TSTP Solution File: SCT169_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT169_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:57:07 EDT 2024
% Result : Theorem 4.68s 1.07s
% Output : Refutation 5.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT169_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:14:12 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (32288)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (32291)WARNING: value z3 for option sas not known
% 0.13/0.38 % (32292)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (32291)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (32293)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (32295)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (32294)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (32290)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (32289)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (32295)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.40 % (32296)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.13/0.40 % (32297)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.13/0.40 % (32298)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.13/0.40 % (32296)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.40 % Exception at run slice level
% 0.13/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs% (32297)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.40
% 0.21/0.42 % (32299)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 4.09/0.93 % (32291)First to succeed.
% 4.68/1.07 % (32298)Also succeeded, but the first one will report.
% 4.68/1.07 % (32291)Refutation found. Thanks to Tanya!
% 4.68/1.07 % SZS status Theorem for theBenchmark
% 4.68/1.07 % SZS output start Proof for theBenchmark
% 4.68/1.07 tff(type_def_5, type, arrow_411405190le_alt: $tType).
% 4.68/1.07 tff(type_def_6, type, bool: $tType).
% 4.68/1.07 tff(type_def_7, type, list: $tType > $tType).
% 4.68/1.07 tff(type_def_8, type, fun: ($tType * $tType) > $tType).
% 4.68/1.07 tff(func_def_0, type, append: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_1, type, butlast: !>[X0: $tType]:((list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_2, type, dropWhile: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_3, type, hd: !>[X0: $tType]:((list(X0)) > X0)).
% 4.68/1.07 tff(func_def_4, type, insert: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_5, type, last: !>[X0: $tType]:((list(X0)) > X0)).
% 4.68/1.07 tff(func_def_6, type, linorder_insort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0 * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_7, type, linorder_sort_key: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_8, type, cons: !>[X0: $tType]:((X0 * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_9, type, nil: !>[X0: $tType]:(list(X0))).
% 4.68/1.07 tff(func_def_10, type, list_case: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),X0)) * list(X1)) > X0)).
% 4.68/1.07 tff(func_def_11, type, list_rec: !>[X0: $tType, X1: $tType]:((X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1)) > X0)).
% 4.68/1.07 tff(func_def_12, type, maps: !>[X0: $tType, X1: $tType]:((fun(X0,list(X1)) * list(X0)) > list(X1))).
% 4.68/1.07 tff(func_def_13, type, rev: !>[X0: $tType]:((list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_14, type, rotate1: !>[X0: $tType]:((list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_15, type, splice: !>[X0: $tType]:((list(X0) * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_16, type, takeWhile: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_17, type, aa: !>[X0: $tType, X1: $tType]:((fun(X0,X1) * X0) > X1)).
% 4.68/1.07 tff(func_def_18, type, fFalse: bool).
% 4.68/1.07 tff(func_def_19, type, fTrue: bool).
% 4.68/1.07 tff(func_def_20, type, a: arrow_411405190le_alt).
% 4.68/1.07 tff(func_def_21, type, b: arrow_411405190le_alt).
% 4.68/1.07 tff(func_def_22, type, sK3: !>[X0: $tType]:((list(X0)) > X0)).
% 4.68/1.07 tff(func_def_23, type, sK4: !>[X0: $tType]:((list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_24, type, sK5: !>[X0: $tType]:((list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_25, type, sK6: !>[X0: $tType]:((list(X0)) > X0)).
% 4.68/1.07 tff(func_def_26, type, sK7: !>[X0: $tType]:((list(X0)) > X0)).
% 4.68/1.07 tff(func_def_27, type, sK8: !>[X0: $tType]:((list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_28, type, sK9: !>[X0: $tType]:((fun(list(X0),bool)) > X0)).
% 4.68/1.07 tff(func_def_29, type, sK10: !>[X0: $tType]:((fun(list(X0),bool)) > list(X0))).
% 4.68/1.07 tff(func_def_30, type, sK11: !>[X0: $tType]:((fun(list(X0),bool)) > X0)).
% 4.68/1.07 tff(func_def_31, type, sK12: !>[X0: $tType]:((fun(list(X0),bool)) > X0)).
% 4.68/1.07 tff(func_def_32, type, sK13: !>[X0: $tType]:((fun(list(X0),bool)) > list(X0))).
% 4.68/1.07 tff(func_def_33, type, sK14: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > list(X0))).
% 4.68/1.07 tff(func_def_34, type, sK15: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > list(X0))).
% 4.68/1.07 tff(func_def_35, type, sK16: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > list(X0))).
% 4.68/1.07 tff(func_def_36, type, sK17: arrow_411405190le_alt).
% 4.68/1.07 tff(func_def_37, type, sK18: arrow_411405190le_alt).
% 4.68/1.07 tff(func_def_38, type, sK19: arrow_411405190le_alt).
% 4.68/1.07 tff(pred_def_1, type, linorder: !>[X0: $tType]:($o)).
% 4.68/1.07 tff(pred_def_2, type, equal_equal: !>[X0: $tType]:((X0 * X0) > $o)).
% 4.68/1.07 tff(pred_def_3, type, distinct: !>[X0: $tType]:((list(X0)) > $o)).
% 4.68/1.07 tff(pred_def_4, type, list_ex1: !>[X0: $tType]:((fun(X0,bool) * list(X0)) > $o)).
% 4.68/1.07 tff(pred_def_5, type, null: !>[X0: $tType]:((list(X0)) > $o)).
% 4.68/1.07 tff(pred_def_6, type, pp: bool > $o).
% 4.68/1.07 tff(pred_def_7, type, sP0: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * list(X0)) > $o)).
% 4.68/1.07 tff(pred_def_8, type, sP1: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > $o)).
% 4.68/1.07 tff(pred_def_9, type, sP2: !>[X0: $tType]:((list(X0) * list(X0) * list(X0) * X0) > $o)).
% 4.68/1.07 tff(f16248,plain,(
% 4.68/1.07 $false),
% 4.68/1.07 inference(avatar_sat_refutation,[],[f15664,f15843,f15846,f15879,f15882,f15885,f15888,f15890,f15892,f15894,f15896,f15899,f15902,f16155,f16247])).
% 4.68/1.07 tff(f16247,plain,(
% 4.68/1.07 ~spl20_1 | spl20_2),
% 4.68/1.07 inference(avatar_contradiction_clause,[],[f16246])).
% 4.68/1.07 tff(f16246,plain,(
% 4.68/1.07 $false | (~spl20_1 | spl20_2)),
% 4.68/1.07 inference(subsumption_resolution,[],[f16245,f521])).
% 4.68/1.07 tff(f521,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X3,cons(X0,X3,X1)))) )),
% 4.68/1.07 inference(equality_resolution,[],[f439])).
% 4.68/1.07 tff(f439,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (X2 != X3 | ~distinct(X0,cons(X0,X3,cons(X0,X2,X1)))) )),
% 4.68/1.07 inference(cnf_transformation,[],[f288])).
% 4.68/1.07 tff(f288,plain,(
% 4.68/1.07 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : X0] : ((distinct(X0,cons(X0,X3,cons(X0,X2,X1))) | ~distinct(X0,cons(X0,X2,X1)) | ~distinct(X0,cons(X0,X3,X1)) | X2 = X3) & ((distinct(X0,cons(X0,X2,X1)) & distinct(X0,cons(X0,X3,X1)) & X2 != X3) | ~distinct(X0,cons(X0,X3,cons(X0,X2,X1)))))),
% 4.68/1.07 inference(flattening,[],[f287])).
% 4.68/1.07 tff(f287,plain,(
% 4.68/1.07 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : X0] : ((distinct(X0,cons(X0,X3,cons(X0,X2,X1))) | (~distinct(X0,cons(X0,X2,X1)) | ~distinct(X0,cons(X0,X3,X1)) | X2 = X3)) & ((distinct(X0,cons(X0,X2,X1)) & distinct(X0,cons(X0,X3,X1)) & X2 != X3) | ~distinct(X0,cons(X0,X3,cons(X0,X2,X1)))))),
% 4.68/1.07 inference(nnf_transformation,[],[f187])).
% 4.68/1.07 tff(f187,plain,(
% 4.68/1.07 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : X0] : (distinct(X0,cons(X0,X3,cons(X0,X2,X1))) <=> (distinct(X0,cons(X0,X2,X1)) & distinct(X0,cons(X0,X3,X1)) & X2 != X3))),
% 4.68/1.07 inference(rectify,[],[f5])).
% 4.68/1.07 tff(f5,axiom,(
% 4.68/1.07 ! [X0 : $tType,X11 : list(X0),X12 : X0,X10 : X0] : (distinct(X0,cons(X0,X10,cons(X0,X12,X11))) <=> (distinct(X0,cons(X0,X12,X11)) & distinct(X0,cons(X0,X10,X11)) & X10 != X12))),
% 4.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_distinct__length__2__or__more)).
% 4.68/1.07 tff(f16245,plain,(
% 4.68/1.07 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))))) | (~spl20_1 | spl20_2)),
% 4.68/1.07 inference(forward_demodulation,[],[f16244,f15659])).
% 4.68/1.07 tff(f15659,plain,(
% 4.68/1.07 a = sK17 | ~spl20_1),
% 4.68/1.07 inference(avatar_component_clause,[],[f15657])).
% 4.68/1.07 tff(f15657,plain,(
% 4.68/1.07 spl20_1 <=> a = sK17),
% 4.68/1.07 introduced(avatar_definition,[new_symbols(naming,[spl20_1])])).
% 4.68/1.07 tff(f16244,plain,(
% 4.68/1.07 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))))) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16238,f15903])).
% 4.68/1.07 tff(f15903,plain,(
% 4.68/1.07 b = sK19 | spl20_2),
% 4.68/1.07 inference(resolution,[],[f15662,f14713])).
% 4.68/1.07 tff(f14713,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (distinct(X0,cons(X0,X2,insert(X0,X1,nil(X0)))) | X1 = X2) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14712,f327])).
% 4.68/1.07 tff(f327,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X1 : X0] : (distinct(X0,cons(X0,X1,nil(X0)))) )),
% 4.68/1.07 inference(cnf_transformation,[],[f110])).
% 4.68/1.07 tff(f110,plain,(
% 4.68/1.07 ! [X0 : $tType,X1 : X0] : distinct(X0,cons(X0,X1,nil(X0)))),
% 4.68/1.07 inference(rectify,[],[f3])).
% 4.68/1.07 tff(f3,axiom,(
% 4.68/1.07 ! [X0 : $tType,X6 : X0] : distinct(X0,cons(X0,X6,nil(X0)))),
% 4.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_distinct__singleton)).
% 4.68/1.07 tff(f14712,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (distinct(X0,cons(X0,X2,insert(X0,X1,nil(X0)))) | ~distinct(X0,cons(X0,X2,nil(X0))) | X1 = X2) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14688,f327])).
% 4.68/1.07 tff(f14688,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (distinct(X0,cons(X0,X2,insert(X0,X1,nil(X0)))) | ~distinct(X0,cons(X0,X1,nil(X0))) | ~distinct(X0,cons(X0,X2,nil(X0))) | X1 = X2) )),
% 4.68/1.07 inference(superposition,[],[f442,f335])).
% 4.68/1.07 tff(f335,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X1 : X0] : (cons(X0,X1,nil(X0)) = insert(X0,X1,nil(X0))) )),
% 4.68/1.07 inference(cnf_transformation,[],[f118])).
% 4.68/1.07 tff(f118,plain,(
% 4.68/1.07 ! [X0 : $tType,X1 : X0] : cons(X0,X1,nil(X0)) = insert(X0,X1,nil(X0))),
% 4.68/1.07 inference(rectify,[],[f12])).
% 4.68/1.07 tff(f12,axiom,(
% 4.68/1.07 ! [X0 : $tType,X6 : X0] : cons(X0,X6,nil(X0)) = insert(X0,X6,nil(X0))),
% 4.68/1.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_insert__Nil)).
% 4.68/1.07 tff(f442,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (distinct(X0,cons(X0,X3,cons(X0,X2,X1))) | ~distinct(X0,cons(X0,X2,X1)) | ~distinct(X0,cons(X0,X3,X1)) | X2 = X3) )),
% 4.68/1.07 inference(cnf_transformation,[],[f288])).
% 4.68/1.07 tff(f15662,plain,(
% 4.68/1.07 ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | spl20_2),
% 4.68/1.07 inference(avatar_component_clause,[],[f15661])).
% 4.68/1.07 tff(f15661,plain,(
% 4.68/1.07 spl20_2 <=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))),
% 4.68/1.07 introduced(avatar_definition,[new_symbols(naming,[spl20_2])])).
% 4.68/1.07 tff(f16238,plain,(
% 4.68/1.07 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1154,f16225])).
% 4.68/1.07 tff(f16225,plain,(
% 4.68/1.07 a = sK18 | spl20_2),
% 4.68/1.07 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229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707,f14708,f14711,f14691,f14692,f14718,f14719,f14713,f14737,f14738,f14414,f14415,f14416,f14706,f14756,f14757,f14745,f14769,f14770,f14758,f14879,f14774,f14775,f14776,f14777,f14778,f14779,f14781,f14782,f14783,f14784,f14785,f14786,f14787,f14788,f14789,f14790,f14791,f14792,f14793,f14794,f14795,f14796,f14880,f14800,f14801,f14802,f14803,f14804,f14805,f14806,f14881,f14882,f14809,f14810,f14811,f14813,f14814,f14815,f14816,f14883,f14818,f14819,f14820,f14821,f14822,f14823,f14824,f14825,f14826,f14827,f14828,f14829,f14884,f14831,f14832,f14834,f14836,f14837,f14838,f14839,f14840,f14841,f14842,f14843,f14846,f14847,f14848,f14849,f14850,f14852,f14853,f14854,f14855,f14856,f14857,f14858,f14859,f14860,f14861,f14862,f14863,f14864,f14865,f14866,f14867,f14868,f14869,f14870,f14871,f14872,f14875,f14876,f14877,f466,f14897,f14898,f14899,f14900,f14901,f14892,f14902,f14903,f14771,f14904,f14905,f14908,f14909,f15379,f15380,f15381,f15382,f15383,f15384,f14925,f14926,f14927,f14928,f14929,f14930,f14931,f14932,f14933,f14934,f14935,f14936,f14937,f14938,f14939,f14940,f14941,f14942,f15385,f14944,f14945,f14946,f14947,f14948,f14949,f14950,f14951,f14952,f15386,f15387,f14955,f14956,f14957,f14958,f14959,f14960,f14961,f14962,f15388,f14964,f14965,f14966,f14967,f14968,f14969,f14970,f14971,f14972,f14973,f14974,f14975,f15389,f14977,f14978,f14979,f14980,f14981,f14982,f14983,f14984,f14985,f14986,f14987,f14988,f14989,f14990,f14991,f14992,f14993,f14994,f14995,f14996,f14997,f14998,f14999,f15000,f15001,f15002,f15003,f15004,f15005,f15006,f15007,f15008,f15009,f15010,f15011,f15012,f15013,f15014,f15015,f15016,f15017,f15018,f15019,f15020,f15021,f15022,f15023,f15391,f15392,f15393,f15394,f15395,f15396,f15037,f15038,f15039,f15040,f15041,f15042,f15043,f15044,f15045,f15046,f15047,f15048,f15049,f15050,f15051,f15052,f15053,f15054,f15397,f15056,f15057,f15058,f15059,f15060,f15061,f15062,f15063,f15064,f15398,f15399,f15067,f15068,f15069,f15070,f15071,f15072,f15073,f15074,f15400,f15076,f15077,f15078,f15079,f15080,f15081,f15082,f15083,f15084,f15085,f15086,f15087,f15401,f15089,f15090,f15091,f15092,f15093,f15094,f15095,f15096,f15097,f15098,f15099,f15100,f15101,f15102,f15103,f15104,f15105,f15106,f15107,f15108,f15109,f15110,f15111,f15112,f15113,f15114,f15115,f15116,f15117,f15118,f15119,f15120,f15121,f15122,f15123,f15124,f15125,f15126,f15127,f15128,f15129,f15130,f15131,f15132,f15133,f15134,f15135,f15402,f15137,f15138,f15139,f15140,f15149,f15150,f15151,f15152,f15153,f15154,f15155,f15156,f15157,f15158,f15159,f15160,f15161,f15162,f15163,f15164,f15165,f15166,f15403,f15168,f15169,f15170,f15171,f15172,f15173,f15174,f15175,f15176,f15404,f15405,f15179,f15180,f15181,f15182,f15183,f15184,f15185,f15186,f15406,f15188,f15189,f15190,f15191,f15192,f15193,f15194,f15195,f15196,f15197,f15198,f15199,f15407,f15201,f15202,f15203,f15204,f15205,f15206,f15207,f15208,f15209,f15210,f15211,f15212,f15213,f15214,f15215,f15216,f15217,f15218,f15219,f15220,f15221,f15222,f15223,f15224,f15225,f15226,f15227,f15228,f15229,f15230,f15231,f15232,f15233,f15234,f15235,f15236,f15237,f15238,f15239,f15240,f15241,f15242,f15243,f15244,f15245,f15246,f15247,f15408,f15249,f15250,f15251,f15252,f15261,f15262,f15263,f15264,f15265,f15266,f15267,f15268,f15269,f15270,f15271,f15272,f15273,f15274,f15275,f15276,f15277,f15278,f15409,f15280,f15281,f15282,f15283,f15284,f15285,f15286,f15287,f15288,f15410,f15411,f15291,f15292,f15293,f15294,f15295,f15296,f15297,f15298,f15412,f15300,f15301,f15302,f15303,f15304,f15305,f15306,f15307,f15308,f15309,f15310,f15311,f15413,f15313,f15314,f15315,f15316,f15317,f15318,f15319,f15320,f15321,f15322,f15323,f15324,f15325,f15326,f15327,f15328,f15329,f15330,f15331,f15332,f15333,f15334,f15335,f15336,f15337,f15338,f15339,f15340,f15341,f15342,f15343,f15344,f15345,f15346,f15347,f15348,f15349,f15350,f15351,f15352,f15353,f15354,f15355,f15356,f15357,f15358,f15359,f14799,f15414,f15415,f15418,f15419,f15433,f14845,f15435,f15436,f15440,f15459,f15461,f15463,f15464,f15466,f14874,f15467,f15468,f15471,f15493,f15495,f15497,f15498,f15500,f14798,f15514,f14812,f15528,f15530,f14833,f14835,f14844,f15563,f15565,f15567,f15569,f14851,f15585,f15586,f468,f15599,f15600,f15601,f15602,f15603,f15594,f15604,f14873,f15625,f15627,f15629,f15631,f15434,f15633,f15634,f15653,f15641,f15642,f15654,f15655,f14780,f474,f15684,f15685,f15686,f15687,f15688,f15679,f15689,f15690,f15662,f15904,f15921,f15922,f15909,f15910,f15911,f15912,f15923,f15903,f15936,f15932,f15933,f15935,f15950,f15951,f15952,f15953,f16057,f16058,f16059,f16060,f16061,f16066,f16067,f16068,f16069,f16070,f16071,f16072,f16074,f16076,f16077,f16078,f16079,f16081,f16082,f16083,f16084,f16087,f16088,f16089,f16090,f16091,f16092,f16093,f16094,f16095,f16096,f16097,f16098,f16101,f16102,f16104,f16106,f16107,f16108,f16109,f16110,f16111,f16112,f16113,f16116,f16117,f16118,f16119,f16120,f16122,f16123,f16124,f16125,f16126,f16127,f16128,f16129,f16130,f16131,f16132,f16133,f16134,f16135,f16136,f16137,f16138,f16139,f16140,f16141,f16142,f16145,f16146,f16147,f16051,f476,f16177,f16178,f16179,f16180,f16181,f16172,f16182,f15931,f16209])).
% 4.68/1.07 tff(f16209,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))) | a = sK18 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15931,f14771])).
% 4.68/1.07 tff(f15931,plain,(
% 4.68/1.07 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1591,f15903])).
% 4.68/1.07 tff(f16182,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = X3 | append(X0,X2,X3) = append(X0,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 4.68/1.07 inference(forward_demodulation,[],[f16173,f430])).
% 4.68/1.07 tff(f16173,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,append(X0,X2,X3)) = X3 | append(X0,X2,X3) = append(X0,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 4.68/1.07 inference(resolution,[],[f476,f538])).
% 4.68/1.07 tff(f16172,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = dropWhile(X0,X3,X2) | append(X0,sK16(X0,X2,dropWhile(X0,X3,X2),cons(X0,X1,takeWhile(X0,X3,X2)),X1),dropWhile(X0,X3,X2)) = X2) )),
% 4.68/1.07 inference(resolution,[],[f476,f1098])).
% 4.68/1.07 tff(f16181,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,nil(X0),X3,X1),nil(X0)) = X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f16171,f370])).
% 4.68/1.07 tff(f16171,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK16(X0,X2,nil(X0),X3,X1),nil(X0)) = X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(resolution,[],[f476,f1010])).
% 4.68/1.07 tff(f16180,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f16170,f3138])).
% 4.68/1.07 tff(f16170,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X3 | append(X0,sK16(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f476,f2718])).
% 4.68/1.07 tff(f16179,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,X2,cons(X0,X1,X3),X1),X2) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f16168,f368])).
% 4.68/1.07 tff(f16168,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | append(X0,sK16(X0,X2,X2,cons(X0,X1,X3),X1),X2) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f476,f2650])).
% 4.68/1.07 tff(f16178,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f16167,f368])).
% 4.68/1.07 tff(f16167,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | append(X0,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 4.68/1.07 inference(resolution,[],[f476,f625])).
% 4.68/1.07 tff(f16177,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f16166,f370])).
% 4.68/1.07 tff(f16166,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 4.68/1.07 inference(resolution,[],[f476,f622])).
% 4.68/1.07 tff(f476,plain,(
% 4.68/1.07 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP2(X2,X0,X1,X3,X4) | cons(X2,X4,X0) = X1 | append(X2,sK16(X2,X0,X1,X3,X4),X1) = X0) )),
% 4.68/1.07 inference(cnf_transformation,[],[f310])).
% 4.68/1.07 tff(f310,plain,(
% 4.68/1.07 ! [X0 : list(X2),X1 : list(X2),X2 : $tType,X3 : list(X2),X4 : X2] : ((sP2(X2,X0,X1,X3,X4) | (! [X5 : list(X2)] : (append(X2,X5,X1) != X0 | cons(X2,X4,X5) != X3) & (cons(X2,X4,X0) != X1 | nil(X2) != X3))) & ((append(X2,sK16(X2,X0,X1,X3,X4),X1) = X0 & cons(X2,X4,sK16(X2,X0,X1,X3,X4)) = X3) | (cons(X2,X4,X0) = X1 & nil(X2) = X3) | ~sP2(X2,X0,X1,X3,X4)))),
% 4.68/1.07 inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f308,f309])).
% 4.68/1.07 tff(f309,plain,(
% 4.68/1.07 ! [X2 : $tType,X0 : list(X2),X1 : list(X2),X3 : list(X2),X4 : X2] : (? [X6 : list(X2)] : (append(X2,X6,X1) = X0 & cons(X2,X4,X6) = X3) => (append(X2,sK16(X2,X0,X1,X3,X4),X1) = X0 & cons(X2,X4,sK16(X2,X0,X1,X3,X4)) = X3))),
% 4.68/1.07 introduced(choice_axiom,[])).
% 4.68/1.07 tff(f308,plain,(
% 4.68/1.07 ! [X0 : list(X2),X1 : list(X2),X2 : $tType,X3 : list(X2),X4 : X2] : ((sP2(X2,X0,X1,X3,X4) | (! [X5 : list(X2)] : (append(X2,X5,X1) != X0 | cons(X2,X4,X5) != X3) & (cons(X2,X4,X0) != X1 | nil(X2) != X3))) & (? [X6 : list(X2)] : (append(X2,X6,X1) = X0 & cons(X2,X4,X6) = X3) | (cons(X2,X4,X0) = X1 & nil(X2) = X3) | ~sP2(X2,X0,X1,X3,X4)))),
% 4.68/1.07 inference(rectify,[],[f307])).
% 4.68/1.07 tff(f307,plain,(
% 4.68/1.07 ! [X1 : list(X0),X3 : list(X0),X0 : $tType,X4 : list(X0),X2 : X0] : ((sP2(X0,X1,X3,X4,X2) | (! [X5 : list(X0)] : (append(X0,X5,X3) != X1 | cons(X0,X2,X5) != X4) & (cons(X0,X2,X1) != X3 | nil(X0) != X4))) & (? [X5 : list(X0)] : (append(X0,X5,X3) = X1 & cons(X0,X2,X5) = X4) | (cons(X0,X2,X1) = X3 & nil(X0) = X4) | ~sP2(X0,X1,X3,X4,X2)))),
% 4.68/1.07 inference(flattening,[],[f306])).
% 4.68/1.07 tff(f306,plain,(
% 4.68/1.07 ! [X1 : list(X0),X3 : list(X0),X0 : $tType,X4 : list(X0),X2 : X0] : ((sP2(X0,X1,X3,X4,X2) | (! [X5 : list(X0)] : (append(X0,X5,X3) != X1 | cons(X0,X2,X5) != X4) & (cons(X0,X2,X1) != X3 | nil(X0) != X4))) & ((? [X5 : list(X0)] : (append(X0,X5,X3) = X1 & cons(X0,X2,X5) = X4) | (cons(X0,X2,X1) = X3 & nil(X0) = X4)) | ~sP2(X0,X1,X3,X4,X2)))),
% 4.68/1.07 inference(nnf_transformation,[],[f248])).
% 4.68/1.07 tff(f248,plain,(
% 4.68/1.07 ! [X1 : list(X0),X3 : list(X0),X0 : $tType,X4 : list(X0),X2 : X0] : (sP2(X0,X1,X3,X4,X2) <=> (? [X5 : list(X0)] : (append(X0,X5,X3) = X1 & cons(X0,X2,X5) = X4) | (cons(X0,X2,X1) = X3 & nil(X0) = X4)))),
% 4.68/1.07 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])).
% 4.68/1.07 tff(f16051,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a != sK19 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(equality_factoring,[],[f15935])).
% 4.68/1.07 tff(f16147,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt] : (b = list_case(arrow_411405190le_alt,X0,X4,X1,cons(X0,X2,X3)) | a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16050,f15903])).
% 4.68/1.07 tff(f16050,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt] : (sK19 = list_case(arrow_411405190le_alt,X0,X4,X1,cons(X0,X2,X3)) | a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f487,f15935])).
% 4.68/1.07 tff(f16146,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16049,f15903])).
% 4.68/1.07 tff(f16049,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4997,f15935])).
% 4.68/1.07 tff(f16145,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16048,f15903])).
% 4.68/1.07 tff(f16048,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4387,f15935])).
% 4.68/1.07 tff(f16142,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16045,f15903])).
% 4.68/1.07 tff(f16045,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f3013,f15935])).
% 4.68/1.07 tff(f16141,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16044,f15903])).
% 4.68/1.07 tff(f16044,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f3014,f15935])).
% 4.68/1.07 tff(f16140,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16043,f15903])).
% 4.68/1.07 tff(f16043,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2983,f15935])).
% 4.68/1.07 tff(f16139,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16042,f15903])).
% 4.68/1.07 tff(f16042,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK19,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f351,f15935])).
% 4.68/1.07 tff(f16138,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16041,f15903])).
% 4.68/1.07 tff(f16041,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1919,f15935])).
% 4.68/1.07 tff(f16137,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16040,f15903])).
% 4.68/1.07 tff(f16040,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK19,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1927,f15935])).
% 4.68/1.07 tff(f16136,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16039,f15903])).
% 4.68/1.07 tff(f16039,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2514,f15935])).
% 4.68/1.07 tff(f16135,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16038,f15903])).
% 4.68/1.07 tff(f16038,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),sK19) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1929,f15935])).
% 4.68/1.07 tff(f16134,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16037,f15903])).
% 4.68/1.07 tff(f16037,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),sK19) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1931,f15935])).
% 4.68/1.07 tff(f16133,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16036,f15903])).
% 4.68/1.07 tff(f16036,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7415,f15935])).
% 4.68/1.07 tff(f16132,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16035,f15903])).
% 4.68/1.07 tff(f16035,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7310,f15935])).
% 4.68/1.07 tff(f16131,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16034,f15903])).
% 4.68/1.07 tff(f16034,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7334,f15935])).
% 4.68/1.07 tff(f16130,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16033,f15903])).
% 4.68/1.07 tff(f16033,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7338,f15935])).
% 4.68/1.07 tff(f16129,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16032,f15903])).
% 4.68/1.07 tff(f16032,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7339,f15935])).
% 4.68/1.07 tff(f16128,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16031,f15903])).
% 4.68/1.07 tff(f16031,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7447,f15935])).
% 4.68/1.07 tff(f16127,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16030,f15903])).
% 4.68/1.07 tff(f16030,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7313,f15935])).
% 4.68/1.07 tff(f16126,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16029,f15903])).
% 4.68/1.07 tff(f16029,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7357,f15935])).
% 4.68/1.07 tff(f16125,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16028,f15903])).
% 4.68/1.07 tff(f16028,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7361,f15935])).
% 4.68/1.07 tff(f16124,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16027,f15903])).
% 4.68/1.07 tff(f16027,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7362,f15935])).
% 4.68/1.07 tff(f16123,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16026,f15903])).
% 4.68/1.07 tff(f16026,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f13453,f15935])).
% 4.68/1.07 tff(f16122,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16025,f15903])).
% 4.68/1.07 tff(f16025,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7312,f15935])).
% 4.68/1.07 tff(f16120,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16023,f15903])).
% 4.68/1.07 tff(f16023,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f13326,f15935])).
% 4.68/1.07 tff(f16119,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16022,f15903])).
% 4.68/1.07 tff(f16022,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f6509,f15935])).
% 4.68/1.07 tff(f16118,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16021,f15903])).
% 4.68/1.07 tff(f16021,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7161,f15935])).
% 4.68/1.07 tff(f16117,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16020,f15903])).
% 4.68/1.07 tff(f16020,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4968,f15935])).
% 4.68/1.07 tff(f16116,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16019,f15903])).
% 4.68/1.07 tff(f16019,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4385,f15935])).
% 4.68/1.07 tff(f16113,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16016,f15903])).
% 4.68/1.07 tff(f16016,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2586,f15935])).
% 4.68/1.07 tff(f16112,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16015,f15903])).
% 4.68/1.07 tff(f16015,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2587,f15935])).
% 4.68/1.07 tff(f16111,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16014,f15903])).
% 4.68/1.07 tff(f16014,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2513,f15935])).
% 4.68/1.07 tff(f16110,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16013,f15903])).
% 4.68/1.07 tff(f16013,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK19,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f347,f15935])).
% 4.68/1.07 tff(f16109,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16012,f15903])).
% 4.68/1.07 tff(f16012,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1773,f15935])).
% 4.68/1.07 tff(f16108,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16011,f15903])).
% 4.68/1.07 tff(f16011,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK19,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1781,f15935])).
% 4.68/1.07 tff(f16107,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16010,f15903])).
% 4.68/1.07 tff(f16010,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),sK19) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1783,f15935])).
% 4.68/1.07 tff(f16106,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16009,f15903])).
% 4.68/1.07 tff(f16009,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),sK19) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1785,f15935])).
% 4.68/1.07 tff(f16104,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0)] : (b = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) | a = list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16007,f15903])).
% 4.68/1.07 tff(f16007,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0)] : (sK19 = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) | a = list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f487,f15935])).
% 4.68/1.07 tff(f16102,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16005,f15903])).
% 4.68/1.07 tff(f16005,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4831,f15935])).
% 4.68/1.07 tff(f16101,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16004,f15903])).
% 4.68/1.07 tff(f16004,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4312,f15935])).
% 4.68/1.07 tff(f16098,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16002,f15903])).
% 4.68/1.07 tff(f16002,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4430,f15935])).
% 4.68/1.07 tff(f16097,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16001,f15903])).
% 4.68/1.07 tff(f16001,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4434,f15935])).
% 4.68/1.07 tff(f16096,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16000,f15903])).
% 4.68/1.07 tff(f16000,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4435,f15935])).
% 4.68/1.07 tff(f16095,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15999,f15903])).
% 4.68/1.07 tff(f15999,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5787,f15935])).
% 4.68/1.07 tff(f16094,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15998,f15903])).
% 4.68/1.07 tff(f15998,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5501,f15935])).
% 4.68/1.07 tff(f16093,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15997,f15903])).
% 4.68/1.07 tff(f15997,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5581,f15935])).
% 4.68/1.07 tff(f16092,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15996,f15903])).
% 4.68/1.07 tff(f15996,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f344,f15935])).
% 4.68/1.07 tff(f16091,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15995,f15903])).
% 4.68/1.07 tff(f15995,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5585,f15935])).
% 4.68/1.07 tff(f16090,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15994,f15903])).
% 4.68/1.07 tff(f15994,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5586,f15935])).
% 4.68/1.07 tff(f16089,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15993,f15903])).
% 4.68/1.07 tff(f15993,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1235,f15935])).
% 4.68/1.07 tff(f16088,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15992,f15903])).
% 4.68/1.07 tff(f15992,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4751,f15935])).
% 4.68/1.07 tff(f16087,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15991,f15903])).
% 4.68/1.07 tff(f15991,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5759,f15935])).
% 4.68/1.07 tff(f16084,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15989,f15903])).
% 4.68/1.07 tff(f15989,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f3074,f15935])).
% 4.68/1.07 tff(f16083,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15988,f15903])).
% 4.68/1.07 tff(f15988,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2379,f15935])).
% 4.68/1.07 tff(f16082,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15987,f15903])).
% 4.68/1.07 tff(f15987,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f381,f15935])).
% 4.68/1.07 tff(f16081,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15986,f15903])).
% 4.68/1.07 tff(f15986,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7273,f15935])).
% 4.68/1.07 tff(f16079,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15984,f15903])).
% 4.68/1.07 tff(f15984,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4317,f15935])).
% 4.68/1.07 tff(f16078,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15983,f15903])).
% 4.68/1.07 tff(f15983,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5506,f15935])).
% 4.68/1.07 tff(f16077,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15982,f15903])).
% 4.68/1.07 tff(f15982,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK19 = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2374,f15935])).
% 4.68/1.07 tff(f16076,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0))) | b = X1) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16075,f2238])).
% 4.68/1.07 tff(f16075,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15981,f15903])).
% 4.68/1.07 tff(f15981,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK19 = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f584,f15935])).
% 4.68/1.07 tff(f16074,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X2,X1)))) | b = X2) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f16073,f2238])).
% 4.68/1.07 tff(f16073,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15980,f15903])).
% 4.68/1.07 tff(f15980,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2081,f15935])).
% 4.68/1.07 tff(f16072,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15979,f15903])).
% 4.68/1.07 tff(f15979,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f385,f15935])).
% 4.68/1.07 tff(f16071,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15978,f15903])).
% 4.68/1.07 tff(f15978,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f7166,f15935])).
% 4.68/1.07 tff(f16070,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15977,f15903])).
% 4.68/1.07 tff(f15977,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f6354,f15935])).
% 4.68/1.07 tff(f16069,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15976,f15903])).
% 4.68/1.07 tff(f15976,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4375,f15935])).
% 4.68/1.07 tff(f16068,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15975,f15903])).
% 4.68/1.07 tff(f15975,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (sK19 = X1 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f4381,f15935])).
% 4.68/1.07 tff(f16067,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15974,f15903])).
% 4.68/1.07 tff(f15974,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f343,f15935])).
% 4.68/1.07 tff(f16066,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15973,f15903])).
% 4.68/1.07 tff(f15973,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sK19 = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1304,f15935])).
% 4.68/1.07 tff(f16061,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15969,f15903])).
% 4.68/1.07 tff(f15969,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK19 = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2135,f15935])).
% 4.68/1.07 tff(f16060,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15968,f15903])).
% 4.68/1.07 tff(f15968,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f387,f15935])).
% 4.68/1.07 tff(f16059,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15967,f15903])).
% 4.68/1.07 tff(f15967,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2212,f15935])).
% 4.68/1.07 tff(f16058,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15966,f15903])).
% 4.68/1.07 tff(f15966,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK19 = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f2213,f15935])).
% 4.68/1.07 tff(f16057,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15965,f15903])).
% 4.68/1.07 tff(f15965,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK19,X0)) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1813,f15935])).
% 4.68/1.07 tff(f15953,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f15935])).
% 4.68/1.07 tff(f15952,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5678,f15935])).
% 4.68/1.07 tff(f15951,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1602,f15935])).
% 4.68/1.07 tff(f15950,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1591,f15935])).
% 4.68/1.07 tff(f15935,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sK19 = X0 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(subsumption_resolution,[],[f15924,f319])).
% 4.68/1.07 tff(f15924,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = b | sK19 = X0 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15903,f14771])).
% 4.68/1.07 tff(f15933,plain,(
% 4.68/1.07 distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))))) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f5678,f15903])).
% 4.68/1.07 tff(f15932,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0)) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f1602,f15903])).
% 4.68/1.07 tff(f15936,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sK19 = X0 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(subsumption_resolution,[],[f15925,f319])).
% 4.68/1.07 tff(f15925,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = b | sK19 = X0 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15903,f14771])).
% 4.68/1.07 tff(f15923,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X0) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) ) | spl20_2),
% 4.68/1.07 inference(forward_demodulation,[],[f15919,f328])).
% 4.68/1.07 tff(f15919,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f823])).
% 4.68/1.07 tff(f15912,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X0 | a = sK19) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14771])).
% 4.68/1.07 tff(f15911,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = sK19 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14771])).
% 4.68/1.07 tff(f15910,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14771])).
% 4.68/1.07 tff(f15909,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14771])).
% 4.68/1.07 tff(f15922,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(subsumption_resolution,[],[f15908,f319])).
% 4.68/1.07 tff(f15908,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0 | a = b) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14771])).
% 4.68/1.07 tff(f15921,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(subsumption_resolution,[],[f15907,f319])).
% 4.68/1.07 tff(f15907,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = b | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14771])).
% 4.68/1.07 tff(f15904,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0) ) | spl20_2),
% 4.68/1.07 inference(superposition,[],[f15662,f14758])).
% 4.68/1.07 tff(f15690,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 4.68/1.07 tff(f15689,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = X3 | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15680,f430])).
% 4.68/1.07 tff(f15680,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,append(X0,X2,X3)) = X3 | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(resolution,[],[f474,f538])).
% 4.68/1.07 tff(f15679,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = dropWhile(X0,X3,X2) | cons(X0,X1,takeWhile(X0,X3,X2)) = cons(X0,X1,sK16(X0,X2,dropWhile(X0,X3,X2),cons(X0,X1,takeWhile(X0,X3,X2)),X1))) )),
% 4.68/1.07 inference(resolution,[],[f474,f1098])).
% 4.68/1.07 tff(f15688,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,sK16(X0,X2,nil(X0),X3,X1)) = X3 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15678,f370])).
% 4.68/1.07 tff(f15678,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,sK16(X0,X2,nil(X0),X3,X1)) = X3 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(resolution,[],[f474,f1010])).
% 4.68/1.07 tff(f15687,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15677,f3138])).
% 4.68/1.07 tff(f15677,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X3 | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f474,f2718])).
% 4.68/1.07 tff(f15686,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X3) = cons(X0,X1,sK16(X0,X2,X2,cons(X0,X1,X3),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15675,f368])).
% 4.68/1.07 tff(f15675,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | cons(X0,X1,X3) = cons(X0,X1,sK16(X0,X2,X2,cons(X0,X1,X3),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f474,f2650])).
% 4.68/1.07 tff(f15685,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15674,f368])).
% 4.68/1.07 tff(f15674,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | insert(X0,X1,nil(X0)) = cons(X0,X1,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 4.68/1.07 inference(resolution,[],[f474,f625])).
% 4.68/1.07 tff(f15684,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15673,f370])).
% 4.68/1.07 tff(f15673,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(resolution,[],[f474,f622])).
% 4.68/1.07 tff(f474,plain,(
% 4.68/1.07 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP2(X2,X0,X1,X3,X4) | cons(X2,X4,X0) = X1 | cons(X2,X4,sK16(X2,X0,X1,X3,X4)) = X3) )),
% 4.68/1.07 inference(cnf_transformation,[],[f310])).
% 4.68/1.07 tff(f14780,plain,(
% 4.68/1.07 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = sK17),
% 4.68/1.07 inference(superposition,[],[f1574,f14758])).
% 4.68/1.07 tff(f15655,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X2) | b = X0 | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1)) != X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15651,f328])).
% 4.68/1.07 tff(f15651,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X2))) | b = X0 | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1)) != X2) )),
% 4.68/1.07 inference(superposition,[],[f15434,f823])).
% 4.68/1.07 tff(f15654,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15646,f328])).
% 4.68/1.07 tff(f15646,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X2)))) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(superposition,[],[f15434,f823])).
% 4.68/1.07 tff(f15642,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0) )),
% 4.68/1.07 inference(superposition,[],[f15434,f351])).
% 4.68/1.07 tff(f15641,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0) )),
% 4.68/1.07 inference(superposition,[],[f15434,f347])).
% 4.68/1.07 tff(f15653,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1)),X2)) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15637,f430])).
% 4.68/1.07 tff(f15637,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f15434,f430])).
% 4.68/1.07 tff(f15634,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))) | b = X1 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f15434,f14771])).
% 4.68/1.07 tff(f15633,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))) | b = X1 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f15434,f14771])).
% 4.68/1.07 tff(f15434,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15430,f370])).
% 4.68/1.07 tff(f15430,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1813,f14799])).
% 4.68/1.07 tff(f15631,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15630,f4531])).
% 4.68/1.07 tff(f15630,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = cons(arrow_411405190le_alt,a,sK8(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15622,f569])).
% 4.68/1.07 tff(f15622,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = cons(arrow_411405190le_alt,a,sK8(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f351,f14873])).
% 4.68/1.07 tff(f15629,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,nil(arrow_411405190le_alt),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15628,f4531])).
% 4.68/1.07 tff(f15628,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15618,f569])).
% 4.68/1.07 tff(f15618,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14873])).
% 4.68/1.07 tff(f15627,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,nil(arrow_411405190le_alt),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15626,f4531])).
% 4.68/1.07 tff(f15626,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15617,f569])).
% 4.68/1.07 tff(f15617,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14873])).
% 4.68/1.07 tff(f15625,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X1) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15608,f328])).
% 4.68/1.07 tff(f15608,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(superposition,[],[f14873,f823])).
% 4.68/1.07 tff(f14873,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f2973,f14758])).
% 4.68/1.07 tff(f15604,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = X3 | append(X0,X2,X3) = append(X0,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15595,f430])).
% 4.68/1.07 tff(f15595,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,append(X0,X2,X3)) = X3 | append(X0,X2,X3) = append(X0,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 4.68/1.07 inference(resolution,[],[f468,f534])).
% 4.68/1.07 tff(f15594,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = dropWhile(X0,X3,X2) | append(X0,sK15(X0,X2,dropWhile(X0,X3,X2),cons(X0,X1,takeWhile(X0,X3,X2)),X1),dropWhile(X0,X3,X2)) = X2) )),
% 4.68/1.07 inference(resolution,[],[f468,f1097])).
% 4.68/1.07 tff(f15603,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,nil(X0),X3,X1),nil(X0)) = X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15593,f370])).
% 4.68/1.07 tff(f15593,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK15(X0,X2,nil(X0),X3,X1),nil(X0)) = X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(resolution,[],[f468,f1009])).
% 4.68/1.07 tff(f15602,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15592,f3138])).
% 4.68/1.07 tff(f15592,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X3 | append(X0,sK15(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f468,f2717])).
% 4.68/1.07 tff(f15601,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,X2,cons(X0,X1,X3),X1),X2) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15590,f368])).
% 4.68/1.07 tff(f15590,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | append(X0,sK15(X0,X2,X2,cons(X0,X1,X3),X1),X2) = X2 | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f468,f2649])).
% 4.68/1.07 tff(f15600,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15589,f368])).
% 4.68/1.07 tff(f15589,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | append(X0,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 4.68/1.07 inference(resolution,[],[f468,f619])).
% 4.68/1.07 tff(f15599,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15588,f370])).
% 4.68/1.07 tff(f15588,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 4.68/1.07 inference(resolution,[],[f468,f616])).
% 4.68/1.07 tff(f468,plain,(
% 4.68/1.07 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP1(X2,X0,X1,X3,X4) | cons(X2,X4,X0) = X1 | append(X2,sK15(X2,X0,X1,X3,X4),X1) = X0) )),
% 4.68/1.07 inference(cnf_transformation,[],[f304])).
% 4.68/1.07 tff(f304,plain,(
% 4.68/1.07 ! [X0 : list(X2),X1 : list(X2),X2 : $tType,X3 : list(X2),X4 : X2] : ((sP1(X2,X0,X1,X3,X4) | (! [X5 : list(X2)] : (append(X2,X5,X1) != X0 | cons(X2,X4,X5) != X3) & (cons(X2,X4,X0) != X1 | nil(X2) != X3))) & ((append(X2,sK15(X2,X0,X1,X3,X4),X1) = X0 & cons(X2,X4,sK15(X2,X0,X1,X3,X4)) = X3) | (cons(X2,X4,X0) = X1 & nil(X2) = X3) | ~sP1(X2,X0,X1,X3,X4)))),
% 4.68/1.07 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f302,f303])).
% 4.68/1.07 tff(f303,plain,(
% 4.68/1.07 ! [X2 : $tType,X0 : list(X2),X1 : list(X2),X3 : list(X2),X4 : X2] : (? [X6 : list(X2)] : (append(X2,X6,X1) = X0 & cons(X2,X4,X6) = X3) => (append(X2,sK15(X2,X0,X1,X3,X4),X1) = X0 & cons(X2,X4,sK15(X2,X0,X1,X3,X4)) = X3))),
% 4.68/1.07 introduced(choice_axiom,[])).
% 4.68/1.07 tff(f302,plain,(
% 4.68/1.07 ! [X0 : list(X2),X1 : list(X2),X2 : $tType,X3 : list(X2),X4 : X2] : ((sP1(X2,X0,X1,X3,X4) | (! [X5 : list(X2)] : (append(X2,X5,X1) != X0 | cons(X2,X4,X5) != X3) & (cons(X2,X4,X0) != X1 | nil(X2) != X3))) & (? [X6 : list(X2)] : (append(X2,X6,X1) = X0 & cons(X2,X4,X6) = X3) | (cons(X2,X4,X0) = X1 & nil(X2) = X3) | ~sP1(X2,X0,X1,X3,X4)))),
% 4.68/1.07 inference(rectify,[],[f301])).
% 4.68/1.07 tff(f301,plain,(
% 4.68/1.07 ! [X3 : list(X0),X1 : list(X0),X0 : $tType,X2 : list(X0),X4 : X0] : ((sP1(X0,X3,X1,X2,X4) | (! [X5 : list(X0)] : (append(X0,X5,X1) != X3 | cons(X0,X4,X5) != X2) & (cons(X0,X4,X3) != X1 | nil(X0) != X2))) & (? [X5 : list(X0)] : (append(X0,X5,X1) = X3 & cons(X0,X4,X5) = X2) | (cons(X0,X4,X3) = X1 & nil(X0) = X2) | ~sP1(X0,X3,X1,X2,X4)))),
% 4.68/1.07 inference(flattening,[],[f300])).
% 4.68/1.07 tff(f300,plain,(
% 4.68/1.07 ! [X3 : list(X0),X1 : list(X0),X0 : $tType,X2 : list(X0),X4 : X0] : ((sP1(X0,X3,X1,X2,X4) | (! [X5 : list(X0)] : (append(X0,X5,X1) != X3 | cons(X0,X4,X5) != X2) & (cons(X0,X4,X3) != X1 | nil(X0) != X2))) & ((? [X5 : list(X0)] : (append(X0,X5,X1) = X3 & cons(X0,X4,X5) = X2) | (cons(X0,X4,X3) = X1 & nil(X0) = X2)) | ~sP1(X0,X3,X1,X2,X4)))),
% 4.68/1.07 inference(nnf_transformation,[],[f246])).
% 4.68/1.07 tff(f246,plain,(
% 4.68/1.07 ! [X3 : list(X0),X1 : list(X0),X0 : $tType,X2 : list(X0),X4 : X0] : (sP1(X0,X3,X1,X2,X4) <=> (? [X5 : list(X0)] : (append(X0,X5,X1) = X3 & cons(X0,X4,X5) = X2) | (cons(X0,X4,X3) = X1 & nil(X0) = X2)))),
% 4.68/1.07 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])).
% 4.68/1.07 tff(f15586,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15582,f569])).
% 4.68/1.07 tff(f15582,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f6509,f14851])).
% 4.68/1.07 tff(f15585,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK6(arrow_411405190le_alt,X1) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15573,f328])).
% 4.68/1.07 tff(f15573,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(superposition,[],[f14851,f823])).
% 4.68/1.07 tff(f14851,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = sK6(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f7301,f14758])).
% 4.68/1.07 tff(f15569,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = cons(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15568,f4513])).
% 4.68/1.07 tff(f15568,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = cons(arrow_411405190le_alt,a,sK4(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15560,f569])).
% 4.68/1.07 tff(f15560,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = cons(arrow_411405190le_alt,a,sK4(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f347,f14844])).
% 4.68/1.07 tff(f15567,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,nil(arrow_411405190le_alt),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15566,f4513])).
% 4.68/1.07 tff(f15566,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15557,f569])).
% 4.68/1.07 tff(f15557,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1783,f14844])).
% 4.68/1.07 tff(f15565,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,nil(arrow_411405190le_alt),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15564,f4513])).
% 4.68/1.07 tff(f15564,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15556,f569])).
% 4.68/1.07 tff(f15556,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1785,f14844])).
% 4.68/1.07 tff(f15563,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X1) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15548,f328])).
% 4.68/1.07 tff(f15548,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(superposition,[],[f14844,f823])).
% 4.68/1.07 tff(f14844,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f2503,f14758])).
% 4.68/1.07 tff(f14835,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),fun(arrow_411405190le_alt,arrow_411405190le_alt))),X1 : arrow_411405190le_alt] : (a = list_rec(arrow_411405190le_alt,X0,X1,X2,nil(X0)) | b = X1) )),
% 4.68/1.07 inference(superposition,[],[f428,f14758])).
% 4.68/1.07 tff(f14833,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X1 : arrow_411405190le_alt] : (a = list_case(arrow_411405190le_alt,X0,X1,X2,nil(X0)) | b = X1) )),
% 4.68/1.07 inference(superposition,[],[f427,f14758])).
% 4.68/1.07 tff(f15530,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = append(arrow_411405190le_alt,nil(arrow_411405190le_alt),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15529,f565])).
% 4.68/1.07 tff(f15529,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15525,f569])).
% 4.68/1.07 tff(f15525,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) = append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) | nil(arrow_411405190le_alt) = insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f6354,f14812])).
% 4.68/1.07 tff(f15528,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,X1) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15518,f328])).
% 4.68/1.07 tff(f15518,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(superposition,[],[f14812,f823])).
% 4.68/1.07 tff(f14812,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f566,f14758])).
% 4.68/1.07 tff(f15514,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,X1) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15504,f328])).
% 4.68/1.07 tff(f15504,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.07 inference(superposition,[],[f14798,f823])).
% 4.68/1.07 tff(f14798,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f571,f14758])).
% 4.68/1.07 tff(f15500,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,X1) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15499,f4507])).
% 4.68/1.07 tff(f15499,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,X1) = cons(arrow_411405190le_alt,a,sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15490,f370])).
% 4.68/1.07 tff(f15490,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,X1) = cons(arrow_411405190le_alt,a,sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f351,f14874])).
% 4.68/1.07 tff(f15498,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15488,f370])).
% 4.68/1.07 tff(f15488,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1927,f14874])).
% 4.68/1.07 tff(f15497,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15496,f4507])).
% 4.68/1.07 tff(f15496,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15486,f370])).
% 4.68/1.07 tff(f15486,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14874])).
% 4.68/1.07 tff(f15495,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15494,f4507])).
% 4.68/1.07 tff(f15494,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15485,f370])).
% 4.68/1.07 tff(f15485,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14874])).
% 4.68/1.07 tff(f15493,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X2) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15476,f328])).
% 4.68/1.07 tff(f15476,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X2))) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(superposition,[],[f14874,f823])).
% 4.68/1.07 tff(f15471,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0) )),
% 4.68/1.07 inference(superposition,[],[f14874,f347])).
% 4.68/1.07 tff(f15468,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f14874,f335])).
% 4.68/1.07 tff(f15467,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f14874,f430])).
% 4.68/1.07 tff(f14874,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f2976,f14758])).
% 4.68/1.07 tff(f15466,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,X1) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15465,f4506])).
% 4.68/1.07 tff(f15465,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,X1) = cons(arrow_411405190le_alt,a,sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15456,f370])).
% 4.68/1.07 tff(f15456,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,X1) = cons(arrow_411405190le_alt,a,sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f347,f14845])).
% 4.68/1.07 tff(f15464,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15454,f370])).
% 4.68/1.07 tff(f15454,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1781,f14845])).
% 4.68/1.07 tff(f15463,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15462,f4506])).
% 4.68/1.07 tff(f15462,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15453,f370])).
% 4.68/1.07 tff(f15453,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1783,f14845])).
% 4.68/1.07 tff(f15461,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15460,f4506])).
% 4.68/1.07 tff(f15460,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | b = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15452,f370])).
% 4.68/1.07 tff(f15452,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)),cons(arrow_411405190le_alt,X0,X1),nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = cons(arrow_411405190le_alt,X0,X1) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f1785,f14845])).
% 4.68/1.07 tff(f15459,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X2) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15444,f328])).
% 4.68/1.07 tff(f15444,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X2))) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(superposition,[],[f14845,f823])).
% 4.68/1.07 tff(f15440,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0) )),
% 4.68/1.07 inference(superposition,[],[f14845,f351])).
% 4.68/1.07 tff(f15436,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f14845,f335])).
% 4.68/1.07 tff(f15435,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f14845,f430])).
% 4.68/1.07 tff(f14845,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f2506,f14758])).
% 4.68/1.07 tff(f15433,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,X2) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15423,f328])).
% 4.68/1.07 tff(f15423,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X2))) | b = X0 | cons(arrow_411405190le_alt,X0,X1) != X2) )),
% 4.68/1.07 inference(superposition,[],[f14799,f823])).
% 4.68/1.07 tff(f15419,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,X0) | b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0) )),
% 4.68/1.07 inference(superposition,[],[f14799,f351])).
% 4.68/1.07 tff(f15418,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,X0) | b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0) )),
% 4.68/1.07 inference(superposition,[],[f14799,f347])).
% 4.68/1.07 tff(f15415,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f14799,f335])).
% 4.68/1.07 tff(f15414,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f14799,f430])).
% 4.68/1.07 tff(f14799,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | b = X0) )),
% 4.68/1.07 inference(superposition,[],[f372,f14758])).
% 4.68/1.07 tff(f15359,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt,X5 : arrow_411405190le_alt] : (a = list_case(arrow_411405190le_alt,X0,X4,X1,cons(X0,X2,X3)) | aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3) = X5 | a = X5) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15358,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4997,f14771])).
% 4.68/1.07 tff(f15357,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4387,f14771])).
% 4.68/1.07 tff(f15356,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK7(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2976,f14771])).
% 4.68/1.07 tff(f15355,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | sK7(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2973,f14771])).
% 4.68/1.07 tff(f15354,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f3013,f14771])).
% 4.68/1.07 tff(f15353,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f3014,f14771])).
% 4.68/1.07 tff(f15352,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2983,f14771])).
% 4.68/1.07 tff(f15351,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f351,f14771])).
% 4.68/1.07 tff(f15350,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1919,f14771])).
% 4.68/1.07 tff(f15349,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1927,f14771])).
% 4.68/1.07 tff(f15348,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2514,f14771])).
% 4.68/1.07 tff(f15347,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14771])).
% 4.68/1.07 tff(f15346,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14771])).
% 4.68/1.07 tff(f15345,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7415,f14771])).
% 4.68/1.07 tff(f15344,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7310,f14771])).
% 4.68/1.07 tff(f15343,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7334,f14771])).
% 4.68/1.07 tff(f15342,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7338,f14771])).
% 4.68/1.07 tff(f15341,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7339,f14771])).
% 4.68/1.07 tff(f15340,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7447,f14771])).
% 4.68/1.07 tff(f15339,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7313,f14771])).
% 4.68/1.07 tff(f15338,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7357,f14771])).
% 4.68/1.07 tff(f15337,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7361,f14771])).
% 4.68/1.07 tff(f15336,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7362,f14771])).
% 4.68/1.07 tff(f15335,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f13453,f14771])).
% 4.68/1.07 tff(f15334,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7312,f14771])).
% 4.68/1.07 tff(f15333,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | sK6(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7301,f14771])).
% 4.68/1.07 tff(f15332,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f13326,f14771])).
% 4.68/1.07 tff(f15331,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f6509,f14771])).
% 4.68/1.07 tff(f15330,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7161,f14771])).
% 4.68/1.07 tff(f15329,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4968,f14771])).
% 4.68/1.07 tff(f15328,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4385,f14771])).
% 4.68/1.07 tff(f15327,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK3(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2506,f14771])).
% 4.68/1.07 tff(f15326,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | sK3(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2503,f14771])).
% 4.68/1.07 tff(f15325,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2586,f14771])).
% 4.68/1.07 tff(f15324,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2587,f14771])).
% 4.68/1.07 tff(f15323,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2513,f14771])).
% 4.68/1.07 tff(f15322,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f347,f14771])).
% 4.68/1.07 tff(f15321,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1773,f14771])).
% 4.68/1.07 tff(f15320,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1781,f14771])).
% 4.68/1.07 tff(f15319,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1783,f14771])).
% 4.68/1.07 tff(f15318,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1785,f14771])).
% 4.68/1.07 tff(f15317,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),fun(arrow_411405190le_alt,arrow_411405190le_alt))),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | list_rec(arrow_411405190le_alt,X0,X1,X2,nil(X0)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f428,f14771])).
% 4.68/1.07 tff(f15316,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0),X5 : arrow_411405190le_alt] : (a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) | list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4)) = X5 | a = X5) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15315,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | list_case(arrow_411405190le_alt,X0,X1,X2,nil(X0)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f427,f14771])).
% 4.68/1.07 tff(f15314,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4831,f14771])).
% 4.68/1.07 tff(f15313,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4312,f14771])).
% 4.68/1.07 tff(f15413,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X0 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15312,f4395])).
% 4.68/1.07 tff(f15312,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4431,f14771])).
% 4.68/1.07 tff(f15311,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4430,f14771])).
% 4.68/1.07 tff(f15310,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4434,f14771])).
% 4.68/1.07 tff(f15309,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4435,f14771])).
% 4.68/1.07 tff(f15308,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5787,f14771])).
% 4.68/1.07 tff(f15307,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f5501,f14771])).
% 4.68/1.07 tff(f15306,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5581,f14771])).
% 4.68/1.07 tff(f15305,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f344,f14771])).
% 4.68/1.07 tff(f15304,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f5585,f14771])).
% 4.68/1.07 tff(f15303,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f5586,f14771])).
% 4.68/1.07 tff(f15302,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1235,f14771])).
% 4.68/1.07 tff(f15301,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4751,f14771])).
% 4.68/1.07 tff(f15300,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5759,f14771])).
% 4.68/1.07 tff(f15412,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X0 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15299,f335])).
% 4.68/1.07 tff(f15299,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f498,f14771])).
% 4.68/1.07 tff(f15298,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X2 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f3074,f14771])).
% 4.68/1.07 tff(f15297,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2379,f14771])).
% 4.68/1.07 tff(f15296,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f381,f14771])).
% 4.68/1.07 tff(f15295,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7273,f14771])).
% 4.68/1.07 tff(f15294,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f566,f14771])).
% 4.68/1.07 tff(f15293,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4317,f14771])).
% 4.68/1.07 tff(f15292,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5506,f14771])).
% 4.68/1.07 tff(f15291,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X2 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2374,f14771])).
% 4.68/1.07 tff(f15411,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0))) = X2 | a = X1 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15290,f2238])).
% 4.68/1.07 tff(f15290,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f584,f14771])).
% 4.68/1.07 tff(f15410,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X2,X1)))) = X3 | a = X2 | a = X3) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15289,f2238])).
% 4.68/1.07 tff(f15289,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = X2 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2081,f14771])).
% 4.68/1.07 tff(f15288,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f385,f14771])).
% 4.68/1.07 tff(f15287,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7166,f14771])).
% 4.68/1.07 tff(f15286,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f6354,f14771])).
% 4.68/1.07 tff(f15285,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4375,f14771])).
% 4.68/1.07 tff(f15284,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4381,f14771])).
% 4.68/1.07 tff(f15283,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f343,f14771])).
% 4.68/1.07 tff(f15282,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1304,f14771])).
% 4.68/1.07 tff(f15281,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f372,f14771])).
% 4.68/1.07 tff(f15280,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | hd(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f571,f14771])).
% 4.68/1.07 tff(f15409,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X0 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15279,f2164])).
% 4.68/1.07 tff(f15279,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2210,f14771])).
% 4.68/1.07 tff(f15278,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2135,f14771])).
% 4.68/1.07 tff(f15277,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f387,f14771])).
% 4.68/1.07 tff(f15276,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2212,f14771])).
% 4.68/1.07 tff(f15275,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2213,f14771])).
% 4.68/1.07 tff(f15274,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1813,f14771])).
% 4.68/1.07 tff(f15273,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15272,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f15271,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK19 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15270,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f15269,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK19 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f15268,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f15267,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | sK18 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15266,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | sK18 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f15265,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK18 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f15264,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | sK18 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f15263,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | sK17 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15262,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | sK17 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f15261,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK17 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15252,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | b = X1 | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f14745,f14771])).
% 4.68/1.07 tff(f15251,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f1032,f14771])).
% 4.68/1.07 tff(f15250,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f1027,f14771])).
% 4.68/1.07 tff(f15249,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f575,f14771])).
% 4.68/1.07 tff(f15408,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15248,f335])).
% 4.68/1.07 tff(f15248,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f318,f14771])).
% 4.68/1.07 tff(f15247,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt,X5 : arrow_411405190le_alt] : (a = list_case(arrow_411405190le_alt,X0,X4,X1,cons(X0,X2,X3)) | aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3) = X5 | a = X5) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15246,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4997,f14771])).
% 4.68/1.07 tff(f15245,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4387,f14771])).
% 4.68/1.07 tff(f15244,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK7(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2976,f14771])).
% 4.68/1.07 tff(f15243,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | sK7(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2973,f14771])).
% 4.68/1.07 tff(f15242,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f3013,f14771])).
% 4.68/1.07 tff(f15241,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f3014,f14771])).
% 4.68/1.07 tff(f15240,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2983,f14771])).
% 4.68/1.07 tff(f15239,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f351,f14771])).
% 4.68/1.07 tff(f15238,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1919,f14771])).
% 4.68/1.07 tff(f15237,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1927,f14771])).
% 4.68/1.07 tff(f15236,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2514,f14771])).
% 4.68/1.07 tff(f15235,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14771])).
% 4.68/1.07 tff(f15234,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK7(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14771])).
% 4.68/1.07 tff(f15233,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7415,f14771])).
% 4.68/1.07 tff(f15232,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7310,f14771])).
% 4.68/1.07 tff(f15231,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7334,f14771])).
% 4.68/1.07 tff(f15230,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7338,f14771])).
% 4.68/1.07 tff(f15229,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7339,f14771])).
% 4.68/1.07 tff(f15228,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7447,f14771])).
% 4.68/1.07 tff(f15227,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7313,f14771])).
% 4.68/1.07 tff(f15226,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7357,f14771])).
% 4.68/1.07 tff(f15225,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7361,f14771])).
% 4.68/1.07 tff(f15224,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7362,f14771])).
% 4.68/1.07 tff(f15223,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f13453,f14771])).
% 4.68/1.07 tff(f15222,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7312,f14771])).
% 4.68/1.07 tff(f15221,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | sK6(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7301,f14771])).
% 4.68/1.07 tff(f15220,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f13326,f14771])).
% 4.68/1.07 tff(f15219,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f6509,f14771])).
% 4.68/1.07 tff(f15218,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK6(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7161,f14771])).
% 4.68/1.07 tff(f15217,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4968,f14771])).
% 4.68/1.07 tff(f15216,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4385,f14771])).
% 4.68/1.07 tff(f15215,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK3(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2506,f14771])).
% 4.68/1.07 tff(f15214,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | sK3(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2503,f14771])).
% 4.68/1.07 tff(f15213,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2586,f14771])).
% 4.68/1.07 tff(f15212,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2587,f14771])).
% 4.68/1.07 tff(f15211,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2513,f14771])).
% 4.68/1.07 tff(f15210,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f347,f14771])).
% 4.68/1.07 tff(f15209,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1773,f14771])).
% 4.68/1.07 tff(f15208,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1781,f14771])).
% 4.68/1.07 tff(f15207,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1783,f14771])).
% 4.68/1.07 tff(f15206,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),a) | nil(arrow_411405190le_alt) = X0 | sK3(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1785,f14771])).
% 4.68/1.07 tff(f15205,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),fun(arrow_411405190le_alt,arrow_411405190le_alt))),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | list_rec(arrow_411405190le_alt,X0,X1,X2,nil(X0)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f428,f14771])).
% 4.68/1.07 tff(f15204,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0),X5 : arrow_411405190le_alt] : (a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) | list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4)) = X5 | a = X5) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15203,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | list_case(arrow_411405190le_alt,X0,X1,X2,nil(X0)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f427,f14771])).
% 4.68/1.07 tff(f15202,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4831,f14771])).
% 4.68/1.07 tff(f15201,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4312,f14771])).
% 4.68/1.07 tff(f15407,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X0 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15200,f4395])).
% 4.68/1.07 tff(f15200,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4431,f14771])).
% 4.68/1.07 tff(f15199,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4430,f14771])).
% 4.68/1.07 tff(f15198,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4434,f14771])).
% 4.68/1.07 tff(f15197,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4435,f14771])).
% 4.68/1.07 tff(f15196,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5787,f14771])).
% 4.68/1.07 tff(f15195,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f5501,f14771])).
% 4.68/1.07 tff(f15194,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5581,f14771])).
% 4.68/1.07 tff(f15193,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f344,f14771])).
% 4.68/1.07 tff(f15192,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f5585,f14771])).
% 4.68/1.07 tff(f15191,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f5586,f14771])).
% 4.68/1.07 tff(f15190,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1235,f14771])).
% 4.68/1.07 tff(f15189,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4751,f14771])).
% 4.68/1.07 tff(f15188,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5759,f14771])).
% 4.68/1.07 tff(f15406,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X0 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15187,f335])).
% 4.68/1.07 tff(f15187,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f498,f14771])).
% 4.68/1.07 tff(f15186,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X2 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f3074,f14771])).
% 4.68/1.07 tff(f15185,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2379,f14771])).
% 4.68/1.07 tff(f15184,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f381,f14771])).
% 4.68/1.07 tff(f15183,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7273,f14771])).
% 4.68/1.07 tff(f15182,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f566,f14771])).
% 4.68/1.07 tff(f15181,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4317,f14771])).
% 4.68/1.07 tff(f15180,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5506,f14771])).
% 4.68/1.07 tff(f15179,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X2 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2374,f14771])).
% 4.68/1.07 tff(f15405,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0))) = X2 | a = X1 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15178,f2238])).
% 4.68/1.07 tff(f15178,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f584,f14771])).
% 4.68/1.07 tff(f15404,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X2,X1)))) = X3 | a = X2 | a = X3) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15177,f2238])).
% 4.68/1.07 tff(f15177,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = X2 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2081,f14771])).
% 4.68/1.07 tff(f15176,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f385,f14771])).
% 4.68/1.07 tff(f15175,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7166,f14771])).
% 4.68/1.07 tff(f15174,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | last(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f6354,f14771])).
% 4.68/1.07 tff(f15173,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4375,f14771])).
% 4.68/1.07 tff(f15172,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X1 | hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4381,f14771])).
% 4.68/1.07 tff(f15171,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f343,f14771])).
% 4.68/1.07 tff(f15170,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1304,f14771])).
% 4.68/1.07 tff(f15169,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f372,f14771])).
% 4.68/1.07 tff(f15168,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = X0 | hd(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f571,f14771])).
% 4.68/1.07 tff(f15403,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) = X2 | a = X0 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15167,f2164])).
% 4.68/1.07 tff(f15167,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2210,f14771])).
% 4.68/1.07 tff(f15166,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2135,f14771])).
% 4.68/1.07 tff(f15165,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f387,f14771])).
% 4.68/1.07 tff(f15164,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2212,f14771])).
% 4.68/1.07 tff(f15163,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2213,f14771])).
% 4.68/1.07 tff(f15162,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | nil(arrow_411405190le_alt) = X0 | hd(arrow_411405190le_alt,X0) = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1813,f14771])).
% 4.68/1.07 tff(f15161,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15160,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f15159,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK19 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15158,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f15157,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK19 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f15156,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))) | sK19 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f15155,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | sK18 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15154,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | sK18 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f15153,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK18 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f15152,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | sK18 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f15151,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | sK17 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15150,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | sK17 = X0 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f15149,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | sK17 = X1 | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15140,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | b = X1 | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f14745,f14771])).
% 4.68/1.07 tff(f15139,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f1032,f14771])).
% 4.68/1.07 tff(f15138,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f1027,f14771])).
% 4.68/1.07 tff(f15137,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f575,f14771])).
% 4.68/1.07 tff(f15402,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15136,f335])).
% 4.68/1.07 tff(f15136,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f318,f14771])).
% 4.68/1.07 tff(f15135,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt,X5 : arrow_411405190le_alt] : (list_case(arrow_411405190le_alt,X0,X5,X1,cons(X0,X2,X3)) = X4 | a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3) | a = X4) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15134,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4997,f14771])).
% 4.68/1.07 tff(f15133,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4387,f14771])).
% 4.68/1.07 tff(f15132,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = sK7(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2976,f14771])).
% 4.68/1.07 tff(f15131,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = sK7(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2973,f14771])).
% 4.68/1.07 tff(f15130,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK3(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f3013,f14771])).
% 4.68/1.07 tff(f15129,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK7(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f3014,f14771])).
% 4.68/1.07 tff(f15128,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2983,f14771])).
% 4.68/1.07 tff(f15127,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X1,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f351,f14771])).
% 4.68/1.07 tff(f15126,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1919,f14771])).
% 4.68/1.07 tff(f15125,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1927,f14771])).
% 4.68/1.07 tff(f15124,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2514,f14771])).
% 4.68/1.07 tff(f15123,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14771])).
% 4.68/1.07 tff(f15122,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14771])).
% 4.68/1.07 tff(f15121,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7415,f14771])).
% 4.68/1.07 tff(f15120,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7310,f14771])).
% 4.68/1.07 tff(f15119,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7334,f14771])).
% 4.68/1.07 tff(f15118,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7338,f14771])).
% 4.68/1.07 tff(f15117,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7339,f14771])).
% 4.68/1.07 tff(f15116,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7447,f14771])).
% 4.68/1.07 tff(f15115,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7313,f14771])).
% 4.68/1.07 tff(f15114,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f7357,f14771])).
% 4.68/1.07 tff(f15113,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7361,f14771])).
% 4.68/1.07 tff(f15112,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7362,f14771])).
% 4.68/1.07 tff(f15111,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f13453,f14771])).
% 4.68/1.07 tff(f15110,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7312,f14771])).
% 4.68/1.07 tff(f15109,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = sK6(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7301,f14771])).
% 4.68/1.07 tff(f15108,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X3 | a = sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f13326,f14771])).
% 4.68/1.07 tff(f15107,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f6509,f14771])).
% 4.68/1.07 tff(f15106,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f7161,f14771])).
% 4.68/1.07 tff(f15105,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4968,f14771])).
% 4.68/1.07 tff(f15104,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4385,f14771])).
% 4.68/1.07 tff(f15103,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = sK3(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2506,f14771])).
% 4.68/1.07 tff(f15102,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = sK3(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f2503,f14771])).
% 4.68/1.07 tff(f15101,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK3(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2586,f14771])).
% 4.68/1.07 tff(f15100,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK7(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2587,f14771])).
% 4.68/1.07 tff(f15099,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2513,f14771])).
% 4.68/1.07 tff(f15098,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X1,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f347,f14771])).
% 4.68/1.07 tff(f15097,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1773,f14771])).
% 4.68/1.07 tff(f15096,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1781,f14771])).
% 4.68/1.07 tff(f15095,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1783,f14771])).
% 4.68/1.07 tff(f15094,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1785,f14771])).
% 4.68/1.07 tff(f15093,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),fun(arrow_411405190le_alt,arrow_411405190le_alt))),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = list_rec(arrow_411405190le_alt,X0,X1,X2,nil(X0)) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f428,f14771])).
% 4.68/1.07 tff(f15092,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0),X5 : arrow_411405190le_alt] : (aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) = X5 | a = list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4)) | a = X5) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15091,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = list_case(arrow_411405190le_alt,X0,X1,X2,nil(X0)) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f427,f14771])).
% 4.68/1.07 tff(f15090,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4831,f14771])).
% 4.68/1.07 tff(f15089,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4312,f14771])).
% 4.68/1.07 tff(f15401,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | X0 = X1 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15088,f4395])).
% 4.68/1.07 tff(f15088,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4431,f14771])).
% 4.68/1.07 tff(f15087,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4430,f14771])).
% 4.68/1.07 tff(f15086,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4434,f14771])).
% 4.68/1.07 tff(f15085,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f4435,f14771])).
% 4.68/1.07 tff(f15084,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5787,f14771])).
% 4.68/1.07 tff(f15083,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f5501,f14771])).
% 4.68/1.07 tff(f15082,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5581,f14771])).
% 4.68/1.07 tff(f15081,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f344,f14771])).
% 4.68/1.07 tff(f15080,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f5585,f14771])).
% 4.68/1.07 tff(f15079,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f5586,f14771])).
% 4.68/1.07 tff(f15078,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1235,f14771])).
% 4.68/1.07 tff(f15077,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4751,f14771])).
% 4.68/1.07 tff(f15076,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5759,f14771])).
% 4.68/1.07 tff(f15400,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | X0 = X1 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15075,f335])).
% 4.68/1.07 tff(f15075,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f498,f14771])).
% 4.68/1.07 tff(f15074,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X2 = X3 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f3074,f14771])).
% 4.68/1.07 tff(f15073,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2379,f14771])).
% 4.68/1.07 tff(f15072,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (last(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f381,f14771])).
% 4.68/1.07 tff(f15071,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK6(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7273,f14771])).
% 4.68/1.07 tff(f15070,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f566,f14771])).
% 4.68/1.07 tff(f15069,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4317,f14771])).
% 4.68/1.07 tff(f15068,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f5506,f14771])).
% 4.68/1.07 tff(f15067,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X2 = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2374,f14771])).
% 4.68/1.07 tff(f15399,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0))) | X1 = X2 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15066,f2238])).
% 4.68/1.07 tff(f15066,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f584,f14771])).
% 4.68/1.07 tff(f15398,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X2,X1)))) | X2 = X3 | a = X3) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15065,f2238])).
% 4.68/1.07 tff(f15065,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (X2 = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2081,f14771])).
% 4.68/1.07 tff(f15064,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (last(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f385,f14771])).
% 4.68/1.07 tff(f15063,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK6(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f7166,f14771])).
% 4.68/1.07 tff(f15062,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f6354,f14771])).
% 4.68/1.07 tff(f15061,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f4375,f14771])).
% 4.68/1.07 tff(f15060,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f4381,f14771])).
% 4.68/1.07 tff(f15059,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f343,f14771])).
% 4.68/1.07 tff(f15058,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1304,f14771])).
% 4.68/1.07 tff(f15057,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f372,f14771])).
% 4.68/1.07 tff(f15056,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = hd(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f571,f14771])).
% 4.68/1.07 tff(f15397,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15055,f2164])).
% 4.68/1.07 tff(f15055,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2210,f14771])).
% 4.68/1.07 tff(f15054,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)) | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f2135,f14771])).
% 4.68/1.07 tff(f15053,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (hd(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f387,f14771])).
% 4.68/1.07 tff(f15052,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK3(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2212,f14771])).
% 4.68/1.07 tff(f15051,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK7(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1)) | a = X2) )),
% 4.68/1.07 inference(superposition,[],[f2213,f14771])).
% 4.68/1.07 tff(f15050,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0)) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,X0) | a = X1) )),
% 4.68/1.07 inference(superposition,[],[f1813,f14771])).
% 4.68/1.07 tff(f15049,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) | a = sK19 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15048,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = sK19 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f15047,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = sK19 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15046,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = sK19 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f15045,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = sK19 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f15044,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) | a = sK19 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f15043,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK18 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15042,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = sK18 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f15041,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = sK18 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f15040,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK18 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f15039,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK17 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f15038,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = sK17 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f15037,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = sK17 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15396,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15035,f319])).
% 4.68/1.07 tff(f15035,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = b | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f14706,f14771])).
% 4.68/1.07 tff(f15395,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15034,f319])).
% 4.68/1.07 tff(f15034,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | a = b | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1032,f14771])).
% 4.68/1.07 tff(f15394,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15033,f319])).
% 4.68/1.07 tff(f15033,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | a = b | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1029,f14771])).
% 4.68/1.07 tff(f15393,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15032,f319])).
% 4.68/1.07 tff(f15032,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | a = b | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f1027,f14771])).
% 4.68/1.07 tff(f15392,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15031,f319])).
% 4.68/1.07 tff(f15031,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = b | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f575,f14771])).
% 4.68/1.07 tff(f15391,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15390,f335])).
% 4.68/1.07 tff(f15390,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f15029,f319])).
% 4.68/1.07 tff(f15029,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = b | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f318,f14771])).
% 4.68/1.07 tff(f15023,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt,X5 : arrow_411405190le_alt] : (list_case(arrow_411405190le_alt,X0,X5,X1,cons(X0,X2,X3)) = X4 | a = X4 | a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3)) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f15022,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = X2 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f4997,f14771])).
% 4.68/1.07 tff(f15021,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4387,f14771])).
% 4.68/1.07 tff(f15020,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = sK7(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2976,f14771])).
% 4.68/1.07 tff(f15019,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = sK7(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.07 inference(superposition,[],[f2973,f14771])).
% 4.68/1.07 tff(f15018,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK3(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f3013,f14771])).
% 4.68/1.07 tff(f15017,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK7(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f3014,f14771])).
% 4.68/1.07 tff(f15016,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) )),
% 4.68/1.07 inference(superposition,[],[f2983,f14771])).
% 4.68/1.07 tff(f15015,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X1,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f351,f14771])).
% 4.68/1.07 tff(f15014,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1919,f14771])).
% 4.68/1.07 tff(f15013,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0)) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1927,f14771])).
% 4.68/1.07 tff(f15012,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f2514,f14771])).
% 4.68/1.07 tff(f15011,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14771])).
% 4.68/1.07 tff(f15010,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14771])).
% 4.68/1.07 tff(f15009,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.07 inference(superposition,[],[f7415,f14771])).
% 4.68/1.07 tff(f15008,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.07 inference(superposition,[],[f7310,f14771])).
% 4.68/1.07 tff(f15007,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.07 inference(superposition,[],[f7334,f14771])).
% 4.68/1.07 tff(f15006,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7338,f14771])).
% 4.68/1.07 tff(f15005,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7339,f14771])).
% 4.68/1.07 tff(f15004,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.07 inference(superposition,[],[f7447,f14771])).
% 4.68/1.07 tff(f15003,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.07 inference(superposition,[],[f7313,f14771])).
% 4.68/1.07 tff(f15002,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.07 inference(superposition,[],[f7357,f14771])).
% 4.68/1.07 tff(f15001,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7361,f14771])).
% 4.68/1.07 tff(f15000,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7362,f14771])).
% 4.68/1.07 tff(f14999,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f13453,f14771])).
% 4.68/1.07 tff(f14998,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = X2 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) )),
% 4.68/1.07 inference(superposition,[],[f7312,f14771])).
% 4.68/1.07 tff(f14997,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = sK6(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.07 inference(superposition,[],[f7301,f14771])).
% 4.68/1.07 tff(f14996,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f13326,f14771])).
% 4.68/1.07 tff(f14995,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK6(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f6509,f14771])).
% 4.68/1.07 tff(f14994,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK6(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f7161,f14771])).
% 4.68/1.07 tff(f14993,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = X2 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f4968,f14771])).
% 4.68/1.07 tff(f14992,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4385,f14771])).
% 4.68/1.07 tff(f14991,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = sK3(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2506,f14771])).
% 4.68/1.07 tff(f14990,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = sK3(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.07 inference(superposition,[],[f2503,f14771])).
% 4.68/1.07 tff(f14989,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK3(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2586,f14771])).
% 4.68/1.07 tff(f14988,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK7(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2587,f14771])).
% 4.68/1.07 tff(f14987,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) )),
% 4.68/1.07 inference(superposition,[],[f2513,f14771])).
% 4.68/1.07 tff(f14986,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X1,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f347,f14771])).
% 4.68/1.07 tff(f14985,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1773,f14771])).
% 4.68/1.07 tff(f14984,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0)) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1781,f14771])).
% 4.68/1.07 tff(f14983,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1783,f14771])).
% 4.68/1.07 tff(f14982,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),X1) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1785,f14771])).
% 4.68/1.07 tff(f14981,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),fun(arrow_411405190le_alt,arrow_411405190le_alt))),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = list_rec(arrow_411405190le_alt,X0,X1,X2,nil(X0))) )),
% 4.68/1.07 inference(superposition,[],[f428,f14771])).
% 4.68/1.07 tff(f14980,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0),X5 : arrow_411405190le_alt] : (aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) = X5 | a = X5 | a = list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4))) )),
% 4.68/1.07 inference(superposition,[],[f487,f14771])).
% 4.68/1.07 tff(f14979,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = list_case(arrow_411405190le_alt,X0,X1,X2,nil(X0))) )),
% 4.68/1.07 inference(superposition,[],[f427,f14771])).
% 4.68/1.07 tff(f14978,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.07 inference(superposition,[],[f4831,f14771])).
% 4.68/1.07 tff(f14977,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.07 inference(superposition,[],[f4312,f14771])).
% 4.68/1.07 tff(f15389,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | X0 = X1 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f14976,f4395])).
% 4.68/1.07 tff(f14976,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) )),
% 4.68/1.07 inference(superposition,[],[f4431,f14771])).
% 4.68/1.07 tff(f14975,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.07 inference(superposition,[],[f4430,f14771])).
% 4.68/1.07 tff(f14974,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f4434,f14771])).
% 4.68/1.07 tff(f14973,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f4435,f14771])).
% 4.68/1.07 tff(f14972,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.07 inference(superposition,[],[f5787,f14771])).
% 4.68/1.07 tff(f14971,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.07 inference(superposition,[],[f5501,f14771])).
% 4.68/1.07 tff(f14970,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.07 inference(superposition,[],[f5581,f14771])).
% 4.68/1.07 tff(f14969,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f344,f14771])).
% 4.68/1.07 tff(f14968,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK3(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f5585,f14771])).
% 4.68/1.07 tff(f14967,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (sK7(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f5586,f14771])).
% 4.68/1.07 tff(f14966,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (hd(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f1235,f14771])).
% 4.68/1.07 tff(f14965,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4751,f14771])).
% 4.68/1.07 tff(f14964,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f5759,f14771])).
% 4.68/1.07 tff(f15388,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | X0 = X1 | a = X1) )),
% 4.68/1.07 inference(forward_demodulation,[],[f14963,f335])).
% 4.68/1.07 tff(f14963,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.07 inference(superposition,[],[f498,f14771])).
% 4.68/1.07 tff(f14962,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X2 = X3 | a = X3 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f3074,f14771])).
% 4.68/1.07 tff(f14961,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) )),
% 4.68/1.07 inference(superposition,[],[f2379,f14771])).
% 4.68/1.07 tff(f14960,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (last(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f381,f14771])).
% 4.68/1.07 tff(f14959,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (sK6(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f7273,f14771])).
% 4.68/1.07 tff(f14958,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.07 inference(superposition,[],[f566,f14771])).
% 4.68/1.07 tff(f14957,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4317,f14771])).
% 4.68/1.07 tff(f14956,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f5506,f14771])).
% 4.68/1.07 tff(f14955,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X2 = X3 | a = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f2374,f14771])).
% 4.68/1.07 tff(f15387,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0))) | X1 = X2 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f14954,f2238])).
% 4.68/1.07 tff(f14954,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (X1 = X2 | a = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) )),
% 4.68/1.07 inference(superposition,[],[f584,f14771])).
% 4.68/1.07 tff(f15386,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X2,X1)))) | X2 = X3 | a = X3) )),
% 4.68/1.07 inference(forward_demodulation,[],[f14953,f2238])).
% 4.68/1.07 tff(f14953,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (X2 = X3 | a = X3 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f2081,f14771])).
% 4.68/1.07 tff(f14952,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (last(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f385,f14771])).
% 4.68/1.07 tff(f14951,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK6(arrow_411405190le_alt,X1) = X2 | nil(arrow_411405190le_alt) = X1 | a = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f7166,f14771])).
% 4.68/1.07 tff(f14950,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = last(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f6354,f14771])).
% 4.68/1.07 tff(f14949,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X2 | a = X2 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f4375,f14771])).
% 4.68/1.07 tff(f14948,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X1 = X3 | a = X3 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4381,f14771])).
% 4.68/1.07 tff(f14947,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = X0 | a = X1 | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f343,f14771])).
% 4.68/1.07 tff(f14946,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (last(arrow_411405190le_alt,X0) = X1 | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = X1 | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f1304,f14771])).
% 4.68/1.07 tff(f14945,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f372,f14771])).
% 4.68/1.07 tff(f14944,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = hd(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.07 inference(superposition,[],[f571,f14771])).
% 4.68/1.07 tff(f15385,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | X0 = X2 | a = X2) )),
% 4.68/1.07 inference(forward_demodulation,[],[f14943,f2164])).
% 4.68/1.07 tff(f14943,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X2 | a = X2 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),X1))) )),
% 4.68/1.07 inference(superposition,[],[f2210,f14771])).
% 4.68/1.07 tff(f14942,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X0 = X3 | a = X3 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) )),
% 4.68/1.07 inference(superposition,[],[f2135,f14771])).
% 4.68/1.07 tff(f14941,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (hd(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f387,f14771])).
% 4.68/1.07 tff(f14940,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK3(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2212,f14771])).
% 4.68/1.07 tff(f14939,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (sK7(arrow_411405190le_alt,X0) = X2 | nil(arrow_411405190le_alt) = X0 | a = X2 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2213,f14771])).
% 4.68/1.07 tff(f14938,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0)) | nil(arrow_411405190le_alt) = X0 | a = X1 | a = hd(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1813,f14771])).
% 4.68/1.07 tff(f14937,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) | a = X0 | a = sK19) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f14936,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X0 | a = sK19) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f14935,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = X0 | a = sK19) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f14934,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X0 | a = sK19) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f14933,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = X0 | a = sK19) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f14932,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) | a = X0 | a = sK19) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f14931,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = X0 | a = sK18) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f14930,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0 | a = sK18) )),
% 4.68/1.07 inference(superposition,[],[f1591,f14771])).
% 4.68/1.07 tff(f14929,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = X0 | a = sK18) )),
% 4.68/1.07 inference(superposition,[],[f1602,f14771])).
% 4.68/1.07 tff(f14928,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = X0 | a = sK18) )),
% 4.68/1.07 inference(superposition,[],[f5678,f14771])).
% 4.68/1.07 tff(f14927,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = X0 | a = sK17) )),
% 4.68/1.07 inference(superposition,[],[f1154,f14771])).
% 4.68/1.07 tff(f14926,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0 | a = sK17) )),
% 4.68/1.07 inference(superposition,[],[f1574,f14771])).
% 4.68/1.07 tff(f14925,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X1 | distinct(arrow_411405190le_alt,X1) | a = X0 | a = sK17) )),
% 4.68/1.07 inference(superposition,[],[f1585,f14771])).
% 4.68/1.07 tff(f15384,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14923,f319])).
% 4.68/1.07 tff(f14923,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X0 | a = b) )),
% 4.68/1.07 inference(superposition,[],[f14706,f14771])).
% 4.68/1.07 tff(f15383,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14922,f319])).
% 4.68/1.07 tff(f14922,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | a = X0 | a = b) )),
% 4.68/1.07 inference(superposition,[],[f1032,f14771])).
% 4.68/1.07 tff(f15382,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14921,f319])).
% 4.68/1.07 tff(f14921,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | a = X0 | a = b) )),
% 4.68/1.07 inference(superposition,[],[f1029,f14771])).
% 4.68/1.07 tff(f15381,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14920,f319])).
% 4.68/1.07 tff(f14920,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | a = X0 | a = b) )),
% 4.68/1.07 inference(superposition,[],[f1027,f14771])).
% 4.68/1.07 tff(f15380,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14919,f319])).
% 4.68/1.07 tff(f14919,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0 | a = b) )),
% 4.68/1.07 inference(superposition,[],[f575,f14771])).
% 4.68/1.07 tff(f15379,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.07 inference(forward_demodulation,[],[f15378,f335])).
% 4.68/1.07 tff(f15378,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14917,f319])).
% 4.68/1.07 tff(f14917,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0 | a = b) )),
% 4.68/1.07 inference(superposition,[],[f318,f14771])).
% 4.68/1.07 tff(f14909,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | X1 = X2 | a = X2 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f14771,f14771])).
% 4.68/1.07 tff(f14908,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | X1 = X2 | a = X2 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f14771,f14771])).
% 4.68/1.07 tff(f14905,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | X1 = X2 | a = X2 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f14771,f14771])).
% 4.68/1.07 tff(f14904,plain,(
% 4.68/1.07 ( ! [X2 : arrow_411405190le_alt,X3 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | X1 = X2 | a = X2 | X0 = X3 | a = X3) )),
% 4.68/1.07 inference(superposition,[],[f14771,f14771])).
% 4.68/1.07 tff(f14771,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (X0 = X1 | a = X1 | a = X0) )),
% 4.68/1.07 inference(superposition,[],[f14758,f14758])).
% 4.68/1.07 tff(f14903,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f476,f474,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2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% 4.68/1.07 tff(f14902,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = X3 | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(forward_demodulation,[],[f14893,f430])).
% 4.68/1.07 tff(f14893,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,append(X0,X2,X3)) = X3 | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(resolution,[],[f466,f534])).
% 4.68/1.07 tff(f14892,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = dropWhile(X0,X3,X2) | cons(X0,X1,takeWhile(X0,X3,X2)) = cons(X0,X1,sK15(X0,X2,dropWhile(X0,X3,X2),cons(X0,X1,takeWhile(X0,X3,X2)),X1))) )),
% 4.68/1.07 inference(resolution,[],[f466,f1097])).
% 4.68/1.07 tff(f14901,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,sK15(X0,X2,nil(X0),X3,X1)) = X3 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14891,f370])).
% 4.68/1.07 tff(f14891,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,sK15(X0,X2,nil(X0),X3,X1)) = X3 | cons(X0,X1,X2) != X3) )),
% 4.68/1.07 inference(resolution,[],[f466,f1009])).
% 4.68/1.07 tff(f14900,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14890,f3138])).
% 4.68/1.07 tff(f14890,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X3 | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f466,f2717])).
% 4.68/1.07 tff(f14899,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X3) = cons(X0,X1,sK15(X0,X2,X2,cons(X0,X1,X3),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14888,f368])).
% 4.68/1.07 tff(f14888,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | cons(X0,X1,X3) = cons(X0,X1,sK15(X0,X2,X2,cons(X0,X1,X3),X1)) | nil(X0) != X3) )),
% 4.68/1.07 inference(resolution,[],[f466,f2649])).
% 4.68/1.07 tff(f14898,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14887,f368])).
% 4.68/1.07 tff(f14887,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = X2 | insert(X0,X1,nil(X0)) = cons(X0,X1,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 4.68/1.07 inference(resolution,[],[f466,f619])).
% 4.68/1.07 tff(f14897,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(subsumption_resolution,[],[f14886,f370])).
% 4.68/1.07 tff(f14886,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 4.68/1.07 inference(resolution,[],[f466,f616])).
% 4.68/1.07 tff(f466,plain,(
% 4.68/1.07 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP1(X2,X0,X1,X3,X4) | cons(X2,X4,X0) = X1 | cons(X2,X4,sK15(X2,X0,X1,X3,X4)) = X3) )),
% 4.68/1.07 inference(cnf_transformation,[],[f304])).
% 4.68/1.07 tff(f14877,plain,(
% 4.68/1.07 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X4 : arrow_411405190le_alt] : (b = list_case(arrow_411405190le_alt,X0,X4,X1,cons(X0,X2,X3)) | a = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X1,X2),X3)) )),
% 4.68/1.07 inference(superposition,[],[f487,f14758])).
% 4.68/1.07 tff(f14876,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f4997,f14758])).
% 4.68/1.07 tff(f14875,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK7(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4387,f14758])).
% 4.68/1.07 tff(f14872,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f3013,f14758])).
% 4.68/1.07 tff(f14871,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f3014,f14758])).
% 4.68/1.07 tff(f14870,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK7(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) )),
% 4.68/1.07 inference(superposition,[],[f2983,f14758])).
% 4.68/1.07 tff(f14869,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,sK8(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f351,f14758])).
% 4.68/1.07 tff(f14868,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1919,f14758])).
% 4.68/1.07 tff(f14867,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1927,f14758])).
% 4.68/1.07 tff(f14866,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f2514,f14758])).
% 4.68/1.07 tff(f14865,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1929,f14758])).
% 4.68/1.07 tff(f14864,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK8(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK7(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f1931,f14758])).
% 4.68/1.07 tff(f14863,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.07 inference(superposition,[],[f7415,f14758])).
% 4.68/1.07 tff(f14862,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.07 inference(superposition,[],[f7310,f14758])).
% 4.68/1.07 tff(f14861,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.07 inference(superposition,[],[f7334,f14758])).
% 4.68/1.07 tff(f14860,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7338,f14758])).
% 4.68/1.07 tff(f14859,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7339,f14758])).
% 4.68/1.07 tff(f14858,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.07 inference(superposition,[],[f7447,f14758])).
% 4.68/1.07 tff(f14857,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.07 inference(superposition,[],[f7313,f14758])).
% 4.68/1.07 tff(f14856,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.07 inference(superposition,[],[f7357,f14758])).
% 4.68/1.07 tff(f14855,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7361,f14758])).
% 4.68/1.07 tff(f14854,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.07 inference(superposition,[],[f7362,f14758])).
% 4.68/1.07 tff(f14853,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f13453,f14758])).
% 4.68/1.07 tff(f14852,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) )),
% 4.68/1.07 inference(superposition,[],[f7312,f14758])).
% 4.68/1.07 tff(f14850,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = sK6(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f13326,f14758])).
% 4.68/1.07 tff(f14849,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (append(arrow_411405190le_alt,sK5(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f6509,f14758])).
% 4.68/1.07 tff(f14848,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK6(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f7161,f14758])).
% 4.68/1.07 tff(f14847,plain,(
% 4.68/1.07 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.07 inference(superposition,[],[f4968,f14758])).
% 4.68/1.07 tff(f14846,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = sK3(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.07 inference(superposition,[],[f4385,f14758])).
% 4.68/1.07 tff(f14843,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2586,f14758])).
% 4.68/1.07 tff(f14842,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.07 inference(superposition,[],[f2587,f14758])).
% 4.68/1.07 tff(f14841,plain,(
% 4.68/1.07 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = sK3(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) )),
% 4.68/1.07 inference(superposition,[],[f2513,f14758])).
% 4.68/1.07 tff(f14840,plain,(
% 4.68/1.07 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,sK4(arrow_411405190le_alt,X0)) = X0 | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.07 inference(superposition,[],[f347,f14758])).
% 4.68/1.08 tff(f14839,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.08 inference(superposition,[],[f1773,f14758])).
% 4.68/1.08 tff(f14838,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.08 inference(superposition,[],[f1781,f14758])).
% 4.68/1.08 tff(f14837,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (sP1(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f14758])).
% 4.68/1.08 tff(f14836,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (sP2(arrow_411405190le_alt,sK4(arrow_411405190le_alt,X0),X0,nil(arrow_411405190le_alt),b) | nil(arrow_411405190le_alt) = X0 | a = sK3(arrow_411405190le_alt,X0)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f14758])).
% 4.68/1.08 tff(f14834,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,fun(list(X0),arrow_411405190le_alt)),X3 : X0,X1 : arrow_411405190le_alt,X4 : list(X0)] : (b = aa(list(X0),arrow_411405190le_alt,aa(X0,fun(list(X0),arrow_411405190le_alt),X2,X3),X4) | a = list_case(arrow_411405190le_alt,X0,X1,X2,cons(X0,X3,X4))) )),
% 4.68/1.08 inference(superposition,[],[f487,f14758])).
% 4.68/1.08 tff(f14832,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.08 inference(superposition,[],[f4831,f14758])).
% 4.68/1.08 tff(f14831,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.08 inference(superposition,[],[f4312,f14758])).
% 4.68/1.08 tff(f14884,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14830,f4395])).
% 4.68/1.08 tff(f14830,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (b = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(superposition,[],[f4431,f14758])).
% 4.68/1.08 tff(f14829,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.08 inference(superposition,[],[f4430,f14758])).
% 4.68/1.08 tff(f14828,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f4434,f14758])).
% 4.68/1.08 tff(f14827,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f4435,f14758])).
% 4.68/1.08 tff(f14826,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2)))))) )),
% 4.68/1.08 inference(superposition,[],[f5787,f14758])).
% 4.68/1.08 tff(f14825,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)))) )),
% 4.68/1.08 inference(superposition,[],[f5501,f14758])).
% 4.68/1.08 tff(f14824,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2)))) )),
% 4.68/1.08 inference(superposition,[],[f5581,f14758])).
% 4.68/1.08 tff(f14823,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f344,f14758])).
% 4.68/1.08 tff(f14822,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f5585,f14758])).
% 4.68/1.08 tff(f14821,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f5586,f14758])).
% 4.68/1.08 tff(f14820,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = last(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f14758])).
% 4.68/1.08 tff(f14819,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f4751,f14758])).
% 4.68/1.08 tff(f14818,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f5759,f14758])).
% 4.68/1.08 tff(f14883,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) | b = X0) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14817,f335])).
% 4.68/1.08 tff(f14817,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (b = X0 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) )),
% 4.68/1.08 inference(superposition,[],[f498,f14758])).
% 4.68/1.08 tff(f14816,plain,(
% 4.68/1.08 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X2 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.08 inference(superposition,[],[f3074,f14758])).
% 4.68/1.08 tff(f14815,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(superposition,[],[f2379,f14758])).
% 4.68/1.08 tff(f14814,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f381,f14758])).
% 4.68/1.08 tff(f14813,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f7273,f14758])).
% 4.68/1.08 tff(f14811,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f4317,f14758])).
% 4.68/1.08 tff(f14810,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f5506,f14758])).
% 4.68/1.08 tff(f14809,plain,(
% 4.68/1.08 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.08 inference(superposition,[],[f2374,f14758])).
% 4.68/1.08 tff(f14882,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (a = last(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X1,X0))) | b = X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14808,f2238])).
% 4.68/1.08 tff(f14808,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (b = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(superposition,[],[f584,f14758])).
% 4.68/1.08 tff(f14881,plain,(
% 4.68/1.08 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X2,X1)))) | b = X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14807,f2238])).
% 4.68/1.08 tff(f14807,plain,(
% 4.68/1.08 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = X2 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,append(arrow_411405190le_alt,X1,insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.08 inference(superposition,[],[f2081,f14758])).
% 4.68/1.08 tff(f14806,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f385,f14758])).
% 4.68/1.08 tff(f14805,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK6(arrow_411405190le_alt,X1) | nil(arrow_411405190le_alt) = X1 | a = last(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f7166,f14758])).
% 4.68/1.08 tff(f14804,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (append(arrow_411405190le_alt,butlast(arrow_411405190le_alt,X0),insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) = X0 | nil(arrow_411405190le_alt) = X0 | a = last(arrow_411405190le_alt,X0)) )),
% 4.68/1.08 inference(superposition,[],[f6354,f14758])).
% 4.68/1.08 tff(f14803,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))))) )),
% 4.68/1.08 inference(superposition,[],[f4375,f14758])).
% 4.68/1.08 tff(f14802,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (b = X1 | a = hd(arrow_411405190le_alt,rotate1(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f4381,f14758])).
% 4.68/1.08 tff(f14801,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f343,f14758])).
% 4.68/1.08 tff(f14800,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (b = last(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = rev(arrow_411405190le_alt,X0) | a = hd(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f14758])).
% 4.68/1.08 tff(f14880,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (a = hd(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1)) | b = X0) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14797,f2164])).
% 4.68/1.08 tff(f14797,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)),X1))) )),
% 4.68/1.08 inference(superposition,[],[f2210,f14758])).
% 4.68/1.08 tff(f14796,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (b = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f2135,f14758])).
% 4.68/1.08 tff(f14795,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = hd(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f387,f14758])).
% 4.68/1.08 tff(f14794,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK3(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f2212,f14758])).
% 4.68/1.08 tff(f14793,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (b = sK7(arrow_411405190le_alt,X0) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,append(arrow_411405190le_alt,X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f2213,f14758])).
% 4.68/1.08 tff(f14792,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | nil(arrow_411405190le_alt) = X0 | a = hd(arrow_411405190le_alt,X0)) )),
% 4.68/1.08 inference(superposition,[],[f1813,f14758])).
% 4.68/1.08 tff(f14791,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))))) | a = sK19),
% 4.68/1.08 inference(superposition,[],[f1154,f14758])).
% 4.68/1.08 tff(f14790,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))) | a = sK19),
% 4.68/1.08 inference(superposition,[],[f1574,f14758])).
% 4.68/1.08 tff(f14789,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | a = sK19) )),
% 4.68/1.08 inference(superposition,[],[f1585,f14758])).
% 4.68/1.08 tff(f14788,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))) | a = sK19),
% 4.68/1.08 inference(superposition,[],[f1591,f14758])).
% 4.68/1.08 tff(f14787,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | a = sK19) )),
% 4.68/1.08 inference(superposition,[],[f1602,f14758])).
% 4.68/1.08 tff(f14786,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt))))) | a = sK19),
% 4.68/1.08 inference(superposition,[],[f5678,f14758])).
% 4.68/1.08 tff(f14785,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK18),
% 4.68/1.08 inference(superposition,[],[f1154,f14758])).
% 4.68/1.08 tff(f14784,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = sK18),
% 4.68/1.08 inference(superposition,[],[f1591,f14758])).
% 4.68/1.08 tff(f14783,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | a = sK18) )),
% 4.68/1.08 inference(superposition,[],[f1602,f14758])).
% 4.68/1.08 tff(f14782,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK18),
% 4.68/1.08 inference(superposition,[],[f5678,f14758])).
% 4.68/1.08 tff(f14781,plain,(
% 4.68/1.08 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK17),
% 4.68/1.08 inference(superposition,[],[f1154,f14758])).
% 4.68/1.08 tff(f14779,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0) | a = sK17) )),
% 4.68/1.08 inference(superposition,[],[f1585,f14758])).
% 4.68/1.08 tff(f14778,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) | a = X0) )),
% 4.68/1.08 inference(superposition,[],[f14706,f14758])).
% 4.68/1.08 tff(f14777,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | a = X0) )),
% 4.68/1.08 inference(superposition,[],[f1032,f14758])).
% 4.68/1.08 tff(f14776,plain,(
% 4.68/1.08 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | a = X0) )),
% 4.68/1.08 inference(superposition,[],[f1029,f14758])).
% 4.68/1.08 tff(f14775,plain,(
% 4.68/1.08 ( ! [X2 : arrow_411405190le_alt,X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X1 | a = X0) )),
% 4.68/1.08 inference(superposition,[],[f1027,f14758])).
% 4.68/1.08 tff(f14774,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.08 inference(superposition,[],[f575,f14758])).
% 4.68/1.08 tff(f14879,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14772,f335])).
% 4.68/1.08 tff(f14772,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt))))) | a = X0) )),
% 4.68/1.08 inference(superposition,[],[f318,f14758])).
% 4.68/1.08 tff(f14758,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (b = X0 | a = X0) )),
% 4.68/1.08 inference(resolution,[],[f14745,f14713])).
% 4.68/1.08 tff(f14770,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X1) | b = X0 | cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14767,f328])).
% 4.68/1.08 tff(f14767,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | b = X0 | cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14745,f823])).
% 4.68/1.08 tff(f14769,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X1)) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14762,f328])).
% 4.68/1.08 tff(f14762,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)))) | b = X0 | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14745,f823])).
% 4.68/1.08 tff(f14745,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | b = X0) )),
% 4.68/1.08 inference(resolution,[],[f14706,f14713])).
% 4.68/1.08 tff(f14757,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X1) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14754,f328])).
% 4.68/1.08 tff(f14754,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14706,f823])).
% 4.68/1.08 tff(f14756,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X1)) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14749,f328])).
% 4.68/1.08 tff(f14749,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14706,f823])).
% 4.68/1.08 tff(f14706,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14705,f335])).
% 4.68/1.08 tff(f14705,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14704,f335])).
% 4.68/1.08 tff(f14704,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f14684,f319])).
% 4.68/1.08 tff(f14684,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = b) )),
% 4.68/1.08 inference(resolution,[],[f442,f318])).
% 4.68/1.08 tff(f14416,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,nil(X0),X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f607,f14233])).
% 4.68/1.08 tff(f14415,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f604,f14233])).
% 4.68/1.08 tff(f14414,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X1,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f599,f14233])).
% 4.68/1.08 tff(f14738,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (distinct(X0,X3) | X1 = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14734,f328])).
% 4.68/1.08 tff(f14734,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (distinct(X0,rev(X0,rev(X0,X3))) | X1 = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 4.68/1.08 inference(superposition,[],[f14713,f823])).
% 4.68/1.08 tff(f14737,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (distinct(X0,cons(X0,X3,X2)) | X1 = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14729,f328])).
% 4.68/1.08 tff(f14729,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (distinct(X0,cons(X0,X3,rev(X0,rev(X0,X2)))) | X1 = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14713,f823])).
% 4.68/1.08 tff(f14719,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (distinct(X0,X4) | ~distinct(X0,cons(X0,X2,X3)) | ~distinct(X0,cons(X0,X1,X3)) | X1 = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14701,f328])).
% 4.68/1.08 tff(f14701,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X4))) | ~distinct(X0,cons(X0,X2,X3)) | ~distinct(X0,cons(X0,X1,X3)) | X1 = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 4.68/1.08 inference(superposition,[],[f442,f823])).
% 4.68/1.08 tff(f14718,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (distinct(X0,cons(X0,X4,X3)) | ~distinct(X0,cons(X0,X1,X2)) | ~distinct(X0,cons(X0,X4,X2)) | X1 = X4 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14696,f328])).
% 4.68/1.08 tff(f14696,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (distinct(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) | ~distinct(X0,cons(X0,X1,X2)) | ~distinct(X0,cons(X0,X4,X2)) | X1 = X4 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f442,f823])).
% 4.68/1.08 tff(f14692,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (distinct(X0,cons(X0,X2,X1)) | ~distinct(X0,cons(X0,sK7(X0,X1),sK8(X0,X1))) | ~distinct(X0,cons(X0,X2,sK8(X0,X1))) | sK7(X0,X1) = X2 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f442,f351])).
% 4.68/1.08 tff(f14691,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (distinct(X0,cons(X0,X2,X1)) | ~distinct(X0,cons(X0,sK3(X0,X1),sK4(X0,X1))) | ~distinct(X0,cons(X0,X2,sK4(X0,X1))) | sK3(X0,X1) = X2 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f442,f347])).
% 4.68/1.08 tff(f14711,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,append(X0,cons(X0,X4,X2),X3)) | ~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)) | X1 = X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14710,f430])).
% 4.68/1.08 tff(f14710,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)) | ~distinct(X0,cons(X0,X4,append(X0,X2,X3))) | X1 = X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14709,f430])).
% 4.68/1.08 tff(f14709,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)) | ~distinct(X0,cons(X0,X1,append(X0,X2,X3))) | ~distinct(X0,cons(X0,X4,append(X0,X2,X3))) | X1 = X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14687,f430])).
% 4.68/1.08 tff(f14687,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (distinct(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))) | ~distinct(X0,cons(X0,X1,append(X0,X2,X3))) | ~distinct(X0,cons(X0,X4,append(X0,X2,X3))) | X1 = X4) )),
% 4.68/1.08 inference(superposition,[],[f442,f430])).
% 4.68/1.08 tff(f14708,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)) != X0) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f14686,f319])).
% 4.68/1.08 tff(f14686,plain,(
% 4.68/1.08 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0)) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X0)) | a = b | insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)) != X0) )),
% 4.68/1.08 inference(resolution,[],[f442,f1027])).
% 4.68/1.08 tff(f14707,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f14685,f319])).
% 4.68/1.08 tff(f14685,plain,(
% 4.68/1.08 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = b) )),
% 4.68/1.08 inference(resolution,[],[f442,f575])).
% 4.68/1.08 tff(f14413,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X2,X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f596,f14233])).
% 4.68/1.08 tff(f14669,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),X2) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14657,f328])).
% 4.68/1.08 tff(f14657,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),rev(X0,rev(X0,X2))) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14282,f823])).
% 4.68/1.08 tff(f14652,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,nil(X0),X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f14282,f328])).
% 4.68/1.08 tff(f14651,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),X2) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14282,f823])).
% 4.68/1.08 tff(f14646,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),append(X0,rev(X0,X2),X1)) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14282,f2004])).
% 4.68/1.08 tff(f14645,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),append(X0,X2,rev(X0,X1))) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14282,f1994])).
% 4.68/1.08 tff(f14643,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),rev(X0,X2)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14282,f641])).
% 4.68/1.08 tff(f14642,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,nil(X0),rev(X0,X2)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14282,f641])).
% 4.68/1.08 tff(f14282,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,nil(X0),rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f607,f14187])).
% 4.68/1.08 tff(f14638,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,X2,X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14626,f328])).
% 4.68/1.08 tff(f14626,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,rev(X0,rev(X0,X2)),X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14281,f823])).
% 4.68/1.08 tff(f14621,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f14281,f328])).
% 4.68/1.08 tff(f14620,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,X2,X3) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14281,f823])).
% 4.68/1.08 tff(f14615,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,append(X0,rev(X0,X2),X1),X3) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14281,f2004])).
% 4.68/1.08 tff(f14614,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,append(X0,X2,rev(X0,X1)),X3) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14281,f1994])).
% 4.68/1.08 tff(f14612,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,rev(X0,X2),X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14281,f641])).
% 4.68/1.08 tff(f14611,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,rev(X0,X2),X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14281,f641])).
% 4.68/1.08 tff(f14281,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,rev(X0,X1),X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f604,f14187])).
% 4.68/1.08 tff(f14607,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X2,nil(X0)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14595,f328])).
% 4.68/1.08 tff(f14595,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,rev(X0,X2)),nil(X0)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14280,f823])).
% 4.68/1.08 tff(f14590,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X1,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f14280,f328])).
% 4.68/1.08 tff(f14589,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X2,nil(X0)) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14280,f823])).
% 4.68/1.08 tff(f14584,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,append(X0,rev(X0,X2),X1),nil(X0)) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14280,f2004])).
% 4.68/1.08 tff(f14583,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,append(X0,X2,rev(X0,X1)),nil(X0)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14280,f1994])).
% 4.68/1.08 tff(f14581,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,X2),nil(X0)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14280,f641])).
% 4.68/1.08 tff(f14580,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,X2),nil(X0)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14280,f641])).
% 4.68/1.08 tff(f14280,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,rev(X0,X1),nil(X0)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f599,f14187])).
% 4.68/1.08 tff(f14576,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,X2) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14564,f328])).
% 4.68/1.08 tff(f14564,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,rev(X0,rev(X0,X2))) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14279,f823])).
% 4.68/1.08 tff(f14559,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X2,X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f14279,f328])).
% 4.68/1.08 tff(f14558,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,X2) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14279,f823])).
% 4.68/1.08 tff(f14553,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,append(X0,rev(X0,X2),X1)) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14279,f2004])).
% 4.68/1.08 tff(f14552,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,append(X0,X2,rev(X0,X1))) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14279,f1994])).
% 4.68/1.08 tff(f14550,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,rev(X0,X2)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14279,f641])).
% 4.68/1.08 tff(f14549,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),X3,rev(X0,X2)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14279,f641])).
% 4.68/1.08 tff(f14279,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X2,rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f596,f14187])).
% 4.68/1.08 tff(f14536,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,sK6(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != rev(X0,sK5(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f6509,f14233])).
% 4.68/1.08 tff(f14535,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (maps(X1,X0,X2,X4) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != rev(X0,aa(X1,list(X0),X2,X3))) )),
% 4.68/1.08 inference(superposition,[],[f452,f14233])).
% 4.68/1.08 tff(f14534,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != rev(X0,takeWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f454,f14233])).
% 4.68/1.08 tff(f14533,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) = X2 | nil(X0) != rev(X0,takeWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f376,f14233])).
% 4.68/1.08 tff(f14546,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != X1 | rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14531,f328])).
% 4.68/1.08 tff(f14531,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,rev(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f4619,f14233])).
% 4.68/1.08 tff(f14545,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | rev(X0,append(X0,X2,X1)) = rev(X0,X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14530,f328])).
% 4.68/1.08 tff(f14530,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != rev(X0,rev(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f378,f14233])).
% 4.68/1.08 tff(f14492,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != rev(X0,dropWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1094,f14233])).
% 4.68/1.08 tff(f14491,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),X2) | nil(X0) != rev(X0,dropWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1096,f14233])).
% 4.68/1.08 tff(f14490,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,last(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != rev(X0,butlast(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f6354,f14233])).
% 4.68/1.08 tff(f14488,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = X3 | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f429,f14233])).
% 4.68/1.08 tff(f14487,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),takeWhile(X0,X2,X3),X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1093,f14233])).
% 4.68/1.08 tff(f14486,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,takeWhile(X0,X2,X3)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1095,f14233])).
% 4.68/1.08 tff(f14482,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != rotate1(X0,cons(X0,X2,X3)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f7058,f14233])).
% 4.68/1.08 tff(f14479,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | nil(X0) != X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13398,f14233])).
% 4.68/1.08 tff(f14473,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | X1 = X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1338,f14233])).
% 4.68/1.08 tff(f14468,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f8632,f14233])).
% 4.68/1.08 tff(f14467,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f8632,f14233])).
% 4.68/1.08 tff(f14466,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f7492,f14233])).
% 4.68/1.08 tff(f14465,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f7492,f14233])).
% 4.68/1.08 tff(f14463,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2238,f14233])).
% 4.68/1.08 tff(f14459,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1049,f14233])).
% 4.68/1.08 tff(f14456,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) = X1 | nil(X0) != X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f12261,f14233])).
% 4.68/1.08 tff(f14450,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != rev(X0,X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13525,f14233])).
% 4.68/1.08 tff(f14439,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | sP0(X0,X3,X3,X1,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2834,f14233])).
% 4.68/1.08 tff(f14438,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | sP0(X0,X3,X3,nil(X0),X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2805,f14233])).
% 4.68/1.08 tff(f14434,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,X2) | nil(X0) != X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2715,f14233])).
% 4.68/1.08 tff(f14432,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,X2,X1) | nil(X0) != X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2713,f14233])).
% 4.68/1.08 tff(f14430,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X3,X1) | nil(X0) != X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2648,f14233])).
% 4.68/1.08 tff(f14429,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X1,X2) | nil(X0) != X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2647,f14233])).
% 4.68/1.08 tff(f14428,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X1,X3) | nil(X0) != X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2646,f14233])).
% 4.68/1.08 tff(f14427,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X2,X1) | nil(X0) != X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2645,f14233])).
% 4.68/1.08 tff(f14424,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2571,f14233])).
% 4.68/1.08 tff(f14423,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,X2) | X1 != X3 | nil(X0) = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2321,f14233])).
% 4.68/1.08 tff(f14412,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,X2,X2,cons(X0,X3,X1),X3) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f538,f14233])).
% 4.68/1.08 tff(f14411,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,X2,X2,cons(X0,X3,X1),X3) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f534,f14233])).
% 4.68/1.08 tff(f14410,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),X1,X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f532,f14233])).
% 4.68/1.08 tff(f14409,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X3,append(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f532,f14233])).
% 4.68/1.08 tff(f14408,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,X2,X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f530,f14233])).
% 4.68/1.08 tff(f14407,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,append(X0,X3,X1),X3) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f530,f14233])).
% 4.68/1.08 tff(f14406,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP2(X0,X4,X2,X1,X3) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f479,f14233])).
% 4.68/1.08 tff(f14405,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP1(X0,X4,X2,X1,X3) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f471,f14233])).
% 4.68/1.08 tff(f14404,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X2,X4,X3,X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f463,f14233])).
% 4.68/1.08 tff(f14403,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X4,X2,X1,X3) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f463,f14233])).
% 4.68/1.08 tff(f14402,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X2 | X2 = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f445,f14233])).
% 4.68/1.08 tff(f14401,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X2 | X2 = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f445,f14233])).
% 4.68/1.08 tff(f14400,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X2 | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f443,f14233])).
% 4.68/1.08 tff(f14399,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X2 | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f443,f14233])).
% 4.68/1.08 tff(f14398,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X2) = append(X0,cons(X0,X3,X1),X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f430,f14233])).
% 4.68/1.08 tff(f14393,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | nil(X0) = X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f407,f14233])).
% 4.68/1.08 tff(f14389,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != rev(X0,X1) | append(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f14233,f823])).
% 4.68/1.08 tff(f14543,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f466,f476,f474,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f220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% 4.68/1.08 tff(f14388,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != rev(X0,X1) | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f14233,f2662])).
% 4.68/1.08 tff(f14542,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f466,f476,f474,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f220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% 4.68/1.08 tff(f14387,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != rev(X0,X1) | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f14233,f9121])).
% 4.68/1.08 tff(f14541,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f466,f476,f474,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f220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% 4.68/1.08 tff(f14386,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != rev(X0,X1) | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f14233,f10657])).
% 4.68/1.08 tff(f14385,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,sK6(X0,X1),nil(X0)) = X1 | nil(X0) != rev(X0,sK5(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f14233,f6509])).
% 4.68/1.08 tff(f14384,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (maps(X1,X0,X2,X4) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != rev(X0,aa(X1,list(X0),X2,X3))) )),
% 4.68/1.08 inference(superposition,[],[f14233,f452])).
% 4.68/1.08 tff(f14383,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) = X2 | nil(X0) != rev(X0,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 4.68/1.08 inference(superposition,[],[f14233,f454])).
% 4.68/1.08 tff(f14382,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) = X2 | nil(X0) != rev(X0,takeWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14233,f376])).
% 4.68/1.08 tff(f14540,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != X1 | rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14381,f328])).
% 4.68/1.08 tff(f14381,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,rev(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f14233,f4619])).
% 4.68/1.08 tff(f14539,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | rev(X0,append(X0,X2,X1)) = rev(X0,X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14380,f328])).
% 4.68/1.08 tff(f14380,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != rev(X0,rev(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f14233,f378])).
% 4.68/1.08 tff(f14378,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,last(X0,X1),nil(X0)) = X1 | nil(X0) != rev(X0,butlast(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f14233,f6354])).
% 4.68/1.08 tff(f14377,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = X3 | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14233,f429])).
% 4.68/1.08 tff(f14376,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | nil(X0) != rev(X0,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14233,f13398])).
% 4.68/1.08 tff(f14374,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f14233,f2238])).
% 4.68/1.08 tff(f14373,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) = X1 | nil(X0) != rev(X0,X1) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f14233,f12261])).
% 4.68/1.08 tff(f14371,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != rev(X0,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14233,f2571])).
% 4.68/1.08 tff(f14370,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != rev(X0,X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f14233,f13525])).
% 4.68/1.08 tff(f14233,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f14187,f328])).
% 4.68/1.08 tff(f14353,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),takeWhile(X0,X2,X3),rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f1093,f14187])).
% 4.68/1.08 tff(f14352,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,rev(X0,X1),takeWhile(X0,X2,X3)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f1095,f14187])).
% 4.68/1.08 tff(f14348,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),X3) != rotate1(X0,cons(X0,X2,X3)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f7058,f14187])).
% 4.68/1.08 tff(f14345,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,X2) | nil(X0) != X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f13398,f14187])).
% 4.68/1.08 tff(f14339,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | rev(X0,X1) = X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f1338,f14187])).
% 4.68/1.08 tff(f14334,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | rev(X0,X1) = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f8632,f14187])).
% 4.68/1.08 tff(f14333,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | rev(X0,X1) = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f8632,f14187])).
% 4.68/1.08 tff(f14332,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f7492,f14187])).
% 4.68/1.08 tff(f14331,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f7492,f14187])).
% 4.68/1.08 tff(f14329,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (insert(X0,X2,nil(X0)) = rotate1(X0,cons(X0,X2,rev(X0,X1))) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2238,f14187])).
% 4.68/1.08 tff(f14322,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,X1) = dropWhile(X0,X2,X3) | nil(X0) != X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f12261,f14187])).
% 4.68/1.08 tff(f14316,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != rev(X0,X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f13525,f14187])).
% 4.68/1.08 tff(f14305,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | sP0(X0,X3,X3,rev(X0,X1),nil(X0)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2834,f14187])).
% 4.68/1.08 tff(f14304,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | sP0(X0,X3,X3,nil(X0),rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2805,f14187])).
% 4.68/1.08 tff(f14300,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,rev(X0,X1),X2) | nil(X0) != X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2715,f14187])).
% 4.68/1.08 tff(f14298,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,X2,rev(X0,X1)) | nil(X0) != X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2713,f14187])).
% 4.68/1.08 tff(f14296,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X3,rev(X0,X1)) | nil(X0) != X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2648,f14187])).
% 4.68/1.08 tff(f14295,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,X1),X2) | nil(X0) != X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2647,f14187])).
% 4.68/1.08 tff(f14294,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,rev(X0,X1),X3) | nil(X0) != X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2646,f14187])).
% 4.68/1.08 tff(f14293,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X2,rev(X0,X1)) | nil(X0) != X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2645,f14187])).
% 4.68/1.08 tff(f14290,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2571,f14187])).
% 4.68/1.08 tff(f14289,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,X2) | rev(X0,X1) != X3 | nil(X0) = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2321,f14187])).
% 4.68/1.08 tff(f14278,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,X2,X2,cons(X0,X3,rev(X0,X1)),X3) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f538,f14187])).
% 4.68/1.08 tff(f14277,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,X2,X2,cons(X0,X3,rev(X0,X1)),X3) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f534,f14187])).
% 4.68/1.08 tff(f14276,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),rev(X0,X1),X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f532,f14187])).
% 4.68/1.08 tff(f14275,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X3,append(X0,X3,rev(X0,X1))) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f532,f14187])).
% 4.68/1.08 tff(f14274,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,X2,rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f530,f14187])).
% 4.68/1.08 tff(f14273,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,append(X0,X3,rev(X0,X1)),X3) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f530,f14187])).
% 4.68/1.08 tff(f14272,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP2(X0,X4,X2,rev(X0,X1),X3) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f479,f14187])).
% 4.68/1.08 tff(f14271,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP1(X0,X4,X2,rev(X0,X1),X3) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f471,f14187])).
% 4.68/1.08 tff(f14270,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X2,X4,X3,rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f463,f14187])).
% 4.68/1.08 tff(f14269,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X4,X2,rev(X0,X1),X3) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f463,f14187])).
% 4.68/1.08 tff(f14268,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),X3) != X2 | X2 = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f445,f14187])).
% 4.68/1.08 tff(f14267,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),X3) != X2 | X2 = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f445,f14187])).
% 4.68/1.08 tff(f14266,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X2 | rev(X0,X1) = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f443,f14187])).
% 4.68/1.08 tff(f14265,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X2 | rev(X0,X1) = X3 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f443,f14187])).
% 4.68/1.08 tff(f14264,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X2) = append(X0,cons(X0,X3,rev(X0,X1)),X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f430,f14187])).
% 4.68/1.08 tff(f14259,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | nil(X0) = X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f407,f14187])).
% 4.68/1.08 tff(f14255,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f4619,f14187])).
% 4.68/1.08 tff(f14254,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f378,f14187])).
% 4.68/1.08 tff(f14252,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != X1 | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f14187,f823])).
% 4.68/1.08 tff(f14251,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != X1 | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14187,f2662])).
% 4.68/1.08 tff(f14250,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != X1 | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14187,f9121])).
% 4.68/1.08 tff(f14249,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != X1 | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14187,f10657])).
% 4.68/1.08 tff(f14248,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,X2) | nil(X0) != X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14187,f13398])).
% 4.68/1.08 tff(f14246,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (insert(X0,X2,nil(X0)) = rotate1(X0,cons(X0,X2,rev(X0,X1))) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14187,f2238])).
% 4.68/1.08 tff(f14245,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,X1) = dropWhile(X0,X2,X3) | nil(X0) != X1 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f14187,f12261])).
% 4.68/1.08 tff(f14243,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14187,f2571])).
% 4.68/1.08 tff(f14242,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != X1 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f14187,f13525])).
% 4.68/1.08 tff(f14241,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14187,f4619])).
% 4.68/1.08 tff(f14240,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f14187,f378])).
% 4.68/1.08 tff(f14364,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) = X3 | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14238,f328])).
% 4.68/1.08 tff(f14238,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,rev(X0,X2)),X3) = X3 | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f14187,f823])).
% 4.68/1.08 tff(f14232,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) = X3 | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14187,f823])).
% 4.68/1.08 tff(f14227,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,append(X0,rev(X0,X2),X1),X3) = X3 | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f14187,f2004])).
% 4.68/1.08 tff(f14226,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,append(X0,X2,rev(X0,X1)),X3) = X3 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f14187,f1994])).
% 4.68/1.08 tff(f14224,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X3) = X3 | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14187,f641])).
% 4.68/1.08 tff(f14223,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X3) = X3 | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f14187,f641])).
% 4.68/1.08 tff(f14187,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14082,f328])).
% 4.68/1.08 tff(f14082,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X1)) = append(X0,rev(X0,X2),X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2004,f2571])).
% 4.68/1.08 tff(f14164,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,rev(X0,X2),X1),X3,nil(X0),X3) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f13574,f2004])).
% 4.68/1.08 tff(f14163,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),append(X0,rev(X0,X2),X1),X3,X3) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f13573,f2004])).
% 4.68/1.08 tff(f14162,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,rev(X0,X2),X1),X3,nil(X0)) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f13572,f2004])).
% 4.68/1.08 tff(f14161,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,rev(X0,X2),X1),nil(X0),X3,X3) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f13571,f2004])).
% 4.68/1.08 tff(f14160,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,append(X0,rev(X0,X2),X1)) = X3 | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f13398,f2004])).
% 4.68/1.08 tff(f14159,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) = append(X0,rev(X0,X4),insert(X0,X3,nil(X0)))) )),
% 4.68/1.08 inference(superposition,[],[f8109,f2004])).
% 4.68/1.08 tff(f14158,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (insert(X0,X3,nil(X0)) != append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f7892,f2004])).
% 4.68/1.08 tff(f14157,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,rev(X0,X2),X1) != rev(X0,cons(X0,X3,X4)) | append(X0,rev(X0,X1),X2) != X4) )),
% 4.68/1.08 inference(superposition,[],[f7847,f2004])).
% 4.68/1.08 tff(f14222,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,append(X0,cons(X0,X3,rev(X0,X2)),X1)) != X4 | append(X0,rev(X0,X1),X2) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14156,f430])).
% 4.68/1.08 tff(f14156,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,append(X0,rev(X0,X2),X1))) != X4 | append(X0,rev(X0,X1),X2) != X4) )),
% 4.68/1.08 inference(superposition,[],[f7841,f2004])).
% 4.68/1.08 tff(f14221,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,rev(X0,X1),X2) != rev(X0,append(X0,cons(X0,X3,rev(X0,X2)),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14155,f430])).
% 4.68/1.08 tff(f14155,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,rev(X0,X1),X2) != rev(X0,cons(X0,X3,append(X0,rev(X0,X2),X1)))) )),
% 4.68/1.08 inference(superposition,[],[f7837,f2004])).
% 4.68/1.08 tff(f14154,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,append(X0,rev(X0,X1),X2)) = sK6(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f7362,f2004])).
% 4.68/1.08 tff(f14153,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,append(X0,rev(X0,X1),X2)) = sK6(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f7361,f2004])).
% 4.68/1.08 tff(f14152,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | nil(X0) = X3 | ~null(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f7066,f2004])).
% 4.68/1.08 tff(f14151,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | nil(X0) = append(X0,rev(X0,X1),X2) | ~null(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f7022,f2004])).
% 4.68/1.08 tff(f14150,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = X3 | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f7010,f2004])).
% 4.68/1.08 tff(f14149,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f7009,f2004])).
% 4.68/1.08 tff(f14148,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != append(X0,rev(X0,X2),X1) | rev(X0,X4) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f6460,f2004])).
% 4.68/1.08 tff(f14147,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,append(X0,rev(X0,X2),X1)) != X4 | rev(X0,X4) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f6448,f2004])).
% 4.68/1.08 tff(f14146,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f6117,f2004])).
% 4.68/1.08 tff(f14145,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f5718,f2004])).
% 4.68/1.08 tff(f14144,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != append(X0,rev(X0,X2),X1) | cons(X0,X4,X3) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f5614,f2004])).
% 4.68/1.08 tff(f14143,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != append(X0,rev(X0,X2),X1) | cons(X0,X4,append(X0,rev(X0,X1),X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f5614,f2004])).
% 4.68/1.08 tff(f14142,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,rev(X0,X2),X1)) = sK7(X0,append(X0,rev(X0,X1),X2)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f5586,f2004])).
% 4.68/1.08 tff(f14141,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,rev(X0,X2),X1)) = sK3(X0,append(X0,rev(X0,X1),X2)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f5585,f2004])).
% 4.68/1.08 tff(f14140,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,rev(X0,X2),X1) | cons(X0,X3,X4) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f5323,f2004])).
% 4.68/1.08 tff(f14220,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,cons(X0,X3,rev(X0,X1)),X2) = rev(X0,rotate1(X0,append(X0,cons(X0,X3,rev(X0,X2)),X1)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14219,f430])).
% 4.68/1.08 tff(f14219,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,append(X0,rev(X0,X1),X2)) = rev(X0,rotate1(X0,append(X0,cons(X0,X3,rev(X0,X2)),X1)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14139,f430])).
% 4.68/1.08 tff(f14139,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,append(X0,rev(X0,X1),X2)) = rev(X0,rotate1(X0,cons(X0,X3,append(X0,rev(X0,X2),X1))))) )),
% 4.68/1.08 inference(superposition,[],[f5095,f2004])).
% 4.68/1.08 tff(f14218,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,append(X0,rev(X0,X2),X1),insert(X0,X3,nil(X0))) = rev(X0,append(X0,cons(X0,X3,rev(X0,X1)),X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14138,f430])).
% 4.68/1.08 tff(f14138,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,append(X0,rev(X0,X1),X2))) = append(X0,append(X0,rev(X0,X2),X1),insert(X0,X3,nil(X0)))) )),
% 4.68/1.08 inference(superposition,[],[f4619,f2004])).
% 4.68/1.08 tff(f14137,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = rev(X0,dropWhile(X0,X3,append(X0,rev(X0,X1),X2)))) )),
% 4.68/1.08 inference(superposition,[],[f3107,f2004])).
% 4.68/1.08 tff(f14217,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),append(X0,X2,rev(X0,X3))) = rev(X0,append(X0,X3,append(X0,rev(X0,X2),X1)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14136,f429])).
% 4.68/1.08 tff(f14136,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,rev(X0,X2),X1))) = append(X0,append(X0,rev(X0,X1),X2),rev(X0,X3))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2004])).
% 4.68/1.08 tff(f14135,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,rev(X0,X1),X2)) = hd(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f2004])).
% 4.68/1.08 tff(f14134,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,append(X0,rev(X0,X1),X2)) = last(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f2004])).
% 4.68/1.08 tff(f14133,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | nil(X0) != append(X0,rev(X0,X1),X2) | distinct(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1021,f2004])).
% 4.68/1.08 tff(f14132,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | distinct(X0,append(X0,rev(X0,X1),X2)) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1020,f2004])).
% 4.68/1.08 tff(f14131,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | ~distinct(X0,append(X0,rev(X0,X1),X2)) | distinct(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1019,f2004])).
% 4.68/1.08 tff(f14130,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | distinct(X0,append(X0,rev(X0,X1),X2)) | ~distinct(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1018,f2004])).
% 4.68/1.08 tff(f14129,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,append(X0,rev(X0,X2),X1)) != X3 | cons(X0,X4,X3) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f918,f2004])).
% 4.68/1.08 tff(f14128,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,rev(X0,X2),X1)) | nil(X0) != X3 | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f876,f2004])).
% 4.68/1.08 tff(f14127,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,rev(X0,X2),X1) | distinct(X0,X3) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f831,f2004])).
% 4.68/1.08 tff(f14126,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,rev(X0,X2),X1)) | distinct(X0,X3) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f824,f2004])).
% 4.68/1.08 tff(f14125,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,rev(X0,X2),X1)) = X3 | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f823,f2004])).
% 4.68/1.08 tff(f14124,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,rev(X0,X2),X1)) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f787,f2004])).
% 4.68/1.08 tff(f14123,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f772,f2004])).
% 4.68/1.08 tff(f14122,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,rev(X0,X2),X1) | distinct(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f768,f2004])).
% 4.68/1.08 tff(f14121,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f641,f2004])).
% 4.68/1.08 tff(f14120,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f641,f2004])).
% 4.68/1.08 tff(f14119,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) != X3 | rev(X0,X3) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f590,f2004])).
% 4.68/1.08 tff(f14118,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f583,f2004])).
% 4.68/1.08 tff(f14117,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) != append(X0,rev(X0,X2),X1) | cons(X0,X3,nil(X0)) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f423,f2004])).
% 4.68/1.08 tff(f14116,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) = X3) )),
% 4.68/1.08 inference(superposition,[],[f421,f2004])).
% 4.68/1.08 tff(f14115,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) = X3) )),
% 4.68/1.08 inference(superposition,[],[f421,f2004])).
% 4.68/1.08 tff(f14216,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,rev(X0,X2),X1)) = append(X0,rev(X0,append(X0,X2,X3)),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14215,f2004])).
% 4.68/1.08 tff(f14215,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,rev(X0,X2),X1)) = rev(X0,append(X0,rev(X0,X1),append(X0,X2,X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14114,f429])).
% 4.68/1.08 tff(f14114,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,append(X0,rev(X0,X1),X2),X3)) = append(X0,rev(X0,X3),append(X0,rev(X0,X2),X1))) )),
% 4.68/1.08 inference(superposition,[],[f378,f2004])).
% 4.68/1.08 tff(f14214,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,rev(X0,X1),X2))) = append(X0,rev(X0,X2),append(X0,X1,rev(X0,X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14113,f429])).
% 4.68/1.08 tff(f14113,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,rev(X0,X1),X2))) = append(X0,append(X0,rev(X0,X2),X1),rev(X0,X3))) )),
% 4.68/1.08 inference(superposition,[],[f378,f2004])).
% 4.68/1.08 tff(f14112,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,rev(X0,X2),X1) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f363,f2004])).
% 4.68/1.08 tff(f14111,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,rev(X0,X2),X1)) | ~distinct(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f358,f2004])).
% 4.68/1.08 tff(f14110,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,rev(X0,X2),X1)) | distinct(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f357,f2004])).
% 4.68/1.08 tff(f14109,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,append(X0,rev(X0,X1),X2)) = last(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f344,f2004])).
% 4.68/1.08 tff(f14108,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,rev(X0,X1),X2)) = hd(X0,append(X0,rev(X0,X2),X1)) | nil(X0) = append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f343,f2004])).
% 4.68/1.08 tff(f14211,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14102,f326])).
% 4.68/1.08 tff(f14102,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,rev(X0,X2),X1) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f631])).
% 4.68/1.08 tff(f14101,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = append(X0,rev(X0,X2),X1) | rev(X0,append(X0,rev(X0,X1),X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2004,f823])).
% 4.68/1.08 tff(f14210,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14100,f565])).
% 4.68/1.08 tff(f14100,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f2662])).
% 4.68/1.08 tff(f14209,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14099,f334])).
% 4.68/1.08 tff(f14099,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = takeWhile(X0,X3,nil(X0)) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f9121])).
% 4.68/1.08 tff(f14208,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14098,f333])).
% 4.68/1.08 tff(f14098,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = dropWhile(X0,X3,nil(X0)) | nil(X0) != rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f10657])).
% 4.68/1.08 tff(f14097,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f2004,f583])).
% 4.68/1.08 tff(f14096,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2004,f641])).
% 4.68/1.08 tff(f14095,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2004,f641])).
% 4.68/1.08 tff(f14206,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14093,f328])).
% 4.68/1.08 tff(f14093,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,nil(X0))) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f2004,f631])).
% 4.68/1.08 tff(f14205,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,rev(X0,X2),X1) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14092,f328])).
% 4.68/1.08 tff(f14092,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = rev(X0,rev(X0,rev(X0,X3))) | append(X0,rev(X0,X1),X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2004,f823])).
% 4.68/1.08 tff(f14204,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14203,f326])).
% 4.68/1.08 tff(f14203,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14091,f565])).
% 4.68/1.08 tff(f14091,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = rev(X0,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f2004,f2662])).
% 4.68/1.08 tff(f14202,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14201,f326])).
% 4.68/1.08 tff(f14201,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14090,f334])).
% 4.68/1.08 tff(f14090,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = rev(X0,takeWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f2004,f9121])).
% 4.68/1.08 tff(f14200,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14199,f326])).
% 4.68/1.08 tff(f14199,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,rev(X0,X2),X1) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14089,f333])).
% 4.68/1.08 tff(f14089,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = rev(X0,dropWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,rev(X0,X1),X2)) )),
% 4.68/1.08 inference(superposition,[],[f2004,f10657])).
% 4.68/1.08 tff(f14192,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,dropWhile(X0,X2,X3)),X1) = X1 | nil(X0) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14085,f328])).
% 4.68/1.08 tff(f14085,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X1)) = append(X0,rev(X0,dropWhile(X0,X2,X3)),X1) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2004,f12261])).
% 4.68/1.08 tff(f14188,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (append(X0,rev(X0,dropWhile(X0,X2,rev(X0,X1))),X1) = X1 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14084,f328])).
% 4.68/1.08 tff(f14084,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (rev(X0,rev(X0,X1)) = append(X0,rev(X0,dropWhile(X0,X2,rev(X0,X1))),X1) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f2004,f4173])).
% 4.68/1.08 tff(f14180,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X3)) = append(X0,rev(X0,X3),X1) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14077,f328])).
% 4.68/1.08 tff(f14077,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),X1) = rev(X0,append(X0,rev(X0,rev(X0,X2)),X3)) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2004,f823])).
% 4.68/1.08 tff(f14073,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,rev(X0,X3),rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f5095])).
% 4.68/1.08 tff(f14071,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),rev(X0,X1)) = rev(X0,append(X0,X2,X3)) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f2004,f823])).
% 4.68/1.08 tff(f14172,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,append(X0,X1,X2)) | nil(X0) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14069,f331])).
% 4.68/1.08 tff(f14069,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X2)) = append(X0,rev(X0,X2),nil(X0)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f2004,f631])).
% 4.68/1.08 tff(f14171,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14170,f2164])).
% 4.68/1.08 tff(f14170,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,append(X0,insert(X0,X1,nil(X0)),X2)) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14068,f2238])).
% 4.68/1.08 tff(f14068,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,append(X0,insert(X0,X1,nil(X0)),X2)) = append(X0,rev(X0,X2),insert(X0,X1,nil(X0)))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f1383])).
% 4.68/1.08 tff(f14168,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,rev(X0,X1),X2)) = append(X0,rev(X0,append(X0,X1,X3)),X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14167,f2004])).
% 4.68/1.08 tff(f14167,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,rev(X0,X1),X2)) = rev(X0,append(X0,rev(X0,X2),append(X0,X1,X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14066,f429])).
% 4.68/1.08 tff(f14066,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,rev(X0,X1),X2)) = rev(X0,append(X0,append(X0,rev(X0,X2),X1),X3))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f2004])).
% 4.68/1.08 tff(f14166,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,X1,rev(X0,X2))) = rev(X0,append(X0,X2,append(X0,rev(X0,X1),X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14065,f429])).
% 4.68/1.08 tff(f14065,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,X1,rev(X0,X2))) = rev(X0,append(X0,append(X0,X2,rev(X0,X1)),X3))) )),
% 4.68/1.08 inference(superposition,[],[f2004,f1994])).
% 4.68/1.08 tff(f14063,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,rev(X0,X2),X3)) = append(X0,rev(X0,X3),X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f2004,f641])).
% 4.68/1.08 tff(f14062,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,rev(X0,X2),X3)) = append(X0,rev(X0,X3),X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f2004,f641])).
% 4.68/1.08 tff(f2004,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X2),X1) = rev(X0,append(X0,rev(X0,X1),X2))) )),
% 4.68/1.08 inference(superposition,[],[f378,f328])).
% 4.68/1.08 tff(f14054,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | rev(X0,append(X0,X1,rev(X0,cons(X0,X2,X3)))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13325,f823])).
% 4.68/1.08 tff(f14049,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,X4) | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13325,f641])).
% 4.68/1.08 tff(f14048,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,X4) | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13325,f641])).
% 4.68/1.08 tff(f14061,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,X4) | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14045,f328])).
% 4.68/1.08 tff(f14045,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X4))) | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13325,f823])).
% 4.68/1.08 tff(f14036,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X1,append(X0,X2,rev(X0,cons(X0,X3,X4)))))) )),
% 4.68/1.08 inference(superposition,[],[f13325,f429])).
% 4.68/1.08 tff(f14060,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,X3)) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14030,f328])).
% 4.68/1.08 tff(f14030,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,rev(X0,rev(X0,X3)))) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13325,f823])).
% 4.68/1.08 tff(f14025,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13325,f641])).
% 4.68/1.08 tff(f14024,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13325,f641])).
% 4.68/1.08 tff(f14059,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14022,f328])).
% 4.68/1.08 tff(f14022,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,rev(X0,rev(X0,rev(X0,X3))))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13325,f823])).
% 4.68/1.08 tff(f14018,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13325,f351])).
% 4.68/1.08 tff(f14017,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13325,f347])).
% 4.68/1.08 tff(f14013,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X4,rev(X0,append(X0,cons(X0,X1,X2),X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13325,f430])).
% 4.68/1.08 tff(f13325,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,append(X0,X3,rev(X0,cons(X0,X1,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f8889,f1994])).
% 4.68/1.08 tff(f14012,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : bool,X1 : fun(X0,fun(list(X0),bool)),X4 : list(X0)] : (~pp(list_case(bool,X0,X3,X1,insert(X0,X2,nil(X0)))) | pp(aa(list(X0),bool,aa(X0,fun(list(X0),bool),X1,X2),sK13(X0,aa(X0,fun(list(X0),bool),X1,X2)))) | pp(aa(list(X0),bool,aa(X0,fun(list(X0),bool),X1,X2),X4))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f14011,f335])).
% 4.68/1.08 tff(f14011,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : bool,X1 : fun(X0,fun(list(X0),bool)),X4 : list(X0)] : (~pp(list_case(bool,X0,X3,X1,cons(X0,X2,nil(X0)))) | pp(aa(list(X0),bool,aa(X0,fun(list(X0),bool),X1,X2),sK13(X0,aa(X0,fun(list(X0),bool),X1,X2)))) | pp(aa(list(X0),bool,aa(X0,fun(list(X0),bool),X1,X2),X4))) )),
% 4.68/1.08 inference(superposition,[],[f401,f487])).
% 4.68/1.08 tff(f14010,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,sK13(X0,X1))) | pp(aa(list(X0),bool,X1,X2)) | nil(list(X0)) = takeWhile(list(X0),X1,cons(list(X0),nil(X0),X3))) )),
% 4.68/1.08 inference(resolution,[],[f401,f436])).
% 4.68/1.08 tff(f14009,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,sK13(X0,X1))) | pp(aa(list(X0),bool,X1,X2)) | cons(list(X0),nil(X0),X3) = dropWhile(list(X0),X1,cons(list(X0),nil(X0),X3))) )),
% 4.68/1.08 inference(resolution,[],[f401,f434])).
% 4.68/1.08 tff(f14008,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : fun(list(X0),bool),X4 : list(list(X0))] : (pp(aa(list(X0),bool,X1,sK13(X0,X1))) | pp(aa(list(X0),bool,X1,X2)) | takeWhile(list(X0),X1,X3) = takeWhile(list(X0),X1,append(list(X0),X3,cons(list(X0),nil(X0),X4)))) )),
% 4.68/1.08 inference(resolution,[],[f401,f453])).
% 4.68/1.08 tff(f401,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(list(X0),bool),X1 : list(X0)] : (~pp(aa(list(X0),bool,X2,nil(X0))) | pp(aa(list(X0),bool,X2,sK13(X0,X2))) | pp(aa(list(X0),bool,X2,X1))) )),
% 4.68/1.08 inference(cnf_transformation,[],[f272])).
% 4.68/1.08 tff(f272,plain,(
% 4.68/1.08 ! [X0 : $tType,X1 : list(X0),X2 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X2,X1)) | (~pp(aa(list(X0),bool,X2,append(X0,sK13(X0,X2),cons(X0,sK12(X0,X2),nil(X0))))) & pp(aa(list(X0),bool,X2,sK13(X0,X2)))) | ~pp(aa(list(X0),bool,X2,nil(X0))))),
% 4.68/1.08 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f236,f271])).
% 4.68/1.08 tff(f271,plain,(
% 4.68/1.08 ! [X0 : $tType,X2 : fun(list(X0),bool)] : (? [X3 : X0,X4 : list(X0)] : (~pp(aa(list(X0),bool,X2,append(X0,X4,cons(X0,X3,nil(X0))))) & pp(aa(list(X0),bool,X2,X4))) => (~pp(aa(list(X0),bool,X2,append(X0,sK13(X0,X2),cons(X0,sK12(X0,X2),nil(X0))))) & pp(aa(list(X0),bool,X2,sK13(X0,X2)))))),
% 4.68/1.08 introduced(choice_axiom,[])).
% 4.68/1.08 tff(f236,plain,(
% 4.68/1.08 ! [X0 : $tType,X1 : list(X0),X2 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X2,X1)) | ? [X3 : X0,X4 : list(X0)] : (~pp(aa(list(X0),bool,X2,append(X0,X4,cons(X0,X3,nil(X0))))) & pp(aa(list(X0),bool,X2,X4))) | ~pp(aa(list(X0),bool,X2,nil(X0))))),
% 4.68/1.08 inference(flattening,[],[f235])).
% 4.68/1.08 tff(f235,plain,(
% 4.68/1.08 ! [X0 : $tType,X1 : list(X0),X2 : fun(list(X0),bool)] : ((pp(aa(list(X0),bool,X2,X1)) | ? [X3 : X0,X4 : list(X0)] : (~pp(aa(list(X0),bool,X2,append(X0,X4,cons(X0,X3,nil(X0))))) & pp(aa(list(X0),bool,X2,X4)))) | ~pp(aa(list(X0),bool,X2,nil(X0))))),
% 4.68/1.08 inference(ennf_transformation,[],[f167])).
% 4.68/1.08 tff(f167,plain,(
% 4.68/1.08 ! [X0 : $tType,X1 : list(X0),X2 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X2,nil(X0))) => (! [X3 : X0,X4 : list(X0)] : (pp(aa(list(X0),bool,X2,X4)) => pp(aa(list(X0),bool,X2,append(X0,X4,cons(X0,X3,nil(X0)))))) => pp(aa(list(X0),bool,X2,X1))))),
% 4.68/1.08 inference(rectify,[],[f72])).
% 4.68/1.08 tff(f72,axiom,(
% 4.68/1.08 ! [X0 : $tType,X11 : list(X0),X25 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X25,nil(X0))) => (! [X26 : X0,X27 : list(X0)] : (pp(aa(list(X0),bool,X25,X27)) => pp(aa(list(X0),bool,X25,append(X0,X27,cons(X0,X26,nil(X0)))))) => pp(aa(list(X0),bool,X25,X11))))),
% 4.68/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_rev__induct)).
% 4.68/1.08 tff(f13753,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,nil(X0),X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f607,f13525])).
% 4.68/1.08 tff(f13752,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f604,f13525])).
% 4.68/1.08 tff(f13751,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,X1,nil(X0)) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f599,f13525])).
% 4.68/1.08 tff(f13750,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X1,X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f596,f13525])).
% 4.68/1.08 tff(f13997,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,nil(X0),X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13985,f328])).
% 4.68/1.08 tff(f13985,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X2)),X3,nil(X0),X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13574,f823])).
% 4.68/1.08 tff(f13980,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,nil(X0),X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13574,f328])).
% 4.68/1.08 tff(f13979,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,nil(X0),X3) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13574,f823])).
% 4.68/1.08 tff(f13974,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,rev(X0,X1)),X3,nil(X0),X3) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13574,f1994])).
% 4.68/1.08 tff(f13972,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X3,nil(X0),X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13574,f641])).
% 4.68/1.08 tff(f13971,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X3,nil(X0),X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13574,f641])).
% 4.68/1.08 tff(f13574,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X1,nil(X0),X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f607,f13398])).
% 4.68/1.08 tff(f13967,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X3,X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13955,f328])).
% 4.68/1.08 tff(f13955,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),rev(X0,rev(X0,X2)),X3,X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13573,f823])).
% 4.68/1.08 tff(f13950,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X1,X2,X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13573,f328])).
% 4.68/1.08 tff(f13949,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X3,X3) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13573,f823])).
% 4.68/1.08 tff(f13944,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),append(X0,X2,rev(X0,X1)),X3,X3) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13573,f1994])).
% 4.68/1.08 tff(f13942,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),rev(X0,X2),X3,X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13573,f641])).
% 4.68/1.08 tff(f13941,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),rev(X0,X2),X3,X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13573,f641])).
% 4.68/1.08 tff(f13573,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),rev(X0,X2),X1,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f604,f13398])).
% 4.68/1.08 tff(f13937,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X3,nil(X0)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13925,f328])).
% 4.68/1.08 tff(f13925,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,rev(X0,rev(X0,X2)),X3,nil(X0)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13572,f823])).
% 4.68/1.08 tff(f13920,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X2,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13572,f328])).
% 4.68/1.08 tff(f13919,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X3,nil(X0)) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13572,f823])).
% 4.68/1.08 tff(f13914,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,rev(X0,X1)),X3,nil(X0)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13572,f1994])).
% 4.68/1.08 tff(f13912,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,rev(X0,X2),X3,nil(X0)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13572,f641])).
% 4.68/1.08 tff(f13911,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,rev(X0,X2),X3,nil(X0)) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13572,f641])).
% 4.68/1.08 tff(f13572,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,rev(X0,X2),X1,nil(X0)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f599,f13398])).
% 4.68/1.08 tff(f13907,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13895,f328])).
% 4.68/1.08 tff(f13895,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X2)),nil(X0),X3,X3) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13571,f823])).
% 4.68/1.08 tff(f13890,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,nil(X0),X2,X2) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13571,f328])).
% 4.68/1.08 tff(f13889,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X3) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13571,f823])).
% 4.68/1.08 tff(f13884,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,rev(X0,X1)),nil(X0),X3,X3) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13571,f1994])).
% 4.68/1.08 tff(f13882,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),nil(X0),X3,X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13571,f641])).
% 4.68/1.08 tff(f13881,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),nil(X0),X3,X3) | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13571,f641])).
% 4.68/1.08 tff(f13571,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),nil(X0),X1,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f596,f13398])).
% 4.68/1.08 tff(f13866,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (aa(X1,list(X0),X2,X3) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != rev(X0,maps(X1,X0,X2,X4))) )),
% 4.68/1.08 inference(superposition,[],[f452,f13525])).
% 4.68/1.08 tff(f13864,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X2 | nil(X0) != rev(X0,dropWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f376,f13525])).
% 4.68/1.08 tff(f13863,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X3 | nil(X0) != X2 | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f12208,f13525])).
% 4.68/1.08 tff(f13879,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | rev(X0,X1) = rev(X0,append(X0,X2,X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13860,f328])).
% 4.68/1.08 tff(f13860,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,append(X0,X2,X1)) | nil(X0) != rev(X0,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f378,f13525])).
% 4.68/1.08 tff(f13858,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | X1 = X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1358,f13525])).
% 4.68/1.08 tff(f13845,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,X2)) | distinct(X0,append(X0,X2,X3)) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f4569,f13525])).
% 4.68/1.08 tff(f13839,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) != rotate1(X0,cons(X0,X1,X2)) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f4415,f13525])).
% 4.68/1.08 tff(f13828,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,X2,X3) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f2133,f13525])).
% 4.68/1.08 tff(f13822,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2164,f13525])).
% 4.68/1.08 tff(f13821,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1094,f13525])).
% 4.68/1.08 tff(f13820,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1096,f13525])).
% 4.68/1.08 tff(f13817,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f429,f13525])).
% 4.68/1.08 tff(f13816,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),X1,X1) | nil(X0) != rev(X0,takeWhile(X0,X2,X3))) )),
% 4.68/1.08 inference(superposition,[],[f1093,f13525])).
% 4.68/1.08 tff(f13815,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,X1) | nil(X0) != rev(X0,takeWhile(X0,X2,X3))) )),
% 4.68/1.08 inference(superposition,[],[f1095,f13525])).
% 4.68/1.08 tff(f13787,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != X1 | nil(X0) != rev(X0,append(X0,X2,cons(X0,X3,X4)))) )),
% 4.68/1.08 inference(superposition,[],[f6502,f13525])).
% 4.68/1.08 tff(f13777,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,X2,nil(X0),X3,X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2931,f13525])).
% 4.68/1.08 tff(f13776,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,nil(X0),X2,X3,X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2892,f13525])).
% 4.68/1.08 tff(f13771,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X3,X3) | nil(X0) != X1 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2716,f13525])).
% 4.68/1.08 tff(f13770,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,X1) | nil(X0) != X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2715,f13525])).
% 4.68/1.08 tff(f13769,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,X3,X3) | nil(X0) != X1 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2714,f13525])).
% 4.68/1.08 tff(f13768,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,X1,X1) | nil(X0) != X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2713,f13525])).
% 4.68/1.08 tff(f13766,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X3,X1) | nil(X0) != X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2648,f13525])).
% 4.68/1.08 tff(f13764,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,X1,X3) | nil(X0) != X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2646,f13525])).
% 4.68/1.08 tff(f13761,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != X1 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f2570,f13525])).
% 4.68/1.08 tff(f13749,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,X1,X2,cons(X0,X3,X1),X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f538,f13525])).
% 4.68/1.08 tff(f13748,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,X1,X2,cons(X0,X3,X1),X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f534,f13525])).
% 4.68/1.08 tff(f13747,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),X1,X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f532,f13525])).
% 4.68/1.08 tff(f13746,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X3,append(X0,X3,X1)) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f532,f13525])).
% 4.68/1.08 tff(f13745,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,X1,X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f530,f13525])).
% 4.68/1.08 tff(f13744,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,append(X0,X3,X1),X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f530,f13525])).
% 4.68/1.08 tff(f13743,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | sP2(X0,X4,X2,X1,X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f479,f13525])).
% 4.68/1.08 tff(f13742,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | sP1(X0,X4,X2,X1,X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f471,f13525])).
% 4.68/1.08 tff(f13741,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,X2,X4,X3,X1) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f463,f13525])).
% 4.68/1.08 tff(f13740,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,X4,X2,X1,X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f463,f13525])).
% 4.68/1.08 tff(f13739,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | X2 = X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f445,f13525])).
% 4.68/1.08 tff(f13738,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | X2 = X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f445,f13525])).
% 4.68/1.08 tff(f13737,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X1 | X1 = X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f443,f13525])).
% 4.68/1.08 tff(f13736,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X1 | X1 = X3 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f443,f13525])).
% 4.68/1.08 tff(f13734,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = append(X0,X1,X3) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f429,f13525])).
% 4.68/1.08 tff(f13731,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | nil(X0) = X1 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f409,f13525])).
% 4.68/1.08 tff(f13726,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | nil(X0) != rev(X0,X2) | append(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13525,f823])).
% 4.68/1.08 tff(f13873,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13725,f3119])).
% 4.68/1.08 tff(f13725,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f13525,f2662])).
% 4.68/1.08 tff(f13872,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13724,f3119])).
% 4.68/1.08 tff(f13724,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f13525,f9121])).
% 4.68/1.08 tff(f13871,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13723,f3119])).
% 4.68/1.08 tff(f13723,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f13525,f10657])).
% 4.68/1.08 tff(f13721,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (aa(X1,list(X0),X2,X3) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != rev(X0,maps(X1,X0,X2,X4))) )),
% 4.68/1.08 inference(superposition,[],[f13525,f452])).
% 4.68/1.08 tff(f13719,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X2 | nil(X0) != rev(X0,dropWhile(X0,X1,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13525,f376])).
% 4.68/1.08 tff(f13718,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X3 | nil(X0) != rev(X0,X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13525,f12208])).
% 4.68/1.08 tff(f13870,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | rev(X0,X1) = rev(X0,append(X0,X2,X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13715,f328])).
% 4.68/1.08 tff(f13715,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,append(X0,X2,X1)) | nil(X0) != rev(X0,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13525,f378])).
% 4.68/1.08 tff(f13713,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f13525,f2164])).
% 4.68/1.08 tff(f13711,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != rev(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f13525,f429])).
% 4.68/1.08 tff(f13709,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != rev(X0,X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f13525,f2570])).
% 4.68/1.08 tff(f13525,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,X1) = X2 | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f13398,f328])).
% 4.68/1.08 tff(f13697,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(list(X0)),X4 : list(X0),X5 : list(X1)] : (maps(list(X0),X1,aa(X0,fun(list(X0),list(X1)),X2,X3),cons(list(X0),X4,X6)) = append(X1,list_case(list(X1),X0,X5,X2,cons(X0,X3,X4)),maps(list(X0),X1,aa(X0,fun(list(X0),list(X1)),X2,X3),X6))) )),
% 4.68/1.08 inference(superposition,[],[f452,f487])).
% 4.68/1.08 tff(f13696,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),bool)),X4 : bool,X5 : list(list(X0))] : (pp(list_case(bool,X0,X4,X1,cons(X0,X2,X3))) | nil(list(X0)) = takeWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),cons(list(X0),X3,X5))) )),
% 4.68/1.08 inference(superposition,[],[f436,f487])).
% 4.68/1.08 tff(f13695,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),bool)),X4 : bool,X5 : list(list(X0))] : (~pp(list_case(bool,X0,X4,X1,cons(X0,X2,X3))) | dropWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),cons(list(X0),X3,X5)) = dropWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),X5)) )),
% 4.68/1.08 inference(superposition,[],[f433,f487])).
% 4.68/1.08 tff(f13694,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),bool)),X4 : bool,X5 : list(list(X0))] : (pp(list_case(bool,X0,X4,X1,cons(X0,X2,X3))) | cons(list(X0),X3,X5) = dropWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),cons(list(X0),X3,X5))) )),
% 4.68/1.08 inference(superposition,[],[f434,f487])).
% 4.68/1.08 tff(f13693,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),bool)),X4 : bool,X5 : list(list(X0))] : (~pp(list_case(bool,X0,X4,X1,cons(X0,X2,X3))) | takeWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),cons(list(X0),X3,X5)) = cons(list(X0),X3,takeWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),X5))) )),
% 4.68/1.08 inference(superposition,[],[f435,f487])).
% 4.68/1.08 tff(f13692,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,fun(list(X0),bool)),X6 : list(list(X0)),X4 : bool,X5 : list(list(X0))] : (pp(list_case(bool,X0,X4,X1,cons(X0,X2,X3))) | takeWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),X5) = takeWhile(list(X0),aa(X0,fun(list(X0),bool),X1,X2),append(list(X0),X5,cons(list(X0),X3,X6)))) )),
% 4.68/1.08 inference(superposition,[],[f453,f487])).
% 4.68/1.08 tff(f13691,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),X1)),X3 : X0,X6 : X1,X4 : list(X0),X5 : X1] : (list_case(X1,X0,X5,X2,cons(X0,X3,X4)) = list_case(X1,X0,X6,X2,cons(X0,X3,X4))) )),
% 4.68/1.08 inference(superposition,[],[f487,f487])).
% 4.68/1.08 tff(f13708,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X4 : list(X0),X5 : list(X1)] : (nil(X1) = list_case(list(X1),X0,X5,X2,cons(X0,X3,X4)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13690,f326])).
% 4.68/1.08 tff(f13690,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X4 : list(X0),X5 : list(X1)] : (rev(X1,nil(X1)) = list_case(list(X1),X0,X5,X2,cons(X0,X3,X4)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(superposition,[],[f487,f631])).
% 4.68/1.08 tff(f13689,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0),X5 : list(X1)] : (list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) = rev(X1,rev(X1,X5)) | aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4) != X5) )),
% 4.68/1.08 inference(superposition,[],[f487,f823])).
% 4.68/1.08 tff(f13707,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0)] : (nil(X1) = list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13688,f565])).
% 4.68/1.08 tff(f13688,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0),X5 : X1] : (list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) = butlast(X1,insert(X1,X5,nil(X1))) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(superposition,[],[f487,f2662])).
% 4.68/1.08 tff(f13706,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0)] : (nil(X1) = list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13687,f334])).
% 4.68/1.08 tff(f13687,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0),X5 : fun(X1,bool)] : (list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) = takeWhile(X1,X5,nil(X1)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(superposition,[],[f487,f9121])).
% 4.68/1.08 tff(f13705,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0)] : (nil(X1) = list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13686,f333])).
% 4.68/1.08 tff(f13686,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),list(X1))),X3 : X0,X6 : list(X1),X4 : list(X0),X5 : fun(X1,bool)] : (dropWhile(X1,X5,nil(X1)) = list_case(list(X1),X0,X6,X2,cons(X0,X3,X4)) | nil(X1) != aa(list(X0),list(X1),aa(X0,fun(list(X0),list(X1)),X2,X3),X4)) )),
% 4.68/1.08 inference(superposition,[],[f487,f10657])).
% 4.68/1.08 tff(f13685,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),fun(list(list(X0)),X1))),X3 : X0,X6 : X1,X7 : list(list(X0)),X4 : list(X0),X5 : fun(list(list(X0)),X1)] : (list_case(X1,list(X0),X6,aa(X0,fun(list(X0),fun(list(list(X0)),X1)),X2,X3),cons(list(X0),X4,X7)) = aa(list(list(X0)),X1,list_case(fun(list(list(X0)),X1),X0,X5,X2,cons(X0,X3,X4)),X7)) )),
% 4.68/1.08 inference(superposition,[],[f487,f487])).
% 4.68/1.08 tff(f13704,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : X1,X5 : list(X1)] : (nil(X0) = aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13684,f326])).
% 4.68/1.08 tff(f13684,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : X1,X5 : list(X1)] : (rev(X0,nil(X0)) = aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(superposition,[],[f487,f631])).
% 4.68/1.08 tff(f13683,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X6 : list(X0),X4 : X1,X5 : list(X1)] : (aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) = rev(X0,rev(X0,X6)) | list_case(list(X0),X1,X2,X3,cons(X1,X4,X5)) != X6) )),
% 4.68/1.08 inference(superposition,[],[f487,f823])).
% 4.68/1.08 tff(f13703,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : X1,X5 : list(X1)] : (nil(X0) = aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13682,f565])).
% 4.68/1.08 tff(f13682,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X6 : X0,X4 : X1,X5 : list(X1)] : (aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) = butlast(X0,insert(X0,X6,nil(X0))) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(superposition,[],[f487,f2662])).
% 4.68/1.08 tff(f13702,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : X1,X5 : list(X1)] : (nil(X0) = aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13681,f334])).
% 4.68/1.08 tff(f13681,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X6 : fun(X0,bool),X4 : X1,X5 : list(X1)] : (aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) = takeWhile(X0,X6,nil(X0)) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(superposition,[],[f487,f9121])).
% 4.68/1.08 tff(f13701,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : X1,X5 : list(X1)] : (nil(X0) = aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13680,f333])).
% 4.68/1.08 tff(f13680,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X6 : fun(X0,bool),X4 : X1,X5 : list(X1)] : (dropWhile(X0,X6,nil(X0)) = aa(list(X1),list(X0),aa(X1,fun(list(X1),list(X0)),X3,X4),X5) | nil(X0) != list_case(list(X0),X1,X2,X3,cons(X1,X4,X5))) )),
% 4.68/1.08 inference(superposition,[],[f487,f10657])).
% 4.68/1.08 tff(f13700,plain,(
% 4.68/1.08 ( ! [X4 : $tType,X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X6 : fun(X0,fun(list(X0),X4)),X5 : X4] : (aa(list(X0),X4,aa(X0,fun(list(X0),X4),X6,X1),X2) = list_case(X4,X0,X5,X6,X3) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13678,f328])).
% 4.68/1.08 tff(f13678,plain,(
% 4.68/1.08 ( ! [X4 : $tType,X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X6 : fun(X0,fun(list(X0),X4)),X5 : X4] : (aa(list(X0),X4,aa(X0,fun(list(X0),X4),X6,X1),X2) = list_case(X4,X0,X5,X6,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f487,f823])).
% 4.68/1.08 tff(f13674,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : $tType,X3 : X2,X1 : list(X0),X4 : fun(X0,fun(list(X0),X2))] : (list_case(X2,X0,X3,X4,X1) = aa(list(X0),X2,aa(X0,fun(list(X0),X2),X4,sK7(X0,X1)),sK8(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f487,f351])).
% 4.68/1.08 tff(f13673,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : $tType,X3 : X2,X1 : list(X0),X4 : fun(X0,fun(list(X0),X2))] : (aa(list(X0),X2,aa(X0,fun(list(X0),X2),X4,sK3(X0,X1)),sK4(X0,X1)) = list_case(X2,X0,X3,X4,X1) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f487,f347])).
% 4.68/1.08 tff(f13670,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : $tType,X3 : X2,X1 : X0,X4 : fun(X0,fun(list(X0),X2))] : (aa(list(X0),X2,aa(X0,fun(list(X0),X2),X4,X1),nil(X0)) = list_case(X2,X0,X3,X4,insert(X0,X1,nil(X0)))) )),
% 4.68/1.08 inference(superposition,[],[f487,f335])).
% 4.68/1.08 tff(f13669,plain,(
% 4.68/1.08 ( ! [X4 : $tType,X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X6 : fun(X0,fun(list(X0),X4)),X5 : X4] : (aa(list(X0),X4,aa(X0,fun(list(X0),X4),X6,X1),append(X0,X2,X3)) = list_case(X4,X0,X5,X6,append(X0,cons(X0,X1,X2),X3))) )),
% 4.68/1.08 inference(superposition,[],[f487,f430])).
% 4.68/1.08 tff(f487,plain,(
% 4.68/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,fun(list(X1),X0)),X5 : X0] : (list_case(X0,X1,X5,X4,cons(X1,X3,X2)) = aa(list(X1),X0,aa(X1,fun(list(X1),X0),X4,X3),X2)) )),
% 4.68/1.08 inference(cnf_transformation,[],[f200])).
% 4.68/1.08 tff(f200,plain,(
% 4.68/1.08 ! [X0 : $tType,X1 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,fun(list(X1),X0)),X5 : X0] : list_case(X0,X1,X5,X4,cons(X1,X3,X2)) = aa(list(X1),X0,aa(X1,fun(list(X1),X0),X4,X3),X2)),
% 4.68/1.08 inference(rectify,[],[f19])).
% 4.68/1.08 tff(f19,axiom,(
% 4.68/1.08 ! [X0 : $tType,X1 : $tType,X9 : list(X1),X10 : X1,X23 : fun(X1,fun(list(X1),X0)),X24 : X0] : list_case(X0,X1,X24,X23,cons(X1,X10,X9)) = aa(list(X1),X0,aa(X1,fun(list(X1),X0),X23,X10),X9)),
% 4.68/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_list_Osimps_I5_J)).
% 4.68/1.08 tff(f13650,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = rev(X0,X3) | nil(X0) != X2 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12208,f13398])).
% 4.68/1.08 tff(f13648,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,append(X0,X2,X1)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f378,f13398])).
% 4.68/1.08 tff(f13646,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | rev(X0,X1) = X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f1358,f13398])).
% 4.68/1.08 tff(f13633,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,X2)) | distinct(X0,append(X0,X2,rev(X0,X3))) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f4569,f13398])).
% 4.68/1.08 tff(f13627,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != append(X0,X2,rev(X0,X3)) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f4415,f13398])).
% 4.68/1.08 tff(f13616,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,X2,rev(X0,X3)) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2133,f13398])).
% 4.68/1.08 tff(f13610,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,rev(X0,X2)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2164,f13398])).
% 4.68/1.08 tff(f13609,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),rev(X0,X3),X2,takeWhile(X0,X1,X2)) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1094,f13398])).
% 4.68/1.08 tff(f13608,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,X3),dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1096,f13398])).
% 4.68/1.08 tff(f13606,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,rev(X0,X3))) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f429,f13398])).
% 4.68/1.08 tff(f13598,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,rev(X0,X2),nil(X0),X3,X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2931,f13398])).
% 4.68/1.08 tff(f13597,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,nil(X0),rev(X0,X2),X3,X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2892,f13398])).
% 4.68/1.08 tff(f13592,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X1,X3,X3) | nil(X0) != X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2716,f13398])).
% 4.68/1.08 tff(f13591,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,rev(X0,X2),X1,X1) | nil(X0) != X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2715,f13398])).
% 4.68/1.08 tff(f13590,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,rev(X0,X2),X3,X3) | nil(X0) != X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2714,f13398])).
% 4.68/1.08 tff(f13589,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X3,X1,X1) | nil(X0) != X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2713,f13398])).
% 4.68/1.08 tff(f13587,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X1,X3,X1) | nil(X0) != X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2648,f13398])).
% 4.68/1.08 tff(f13585,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,rev(X0,X2),X1,X3) | nil(X0) != X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2646,f13398])).
% 4.68/1.08 tff(f13582,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | nil(X0) != X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2570,f13398])).
% 4.68/1.08 tff(f13570,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,X1,rev(X0,X2),cons(X0,X3,X1),X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f538,f13398])).
% 4.68/1.08 tff(f13569,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,X1,rev(X0,X2),cons(X0,X3,X1),X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f534,f13398])).
% 4.68/1.08 tff(f13568,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,rev(X0,X2),X3),X1,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f532,f13398])).
% 4.68/1.08 tff(f13567,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X1,X3,append(X0,X3,X1)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f532,f13398])).
% 4.68/1.08 tff(f13566,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,rev(X0,X2),X3),X3,X1,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f530,f13398])).
% 4.68/1.08 tff(f13565,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,rev(X0,X2),append(X0,X3,X1),X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f530,f13398])).
% 4.68/1.08 tff(f13564,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | sP2(X0,X4,rev(X0,X2),X1,X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f479,f13398])).
% 4.68/1.08 tff(f13563,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | sP1(X0,X4,rev(X0,X2),X1,X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f471,f13398])).
% 4.68/1.08 tff(f13562,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,rev(X0,X2),X4,X3,X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f463,f13398])).
% 4.68/1.08 tff(f13561,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,X4,rev(X0,X2),X1,X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f463,f13398])).
% 4.68/1.08 tff(f13560,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | rev(X0,X2) = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f445,f13398])).
% 4.68/1.08 tff(f13559,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | rev(X0,X2) = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f445,f13398])).
% 4.68/1.08 tff(f13558,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,rev(X0,X2)) != X1 | X1 = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f443,f13398])).
% 4.68/1.08 tff(f13557,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,rev(X0,X2)) != X1 | X1 = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f443,f13398])).
% 4.68/1.08 tff(f13555,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) = append(X0,X1,append(X0,rev(X0,X2),X3)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f429,f13398])).
% 4.68/1.08 tff(f13552,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | nil(X0) = X1 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f409,f13398])).
% 4.68/1.08 tff(f13542,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | nil(X0) != X2 | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13398,f823])).
% 4.68/1.08 tff(f13666,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13541,f5718])).
% 4.68/1.08 tff(f13541,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13398,f2662])).
% 4.68/1.08 tff(f13665,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13540,f5718])).
% 4.68/1.08 tff(f13540,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13398,f9121])).
% 4.68/1.08 tff(f13664,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13539,f5718])).
% 4.68/1.08 tff(f13539,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13398,f10657])).
% 4.68/1.08 tff(f13538,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = rev(X0,X3) | nil(X0) != X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f12208])).
% 4.68/1.08 tff(f13536,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,append(X0,X2,X1)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f378])).
% 4.68/1.08 tff(f13534,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,rev(X0,X2)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f2164])).
% 4.68/1.08 tff(f13533,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,rev(X0,X3))) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13398,f429])).
% 4.68/1.08 tff(f13532,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | nil(X0) != X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f13398,f2570])).
% 4.68/1.08 tff(f13661,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) = X3 | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13530,f328])).
% 4.68/1.08 tff(f13530,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,rev(X0,rev(X0,X2))) = X3 | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f823])).
% 4.68/1.08 tff(f13524,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) = X3 | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f823])).
% 4.68/1.08 tff(f13519,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,append(X0,X2,rev(X0,X1))) = X3 | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f13398,f1994])).
% 4.68/1.08 tff(f13517,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,rev(X0,X2)) = X3 | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f641])).
% 4.68/1.08 tff(f13516,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,rev(X0,X2)) = X3 | nil(X0) != X1 | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f13398,f641])).
% 4.68/1.08 tff(f13398,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = X2 | nil(X0) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13303,f328])).
% 4.68/1.08 tff(f13303,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = append(X0,X2,rev(X0,X1)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2570])).
% 4.68/1.08 tff(f13515,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,sK5(X0,cons(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0)))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13509,f370])).
% 4.68/1.08 tff(f13509,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,sK5(X0,cons(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0))) | nil(X0) = cons(X0,X1,rev(X0,cons(X0,X2,X3)))) )),
% 4.68/1.08 inference(superposition,[],[f6509,f13453])).
% 4.68/1.08 tff(f13514,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13506,f326])).
% 4.68/1.08 tff(f13506,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13453,f631])).
% 4.68/1.08 tff(f13505,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | sK6(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3)))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13453,f823])).
% 4.68/1.08 tff(f13504,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13453,f2662])).
% 4.68/1.08 tff(f13503,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13453,f9121])).
% 4.68/1.08 tff(f13502,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13453,f10657])).
% 4.68/1.08 tff(f13513,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,X4) = X2 | cons(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13500,f328])).
% 4.68/1.08 tff(f13500,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,X4))) = X2 | cons(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13453,f823])).
% 4.68/1.08 tff(f13512,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,X3)) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13495,f328])).
% 4.68/1.08 tff(f13495,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13453,f823])).
% 4.68/1.08 tff(f13490,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13453,f641])).
% 4.68/1.08 tff(f13489,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13453,f641])).
% 4.68/1.08 tff(f13511,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13487,f328])).
% 4.68/1.08 tff(f13487,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13453,f823])).
% 4.68/1.08 tff(f13483,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,cons(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13453,f351])).
% 4.68/1.08 tff(f13482,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,cons(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13453,f347])).
% 4.68/1.08 tff(f13478,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13453,f430])).
% 4.68/1.08 tff(f13453,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK6(X0,cons(X0,X1,rev(X0,cons(X0,X2,X3)))) = X2) )),
% 4.68/1.08 inference(superposition,[],[f13326,f2164])).
% 4.68/1.08 tff(f13477,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,sK5(X0,append(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0)))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13470,f5505])).
% 4.68/1.08 tff(f13470,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,sK5(X0,append(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0))) | nil(X0) = append(X0,X1,rev(X0,cons(X0,X2,X3)))) )),
% 4.68/1.08 inference(superposition,[],[f6509,f13326])).
% 4.68/1.08 tff(f13476,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = X2 | nil(X0) != sK6(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13467,f326])).
% 4.68/1.08 tff(f13467,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK6(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13326,f631])).
% 4.68/1.08 tff(f13466,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | sK6(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3)))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13326,f823])).
% 4.68/1.08 tff(f13465,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != sK6(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13326,f2662])).
% 4.68/1.08 tff(f13464,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13326,f9121])).
% 4.68/1.08 tff(f13463,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f13326,f10657])).
% 4.68/1.08 tff(f13475,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sK6(X0,X4) = X2 | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13461,f328])).
% 4.68/1.08 tff(f13461,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,X4))) = X2 | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f13326,f823])).
% 4.68/1.08 tff(f13452,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sK6(X0,append(X0,X1,append(X0,X2,rev(X0,cons(X0,X3,X4))))) = X3) )),
% 4.68/1.08 inference(superposition,[],[f13326,f429])).
% 4.68/1.08 tff(f13474,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,X3)) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13448,f328])).
% 4.68/1.08 tff(f13448,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,rev(X0,rev(X0,X3)))) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13326,f823])).
% 4.68/1.08 tff(f13443,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13326,f641])).
% 4.68/1.08 tff(f13442,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13326,f641])).
% 4.68/1.08 tff(f13473,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13440,f328])).
% 4.68/1.08 tff(f13440,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,rev(X0,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f13326,f823])).
% 4.68/1.08 tff(f13436,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13326,f351])).
% 4.68/1.08 tff(f13435,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13326,f347])).
% 4.68/1.08 tff(f13431,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,append(X0,X4,rev(X0,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 4.68/1.08 inference(superposition,[],[f13326,f430])).
% 4.68/1.08 tff(f13326,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,append(X0,X3,rev(X0,cons(X0,X1,X2)))) = X1) )),
% 4.68/1.08 inference(superposition,[],[f7357,f1994])).
% 4.68/1.08 tff(f13380,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) = append(X0,rev(X0,X4),insert(X0,X3,nil(X0)))) )),
% 4.68/1.08 inference(superposition,[],[f8109,f1994])).
% 4.68/1.08 tff(f13379,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (insert(X0,X3,nil(X0)) != append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f7892,f1994])).
% 4.68/1.08 tff(f13378,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X2,rev(X0,X1)) != rev(X0,cons(X0,X3,X4)) | append(X0,X1,rev(X0,X2)) != X4) )),
% 4.68/1.08 inference(superposition,[],[f7847,f1994])).
% 4.68/1.08 tff(f13430,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,append(X0,cons(X0,X3,X2),rev(X0,X1))) != X4 | append(X0,X1,rev(X0,X2)) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13377,f430])).
% 4.68/1.08 tff(f13377,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,append(X0,X2,rev(X0,X1)))) != X4 | append(X0,X1,rev(X0,X2)) != X4) )),
% 4.68/1.08 inference(superposition,[],[f7841,f1994])).
% 4.68/1.08 tff(f13429,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,rev(X0,X2)) != rev(X0,append(X0,cons(X0,X3,X2),rev(X0,X1)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13376,f430])).
% 4.68/1.08 tff(f13376,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,rev(X0,X2)) != rev(X0,cons(X0,X3,append(X0,X2,rev(X0,X1))))) )),
% 4.68/1.08 inference(superposition,[],[f7837,f1994])).
% 4.68/1.08 tff(f13375,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,append(X0,X1,rev(X0,X2))) = sK6(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f7362,f1994])).
% 4.68/1.08 tff(f13374,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,append(X0,X1,rev(X0,X2))) = sK6(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f7361,f1994])).
% 4.68/1.08 tff(f13373,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | nil(X0) = X3 | ~null(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f7066,f1994])).
% 4.68/1.08 tff(f13372,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | nil(X0) = append(X0,X1,rev(X0,X2)) | ~null(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f7022,f1994])).
% 4.68/1.08 tff(f13371,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X3 | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f7010,f1994])).
% 4.68/1.08 tff(f13370,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f7009,f1994])).
% 4.68/1.08 tff(f13369,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != append(X0,X2,rev(X0,X1)) | rev(X0,X4) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f6460,f1994])).
% 4.68/1.08 tff(f13368,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,append(X0,X2,rev(X0,X1))) != X4 | rev(X0,X4) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f6448,f1994])).
% 4.68/1.08 tff(f13367,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f6117,f1994])).
% 4.68/1.08 tff(f13366,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,append(X0,X2,rev(X0,X1))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f5718,f1994])).
% 4.68/1.08 tff(f13365,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != append(X0,X2,rev(X0,X1)) | cons(X0,X4,X3) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f5614,f1994])).
% 4.68/1.08 tff(f13364,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != append(X0,X2,rev(X0,X1)) | cons(X0,X4,append(X0,X1,rev(X0,X2))) != X3) )),
% 4.68/1.08 inference(superposition,[],[f5614,f1994])).
% 4.68/1.08 tff(f13363,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X2,rev(X0,X1))) = sK7(X0,append(X0,X1,rev(X0,X2))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f5586,f1994])).
% 4.68/1.08 tff(f13362,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X2,rev(X0,X1))) = sK3(X0,append(X0,X1,rev(X0,X2))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f5585,f1994])).
% 4.68/1.08 tff(f13361,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X2,rev(X0,X1)) | cons(X0,X3,X4) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f5323,f1994])).
% 4.68/1.08 tff(f13428,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,cons(X0,X3,X1),rev(X0,X2)) = rev(X0,rotate1(X0,append(X0,cons(X0,X3,X2),rev(X0,X1))))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13427,f430])).
% 4.68/1.08 tff(f13427,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,append(X0,X1,rev(X0,X2))) = rev(X0,rotate1(X0,append(X0,cons(X0,X3,X2),rev(X0,X1))))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13360,f430])).
% 4.68/1.08 tff(f13360,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,append(X0,X1,rev(X0,X2))) = rev(X0,rotate1(X0,cons(X0,X3,append(X0,X2,rev(X0,X1)))))) )),
% 4.68/1.08 inference(superposition,[],[f5095,f1994])).
% 4.68/1.08 tff(f13426,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,append(X0,X2,rev(X0,X1)),insert(X0,X3,nil(X0))) = append(X0,X2,rev(X0,cons(X0,X3,X1)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13425,f1994])).
% 4.68/1.08 tff(f13425,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,append(X0,X2,rev(X0,X1)),insert(X0,X3,nil(X0))) = rev(X0,append(X0,cons(X0,X3,X1),rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13359,f430])).
% 4.68/1.08 tff(f13359,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,append(X0,X1,rev(X0,X2)))) = append(X0,append(X0,X2,rev(X0,X1)),insert(X0,X3,nil(X0)))) )),
% 4.68/1.08 inference(superposition,[],[f4619,f1994])).
% 4.68/1.08 tff(f13358,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = rev(X0,dropWhile(X0,X3,append(X0,X1,rev(X0,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f3107,f1994])).
% 4.68/1.08 tff(f13357,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X1,rev(X0,X2))) = hd(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f1994])).
% 4.68/1.08 tff(f13356,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X2,rev(X0,X1))) = hd(X0,append(X0,X1,rev(X0,X2))) | nil(X0) = rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f1994])).
% 4.68/1.08 tff(f13355,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | nil(X0) != append(X0,X1,rev(X0,X2)) | distinct(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1021,f1994])).
% 4.68/1.08 tff(f13354,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | distinct(X0,append(X0,X1,rev(X0,X2))) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1020,f1994])).
% 4.68/1.08 tff(f13353,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | ~distinct(X0,append(X0,X1,rev(X0,X2))) | distinct(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1019,f1994])).
% 4.68/1.08 tff(f13352,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | distinct(X0,append(X0,X1,rev(X0,X2))) | ~distinct(X0,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1018,f1994])).
% 4.68/1.08 tff(f13351,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,append(X0,X2,rev(X0,X1))) != X3 | cons(X0,X4,X3) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f918,f1994])).
% 4.68/1.08 tff(f13350,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,X2,rev(X0,X1))) | nil(X0) != X3 | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f876,f1994])).
% 4.68/1.08 tff(f13349,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rev(X0,X1)) | distinct(X0,X3) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f831,f1994])).
% 4.68/1.08 tff(f13348,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,X2,rev(X0,X1))) | distinct(X0,X3) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f824,f1994])).
% 4.68/1.08 tff(f13347,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,rev(X0,X1))) = X3 | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f823,f1994])).
% 4.68/1.08 tff(f13346,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,X2,rev(X0,X1))) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f787,f1994])).
% 4.68/1.08 tff(f13345,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f772,f1994])).
% 4.68/1.08 tff(f13344,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rev(X0,X1)) | distinct(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f768,f1994])).
% 4.68/1.08 tff(f13343,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f641,f1994])).
% 4.68/1.08 tff(f13342,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f641,f1994])).
% 4.68/1.08 tff(f13341,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) != X3 | rev(X0,X3) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f590,f1994])).
% 4.68/1.08 tff(f13340,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f583,f1994])).
% 4.68/1.08 tff(f13339,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) != append(X0,X2,rev(X0,X1)) | cons(X0,X3,nil(X0)) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f423,f1994])).
% 4.68/1.08 tff(f13338,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) = X3) )),
% 4.68/1.08 inference(superposition,[],[f421,f1994])).
% 4.68/1.08 tff(f13337,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) = X3) )),
% 4.68/1.08 inference(superposition,[],[f421,f1994])).
% 4.68/1.08 tff(f13424,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X3),append(X0,X2,rev(X0,X1))) = rev(X0,append(X0,X1,append(X0,rev(X0,X2),X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13336,f429])).
% 4.68/1.08 tff(f13336,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,append(X0,X1,rev(X0,X2)),X3)) = append(X0,rev(X0,X3),append(X0,X2,rev(X0,X1)))) )),
% 4.68/1.08 inference(superposition,[],[f378,f1994])).
% 4.68/1.08 tff(f13423,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,X1,rev(X0,X2)))) = append(X0,X2,rev(X0,append(X0,X3,X1)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13422,f378])).
% 4.68/1.08 tff(f13422,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,X1,rev(X0,X2)))) = append(X0,X2,append(X0,rev(X0,X1),rev(X0,X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13335,f429])).
% 4.68/1.08 tff(f13335,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,X1,rev(X0,X2)))) = append(X0,append(X0,X2,rev(X0,X1)),rev(X0,X3))) )),
% 4.68/1.08 inference(superposition,[],[f378,f1994])).
% 4.68/1.08 tff(f13334,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rev(X0,X1)) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f363,f1994])).
% 4.68/1.08 tff(f13333,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,X2,rev(X0,X1))) | ~distinct(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f358,f1994])).
% 4.68/1.08 tff(f13332,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,X2,rev(X0,X1))) | distinct(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f357,f1994])).
% 4.68/1.08 tff(f13331,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X2,rev(X0,X1))) = hd(X0,append(X0,X1,rev(X0,X2))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f344,f1994])).
% 4.68/1.08 tff(f13330,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X1,rev(X0,X2))) = hd(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f343,f1994])).
% 4.68/1.08 tff(f13420,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13322,f326])).
% 4.68/1.08 tff(f13322,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,X2,rev(X0,X1)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f631])).
% 4.68/1.08 tff(f13321,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = append(X0,X2,rev(X0,X1)) | rev(X0,append(X0,X1,rev(X0,X2))) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1994,f823])).
% 4.68/1.08 tff(f13419,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13320,f565])).
% 4.68/1.08 tff(f13320,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2662])).
% 4.68/1.08 tff(f13418,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13319,f334])).
% 4.68/1.08 tff(f13319,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = takeWhile(X0,X3,nil(X0)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f9121])).
% 4.68/1.08 tff(f13417,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13318,f333])).
% 4.68/1.08 tff(f13318,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = dropWhile(X0,X3,nil(X0)) | nil(X0) != rev(X0,append(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f10657])).
% 4.68/1.08 tff(f13317,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f583])).
% 4.68/1.08 tff(f13316,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1994,f641])).
% 4.68/1.08 tff(f13315,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1994,f641])).
% 4.68/1.08 tff(f13416,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13314,f328])).
% 4.68/1.08 tff(f13314,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,nil(X0))) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f631])).
% 4.68/1.08 tff(f13415,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X2,rev(X0,X1)) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13313,f328])).
% 4.68/1.08 tff(f13313,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = rev(X0,rev(X0,rev(X0,X3))) | append(X0,X1,rev(X0,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1994,f823])).
% 4.68/1.08 tff(f13414,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13413,f326])).
% 4.68/1.08 tff(f13413,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13312,f565])).
% 4.68/1.08 tff(f13312,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = rev(X0,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2662])).
% 4.68/1.08 tff(f13412,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13411,f326])).
% 4.68/1.08 tff(f13411,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13311,f334])).
% 4.68/1.08 tff(f13311,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = rev(X0,takeWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f9121])).
% 4.68/1.08 tff(f13410,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13409,f326])).
% 4.68/1.08 tff(f13409,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,X2,rev(X0,X1)) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13310,f333])).
% 4.68/1.08 tff(f13310,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X2,rev(X0,X1)) = rev(X0,dropWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f10657])).
% 4.68/1.08 tff(f13408,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,rev(X0,takeWhile(X0,X1,X2))) = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13309,f328])).
% 4.68/1.08 tff(f13309,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = append(X0,X3,rev(X0,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1994,f12208])).
% 4.68/1.08 tff(f13404,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,rev(X0,takeWhile(X0,X1,rev(X0,X2)))) = X2 | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13308,f328])).
% 4.68/1.08 tff(f13308,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X2)) = append(X0,X2,rev(X0,takeWhile(X0,X1,rev(X0,X2)))) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f1994,f3550])).
% 4.68/1.08 tff(f13400,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) = rev(X0,cons(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13399,f2238])).
% 4.68/1.08 tff(f13399,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,X2,insert(X0,X1,nil(X0))) = rev(X0,cons(X0,X1,rev(X0,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13305,f1383])).
% 4.68/1.08 tff(f13305,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,rev(X0,X2))) = append(X0,X2,rev(X0,insert(X0,X1,nil(X0))))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2164])).
% 4.68/1.08 tff(f13304,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,rev(X0,append(X0,X1,X2))) = rev(X0,append(X0,X1,append(X0,X2,rev(X0,X3))))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f429])).
% 4.68/1.08 tff(f13302,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = append(X0,X2,rev(X0,X1)) | nil(X0) != rev(X0,X2)) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2571])).
% 4.68/1.08 tff(f13397,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = append(X0,X1,rev(X0,X2)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13396,f331])).
% 4.68/1.08 tff(f13396,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,nil(X0))) = append(X0,X1,rev(X0,X2)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13301,f326])).
% 4.68/1.08 tff(f13301,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X2)) = rev(X0,append(X0,X2,rev(X0,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1994,f631])).
% 4.68/1.08 tff(f13395,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X2)) = append(X0,X1,rev(X0,X3)) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13300,f328])).
% 4.68/1.08 tff(f13300,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,rev(X0,rev(X0,X2)))) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1994,f823])).
% 4.68/1.08 tff(f13394,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X1,rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13393,f331])).
% 4.68/1.08 tff(f13393,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13299,f565])).
% 4.68/1.08 tff(f13299,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,butlast(X0,insert(X0,X2,nil(X0))))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1994,f2662])).
% 4.68/1.08 tff(f13392,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X1,rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13391,f331])).
% 4.68/1.08 tff(f13391,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13298,f334])).
% 4.68/1.08 tff(f13298,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,takeWhile(X0,X2,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1994,f9121])).
% 4.68/1.08 tff(f13390,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = append(X0,X1,rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13389,f331])).
% 4.68/1.08 tff(f13389,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13297,f333])).
% 4.68/1.08 tff(f13297,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X3)) = rev(X0,append(X0,X3,dropWhile(X0,X2,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1994,f10657])).
% 4.68/1.08 tff(f13296,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))),rev(X0,X3)) = rev(X0,append(X0,X3,cons(X0,X1,X2)))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f5095])).
% 4.68/1.08 tff(f13294,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),rev(X0,X3)) = rev(X0,append(X0,X3,X2)) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1994,f823])).
% 4.68/1.08 tff(f13387,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != X1) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13292,f332])).
% 4.68/1.08 tff(f13292,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = append(X0,nil(X0),rev(X0,X2)) | nil(X0) != X1) )),
% 4.68/1.08 inference(superposition,[],[f1994,f631])).
% 4.68/1.08 tff(f13386,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,rev(X0,X2)) = rev(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13385,f2238])).
% 4.68/1.08 tff(f13385,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,insert(X0,X1,nil(X0)))) = cons(X0,X1,rev(X0,X2))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13291,f2164])).
% 4.68/1.08 tff(f13291,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,insert(X0,X1,nil(X0)))) = append(X0,insert(X0,X1,nil(X0)),rev(X0,X2))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f1383])).
% 4.68/1.08 tff(f13384,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,X3) = append(X0,dropWhile(X0,X1,X2),rev(X0,X3)) | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13290,f331])).
% 4.68/1.08 tff(f13290,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,dropWhile(X0,X1,X2),rev(X0,X3)) = rev(X0,append(X0,X3,nil(X0))) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1994,f3432])).
% 4.68/1.08 tff(f13383,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,X2,rev(X0,X1)))) = append(X0,X1,rev(X0,append(X0,X3,X2)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13382,f378])).
% 4.68/1.08 tff(f13382,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,append(X0,X2,rev(X0,X1)))) = append(X0,X1,append(X0,rev(X0,X2),rev(X0,X3)))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13289,f429])).
% 4.68/1.08 tff(f13289,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,append(X0,X1,rev(X0,X2)),rev(X0,X3)) = rev(X0,append(X0,X3,append(X0,X2,rev(X0,X1))))) )),
% 4.68/1.08 inference(superposition,[],[f1994,f1994])).
% 4.68/1.08 tff(f13287,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,rev(X0,X2))) = append(X0,X1,rev(X0,X3)) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1994,f641])).
% 4.68/1.08 tff(f13286,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,rev(X0,X2))) = append(X0,X1,rev(X0,X3)) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1994,f641])).
% 4.68/1.08 tff(f1994,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,X2)) = rev(X0,append(X0,X2,rev(X0,X1)))) )),
% 4.68/1.08 inference(superposition,[],[f378,f328])).
% 4.68/1.08 tff(f13285,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP2(X0,sK8(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13253,f4313])).
% 4.68/1.08 tff(f13253,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP2(X0,sK8(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 4.68/1.08 inference(superposition,[],[f1931,f4997])).
% 4.68/1.08 tff(f13284,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13252,f4313])).
% 4.68/1.08 tff(f13252,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 4.68/1.08 inference(superposition,[],[f1931,f4387])).
% 4.68/1.08 tff(f13279,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13249,f415])).
% 4.68/1.08 tff(f13249,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1931,f3013])).
% 4.68/1.08 tff(f13278,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13248,f415])).
% 4.68/1.08 tff(f13248,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1931,f3014])).
% 4.68/1.08 tff(f13277,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13276,f4530])).
% 4.68/1.08 tff(f13276,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13247,f2134])).
% 4.68/1.08 tff(f13247,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f2983])).
% 4.68/1.08 tff(f13254,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK8(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13246])).
% 4.68/1.08 tff(f13246,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK8(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1931,f1919])).
% 4.68/1.08 tff(f13255,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK8(X0,X1),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13245])).
% 4.68/1.08 tff(f13245,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK8(X0,X1),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1931,f2514])).
% 4.68/1.08 tff(f13275,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13244,f326])).
% 4.68/1.08 tff(f13244,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),rev(X0,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f631])).
% 4.68/1.08 tff(f13274,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),X2) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13243,f328])).
% 4.68/1.08 tff(f13243,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),rev(X0,rev(X0,X2))) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1931,f823])).
% 4.68/1.08 tff(f13273,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13242,f565])).
% 4.68/1.08 tff(f13242,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),butlast(X0,insert(X0,X2,nil(X0)))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f2662])).
% 4.68/1.08 tff(f13272,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13241,f334])).
% 4.68/1.08 tff(f13241,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),takeWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f9121])).
% 4.68/1.08 tff(f13271,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13240,f333])).
% 4.68/1.08 tff(f13240,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP2(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),dropWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f10657])).
% 4.68/1.08 tff(f13270,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13239,f326])).
% 4.68/1.08 tff(f13239,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,rev(X0,nil(X0)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f631])).
% 4.68/1.08 tff(f13269,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,X2,X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13238,f328])).
% 4.68/1.08 tff(f13238,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,rev(X0,rev(X0,X2)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1931,f823])).
% 4.68/1.08 tff(f13268,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13237,f565])).
% 4.68/1.08 tff(f13237,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,butlast(X0,insert(X0,X2,nil(X0))),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f2662])).
% 4.68/1.08 tff(f13267,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13236,f334])).
% 4.68/1.08 tff(f13236,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP2(X0,takeWhile(X0,X2,nil(X0)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f9121])).
% 4.68/1.08 tff(f13266,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13235,f333])).
% 4.68/1.08 tff(f13235,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP2(X0,dropWhile(X0,X2,nil(X0)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f10657])).
% 4.68/1.08 tff(f13263,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),cons(X0,X1,X2),nil(X0),X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13262,f2976])).
% 4.68/1.08 tff(f13262,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK7(X0,cons(X0,X1,X2))) | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13233,f370])).
% 4.68/1.08 tff(f13233,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK7(X0,cons(X0,X1,X2))) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1931,f8564])).
% 4.68/1.08 tff(f13259,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13258,f2983])).
% 4.68/1.08 tff(f13258,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK7(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13231,f2134])).
% 4.68/1.08 tff(f13231,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK7(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1931,f4530])).
% 4.68/1.08 tff(f13256,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK4(X0,X1),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13230])).
% 4.68/1.08 tff(f13230,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK4(X0,X1),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1931,f4515])).
% 4.68/1.08 tff(f1931,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK8(X0,X1),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f540,f351])).
% 4.68/1.08 tff(f13226,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1(X0,sK8(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13194,f4313])).
% 4.68/1.08 tff(f13194,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1(X0,sK8(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 4.68/1.08 inference(superposition,[],[f1929,f4997])).
% 4.68/1.08 tff(f13225,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13193,f4313])).
% 4.68/1.08 tff(f13193,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 4.68/1.08 inference(superposition,[],[f1929,f4387])).
% 4.68/1.08 tff(f13220,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13190,f415])).
% 4.68/1.08 tff(f13190,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1929,f3013])).
% 4.68/1.08 tff(f13219,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13189,f415])).
% 4.68/1.08 tff(f13189,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK8(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1929,f3014])).
% 4.68/1.08 tff(f13218,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13217,f4530])).
% 4.68/1.08 tff(f13217,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13188,f2134])).
% 4.68/1.08 tff(f13188,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f2983])).
% 4.68/1.08 tff(f13195,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK8(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13187])).
% 4.68/1.08 tff(f13187,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK8(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1929,f1919])).
% 4.68/1.08 tff(f13196,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK8(X0,X1),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13186])).
% 4.68/1.08 tff(f13186,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK8(X0,X1),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1929,f2514])).
% 4.68/1.08 tff(f13216,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13185,f326])).
% 4.68/1.08 tff(f13185,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),rev(X0,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f631])).
% 4.68/1.08 tff(f13215,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),X2) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13184,f328])).
% 4.68/1.08 tff(f13184,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),rev(X0,rev(X0,X2))) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1929,f823])).
% 4.68/1.08 tff(f13214,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13183,f565])).
% 4.68/1.08 tff(f13183,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),butlast(X0,insert(X0,X2,nil(X0)))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f2662])).
% 4.68/1.08 tff(f13213,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13182,f334])).
% 4.68/1.08 tff(f13182,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),takeWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f9121])).
% 4.68/1.08 tff(f13212,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13181,f333])).
% 4.68/1.08 tff(f13181,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP1(list(X0),sK8(list(X0),X1),X1,nil(list(X0)),dropWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f10657])).
% 4.68/1.08 tff(f13211,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13180,f326])).
% 4.68/1.08 tff(f13180,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,rev(X0,nil(X0)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f631])).
% 4.68/1.08 tff(f13210,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,X2,X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13179,f328])).
% 4.68/1.08 tff(f13179,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,rev(X0,rev(X0,X2)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1929,f823])).
% 4.68/1.08 tff(f13209,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13178,f565])).
% 4.68/1.08 tff(f13178,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,butlast(X0,insert(X0,X2,nil(X0))),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f2662])).
% 4.68/1.08 tff(f13208,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13177,f334])).
% 4.68/1.08 tff(f13177,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP1(X0,takeWhile(X0,X2,nil(X0)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f9121])).
% 4.68/1.08 tff(f13207,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13176,f333])).
% 4.68/1.08 tff(f13176,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP1(X0,dropWhile(X0,X2,nil(X0)),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f10657])).
% 4.68/1.08 tff(f13204,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),cons(X0,X1,X2),nil(X0),X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13203,f2976])).
% 4.68/1.08 tff(f13203,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK7(X0,cons(X0,X1,X2))) | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13174,f370])).
% 4.68/1.08 tff(f13174,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK7(X0,cons(X0,X1,X2))) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1929,f8564])).
% 4.68/1.08 tff(f13200,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13199,f2983])).
% 4.68/1.08 tff(f13199,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK7(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13172,f2134])).
% 4.68/1.08 tff(f13172,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK7(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1929,f4530])).
% 4.68/1.08 tff(f13197,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK4(X0,X1),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13171])).
% 4.68/1.08 tff(f13171,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK4(X0,X1),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1929,f4515])).
% 4.68/1.08 tff(f1929,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK8(X0,X1),X1,nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f536,f351])).
% 4.68/1.08 tff(f13167,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP2(X0,sK4(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13137,f4313])).
% 4.68/1.08 tff(f13137,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP2(X0,sK4(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 4.68/1.08 inference(superposition,[],[f1785,f4968])).
% 4.68/1.08 tff(f13166,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13136,f4313])).
% 4.68/1.08 tff(f13136,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 4.68/1.08 inference(superposition,[],[f1785,f4385])).
% 4.68/1.08 tff(f13161,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13133,f415])).
% 4.68/1.08 tff(f13133,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1785,f2586])).
% 4.68/1.08 tff(f13160,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13132,f415])).
% 4.68/1.08 tff(f13132,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1785,f2587])).
% 4.68/1.08 tff(f13159,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13158,f4512])).
% 4.68/1.08 tff(f13158,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13131,f2134])).
% 4.68/1.08 tff(f13131,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f2513])).
% 4.68/1.08 tff(f13138,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK4(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13130])).
% 4.68/1.08 tff(f13130,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK4(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1785,f1773])).
% 4.68/1.08 tff(f13157,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13129,f326])).
% 4.68/1.08 tff(f13129,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),rev(X0,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f631])).
% 4.68/1.08 tff(f13156,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),X2) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13128,f328])).
% 4.68/1.08 tff(f13128,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),rev(X0,rev(X0,X2))) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1785,f823])).
% 4.68/1.08 tff(f13155,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13127,f565])).
% 4.68/1.08 tff(f13127,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),butlast(X0,insert(X0,X2,nil(X0)))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f2662])).
% 4.68/1.08 tff(f13154,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13126,f334])).
% 4.68/1.08 tff(f13126,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),takeWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f9121])).
% 4.68/1.08 tff(f13153,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13125,f333])).
% 4.68/1.08 tff(f13125,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP2(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),dropWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f10657])).
% 4.68/1.08 tff(f13152,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13124,f326])).
% 4.68/1.08 tff(f13124,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,rev(X0,nil(X0)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f631])).
% 4.68/1.08 tff(f13151,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,X2,X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13123,f328])).
% 4.68/1.08 tff(f13123,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,rev(X0,rev(X0,X2)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1785,f823])).
% 4.68/1.08 tff(f13150,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13122,f565])).
% 4.68/1.08 tff(f13122,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,butlast(X0,insert(X0,X2,nil(X0))),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f2662])).
% 4.68/1.08 tff(f13149,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13121,f334])).
% 4.68/1.08 tff(f13121,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP2(X0,takeWhile(X0,X2,nil(X0)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f9121])).
% 4.68/1.08 tff(f13148,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13120,f333])).
% 4.68/1.08 tff(f13120,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP2(X0,dropWhile(X0,X2,nil(X0)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f10657])).
% 4.68/1.08 tff(f13147,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13146,f2513])).
% 4.68/1.08 tff(f13146,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK3(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13119,f2134])).
% 4.68/1.08 tff(f13119,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK3(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1785,f4512])).
% 4.68/1.08 tff(f13141,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),cons(X0,X1,X2),nil(X0),X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13140,f2506])).
% 4.68/1.08 tff(f13140,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK3(X0,cons(X0,X1,X2))) | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13116,f370])).
% 4.68/1.08 tff(f13116,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK3(X0,cons(X0,X1,X2))) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1785,f12332])).
% 4.68/1.08 tff(f1785,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK4(X0,X1),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f540,f347])).
% 4.68/1.08 tff(f13112,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1(X0,sK4(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13082,f4313])).
% 4.68/1.08 tff(f13082,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sP1(X0,sK4(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))),rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 4.68/1.08 inference(superposition,[],[f1783,f4968])).
% 4.68/1.08 tff(f13111,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13081,f4313])).
% 4.68/1.08 tff(f13081,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))),rotate1(X0,cons(X0,X1,cons(X0,X2,X3))),nil(X0),X2) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 4.68/1.08 inference(superposition,[],[f1783,f4385])).
% 4.68/1.08 tff(f13106,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13078,f415])).
% 4.68/1.08 tff(f13078,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK3(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1783,f2586])).
% 4.68/1.08 tff(f13105,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13077,f415])).
% 4.68/1.08 tff(f13077,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK4(X0,append(X0,X1,X2)),append(X0,X1,X2),nil(X0),sK7(X0,X1)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1783,f2587])).
% 4.68/1.08 tff(f13104,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13103,f4512])).
% 4.68/1.08 tff(f13103,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13076,f2134])).
% 4.68/1.08 tff(f13076,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,cons(X0,X1,X2),X3),nil(X0),X1) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f2513])).
% 4.68/1.08 tff(f13083,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK4(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13075])).
% 4.68/1.08 tff(f13075,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK4(X0,X1),X1,nil(X0),hd(X0,X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f1783,f1773])).
% 4.68/1.08 tff(f13102,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13074,f326])).
% 4.68/1.08 tff(f13074,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),rev(X0,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f631])).
% 4.68/1.08 tff(f13101,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),X2) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13073,f328])).
% 4.68/1.08 tff(f13073,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),rev(X0,rev(X0,X2))) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1783,f823])).
% 4.68/1.08 tff(f13100,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13072,f565])).
% 4.68/1.08 tff(f13072,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),butlast(X0,insert(X0,X2,nil(X0)))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f2662])).
% 4.68/1.08 tff(f13099,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13071,f334])).
% 4.68/1.08 tff(f13071,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),takeWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f9121])).
% 4.68/1.08 tff(f13098,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13070,f333])).
% 4.68/1.08 tff(f13070,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (sP1(list(X0),sK4(list(X0),X1),X1,nil(list(X0)),dropWhile(X0,X2,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f10657])).
% 4.68/1.08 tff(f13097,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13069,f326])).
% 4.68/1.08 tff(f13069,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,rev(X0,nil(X0)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f631])).
% 4.68/1.08 tff(f13096,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,X2,X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13068,f328])).
% 4.68/1.08 tff(f13068,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,rev(X0,rev(X0,X2)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1783,f823])).
% 4.68/1.08 tff(f13095,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13067,f565])).
% 4.68/1.08 tff(f13067,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,butlast(X0,insert(X0,X2,nil(X0))),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f2662])).
% 4.68/1.08 tff(f13094,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13066,f334])).
% 4.68/1.08 tff(f13066,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP1(X0,takeWhile(X0,X2,nil(X0)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f9121])).
% 4.68/1.08 tff(f13093,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,nil(X0),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13065,f333])).
% 4.68/1.08 tff(f13065,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP1(X0,dropWhile(X0,X2,nil(X0)),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f10657])).
% 4.68/1.08 tff(f13092,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13091,f2513])).
% 4.68/1.08 tff(f13091,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK3(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13064,f2134])).
% 4.68/1.08 tff(f13064,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),sK3(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 4.68/1.08 inference(superposition,[],[f1783,f4512])).
% 4.68/1.08 tff(f13086,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),cons(X0,X1,X2),nil(X0),X1) | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13085,f2506])).
% 4.68/1.08 tff(f13085,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK3(X0,cons(X0,X1,X2))) | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13061,f370])).
% 4.68/1.08 tff(f13061,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),cons(X0,X1,X2),nil(X0),sK3(X0,cons(X0,X1,X2))) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1783,f12332])).
% 4.68/1.08 tff(f1783,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK4(X0,X1),X1,nil(X0),sK3(X0,X1)) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f536,f347])).
% 4.68/1.08 tff(f13056,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (rev(X0,rev(X0,X3)) != insert(X0,X4,nil(X0)) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f1376,f823])).
% 4.68/1.08 tff(f13047,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,cons(X0,X1,X2),X3) != insert(X0,X4,nil(X0)) | nil(X0) = append(X0,X2,X3)) )),
% 4.68/1.08 inference(superposition,[],[f1376,f430])).
% 4.68/1.08 tff(f13045,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X3,X4) != rev(X0,rev(X0,X2)) | nil(X0) = X4 | insert(X0,X1,nil(X0)) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1376,f823])).
% 4.68/1.08 tff(f1376,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X2,X3) | nil(X0) = X3) )),
% 4.68/1.08 inference(superposition,[],[f482,f335])).
% 4.68/1.08 tff(f13032,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,last(X0,X1),rev(X0,X1))) | nil(X0) = rev(X0,X1)) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f13031])).
% 4.68/1.08 tff(f13031,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,last(X0,X1),rev(X0,X1))) | nil(X0) = rev(X0,X1) | nil(X0) = rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f1813,f1304])).
% 4.68/1.08 tff(f13041,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13030,f326])).
% 4.68/1.08 tff(f13030,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f631])).
% 4.68/1.08 tff(f13029,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | hd(list(X0),rev(list(X0),X1)) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1304,f823])).
% 4.68/1.08 tff(f13040,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13028,f565])).
% 4.68/1.08 tff(f13028,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f2662])).
% 4.68/1.08 tff(f13039,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13027,f334])).
% 4.68/1.08 tff(f13027,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f9121])).
% 4.68/1.08 tff(f13038,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13026,f333])).
% 4.68/1.08 tff(f13026,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f10657])).
% 4.68/1.08 tff(f13037,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,X2) | nil(X0) = rev(X0,X1) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f13024,f328])).
% 4.68/1.08 tff(f13024,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,rev(X0,X2))) | nil(X0) = rev(X0,X1) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1304,f823])).
% 4.68/1.08 tff(f13019,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,rev(X0,X1)) = hd(X0,X1) | nil(X0) = rev(X0,rev(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f1304,f328])).
% 4.68/1.08 tff(f13018,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,X1)) = hd(X0,X2) | nil(X0) = rev(X0,rev(X0,X1)) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1304,f823])).
% 4.68/1.08 tff(f13012,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X2)) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1304,f641])).
% 4.68/1.08 tff(f13011,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X2)) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1304,f641])).
% 4.68/1.08 tff(f1304,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f344,f328])).
% 4.68/1.08 tff(f13010,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) = append(X0,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13002,f370])).
% 4.68/1.08 tff(f13002,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,X2,X3) = append(X0,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 4.68/1.08 inference(resolution,[],[f475,f538])).
% 4.68/1.08 tff(f13009,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (append(X0,sK16(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1),dropWhile(X0,X2,X3)) = X3) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13001,f370])).
% 4.68/1.08 tff(f13001,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,takeWhile(X0,X2,X3)) | append(X0,sK16(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1),dropWhile(X0,X2,X3)) = X3) )),
% 4.68/1.08 inference(resolution,[],[f475,f1098])).
% 4.68/1.08 tff(f13008,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,sK16(X0,X2,nil(X0),X1,X3),nil(X0)) = X2 | cons(X0,X3,X2) != X1) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f13000,f3138])).
% 4.68/1.08 tff(f13000,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (nil(X0) = X1 | append(X0,sK16(X0,X2,nil(X0),X1,X3),nil(X0)) = X2 | cons(X0,X3,X2) != X1) )),
% 4.68/1.08 inference(resolution,[],[f475,f1010])).
% 4.68/1.08 tff(f13007,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12999,f370])).
% 4.68/1.08 tff(f12999,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK16(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 4.68/1.08 inference(resolution,[],[f475,f2718])).
% 4.68/1.08 tff(f13006,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK16(X0,X3,X3,cons(X0,X1,X2),X1),X3) = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12997,f370])).
% 4.68/1.08 tff(f12997,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK16(X0,X3,X3,cons(X0,X1,X2),X1),X3) = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(resolution,[],[f475,f2650])).
% 4.68/1.08 tff(f13005,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12996,f569])).
% 4.68/1.08 tff(f12996,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = insert(X0,X1,nil(X0)) | append(X0,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 4.68/1.08 inference(resolution,[],[f475,f625])).
% 4.68/1.08 tff(f13004,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12995,f370])).
% 4.68/1.08 tff(f12995,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 4.68/1.08 inference(resolution,[],[f475,f622])).
% 4.68/1.08 tff(f475,plain,(
% 4.68/1.08 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP2(X2,X0,X1,X3,X4) | nil(X2) = X3 | append(X2,sK16(X2,X0,X1,X3,X4),X1) = X0) )),
% 4.68/1.08 inference(cnf_transformation,[],[f310])).
% 4.68/1.08 tff(f12985,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,hd(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1)) )),
% 4.68/1.08 inference(duplicate_literal_removal,[],[f12984])).
% 4.68/1.08 tff(f12984,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,hd(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1) | nil(X0) = rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f6354,f1235])).
% 4.68/1.08 tff(f12993,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12973,f326])).
% 4.68/1.08 tff(f12973,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f631])).
% 4.68/1.08 tff(f12972,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | last(list(X0),rev(list(X0),X1)) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1235,f823])).
% 4.68/1.08 tff(f12992,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12971,f565])).
% 4.68/1.08 tff(f12971,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f2662])).
% 4.68/1.08 tff(f12991,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12970,f334])).
% 4.68/1.08 tff(f12970,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f9121])).
% 4.68/1.08 tff(f12990,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12969,f333])).
% 4.68/1.08 tff(f12969,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = rev(list(X0),X1) | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f10657])).
% 4.68/1.08 tff(f12989,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,X2) | nil(X0) = rev(X0,X1) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12967,f328])).
% 4.68/1.08 tff(f12967,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,rev(X0,rev(X0,X2))) | nil(X0) = rev(X0,X1) | rev(X0,X1) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1235,f823])).
% 4.68/1.08 tff(f12988,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = hd(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12963,f4489])).
% 4.68/1.08 tff(f12963,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = hd(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) | nil(X0) = rev(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f5095])).
% 4.68/1.08 tff(f12962,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X1)) | nil(X0) = rev(X0,rev(X0,X1))) )),
% 4.68/1.08 inference(superposition,[],[f1235,f328])).
% 4.68/1.08 tff(f12961,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,rev(X0,X1)) = last(X0,X2) | nil(X0) = rev(X0,rev(X0,X1)) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1235,f823])).
% 4.68/1.08 tff(f12955,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1235,f641])).
% 4.68/1.08 tff(f12954,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 4.68/1.08 inference(superposition,[],[f1235,f641])).
% 4.68/1.08 tff(f1235,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,rev(X0,X1)) = hd(X0,X1) | nil(X0) = rev(X0,X1)) )),
% 4.68/1.08 inference(superposition,[],[f343,f328])).
% 4.68/1.08 tff(f12951,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (X3 != X4 | nil(X0) != X2 | distinct(X0,X4) | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12938,f328])).
% 4.68/1.08 tff(f12938,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | nil(X0) != X2 | distinct(X0,X4) | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12578,f823])).
% 4.68/1.08 tff(f12578,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) != X3 | nil(X0) != X2 | distinct(X0,X3)) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12566,f328])).
% 4.68/1.08 tff(f12566,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,rev(X0,rev(X0,X3))) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12555,f823])).
% 4.68/1.08 tff(f12925,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X4,nil(X0),X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12912,f328])).
% 4.68/1.08 tff(f12912,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X4,nil(X0),X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12646,f823])).
% 4.68/1.08 tff(f12646,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X1,nil(X0),X1) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f607,f12261])).
% 4.68/1.08 tff(f12899,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X3,X4,nil(X0)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12886,f328])).
% 4.68/1.08 tff(f12886,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,rev(X0,rev(X0,X3)),X4,nil(X0)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12644,f823])).
% 4.68/1.08 tff(f12644,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X3),X1,nil(X0)) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f599,f12261])).
% 4.68/1.08 tff(f12873,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),X4,X3,X4) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12860,f328])).
% 4.68/1.08 tff(f12860,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),X4,rev(X0,rev(X0,X3)),X4) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12472,f823])).
% 4.68/1.08 tff(f12472,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,takeWhile(X0,X1,X2),X3) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f604,f12208])).
% 4.68/1.08 tff(f12846,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,nil(X0),X4,X3) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12833,f328])).
% 4.68/1.08 tff(f12833,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,nil(X0),X4,rev(X0,rev(X0,X3))) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12470,f823])).
% 4.68/1.08 tff(f12470,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),X3,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f596,f12208])).
% 4.68/1.08 tff(f12814,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | rev(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f823])).
% 4.68/1.08 tff(f12809,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f641])).
% 4.68/1.08 tff(f12808,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f641])).
% 4.68/1.08 tff(f12821,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12804,f328])).
% 4.68/1.08 tff(f12804,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X4))) | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f823])).
% 4.68/1.08 tff(f12799,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f641])).
% 4.68/1.08 tff(f12798,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f641])).
% 4.68/1.08 tff(f12820,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12796,f328])).
% 4.68/1.08 tff(f12796,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,rev(X0,X4)))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 4.68/1.08 inference(superposition,[],[f8889,f823])).
% 4.68/1.08 tff(f12791,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (nil(X0) != rev(X0,rev(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))))) )),
% 4.68/1.08 inference(superposition,[],[f8889,f2238])).
% 4.68/1.08 tff(f12819,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,append(X0,X3,X4))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12785,f328])).
% 4.68/1.08 tff(f12785,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,append(X0,rev(X0,rev(X0,X3)),X4))) | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f8889,f823])).
% 4.68/1.08 tff(f12781,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f8889,f351])).
% 4.68/1.08 tff(f12780,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f8889,f347])).
% 4.68/1.08 tff(f8889,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 4.68/1.08 inference(superposition,[],[f8888,f430])).
% 4.68/1.08 tff(f12773,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12772,f2506])).
% 4.68/1.08 tff(f12772,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,sK3(X0,cons(X0,X1,X2)),nil(X0)) | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12760,f370])).
% 4.68/1.08 tff(f12760,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,sK3(X0,cons(X0,X1,X2)),nil(X0)) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f347,f12332])).
% 4.68/1.08 tff(f12759,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f2525,f12332])).
% 4.68/1.08 tff(f12754,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != X2 | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12332,f823])).
% 4.68/1.08 tff(f12771,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,X3) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(forward_demodulation,[],[f12748,f328])).
% 4.68/1.08 tff(f12748,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,rev(X0,rev(X0,X3))) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 4.68/1.08 inference(superposition,[],[f12332,f823])).
% 4.68/1.08 tff(f12744,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) != sK8(X0,X1) | nil(X0) = X1) )),
% 4.68/1.08 inference(superposition,[],[f12332,f351])).
% 4.68/1.08 tff(f12739,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) != append(X0,X2,X3)) )),
% 4.68/1.08 inference(superposition,[],[f12332,f430])).
% 4.68/1.08 tff(f12332,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,cons(X0,X1,X2)) | nil(X0) != X2) )),
% 4.68/1.08 inference(subsumption_resolution,[],[f12309,f370])).
% 4.68/1.08 tff(f12309,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,cons(X0,X1,X2)) | nil(X0) != X2 | nil(X0) = cons(X0,X1,X2)) )),
% 4.68/1.08 inference(superposition,[],[f8564,f4515])).
% 4.68/1.08 tff(f12721,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,X2) = dropWhile(X0,X3,X4) | nil(X0) != X2 | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f12208,f12261])).
% 4.68/1.08 tff(f12717,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | dropWhile(X0,X1,X2) = X3 | nil(X0) != X2) )),
% 4.68/1.08 inference(superposition,[],[f1358,f12261])).
% 4.68/1.08 tff(f12705,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0,X4 : list(X0)] : (~distinct(X0,cons(X0,X1,X2)) | distinct(X0,append(X0,X2,dropWhile(X0,X3,X4))) | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f4569,f12261])).
% 4.68/1.08 tff(f12699,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X1,X2)) != append(X0,X2,dropWhile(X0,X3,X4)) | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f4415,f12261])).
% 4.68/1.08 tff(f12688,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X2,dropWhile(X0,X3,X4)) | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f2133,f12261])).
% 4.68/1.08 tff(f12683,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != dropWhile(X0,X2,X3) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2286,f12261])).
% 4.68/1.08 tff(f12682,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,dropWhile(X0,X2,X3)) | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2164,f12261])).
% 4.68/1.08 tff(f12681,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),dropWhile(X0,X3,X4),X2,takeWhile(X0,X1,X2)) | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f1094,f12261])).
% 4.68/1.08 tff(f12680,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X3,X4),dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2) | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f1096,f12261])).
% 4.68/1.08 tff(f12678,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,dropWhile(X0,X3,X4))) | nil(X0) != X4) )),
% 4.68/1.08 inference(superposition,[],[f429,f12261])).
% 4.68/1.08 tff(f12664,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X1,X4,X4) | nil(X0) != X1 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2716,f12261])).
% 4.68/1.08 tff(f12663,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,dropWhile(X0,X2,X3),X1,X1) | nil(X0) != X4 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2715,f12261])).
% 4.68/1.08 tff(f12662,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X3),X4,X4) | nil(X0) != X1 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2714,f12261])).
% 4.68/1.08 tff(f12661,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X4,X1,X1) | nil(X0) != X4 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2713,f12261])).
% 4.68/1.08 tff(f12659,plain,(
% 4.68/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X1,X4,X1) | nil(X0) != X4 | nil(X0) != X3) )),
% 4.68/1.08 inference(superposition,[],[f2648,f12261])).
% 4.68/1.08 tff(f12657,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X3),X1,X4) | nil(X0) != X4 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f2646,f12261])).
% 5.10/1.08 tff(f12654,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) = X1 | nil(X0) != X1 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f2570,f12261])).
% 5.10/1.08 tff(f12642,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,X1,dropWhile(X0,X2,X3),cons(X0,X4,X1),X4) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f538,f12261])).
% 5.10/1.08 tff(f12641,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,X1,dropWhile(X0,X2,X3),cons(X0,X4,X1),X4) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f534,f12261])).
% 5.10/1.08 tff(f12640,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X2,X3),X4),X1,X1) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f532,f12261])).
% 5.10/1.08 tff(f12639,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X1,X4,append(X0,X4,X1)) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f532,f12261])).
% 5.10/1.08 tff(f12638,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X2,X3),X4),X4,X1,X1) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f530,f12261])).
% 5.10/1.08 tff(f12637,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X3),append(X0,X4,X1),X4) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f530,f12261])).
% 5.10/1.08 tff(f12636,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X1 | sP2(X0,X5,dropWhile(X0,X2,X3),X1,X4) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f479,f12261])).
% 5.10/1.08 tff(f12635,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X1 | sP1(X0,X5,dropWhile(X0,X2,X3),X1,X4) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f471,f12261])).
% 5.10/1.08 tff(f12634,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X1 | sP0(X0,dropWhile(X0,X2,X3),X5,X4,X1) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f463,f12261])).
% 5.10/1.08 tff(f12633,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X1 | sP0(X0,X5,dropWhile(X0,X2,X3),X1,X4) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f463,f12261])).
% 5.10/1.08 tff(f12632,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != X1 | dropWhile(X0,X2,X3) = X4 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f445,f12261])).
% 5.10/1.08 tff(f12631,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != X1 | dropWhile(X0,X2,X3) = X4 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f445,f12261])).
% 5.10/1.08 tff(f12630,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,dropWhile(X0,X2,X3)) != X1 | X1 = X4 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f443,f12261])).
% 5.10/1.08 tff(f12629,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,dropWhile(X0,X2,X3)) != X1 | X1 = X4 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f443,f12261])).
% 5.10/1.08 tff(f12627,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) = append(X0,X1,append(X0,dropWhile(X0,X2,X3),X4)) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f429,f12261])).
% 5.10/1.08 tff(f12624,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | nil(X0) = X1 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f409,f12261])).
% 5.10/1.08 tff(f12619,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | nil(X0) != X3 | append(X0,X1,dropWhile(X0,X2,X3)) != X4) )),
% 5.10/1.08 inference(superposition,[],[f12261,f823])).
% 5.10/1.08 tff(f12618,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != X3 | nil(X0) != append(X0,X1,dropWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f12261,f2662])).
% 5.10/1.08 tff(f12617,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X1 | nil(X0) != X3 | nil(X0) != append(X0,X1,dropWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f12261,f9121])).
% 5.10/1.08 tff(f12616,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X1 | nil(X0) != X3 | nil(X0) != append(X0,X1,dropWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f12261,f10657])).
% 5.10/1.08 tff(f12615,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,X2) = dropWhile(X0,X3,X4) | nil(X0) != X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f12261,f12208])).
% 5.10/1.08 tff(f12611,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,dropWhile(X0,X2,X3)) | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f12261,f2164])).
% 5.10/1.08 tff(f12610,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,dropWhile(X0,X3,X4))) | nil(X0) != X4) )),
% 5.10/1.08 inference(superposition,[],[f12261,f429])).
% 5.10/1.08 tff(f12609,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) = X1 | nil(X0) != X3 | nil(X0) != X1) )),
% 5.10/1.08 inference(superposition,[],[f12261,f2570])).
% 5.10/1.08 tff(f12733,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X4,X3) = X4 | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12607,f328])).
% 5.10/1.08 tff(f12607,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X4,rev(X0,rev(X0,X3))) = X4 | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f12261,f823])).
% 5.10/1.08 tff(f12261,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X2,dropWhile(X0,X3,X1)) = X2 | nil(X0) != X1) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12245,f331])).
% 5.10/1.08 tff(f12245,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X2,nil(X0)) = append(X0,X2,dropWhile(X0,X3,X1))) )),
% 5.10/1.08 inference(resolution,[],[f8448,f464])).
% 5.10/1.08 tff(f12597,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12589,f370])).
% 5.10/1.08 tff(f12589,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(resolution,[],[f473,f538])).
% 5.10/1.08 tff(f12596,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (cons(X0,X1,takeWhile(X0,X2,X3)) = cons(X0,X1,sK16(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12588,f370])).
% 5.10/1.08 tff(f12588,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,takeWhile(X0,X2,X3)) | cons(X0,X1,takeWhile(X0,X2,X3)) = cons(X0,X1,sK16(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1))) )),
% 5.10/1.08 inference(resolution,[],[f473,f1098])).
% 5.10/1.08 tff(f12595,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,sK16(X0,X3,nil(X0),X1,X2)) = X1 | cons(X0,X2,X3) != X1) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12587,f3138])).
% 5.10/1.08 tff(f12587,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | cons(X0,X2,sK16(X0,X3,nil(X0),X1,X2)) = X1 | cons(X0,X2,X3) != X1) )),
% 5.10/1.08 inference(resolution,[],[f473,f1010])).
% 5.10/1.08 tff(f12594,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12586,f370])).
% 5.10/1.08 tff(f12586,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 5.10/1.08 inference(resolution,[],[f473,f2718])).
% 5.10/1.08 tff(f12593,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X3,X3,cons(X0,X1,X2),X1)) | nil(X0) != X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12584,f370])).
% 5.10/1.08 tff(f12584,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X3,X3,cons(X0,X1,X2),X1)) | nil(X0) != X2) )),
% 5.10/1.08 inference(resolution,[],[f473,f2650])).
% 5.10/1.08 tff(f12592,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12583,f569])).
% 5.10/1.08 tff(f12583,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = insert(X0,X1,nil(X0)) | insert(X0,X1,nil(X0)) = cons(X0,X1,sK16(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 5.10/1.08 inference(resolution,[],[f473,f625])).
% 5.10/1.08 tff(f12591,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12582,f370])).
% 5.10/1.08 tff(f12582,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK16(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(resolution,[],[f473,f622])).
% 5.10/1.08 tff(f473,plain,(
% 5.10/1.08 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP2(X2,X0,X1,X3,X4) | nil(X2) = X3 | cons(X2,X4,sK16(X2,X0,X1,X3,X4)) = X3) )),
% 5.10/1.08 inference(cnf_transformation,[],[f310])).
% 5.10/1.08 tff(f12555,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12515,f567])).
% 5.10/1.08 tff(f12515,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (~distinct(X0,insert(X0,X3,nil(X0))) | distinct(X0,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1167,f12208])).
% 5.10/1.08 tff(f12538,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,dropWhile(X0,X3,X4),takeWhile(X0,X3,X4),takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1093,f12208])).
% 5.10/1.08 tff(f12537,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X3,X4),X4,takeWhile(X0,X1,X2),takeWhile(X0,X3,X4)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1095,f12208])).
% 5.10/1.08 tff(f12533,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (rotate1(X0,cons(X0,X3,X4)) != append(X0,takeWhile(X0,X1,X2),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f7058,f12208])).
% 5.10/1.08 tff(f12528,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | takeWhile(X0,X1,X2) = X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1338,f12208])).
% 5.10/1.08 tff(f12523,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : X0] : (insert(X0,X3,nil(X0)) != append(X0,X4,insert(X0,X5,nil(X0))) | takeWhile(X0,X1,X2) = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f8632,f12208])).
% 5.10/1.08 tff(f12522,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : X0] : (insert(X0,X3,nil(X0)) != append(X0,X4,insert(X0,X5,nil(X0))) | takeWhile(X0,X1,X2) = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f8632,f12208])).
% 5.10/1.08 tff(f12521,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X4 : list(X0),X5 : X0] : (insert(X0,X3,nil(X0)) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X5 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f7492,f12208])).
% 5.10/1.08 tff(f12520,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X4 : list(X0),X5 : X0] : (insert(X0,X3,nil(X0)) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X5 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f7492,f12208])).
% 5.10/1.08 tff(f12519,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) != insert(X0,X3,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f7039,f12208])).
% 5.10/1.08 tff(f12518,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (insert(X0,X3,nil(X0)) = rotate1(X0,cons(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2238,f12208])).
% 5.10/1.08 tff(f12491,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X3,takeWhile(X0,X1,X2),X3) | nil(X0) != X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2715,f12208])).
% 5.10/1.08 tff(f12489,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X4,X3,takeWhile(X0,X1,X2)) | nil(X0) != X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2713,f12208])).
% 5.10/1.08 tff(f12487,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X3,X4,takeWhile(X0,X1,X2)) | nil(X0) != X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2648,f12208])).
% 5.10/1.08 tff(f12486,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,takeWhile(X0,X1,X2),X3) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2647,f12208])).
% 5.10/1.08 tff(f12485,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),X4) | nil(X0) != X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2646,f12208])).
% 5.10/1.08 tff(f12484,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X3,takeWhile(X0,X1,X2)) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2645,f12208])).
% 5.10/1.08 tff(f12481,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X3 | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2571,f12208])).
% 5.10/1.08 tff(f12480,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (~null(X0,X3) | takeWhile(X0,X1,X2) != X4 | nil(X0) = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2321,f12208])).
% 5.10/1.08 tff(f12469,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X3,X3,cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f538,f12208])).
% 5.10/1.08 tff(f12468,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X3,X3,cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f534,f12208])).
% 5.10/1.08 tff(f12467,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,X3,X4),takeWhile(X0,X1,X2),X3) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f532,f12208])).
% 5.10/1.08 tff(f12466,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X3,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f532,f12208])).
% 5.10/1.08 tff(f12465,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,X3,X4),X4,X3,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f530,f12208])).
% 5.10/1.08 tff(f12464,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X3,append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f530,f12208])).
% 5.10/1.08 tff(f12463,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X3 | sP2(X0,X5,X3,takeWhile(X0,X1,X2),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f479,f12208])).
% 5.10/1.08 tff(f12462,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X3 | sP1(X0,X5,X3,takeWhile(X0,X1,X2),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f471,f12208])).
% 5.10/1.08 tff(f12461,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X3 | sP0(X0,X3,X5,X4,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f463,f12208])).
% 5.10/1.08 tff(f12460,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X3 | sP0(X0,X5,X3,takeWhile(X0,X1,X2),X4) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f463,f12208])).
% 5.10/1.08 tff(f12459,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,takeWhile(X0,X1,X2),X4) != X3 | X3 = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f445,f12208])).
% 5.10/1.08 tff(f12458,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,takeWhile(X0,X1,X2),X4) != X3 | X3 = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f445,f12208])).
% 5.10/1.08 tff(f12457,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X4,X3) != X3 | takeWhile(X0,X1,X2) = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f443,f12208])).
% 5.10/1.08 tff(f12456,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X4,X3) != X3 | takeWhile(X0,X1,X2) = X4 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f443,f12208])).
% 5.10/1.08 tff(f12455,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (cons(X0,X4,X3) = append(X0,cons(X0,X4,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f430,f12208])).
% 5.10/1.08 tff(f12450,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) != X3 | nil(X0) = X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f407,f12208])).
% 5.10/1.08 tff(f12444,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X3 | nil(X0) != X2 | append(X0,takeWhile(X0,X1,X2),X3) != X4) )),
% 5.10/1.08 inference(superposition,[],[f12208,f823])).
% 5.10/1.08 tff(f12443,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X3 | nil(X0) != X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(superposition,[],[f12208,f2662])).
% 5.10/1.08 tff(f12442,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X3 | nil(X0) != X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(superposition,[],[f12208,f9121])).
% 5.10/1.08 tff(f12441,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X3 | nil(X0) != X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(superposition,[],[f12208,f10657])).
% 5.10/1.08 tff(f12439,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (insert(X0,X3,nil(X0)) = rotate1(X0,cons(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f12208,f2238])).
% 5.10/1.08 tff(f12437,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X3 | nil(X0) != X2 | nil(X0) != X3) )),
% 5.10/1.08 inference(superposition,[],[f12208,f2571])).
% 5.10/1.08 tff(f12550,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X3,X4) = X4 | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12433,f328])).
% 5.10/1.08 tff(f12433,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) = X4 | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f12208,f823])).
% 5.10/1.08 tff(f12208,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,takeWhile(X0,X3,X1),X2) = X2 | nil(X0) != X1) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12191,f332])).
% 5.10/1.08 tff(f12191,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != X1 | append(X0,nil(X0),X2) = append(X0,takeWhile(X0,X3,X1),X2)) )),
% 5.10/1.08 inference(resolution,[],[f8416,f464])).
% 5.10/1.08 tff(f12422,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) = append(X0,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12414,f370])).
% 5.10/1.08 tff(f12414,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,X2,X3) = append(X0,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1),X3)) )),
% 5.10/1.08 inference(resolution,[],[f467,f534])).
% 5.10/1.08 tff(f12421,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (append(X0,sK15(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1),dropWhile(X0,X2,X3)) = X3) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12413,f370])).
% 5.10/1.08 tff(f12413,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,takeWhile(X0,X2,X3)) | append(X0,sK15(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1),dropWhile(X0,X2,X3)) = X3) )),
% 5.10/1.08 inference(resolution,[],[f467,f1097])).
% 5.10/1.08 tff(f12420,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,sK15(X0,X2,nil(X0),X1,X3),nil(X0)) = X2 | cons(X0,X3,X2) != X1) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12412,f3138])).
% 5.10/1.08 tff(f12412,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (nil(X0) = X1 | append(X0,sK15(X0,X2,nil(X0),X1,X3),nil(X0)) = X2 | cons(X0,X3,X2) != X1) )),
% 5.10/1.08 inference(resolution,[],[f467,f1009])).
% 5.10/1.08 tff(f12419,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12411,f370])).
% 5.10/1.08 tff(f12411,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK15(X0,X2,X3,cons(X0,X1,X2),X1),X3) = X2 | nil(X0) != X3) )),
% 5.10/1.08 inference(resolution,[],[f467,f2717])).
% 5.10/1.08 tff(f12418,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,sK15(X0,X3,X3,cons(X0,X1,X2),X1),X3) = X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12409,f370])).
% 5.10/1.08 tff(f12409,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK15(X0,X3,X3,cons(X0,X1,X2),X1),X3) = X3 | nil(X0) != X2) )),
% 5.10/1.08 inference(resolution,[],[f467,f2649])).
% 5.10/1.08 tff(f12417,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12408,f569])).
% 5.10/1.08 tff(f12408,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = insert(X0,X1,nil(X0)) | append(X0,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1),X2) = X2) )),
% 5.10/1.08 inference(resolution,[],[f467,f619])).
% 5.10/1.08 tff(f12416,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12407,f370])).
% 5.10/1.08 tff(f12407,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | append(X0,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1),nil(X0)) = X2) )),
% 5.10/1.08 inference(resolution,[],[f467,f616])).
% 5.10/1.08 tff(f467,plain,(
% 5.10/1.08 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP1(X2,X0,X1,X3,X4) | nil(X2) = X3 | append(X2,sK15(X2,X0,X1,X3,X4),X1) = X0) )),
% 5.10/1.08 inference(cnf_transformation,[],[f304])).
% 5.10/1.08 tff(f12399,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | rev(X0,X2) != X4 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8773,f823])).
% 5.10/1.08 tff(f12394,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | rev(X0,X2) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8773,f641])).
% 5.10/1.08 tff(f12393,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | rev(X0,X2) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8773,f641])).
% 5.10/1.08 tff(f12405,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | rev(X0,X2) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12391,f328])).
% 5.10/1.08 tff(f12391,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,rev(X0,X3))) != X4 | rev(X0,X2) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8773,f823])).
% 5.10/1.08 tff(f12387,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | rev(X0,sK8(X0,X1)) != X2 | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f8773,f351])).
% 5.10/1.08 tff(f12386,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | rev(X0,sK4(X0,X1)) != X2 | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f8773,f347])).
% 5.10/1.08 tff(f12382,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | rev(X0,append(X0,X2,X3)) != X4) )),
% 5.10/1.08 inference(superposition,[],[f8773,f430])).
% 5.10/1.08 tff(f8773,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != X3 | rev(X0,X1) != X3) )),
% 5.10/1.08 inference(superposition,[],[f7841,f328])).
% 5.10/1.08 tff(f12381,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = takeWhile(X0,X2,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12380,f323])).
% 5.10/1.08 tff(f12380,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = takeWhile(X0,X2,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12370,f326])).
% 5.10/1.08 tff(f12370,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | nil(X0) = takeWhile(X0,X2,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f8683,f631])).
% 5.10/1.08 tff(f12379,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,X2) | nil(X0) = takeWhile(X0,X3,X1) | rev(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12369,f328])).
% 5.10/1.08 tff(f12369,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X2))) | nil(X0) = takeWhile(X0,X3,X1) | rev(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.08 inference(superposition,[],[f8683,f823])).
% 5.10/1.08 tff(f12378,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12377,f323])).
% 5.10/1.08 tff(f12377,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12368,f565])).
% 5.10/1.08 tff(f12368,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X2,nil(X0)))) | nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f8683,f2662])).
% 5.10/1.08 tff(f12376,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12375,f323])).
% 5.10/1.08 tff(f12375,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12367,f334])).
% 5.10/1.08 tff(f12367,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,takeWhile(X0,X2,nil(X0))) | nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f8683,f9121])).
% 5.10/1.08 tff(f12374,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12373,f323])).
% 5.10/1.08 tff(f12373,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12366,f333])).
% 5.10/1.08 tff(f12366,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,dropWhile(X0,X2,nil(X0))) | nil(X0) = takeWhile(X0,X3,X1) | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f8683,f10657])).
% 5.10/1.08 tff(f12364,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = takeWhile(X0,X3,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.08 inference(superposition,[],[f8683,f641])).
% 5.10/1.08 tff(f12363,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = takeWhile(X0,X3,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.08 inference(superposition,[],[f8683,f641])).
% 5.10/1.08 tff(f12372,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = takeWhile(X0,X3,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12360,f328])).
% 5.10/1.08 tff(f12360,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,rev(X0,X2)))) | nil(X0) = takeWhile(X0,X3,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.08 inference(superposition,[],[f8683,f823])).
% 5.10/1.08 tff(f8683,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (~null(X0,rev(X0,rotate1(X0,X2))) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f5031,f376])).
% 5.10/1.08 tff(f12354,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12346,f370])).
% 5.10/1.08 tff(f12346,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(resolution,[],[f465,f534])).
% 5.10/1.08 tff(f12353,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (cons(X0,X1,takeWhile(X0,X2,X3)) = cons(X0,X1,sK15(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12345,f370])).
% 5.10/1.08 tff(f12345,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,takeWhile(X0,X2,X3)) | cons(X0,X1,takeWhile(X0,X2,X3)) = cons(X0,X1,sK15(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),X1))) )),
% 5.10/1.08 inference(resolution,[],[f465,f1097])).
% 5.10/1.08 tff(f12352,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,sK15(X0,X3,nil(X0),X1,X2)) = X1 | cons(X0,X2,X3) != X1) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12344,f3138])).
% 5.10/1.08 tff(f12344,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | cons(X0,X2,sK15(X0,X3,nil(X0),X1,X2)) = X1 | cons(X0,X2,X3) != X1) )),
% 5.10/1.08 inference(resolution,[],[f465,f1009])).
% 5.10/1.08 tff(f12351,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12343,f370])).
% 5.10/1.08 tff(f12343,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,X3,cons(X0,X1,X2),X1)) | nil(X0) != X3) )),
% 5.10/1.08 inference(resolution,[],[f465,f2717])).
% 5.10/1.08 tff(f12350,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X3,X3,cons(X0,X1,X2),X1)) | nil(X0) != X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12341,f370])).
% 5.10/1.08 tff(f12341,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X3,X3,cons(X0,X1,X2),X1)) | nil(X0) != X2) )),
% 5.10/1.08 inference(resolution,[],[f465,f2649])).
% 5.10/1.08 tff(f12349,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12340,f569])).
% 5.10/1.08 tff(f12340,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = insert(X0,X1,nil(X0)) | insert(X0,X1,nil(X0)) = cons(X0,X1,sK15(X0,X2,X2,insert(X0,X1,nil(X0)),X1))) )),
% 5.10/1.08 inference(resolution,[],[f465,f619])).
% 5.10/1.08 tff(f12348,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12339,f370])).
% 5.10/1.08 tff(f12339,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,X2) | cons(X0,X1,X2) = cons(X0,X1,sK15(X0,X2,nil(X0),cons(X0,X1,X2),X1))) )),
% 5.10/1.08 inference(resolution,[],[f465,f616])).
% 5.10/1.08 tff(f465,plain,(
% 5.10/1.08 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (~sP1(X2,X0,X1,X3,X4) | nil(X2) = X3 | cons(X2,X4,sK15(X2,X0,X1,X3,X4)) = X3) )),
% 5.10/1.08 inference(cnf_transformation,[],[f304])).
% 5.10/1.08 tff(f12335,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,cons(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12324,f370])).
% 5.10/1.08 tff(f12324,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,cons(X0,X1,X2)) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f4515,f8564])).
% 5.10/1.08 tff(f12334,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12333,f2976])).
% 5.10/1.08 tff(f12333,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,sK7(X0,cons(X0,X1,X2)),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12319,f370])).
% 5.10/1.08 tff(f12319,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,sK7(X0,cons(X0,X1,X2)),nil(X0)) | nil(X0) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f351,f8564])).
% 5.10/1.08 tff(f12318,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2997,f8564])).
% 5.10/1.08 tff(f12313,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != X2 | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8564,f823])).
% 5.10/1.08 tff(f12331,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = sK8(X0,X3) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12306,f328])).
% 5.10/1.08 tff(f12306,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = sK8(X0,rev(X0,rev(X0,X3))) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8564,f823])).
% 5.10/1.08 tff(f12301,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK8(X0,X1) | nil(X0) != sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f8564,f347])).
% 5.10/1.08 tff(f12297,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = sK8(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) != append(X0,X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f8564,f430])).
% 5.10/1.08 tff(f8564,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK8(X0,cons(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(forward_demodulation,[],[f8554,f4506])).
% 5.10/1.08 tff(f8554,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != sK4(X0,cons(X0,X1,X2)) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f4528,f2997])).
% 5.10/1.08 tff(f12294,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,nil(X0),X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12281,f328])).
% 5.10/1.08 tff(f12281,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),nil(X0),X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8464,f823])).
% 5.10/1.08 tff(f12287,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X2,dropWhile(X0,X3,X1)) = X2 | nil(X0) != X1) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12271,f331])).
% 5.10/1.08 tff(f12271,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X2,nil(X0)) = append(X0,X2,dropWhile(X0,X3,X1))) )),
% 5.10/1.08 inference(resolution,[],[f8464,f464])).
% 5.10/1.08 tff(f8464,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X3,X3) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2931,f376])).
% 5.10/1.08 tff(f12268,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),X3,X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12255,f328])).
% 5.10/1.08 tff(f12255,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),rev(X0,rev(X0,X3)),X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8448,f823])).
% 5.10/1.08 tff(f8448,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),X3,X3) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2892,f376])).
% 5.10/1.08 tff(f12242,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X3,nil(X0)) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12229,f328])).
% 5.10/1.08 tff(f12229,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,rev(X0,rev(X0,X3)),nil(X0)) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8432,f823])).
% 5.10/1.08 tff(f12235,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,takeWhile(X0,X2,X1),X3) = X3 | nil(X0) != X1) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12218,f332])).
% 5.10/1.08 tff(f12218,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | append(X0,nil(X0),X3) = append(X0,takeWhile(X0,X2,X1),X3)) )),
% 5.10/1.08 inference(resolution,[],[f8432,f464])).
% 5.10/1.08 tff(f8432,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2834,f376])).
% 5.10/1.08 tff(f12215,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,nil(X0),X3) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12202,f328])).
% 5.10/1.08 tff(f12202,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,nil(X0),rev(X0,rev(X0,X3))) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f8416,f823])).
% 5.10/1.08 tff(f8416,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f2805,f376])).
% 5.10/1.08 tff(f12190,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (dropWhile(X0,X4,X5) != X3 | ~null(X0,rev(X0,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12183,f328])).
% 5.10/1.08 tff(f12183,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != dropWhile(X0,X4,X5) | ~null(X0,rev(X0,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f12156,f823])).
% 5.10/1.08 tff(f12179,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | ~null(X0,rev(X0,X3)) | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f12156,f351])).
% 5.10/1.08 tff(f12178,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | ~null(X0,rev(X0,X3)) | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f12156,f347])).
% 5.10/1.08 tff(f12175,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != dropWhile(X0,X2,X3) | ~null(X0,rev(X0,X3))) )),
% 5.10/1.08 inference(superposition,[],[f12156,f335])).
% 5.10/1.08 tff(f12174,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != dropWhile(X0,X4,X5) | ~null(X0,rev(X0,X5))) )),
% 5.10/1.08 inference(superposition,[],[f12156,f430])).
% 5.10/1.08 tff(f12188,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X3 | ~null(X0,rev(X0,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12172,f328])).
% 5.10/1.08 tff(f12172,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | ~null(X0,rev(X0,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f12156,f823])).
% 5.10/1.08 tff(f12156,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (dropWhile(X0,X1,X2) != cons(X0,X3,X4) | ~null(X0,rev(X0,X2))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12103,f5313])).
% 5.10/1.08 tff(f12103,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = rev(X0,cons(X0,X3,X4)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2233,f454])).
% 5.10/1.08 tff(f12162,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (last(X0,X2) = sK6(X0,cons(X0,X3,X4)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12132,f370])).
% 5.10/1.08 tff(f12132,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (last(X0,X2) = sK6(X0,cons(X0,X3,X4)) | nil(X0) = cons(X0,X3,X4) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f7166,f454])).
% 5.10/1.08 tff(f12161,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,X2))) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12129,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,X2))) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f5031,f454])).
% 5.10/1.08 tff(f12160,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK7(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12126,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sK7(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f3014,f454])).
% 5.10/1.08 tff(f12159,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK7(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12125,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sK7(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f3013,f454])).
% 5.10/1.08 tff(f12118,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,cons(X0,X3,X4),X2,X5,X5) | nil(X0) != takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2716,f454])).
% 5.10/1.08 tff(f12117,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,X5,cons(X0,X3,X4),takeWhile(X0,X1,X2),X2) | nil(X0) != X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2715,f454])).
% 5.10/1.08 tff(f12116,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,X2,cons(X0,X3,X4),X5,X5) | nil(X0) != takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2714,f454])).
% 5.10/1.08 tff(f12115,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,cons(X0,X3,X4),X5,X2,takeWhile(X0,X1,X2)) | nil(X0) != X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2713,f454])).
% 5.10/1.08 tff(f12113,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,cons(X0,X3,X4),X2,X5,takeWhile(X0,X1,X2)) | nil(X0) != X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2648,f454])).
% 5.10/1.08 tff(f12111,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,X2,cons(X0,X3,X4),takeWhile(X0,X1,X2),X5) | nil(X0) != X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2646,f454])).
% 5.10/1.08 tff(f12158,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK3(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12109,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sK3(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2587,f454])).
% 5.10/1.08 tff(f12157,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK3(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12108,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sK3(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2586,f454])).
% 5.10/1.08 tff(f12106,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) = X2 | nil(X0) != takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2570,f454])).
% 5.10/1.08 tff(f12155,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (hd(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12102,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (hd(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2213,f454])).
% 5.10/1.08 tff(f12154,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (hd(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12101,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (hd(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2212,f454])).
% 5.10/1.08 tff(f12098,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,cons(X0,X3,X4),X2,nil(X0),takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f607,f454])).
% 5.10/1.08 tff(f12097,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),cons(X0,X3,X4),takeWhile(X0,X1,X2),X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f604,f454])).
% 5.10/1.08 tff(f12096,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,cons(X0,X3,X4),takeWhile(X0,X1,X2),nil(X0)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f599,f454])).
% 5.10/1.08 tff(f12095,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,cons(X0,X3,X4),nil(X0),X2,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f596,f454])).
% 5.10/1.08 tff(f12094,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : X0] : (sP2(X0,X2,cons(X0,X3,X4),cons(X0,X5,takeWhile(X0,X1,X2)),X5) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f538,f454])).
% 5.10/1.08 tff(f12093,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : X0] : (sP1(X0,X2,cons(X0,X3,X4),cons(X0,X5,takeWhile(X0,X1,X2)),X5) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f534,f454])).
% 5.10/1.08 tff(f12092,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,X5,append(X0,cons(X0,X3,X4),X5),takeWhile(X0,X1,X2),X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f532,f454])).
% 5.10/1.08 tff(f12091,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,cons(X0,X3,X4),X2,X5,append(X0,X5,takeWhile(X0,X1,X2))) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f532,f454])).
% 5.10/1.08 tff(f12090,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,append(X0,cons(X0,X3,X4),X5),X5,X2,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f530,f454])).
% 5.10/1.08 tff(f12089,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (sP0(X0,X2,cons(X0,X3,X4),append(X0,X5,takeWhile(X0,X1,X2)),X5) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f530,f454])).
% 5.10/1.08 tff(f12088,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X6 : list(X0),X4 : list(X0),X5 : X0] : (cons(X0,X5,X6) != X2 | sP2(X0,X6,cons(X0,X3,X4),takeWhile(X0,X1,X2),X5) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f479,f454])).
% 5.10/1.08 tff(f12087,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X6 : list(X0),X4 : list(X0),X5 : X0] : (cons(X0,X5,X6) != X2 | sP1(X0,X6,cons(X0,X3,X4),takeWhile(X0,X1,X2),X5) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f471,f454])).
% 5.10/1.08 tff(f12086,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X6 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X5,X6) != X2 | sP0(X0,cons(X0,X3,X4),X6,X5,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f463,f454])).
% 5.10/1.08 tff(f12085,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X6 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X5,X6) != X2 | sP0(X0,X6,cons(X0,X3,X4),takeWhile(X0,X1,X2),X5) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f463,f454])).
% 5.10/1.08 tff(f12084,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,takeWhile(X0,X1,X2),X5) != X2 | cons(X0,X3,X4) = X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f445,f454])).
% 5.10/1.08 tff(f12083,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,takeWhile(X0,X1,X2),X5) != X2 | cons(X0,X3,X4) = X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f445,f454])).
% 5.10/1.08 tff(f12082,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,X5,cons(X0,X3,X4)) != X2 | takeWhile(X0,X1,X2) = X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f443,f454])).
% 5.10/1.08 tff(f12081,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,X5,cons(X0,X3,X4)) != X2 | takeWhile(X0,X1,X2) = X5 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f443,f454])).
% 5.10/1.08 tff(f12080,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : X0] : (cons(X0,X5,X2) = append(X0,cons(X0,X5,takeWhile(X0,X1,X2)),cons(X0,X3,X4)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f430,f454])).
% 5.10/1.08 tff(f12079,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (append(X0,X2,X5) = append(X0,takeWhile(X0,X1,X2),append(X0,cons(X0,X3,X4),X5)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f429,f454])).
% 5.10/1.08 tff(f12076,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f409,f454])).
% 5.10/1.08 tff(f12153,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,X2) != X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12075,f370])).
% 5.10/1.08 tff(f12075,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,X2) != X2 | nil(X0) = cons(X0,X3,X4) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f407,f454])).
% 5.10/1.08 tff(f12152,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (butlast(X0,X2) = append(X0,takeWhile(X0,X1,X2),butlast(X0,cons(X0,X3,X4))) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12074,f370])).
% 5.10/1.08 tff(f12074,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (butlast(X0,X2) = append(X0,takeWhile(X0,X1,X2),butlast(X0,cons(X0,X3,X4))) | nil(X0) = cons(X0,X3,X4) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f389,f454])).
% 5.10/1.08 tff(f12151,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (hd(X0,X2) = hd(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12073,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (hd(X0,X2) = hd(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f387,f454])).
% 5.10/1.08 tff(f12150,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (last(X0,X2) = last(X0,cons(X0,X3,X4)) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f12072,f370])).
% 5.10/1.08 tff(f12072,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (last(X0,X2) = last(X0,cons(X0,X3,X4)) | nil(X0) = cons(X0,X3,X4) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f385,f454])).
% 5.10/1.08 tff(f12070,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X5,X2) | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.08 inference(superposition,[],[f6502,f454])).
% 5.10/1.08 tff(f12069,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : X0] : (last(X0,X2) = X4 | dropWhile(X0,X1,X2) != cons(X0,X3,insert(X0,X4,nil(X0)))) )),
% 5.10/1.08 inference(superposition,[],[f2374,f454])).
% 5.10/1.08 tff(f12066,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | append(X0,takeWhile(X0,X1,X2),cons(X0,X3,X4)) != X5) )),
% 5.10/1.08 inference(superposition,[],[f454,f823])).
% 5.10/1.08 tff(f12062,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f2570])).
% 5.10/1.08 tff(f12149,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,takeWhile(X0,X4,X5),X3) = X5 | cons(X0,X1,X2) != dropWhile(X0,X4,X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12059,f328])).
% 5.10/1.08 tff(f12059,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,takeWhile(X0,X4,X5),rev(X0,rev(X0,X3))) = X5 | cons(X0,X1,X2) != dropWhile(X0,X4,X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f454,f823])).
% 5.10/1.08 tff(f12055,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,takeWhile(X0,X2,X3),X1) = X3 | cons(X0,sK7(X0,X1),sK8(X0,X1)) != dropWhile(X0,X2,X3) | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f454,f351])).
% 5.10/1.08 tff(f12054,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,takeWhile(X0,X2,X3),X1) = X3 | cons(X0,sK3(X0,X1),sK4(X0,X1)) != dropWhile(X0,X2,X3) | nil(X0) = X1) )),
% 5.10/1.08 inference(superposition,[],[f454,f347])).
% 5.10/1.08 tff(f12146,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != dropWhile(X0,X2,X3) | append(X0,takeWhile(X0,X2,X3),insert(X0,X1,nil(X0))) = X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12051,f335])).
% 5.10/1.08 tff(f12051,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (append(X0,takeWhile(X0,X2,X3),insert(X0,X1,nil(X0))) = X3 | cons(X0,X1,nil(X0)) != dropWhile(X0,X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f454,f335])).
% 5.10/1.08 tff(f12145,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != dropWhile(X0,X4,X5) | append(X0,takeWhile(X0,X4,X5),append(X0,cons(X0,X1,X2),X3)) = X5) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12050,f430])).
% 5.10/1.08 tff(f12050,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,takeWhile(X0,X4,X5),append(X0,cons(X0,X1,X2),X3)) = X5 | cons(X0,X1,append(X0,X2,X3)) != dropWhile(X0,X4,X5)) )),
% 5.10/1.08 inference(superposition,[],[f454,f430])).
% 5.10/1.08 tff(f12144,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,nil(X0),cons(X0,X3,X4)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12049,f326])).
% 5.10/1.08 tff(f12049,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,rev(X0,nil(X0)),cons(X0,X3,X4)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f631])).
% 5.10/1.08 tff(f12143,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,X3,cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12048,f328])).
% 5.10/1.08 tff(f12048,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f454,f823])).
% 5.10/1.08 tff(f12142,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,nil(X0),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12047,f565])).
% 5.10/1.08 tff(f12047,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,butlast(X0,insert(X0,X3,nil(X0))),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f2662])).
% 5.10/1.08 tff(f12141,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,nil(X0),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12046,f334])).
% 5.10/1.08 tff(f12046,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,takeWhile(X0,X3,nil(X0)),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f9121])).
% 5.10/1.08 tff(f12140,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,nil(X0),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12045,f333])).
% 5.10/1.08 tff(f12045,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (append(X0,dropWhile(X0,X3,nil(X0)),cons(X0,X4,X5)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X4,X5) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f10657])).
% 5.10/1.08 tff(f12139,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,nil(X0),cons(X0,X3,X4)) = X2 | cons(X0,X3,X4) != X2 | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.08 inference(inner_rewriting,[],[f12043])).
% 5.10/1.08 tff(f12043,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,nil(X0),cons(X0,X3,X4)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.08 inference(superposition,[],[f454,f1092])).
% 5.10/1.08 tff(f12138,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12041,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,nil(X0),cons(X0,X3,X4)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f6411])).
% 5.10/1.08 tff(f12137,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f215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% 5.10/1.08 tff(f12040,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,nil(X0),cons(X0,X3,X4)) = X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.08 inference(superposition,[],[f454,f7905])).
% 5.10/1.08 tff(f454,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) = X3 | cons(X0,X2,X1) != dropWhile(X0,X4,X3)) )),
% 5.10/1.08 inference(cnf_transformation,[],[f294])).
% 5.10/1.08 tff(f294,plain,(
% 5.10/1.08 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : fun(X0,bool)] : ((cons(X0,X2,X1) = dropWhile(X0,X4,X3) | pp(aa(X0,bool,X4,X2)) | append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) != X3) & ((~pp(aa(X0,bool,X4,X2)) & append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) = X3) | cons(X0,X2,X1) != dropWhile(X0,X4,X3)))),
% 5.10/1.08 inference(flattening,[],[f293])).
% 5.10/1.08 tff(f293,plain,(
% 5.10/1.08 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : fun(X0,bool)] : ((cons(X0,X2,X1) = dropWhile(X0,X4,X3) | (pp(aa(X0,bool,X4,X2)) | append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) != X3)) & ((~pp(aa(X0,bool,X4,X2)) & append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) = X3) | cons(X0,X2,X1) != dropWhile(X0,X4,X3)))),
% 5.10/1.08 inference(nnf_transformation,[],[f194])).
% 5.10/1.08 tff(f194,plain,(
% 5.10/1.08 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : fun(X0,bool)] : (cons(X0,X2,X1) = dropWhile(X0,X4,X3) <=> (~pp(aa(X0,bool,X4,X2)) & append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) = X3))),
% 5.10/1.08 inference(rectify,[],[f80])).
% 5.10/1.08 tff(f80,axiom,(
% 5.10/1.08 ! [X0 : $tType,X31 : list(X0),X30 : X0,X11 : list(X0),X25 : fun(X0,bool)] : (dropWhile(X0,X25,X11) = cons(X0,X30,X31) <=> (~pp(aa(X0,bool,X25,X30)) & append(X0,takeWhile(X0,X25,X11),cons(X0,X30,X31)) = X11))),
% 5.10/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_dropWhile__eq__Cons__conv)).
% 5.10/1.08 tff(f12035,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) = sK8(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.08 inference(superposition,[],[f4662,f823])).
% 5.10/1.08 tff(f4662,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) = sK8(X0,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f4653,f328])).
% 5.10/1.08 tff(f4653,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK8(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.08 inference(superposition,[],[f4531,f823])).
% 5.10/1.08 tff(f12029,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) = sK4(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.08 inference(superposition,[],[f4649,f823])).
% 5.10/1.08 tff(f4649,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) = sK4(X0,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f4640,f328])).
% 5.10/1.08 tff(f4640,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = sK4(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.08 inference(superposition,[],[f4513,f823])).
% 5.10/1.08 tff(f12023,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X2,nil(X0),X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f12010,f328])).
% 5.10/1.08 tff(f12010,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,nil(X0),X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f4187,f823])).
% 5.10/1.08 tff(f4187,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1102,f4165])).
% 5.10/1.08 tff(f11997,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,X2,X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11984,f328])).
% 5.10/1.08 tff(f11984,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),rev(X0,rev(X0,X3)),X2,X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f4186,f823])).
% 5.10/1.08 tff(f4186,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),X2,X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1101,f4165])).
% 5.10/1.08 tff(f11971,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X3,X2,nil(X0)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11958,f328])).
% 5.10/1.08 tff(f11958,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),X2,nil(X0)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f4185,f823])).
% 5.10/1.08 tff(f4185,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1100,f4165])).
% 5.10/1.08 tff(f11945,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),X2,X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11932,f328])).
% 5.10/1.08 tff(f11932,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,rev(X0,X3)),nil(X0),X2,X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f4184,f823])).
% 5.10/1.08 tff(f4184,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1099,f4165])).
% 5.10/1.08 tff(f11645,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.08 inference(superposition,[],[f4997,f10657])).
% 5.10/1.08 tff(f11644,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.08 inference(superposition,[],[f4387,f10657])).
% 5.10/1.08 tff(f11643,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK7(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2976,f10657])).
% 5.10/1.08 tff(f11642,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != sK7(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f2973,f10657])).
% 5.10/1.08 tff(f11921,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11641,f333])).
% 5.10/1.08 tff(f11641,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK3(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f3013,f10657])).
% 5.10/1.08 tff(f11920,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11640,f333])).
% 5.10/1.08 tff(f11640,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK7(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f3014,f10657])).
% 5.10/1.08 tff(f11639,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.08 inference(superposition,[],[f2983,f10657])).
% 5.10/1.08 tff(f11919,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),nil(X0),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11638,f333])).
% 5.10/1.08 tff(f11638,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (cons(list(X0),dropWhile(X0,X2,nil(X0)),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f351,f10657])).
% 5.10/1.08 tff(f11918,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11637,f333])).
% 5.10/1.08 tff(f11637,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f1919,f10657])).
% 5.10/1.08 tff(f11917,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11636,f333])).
% 5.10/1.08 tff(f11636,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),dropWhile(X0,X2,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f1927,f10657])).
% 5.10/1.08 tff(f11916,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11635,f333])).
% 5.10/1.08 tff(f11635,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f2514,f10657])).
% 5.10/1.08 tff(f11634,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.08 inference(superposition,[],[f7415,f10657])).
% 5.10/1.08 tff(f11633,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f7310,f10657])).
% 5.10/1.08 tff(f11632,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.08 inference(superposition,[],[f7334,f10657])).
% 5.10/1.08 tff(f11915,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11631,f333])).
% 5.10/1.08 tff(f11631,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7338,f10657])).
% 5.10/1.08 tff(f11914,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11630,f333])).
% 5.10/1.08 tff(f11630,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7339,f10657])).
% 5.10/1.08 tff(f11629,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.08 inference(superposition,[],[f7447,f10657])).
% 5.10/1.08 tff(f11628,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f7313,f10657])).
% 5.10/1.08 tff(f11627,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.08 inference(superposition,[],[f7357,f10657])).
% 5.10/1.08 tff(f11913,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11626,f333])).
% 5.10/1.08 tff(f11626,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7361,f10657])).
% 5.10/1.08 tff(f11912,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11625,f333])).
% 5.10/1.08 tff(f11625,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7362,f10657])).
% 5.10/1.08 tff(f11624,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.08 inference(superposition,[],[f7312,f10657])).
% 5.10/1.08 tff(f11623,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != sK6(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f7301,f10657])).
% 5.10/1.08 tff(f11911,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11622,f333])).
% 5.10/1.08 tff(f11622,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),dropWhile(X0,X2,nil(X0)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f6509,f10657])).
% 5.10/1.08 tff(f11910,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11621,f333])).
% 5.10/1.08 tff(f11621,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f7161,f10657])).
% 5.10/1.08 tff(f11620,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.08 inference(superposition,[],[f4968,f10657])).
% 5.10/1.08 tff(f11619,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.08 inference(superposition,[],[f4385,f10657])).
% 5.10/1.08 tff(f11618,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK3(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2506,f10657])).
% 5.10/1.08 tff(f11617,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != sK3(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f2503,f10657])).
% 5.10/1.08 tff(f11909,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11616,f333])).
% 5.10/1.08 tff(f11616,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK3(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2586,f10657])).
% 5.10/1.08 tff(f11908,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11615,f333])).
% 5.10/1.08 tff(f11615,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK7(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2587,f10657])).
% 5.10/1.08 tff(f11614,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.08 inference(superposition,[],[f2513,f10657])).
% 5.10/1.08 tff(f11907,plain,(
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% 5.10/1.08 inference(superposition,[],[f5581,f10657])).
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% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11599,f333])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f344,f10657])).
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% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
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% 5.10/1.08 inference(forward_demodulation,[],[f11578,f333])).
% 5.10/1.08 tff(f11578,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (dropWhile(X0,X2,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f343,f10657])).
% 5.10/1.08 tff(f11577,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != hd(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f372,f10657])).
% 5.10/1.08 tff(f11576,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != hd(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f571,f10657])).
% 5.10/1.08 tff(f11889,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != hd(list(X0),cons(list(X0),X1,X2)) | dropWhile(X0,X3,nil(X0)) = X1) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11575,f2164])).
% 5.10/1.08 tff(f11575,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),insert(list(X0),X1,nil(list(X0))),X2))) )),
% 5.10/1.08 inference(superposition,[],[f2210,f10657])).
% 5.10/1.08 tff(f11574,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (dropWhile(X0,X4,nil(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.08 inference(superposition,[],[f2135,f10657])).
% 5.10/1.08 tff(f11888,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11573,f333])).
% 5.10/1.08 tff(f11573,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (hd(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f387,f10657])).
% 5.10/1.08 tff(f11887,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11572,f333])).
% 5.10/1.08 tff(f11572,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK3(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2212,f10657])).
% 5.10/1.08 tff(f11886,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11571,f333])).
% 5.10/1.08 tff(f11571,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK7(list(X0),X1) = dropWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2213,f10657])).
% 5.10/1.08 tff(f11885,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11570,f333])).
% 5.10/1.08 tff(f11570,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),dropWhile(X0,X2,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f1813,f10657])).
% 5.10/1.08 tff(f11884,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = maps(X0,X1,X2,X5) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11883,f332])).
% 5.10/1.08 tff(f11883,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,nil(X1),maps(X0,X1,X2,X5)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11569,f333])).
% 5.10/1.08 tff(f11569,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : fun(X1,bool),X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,dropWhile(X1,X4,nil(X1)),maps(X0,X1,X2,X5)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f10657])).
% 5.10/1.08 tff(f11882,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = aa(X0,list(X1),X2,X5) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11881,f331])).
% 5.10/1.08 tff(f11881,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),nil(X1)) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11568,f333])).
% 5.10/1.08 tff(f11568,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : fun(X1,bool),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),dropWhile(X1,X4,nil(X1))) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f10657])).
% 5.10/1.08 tff(f11880,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11879,f335])).
% 5.10/1.08 tff(f11879,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11539,f333])).
% 5.10/1.08 tff(f11539,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,dropWhile(X0,X3,nil(X0))) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2997,f10657])).
% 5.10/1.08 tff(f11537,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f4507,f10657])).
% 5.10/1.08 tff(f11875,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11533,f333])).
% 5.10/1.08 tff(f11533,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool)] : (append(X0,X2,X3) = dropWhile(X0,X4,nil(X0)) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.08 inference(superposition,[],[f4530,f10657])).
% 5.10/1.08 tff(f11868,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11528,f333])).
% 5.10/1.08 tff(f11528,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sK4(X0,X1) = dropWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f4515,f10657])).
% 5.10/1.08 tff(f11526,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X1 | X1 != X3 | nil(X0) = X3 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f3391,f10657])).
% 5.10/1.08 tff(f11525,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X3 | X1 != X3 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f1940,f10657])).
% 5.10/1.08 tff(f11524,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f1917,f10657])).
% 5.10/1.08 tff(f11866,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11523,f333])).
% 5.10/1.08 tff(f11523,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (cons(X0,sK7(X0,X1),dropWhile(X0,X2,nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f351,f10657])).
% 5.10/1.08 tff(f11865,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11522,f333])).
% 5.10/1.08 tff(f11522,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (append(X0,dropWhile(X0,X2,nil(X0)),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f6509,f10657])).
% 5.10/1.08 tff(f11521,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f7232,f10657])).
% 5.10/1.08 tff(f11864,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = butlast(X0,X1) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11520,f333])).
% 5.10/1.08 tff(f11520,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (butlast(X0,X1) = dropWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f7163,f10657])).
% 5.10/1.08 tff(f11862,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11861,f335])).
% 5.10/1.08 tff(f11861,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11518,f333])).
% 5.10/1.08 tff(f11518,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,dropWhile(X0,X3,nil(X0))) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2525,f10657])).
% 5.10/1.08 tff(f11516,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f4506,f10657])).
% 5.10/1.08 tff(f11857,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11512,f333])).
% 5.10/1.08 tff(f11512,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool)] : (append(X0,X2,X3) = dropWhile(X0,X4,nil(X0)) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.08 inference(superposition,[],[f4512,f10657])).
% 5.10/1.08 tff(f11506,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X1 | X1 != X3 | nil(X0) = X3 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f3286,f10657])).
% 5.10/1.08 tff(f11505,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X3 | X1 != X3 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f1906,f10657])).
% 5.10/1.08 tff(f11504,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f1771,f10657])).
% 5.10/1.08 tff(f11849,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11503,f333])).
% 5.10/1.08 tff(f11503,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (cons(X0,sK3(X0,X1),dropWhile(X0,X2,nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f347,f10657])).
% 5.10/1.08 tff(f11830,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11488,f333])).
% 5.10/1.08 tff(f11488,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),dropWhile(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1102,f10657])).
% 5.10/1.08 tff(f11829,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11487,f333])).
% 5.10/1.08 tff(f11487,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),dropWhile(X0,X3,nil(X0)),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1101,f10657])).
% 5.10/1.08 tff(f11828,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11486,f333])).
% 5.10/1.08 tff(f11486,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),dropWhile(X0,X3,nil(X0)),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1100,f10657])).
% 5.10/1.08 tff(f11827,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11485,f333])).
% 5.10/1.08 tff(f11485,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,dropWhile(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1099,f10657])).
% 5.10/1.08 tff(f11826,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11825,f335])).
% 5.10/1.08 tff(f11825,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11484,f333])).
% 5.10/1.08 tff(f11484,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,dropWhile(X0,X3,nil(X0))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1098,f10657])).
% 5.10/1.08 tff(f11824,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11823,f335])).
% 5.10/1.08 tff(f11823,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11483,f333])).
% 5.10/1.08 tff(f11483,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,dropWhile(X0,X3,nil(X0))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1097,f10657])).
% 5.10/1.08 tff(f11822,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11482,f333])).
% 5.10/1.08 tff(f11482,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),dropWhile(X0,X3,nil(X0)),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1096,f10657])).
% 5.10/1.08 tff(f11821,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11820,f331])).
% 5.10/1.08 tff(f11820,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11481,f333])).
% 5.10/1.08 tff(f11481,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,dropWhile(X0,X3,nil(X0)))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1095,f10657])).
% 5.10/1.08 tff(f11819,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11480,f333])).
% 5.10/1.08 tff(f11480,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,dropWhile(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1094,f10657])).
% 5.10/1.08 tff(f11818,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X4,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11817,f331])).
% 5.10/1.08 tff(f11817,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11479,f333])).
% 5.10/1.08 tff(f11479,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,dropWhile(X0,X3,nil(X0))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1093,f10657])).
% 5.10/1.08 tff(f11477,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (dropWhile(X0,X3,nil(X0)) != X2 | nil(X0) = dropWhile(X0,X1,X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1091,f10657])).
% 5.10/1.08 tff(f11814,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11474,f333])).
% 5.10/1.08 tff(f11474,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (append(X0,dropWhile(X0,X3,nil(X0)),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f376,f10657])).
% 5.10/1.08 tff(f11471,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != splice(X0,nil(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f330,f10657])).
% 5.10/1.08 tff(f11465,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != splice(X0,X1,nil(X0))) )),
% 5.10/1.08 inference(superposition,[],[f329,f10657])).
% 5.10/1.08 tff(f11805,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11804,f323])).
% 5.10/1.08 tff(f11804,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11376,f333])).
% 5.10/1.08 tff(f11376,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : fun(X0,bool)] : (~null(X0,dropWhile(X0,X4,nil(X0))) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.08 inference(superposition,[],[f5039,f10657])).
% 5.10/1.08 tff(f11803,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11802,f323])).
% 5.10/1.08 tff(f11802,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11367,f333])).
% 5.10/1.08 tff(f11367,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,dropWhile(X0,X3,nil(X0))) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f5031,f10657])).
% 5.10/1.08 tff(f11801,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11800,f323])).
% 5.10/1.08 tff(f11800,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,nil(X0)) | cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11363,f333])).
% 5.10/1.08 tff(f11363,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,dropWhile(X0,X2,nil(X0))) | cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f4483,f10657])).
% 5.10/1.08 tff(f11359,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f328,f10657])).
% 5.10/1.08 tff(f11358,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X3 | X1 != X3 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f823,f10657])).
% 5.10/1.08 tff(f11799,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.08 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154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% 5.10/1.08 tff(f11356,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0] : (dropWhile(X0,X2,nil(X0)) != X3 | cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f918,f10657])).
% 5.10/1.08 tff(f11798,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11797,f323])).
% 5.10/1.08 tff(f11797,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11328,f333])).
% 5.10/1.08 tff(f11328,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,dropWhile(X0,X3,nil(X0))) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2233,f10657])).
% 5.10/1.08 tff(f11792,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,insert(X0,X3,nil(X0))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11791,f335])).
% 5.10/1.08 tff(f11791,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,nil(X0))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11323,f333])).
% 5.10/1.08 tff(f11323,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,dropWhile(X0,X2,nil(X0)))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f7841,f10657])).
% 5.10/1.08 tff(f11787,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11786,f323])).
% 5.10/1.08 tff(f11786,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11317,f333])).
% 5.10/1.08 tff(f11317,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (~null(X0,dropWhile(X0,X2,nil(X0))) | nil(X0) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f7010,f10657])).
% 5.10/1.08 tff(f11784,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,nil(X0)) != X4 | rev(X0,X4) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11314,f333])).
% 5.10/1.08 tff(f11314,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,dropWhile(X0,X2,nil(X0))) != X4 | rev(X0,X4) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f6448,f10657])).
% 5.10/1.08 tff(f11780,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11779,f4395])).
% 5.10/1.08 tff(f11779,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,insert(X0,X3,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11778,f335])).
% 5.10/1.08 tff(f11778,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11306,f333])).
% 5.10/1.08 tff(f11306,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,dropWhile(X0,X2,nil(X0))))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f5095,f10657])).
% 5.10/1.08 tff(f11777,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (insert(X0,X3,nil(X0)) = rev(X0,cons(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11776,f332])).
% 5.10/1.08 tff(f11776,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,nil(X0),insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11305,f333])).
% 5.10/1.08 tff(f11305,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,dropWhile(X0,X2,nil(X0)),insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f4619,f10657])).
% 5.10/1.08 tff(f11775,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11774,f323])).
% 5.10/1.08 tff(f11774,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11304,f333])).
% 5.10/1.08 tff(f11304,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,dropWhile(X0,X2,nil(X0))) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f3107,f10657])).
% 5.10/1.08 tff(f11768,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11295,f333])).
% 5.10/1.08 tff(f11295,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,dropWhile(X0,X2,nil(X0))) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f823,f10657])).
% 5.10/1.08 tff(f11765,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X3) | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11291,f333])).
% 5.10/1.08 tff(f11291,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = dropWhile(X0,X2,nil(X0)) | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f641,f10657])).
% 5.10/1.08 tff(f11764,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X3) | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11290,f333])).
% 5.10/1.08 tff(f11290,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = dropWhile(X0,X2,nil(X0)) | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f641,f10657])).
% 5.10/1.08 tff(f11289,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X3 | rev(X0,X3) = X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f590,f10657])).
% 5.10/1.08 tff(f11761,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11286,f333])).
% 5.10/1.08 tff(f11286,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != dropWhile(X0,X2,nil(X0)) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f421,f10657])).
% 5.10/1.08 tff(f11760,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11285,f333])).
% 5.10/1.08 tff(f11285,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != dropWhile(X0,X2,nil(X0)) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f421,f10657])).
% 5.10/1.08 tff(f11759,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = rev(X0,append(X0,X1,X3)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11758,f331])).
% 5.10/1.08 tff(f11758,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11284,f333])).
% 5.10/1.08 tff(f11284,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),dropWhile(X0,X2,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f378,f10657])).
% 5.10/1.08 tff(f11757,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = rev(X0,append(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11756,f332])).
% 5.10/1.08 tff(f11756,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,nil(X0),rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11283,f333])).
% 5.10/1.08 tff(f11283,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,dropWhile(X0,X2,nil(X0)),rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f378,f10657])).
% 5.10/1.08 tff(f10919,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != rev(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f8377,f10657])).
% 5.10/1.08 tff(f10915,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != rotate1(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f7795,f10657])).
% 5.10/1.08 tff(f11734,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10907,f333])).
% 5.10/1.08 tff(f10907,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X3,nil(X0)),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1102,f10657])).
% 5.10/1.08 tff(f11733,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10906,f333])).
% 5.10/1.08 tff(f10906,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X3,nil(X0)),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1101,f10657])).
% 5.10/1.08 tff(f11732,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10905,f333])).
% 5.10/1.08 tff(f10905,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X3,nil(X0)),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1100,f10657])).
% 5.10/1.08 tff(f11731,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10904,f333])).
% 5.10/1.08 tff(f10904,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X3,nil(X0)),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1099,f10657])).
% 5.10/1.08 tff(f11730,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,nil(X0),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10903,f333])).
% 5.10/1.08 tff(f10903,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X3,nil(X0)),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1098,f10657])).
% 5.10/1.08 tff(f11729,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,nil(X0),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10902,f333])).
% 5.10/1.08 tff(f10902,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X3,nil(X0)),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1097,f10657])).
% 5.10/1.08 tff(f11728,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11727,f332])).
% 5.10/1.08 tff(f11727,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,nil(X0),X4),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10901,f333])).
% 5.10/1.08 tff(f10901,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X3,nil(X0)),X4),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1096,f10657])).
% 5.10/1.08 tff(f11726,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10900,f333])).
% 5.10/1.08 tff(f10900,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X3,nil(X0)),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1095,f10657])).
% 5.10/1.08 tff(f11725,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f11724,f332])).
% 5.10/1.08 tff(f11724,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,nil(X0),X4),X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10899,f333])).
% 5.10/1.08 tff(f10899,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X3,nil(X0)),X4),X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1094,f10657])).
% 5.10/1.08 tff(f11723,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,nil(X0),append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10898,f333])).
% 5.10/1.08 tff(f10898,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X3,nil(X0)),append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1093,f10657])).
% 5.10/1.08 tff(f11719,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),nil(X0)) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10894,f333])).
% 5.10/1.08 tff(f10894,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X3,nil(X0))) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f376,f10657])).
% 5.10/1.08 tff(f11718,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10892,f333])).
% 5.10/1.08 tff(f10892,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sK4(X0,X1) = dropWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f4494,f10657])).
% 5.10/1.08 tff(f11717,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK8(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10891,f333])).
% 5.10/1.08 tff(f10891,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sK8(X0,X1) = dropWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.08 inference(superposition,[],[f4495,f10657])).
% 5.10/1.08 tff(f10889,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != butlast(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f4314,f10657])).
% 5.10/1.08 tff(f11716,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,X2) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10888,f333])).
% 5.10/1.08 tff(f10888,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (rev(X0,X2) = dropWhile(X0,X3,nil(X0)) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f5503,f10657])).
% 5.10/1.08 tff(f11715,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10882,f333])).
% 5.10/1.08 tff(f10882,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,butlast(X0,X2)) = dropWhile(X0,X3,nil(X0)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f389,f10657])).
% 5.10/1.08 tff(f11714,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != butlast(X0,rotate1(X0,cons(X0,X2,X1))) | dropWhile(X0,X3,nil(X0)) = X1) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10881,f2238])).
% 5.10/1.08 tff(f10881,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != butlast(X0,append(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f1049,f10657])).
% 5.10/1.08 tff(f11712,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10879,f333])).
% 5.10/1.08 tff(f10879,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (append(X0,dropWhile(X0,X2,nil(X0)),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f6354,f10657])).
% 5.10/1.08 tff(f10878,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.08 inference(superposition,[],[f7003,f10657])).
% 5.10/1.08 tff(f11711,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10876,f333])).
% 5.10/1.08 tff(f10876,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : fun(X0,bool)] : (maps(X1,X0,X2,cons(X1,X3,X4)) = dropWhile(X0,X5,nil(X0)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(superposition,[],[f452,f10657])).
% 5.10/1.08 tff(f10874,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f376,f10657])).
% 5.10/1.08 tff(f11710,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,append(X0,X2,X1)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10872,f333])).
% 5.10/1.08 tff(f10872,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = dropWhile(X0,X3,nil(X0)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.08 inference(superposition,[],[f378,f10657])).
% 5.10/1.08 tff(f10871,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f332,f10657])).
% 5.10/1.08 tff(f10870,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X3 | X1 = X3 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f1358,f10657])).
% 5.10/1.08 tff(f11709,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10834,f333])).
% 5.10/1.08 tff(f10834,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X4,nil(X0)),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(superposition,[],[f1094,f10657])).
% 5.10/1.08 tff(f11708,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10833,f333])).
% 5.10/1.08 tff(f10833,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X4,nil(X0)),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(superposition,[],[f1096,f10657])).
% 5.10/1.08 tff(f11707,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10830,f333])).
% 5.10/1.08 tff(f10830,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (append(X0,X1,append(X0,X2,X3)) = dropWhile(X0,X4,nil(X0)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
% 5.10/1.08 inference(superposition,[],[f429,f10657])).
% 5.10/1.08 tff(f11706,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),nil(X0),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10829,f333])).
% 5.10/1.08 tff(f10829,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X2,X3),dropWhile(X0,X4,nil(X0)),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f1093,f10657])).
% 5.10/1.08 tff(f11705,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,nil(X0)) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10828,f333])).
% 5.10/1.08 tff(f10828,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,dropWhile(X0,X4,nil(X0))) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f1095,f10657])).
% 5.10/1.08 tff(f10820,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) = X1 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.08 inference(superposition,[],[f331,f10657])).
% 5.10/1.08 tff(f10819,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,nil(X0)) != X3 | X1 = X3 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.08 inference(superposition,[],[f1338,f10657])).
% 5.10/1.08 tff(f11700,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,nil(X0)) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10782,f333])).
% 5.10/1.08 tff(f10782,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,dropWhile(X0,X3,nil(X0))) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2715,f10657])).
% 5.10/1.08 tff(f11697,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,nil(X0),X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10780,f333])).
% 5.10/1.08 tff(f10780,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,dropWhile(X0,X3,nil(X0)),X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2713,f10657])).
% 5.10/1.08 tff(f11696,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10778,f333])).
% 5.10/1.08 tff(f10778,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X3,nil(X0)),X4,X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2648,f10657])).
% 5.10/1.08 tff(f11693,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X4) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10776,f333])).
% 5.10/1.08 tff(f10776,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X3,nil(X0)),X2,X1,X4) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2646,f10657])).
% 5.10/1.08 tff(f11690,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f10772,f416])).
% 5.10/1.08 tff(f10772,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2571,f10657])).
% 5.10/1.08 tff(f11689,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f10771,f415])).
% 5.10/1.08 tff(f10771,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (dropWhile(X0,X3,nil(X0)) = X2 | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2570,f10657])).
% 5.10/1.08 tff(f11688,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(subsumption_resolution,[],[f11687,f323])).
% 5.10/1.08 tff(f11687,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (~null(X0,nil(X0)) | X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10770,f333])).
% 5.10/1.08 tff(f10770,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (~null(X0,dropWhile(X0,X3,nil(X0))) | X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f2321,f10657])).
% 5.10/1.08 tff(f11682,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,nil(X0),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10759,f333])).
% 5.10/1.08 tff(f10759,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : X0] : (sP2(X0,dropWhile(X0,X3,nil(X0)),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f538,f10657])).
% 5.10/1.08 tff(f11681,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,nil(X0),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10758,f333])).
% 5.10/1.08 tff(f10758,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : X0] : (sP1(X0,dropWhile(X0,X3,nil(X0)),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f534,f10657])).
% 5.10/1.08 tff(f11680,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10757,f333])).
% 5.10/1.08 tff(f10757,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,dropWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f532,f10657])).
% 5.10/1.08 tff(f11679,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,append(X0,X4,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10756,f333])).
% 5.10/1.08 tff(f10756,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X3,nil(X0)),X4,append(X0,X4,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f532,f10657])).
% 5.10/1.08 tff(f11678,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10755,f333])).
% 5.10/1.08 tff(f10755,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,dropWhile(X0,X3,nil(X0)),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f530,f10657])).
% 5.10/1.08 tff(f11677,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,append(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10754,f333])).
% 5.10/1.08 tff(f10754,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X3,nil(X0)),X2,append(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f530,f10657])).
% 5.10/1.08 tff(f11674,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | sP0(X0,X2,X5,X4,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10751,f333])).
% 5.10/1.08 tff(f10751,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != dropWhile(X0,X3,nil(X0)) | sP0(X0,X2,X5,X4,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f463,f10657])).
% 5.10/1.08 tff(f11673,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | sP0(X0,X5,X2,X1,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10750,f333])).
% 5.10/1.08 tff(f10750,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != dropWhile(X0,X3,nil(X0)) | sP0(X0,X5,X2,X1,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f463,f10657])).
% 5.10/1.08 tff(f11672,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,X4) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10749,f333])).
% 5.10/1.08 tff(f10749,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != dropWhile(X0,X3,nil(X0)) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f445,f10657])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,X4) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X2) != dropWhile(X0,X3,nil(X0)) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f443,f10657])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,X2) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10746,f333])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X2) != dropWhile(X0,X3,nil(X0)) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f443,f10657])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X4,nil(X0)) = append(X0,cons(X0,X4,X1),X2) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (append(X0,cons(X0,X4,X1),X2) = cons(X0,X4,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = X4 | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.08 inference(forward_demodulation,[],[f10744,f333])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = append(X0,dropWhile(X0,X3,nil(X0)),X4) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X2)) = X3 | nil(X0) != X3 | dropWhile(X0,X1,nil(X0)) != X2) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,nil(X0)) = X2 | nil(X0) != X2) )),
% 5.10/1.08 inference(trivial_inequality_removal,[],[f10654])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X3,nil(X0)),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),dropWhile(X0,X3,dropWhile(X0,X1,X2)),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1094,f4173])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X3,nil(X0)),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X3,dropWhile(X0,X1,X2)),dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.08 inference(superposition,[],[f1096,f4173])).
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% 5.10/1.08 inference(superposition,[],[f429,f4173])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,dropWhile(X0,X2,X1),nil(X0),X3,X3)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,dropWhile(X0,X2,X1),nil(X0),X3,X3) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | sP0(X0,nil(X0),dropWhile(X0,X2,X1),X3,X3) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X1),X1,X1) | nil(X0) != X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X1),X3,X1,X1) | nil(X0) != X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X1),X1,X3,X1) | nil(X0) != X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X1),X1,X3) | nil(X0) != X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X1),X1,nil(X0),X1) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP0(X0,nil(X0),dropWhile(X0,X2,X1),X1,X1) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X1),X1,nil(X0)) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X1),nil(X0),X1,X1) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0)] : (sP2(X0,X1,dropWhile(X0,X2,X1),cons(X0,X3,X1),X3) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0)] : (sP1(X0,X1,dropWhile(X0,X2,X1),cons(X0,X3,X1),X3) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,dropWhile(X0,X2,X1),X3),X1,X1) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X1),X1,X3,append(X0,X3,X1)) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X2,X1),X3),X3,X1,X1) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,dropWhile(X0,X2,X1),append(X0,X3,X1),X3) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,dropWhile(X0,X2,X1),X4,X3,X1) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,X4,dropWhile(X0,X2,X1),X1,X3) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | dropWhile(X0,X2,X1) = X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | dropWhile(X0,X2,X1) = X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,dropWhile(X0,X2,X1)) != X1 | X1 = X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,dropWhile(X0,X2,X1)) != X1 | X1 = X3 | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = append(X0,cons(X0,X3,X1),dropWhile(X0,X2,X1)) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) = append(X0,X1,append(X0,dropWhile(X0,X2,X1),X3)) | nil(X0) != X1) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | nil(X0) != X1 | append(X0,X1,dropWhile(X0,X2,X1)) != X3) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,dropWhile(X0,X3,append(X0,X1,X2)))) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,X3) = X2 | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,rev(X0,rev(X0,X3))) = X2 | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,dropWhile(X0,X1,X2)) = X2 | nil(X0) != X2) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,nil(X0),rev(X0,rev(X0,X3))) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
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% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,X3,X2) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
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% 5.10/1.08 tff(f10503,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,rev(X0,rev(X0,X3)),X2) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f3562,f823])).
% 5.10/1.08 tff(f3562,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,takeWhile(X0,X1,X2),X2) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1101,f3545])).
% 5.10/1.08 tff(f10471,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (last(X0,maps(X1,X0,X2,cons(X1,X3,X4))) = sK6(X0,maps(X1,X0,X2,X4)) | nil(X0) = maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f7166,f452])).
% 5.10/1.08 tff(f10470,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X6 : list(X0),X4 : list(X1),X5 : X0] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | maps(X1,X0,X2,X4) != cons(X0,X5,X6)) )),
% 5.10/1.08 inference(superposition,[],[f6508,f452])).
% 5.10/1.08 tff(f10469,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != rev(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f6485,f452])).
% 5.10/1.08 tff(f10468,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (~null(X0,rev(X0,rotate1(X0,maps(X1,X0,X2,cons(X1,X3,X4))))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f5031,f452])).
% 5.10/1.08 tff(f10467,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != rotate1(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f4855,f452])).
% 5.10/1.08 tff(f10466,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) = rev(X0,maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(superposition,[],[f3119,f452])).
% 5.10/1.08 tff(f10465,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sK7(X0,aa(X1,list(X0),X2,X3)) = sK7(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f3014,f452])).
% 5.10/1.08 tff(f10464,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sK3(X0,aa(X1,list(X0),X2,X3)) = sK7(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f3013,f452])).
% 5.10/1.08 tff(f10463,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | sP0(X0,maps(X1,X0,X2,X4),nil(X0),X5,X5)) )),
% 5.10/1.08 inference(superposition,[],[f2931,f452])).
% 5.10/1.08 tff(f10462,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | sP0(X0,nil(X0),maps(X1,X0,X2,X4),X5,X5)) )),
% 5.10/1.08 inference(superposition,[],[f2892,f452])).
% 5.10/1.08 tff(f10461,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | sP0(X0,X5,X5,aa(X1,list(X0),X2,X3),nil(X0))) )),
% 5.10/1.08 inference(superposition,[],[f2834,f452])).
% 5.10/1.08 tff(f10460,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | sP0(X0,X5,X5,nil(X0),aa(X1,list(X0),X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f2805,f452])).
% 5.10/1.08 tff(f10492,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) = aa(X1,list(X0),X2,X3) | nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10459,f326])).
% 5.10/1.08 tff(f10459,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | rev(X0,nil(X0)) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2759,f452])).
% 5.10/1.08 tff(f10458,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : X0] : (maps(X1,X0,X2,cons(X1,X3,X4)) != cons(X0,X5,aa(X1,list(X0),X2,X3)) | nil(X0) != maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2747,f452])).
% 5.10/1.08 tff(f10457,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,X4),maps(X1,X0,X2,cons(X1,X3,X4)),X5,X5) | nil(X0) != aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2716,f452])).
% 5.10/1.08 tff(f10456,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,X5,maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) != X5) )),
% 5.10/1.08 inference(superposition,[],[f2715,f452])).
% 5.10/1.08 tff(f10455,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,cons(X1,X3,X4)),maps(X1,X0,X2,X4),X5,X5) | nil(X0) != aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2714,f452])).
% 5.10/1.08 tff(f10454,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,X4),X5,maps(X1,X0,X2,cons(X1,X3,X4)),aa(X1,list(X0),X2,X3)) | nil(X0) != X5) )),
% 5.10/1.08 inference(superposition,[],[f2713,f452])).
% 5.10/1.08 tff(f10491,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) = maps(X1,X0,X2,X4) | nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10453,f326])).
% 5.10/1.08 tff(f10453,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | rev(X0,nil(X0)) = maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2691,f452])).
% 5.10/1.08 tff(f10452,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,X4),maps(X1,X0,X2,cons(X1,X3,X4)),X5,aa(X1,list(X0),X2,X3)) | nil(X0) != X5) )),
% 5.10/1.08 inference(superposition,[],[f2648,f452])).
% 5.10/1.08 tff(f10451,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,X5,X5,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) != maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2647,f452])).
% 5.10/1.08 tff(f10450,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,cons(X1,X3,X4)),maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),X5) | nil(X0) != X5) )),
% 5.10/1.08 inference(superposition,[],[f2646,f452])).
% 5.10/1.08 tff(f10449,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,X5,X5,maps(X1,X0,X2,cons(X1,X3,X4)),aa(X1,list(X0),X2,X3)) | nil(X0) != maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2645,f452])).
% 5.10/1.08 tff(f10448,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sK7(X0,aa(X1,list(X0),X2,X3)) = sK3(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2587,f452])).
% 5.10/1.08 tff(f10447,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sK3(X0,aa(X1,list(X0),X2,X3)) = sK3(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2586,f452])).
% 5.10/1.08 tff(f10446,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (aa(X1,list(X0),X2,X3) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f2571,f452])).
% 5.10/1.08 tff(f10445,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (maps(X1,X0,X2,X4) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2570,f452])).
% 5.10/1.08 tff(f10444,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (~null(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | aa(X1,list(X0),X2,X3) != X5 | nil(X0) = X5) )),
% 5.10/1.08 inference(superposition,[],[f2321,f452])).
% 5.10/1.08 tff(f10443,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != X5 | nil(X0) = aa(X1,list(X0),X2,X3) | ~null(X0,X5)) )),
% 5.10/1.08 inference(superposition,[],[f2237,f452])).
% 5.10/1.08 tff(f10442,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (~null(X0,rev(X0,maps(X1,X0,X2,cons(X1,X3,X4)))) | nil(X0) = rev(X0,maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(superposition,[],[f2233,f452])).
% 5.10/1.08 tff(f10441,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (hd(X0,maps(X1,X0,X2,cons(X1,X3,X4))) = sK7(X0,aa(X1,list(X0),X2,X3)) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2213,f452])).
% 5.10/1.08 tff(f10440,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (hd(X0,maps(X1,X0,X2,cons(X1,X3,X4))) = sK3(X0,aa(X1,list(X0),X2,X3)) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2212,f452])).
% 5.10/1.08 tff(f10439,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X6 : list(X0),X4 : list(X1),X5 : X0] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | aa(X1,list(X0),X2,X3) != cons(X0,X5,X6)) )),
% 5.10/1.08 inference(superposition,[],[f2209,f452])).
% 5.10/1.08 tff(f10438,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (~null(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f2179,f452])).
% 5.10/1.08 tff(f10437,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sP0(X0,maps(X1,X0,X2,X4),maps(X1,X0,X2,cons(X1,X3,X4)),nil(X0),aa(X1,list(X0),X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f607,f452])).
% 5.10/1.08 tff(f10436,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sP0(X0,nil(X0),maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),maps(X1,X0,X2,cons(X1,X3,X4)))) )),
% 5.10/1.08 inference(superposition,[],[f604,f452])).
% 5.10/1.08 tff(f10435,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sP0(X0,maps(X1,X0,X2,cons(X1,X3,X4)),maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),nil(X0))) )),
% 5.10/1.08 inference(superposition,[],[f599,f452])).
% 5.10/1.08 tff(f10434,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (sP0(X0,maps(X1,X0,X2,X4),nil(X0),maps(X1,X0,X2,cons(X1,X3,X4)),aa(X1,list(X0),X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f596,f452])).
% 5.10/1.08 tff(f10433,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : X0] : (sP2(X0,maps(X1,X0,X2,cons(X1,X3,X4)),maps(X1,X0,X2,X4),cons(X0,X5,aa(X1,list(X0),X2,X3)),X5)) )),
% 5.10/1.08 inference(superposition,[],[f538,f452])).
% 5.10/1.08 tff(f10432,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : X0] : (sP1(X0,maps(X1,X0,X2,cons(X1,X3,X4)),maps(X1,X0,X2,X4),cons(X0,X5,aa(X1,list(X0),X2,X3)),X5)) )),
% 5.10/1.08 inference(superposition,[],[f534,f452])).
% 5.10/1.08 tff(f10431,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,X5,append(X0,maps(X1,X0,X2,X4),X5),aa(X1,list(X0),X2,X3),maps(X1,X0,X2,cons(X1,X3,X4)))) )),
% 5.10/1.08 inference(superposition,[],[f532,f452])).
% 5.10/1.08 tff(f10430,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,X4),maps(X1,X0,X2,cons(X1,X3,X4)),X5,append(X0,X5,aa(X1,list(X0),X2,X3)))) )),
% 5.10/1.08 inference(superposition,[],[f532,f452])).
% 5.10/1.08 tff(f10429,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,append(X0,maps(X1,X0,X2,X4),X5),X5,maps(X1,X0,X2,cons(X1,X3,X4)),aa(X1,list(X0),X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f530,f452])).
% 5.10/1.08 tff(f10428,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (sP0(X0,maps(X1,X0,X2,cons(X1,X3,X4)),maps(X1,X0,X2,X4),append(X0,X5,aa(X1,list(X0),X2,X3)),X5)) )),
% 5.10/1.08 inference(superposition,[],[f530,f452])).
% 5.10/1.08 tff(f10427,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X6 : list(X0),X4 : list(X1),X5 : X0] : (maps(X1,X0,X2,cons(X1,X3,X4)) != cons(X0,X5,X6) | sP2(X0,X6,maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),X5)) )),
% 5.10/1.08 inference(superposition,[],[f479,f452])).
% 5.10/1.08 tff(f10426,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X6 : list(X0),X4 : list(X1),X5 : X0] : (maps(X1,X0,X2,cons(X1,X3,X4)) != cons(X0,X5,X6) | sP1(X0,X6,maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),X5)) )),
% 5.10/1.08 inference(superposition,[],[f471,f452])).
% 5.10/1.08 tff(f10425,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X6 : list(X0),X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != append(X0,X5,X6) | sP0(X0,maps(X1,X0,X2,X4),X6,X5,aa(X1,list(X0),X2,X3))) )),
% 5.10/1.08 inference(superposition,[],[f463,f452])).
% 5.10/1.08 tff(f10424,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X6 : list(X0),X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != append(X0,X5,X6) | sP0(X0,X6,maps(X1,X0,X2,X4),aa(X1,list(X0),X2,X3),X5)) )),
% 5.10/1.08 inference(superposition,[],[f463,f452])).
% 5.10/1.08 tff(f10423,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != append(X0,aa(X1,list(X0),X2,X3),X5) | maps(X1,X0,X2,X4) = X5) )),
% 5.10/1.08 inference(superposition,[],[f445,f452])).
% 5.10/1.08 tff(f10422,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != append(X0,aa(X1,list(X0),X2,X3),X5) | maps(X1,X0,X2,X4) = X5) )),
% 5.10/1.08 inference(superposition,[],[f445,f452])).
% 5.10/1.08 tff(f10421,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != append(X0,X5,maps(X1,X0,X2,X4)) | aa(X1,list(X0),X2,X3) = X5) )),
% 5.10/1.08 inference(superposition,[],[f443,f452])).
% 5.10/1.08 tff(f10420,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (maps(X1,X0,X2,cons(X1,X3,X4)) != append(X0,X5,maps(X1,X0,X2,X4)) | aa(X1,list(X0),X2,X3) = X5) )),
% 5.10/1.08 inference(superposition,[],[f443,f452])).
% 5.10/1.08 tff(f10419,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : X0] : (append(X0,cons(X0,X5,aa(X1,list(X0),X2,X3)),maps(X1,X0,X2,X4)) = cons(X0,X5,maps(X1,X0,X2,cons(X1,X3,X4)))) )),
% 5.10/1.08 inference(superposition,[],[f430,f452])).
% 5.10/1.08 tff(f10418,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (append(X0,aa(X1,list(X0),X2,X3),append(X0,maps(X1,X0,X2,X4),X5)) = append(X0,maps(X1,X0,X2,cons(X1,X3,X4)),X5)) )),
% 5.10/1.08 inference(superposition,[],[f429,f452])).
% 5.10/1.08 tff(f10417,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) = maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f416,f452])).
% 5.10/1.08 tff(f10416,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) != maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f415,f452])).
% 5.10/1.08 tff(f10415,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (maps(X1,X0,X2,X4) != maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f409,f452])).
% 5.10/1.08 tff(f10414,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (aa(X1,list(X0),X2,X3) != maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) = maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f407,f452])).
% 5.10/1.08 tff(f10413,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (append(X0,aa(X1,list(X0),X2,X3),butlast(X0,maps(X1,X0,X2,X4))) = butlast(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f389,f452])).
% 5.10/1.08 tff(f10412,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (hd(X0,aa(X1,list(X0),X2,X3)) = hd(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f387,f452])).
% 5.10/1.08 tff(f10411,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (last(X0,maps(X1,X0,X2,X4)) = last(X0,maps(X1,X0,X2,cons(X1,X3,X4))) | nil(X0) = maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f385,f452])).
% 5.10/1.08 tff(f10490,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10410,f326])).
% 5.10/1.08 tff(f10410,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (rev(X0,nil(X0)) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(superposition,[],[f452,f631])).
% 5.10/1.08 tff(f10409,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : list(X0)] : (rev(X0,rev(X0,X5)) = maps(X1,X0,X2,cons(X1,X3,X4)) | append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4)) != X5) )),
% 5.10/1.08 inference(superposition,[],[f452,f823])).
% 5.10/1.08 tff(f10489,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10408,f565])).
% 5.10/1.08 tff(f10408,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : X0] : (butlast(X0,insert(X0,X5,nil(X0))) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(superposition,[],[f452,f2662])).
% 5.10/1.08 tff(f10488,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (nil(X0) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10407,f334])).
% 5.10/1.08 tff(f10407,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1),X5 : fun(X0,bool)] : (takeWhile(X0,X5,nil(X0)) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != append(X0,aa(X1,list(X0),X2,X3),maps(X1,X0,X2,X4))) )),
% 5.10/1.08 inference(superposition,[],[f452,f9121])).
% 5.10/1.08 tff(f10406,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (maps(X1,X0,X2,X4) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != aa(X1,list(X0),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f2570])).
% 5.10/1.08 tff(f10405,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,list(X0)),X3 : X1,X4 : list(X1)] : (aa(X1,list(X0),X2,X3) = maps(X1,X0,X2,cons(X1,X3,X4)) | nil(X0) != maps(X1,X0,X2,X4)) )),
% 5.10/1.08 inference(superposition,[],[f452,f2571])).
% 5.10/1.08 tff(f10487,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : X0] : (maps(X0,X1,X2,cons(X0,X4,X3)) = aa(X0,list(X1),X2,X4) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10486,f331])).
% 5.10/1.08 tff(f10486,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : X0] : (maps(X0,X1,X2,cons(X0,X4,X3)) = append(X1,aa(X0,list(X1),X2,X4),nil(X1)) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10404,f326])).
% 5.10/1.08 tff(f10404,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : X0] : (maps(X0,X1,X2,cons(X0,X4,X3)) = append(X1,aa(X0,list(X1),X2,X4),rev(X1,nil(X1))) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f631])).
% 5.10/1.08 tff(f10485,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : list(X1),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),X4) | maps(X0,X1,X2,X3) != X4) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10403,f328])).
% 5.10/1.08 tff(f10403,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : list(X1),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),rev(X1,rev(X1,X4))) | maps(X0,X1,X2,X3) != X4) )),
% 5.10/1.08 inference(superposition,[],[f452,f823])).
% 5.10/1.08 tff(f10484,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = aa(X0,list(X1),X2,X5) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10483,f331])).
% 5.10/1.08 tff(f10483,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),nil(X1)) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10402,f565])).
% 5.10/1.08 tff(f10402,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : X1,X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),butlast(X1,insert(X1,X4,nil(X1)))) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f2662])).
% 5.10/1.08 tff(f10482,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = aa(X0,list(X1),X2,X5) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10481,f331])).
% 5.10/1.08 tff(f10481,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),nil(X1)) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10401,f334])).
% 5.10/1.08 tff(f10401,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X0),X4 : fun(X1,bool),X5 : X0] : (maps(X0,X1,X2,cons(X0,X5,X3)) = append(X1,aa(X0,list(X1),X2,X5),takeWhile(X1,X4,nil(X1))) | nil(X1) != maps(X0,X1,X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f9121])).
% 5.10/1.08 tff(f10480,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0] : (aa(X0,list(X1),X2,X3) = maps(X0,X1,X2,insert(X0,X3,nil(X0)))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10479,f335])).
% 5.10/1.08 tff(f10479,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0] : (aa(X0,list(X1),X2,X3) = maps(X0,X1,X2,cons(X0,X3,nil(X0)))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10400,f331])).
% 5.10/1.08 tff(f10400,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0] : (maps(X0,X1,X2,cons(X0,X3,nil(X0))) = append(X1,aa(X0,list(X1),X2,X3),nil(X1))) )),
% 5.10/1.08 inference(superposition,[],[f452,f373])).
% 5.10/1.08 tff(f10478,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X4)) = maps(X0,X1,X2,X4) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10477,f332])).
% 5.10/1.08 tff(f10477,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X4)) = append(X1,nil(X1),maps(X0,X1,X2,X4)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10399,f326])).
% 5.10/1.08 tff(f10399,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X4)) = append(X1,rev(X1,nil(X1)),maps(X0,X1,X2,X4)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f631])).
% 5.10/1.08 tff(f10476,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : list(X1),X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,X4,maps(X0,X1,X2,X5)) | aa(X0,list(X1),X2,X3) != X4) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10398,f328])).
% 5.10/1.08 tff(f10398,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : list(X1),X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,rev(X1,rev(X1,X4)),maps(X0,X1,X2,X5)) | aa(X0,list(X1),X2,X3) != X4) )),
% 5.10/1.08 inference(superposition,[],[f452,f823])).
% 5.10/1.08 tff(f10475,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = maps(X0,X1,X2,X5) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10474,f332])).
% 5.10/1.08 tff(f10474,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,nil(X1),maps(X0,X1,X2,X5)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10397,f565])).
% 5.10/1.08 tff(f10397,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : X1,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,butlast(X1,insert(X1,X4,nil(X1))),maps(X0,X1,X2,X5)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f2662])).
% 5.10/1.08 tff(f10473,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = maps(X0,X1,X2,X5) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10472,f332])).
% 5.10/1.08 tff(f10472,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,nil(X1),maps(X0,X1,X2,X5)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10396,f334])).
% 5.10/1.08 tff(f10396,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : X0,X4 : fun(X1,bool),X5 : list(X0)] : (maps(X0,X1,X2,cons(X0,X3,X5)) = append(X1,takeWhile(X1,X4,nil(X1)),maps(X0,X1,X2,X5)) | nil(X1) != aa(X0,list(X1),X2,X3)) )),
% 5.10/1.08 inference(superposition,[],[f452,f9121])).
% 5.10/1.08 tff(f452,plain,(
% 5.10/1.08 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,list(X0))] : (maps(X1,X0,X4,cons(X1,X3,X2)) = append(X0,aa(X1,list(X0),X4,X3),maps(X1,X0,X4,X2))) )),
% 5.10/1.08 inference(cnf_transformation,[],[f192])).
% 5.10/1.08 tff(f192,plain,(
% 5.10/1.08 ! [X0 : $tType,X1 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,list(X0))] : maps(X1,X0,X4,cons(X1,X3,X2)) = append(X0,aa(X1,list(X0),X4,X3),maps(X1,X0,X4,X2))),
% 5.10/1.08 inference(rectify,[],[f75])).
% 5.10/1.08 tff(f75,axiom,(
% 5.10/1.08 ! [X0 : $tType,X1 : $tType,X11 : list(X1),X28 : X1,X29 : fun(X1,list(X0))] : maps(X1,X0,X29,cons(X1,X28,X11)) = append(X0,aa(X1,list(X0),X29,X28),maps(X1,X0,X29,X11))),
% 5.10/1.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_maps__simps_I1_J)).
% 5.10/1.08 tff(f10393,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,X3,nil(X0)) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10382,f328])).
% 5.10/1.08 tff(f10382,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,rev(X0,rev(X0,X3)),nil(X0)) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f3561,f823])).
% 5.10/1.08 tff(f3561,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1100,f3545])).
% 5.10/1.08 tff(f10369,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),X2,X3) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10358,f328])).
% 5.10/1.08 tff(f10358,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),X2,rev(X0,rev(X0,X3))) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.08 inference(superposition,[],[f3560,f823])).
% 5.10/1.08 tff(f3560,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.08 inference(superposition,[],[f1099,f3545])).
% 5.10/1.08 tff(f10088,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.08 inference(superposition,[],[f4997,f9121])).
% 5.10/1.08 tff(f10087,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.08 inference(superposition,[],[f4387,f9121])).
% 5.10/1.08 tff(f10086,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK7(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2976,f9121])).
% 5.10/1.08 tff(f10085,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != sK7(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f2973,f9121])).
% 5.10/1.08 tff(f10347,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10084,f334])).
% 5.10/1.08 tff(f10084,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK3(list(X0),X1) = takeWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f3013,f9121])).
% 5.10/1.08 tff(f10346,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10083,f334])).
% 5.10/1.08 tff(f10083,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK7(list(X0),X1) = takeWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f3014,f9121])).
% 5.10/1.08 tff(f10082,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.08 inference(superposition,[],[f2983,f9121])).
% 5.10/1.08 tff(f10345,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),nil(X0),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10081,f334])).
% 5.10/1.08 tff(f10081,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (cons(list(X0),takeWhile(X0,X2,nil(X0)),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f351,f9121])).
% 5.10/1.08 tff(f10344,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10080,f334])).
% 5.10/1.08 tff(f10080,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f1919,f9121])).
% 5.10/1.08 tff(f10343,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10079,f334])).
% 5.10/1.08 tff(f10079,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),takeWhile(X0,X2,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f1927,f9121])).
% 5.10/1.08 tff(f10342,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10078,f334])).
% 5.10/1.08 tff(f10078,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f2514,f9121])).
% 5.10/1.08 tff(f10077,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.08 inference(superposition,[],[f7415,f9121])).
% 5.10/1.08 tff(f10076,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f7310,f9121])).
% 5.10/1.08 tff(f10075,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.08 inference(superposition,[],[f7334,f9121])).
% 5.10/1.08 tff(f10341,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10074,f334])).
% 5.10/1.08 tff(f10074,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7338,f9121])).
% 5.10/1.08 tff(f10340,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10073,f334])).
% 5.10/1.08 tff(f10073,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7339,f9121])).
% 5.10/1.08 tff(f10072,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK6(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.08 inference(superposition,[],[f7447,f9121])).
% 5.10/1.08 tff(f10071,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.08 inference(superposition,[],[f7313,f9121])).
% 5.10/1.08 tff(f10070,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.08 inference(superposition,[],[f7357,f9121])).
% 5.10/1.08 tff(f10339,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10069,f334])).
% 5.10/1.08 tff(f10069,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7361,f9121])).
% 5.10/1.08 tff(f10338,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10068,f334])).
% 5.10/1.08 tff(f10068,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.08 inference(superposition,[],[f7362,f9121])).
% 5.10/1.08 tff(f10067,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.08 inference(superposition,[],[f7312,f9121])).
% 5.10/1.08 tff(f10066,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != sK6(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.08 inference(superposition,[],[f7301,f9121])).
% 5.10/1.08 tff(f10337,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10065,f334])).
% 5.10/1.08 tff(f10065,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),takeWhile(X0,X2,nil(X0)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f6509,f9121])).
% 5.10/1.08 tff(f10336,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(forward_demodulation,[],[f10064,f334])).
% 5.10/1.08 tff(f10064,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.08 inference(superposition,[],[f7161,f9121])).
% 5.10/1.08 tff(f10063,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.08 inference(superposition,[],[f4968,f9121])).
% 5.10/1.08 tff(f10062,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.08 inference(superposition,[],[f4385,f9121])).
% 5.10/1.08 tff(f10061,plain,(
% 5.10/1.08 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != sK3(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.08 inference(superposition,[],[f2506,f9121])).
% 5.10/1.08 tff(f10060,plain,(
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% 5.10/1.08 inference(superposition,[],[f427,f9121])).
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% 5.10/1.08 inference(forward_demodulation,[],[f10047,f334])).
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% 5.10/1.08 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
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% 5.10/1.08 inference(superposition,[],[f344,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f10025,f334])).
% 5.10/1.09 tff(f10025,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK6(list(X0),X2) = takeWhile(X0,X3,nil(X0)) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f9121])).
% 5.10/1.09 tff(f10317,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != last(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10024,f334])).
% 5.10/1.09 tff(f10024,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),takeWhile(X0,X2,nil(X0)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != last(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f9121])).
% 5.10/1.09 tff(f10023,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f4375,f9121])).
% 5.10/1.09 tff(f10022,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f4381,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10021,f334])).
% 5.10/1.09 tff(f10021,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (takeWhile(X0,X2,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f343,f9121])).
% 5.10/1.09 tff(f10020,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != hd(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f372,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != hd(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f571,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != hd(list(X0),cons(list(X0),X1,X2)) | takeWhile(X0,X3,nil(X0)) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10018,f2164])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),insert(list(X0),X1,nil(list(X0))),X2))) )),
% 5.10/1.09 inference(superposition,[],[f2210,f9121])).
% 5.10/1.09 tff(f10017,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : fun(X0,bool)] : (takeWhile(X0,X4,nil(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f2135,f9121])).
% 5.10/1.09 tff(f10314,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10016,f334])).
% 5.10/1.09 tff(f10016,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (hd(list(X0),X1) = takeWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f387,f9121])).
% 5.10/1.09 tff(f10313,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10015,f334])).
% 5.10/1.09 tff(f10015,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK3(list(X0),X1) = takeWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f2212,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10014,f334])).
% 5.10/1.09 tff(f10014,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : fun(X0,bool),X1 : list(list(X0))] : (sK7(list(X0),X1) = takeWhile(X0,X3,nil(X0)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f2213,f9121])).
% 5.10/1.09 tff(f10311,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10013,f334])).
% 5.10/1.09 tff(f10013,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),takeWhile(X0,X2,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f1813,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10309,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9990,f334])).
% 5.10/1.09 tff(f9990,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,takeWhile(X0,X3,nil(X0))) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f2997,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4507,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9984,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool)] : (append(X0,X2,X3) = takeWhile(X0,X4,nil(X0)) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4530,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9979,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sK4(X0,X1) = takeWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f4515,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X1 | X1 != X3 | nil(X0) = X3 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3391,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X3 | X1 != X3 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f1940,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f1917,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9974,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (cons(X0,sK7(X0,X1),takeWhile(X0,X2,nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f351,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9973,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (append(X0,takeWhile(X0,X2,nil(X0)),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6509,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7232,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = butlast(X0,X1) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9971,f334])).
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% 5.10/1.09 inference(superposition,[],[f7163,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10291,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9969,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,takeWhile(X0,X3,nil(X0))) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f2525,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4506,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool)] : (append(X0,X2,X3) = takeWhile(X0,X4,nil(X0)) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X1 | X1 != X3 | nil(X0) = X3 | nil(X0) != sK4(X0,X1)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X3 | X1 != X3 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f1906,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f1771,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9954,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (cons(X0,sK3(X0,X1),takeWhile(X0,X2,nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f347,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),takeWhile(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1102,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9942,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),takeWhile(X0,X3,nil(X0)),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1101,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),takeWhile(X0,X3,nil(X0)),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9940,f334])).
% 5.10/1.09 tff(f9940,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,takeWhile(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1099,f9121])).
% 5.10/1.09 tff(f10264,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10263,f335])).
% 5.10/1.09 tff(f10263,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9939,f334])).
% 5.10/1.09 tff(f9939,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,takeWhile(X0,X3,nil(X0))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1098,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10261,f335])).
% 5.10/1.09 tff(f10261,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9938,f334])).
% 5.10/1.09 tff(f9938,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,takeWhile(X0,X3,nil(X0))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1097,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9937,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),takeWhile(X0,X3,nil(X0)),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1096,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10258,f331])).
% 5.10/1.09 tff(f10258,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9936,f334])).
% 5.10/1.09 tff(f9936,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,takeWhile(X0,X3,nil(X0)))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9935,f334])).
% 5.10/1.09 tff(f9935,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,takeWhile(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X4,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10255,f331])).
% 5.10/1.09 tff(f10255,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9934,f334])).
% 5.10/1.09 tff(f9934,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,takeWhile(X0,X3,nil(X0))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f9121])).
% 5.10/1.09 tff(f9932,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (takeWhile(X0,X3,nil(X0)) != X2 | nil(X0) = dropWhile(X0,X1,X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1091,f9121])).
% 5.10/1.09 tff(f10252,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9929,f334])).
% 5.10/1.09 tff(f9929,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X3,nil(X0)),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f376,f9121])).
% 5.10/1.09 tff(f9927,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != splice(X0,nil(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f330,f9121])).
% 5.10/1.09 tff(f9921,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != splice(X0,X1,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f329,f9121])).
% 5.10/1.09 tff(f10243,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f10242,f323])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9832,f334])).
% 5.10/1.09 tff(f9832,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : fun(X0,bool)] : (~null(X0,takeWhile(X0,X4,nil(X0))) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f5039,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f10240,f323])).
% 5.10/1.09 tff(f10240,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9823,f334])).
% 5.10/1.09 tff(f9823,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,takeWhile(X0,X3,nil(X0))) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5031,f9121])).
% 5.10/1.09 tff(f10239,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f10238,f323])).
% 5.10/1.09 tff(f10238,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,nil(X0)) | cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9819,f334])).
% 5.10/1.09 tff(f9819,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,takeWhile(X0,X2,nil(X0))) | cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4483,f9121])).
% 5.10/1.09 tff(f9815,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f328,f9121])).
% 5.10/1.09 tff(f9814,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X3 | X1 != X3 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f823,f9121])).
% 5.10/1.09 tff(f10237,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.09 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f452,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,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% 5.10/1.09 tff(f9812,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0] : (takeWhile(X0,X2,nil(X0)) != X3 | cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f918,f9121])).
% 5.10/1.09 tff(f10236,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f10235,f323])).
% 5.10/1.09 tff(f10235,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9784,f334])).
% 5.10/1.09 tff(f9784,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,takeWhile(X0,X3,nil(X0))) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f2233,f9121])).
% 5.10/1.09 tff(f10230,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,insert(X0,X3,nil(X0))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10229,f335])).
% 5.10/1.09 tff(f10229,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,nil(X0))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9779,f334])).
% 5.10/1.09 tff(f9779,plain,(
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% 5.10/1.09 inference(subsumption_resolution,[],[f10224,f323])).
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% 5.10/1.09 inference(forward_demodulation,[],[f9773,f334])).
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% 5.10/1.09 inference(superposition,[],[f7010,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,nil(X0)) != X4 | rev(X0,X4) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9770,f334])).
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% 5.10/1.09 inference(superposition,[],[f6448,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f10217,f4395])).
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% 5.10/1.09 inference(forward_demodulation,[],[f10216,f335])).
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% 5.10/1.09 inference(forward_demodulation,[],[f9762,f334])).
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% 5.10/1.09 inference(superposition,[],[f5095,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f10214,f332])).
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% 5.10/1.09 inference(forward_demodulation,[],[f9760,f334])).
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% 5.10/1.09 inference(superposition,[],[f3107,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f9751,f334])).
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% 5.10/1.09 inference(superposition,[],[f823,f9121])).
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% 5.10/1.09 inference(superposition,[],[f641,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f9746,f334])).
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% 5.10/1.09 inference(superposition,[],[f590,f9121])).
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% 5.10/1.09 inference(superposition,[],[f421,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9741,f334])).
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% 5.10/1.09 inference(superposition,[],[f421,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f10196,f331])).
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% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9740,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),takeWhile(X0,X2,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f378,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = rev(X0,append(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10194,f332])).
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% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,nil(X0),rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9739,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,takeWhile(X0,X2,nil(X0)),rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f378,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != rev(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != rotate1(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,takeWhile(X0,X3,nil(X0)),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1102,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9363,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),takeWhile(X0,X3,nil(X0)),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1101,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,X2,takeWhile(X0,X3,nil(X0)),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1100,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9361,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (sP0(X0,takeWhile(X0,X3,nil(X0)),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1099,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,nil(X0),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,takeWhile(X0,X3,nil(X0)),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,nil(X0),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,nil(X0),X4),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,takeWhile(X0,X3,nil(X0)),X4),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9357,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,takeWhile(X0,X3,nil(X0)),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f10164,f332])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,nil(X0),X4),X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9356,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,takeWhile(X0,X3,nil(X0)),X4),X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,nil(X0),append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9355,f334])).
% 5.10/1.09 tff(f9355,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,takeWhile(X0,X3,nil(X0)),append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f9121])).
% 5.10/1.09 tff(f10159,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),nil(X0)) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9351,f334])).
% 5.10/1.09 tff(f9351,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),takeWhile(X0,X3,nil(X0))) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f376,f9121])).
% 5.10/1.09 tff(f10158,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9349,f334])).
% 5.10/1.09 tff(f9349,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sK4(X0,X1) = takeWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4494,f9121])).
% 5.10/1.09 tff(f10157,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK8(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9348,f334])).
% 5.10/1.09 tff(f9348,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (sK8(X0,X1) = takeWhile(X0,X2,nil(X0)) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4495,f9121])).
% 5.10/1.09 tff(f9346,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != butlast(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f4314,f9121])).
% 5.10/1.09 tff(f10156,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,X2) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9345,f334])).
% 5.10/1.09 tff(f9345,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (rev(X0,X2) = takeWhile(X0,X3,nil(X0)) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5503,f9121])).
% 5.10/1.09 tff(f10155,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9339,f334])).
% 5.10/1.09 tff(f9339,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,butlast(X0,X2)) = takeWhile(X0,X3,nil(X0)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f389,f9121])).
% 5.10/1.09 tff(f10154,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) != butlast(X0,rotate1(X0,cons(X0,X2,X1))) | takeWhile(X0,X3,nil(X0)) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9338,f2238])).
% 5.10/1.09 tff(f9338,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != butlast(X0,append(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f1049,f9121])).
% 5.10/1.09 tff(f10152,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9336,f334])).
% 5.10/1.09 tff(f9336,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (append(X0,takeWhile(X0,X2,nil(X0)),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f9121])).
% 5.10/1.09 tff(f9335,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7003,f9121])).
% 5.10/1.09 tff(f9332,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f376,f9121])).
% 5.10/1.09 tff(f10151,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,append(X0,X2,X1)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9330,f334])).
% 5.10/1.09 tff(f9330,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = takeWhile(X0,X3,nil(X0)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.09 inference(superposition,[],[f378,f9121])).
% 5.10/1.09 tff(f9329,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f332,f9121])).
% 5.10/1.09 tff(f9328,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X3 | X1 = X3 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f1358,f9121])).
% 5.10/1.09 tff(f10150,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9292,f334])).
% 5.10/1.09 tff(f9292,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : fun(X0,bool)] : (sP0(X0,takeWhile(X0,X4,nil(X0)),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f9121])).
% 5.10/1.09 tff(f10149,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9291,f334])).
% 5.10/1.09 tff(f9291,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : fun(X0,bool)] : (sP0(X0,X3,takeWhile(X0,X4,nil(X0)),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f1096,f9121])).
% 5.10/1.09 tff(f10148,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9288,f334])).
% 5.10/1.09 tff(f9288,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (append(X0,X1,append(X0,X2,X3)) = takeWhile(X0,X4,nil(X0)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f429,f9121])).
% 5.10/1.09 tff(f10147,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),nil(X0),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9287,f334])).
% 5.10/1.09 tff(f9287,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X2,X3),takeWhile(X0,X4,nil(X0)),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f1093,f9121])).
% 5.10/1.09 tff(f10146,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,nil(X0)) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9286,f334])).
% 5.10/1.09 tff(f9286,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,takeWhile(X0,X4,nil(X0))) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f1095,f9121])).
% 5.10/1.09 tff(f9278,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) = X1 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f331,f9121])).
% 5.10/1.09 tff(f9277,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,nil(X0)) != X3 | X1 = X3 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f1338,f9121])).
% 5.10/1.09 tff(f10141,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,nil(X0)) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9241,f334])).
% 5.10/1.09 tff(f9241,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,takeWhile(X0,X3,nil(X0))) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2715,f9121])).
% 5.10/1.09 tff(f10138,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,nil(X0),X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9239,f334])).
% 5.10/1.09 tff(f9239,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,takeWhile(X0,X3,nil(X0)),X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2713,f9121])).
% 5.10/1.09 tff(f10137,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9237,f334])).
% 5.10/1.09 tff(f9237,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,takeWhile(X0,X3,nil(X0)),X4,X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2648,f9121])).
% 5.10/1.09 tff(f10134,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X4) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9235,f334])).
% 5.10/1.09 tff(f9235,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,takeWhile(X0,X3,nil(X0)),X2,X1,X4) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2646,f9121])).
% 5.10/1.09 tff(f10131,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f9231,f416])).
% 5.10/1.09 tff(f9231,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2571,f9121])).
% 5.10/1.09 tff(f10130,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f9230,f415])).
% 5.10/1.09 tff(f9230,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (takeWhile(X0,X3,nil(X0)) = X2 | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2570,f9121])).
% 5.10/1.09 tff(f10129,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f10128,f323])).
% 5.10/1.09 tff(f10128,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (~null(X0,nil(X0)) | X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9229,f334])).
% 5.10/1.09 tff(f9229,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (~null(X0,takeWhile(X0,X3,nil(X0))) | X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2321,f9121])).
% 5.10/1.09 tff(f10123,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,nil(X0),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9218,f334])).
% 5.10/1.09 tff(f9218,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : X0] : (sP2(X0,takeWhile(X0,X3,nil(X0)),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f538,f9121])).
% 5.10/1.09 tff(f10122,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,nil(X0),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9217,f334])).
% 5.10/1.09 tff(f9217,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : X0] : (sP1(X0,takeWhile(X0,X3,nil(X0)),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f534,f9121])).
% 5.10/1.09 tff(f10121,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9216,f334])).
% 5.10/1.09 tff(f9216,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,takeWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f532,f9121])).
% 5.10/1.09 tff(f10120,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,append(X0,X4,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9215,f334])).
% 5.10/1.09 tff(f9215,plain,(
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% 5.10/1.09 inference(superposition,[],[f532,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9214,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,takeWhile(X0,X3,nil(X0)),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f530,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,append(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9213,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,takeWhile(X0,X3,nil(X0)),X2,append(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f530,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | sP0(X0,X2,X5,X4,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9210,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != takeWhile(X0,X3,nil(X0)) | sP0(X0,X2,X5,X4,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f463,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | sP0(X0,X5,X2,X1,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9209,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != takeWhile(X0,X3,nil(X0)) | sP0(X0,X5,X2,X1,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f463,f9121])).
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% 5.10/1.09 inference(forward_demodulation,[],[f9208,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != takeWhile(X0,X3,nil(X0)) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f445,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,X4) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9207,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != takeWhile(X0,X3,nil(X0)) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f445,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,X2) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9206,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X2) != takeWhile(X0,X3,nil(X0)) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f443,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,X2) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9205,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X2) != takeWhile(X0,X3,nil(X0)) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f443,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X4,nil(X0)) = append(X0,cons(X0,X4,X1),X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10108,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (append(X0,cons(X0,X4,X1),X2) = cons(X0,X4,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9204,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : X0] : (append(X0,cons(X0,X4,X1),X2) = cons(X0,X4,takeWhile(X0,X3,nil(X0))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f430,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f10106,f332])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = append(X0,nil(X0),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9203,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = append(X0,takeWhile(X0,X3,nil(X0)),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f429,f9121])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X2)) = X3 | nil(X0) != X3 | takeWhile(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f9121,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,nil(X0)) = X2 | nil(X0) != X2) )),
% 5.10/1.09 inference(trivial_inequality_removal,[],[f9105])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | takeWhile(X0,X1,nil(X0)) = X2 | nil(X0) != nil(X0)) )),
% 5.10/1.09 inference(superposition,[],[f1338,f3550])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9157,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X2,X3),nil(X0),takeWhile(X0,X1,nil(X0))) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.09 inference(inner_rewriting,[],[f9115])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X2,X3),takeWhile(X0,X2,X3),takeWhile(X0,X1,takeWhile(X0,X2,X3))) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f3550])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9155,f334])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X2,X3),X3,takeWhile(X0,X1,nil(X0)),nil(X0)) | nil(X0) != takeWhile(X0,X2,X3)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X2,X3),X3,takeWhile(X0,X1,takeWhile(X0,X2,X3)),takeWhile(X0,X2,X3)) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f3550])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | sP0(X0,X3,X3,takeWhile(X0,X1,X2),nil(X0))) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | sP0(X0,X3,X3,takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f2834,f3550])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | sP0(X0,X3,X3,nil(X0),takeWhile(X0,X1,X2))) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | sP0(X0,X3,X3,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f2805,f3550])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X2,takeWhile(X0,X1,X2),X2) | nil(X0) != X3 | nil(X0) != X2) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != X3 | nil(X0) != X2) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,takeWhile(X0,X1,X2),X3) | nil(X0) != X3 | nil(X0) != X2) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X3) != X2 | X2 = X3 | nil(X0) != X2) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,X2) != X2 | takeWhile(X0,X1,X2) = X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f443,f3550])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,X2) != X2 | takeWhile(X0,X1,X2) = X3 | nil(X0) != X2) )),
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% 5.10/1.09 tff(f9033,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (cons(X0,X3,X2) = append(X0,cons(X0,X3,takeWhile(X0,X1,X2)),X2) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f430,f3550])).
% 5.10/1.09 tff(f9032,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,X3) = append(X0,takeWhile(X0,X1,X2),append(X0,X2,X3)) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f429,f3550])).
% 5.10/1.09 tff(f9024,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != X2 | append(X0,takeWhile(X0,X1,X2),X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3550,f823])).
% 5.10/1.09 tff(f9151,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,X2) = X2 | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f9018,f328])).
% 5.10/1.09 tff(f9018,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,rev(X0,rev(X0,X3)),X2) = X2 | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3550,f823])).
% 5.10/1.09 tff(f3550,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X2) = X2 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f376,f3545])).
% 5.10/1.09 tff(f9010,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | X1 != X2 | nil(X0) = X2 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3391,f631])).
% 5.10/1.09 tff(f9009,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X1 | X1 != X3 | nil(X0) = X3 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f3391,f823])).
% 5.10/1.09 tff(f9008,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X1 | X1 != X3 | nil(X0) = X3 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3391,f2662])).
% 5.10/1.09 tff(f3391,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK8(X0,X2) != X2 | X1 != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3385,f347])).
% 5.10/1.09 tff(f9003,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | X1 != X2 | nil(X0) = X2 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3286,f631])).
% 5.10/1.09 tff(f9002,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X1 | X1 != X3 | nil(X0) = X3 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f3286,f823])).
% 5.10/1.09 tff(f9001,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X1 | X1 != X3 | nil(X0) = X3 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3286,f2662])).
% 5.10/1.09 tff(f3286,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK4(X0,X2) != X2 | X1 != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3281,f347])).
% 5.10/1.09 tff(f8995,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) != rev(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f8253,f823])).
% 5.10/1.09 tff(f8253,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (insert(X0,X2,nil(X0)) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7892,f328])).
% 5.10/1.09 tff(f8985,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : X0] : (rev(X0,rev(X0,X3)) != append(X0,X4,insert(X0,X5,nil(X0))) | X1 = X4 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f823])).
% 5.10/1.09 tff(f8983,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | sK5(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8632,f6509])).
% 5.10/1.09 tff(f8982,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | rev(X0,X1) = X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f4619])).
% 5.10/1.09 tff(f8981,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,X2,insert(X0,X3,nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f8632,f332])).
% 5.10/1.09 tff(f8980,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,X3,insert(X0,X4,nil(X0))) != cons(X0,X1,insert(X0,X2,nil(X0))) | insert(X0,X1,nil(X0)) = X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f2164])).
% 5.10/1.09 tff(f8993,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | butlast(X0,X1) = X2) )),
% 5.10/1.09 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f452,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,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,f8887,f8888,f8889,f8914,f8898,f8899,f8915,f8906,f8907,f8910,f8068,f8922,f8924,f8925,f8928,f8929,f8931,f8070,f8954,f8632,f8988,f8960,f8962,f8989,f8964,f8990,f8965,f8966,f8967,f8968,f8970,f8991,f8975,f8977,f8992,f8979])).
% 5.10/1.09 tff(f8979,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | butlast(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8632,f6354])).
% 5.10/1.09 tff(f8992,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,rotate1(X0,cons(X0,X3,X2))) != append(X0,X4,insert(X0,X5,nil(X0))) | append(X0,X1,X2) = X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8978,f2238])).
% 5.10/1.09 tff(f8978,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != append(X0,X4,insert(X0,X5,nil(X0))) | append(X0,X1,X2) = X4) )),
% 5.10/1.09 inference(superposition,[],[f8632,f429])).
% 5.10/1.09 tff(f8977,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X3 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f8632,f2570])).
% 5.10/1.09 tff(f8975,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f2238])).
% 5.10/1.09 tff(f8991,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (append(X0,X5,X2) != append(X0,X3,insert(X0,X4,nil(X0))) | X3 = X5 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8973,f328])).
% 5.10/1.09 tff(f8973,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (append(X0,X3,insert(X0,X4,nil(X0))) != append(X0,X5,rev(X0,rev(X0,X2))) | X3 = X5 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f8632,f823])).
% 5.10/1.09 tff(f8970,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : X0] : (rev(X0,rev(X0,X3)) != append(X0,X4,insert(X0,X5,nil(X0))) | X1 = X4 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f823])).
% 5.10/1.09 tff(f8968,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | sK5(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8632,f6509])).
% 5.10/1.09 tff(f8967,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | rev(X0,X1) = X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f4619])).
% 5.10/1.09 tff(f8966,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,X2,insert(X0,X3,nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f8632,f332])).
% 5.10/1.09 tff(f8965,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,X3,insert(X0,X4,nil(X0))) != cons(X0,X1,insert(X0,X2,nil(X0))) | insert(X0,X1,nil(X0)) = X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f2164])).
% 5.10/1.09 tff(f8990,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | butlast(X0,X1) = X2) )),
% 5.10/1.09 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f452,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,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% 5.10/1.09 tff(f8964,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | butlast(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8632,f6354])).
% 5.10/1.09 tff(f8989,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,rotate1(X0,cons(X0,X3,X2))) != append(X0,X4,insert(X0,X5,nil(X0))) | append(X0,X1,X2) = X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8963,f2238])).
% 5.10/1.09 tff(f8963,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != append(X0,X4,insert(X0,X5,nil(X0))) | append(X0,X1,X2) = X4) )),
% 5.10/1.09 inference(superposition,[],[f8632,f429])).
% 5.10/1.09 tff(f8962,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X3 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f8632,f2570])).
% 5.10/1.09 tff(f8960,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X3) )),
% 5.10/1.09 inference(superposition,[],[f8632,f2238])).
% 5.10/1.09 tff(f8988,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : X0] : (append(X0,X3,X2) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8958,f328])).
% 5.10/1.09 tff(f8958,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : X0] : (append(X0,X3,rev(X0,rev(X0,X2))) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f8632,f823])).
% 5.10/1.09 tff(f8632,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (append(X0,X2,insert(X0,X1,nil(X0))) != append(X0,X4,insert(X0,X3,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8631,f335])).
% 5.10/1.09 tff(f8631,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X1,nil(X0))) != append(X0,X4,insert(X0,X3,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f484,f335])).
% 5.10/1.09 tff(f8954,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (X3 != X4 | distinct(X0,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8946,f328])).
% 5.10/1.09 tff(f8946,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | distinct(X0,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8070,f823])).
% 5.10/1.09 tff(f8070,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) != X3 | distinct(X0,X3) | nil(X0) != X2) )),
% 5.10/1.09 inference(trivial_inequality_removal,[],[f8042])).
% 5.10/1.09 tff(f8042,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != nil(X0) | distinct(X0,X3) | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f831,f3432])).
% 5.10/1.09 tff(f8931,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != dropWhile(X0,X4,X5) | nil(X0) != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8068,f823])).
% 5.10/1.09 tff(f8929,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | nil(X0) != X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8068,f351])).
% 5.10/1.09 tff(f8928,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | nil(X0) != X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8068,f347])).
% 5.10/1.09 tff(f8925,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != dropWhile(X0,X2,X3) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8068,f335])).
% 5.10/1.09 tff(f8924,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != dropWhile(X0,X4,X5) | nil(X0) != X5) )),
% 5.10/1.09 inference(superposition,[],[f8068,f430])).
% 5.10/1.09 tff(f8922,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8068,f823])).
% 5.10/1.09 tff(f8068,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != X2) )),
% 5.10/1.09 inference(trivial_inequality_removal,[],[f8052])).
% 5.10/1.09 tff(f8052,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (nil(X0) != nil(X0) | dropWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5323,f3432])).
% 5.10/1.09 tff(f8910,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | rev(X0,rev(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f823])).
% 5.10/1.09 tff(f8907,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X3) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f641])).
% 5.10/1.09 tff(f8906,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X3) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f641])).
% 5.10/1.09 tff(f8915,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X3) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8902,f328])).
% 5.10/1.09 tff(f8902,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,rev(X0,X3))) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f823])).
% 5.10/1.09 tff(f8899,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f641])).
% 5.10/1.09 tff(f8898,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f641])).
% 5.10/1.09 tff(f8914,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8896,f328])).
% 5.10/1.09 tff(f8896,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8888,f823])).
% 5.10/1.09 tff(f8888,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f442,f525,f526,f527,f528,f452,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,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,f8857,f8877,f8878,f8887])).
% 5.10/1.09 tff(f8887,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != X2 | nil(X0) != rev(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8879,f326])).
% 5.10/1.09 tff(f8879,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) != X2 | nil(X0) != rev(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f8855,f631])).
% 5.10/1.09 tff(f8878,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != X2 | rev(X0,rev(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8855,f823])).
% 5.10/1.09 tff(f8877,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (butlast(X0,insert(X0,X3,nil(X0))) != X2 | nil(X0) != rev(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f8855,f2662])).
% 5.10/1.09 tff(f8857,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) != rev(X0,rev(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f8855,f430])).
% 5.10/1.09 tff(f8855,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,rev(X0,cons(X0,X1,X2))) != X2) )),
% 5.10/1.09 inference(equality_resolution,[],[f7865])).
% 5.10/1.09 tff(f8853,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | rev(X0,X4) != X2 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7865,f823])).
% 5.10/1.09 tff(f8850,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | rev(X0,X4) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7865,f641])).
% 5.10/1.09 tff(f8849,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | rev(X0,X4) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7865,f641])).
% 5.10/1.09 tff(f8856,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | rev(X0,X4) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8847,f328])).
% 5.10/1.09 tff(f8847,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,rev(X0,X3))) != X4 | rev(X0,X4) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7865,f823])).
% 5.10/1.09 tff(f8845,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | rev(X0,X2) != sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7865,f351])).
% 5.10/1.09 tff(f8844,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | rev(X0,X2) != sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7865,f347])).
% 5.10/1.09 tff(f8843,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) != X3 | rev(X0,X3) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7865,f2997])).
% 5.10/1.09 tff(f8842,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) != X3 | rev(X0,X3) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7865,f2525])).
% 5.10/1.09 tff(f8841,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,insert(X0,X1,nil(X0))) != X2 | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f7865,f335])).
% 5.10/1.09 tff(f8840,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | append(X0,X2,X3) != rev(X0,X4)) )),
% 5.10/1.09 inference(superposition,[],[f7865,f430])).
% 5.10/1.09 tff(f7865,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X2)) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7851,f328])).
% 5.10/1.09 tff(f7851,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,rev(X0,rev(X0,X2)))) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7837,f823])).
% 5.10/1.09 tff(f8835,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) != X3 | rev(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7862,f823])).
% 5.10/1.09 tff(f8832,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7862,f641])).
% 5.10/1.09 tff(f8831,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7862,f641])).
% 5.10/1.09 tff(f8839,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8828,f328])).
% 5.10/1.09 tff(f8828,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,rev(X0,X2))) != X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7862,f823])).
% 5.10/1.09 tff(f7862,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,insert(X0,X2,nil(X0))) != X1 | nil(X0) != X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7843,f335])).
% 5.10/1.09 tff(f7843,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,nil(X0))) != X1 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f7837,f583])).
% 5.10/1.09 tff(f8821,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != rev(X0,X4) | X2 != X4 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f823])).
% 5.10/1.09 tff(f8818,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != rev(X0,X4) | X2 != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f641])).
% 5.10/1.09 tff(f8817,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != rev(X0,X4) | X2 != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f641])).
% 5.10/1.09 tff(f8826,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != rev(X0,X4) | X2 != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8815,f328])).
% 5.10/1.09 tff(f8815,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X4) != rev(X0,rev(X0,rev(X0,X3))) | X2 != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f823])).
% 5.10/1.09 tff(f8813,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | sK8(X0,X1) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7847,f351])).
% 5.10/1.09 tff(f8812,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | sK4(X0,X1) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7847,f347])).
% 5.10/1.09 tff(f8811,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X3) != rev(X0,cons(X0,X1,X2)) | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f2997])).
% 5.10/1.09 tff(f8810,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X3) != rev(X0,cons(X0,X1,X2)) | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f2525])).
% 5.10/1.09 tff(f8809,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,X2) != rev(X0,insert(X0,X1,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7847,f335])).
% 5.10/1.09 tff(f8808,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X4) != rev(X0,append(X0,cons(X0,X1,X2),X3)) | append(X0,X2,X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7847,f430])).
% 5.10/1.09 tff(f8806,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X2)) != rev(X0,cons(X0,X3,X4)) | X1 != X4 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7847,f823])).
% 5.10/1.09 tff(f8804,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != rev(X0,cons(X0,X3,X4)) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7847,f5095])).
% 5.10/1.09 tff(f8803,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X3)) != X1 | rev(X0,X1) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f328])).
% 5.10/1.09 tff(f8802,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,X4)) != X2 | rev(X0,X1) != X4 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7847,f823])).
% 5.10/1.09 tff(f8801,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,cons(X0,X2,X3)) | insert(X0,X1,nil(X0)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7847,f1383])).
% 5.10/1.09 tff(f8798,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != rev(X0,cons(X0,X3,X4)) | X1 != X4 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7847,f641])).
% 5.10/1.09 tff(f8797,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != rev(X0,cons(X0,X3,X4)) | X1 != X4 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7847,f641])).
% 5.10/1.09 tff(f7847,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,X1) != rev(X0,cons(X0,X3,X2)) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7837,f823])).
% 5.10/1.09 tff(f8785,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | X2 != X4 | rev(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7841,f823])).
% 5.10/1.09 tff(f8782,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | X2 != X4 | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7841,f641])).
% 5.10/1.09 tff(f8781,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | X2 != X4 | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7841,f641])).
% 5.10/1.09 tff(f8796,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | X2 != X4 | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8779,f328])).
% 5.10/1.09 tff(f8779,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,rev(X0,X3))) != X4 | X2 != X4 | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7841,f823])).
% 5.10/1.09 tff(f8795,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,insert(X0,X2,nil(X0))) != X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8794,f335])).
% 5.10/1.09 tff(f8794,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,nil(X0))) != X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8777,f326])).
% 5.10/1.09 tff(f8777,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,rev(X0,nil(X0)))) != X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7841,f631])).
% 5.10/1.09 tff(f8793,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,X2)) != X4 | X1 != X4 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8776,f328])).
% 5.10/1.09 tff(f8776,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,rev(X0,rev(X0,X2)))) != X4 | X1 != X4 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7841,f823])).
% 5.10/1.09 tff(f8792,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,insert(X0,X3,nil(X0))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8791,f335])).
% 5.10/1.09 tff(f8791,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,nil(X0))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8775,f565])).
% 5.10/1.09 tff(f8775,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,butlast(X0,insert(X0,X2,nil(X0))))) != X4 | X1 != X4 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7841,f2662])).
% 5.10/1.09 tff(f8774,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rev(X0,cons(X0,X3,cons(X0,X1,X2))) != X4 | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7841,f5095])).
% 5.10/1.09 tff(f8772,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,X2)) != X4 | rev(X0,X1) != X4 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7841,f823])).
% 5.10/1.09 tff(f8790,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,insert(X0,X1,nil(X0))) != X2 | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8771,f335])).
% 5.10/1.09 tff(f8771,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,nil(X0))) != X2 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7841,f326])).
% 5.10/1.09 tff(f8770,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != X3 | nil(X0) != X3 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f7841,f631])).
% 5.10/1.09 tff(f8769,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rev(X0,cons(X0,X2,insert(X0,X1,nil(X0)))) != X3 | insert(X0,X1,nil(X0)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7841,f1383])).
% 5.10/1.09 tff(f8789,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,insert(X0,X3,nil(X0))) != X4 | dropWhile(X0,X1,X2) != X4 | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8768,f335])).
% 5.10/1.09 tff(f8768,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,cons(X0,X3,nil(X0))) != X4 | dropWhile(X0,X1,X2) != X4 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7841,f3432])).
% 5.10/1.09 tff(f8788,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,insert(X0,X2,nil(X0))) != X3 | X1 != X3 | nil(X0) != X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8767,f335])).
% 5.10/1.09 tff(f8767,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,nil(X0))) != X3 | X1 != X3 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f7841,f583])).
% 5.10/1.09 tff(f8766,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,rev(X0,X2))) != X4 | X1 != X4 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7841,f641])).
% 5.10/1.09 tff(f8765,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X3,rev(X0,X2))) != X4 | X1 != X4 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7841,f641])).
% 5.10/1.09 tff(f7841,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,rev(X0,X2))) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7837,f641])).
% 5.10/1.09 tff(f8758,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != rev(X0,rev(X0,X2)) | append(X0,rev(X0,X4),insert(X0,X3,nil(X0))) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f8109,f823])).
% 5.10/1.09 tff(f8756,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | rotate1(X0,cons(X0,X1,rev(X0,X2))) = append(X0,rev(X0,X4),insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8109,f5095])).
% 5.10/1.09 tff(f8755,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | rev(X0,X1) = append(X0,rev(X0,X3),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8109,f328])).
% 5.10/1.09 tff(f8754,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | rev(X0,X1) = append(X0,rev(X0,X4),insert(X0,X3,nil(X0))) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f8109,f823])).
% 5.10/1.09 tff(f8751,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X2,X3) | insert(X0,X1,nil(X0)) = append(X0,rev(X0,X3),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8109,f1383])).
% 5.10/1.09 tff(f8748,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != cons(X0,X3,X4) | append(X0,rev(X0,X4),insert(X0,X3,nil(X0))) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f8109,f641])).
% 5.10/1.09 tff(f8747,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != cons(X0,X3,X4) | append(X0,rev(X0,X4),insert(X0,X3,nil(X0))) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f8109,f641])).
% 5.10/1.09 tff(f8745,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != rev(X0,X4) | append(X0,rev(X0,X2),insert(X0,X1,nil(X0))) = X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8109,f823])).
% 5.10/1.09 tff(f8743,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | append(X0,rev(X0,sK8(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8109,f351])).
% 5.10/1.09 tff(f8742,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | append(X0,rev(X0,sK4(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8109,f347])).
% 5.10/1.09 tff(f8760,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,nil(X0),insert(X0,X1,nil(X0))) = X2 | insert(X0,X1,nil(X0)) != rev(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8739,f326])).
% 5.10/1.09 tff(f8739,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | append(X0,rev(X0,nil(X0)),insert(X0,X1,nil(X0))) = X2) )),
% 5.10/1.09 inference(superposition,[],[f8109,f335])).
% 5.10/1.09 tff(f8738,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != rev(X0,X4) | append(X0,rev(X0,append(X0,X2,X3)),insert(X0,X1,nil(X0))) = X4) )),
% 5.10/1.09 inference(superposition,[],[f8109,f430])).
% 5.10/1.09 tff(f8109,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X1) != rev(X0,X3) | append(X0,rev(X0,X1),insert(X0,X2,nil(X0))) = X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f437,f335])).
% 5.10/1.09 tff(f8737,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8736,f323])).
% 5.10/1.09 tff(f8736,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8727,f326])).
% 5.10/1.09 tff(f8727,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,nil(X0))) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f5039,f631])).
% 5.10/1.09 tff(f8735,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,X4) | rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8726,f328])).
% 5.10/1.09 tff(f8726,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X4))) | rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5039,f823])).
% 5.10/1.09 tff(f8734,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8733,f323])).
% 5.10/1.09 tff(f8733,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8725,f565])).
% 5.10/1.09 tff(f8725,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,butlast(X0,insert(X0,X4,nil(X0)))) | nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f5039,f2662])).
% 5.10/1.09 tff(f8723,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,X4)) | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5039,f641])).
% 5.10/1.09 tff(f8722,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,X4)) | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5039,f641])).
% 5.10/1.09 tff(f8732,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,X4)) | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8720,f328])).
% 5.10/1.09 tff(f8720,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,rev(X0,X4)))) | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5039,f823])).
% 5.10/1.09 tff(f8731,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,X4))) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8717,f328])).
% 5.10/1.09 tff(f8717,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X4))))) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5039,f823])).
% 5.10/1.09 tff(f8730,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,X4)))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8714,f328])).
% 5.10/1.09 tff(f8714,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,rev(X0,rev(X0,X4)))))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5039,f823])).
% 5.10/1.09 tff(f8729,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X4,X3))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8711,f328])).
% 5.10/1.09 tff(f8711,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5039,f823])).
% 5.10/1.09 tff(f8709,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1))))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5039,f351])).
% 5.10/1.09 tff(f8708,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1))))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5039,f347])).
% 5.10/1.09 tff(f8705,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))))) )),
% 5.10/1.09 inference(superposition,[],[f5039,f335])).
% 5.10/1.09 tff(f8728,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8704,f430])).
% 5.10/1.09 tff(f8704,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))))) )),
% 5.10/1.09 inference(superposition,[],[f5039,f430])).
% 5.10/1.09 tff(f5039,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))))) )),
% 5.10/1.09 inference(superposition,[],[f4465,f2238])).
% 5.10/1.09 tff(f8703,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8702,f323])).
% 5.10/1.09 tff(f8702,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8696,f326])).
% 5.10/1.09 tff(f8696,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5031,f631])).
% 5.10/1.09 tff(f8701,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,X3) | nil(X0) = X1 | rev(X0,rotate1(X0,append(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8695,f328])).
% 5.10/1.09 tff(f8695,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | rev(X0,rotate1(X0,append(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5031,f823])).
% 5.10/1.09 tff(f8700,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8699,f323])).
% 5.10/1.09 tff(f8699,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8694,f565])).
% 5.10/1.09 tff(f8694,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5031,f2662])).
% 5.10/1.09 tff(f8692,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X3)) | nil(X0) = X1 | rotate1(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5031,f641])).
% 5.10/1.09 tff(f8691,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X3)) | nil(X0) = X1 | rotate1(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5031,f641])).
% 5.10/1.09 tff(f8698,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X3)) | nil(X0) = X1 | rotate1(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8689,f328])).
% 5.10/1.09 tff(f8689,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,rev(X0,X3)))) | nil(X0) = X1 | rotate1(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5031,f823])).
% 5.10/1.09 tff(f8697,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8686,f328])).
% 5.10/1.09 tff(f8686,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X3))))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5031,f823])).
% 5.10/1.09 tff(f8682,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rev(X0,cons(X0,X2,X1))))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f5031,f4619])).
% 5.10/1.09 tff(f8681,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rev(X0,append(X0,X2,X1))))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f5031,f378])).
% 5.10/1.09 tff(f8677,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,append(X0,X1,append(X0,X2,X3))))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f5031,f429])).
% 5.10/1.09 tff(f8676,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1))))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5031,f2238])).
% 5.10/1.09 tff(f5031,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,append(X0,X1,X2)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4465,f347])).
% 5.10/1.09 tff(f8665,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4693,f823])).
% 5.10/1.09 tff(f8662,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4693,f641])).
% 5.10/1.09 tff(f8661,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4693,f641])).
% 5.10/1.09 tff(f8672,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8659,f328])).
% 5.10/1.09 tff(f8659,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X4))) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4693,f823])).
% 5.10/1.09 tff(f8671,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,X4)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8656,f328])).
% 5.10/1.09 tff(f8656,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,rev(X0,rev(X0,X4)))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4693,f823])).
% 5.10/1.09 tff(f8654,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))))) )),
% 5.10/1.09 inference(superposition,[],[f4693,f2238])).
% 5.10/1.09 tff(f8670,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,append(X0,X3,X4))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8649,f328])).
% 5.10/1.09 tff(f8649,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4693,f823])).
% 5.10/1.09 tff(f8647,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4693,f351])).
% 5.10/1.09 tff(f8646,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4693,f347])).
% 5.10/1.09 tff(f4693,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f4489,f430])).
% 5.10/1.09 tff(f8638,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (X2 != X3 | ~null(X0,rev(X0,rotate1(X0,X3))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8635,f328])).
% 5.10/1.09 tff(f8635,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | ~null(X0,rev(X0,rotate1(X0,X3))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4632,f823])).
% 5.10/1.09 tff(f4632,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,rev(X0,rotate1(X0,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4621,f328])).
% 5.10/1.09 tff(f4621,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X2))))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4466,f823])).
% 5.10/1.09 tff(f8626,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X2 | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4546,f823])).
% 5.10/1.09 tff(f8629,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != sK8(X0,X3) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8621,f328])).
% 5.10/1.09 tff(f8621,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != sK8(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4546,f823])).
% 5.10/1.09 tff(f8618,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != sK8(X0,X1) | nil(X0) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4546,f347])).
% 5.10/1.09 tff(f8614,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f4546,f430])).
% 5.10/1.09 tff(f4546,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != sK8(X0,cons(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4539,f326])).
% 5.10/1.09 tff(f4539,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4507,f631])).
% 5.10/1.09 tff(f8613,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,rev(X0,append(X0,X2,X3))) | ~distinct(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8594,f2134])).
% 5.10/1.09 tff(f8594,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,rev(X0,append(X0,X2,X3))) | ~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f5686,f4530])).
% 5.10/1.09 tff(f8612,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,X3)) != rev(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8593,f2134])).
% 5.10/1.09 tff(f8593,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,X3)) != rev(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f5610,f4530])).
% 5.10/1.09 tff(f8611,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,append(X0,X2,X3)) | ~distinct(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8591,f2134])).
% 5.10/1.09 tff(f8591,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,append(X0,X2,X3)) | ~distinct(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f4554,f4530])).
% 5.10/1.09 tff(f8610,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != X4 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8588,f2134])).
% 5.10/1.09 tff(f8588,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != X4 | append(X0,cons(X0,X1,X2),X3) != X4 | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f1940,f4530])).
% 5.10/1.09 tff(f8607,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8585,f326])).
% 5.10/1.09 tff(f8585,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = append(X0,X2,X3) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4530,f631])).
% 5.10/1.09 tff(f8584,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) = rev(X0,rev(X0,X4)) | sK8(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4530,f823])).
% 5.10/1.09 tff(f8606,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8583,f565])).
% 5.10/1.09 tff(f8583,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,X2,X3) = butlast(X0,insert(X0,X4,nil(X0))) | nil(X0) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4530,f2662])).
% 5.10/1.09 tff(f8605,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) = sK8(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8580,f328])).
% 5.10/1.09 tff(f8580,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) = sK8(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4530,f823])).
% 5.10/1.09 tff(f8604,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rotate1(X0,cons(X0,X3,X2)) = sK8(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8578,f2238])).
% 5.10/1.09 tff(f8578,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (append(X0,X2,insert(X0,X3,nil(X0))) = sK8(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(superposition,[],[f4530,f2238])).
% 5.10/1.09 tff(f8601,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) = sK8(X0,append(X0,X3,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8573,f328])).
% 5.10/1.09 tff(f8573,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) = sK8(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4530,f823])).
% 5.10/1.09 tff(f8571,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK8(X0,X1),X2) = sK8(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4530,f351])).
% 5.10/1.09 tff(f8570,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK4(X0,X1),X2) = sK8(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4530,f347])).
% 5.10/1.09 tff(f4530,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) = sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4507,f430])).
% 5.10/1.09 tff(f8562,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X2 | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4528,f823])).
% 5.10/1.09 tff(f8565,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != sK4(X0,X3) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8558,f328])).
% 5.10/1.09 tff(f8558,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != sK4(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4528,f823])).
% 5.10/1.09 tff(f8556,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != sK4(X0,X1) | nil(X0) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4528,f351])).
% 5.10/1.09 tff(f8551,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f4528,f430])).
% 5.10/1.09 tff(f4528,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != sK4(X0,cons(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4521,f326])).
% 5.10/1.09 tff(f4521,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4506,f631])).
% 5.10/1.09 tff(f8550,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,rev(X0,append(X0,X2,X3))) | ~distinct(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8531,f2134])).
% 5.10/1.09 tff(f8531,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,rev(X0,append(X0,X2,X3))) | ~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f5685,f4512])).
% 5.10/1.09 tff(f8549,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,X3)) != rev(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8530,f2134])).
% 5.10/1.09 tff(f8530,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,X3)) != rev(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f5609,f4512])).
% 5.10/1.09 tff(f8548,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,append(X0,X2,X3)) | ~distinct(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8528,f2134])).
% 5.10/1.09 tff(f8528,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,append(X0,X2,X3)) | ~distinct(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f4553,f4512])).
% 5.10/1.09 tff(f8547,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != X4 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8526,f2134])).
% 5.10/1.09 tff(f8526,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != X4 | append(X0,cons(X0,X1,X2),X3) != X4 | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.09 inference(superposition,[],[f1906,f4512])).
% 5.10/1.09 tff(f8544,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8523,f326])).
% 5.10/1.09 tff(f8523,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = append(X0,X2,X3) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4512,f631])).
% 5.10/1.09 tff(f8522,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) = rev(X0,rev(X0,X4)) | sK4(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4512,f823])).
% 5.10/1.09 tff(f8543,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) = append(X0,X2,X3) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8521,f565])).
% 5.10/1.09 tff(f8521,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,X2,X3) = butlast(X0,insert(X0,X4,nil(X0))) | nil(X0) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4512,f2662])).
% 5.10/1.09 tff(f8542,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) = sK4(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8519,f328])).
% 5.10/1.09 tff(f8519,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) = sK4(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4512,f823])).
% 5.10/1.09 tff(f8541,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rotate1(X0,cons(X0,X3,X2)) = sK4(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8517,f2238])).
% 5.10/1.09 tff(f8517,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (append(X0,X2,insert(X0,X3,nil(X0))) = sK4(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(superposition,[],[f4512,f2238])).
% 5.10/1.09 tff(f8538,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) = sK4(X0,append(X0,X3,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8512,f328])).
% 5.10/1.09 tff(f8512,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) = sK4(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4512,f823])).
% 5.10/1.09 tff(f8510,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK8(X0,X1),X2) = sK4(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4512,f351])).
% 5.10/1.09 tff(f8509,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK4(X0,X1),X2) = sK4(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4512,f347])).
% 5.10/1.09 tff(f4512,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) = sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4506,f430])).
% 5.10/1.09 tff(f8502,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (X3 != X4 | ~null(X0,X2) | nil(X0) = X4 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8497,f328])).
% 5.10/1.09 tff(f8497,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~null(X0,X2) | nil(X0) = X4 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3458,f823])).
% 5.10/1.09 tff(f3458,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) != X3 | ~null(X0,X2) | nil(X0) = X3) )),
% 5.10/1.09 inference(superposition,[],[f2321,f376])).
% 5.10/1.09 tff(f8489,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (takeWhile(X0,X1,X2) = takeWhile(X0,X1,append(X0,X2,cons(X0,X3,X4))) | dropWhile(X0,X1,X5) = dropWhile(X0,X1,cons(X0,X3,X5))) )),
% 5.10/1.09 inference(resolution,[],[f453,f433])).
% 5.10/1.09 tff(f8488,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0),X5 : list(X0)] : (takeWhile(X0,X1,X2) = takeWhile(X0,X1,append(X0,X2,cons(X0,X3,X4))) | takeWhile(X0,X1,cons(X0,X3,X5)) = cons(X0,X3,takeWhile(X0,X1,X5))) )),
% 5.10/1.09 inference(resolution,[],[f453,f435])).
% 5.10/1.09 tff(f453,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : fun(X0,bool)] : (pp(aa(X0,bool,X4,X3)) | takeWhile(X0,X4,X2) = takeWhile(X0,X4,append(X0,X2,cons(X0,X3,X1)))) )),
% 5.10/1.09 inference(cnf_transformation,[],[f239])).
% 5.10/1.09 tff(f239,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : X0,X4 : fun(X0,bool)] : (takeWhile(X0,X4,X2) = takeWhile(X0,X4,append(X0,X2,cons(X0,X3,X1))) | pp(aa(X0,bool,X4,X3)))),
% 5.10/1.09 inference(ennf_transformation,[],[f193])).
% 5.10/1.09 tff(f193,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : X0,X4 : fun(X0,bool)] : (~pp(aa(X0,bool,X4,X3)) => takeWhile(X0,X4,X2) = takeWhile(X0,X4,append(X0,X2,cons(X0,X3,X1))))),
% 5.10/1.09 inference(rectify,[],[f55])).
% 5.10/1.09 tff(f55,axiom,(
% 5.10/1.09 ! [X0 : $tType,X36 : list(X0),X11 : list(X0),X28 : X0,X25 : fun(X0,bool)] : (~pp(aa(X0,bool,X25,X28)) => takeWhile(X0,X25,X11) = takeWhile(X0,X25,append(X0,X11,cons(X0,X28,X36))))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_takeWhile__tail)).
% 5.10/1.09 tff(f8484,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | nil(X0) != X5 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f3149,f823])).
% 5.10/1.09 tff(f8482,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) != X4 | nil(X0) != X4) )),
% 5.10/1.09 inference(superposition,[],[f3149,f2238])).
% 5.10/1.09 tff(f8487,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X4) != X5 | nil(X0) != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8477,f328])).
% 5.10/1.09 tff(f8477,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) != X5 | nil(X0) != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3149,f823])).
% 5.10/1.09 tff(f8475,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | nil(X0) != X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3149,f351])).
% 5.10/1.09 tff(f8474,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | nil(X0) != X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3149,f347])).
% 5.10/1.09 tff(f8471,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X2) != X3 | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3149,f335])).
% 5.10/1.09 tff(f8470,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,append(X0,cons(X0,X1,X2),X3),X4) != X5 | nil(X0) != X5) )),
% 5.10/1.09 inference(superposition,[],[f3149,f430])).
% 5.10/1.09 tff(f3149,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | nil(X0) != X4) )),
% 5.10/1.09 inference(superposition,[],[f3138,f430])).
% 5.10/1.09 tff(f8469,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != X3 | sP0(X0,X2,nil(X0),X4,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8467,f328])).
% 5.10/1.09 tff(f8467,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | sP0(X0,X2,nil(X0),X4,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2931,f823])).
% 5.10/1.09 tff(f8462,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | sP0(X0,rev(X0,X2),nil(X0),X3,X3)) )),
% 5.10/1.09 inference(superposition,[],[f2931,f378])).
% 5.10/1.09 tff(f8458,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | sP0(X0,X3,nil(X0),X4,X4)) )),
% 5.10/1.09 inference(superposition,[],[f2931,f429])).
% 5.10/1.09 tff(f2931,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | sP0(X0,X2,nil(X0),X3,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f2930,f326])).
% 5.10/1.09 tff(f2930,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,rev(X0,nil(X0)),X3,X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f2926,f415])).
% 5.10/1.09 tff(f2926,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,rev(X0,nil(X0)),X3,X3) | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2716,f631])).
% 5.10/1.09 tff(f8453,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != X3 | sP0(X0,nil(X0),X2,X4,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8451,f328])).
% 5.10/1.09 tff(f8451,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | sP0(X0,nil(X0),X2,X4,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2892,f823])).
% 5.10/1.09 tff(f8446,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | sP0(X0,nil(X0),rev(X0,X2),X3,X3)) )),
% 5.10/1.09 inference(superposition,[],[f2892,f378])).
% 5.10/1.09 tff(f8442,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | sP0(X0,nil(X0),X3,X4,X4)) )),
% 5.10/1.09 inference(superposition,[],[f2892,f429])).
% 5.10/1.09 tff(f2892,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | sP0(X0,nil(X0),X2,X3,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f2891,f326])).
% 5.10/1.09 tff(f2891,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,nil(X0)),X2,X3,X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f2887,f415])).
% 5.10/1.09 tff(f2887,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,nil(X0)),X2,X3,X3) | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2714,f631])).
% 5.10/1.09 tff(f8437,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != X3 | sP0(X0,X4,X4,X1,nil(X0)) | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8435,f328])).
% 5.10/1.09 tff(f8435,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | sP0(X0,X4,X4,X1,nil(X0)) | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2834,f823])).
% 5.10/1.09 tff(f8430,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | sP0(X0,X3,X3,rev(X0,X1),nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f2834,f378])).
% 5.10/1.09 tff(f8426,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | sP0(X0,X4,X4,append(X0,X1,X2),nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f2834,f429])).
% 5.10/1.09 tff(f2834,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | sP0(X0,X3,X3,X1,nil(X0))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f2833,f326])).
% 5.10/1.09 tff(f2833,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X1,rev(X0,nil(X0))) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.09 inference(superposition,[],[f2647,f631])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != X3 | sP0(X0,X4,X4,nil(X0),X1) | append(X0,X1,X2) != X3) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | sP0(X0,X4,X4,nil(X0),X1) | append(X0,X1,X2) != X3) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | sP0(X0,X3,X3,nil(X0),rev(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f2805,f378])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | sP0(X0,X4,X4,nil(X0),append(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f2805,f429])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | sP0(X0,X3,X3,nil(X0),X1)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,nil(X0)),X1) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,nil(X0)),X1) | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,takeWhile(X0,X1,X2),X2) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1100,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1099,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,X2,cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,X2,cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1097,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,X2,X3),takeWhile(X0,X1,X2),X2) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1096,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,X2,X3),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,append(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X2) = X2 | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f376,f8377])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != rev(X0,X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8377,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != rev(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f8377,f2662])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) = X2 | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != nil(X0) | dropWhile(X0,X1,X2) = X2 | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2629,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1102,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1101,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1100,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1098,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8366,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1097,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),nil(X0),X2) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,X3) | nil(X0) != rev(X0,X2)) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,nil(X0))) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,nil(X0)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8362,f331])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,nil(X0)),X3) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f376,f7905])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != rev(X0,X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7905,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = takeWhile(X0,X1,X2) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f6485,f376])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | splice(X0,cons(X0,X1,X2),insert(X0,X3,nil(X0))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f8306,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X3,X4),X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8347,f328])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X3,X4),rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f8306,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != splice(X0,X3,insert(X0,X4,nil(X0))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8344,f328])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != splice(X0,rev(X0,rev(X0,X3)),insert(X0,X4,nil(X0))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8306,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != splice(X0,X1,insert(X0,X2,nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8306,f351])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != splice(X0,X1,insert(X0,X2,nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8306,f347])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (nil(X0) != splice(X0,insert(X0,X1,nil(X0)),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8306,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != splice(X0,append(X0,cons(X0,X1,X2),X3),insert(X0,X4,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8306,f430])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != splice(X0,cons(X0,X2,X3),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8295,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | splice(X0,insert(X0,X1,nil(X0)),cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f8297,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != splice(X0,insert(X0,X4,nil(X0)),X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8330,f328])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != splice(X0,insert(X0,X4,nil(X0)),rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != splice(X0,insert(X0,X2,nil(X0)),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8297,f351])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != splice(X0,insert(X0,X2,nil(X0)),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8297,f347])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (nil(X0) != splice(X0,insert(X0,X2,nil(X0)),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f8297,f335])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != splice(X0,insert(X0,X4,nil(X0)),append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f8297,f430])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != splice(X0,X2,cons(X0,X3,X4)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8321,f328])).
% 5.10/1.09 tff(f8321,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != splice(X0,rev(X0,rev(X0,X2)),cons(X0,X3,X4)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f8297,f823])).
% 5.10/1.09 tff(f8297,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != splice(X0,insert(X0,X1,nil(X0)),cons(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f8295,f335])).
% 5.10/1.09 tff(f8316,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X5)) | splice(X0,cons(X0,X1,X2),cons(X0,X3,X4)) != X5) )),
% 5.10/1.09 inference(superposition,[],[f8295,f823])).
% 5.10/1.09 tff(f8319,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X4,X5),X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8312,f328])).
% 5.10/1.09 tff(f8312,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X4,X5),rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8295,f823])).
% 5.10/1.09 tff(f8310,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X2,X3),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8295,f351])).
% 5.10/1.09 tff(f8309,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X2,X3),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8295,f347])).
% 5.10/1.09 tff(f8305,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X4,X5),append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f8295,f430])).
% 5.10/1.09 tff(f8318,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (nil(X0) != splice(X0,X3,cons(X0,X4,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8303,f328])).
% 5.10/1.09 tff(f8303,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (nil(X0) != splice(X0,rev(X0,rev(X0,X3)),cons(X0,X4,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8295,f823])).
% 5.10/1.09 tff(f8301,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != splice(X0,X1,cons(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8295,f351])).
% 5.10/1.09 tff(f8300,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != splice(X0,X1,cons(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f8295,f347])).
% 5.10/1.09 tff(f8296,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (nil(X0) != splice(X0,append(X0,cons(X0,X1,X2),X3),cons(X0,X4,X5))) )),
% 5.10/1.09 inference(superposition,[],[f8295,f430])).
% 5.10/1.09 tff(f8295,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X1,X2),cons(X0,X3,X4))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8294,f370])).
% 5.10/1.09 tff(f8294,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) = cons(X0,X1,cons(X0,X3,splice(X0,X2,X4))) | nil(X0) != splice(X0,cons(X0,X1,X2),cons(X0,X3,X4))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8283,f326])).
% 5.10/1.09 tff(f8283,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rev(X0,nil(X0)) = cons(X0,X1,cons(X0,X3,splice(X0,X2,X4))) | nil(X0) != splice(X0,cons(X0,X1,X2),cons(X0,X3,X4))) )),
% 5.10/1.09 inference(superposition,[],[f451,f631])).
% 5.10/1.09 tff(f8282,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0),X5 : list(X0)] : (cons(X0,X1,cons(X0,X3,splice(X0,X2,X4))) = rev(X0,rev(X0,X5)) | splice(X0,cons(X0,X1,X2),cons(X0,X3,X4)) != X5) )),
% 5.10/1.09 inference(superposition,[],[f451,f823])).
% 5.10/1.09 tff(f8293,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != splice(X0,cons(X0,X1,X2),cons(X0,X3,X4))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8292,f370])).
% 5.10/1.09 tff(f8292,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) = cons(X0,X1,cons(X0,X3,splice(X0,X2,X4))) | nil(X0) != splice(X0,cons(X0,X1,X2),cons(X0,X3,X4))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8281,f565])).
% 5.10/1.09 tff(f8281,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0),X5 : X0] : (cons(X0,X1,cons(X0,X3,splice(X0,X2,X4))) = butlast(X0,insert(X0,X5,nil(X0))) | nil(X0) != splice(X0,cons(X0,X1,X2),cons(X0,X3,X4))) )),
% 5.10/1.09 inference(superposition,[],[f451,f2662])).
% 5.10/1.09 tff(f8291,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,cons(X0,X1,splice(X0,X5,X2))) = splice(X0,cons(X0,X4,X5),X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8279,f328])).
% 5.10/1.09 tff(f8279,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,cons(X0,X1,splice(X0,X5,X2))) = splice(X0,cons(X0,X4,X5),rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f451,f823])).
% 5.10/1.09 tff(f8277,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (splice(X0,cons(X0,X2,X3),X1) = cons(X0,X2,cons(X0,sK7(X0,X1),splice(X0,X3,sK8(X0,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f451,f351])).
% 5.10/1.09 tff(f8276,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,cons(X0,sK3(X0,X1),splice(X0,X3,sK4(X0,X1)))) = splice(X0,cons(X0,X2,X3),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f451,f347])).
% 5.10/1.09 tff(f8288,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X2,cons(X0,X1,X3)) = splice(X0,cons(X0,X2,X3),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8273,f329])).
% 5.10/1.09 tff(f8273,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X2,cons(X0,X1,splice(X0,X3,nil(X0)))) = splice(X0,cons(X0,X2,X3),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f451,f335])).
% 5.10/1.09 tff(f8272,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,cons(X0,X1,splice(X0,X5,append(X0,X2,X3)))) = splice(X0,cons(X0,X4,X5),append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f451,f430])).
% 5.10/1.09 tff(f8287,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X1,cons(X0,X4,splice(X0,X2,X5))) = splice(X0,X3,cons(X0,X4,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8270,f328])).
% 5.10/1.09 tff(f8270,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X1,cons(X0,X4,splice(X0,X2,X5))) = splice(X0,rev(X0,rev(X0,X3)),cons(X0,X4,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f451,f823])).
% 5.10/1.09 tff(f8268,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (splice(X0,X1,cons(X0,X2,X3)) = cons(X0,sK7(X0,X1),cons(X0,X2,splice(X0,sK8(X0,X1),X3))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f451,f351])).
% 5.10/1.09 tff(f8267,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,sK3(X0,X1),cons(X0,X2,splice(X0,sK4(X0,X1),X3))) = splice(X0,X1,cons(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f451,f347])).
% 5.10/1.09 tff(f8284,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,cons(X0,X2,X3)) = splice(X0,insert(X0,X1,nil(X0)),cons(X0,X2,X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8264,f330])).
% 5.10/1.09 tff(f8264,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,cons(X0,X2,splice(X0,nil(X0),X3))) = splice(X0,insert(X0,X1,nil(X0)),cons(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f451,f335])).
% 5.10/1.09 tff(f8263,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X1,cons(X0,X4,splice(X0,append(X0,X2,X3),X5))) = splice(X0,append(X0,cons(X0,X1,X2),X3),cons(X0,X4,X5))) )),
% 5.10/1.09 inference(superposition,[],[f451,f430])).
% 5.10/1.09 tff(f451,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (splice(X0,cons(X0,X4,X3),cons(X0,X2,X1)) = cons(X0,X4,cons(X0,X2,splice(X0,X3,X1)))) )),
% 5.10/1.09 inference(cnf_transformation,[],[f191])).
% 5.10/1.09 tff(f191,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : X0] : splice(X0,cons(X0,X4,X3),cons(X0,X2,X1)) = cons(X0,X4,cons(X0,X2,splice(X0,X3,X1)))),
% 5.10/1.09 inference(rectify,[],[f14])).
% 5.10/1.09 tff(f14,axiom,(
% 5.10/1.09 ! [X0 : $tType,X22 : list(X0),X17 : X0,X19 : list(X0),X6 : X0] : splice(X0,cons(X0,X6,X19),cons(X0,X17,X22)) = cons(X0,X6,cons(X0,X17,splice(X0,X19,X22)))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_splice_Osimps_I3_J)).
% 5.10/1.09 tff(f8256,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,rev(X0,X2)) != insert(X0,X3,nil(X0)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7892,f823])).
% 5.10/1.09 tff(f8252,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (insert(X0,X3,nil(X0)) != X2 | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7892,f823])).
% 5.10/1.09 tff(f8248,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,X2) != insert(X0,X3,nil(X0)) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7892,f641])).
% 5.10/1.09 tff(f8247,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,X2) != insert(X0,X3,nil(X0)) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7892,f641])).
% 5.10/1.09 tff(f8245,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X3) != rev(X0,rev(X0,X2)) | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7892,f823])).
% 5.10/1.09 tff(f7892,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7882,f326])).
% 5.10/1.09 tff(f7882,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | rev(X0,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6460,f335])).
% 5.10/1.09 tff(f8239,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK6(X0,X3) = X1 | rev(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7615,f823])).
% 5.10/1.09 tff(f8236,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7615,f641])).
% 5.10/1.09 tff(f8235,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7615,f641])).
% 5.10/1.09 tff(f8242,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8232,f328])).
% 5.10/1.09 tff(f8232,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,rev(X0,X2))) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7615,f823])).
% 5.10/1.09 tff(f7615,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,insert(X0,X1,nil(X0))) != X2 | sK6(X0,X2) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7380,f335])).
% 5.10/1.09 tff(f8227,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK6(X0,rev(X0,X3)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7605,f823])).
% 5.10/1.09 tff(f7605,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK6(X0,rev(X0,X2)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7366,f335])).
% 5.10/1.09 tff(f8221,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK6(X0,X3) = X1 | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7529,f823])).
% 5.10/1.09 tff(f8224,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,X2) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8217,f328])).
% 5.10/1.09 tff(f8217,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,rev(X0,rev(X0,X2))) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7529,f823])).
% 5.10/1.09 tff(f7529,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,insert(X0,X1,nil(X0))) != X2 | sK6(X0,X2) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7354,f335])).
% 5.10/1.09 tff(f8212,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK6(X0,rotate1(X0,X3)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7519,f823])).
% 5.10/1.09 tff(f7519,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK6(X0,rotate1(X0,X2)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7353,f335])).
% 5.10/1.09 tff(f8210,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,sK5(X0,rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8203,f4489])).
% 5.10/1.09 tff(f8203,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,sK5(X0,rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0))) | nil(X0) = rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7447])).
% 5.10/1.09 tff(f8209,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK6(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8196,f326])).
% 5.10/1.09 tff(f8196,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK6(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f7447,f631])).
% 5.10/1.09 tff(f8195,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | sK6(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7447,f823])).
% 5.10/1.09 tff(f8194,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != sK6(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f7447,f2662])).
% 5.10/1.09 tff(f8208,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,X4) = X2 | rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8192,f328])).
% 5.10/1.09 tff(f8192,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,X4))) = X2 | rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7447,f823])).
% 5.10/1.09 tff(f8189,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7447,f641])).
% 5.10/1.09 tff(f8188,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7447,f641])).
% 5.10/1.09 tff(f8207,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8186,f328])).
% 5.10/1.09 tff(f8186,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,rev(X0,X4)))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7447,f823])).
% 5.10/1.09 tff(f8206,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rotate1(X0,X4))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8183,f328])).
% 5.10/1.09 tff(f8183,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X4))))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7447,f823])).
% 5.10/1.09 tff(f8205,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8180,f5095])).
% 5.10/1.09 tff(f8180,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rev(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3)))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7447,f823])).
% 5.10/1.09 tff(f8178,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7447,f351])).
% 5.10/1.09 tff(f8177,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7447,f347])).
% 5.10/1.09 tff(f8174,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sK6(X0,rev(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7447,f335])).
% 5.10/1.09 tff(f8204,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rev(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8173,f430])).
% 5.10/1.09 tff(f8173,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rev(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7447,f430])).
% 5.10/1.09 tff(f7447,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK6(X0,rev(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7357,f2238])).
% 5.10/1.09 tff(f8172,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,sK5(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8165,f4863])).
% 5.10/1.09 tff(f8165,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,sK5(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0))) | nil(X0) = rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7415])).
% 5.10/1.09 tff(f8171,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK6(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8158,f326])).
% 5.10/1.09 tff(f8158,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK6(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f7415,f631])).
% 5.10/1.09 tff(f8157,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | sK6(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7415,f823])).
% 5.10/1.09 tff(f8156,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != sK6(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f7415,f2662])).
% 5.10/1.09 tff(f8170,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,X4) = X2 | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8154,f328])).
% 5.10/1.09 tff(f8154,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,X4))) = X2 | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7415,f823])).
% 5.10/1.09 tff(f8169,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8151,f328])).
% 5.10/1.09 tff(f8151,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7415,f823])).
% 5.10/1.09 tff(f8168,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,rotate1(X0,X4))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8148,f328])).
% 5.10/1.09 tff(f8148,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,rotate1(X0,rev(X0,rev(X0,X4))))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7415,f823])).
% 5.10/1.09 tff(f8167,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X4,X3)))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8145,f328])).
% 5.10/1.09 tff(f8145,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3)))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7415,f823])).
% 5.10/1.09 tff(f8143,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7415,f351])).
% 5.10/1.09 tff(f8142,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7415,f347])).
% 5.10/1.09 tff(f8139,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7415,f335])).
% 5.10/1.09 tff(f8166,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rotate1(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8138,f430])).
% 5.10/1.09 tff(f8138,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7415,f430])).
% 5.10/1.09 tff(f7415,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK6(X0,rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7334,f2238])).
% 5.10/1.09 tff(f8136,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | cons(X0,X4,X5) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6508,f823])).
% 5.10/1.09 tff(f8133,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (nil(X0) != X2 | dropWhile(X0,X1,X2) != cons(X0,X3,X4)) )),
% 5.10/1.09 inference(superposition,[],[f6508,f376])).
% 5.10/1.09 tff(f8131,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | rev(X0,X2) != cons(X0,X3,X4)) )),
% 5.10/1.09 inference(superposition,[],[f6508,f378])).
% 5.10/1.09 tff(f8127,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | cons(X0,X4,X5) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6508,f429])).
% 5.10/1.09 tff(f6508,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6498,f328])).
% 5.10/1.09 tff(f6498,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6489,f823])).
% 5.10/1.09 tff(f8118,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | last(X0,X3) = X1 | rev(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6025,f823])).
% 5.10/1.09 tff(f8115,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6025,f641])).
% 5.10/1.09 tff(f8114,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6025,f641])).
% 5.10/1.09 tff(f8121,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8111,f328])).
% 5.10/1.09 tff(f8111,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,rev(X0,X2))) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6025,f823])).
% 5.10/1.09 tff(f6025,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,insert(X0,X1,nil(X0))) != X2 | last(X0,X2) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5603,f335])).
% 5.10/1.09 tff(f8106,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,X3) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8099,f328])).
% 5.10/1.09 tff(f8099,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,rev(X0,rev(X0,X3))) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f8071,f823])).
% 5.10/1.09 tff(f8071,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(trivial_inequality_removal,[],[f8037])).
% 5.10/1.09 tff(f8037,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != nil(X0) | distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f768,f3432])).
% 5.10/1.09 tff(f8093,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) != rev(X0,insert(X0,X3,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8067,f335])).
% 5.10/1.09 tff(f8067,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) != rev(X0,cons(X0,X3,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7837,f3432])).
% 5.10/1.09 tff(f8092,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = X3 | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8062,f323])).
% 5.10/1.09 tff(f8062,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (~null(X0,nil(X0)) | nil(X0) = X3 | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7010,f3432])).
% 5.10/1.09 tff(f8059,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,nil(X0)) != X4 | dropWhile(X0,X1,X2) != rev(X0,X4) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6448,f3432])).
% 5.10/1.09 tff(f8056,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (nil(X0) != rev(X0,X3) | dropWhile(X0,X1,X2) != cons(X0,X4,X3) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f3432])).
% 5.10/1.09 tff(f8091,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (insert(X0,X3,nil(X0)) = cons(X0,X3,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8090,f1383])).
% 5.10/1.09 tff(f8090,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (cons(X0,X3,dropWhile(X0,X1,X2)) = rev(X0,insert(X0,X3,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8089,f4395])).
% 5.10/1.09 tff(f8089,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (cons(X0,X3,dropWhile(X0,X1,X2)) = rev(X0,rotate1(X0,insert(X0,X3,nil(X0)))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8051,f335])).
% 5.10/1.09 tff(f8051,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (cons(X0,X3,dropWhile(X0,X1,X2)) = rev(X0,rotate1(X0,cons(X0,X3,nil(X0)))) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5095,f3432])).
% 5.10/1.09 tff(f8088,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (insert(X0,X3,nil(X0)) = rev(X0,cons(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8087,f4395])).
% 5.10/1.09 tff(f8087,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (rotate1(X0,insert(X0,X3,nil(X0))) = rev(X0,cons(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8086,f335])).
% 5.10/1.09 tff(f8086,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (rotate1(X0,cons(X0,X3,nil(X0))) = rev(X0,cons(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8050,f2238])).
% 5.10/1.09 tff(f8050,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (append(X0,nil(X0),insert(X0,X3,nil(X0))) = rev(X0,cons(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4619,f3432])).
% 5.10/1.09 tff(f8085,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,dropWhile(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8049,f323])).
% 5.10/1.09 tff(f8049,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : fun(X0,bool)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,dropWhile(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f3107,f3432])).
% 5.10/1.09 tff(f8069,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(duplicate_literal_removal,[],[f8047])).
% 5.10/1.09 tff(f8047,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f1020,f3432])).
% 5.10/1.09 tff(f8084,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8045,f638])).
% 5.10/1.09 tff(f8045,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | distinct(X0,dropWhile(X0,X1,X2)) | ~distinct(X0,X3) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f1018,f3432])).
% 5.10/1.09 tff(f8044,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (rev(X0,nil(X0)) != X3 | dropWhile(X0,X1,X2) != cons(X0,X4,X3) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f918,f3432])).
% 5.10/1.09 tff(f8083,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,X3) | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8041,f324])).
% 5.10/1.09 tff(f8041,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (~distinct(X0,nil(X0)) | distinct(X0,X3) | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f824,f3432])).
% 5.10/1.09 tff(f8040,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,nil(X0)) = X3 | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f823,f3432])).
% 5.10/1.09 tff(f8036,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,X3) | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f641,f3432])).
% 5.10/1.09 tff(f8035,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,X3) | dropWhile(X0,X1,X2) != X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f641,f3432])).
% 5.10/1.09 tff(f8034,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X3 | dropWhile(X0,X1,X2) = rev(X0,X3) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f590,f3432])).
% 5.10/1.09 tff(f8032,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != rev(X0,X3) | dropWhile(X0,X1,X2) = X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f421,f3432])).
% 5.10/1.09 tff(f8031,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != rev(X0,X3) | dropWhile(X0,X1,X2) = X3 | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f421,f3432])).
% 5.10/1.09 tff(f8082,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,X3) = rev(X0,append(X0,dropWhile(X0,X1,X2),X3)) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8030,f331])).
% 5.10/1.09 tff(f8030,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,rev(X0,X3),nil(X0)) = rev(X0,append(X0,dropWhile(X0,X1,X2),X3)) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f378,f3432])).
% 5.10/1.09 tff(f8081,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,X3) = rev(X0,append(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8029,f332])).
% 5.10/1.09 tff(f8029,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),rev(X0,X3)) = rev(X0,append(X0,X3,dropWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f378,f3432])).
% 5.10/1.09 tff(f8080,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f8026,f324])).
% 5.10/1.09 tff(f8026,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (~distinct(X0,nil(X0)) | distinct(X0,dropWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f357,f3432])).
% 5.10/1.09 tff(f8021,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != X2 | rev(X0,dropWhile(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3432,f823])).
% 5.10/1.09 tff(f8019,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,X3) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3432,f641])).
% 5.10/1.09 tff(f8018,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,X3) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3432,f641])).
% 5.10/1.09 tff(f8078,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,X3) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f8016,f328])).
% 5.10/1.09 tff(f8016,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,rev(X0,X3))) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3432,f823])).
% 5.10/1.09 tff(f3432,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = rev(X0,dropWhile(X0,X2,X1)) | nil(X0) != X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f3424,f323])).
% 5.10/1.09 tff(f3424,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,dropWhile(X0,X2,X1)) | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f3107,f583])).
% 5.10/1.09 tff(f3429,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (~null(X0,X1) | nil(X0) = rev(X0,dropWhile(X0,X2,rev(X0,X1)))) )),
% 5.10/1.09 inference(superposition,[],[f3107,f328])).
% 5.10/1.09 tff(f8004,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,takeWhile(X0,X1,X3)) | nil(X0) = takeWhile(X0,X1,cons(X0,X2,X4))) )),
% 5.10/1.09 inference(resolution,[],[f435,f436])).
% 5.10/1.09 tff(f8003,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,cons(X0,X2,X3)) = cons(X0,X2,takeWhile(X0,X1,X3)) | cons(X0,X2,X4) = dropWhile(X0,X1,cons(X0,X2,X4))) )),
% 5.10/1.09 inference(resolution,[],[f435,f434])).
% 5.10/1.09 tff(f435,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (~pp(aa(X0,bool,X3,X2)) | takeWhile(X0,X3,cons(X0,X2,X1)) = cons(X0,X2,takeWhile(X0,X3,X1))) )),
% 5.10/1.09 inference(cnf_transformation,[],[f238])).
% 5.10/1.09 tff(f238,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : fun(X0,bool)] : ((nil(X0) = takeWhile(X0,X3,cons(X0,X2,X1)) | pp(aa(X0,bool,X3,X2))) & (takeWhile(X0,X3,cons(X0,X2,X1)) = cons(X0,X2,takeWhile(X0,X3,X1)) | ~pp(aa(X0,bool,X3,X2))))),
% 5.10/1.09 inference(ennf_transformation,[],[f185])).
% 5.10/1.09 tff(f185,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : fun(X0,bool)] : ((~pp(aa(X0,bool,X3,X2)) => nil(X0) = takeWhile(X0,X3,cons(X0,X2,X1))) & (pp(aa(X0,bool,X3,X2)) => takeWhile(X0,X3,cons(X0,X2,X1)) = cons(X0,X2,takeWhile(X0,X3,X1))))),
% 5.10/1.09 inference(rectify,[],[f39])).
% 5.10/1.09 tff(f39,axiom,(
% 5.10/1.09 ! [X0 : $tType,X11 : list(X0),X28 : X0,X25 : fun(X0,bool)] : ((~pp(aa(X0,bool,X25,X28)) => nil(X0) = takeWhile(X0,X25,cons(X0,X28,X11))) & (pp(aa(X0,bool,X25,X28)) => takeWhile(X0,X25,cons(X0,X28,X11)) = cons(X0,X28,takeWhile(X0,X25,X11))))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_takeWhile_Osimps_I2_J)).
% 5.10/1.09 tff(f3193,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (X2 != X3 | nil(X0) = takeWhile(X0,X1,X2) | ~null(X0,X3)) )),
% 5.10/1.09 inference(superposition,[],[f2237,f376])).
% 5.10/1.09 tff(f7988,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != takeWhile(X0,X4,X5) | nil(X0) != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3145,f823])).
% 5.10/1.09 tff(f7986,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,X3) != X1 | nil(X0) != X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3145,f351])).
% 5.10/1.09 tff(f7985,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (takeWhile(X0,X2,X3) != X1 | nil(X0) != X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3145,f347])).
% 5.10/1.09 tff(f7982,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != takeWhile(X0,X2,X3) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3145,f335])).
% 5.10/1.09 tff(f7981,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != takeWhile(X0,X4,X5) | nil(X0) != X5) )),
% 5.10/1.09 inference(superposition,[],[f3145,f430])).
% 5.10/1.09 tff(f7979,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3145,f823])).
% 5.10/1.09 tff(f3145,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (takeWhile(X0,X1,X2) != cons(X0,X3,X4) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f2209,f376])).
% 5.10/1.09 tff(f7969,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | sK7(X0,X5) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f3033,f823])).
% 5.10/1.09 tff(f7967,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) != X4 | sK7(X0,X4) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3033,f2238])).
% 5.10/1.09 tff(f7972,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X4) != X5 | sK7(X0,X5) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7962,f328])).
% 5.10/1.09 tff(f7962,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) != X5 | sK7(X0,X5) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3033,f823])).
% 5.10/1.09 tff(f7960,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | sK7(X0,X1) = sK7(X0,X3) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3033,f351])).
% 5.10/1.09 tff(f7959,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | sK3(X0,X1) = sK7(X0,X3) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3033,f347])).
% 5.10/1.09 tff(f7956,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X2) != X3 | sK7(X0,X3) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3033,f335])).
% 5.10/1.09 tff(f7955,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,append(X0,cons(X0,X1,X2),X3),X4) != X5 | sK7(X0,X5) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3033,f430])).
% 5.10/1.09 tff(f3033,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK7(X0,X4) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f3020,f328])).
% 5.10/1.09 tff(f3020,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK7(X0,rev(X0,rev(X0,X4))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f2983,f823])).
% 5.10/1.09 tff(f7952,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK7(X0,append(X0,X4,X5)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f3032,f823])).
% 5.10/1.09 tff(f7950,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = sK7(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3032,f351])).
% 5.10/1.09 tff(f7949,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = sK7(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3032,f347])).
% 5.10/1.09 tff(f7946,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK7(X0,append(X0,X2,X3)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3032,f335])).
% 5.10/1.09 tff(f7945,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK7(X0,append(X0,X4,X5)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3032,f430])).
% 5.10/1.09 tff(f3032,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | sK7(X0,append(X0,X3,X4)) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f3015,f328])).
% 5.10/1.09 tff(f3015,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK7(X0,append(X0,rev(X0,rev(X0,X3)),X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2983,f823])).
% 5.10/1.09 tff(f7936,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X4)) != cons(X0,X1,X3) | cons(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7144,f823])).
% 5.10/1.09 tff(f7944,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X4,X3) != cons(X0,X4,X2) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7933,f328])).
% 5.10/1.09 tff(f7933,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X4,rev(X0,rev(X0,X3))) != cons(X0,X4,X2) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7144,f823])).
% 5.10/1.09 tff(f7943,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X4,X2) != cons(X0,X4,rotate1(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7930,f328])).
% 5.10/1.09 tff(f7930,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X4,X2) != cons(X0,X4,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7144,f823])).
% 5.10/1.09 tff(f7928,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,sK8(X0,X1)) != cons(X0,X2,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7144,f351])).
% 5.10/1.09 tff(f7927,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,sK4(X0,X1)) != cons(X0,X2,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7144,f347])).
% 5.10/1.09 tff(f7938,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,cons(X0,X4,X2),X3) != cons(X0,X4,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7923,f430])).
% 5.10/1.09 tff(f7923,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X4,append(X0,X2,X3)) != cons(X0,X4,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7144,f430])).
% 5.10/1.09 tff(f7144,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,X3) != cons(X0,X1,rotate1(X0,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7132,f2164])).
% 5.10/1.09 tff(f7132,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X3) != cons(X0,X1,rotate1(X0,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7058,f2164])).
% 5.10/1.09 tff(f7922,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,bool)] : (linorder_sort_key(X0,bool,X1,cons(X0,X2,X3)) = linorder_insort_key(X0,bool,X1,X2,linorder_sort_key(X0,bool,X1,X3))) )),
% 5.10/1.09 inference(resolution,[],[f341,f321])).
% 5.10/1.09 tff(f341,plain,(
% 5.10/1.09 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,X0)] : (~linorder(X0) | linorder_sort_key(X1,X0,X4,cons(X1,X3,X2)) = linorder_insort_key(X1,X0,X4,X3,linorder_sort_key(X1,X0,X4,X2))) )),
% 5.10/1.09 inference(cnf_transformation,[],[f211])).
% 5.10/1.09 tff(f211,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : $tType] : (! [X2 : list(X1),X3 : X1,X4 : fun(X1,X0)] : linorder_sort_key(X1,X0,X4,cons(X1,X3,X2)) = linorder_insort_key(X1,X0,X4,X3,linorder_sort_key(X1,X0,X4,X2)) | ~linorder(X0))),
% 5.10/1.09 inference(ennf_transformation,[],[f123])).
% 5.10/1.09 tff(f123,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : list(X1),X3 : X1,X4 : fun(X1,X0)] : linorder_sort_key(X1,X0,X4,cons(X1,X3,X2)) = linorder_insort_key(X1,X0,X4,X3,linorder_sort_key(X1,X0,X4,X2)))),
% 5.10/1.09 inference(rectify,[],[f33])).
% 5.10/1.09 tff(f33,axiom,(
% 5.10/1.09 ! [X1 : $tType,X0 : $tType] : (linorder(X1) => ! [X11 : list(X0),X28 : X0,X29 : fun(X0,X1)] : linorder_sort_key(X0,X1,X29,cons(X0,X28,X11)) = linorder_insort_key(X0,X1,X29,X28,linorder_sort_key(X0,X1,X29,X11)))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_sort__key__simps_I2_J)).
% 5.10/1.09 tff(f7919,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | append(X0,X4,X3) != X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7057,f823])).
% 5.10/1.09 tff(f7057,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | append(X0,X3,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7043,f328])).
% 5.10/1.09 tff(f7043,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X3,rev(X0,rev(X0,X2))) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7039,f823])).
% 5.10/1.09 tff(f7914,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X1 | rev(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6485,f823])).
% 5.10/1.09 tff(f7911,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6485,f641])).
% 5.10/1.09 tff(f7910,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6485,f641])).
% 5.10/1.09 tff(f7917,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7908,f328])).
% 5.10/1.09 tff(f7908,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6485,f823])).
% 5.10/1.09 tff(f7904,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6485,f4619])).
% 5.10/1.09 tff(f7903,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6485,f378])).
% 5.10/1.09 tff(f7899,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f6485,f429])).
% 5.10/1.09 tff(f6485,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f5718,f378])).
% 5.10/1.09 tff(f7888,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != rev(X0,X4) | rev(X0,X2) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6460,f823])).
% 5.10/1.09 tff(f7886,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | rev(X0,sK8(X0,X1)) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6460,f351])).
% 5.10/1.09 tff(f7885,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | rev(X0,sK4(X0,X1)) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6460,f347])).
% 5.10/1.09 tff(f7881,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != rev(X0,X4) | rev(X0,append(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f6460,f430])).
% 5.10/1.09 tff(f7879,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != rev(X0,rev(X0,X2)) | rev(X0,X4) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6460,f823])).
% 5.10/1.09 tff(f7877,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | rev(X0,X4) != rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f6460,f5095])).
% 5.10/1.09 tff(f7875,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | rev(X0,X1) != rev(X0,X4) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6460,f823])).
% 5.10/1.09 tff(f7872,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X2,X3) | insert(X0,X1,nil(X0)) != rev(X0,X3)) )),
% 5.10/1.09 inference(superposition,[],[f6460,f1383])).
% 5.10/1.09 tff(f7870,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != cons(X0,X3,X4) | rev(X0,X4) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6460,f641])).
% 5.10/1.09 tff(f7869,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != cons(X0,X3,X4) | rev(X0,X4) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6460,f641])).
% 5.10/1.09 tff(f6460,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,X1) != cons(X0,X3,X2) | rev(X0,X2) != X1) )),
% 5.10/1.09 inference(superposition,[],[f5614,f328])).
% 5.10/1.09 tff(f7860,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != X2 | rev(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7837,f823])).
% 5.10/1.09 tff(f7867,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,insert(X0,X2,nil(X0))) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7866,f335])).
% 5.10/1.09 tff(f7866,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,nil(X0))) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7852,f326])).
% 5.10/1.09 tff(f7852,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,rev(X0,nil(X0)))) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7837,f631])).
% 5.10/1.09 tff(f7864,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (rev(X0,insert(X0,X3,nil(X0))) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7863,f335])).
% 5.10/1.09 tff(f7863,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,nil(X0))) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7850,f565])).
% 5.10/1.09 tff(f7850,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,butlast(X0,insert(X0,X2,nil(X0))))) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7837,f2662])).
% 5.10/1.09 tff(f7849,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rotate1(X0,cons(X0,X1,rev(X0,X2))) != rev(X0,cons(X0,X3,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7837,f5095])).
% 5.10/1.09 tff(f7844,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f7837,f1383])).
% 5.10/1.09 tff(f7842,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,rev(X0,X2))) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7837,f641])).
% 5.10/1.09 tff(f7837,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,rev(X0,X2))) != X2) )),
% 5.10/1.09 inference(equality_resolution,[],[f6448])).
% 5.10/1.09 tff(f7835,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | rev(X0,X4) != X2 | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6448,f823])).
% 5.10/1.09 tff(f7840,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,nil(X0)) != X3 | rev(X0,X3) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7833,f326])).
% 5.10/1.09 tff(f7833,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,rev(X0,nil(X0))) != X3 | rev(X0,X3) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6448,f631])).
% 5.10/1.09 tff(f7839,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X2) != X4 | rev(X0,X4) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7832,f328])).
% 5.10/1.09 tff(f7832,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,rev(X0,rev(X0,X2))) != X4 | rev(X0,X4) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6448,f823])).
% 5.10/1.09 tff(f7838,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,nil(X0)) != X4 | rev(X0,X4) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7831,f565])).
% 5.10/1.09 tff(f7831,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,butlast(X0,insert(X0,X2,nil(X0)))) != X4 | rev(X0,X4) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6448,f2662])).
% 5.10/1.09 tff(f7830,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X3,cons(X0,X1,X2)) != X4 | rev(X0,X4) != rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f6448,f5095])).
% 5.10/1.09 tff(f7828,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X2) != X4 | rev(X0,X1) != rev(X0,X4) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6448,f823])).
% 5.10/1.09 tff(f7825,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X2,insert(X0,X1,nil(X0))) != X3 | insert(X0,X1,nil(X0)) != rev(X0,X3)) )),
% 5.10/1.09 inference(superposition,[],[f6448,f1383])).
% 5.10/1.09 tff(f7824,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,nil(X0)) != X3 | rev(X0,X3) != X1 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f6448,f583])).
% 5.10/1.09 tff(f7823,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,rev(X0,X2)) != X4 | rev(X0,X4) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6448,f641])).
% 5.10/1.09 tff(f7822,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,rev(X0,X2)) != X4 | rev(X0,X4) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6448,f641])).
% 5.10/1.09 tff(f6448,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,rev(X0,X1)) != X2 | rev(X0,X2) != X1) )),
% 5.10/1.09 inference(superposition,[],[f5614,f328])).
% 5.10/1.09 tff(f7817,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1102,f7795])).
% 5.10/1.09 tff(f7816,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,takeWhile(X0,X1,X2),X2) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1101,f7795])).
% 5.10/1.09 tff(f7815,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1100,f7795])).
% 5.10/1.09 tff(f7814,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1099,f7795])).
% 5.10/1.09 tff(f7813,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,X2,cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1098,f7795])).
% 5.10/1.09 tff(f7812,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,X2,cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1097,f7795])).
% 5.10/1.09 tff(f7811,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,X2,X3),takeWhile(X0,X1,X2),X2) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1096,f7795])).
% 5.10/1.09 tff(f7810,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f7795])).
% 5.10/1.09 tff(f7809,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,X2,X3),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f7795])).
% 5.10/1.09 tff(f7808,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,append(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f7795])).
% 5.10/1.09 tff(f7804,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X2) = X2 | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f376,f7795])).
% 5.10/1.09 tff(f7803,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (rev(X0,nil(X0)) = X2 | nil(X0) != rotate1(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f7795,f631])).
% 5.10/1.09 tff(f7802,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != rotate1(X0,X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7795,f823])).
% 5.10/1.09 tff(f7801,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != rotate1(X0,X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f7795,f2662])).
% 5.10/1.09 tff(f7795,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) = X2 | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(trivial_inequality_removal,[],[f7793])).
% 5.10/1.09 tff(f7793,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != nil(X0) | dropWhile(X0,X1,X2) = X2 | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f2629,f6411])).
% 5.10/1.09 tff(f7790,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1102,f6411])).
% 5.10/1.09 tff(f7789,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1101,f6411])).
% 5.10/1.09 tff(f7788,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1100,f6411])).
% 5.10/1.09 tff(f7787,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1099,f6411])).
% 5.10/1.09 tff(f7799,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7786,f335])).
% 5.10/1.09 tff(f7786,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1098,f6411])).
% 5.10/1.09 tff(f7798,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7785,f335])).
% 5.10/1.09 tff(f7785,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1097,f6411])).
% 5.10/1.09 tff(f7784,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),nil(X0),X2) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1096,f6411])).
% 5.10/1.09 tff(f7797,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7783,f331])).
% 5.10/1.09 tff(f7783,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,nil(X0))) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1095,f6411])).
% 5.10/1.09 tff(f7782,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,nil(X0)) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1094,f6411])).
% 5.10/1.09 tff(f7796,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7781,f331])).
% 5.10/1.09 tff(f7781,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,nil(X0)),X3) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f1093,f6411])).
% 5.10/1.09 tff(f7777,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f376,f6411])).
% 5.10/1.09 tff(f7775,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != rotate1(X0,X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6411,f823])).
% 5.10/1.09 tff(f6411,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = takeWhile(X0,X1,X2) | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f4855,f376])).
% 5.10/1.09 tff(f7769,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | last(X0,rev(X0,X3)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5945,f823])).
% 5.10/1.09 tff(f5945,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | last(X0,rev(X0,X2)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5590,f335])).
% 5.10/1.09 tff(f7767,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | distinct(X0,rev(X0,X2)) | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7760,f328])).
% 5.10/1.09 tff(f7760,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | distinct(X0,rev(X0,X2)) | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5697,f823])).
% 5.10/1.09 tff(f7758,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,rev(X0,sK8(X0,X1))) | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5697,f351])).
% 5.10/1.09 tff(f7757,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,rev(X0,sK4(X0,X1))) | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5697,f347])).
% 5.10/1.09 tff(f7753,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | distinct(X0,rev(X0,append(X0,X2,X3))) | ~distinct(X0,X4)) )),
% 5.10/1.09 inference(superposition,[],[f5697,f430])).
% 5.10/1.09 tff(f5697,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | distinct(X0,rev(X0,X2)) | ~distinct(X0,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5688,f328])).
% 5.10/1.09 tff(f5688,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | distinct(X0,rev(X0,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5654,f823])).
% 5.10/1.09 tff(f7750,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,X1) | nil(X0) = X1 | rev(X0,sK8(X0,X1)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7738,f328])).
% 5.10/1.09 tff(f7738,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | nil(X0) = X1 | rev(X0,sK8(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5686,f823])).
% 5.10/1.09 tff(f7735,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5686,f641])).
% 5.10/1.09 tff(f7734,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5686,f641])).
% 5.10/1.09 tff(f7747,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7732,f328])).
% 5.10/1.09 tff(f7732,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,rev(X0,X2)))) | ~distinct(X0,X1) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5686,f823])).
% 5.10/1.09 tff(f7726,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X1) | nil(X0) = X1 | distinct(X0,X2) | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(resolution,[],[f5686,f824])).
% 5.10/1.09 tff(f5686,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rev(X0,sK8(X0,X1))) | ~distinct(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5654,f351])).
% 5.10/1.09 tff(f7717,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : X0] : (rev(X0,rev(X0,X3)) != append(X0,X4,insert(X0,X5,nil(X0))) | X2 = X5 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7492,f823])).
% 5.10/1.09 tff(f7715,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | sK6(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7492,f6509])).
% 5.10/1.09 tff(f7714,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(superposition,[],[f7492,f4619])).
% 5.10/1.09 tff(f7713,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,X2,insert(X0,X3,nil(X0))) | X1 = X3) )),
% 5.10/1.09 inference(superposition,[],[f7492,f332])).
% 5.10/1.09 tff(f7712,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,X3,insert(X0,X4,nil(X0))) != cons(X0,X1,insert(X0,X2,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(superposition,[],[f7492,f2164])).
% 5.10/1.09 tff(f7725,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | last(X0,X1) = X3) )),
% 5.10/1.09 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f215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% 5.10/1.09 tff(f7711,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | last(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7492,f6354])).
% 5.10/1.09 tff(f7724,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,rotate1(X0,cons(X0,X3,X2))) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X5) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7710,f2238])).
% 5.10/1.09 tff(f7710,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X5) )),
% 5.10/1.09 inference(superposition,[],[f7492,f429])).
% 5.10/1.09 tff(f7709,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f7492,f2570])).
% 5.10/1.09 tff(f7707,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(superposition,[],[f7492,f2238])).
% 5.10/1.09 tff(f7723,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (append(X0,X5,X2) != append(X0,X3,insert(X0,X4,nil(X0))) | X1 = X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7705,f328])).
% 5.10/1.09 tff(f7705,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (append(X0,X3,insert(X0,X4,nil(X0))) != append(X0,X5,rev(X0,rev(X0,X2))) | X1 = X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7492,f823])).
% 5.10/1.09 tff(f7702,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : X0] : (rev(X0,rev(X0,X3)) != append(X0,X4,insert(X0,X5,nil(X0))) | X2 = X5 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7492,f823])).
% 5.10/1.09 tff(f7700,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | sK6(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7492,f6509])).
% 5.10/1.09 tff(f7699,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(superposition,[],[f7492,f4619])).
% 5.10/1.09 tff(f7698,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,X2,insert(X0,X3,nil(X0))) | X1 = X3) )),
% 5.10/1.09 inference(superposition,[],[f7492,f332])).
% 5.10/1.09 tff(f7697,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,X3,insert(X0,X4,nil(X0))) != cons(X0,X1,insert(X0,X2,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(superposition,[],[f7492,f2164])).
% 5.10/1.09 tff(f7722,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | last(X0,X1) = X3) )),
% 5.10/1.09 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f215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% 5.10/1.09 tff(f7696,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) != X1 | last(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7492,f6354])).
% 5.10/1.09 tff(f7721,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,rotate1(X0,cons(X0,X3,X2))) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X5) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7695,f2238])).
% 5.10/1.09 tff(f7695,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != append(X0,X4,insert(X0,X5,nil(X0))) | X3 = X5) )),
% 5.10/1.09 inference(superposition,[],[f7492,f429])).
% 5.10/1.09 tff(f7694,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X2,nil(X0)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f7492,f2570])).
% 5.10/1.09 tff(f7692,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X4,nil(X0))) | X2 = X4) )),
% 5.10/1.09 inference(superposition,[],[f7492,f2238])).
% 5.10/1.09 tff(f7720,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : X0] : (append(X0,X3,X2) != append(X0,X4,insert(X0,X5,nil(X0))) | X1 = X5 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7690,f328])).
% 5.10/1.09 tff(f7690,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : X0] : (append(X0,X3,rev(X0,rev(X0,X2))) != append(X0,X4,insert(X0,X5,nil(X0))) | X1 = X5 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7492,f823])).
% 5.10/1.09 tff(f7492,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (append(X0,X2,insert(X0,X1,nil(X0))) != append(X0,X4,insert(X0,X3,nil(X0))) | X1 = X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7491,f335])).
% 5.10/1.09 tff(f7491,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X1,nil(X0))) != append(X0,X4,insert(X0,X3,nil(X0))) | X1 = X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f485,f335])).
% 5.10/1.09 tff(f7686,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,X1) | nil(X0) = X1 | rev(X0,sK4(X0,X1)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7675,f328])).
% 5.10/1.09 tff(f7675,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | nil(X0) = X1 | rev(X0,sK4(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5685,f823])).
% 5.10/1.09 tff(f7672,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5685,f641])).
% 5.10/1.09 tff(f7671,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5685,f641])).
% 5.10/1.09 tff(f7683,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7669,f328])).
% 5.10/1.09 tff(f7669,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,rev(X0,X2)))) | ~distinct(X0,X1) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5685,f823])).
% 5.10/1.09 tff(f7664,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X1) | nil(X0) = X1 | distinct(X0,X2) | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(resolution,[],[f5685,f824])).
% 5.10/1.09 tff(f5685,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rev(X0,sK4(X0,X1))) | ~distinct(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5654,f347])).
% 5.10/1.09 tff(f7663,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,butlast(X0,cons(X0,X1,X2)),insert(X0,sK6(X0,X2),nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7655,f370])).
% 5.10/1.09 tff(f7655,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,butlast(X0,cons(X0,X1,X2)),insert(X0,sK6(X0,X2),nil(X0))) | nil(X0) = cons(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f7273])).
% 5.10/1.09 tff(f7662,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7642,f326])).
% 5.10/1.09 tff(f7642,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7273,f631])).
% 5.10/1.09 tff(f7641,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = sK6(list(X0),X2) | nil(list(X0)) = X2 | last(list(X0),cons(list(X0),X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7273,f823])).
% 5.10/1.09 tff(f7661,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7640,f565])).
% 5.10/1.09 tff(f7640,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7273,f2662])).
% 5.10/1.09 tff(f7660,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,X3) = sK6(X0,X2) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7638,f328])).
% 5.10/1.09 tff(f7638,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X3))) = sK6(X0,X2) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7273,f823])).
% 5.10/1.09 tff(f7636,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,sK8(X0,X1)) | nil(X0) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7273,f351])).
% 5.10/1.09 tff(f7635,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,sK4(X0,X1)) | nil(X0) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7273,f347])).
% 5.10/1.09 tff(f7659,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK6(X0,X2) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7634,f4507])).
% 5.10/1.09 tff(f7634,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK6(X0,sK8(X0,cons(X0,X1,X2))) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7273,f2997])).
% 5.10/1.09 tff(f7658,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK6(X0,X2) | nil(X0) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7633,f4506])).
% 5.10/1.09 tff(f7633,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK6(X0,sK4(X0,cons(X0,X1,X2))) | nil(X0) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7273,f2525])).
% 5.10/1.09 tff(f7631,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,append(X0,cons(X0,X1,X2),X3)) = sK6(X0,append(X0,X2,X3)) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f7273,f430])).
% 5.10/1.09 tff(f7273,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK6(X0,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f7166,f2164])).
% 5.10/1.09 tff(f7627,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK6(X0,X4) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7380,f823])).
% 5.10/1.09 tff(f7624,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | sK6(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7380,f641])).
% 5.10/1.09 tff(f7623,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | sK6(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7380,f641])).
% 5.10/1.09 tff(f7630,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | sK6(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7621,f328])).
% 5.10/1.09 tff(f7621,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,rev(X0,X3))) != X4 | sK6(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7380,f823])).
% 5.10/1.09 tff(f7619,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | sK7(X0,X1) = sK6(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7380,f351])).
% 5.10/1.09 tff(f7618,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | sK3(X0,X1) = sK6(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7380,f347])).
% 5.10/1.09 tff(f7614,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | sK6(X0,X4) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7380,f430])).
% 5.10/1.09 tff(f7380,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) != X3 | sK6(X0,X3) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7370,f328])).
% 5.10/1.09 tff(f7370,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,rev(X0,X3))) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7313,f823])).
% 5.10/1.09 tff(f7611,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK6(X0,rev(X0,X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7366,f823])).
% 5.10/1.09 tff(f7609,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = sK6(X0,rev(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7366,f351])).
% 5.10/1.09 tff(f7608,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = sK6(X0,rev(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7366,f347])).
% 5.10/1.09 tff(f7604,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK6(X0,rev(X0,X4)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7366,f430])).
% 5.10/1.09 tff(f7366,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK6(X0,rev(X0,X3)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7313,f641])).
% 5.10/1.09 tff(f7603,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,sK5(X0,rev(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7594,f583])).
% 5.10/1.09 tff(f7594,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,sK5(X0,rev(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7362])).
% 5.10/1.09 tff(f7602,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7585,f326])).
% 5.10/1.09 tff(f7585,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7362,f631])).
% 5.10/1.09 tff(f7584,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | sK6(list(X0),rev(list(X0),X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7362,f823])).
% 5.10/1.09 tff(f7601,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7583,f565])).
% 5.10/1.09 tff(f7583,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7362,f2662])).
% 5.10/1.09 tff(f7600,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7581,f328])).
% 5.10/1.09 tff(f7581,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7362,f823])).
% 5.10/1.09 tff(f7599,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) = sK6(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7579,f4313])).
% 5.10/1.09 tff(f7579,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) = sK6(X0,cons(X0,X1,X2)) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7362,f5095])).
% 5.10/1.09 tff(f7578,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK6(X0,X1) = sK7(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7362,f328])).
% 5.10/1.09 tff(f7577,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,rev(X0,X1)) = sK6(X0,X2) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7362,f823])).
% 5.10/1.09 tff(f7572,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7362,f641])).
% 5.10/1.09 tff(f7571,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7362,f641])).
% 5.10/1.09 tff(f7362,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7313,f351])).
% 5.10/1.09 tff(f7570,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,sK5(X0,rev(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7563,f583])).
% 5.10/1.09 tff(f7563,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,sK5(X0,rev(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7361])).
% 5.10/1.09 tff(f7569,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7556,f326])).
% 5.10/1.09 tff(f7556,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7361,f631])).
% 5.10/1.09 tff(f7555,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | sK6(list(X0),rev(list(X0),X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7361,f823])).
% 5.10/1.09 tff(f7568,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7554,f565])).
% 5.10/1.09 tff(f7554,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7361,f2662])).
% 5.10/1.09 tff(f7567,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7552,f328])).
% 5.10/1.09 tff(f7552,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7361,f823])).
% 5.10/1.09 tff(f7566,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) = sK6(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7550,f4313])).
% 5.10/1.09 tff(f7550,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) = sK6(X0,cons(X0,X1,X2)) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7361,f5095])).
% 5.10/1.09 tff(f7549,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK6(X0,X1) = sK3(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7361,f328])).
% 5.10/1.09 tff(f7548,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,rev(X0,X1)) = sK6(X0,X2) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7361,f823])).
% 5.10/1.09 tff(f7543,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7361,f641])).
% 5.10/1.09 tff(f7542,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7361,f641])).
% 5.10/1.09 tff(f7361,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7313,f347])).
% 5.10/1.09 tff(f7538,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK6(X0,X4) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7354,f823])).
% 5.10/1.09 tff(f7541,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,X3) != X4 | sK6(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7535,f328])).
% 5.10/1.09 tff(f7535,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,rev(X0,rev(X0,X3))) != X4 | sK6(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7354,f823])).
% 5.10/1.09 tff(f7533,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | sK7(X0,X1) = sK6(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7354,f351])).
% 5.10/1.09 tff(f7532,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | sK3(X0,X1) = sK6(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7354,f347])).
% 5.10/1.09 tff(f7528,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | sK6(X0,X4) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7354,f430])).
% 5.10/1.09 tff(f7354,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | sK6(X0,X3) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7344,f328])).
% 5.10/1.09 tff(f7344,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,rev(X0,X3))) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7310,f823])).
% 5.10/1.09 tff(f7525,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK6(X0,rotate1(X0,X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7353,f823])).
% 5.10/1.09 tff(f7523,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = sK6(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7353,f351])).
% 5.10/1.09 tff(f7522,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = sK6(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7353,f347])).
% 5.10/1.09 tff(f7518,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK6(X0,rotate1(X0,X4)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7353,f430])).
% 5.10/1.09 tff(f7353,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK6(X0,rotate1(X0,X3)) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7341,f328])).
% 5.10/1.09 tff(f7341,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rotate1(X0,rev(X0,rev(X0,X3)))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7310,f823])).
% 5.10/1.09 tff(f7517,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK5(X0,rotate1(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7509,f361])).
% 5.10/1.09 tff(f7509,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK5(X0,rotate1(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7339])).
% 5.10/1.09 tff(f7516,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7500,f326])).
% 5.10/1.09 tff(f7500,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7339,f631])).
% 5.10/1.09 tff(f7499,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | sK6(list(X0),rotate1(list(X0),X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7339,f823])).
% 5.10/1.09 tff(f7515,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7498,f565])).
% 5.10/1.09 tff(f7498,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7339,f2662])).
% 5.10/1.09 tff(f7514,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,X2) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7496,f328])).
% 5.10/1.09 tff(f7496,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7339,f823])).
% 5.10/1.09 tff(f7339,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7310,f351])).
% 5.10/1.09 tff(f7490,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK5(X0,rotate1(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7484,f361])).
% 5.10/1.09 tff(f7484,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK5(X0,rotate1(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7338])).
% 5.10/1.09 tff(f7489,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7477,f326])).
% 5.10/1.09 tff(f7477,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7338,f631])).
% 5.10/1.09 tff(f7476,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | sK6(list(X0),rotate1(list(X0),X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7338,f823])).
% 5.10/1.09 tff(f7488,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7475,f565])).
% 5.10/1.09 tff(f7475,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f7338,f2662])).
% 5.10/1.09 tff(f7487,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,X2) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7473,f328])).
% 5.10/1.09 tff(f7473,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7338,f823])).
% 5.10/1.09 tff(f7338,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7310,f347])).
% 5.10/1.09 tff(f7469,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,sK5(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7462,f5314])).
% 5.10/1.09 tff(f7462,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,sK5(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0))) | nil(X0) = rev(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7357])).
% 5.10/1.09 tff(f7468,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7459,f326])).
% 5.10/1.09 tff(f7459,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7357,f631])).
% 5.10/1.09 tff(f7458,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | sK6(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7357,f823])).
% 5.10/1.09 tff(f7457,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7357,f2662])).
% 5.10/1.09 tff(f7467,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,X4) = X1 | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7455,f328])).
% 5.10/1.09 tff(f7455,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,X4))) = X1 | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7357,f823])).
% 5.10/1.09 tff(f7452,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7357,f641])).
% 5.10/1.09 tff(f7451,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7357,f641])).
% 5.10/1.09 tff(f7466,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7449,f328])).
% 5.10/1.09 tff(f7449,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,rev(X0,X4)))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7357,f823])).
% 5.10/1.09 tff(f7465,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,append(X0,X3,X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7442,f328])).
% 5.10/1.09 tff(f7442,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,append(X0,rev(X0,rev(X0,X3)),X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7357,f823])).
% 5.10/1.09 tff(f7440,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rev(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7357,f351])).
% 5.10/1.09 tff(f7439,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rev(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7357,f347])).
% 5.10/1.09 tff(f7357,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7313,f430])).
% 5.10/1.09 tff(f7434,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,sK5(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7427,f4452])).
% 5.10/1.09 tff(f7427,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,sK5(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0))) | nil(X0) = rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7334])).
% 5.10/1.09 tff(f7433,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7424,f326])).
% 5.10/1.09 tff(f7424,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7334,f631])).
% 5.10/1.09 tff(f7423,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | sK6(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7334,f823])).
% 5.10/1.09 tff(f7422,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7334,f2662])).
% 5.10/1.09 tff(f7432,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,X4) = X1 | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7420,f328])).
% 5.10/1.09 tff(f7420,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rev(X0,rev(X0,X4))) = X1 | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7334,f823])).
% 5.10/1.09 tff(f7431,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7417,f328])).
% 5.10/1.09 tff(f7417,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7334,f823])).
% 5.10/1.09 tff(f7430,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,append(X0,X3,X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7410,f328])).
% 5.10/1.09 tff(f7410,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK6(X0,rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7334,f823])).
% 5.10/1.09 tff(f7408,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK6(X0,rotate1(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7334,f351])).
% 5.10/1.09 tff(f7407,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK6(X0,rotate1(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7334,f347])).
% 5.10/1.09 tff(f7334,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7310,f430])).
% 5.10/1.09 tff(f7400,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK6(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7331,f823])).
% 5.10/1.09 tff(f7331,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK6(X0,X2) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7323,f328])).
% 5.10/1.09 tff(f7323,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK6(X0,rev(X0,rev(X0,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7301,f823])).
% 5.10/1.09 tff(f7398,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = append(X0,sK5(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7394,f370])).
% 5.10/1.09 tff(f7394,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = append(X0,sK5(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),insert(X0,X2,nil(X0))) | nil(X0) = cons(X0,X1,insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7312])).
% 5.10/1.09 tff(f7397,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7391,f326])).
% 5.10/1.09 tff(f7391,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.09 inference(superposition,[],[f7312,f631])).
% 5.10/1.09 tff(f7390,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | sK6(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7312,f823])).
% 5.10/1.09 tff(f7389,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != sK6(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.09 inference(superposition,[],[f7312,f2662])).
% 5.10/1.09 tff(f7396,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK6(X0,X3) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7387,f328])).
% 5.10/1.09 tff(f7387,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,rev(X0,X3))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7312,f823])).
% 5.10/1.09 tff(f7395,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK6(X0,cons(X0,X3,X2)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7384,f328])).
% 5.10/1.09 tff(f7384,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK6(X0,cons(X0,X3,rev(X0,rev(X0,X2)))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7312,f823])).
% 5.10/1.09 tff(f7312,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sK6(X0,cons(X0,X2,insert(X0,X3,nil(X0)))) = X3) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7288,f370])).
% 5.10/1.09 tff(f7288,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sK6(X0,cons(X0,X2,insert(X0,X3,nil(X0)))) = X3 | nil(X0) = cons(X0,X2,insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f2374])).
% 5.10/1.09 tff(f7382,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) = append(X0,sK5(X0,rev(X0,cons(X0,X1,X2))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7377,f5313])).
% 5.10/1.09 tff(f7377,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) = append(X0,sK5(X0,rev(X0,cons(X0,X1,X2))),insert(X0,X1,nil(X0))) | nil(X0) = rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7313])).
% 5.10/1.09 tff(f7381,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7374,f326])).
% 5.10/1.09 tff(f7374,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7313,f631])).
% 5.10/1.09 tff(f7373,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | sK6(list(X0),rev(list(X0),cons(list(X0),X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7313,f823])).
% 5.10/1.09 tff(f7372,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != sK6(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7313,f2662])).
% 5.10/1.09 tff(f7367,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,X3)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7313,f641])).
% 5.10/1.09 tff(f7379,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,X3)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7364,f328])).
% 5.10/1.09 tff(f7364,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK6(X0,rev(X0,rev(X0,rev(X0,X3)))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7313,f823])).
% 5.10/1.09 tff(f7313,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rev(X0,cons(X0,X2,X3))) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7289,f5313])).
% 5.10/1.09 tff(f7289,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rev(X0,cons(X0,X2,X3))) = X2 | nil(X0) = rev(X0,cons(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f5506])).
% 5.10/1.09 tff(f7356,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) = append(X0,sK5(X0,rotate1(X0,cons(X0,X1,X2))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7351,f4313])).
% 5.10/1.09 tff(f7351,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) = append(X0,sK5(X0,rotate1(X0,cons(X0,X1,X2))),insert(X0,X1,nil(X0))) | nil(X0) = rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7310])).
% 5.10/1.09 tff(f7355,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7348,f326])).
% 5.10/1.09 tff(f7348,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7310,f631])).
% 5.10/1.09 tff(f7347,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | sK6(list(X0),rotate1(list(X0),cons(list(X0),X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7310,f823])).
% 5.10/1.09 tff(f7346,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != sK6(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f7310,f2662])).
% 5.10/1.09 tff(f7310,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0] : (sK6(X0,rotate1(X0,cons(X0,X3,X2))) = X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7309,f2238])).
% 5.10/1.09 tff(f7309,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0] : (sK6(X0,append(X0,X2,insert(X0,X3,nil(X0)))) = X3) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7286,f595])).
% 5.10/1.09 tff(f7286,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0] : (sK6(X0,append(X0,X2,insert(X0,X3,nil(X0)))) = X3 | nil(X0) = append(X0,X2,insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f2081])).
% 5.10/1.09 tff(f7333,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = append(X0,sK5(X0,insert(X0,X1,nil(X0))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7330,f569])).
% 5.10/1.09 tff(f7330,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = append(X0,sK5(X0,insert(X0,X1,nil(X0))),insert(X0,X1,nil(X0))) | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7301])).
% 5.10/1.09 tff(f7332,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK6(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7327,f326])).
% 5.10/1.09 tff(f7327,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK6(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f7301,f631])).
% 5.10/1.09 tff(f7326,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | sK6(list(X0),insert(list(X0),X1,nil(list(X0)))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7301,f823])).
% 5.10/1.09 tff(f7325,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != sK6(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f7301,f2662])).
% 5.10/1.09 tff(f7301,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0] : (sK6(X0,insert(X0,X2,nil(X0))) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7300,f4312])).
% 5.10/1.09 tff(f7300,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rotate1(X0,cons(X0,X2,X1))) = sK6(X0,insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7270,f569])).
% 5.10/1.09 tff(f7270,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rotate1(X0,cons(X0,X2,X1))) = sK6(X0,insert(X0,X2,nil(X0))) | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f2238])).
% 5.10/1.09 tff(f7321,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,butlast(X0,append(X0,X1,X2)),insert(X0,sK6(X0,X2),nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7297,f416])).
% 5.10/1.09 tff(f7297,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,butlast(X0,append(X0,X1,X2)),insert(X0,sK6(X0,X2),nil(X0))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f7166])).
% 5.10/1.09 tff(f7320,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rotate1(X0,cons(X0,X2,X3))) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7296,f4313])).
% 5.10/1.09 tff(f7296,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rotate1(X0,cons(X0,X2,X3))) = X2 | nil(X0) = rotate1(X0,cons(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f4317,f7166])).
% 5.10/1.09 tff(f7319,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rev(X0,cons(X0,X2,X3))) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7295,f5313])).
% 5.10/1.09 tff(f7295,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rev(X0,cons(X0,X2,X3))) = X2 | nil(X0) = rev(X0,cons(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f5506,f7166])).
% 5.10/1.09 tff(f7318,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sK6(X0,cons(X0,X2,insert(X0,X3,nil(X0)))) = X3) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7294,f370])).
% 5.10/1.09 tff(f7294,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0] : (sK6(X0,cons(X0,X2,insert(X0,X3,nil(X0)))) = X3 | nil(X0) = cons(X0,X2,insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f2374,f7166])).
% 5.10/1.09 tff(f7317,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0] : (sK6(X0,insert(X0,X2,nil(X0))) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7293,f569])).
% 5.10/1.09 tff(f7293,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0] : (sK6(X0,insert(X0,X2,nil(X0))) = X2 | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f584,f7166])).
% 5.10/1.09 tff(f7316,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0] : (sK6(X0,rotate1(X0,cons(X0,X3,X2))) = X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7315,f2238])).
% 5.10/1.09 tff(f7315,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0] : (sK6(X0,append(X0,X2,insert(X0,X3,nil(X0)))) = X3) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7292,f595])).
% 5.10/1.09 tff(f7292,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0] : (sK6(X0,append(X0,X2,insert(X0,X3,nil(X0)))) = X3 | nil(X0) = append(X0,X2,insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f2081,f7166])).
% 5.10/1.09 tff(f7314,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rotate1(X0,cons(X0,X2,X3))) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7290,f4313])).
% 5.10/1.09 tff(f7290,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (sK6(X0,rotate1(X0,cons(X0,X2,X3))) = X2 | nil(X0) = rotate1(X0,cons(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f4317])).
% 5.10/1.09 tff(f7311,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0] : (sK6(X0,insert(X0,X2,nil(X0))) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7287,f569])).
% 5.10/1.09 tff(f7287,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0] : (sK6(X0,insert(X0,X2,nil(X0))) = X2 | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f584])).
% 5.10/1.09 tff(f7308,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7284,f326])).
% 5.10/1.09 tff(f7284,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f631])).
% 5.10/1.09 tff(f7283,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK6(list(X0),X2) | nil(list(X0)) = X2 | last(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7166,f823])).
% 5.10/1.09 tff(f7307,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7282,f565])).
% 5.10/1.09 tff(f7282,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X3,nil(X0))) = sK6(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f2662])).
% 5.10/1.09 tff(f7306,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (last(X0,X3) = sK6(X0,X2) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7280,f328])).
% 5.10/1.09 tff(f7280,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,rev(X0,X3))) = sK6(X0,X2) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7166,f823])).
% 5.10/1.09 tff(f7305,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,insert(X0,sK6(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7278,f569])).
% 5.10/1.09 tff(f7278,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,insert(X0,sK6(X0,X1),nil(X0))) | nil(X0) = insert(X0,sK6(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7166,f6509])).
% 5.10/1.09 tff(f7277,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (last(X0,X2) = sK6(X0,dropWhile(X0,X1,X2)) | nil(X0) = dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f7166,f376])).
% 5.10/1.09 tff(f7304,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0] : (sK6(X0,insert(X0,X2,nil(X0))) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7303,f5501])).
% 5.10/1.09 tff(f7303,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rev(X0,cons(X0,X2,X1))) = sK6(X0,insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7276,f569])).
% 5.10/1.09 tff(f7276,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rev(X0,cons(X0,X2,X1))) = sK6(X0,insert(X0,X2,nil(X0))) | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f7166,f4619])).
% 5.10/1.09 tff(f7275,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,append(X0,X2,X1))) = sK6(X0,rev(X0,X2)) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f7166,f378])).
% 5.10/1.09 tff(f7302,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,insert(X0,last(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7272,f569])).
% 5.10/1.09 tff(f7272,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,insert(X0,last(X0,X1),nil(X0))) | nil(X0) = insert(X0,last(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7166,f6354])).
% 5.10/1.09 tff(f7271,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X1,append(X0,X2,X3))) = sK6(X0,X3) | nil(X0) = X3) )),
% 5.10/1.09 inference(superposition,[],[f7166,f429])).
% 5.10/1.09 tff(f7166,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK6(X0,X1) = last(X0,append(X0,X2,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2081,f6509])).
% 5.10/1.09 tff(f7264,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,X1) | nil(X0) = X1 | sK5(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7260,f328])).
% 5.10/1.09 tff(f7260,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | nil(X0) = X1 | sK5(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7164,f823])).
% 5.10/1.09 tff(f7164,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK5(X0,X1)) | ~distinct(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f1167,f6509])).
% 5.10/1.09 tff(f7254,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(duplicate_literal_removal,[],[f7253])).
% 5.10/1.09 tff(f7253,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7163])).
% 5.10/1.09 tff(f7257,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = butlast(X0,X1) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7251,f326])).
% 5.10/1.09 tff(f7251,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = butlast(X0,X1) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7163,f631])).
% 5.10/1.09 tff(f7250,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (butlast(X0,X1) = rev(X0,rev(X0,X2)) | nil(X0) = X1 | sK5(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7163,f823])).
% 5.10/1.09 tff(f7256,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = butlast(X0,X1) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7249,f565])).
% 5.10/1.09 tff(f7249,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,X1) = butlast(X0,insert(X0,X2,nil(X0))) | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7163,f2662])).
% 5.10/1.09 tff(f7163,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f1049,f6509])).
% 5.10/1.09 tff(f7246,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,sK5(X0,X1),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(duplicate_literal_removal,[],[f7245])).
% 5.10/1.09 tff(f7245,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,sK5(X0,X1),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f7161])).
% 5.10/1.09 tff(f7248,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7244,f326])).
% 5.10/1.09 tff(f7244,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f7161,f631])).
% 5.10/1.09 tff(f7243,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = last(list(X0),X1) | nil(list(X0)) = X1 | sK6(list(X0),X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7161,f823])).
% 5.10/1.09 tff(f7247,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7242,f565])).
% 5.10/1.09 tff(f7242,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f7161,f2662])).
% 5.10/1.09 tff(f7161,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK6(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f584,f6509])).
% 5.10/1.09 tff(f7241,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7232,f631])).
% 5.10/1.09 tff(f7240,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X1 | nil(X0) = X1 | sK5(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7232,f823])).
% 5.10/1.09 tff(f7239,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7232,f2662])).
% 5.10/1.09 tff(f7232,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK5(X0,X1) != X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7172,f569])).
% 5.10/1.09 tff(f7172,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK5(X0,X1) != X1 | nil(X0) = insert(X0,sK6(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f407,f6509])).
% 5.10/1.09 tff(f7219,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3014,f6509])).
% 5.10/1.09 tff(f7218,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3013,f6509])).
% 5.10/1.09 tff(f7215,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),X1,X2,X2) | nil(X0) != sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2716,f6509])).
% 5.10/1.09 tff(f7214,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X1) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2715,f6509])).
% 5.10/1.09 tff(f7213,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,insert(X0,sK6(X0,X1),nil(X0)),X2,X2) | nil(X0) != sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2714,f6509])).
% 5.10/1.09 tff(f7212,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),X2,X1,sK5(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2713,f6509])).
% 5.10/1.09 tff(f7210,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),X1,X2,sK5(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2648,f6509])).
% 5.10/1.09 tff(f7208,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X2) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2646,f6509])).
% 5.10/1.09 tff(f7206,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2587,f6509])).
% 5.10/1.09 tff(f7205,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2586,f6509])).
% 5.10/1.09 tff(f7203,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,sK6(X0,X1),nil(X0)) = X1 | nil(X0) != sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2570,f6509])).
% 5.10/1.09 tff(f7199,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = sK7(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2213,f6509])).
% 5.10/1.09 tff(f7198,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = sK3(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2212,f6509])).
% 5.10/1.09 tff(f7195,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),X1,nil(X0),sK5(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f607,f6509])).
% 5.10/1.09 tff(f7194,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,nil(X0),insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f604,f6509])).
% 5.10/1.09 tff(f7193,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,X1,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f599,f6509])).
% 5.10/1.09 tff(f7192,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),nil(X0),X1,sK5(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f596,f6509])).
% 5.10/1.09 tff(f7191,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,X1,insert(X0,sK6(X0,X1),nil(X0)),cons(X0,X2,sK5(X0,X1)),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f538,f6509])).
% 5.10/1.09 tff(f7190,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,X1,insert(X0,sK6(X0,X1),nil(X0)),cons(X0,X2,sK5(X0,X1)),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f534,f6509])).
% 5.10/1.09 tff(f7238,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,cons(X0,sK6(X0,X1),X2),sK5(X0,X1),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7189,f2164])).
% 5.10/1.09 tff(f7189,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,append(X0,insert(X0,sK6(X0,X1),nil(X0)),X2),sK5(X0,X1),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f532,f6509])).
% 5.10/1.09 tff(f7188,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),X1,X2,append(X0,X2,sK5(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f532,f6509])).
% 5.10/1.09 tff(f7237,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,cons(X0,sK6(X0,X1),X2),X2,X1,sK5(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7187,f2164])).
% 5.10/1.09 tff(f7187,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,insert(X0,sK6(X0,X1),nil(X0)),X2),X2,X1,sK5(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f530,f6509])).
% 5.10/1.09 tff(f7186,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,insert(X0,sK6(X0,X1),nil(X0)),append(X0,X2,sK5(X0,X1)),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f530,f6509])).
% 5.10/1.09 tff(f7236,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP2(X0,X3,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7185,f3138])).
% 5.10/1.09 tff(f7185,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP2(X0,X3,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f479,f6509])).
% 5.10/1.09 tff(f7235,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP1(X0,X3,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7184,f3138])).
% 5.10/1.09 tff(f7184,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP1(X0,X3,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f471,f6509])).
% 5.10/1.09 tff(f7183,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP0(X0,insert(X0,sK6(X0,X1),nil(X0)),X3,X2,sK5(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f463,f6509])).
% 5.10/1.09 tff(f7182,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP0(X0,X3,insert(X0,sK6(X0,X1),nil(X0)),sK5(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f463,f6509])).
% 5.10/1.09 tff(f7181,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK5(X0,X1),X2) != X1 | insert(X0,sK6(X0,X1),nil(X0)) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f445,f6509])).
% 5.10/1.09 tff(f7180,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK5(X0,X1),X2) != X1 | insert(X0,sK6(X0,X1),nil(X0)) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f445,f6509])).
% 5.10/1.09 tff(f7179,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,insert(X0,sK6(X0,X1),nil(X0))) != X1 | sK5(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f443,f6509])).
% 5.10/1.09 tff(f7178,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,insert(X0,sK6(X0,X1),nil(X0))) != X1 | sK5(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f443,f6509])).
% 5.10/1.09 tff(f7177,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = append(X0,cons(X0,X2,sK5(X0,X1)),insert(X0,sK6(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f430,f6509])).
% 5.10/1.09 tff(f7234,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,sK5(X0,X1),cons(X0,sK6(X0,X1),X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7176,f2164])).
% 5.10/1.09 tff(f7176,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,sK5(X0,X1),append(X0,insert(X0,sK6(X0,X1),nil(X0)),X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f429,f6509])).
% 5.10/1.09 tff(f7233,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,sK6(X0,X1),nil(X0)) != X1 | nil(X0) = sK5(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7173,f1905])).
% 5.10/1.09 tff(f7173,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,sK6(X0,X1),nil(X0)) != X1 | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f409,f6509])).
% 5.10/1.09 tff(f7231,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = append(X0,sK5(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7230,f565])).
% 5.10/1.09 tff(f7230,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = append(X0,sK5(X0,X1),butlast(X0,insert(X0,sK6(X0,X1),nil(X0)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7171,f569])).
% 5.10/1.09 tff(f7171,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = append(X0,sK5(X0,X1),butlast(X0,insert(X0,sK6(X0,X1),nil(X0)))) | nil(X0) = insert(X0,sK6(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f389,f6509])).
% 5.10/1.09 tff(f7170,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = hd(X0,sK5(X0,X1)) | nil(X0) = sK5(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f387,f6509])).
% 5.10/1.09 tff(f7229,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = last(X0,insert(X0,sK6(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7169,f569])).
% 5.10/1.09 tff(f7169,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = last(X0,insert(X0,sK6(X0,X1),nil(X0))) | nil(X0) = insert(X0,sK6(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f385,f6509])).
% 5.10/1.09 tff(f7168,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK5(X0,X1) != X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7039,f6509])).
% 5.10/1.09 tff(f7167,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,cons(X0,sK6(X0,X1),sK5(X0,X1))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2238,f6509])).
% 5.10/1.09 tff(f7159,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | nil(X0) = X1 | append(X0,sK5(X0,X1),insert(X0,sK6(X0,X1),nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6509,f823])).
% 5.10/1.09 tff(f7157,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,sK6(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6509,f2570])).
% 5.10/1.09 tff(f7155,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,cons(X0,sK6(X0,X1),sK5(X0,X1))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6509,f2238])).
% 5.10/1.09 tff(f7228,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK5(X0,X1),X2) = X1 | nil(X0) = X1 | insert(X0,sK6(X0,X1),nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7153,f328])).
% 5.10/1.09 tff(f7153,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK5(X0,X1),rev(X0,rev(X0,X2))) = X1 | nil(X0) = X1 | insert(X0,sK6(X0,X1),nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6509,f823])).
% 5.10/1.09 tff(f7227,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7151,f326])).
% 5.10/1.09 tff(f7151,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),rev(X0,nil(X0)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f6509,f631])).
% 5.10/1.09 tff(f7226,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),X2,nil(list(X0)))) = X1 | nil(list(X0)) = X1 | sK6(list(X0),X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7150,f328])).
% 5.10/1.09 tff(f7150,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),rev(X0,rev(X0,X2)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | sK6(list(X0),X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6509,f823])).
% 5.10/1.09 tff(f7225,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7149,f565])).
% 5.10/1.09 tff(f7149,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (append(list(X0),sK5(list(X0),X1),insert(list(X0),butlast(X0,insert(X0,X2,nil(X0))),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != sK6(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f6509,f2662])).
% 5.10/1.09 tff(f7224,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7148,f326])).
% 5.10/1.09 tff(f7148,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,rev(X0,nil(X0)),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6509,f631])).
% 5.10/1.09 tff(f7223,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | sK5(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7147,f328])).
% 5.10/1.09 tff(f7147,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,rev(X0,X2)),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | sK5(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6509,f823])).
% 5.10/1.09 tff(f7222,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7146,f565])).
% 5.10/1.09 tff(f7146,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (append(X0,butlast(X0,insert(X0,X2,nil(X0))),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK5(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6509,f2662])).
% 5.10/1.09 tff(f6509,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,sK5(X0,X1),insert(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f348,f335])).
% 5.10/1.09 tff(f7135,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) != append(X0,X1,X3) | append(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f7058,f823])).
% 5.10/1.09 tff(f7143,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) != append(X0,X1,append(X0,X2,rotate1(X0,cons(X0,X3,X4))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7131,f429])).
% 5.10/1.09 tff(f7131,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,append(X0,X1,X2),X4) != append(X0,X1,append(X0,X2,rotate1(X0,cons(X0,X3,X4))))) )),
% 5.10/1.09 inference(superposition,[],[f7058,f429])).
% 5.10/1.09 tff(f7130,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != rotate1(X0,cons(X0,X2,X3)) | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f7058,f2570])).
% 5.10/1.09 tff(f7142,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X4,X3) != append(X0,X4,X2) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7127,f328])).
% 5.10/1.09 tff(f7127,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X4,X2) != append(X0,X4,rev(X0,rev(X0,X3))) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7058,f823])).
% 5.10/1.09 tff(f7141,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X4,X2) != append(X0,X4,rotate1(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7124,f328])).
% 5.10/1.09 tff(f7124,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X4,X2) != append(X0,X4,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7058,f823])).
% 5.10/1.09 tff(f7122,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,rotate1(X0,X1)) != append(X0,X2,sK8(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7058,f351])).
% 5.10/1.09 tff(f7121,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,rotate1(X0,X1)) != append(X0,X2,sK4(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f7058,f347])).
% 5.10/1.09 tff(f7117,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X4,append(X0,X2,X3)) != append(X0,X4,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f7058,f430])).
% 5.10/1.09 tff(f7058,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,X2) != append(X0,X1,rotate1(X0,cons(X0,X3,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7048,f2238])).
% 5.10/1.09 tff(f7048,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,X2) != append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f7039,f429])).
% 5.10/1.09 tff(f7114,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,rev(X0,X3)) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7050,f823])).
% 5.10/1.09 tff(f7116,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X3,X2) != insert(X0,X3,nil(X0)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7111,f328])).
% 5.10/1.09 tff(f7111,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X3,nil(X0)) != cons(X0,X3,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7050,f823])).
% 5.10/1.09 tff(f7050,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X1,insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f7039,f2164])).
% 5.10/1.09 tff(f7107,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | nil(X0) = X3 | ~null(X0,X1) | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7101,f328])).
% 5.10/1.09 tff(f7101,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) = X3 | ~null(X0,X1) | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7066,f823])).
% 5.10/1.09 tff(f7104,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | ~null(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7099,f3138])).
% 5.10/1.09 tff(f7099,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | nil(X0) = X3 | ~null(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.09 inference(superposition,[],[f7066,f5095])).
% 5.10/1.09 tff(f7097,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | nil(X0) = X3 | ~null(X0,rev(X0,X1)) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7066,f823])).
% 5.10/1.09 tff(f7092,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | nil(X0) = X3 | ~null(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7066,f641])).
% 5.10/1.09 tff(f7091,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | nil(X0) = X3 | ~null(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7066,f641])).
% 5.10/1.09 tff(f7066,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | nil(X0) = X2 | ~null(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7010,f328])).
% 5.10/1.09 tff(f7090,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | nil(X0) = X1 | ~null(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7087,f328])).
% 5.10/1.09 tff(f7087,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) = X1 | ~null(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7022,f823])).
% 5.10/1.09 tff(f7083,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | nil(X0) = rev(X0,X1) | ~null(X0,X3) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7022,f823])).
% 5.10/1.09 tff(f7078,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | nil(X0) = X1 | ~null(X0,X3) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7022,f641])).
% 5.10/1.09 tff(f7077,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | nil(X0) = X1 | ~null(X0,X3) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7022,f641])).
% 5.10/1.09 tff(f7022,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | nil(X0) = X1 | ~null(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7020,f328])).
% 5.10/1.09 tff(f7020,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7009,f823])).
% 5.10/1.09 tff(f7016,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | nil(X0) = rev(X0,X1) | ~null(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f7009,f823])).
% 5.10/1.09 tff(f7075,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7074,f323])).
% 5.10/1.09 tff(f7074,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X2 | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7070,f326])).
% 5.10/1.09 tff(f7070,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | nil(X0) = X2 | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7010,f631])).
% 5.10/1.09 tff(f7073,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,X2) | nil(X0) = X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7069,f328])).
% 5.10/1.09 tff(f7069,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X2))) | nil(X0) = X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7010,f823])).
% 5.10/1.09 tff(f7072,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7071,f323])).
% 5.10/1.09 tff(f7071,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f7068,f565])).
% 5.10/1.09 tff(f7068,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X2,nil(X0)))) | nil(X0) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7010,f2662])).
% 5.10/1.09 tff(f7065,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,X2) | nil(X0) = X3 | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7010,f823])).
% 5.10/1.09 tff(f7060,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = X3 | X1 != X3 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7010,f641])).
% 5.10/1.09 tff(f7059,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = X3 | X1 != X3 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7010,f641])).
% 5.10/1.09 tff(f7010,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7009,f641])).
% 5.10/1.09 tff(f7054,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) != X1 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f7039,f823])).
% 5.10/1.09 tff(f7039,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (append(X0,X1,insert(X0,X2,nil(X0))) != X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7024,f595])).
% 5.10/1.09 tff(f7024,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (append(X0,X1,insert(X0,X2,nil(X0))) != X1 | nil(X0) = append(X0,X1,insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f7003,f1049])).
% 5.10/1.09 tff(f7038,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7003,f631])).
% 5.10/1.09 tff(f7037,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X1 | nil(X0) = X1 | butlast(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f7003,f823])).
% 5.10/1.09 tff(f7036,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7003,f2662])).
% 5.10/1.09 tff(f7041,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) != cons(X0,X1,butlast(X0,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7029,f370])).
% 5.10/1.09 tff(f7029,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) != cons(X0,X1,butlast(X0,X2)) | nil(X0) = cons(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f7003,f383])).
% 5.10/1.09 tff(f7040,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != append(X0,X1,butlast(X0,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f7025,f416])).
% 5.10/1.09 tff(f7025,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != append(X0,X1,butlast(X0,X2)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f7003,f389])).
% 5.10/1.09 tff(f7003,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) != X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6892,f569])).
% 5.10/1.09 tff(f6892,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) != X1 | nil(X0) = insert(X0,last(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f407,f6354])).
% 5.10/1.09 tff(f7017,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,X1) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f7009,f328])).
% 5.10/1.09 tff(f7011,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f7009,f641])).
% 5.10/1.09 tff(f7009,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6920,f5127])).
% 5.10/1.09 tff(f6920,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rev(X0,X1)) | nil(X0) = rev(X0,insert(X0,last(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2233,f6354])).
% 5.10/1.09 tff(f6939,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3014,f6354])).
% 5.10/1.09 tff(f6938,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f3013,f6354])).
% 5.10/1.09 tff(f6935,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,last(X0,X1),nil(X0)),X1,X2,X2) | nil(X0) != butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2716,f6354])).
% 5.10/1.09 tff(f6934,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X1) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2715,f6354])).
% 5.10/1.09 tff(f6933,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,insert(X0,last(X0,X1),nil(X0)),X2,X2) | nil(X0) != butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2714,f6354])).
% 5.10/1.09 tff(f6932,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,last(X0,X1),nil(X0)),X2,X1,butlast(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2713,f6354])).
% 5.10/1.09 tff(f6930,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,last(X0,X1),nil(X0)),X1,X2,butlast(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2648,f6354])).
% 5.10/1.09 tff(f6928,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X2) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2646,f6354])).
% 5.10/1.09 tff(f6926,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2587,f6354])).
% 5.10/1.09 tff(f6925,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2586,f6354])).
% 5.10/1.09 tff(f6923,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,last(X0,X1),nil(X0)) = X1 | nil(X0) != butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2570,f6354])).
% 5.10/1.09 tff(f6919,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = sK7(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2213,f6354])).
% 5.10/1.09 tff(f6918,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = sK3(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2212,f6354])).
% 5.10/1.09 tff(f6915,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,insert(X0,last(X0,X1),nil(X0)),X1,nil(X0),butlast(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f607,f6354])).
% 5.10/1.09 tff(f6914,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,nil(X0),insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f604,f6354])).
% 5.10/1.09 tff(f6913,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,X1,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f599,f6354])).
% 5.10/1.09 tff(f6912,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,insert(X0,last(X0,X1),nil(X0)),nil(X0),X1,butlast(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f596,f6354])).
% 5.10/1.09 tff(f6911,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,X1,insert(X0,last(X0,X1),nil(X0)),cons(X0,X2,butlast(X0,X1)),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f538,f6354])).
% 5.10/1.09 tff(f6910,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,X1,insert(X0,last(X0,X1),nil(X0)),cons(X0,X2,butlast(X0,X1)),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f534,f6354])).
% 5.10/1.09 tff(f7008,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,cons(X0,last(X0,X1),X2),butlast(X0,X1),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6909,f2164])).
% 5.10/1.09 tff(f6909,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,append(X0,insert(X0,last(X0,X1),nil(X0)),X2),butlast(X0,X1),X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f532,f6354])).
% 5.10/1.09 tff(f6908,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,last(X0,X1),nil(X0)),X1,X2,append(X0,X2,butlast(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f532,f6354])).
% 5.10/1.09 tff(f7007,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,cons(X0,last(X0,X1),X2),X2,X1,butlast(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6907,f2164])).
% 5.10/1.09 tff(f6907,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,insert(X0,last(X0,X1),nil(X0)),X2),X2,X1,butlast(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f530,f6354])).
% 5.10/1.09 tff(f6906,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,insert(X0,last(X0,X1),nil(X0)),append(X0,X2,butlast(X0,X1)),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f530,f6354])).
% 5.10/1.09 tff(f7006,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP2(X0,X3,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6905,f3138])).
% 5.10/1.09 tff(f6905,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP2(X0,X3,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f479,f6354])).
% 5.10/1.09 tff(f7005,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP1(X0,X3,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X2)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6904,f3138])).
% 5.10/1.09 tff(f6904,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sP1(X0,X3,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f471,f6354])).
% 5.10/1.09 tff(f6903,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP0(X0,insert(X0,last(X0,X1),nil(X0)),X3,X2,butlast(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f463,f6354])).
% 5.10/1.09 tff(f6902,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP0(X0,X3,insert(X0,last(X0,X1),nil(X0)),butlast(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f463,f6354])).
% 5.10/1.09 tff(f6901,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,butlast(X0,X1),X2) != X1 | insert(X0,last(X0,X1),nil(X0)) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f445,f6354])).
% 5.10/1.09 tff(f6900,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,butlast(X0,X1),X2) != X1 | insert(X0,last(X0,X1),nil(X0)) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f445,f6354])).
% 5.10/1.09 tff(f6899,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,insert(X0,last(X0,X1),nil(X0))) != X1 | butlast(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f443,f6354])).
% 5.10/1.09 tff(f6898,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,insert(X0,last(X0,X1),nil(X0))) != X1 | butlast(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f443,f6354])).
% 5.10/1.09 tff(f6897,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = append(X0,cons(X0,X2,butlast(X0,X1)),insert(X0,last(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f430,f6354])).
% 5.10/1.09 tff(f7004,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,butlast(X0,X1),cons(X0,last(X0,X1),X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6896,f2164])).
% 5.10/1.09 tff(f6896,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,butlast(X0,X1),append(X0,insert(X0,last(X0,X1),nil(X0)),X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f429,f6354])).
% 5.10/1.09 tff(f6890,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = hd(X0,butlast(X0,X1)) | nil(X0) = butlast(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f387,f6354])).
% 5.10/1.09 tff(f6888,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,cons(X0,last(X0,X1),butlast(X0,X1))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f2238,f6354])).
% 5.10/1.09 tff(f6882,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | nil(X0) = X1 | append(X0,butlast(X0,X1),insert(X0,last(X0,X1),nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f823])).
% 5.10/1.09 tff(f6880,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (insert(X0,last(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2570])).
% 5.10/1.09 tff(f6878,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,cons(X0,last(X0,X1),butlast(X0,X1))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2238])).
% 5.10/1.09 tff(f7000,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,butlast(X0,X1),X2) = X1 | nil(X0) = X1 | insert(X0,last(X0,X1),nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6876,f328])).
% 5.10/1.09 tff(f6876,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,butlast(X0,X1),rev(X0,rev(X0,X2))) = X1 | nil(X0) = X1 | insert(X0,last(X0,X1),nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f823])).
% 5.10/1.09 tff(f6999,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,butlast(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6874,f4863])).
% 5.10/1.09 tff(f6874,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,butlast(X0,rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0))) | nil(X0) = rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4831])).
% 5.10/1.09 tff(f6993,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,butlast(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6871,f4452])).
% 5.10/1.09 tff(f6871,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,butlast(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0))) | nil(X0) = rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4430])).
% 5.10/1.09 tff(f6992,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,butlast(X0,rotate1(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6870,f361])).
% 5.10/1.09 tff(f6870,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,butlast(X0,rotate1(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4434])).
% 5.10/1.09 tff(f6991,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,butlast(X0,rotate1(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6869,f361])).
% 5.10/1.09 tff(f6869,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,butlast(X0,rotate1(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4435])).
% 5.10/1.09 tff(f6990,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,butlast(X0,rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6868,f4489])).
% 5.10/1.09 tff(f6868,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) = append(X0,butlast(X0,rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))),insert(X0,X2,nil(X0))) | nil(X0) = rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f5787])).
% 5.10/1.09 tff(f6987,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,butlast(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6866,f5314])).
% 5.10/1.09 tff(f6866,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) = append(X0,butlast(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))),insert(X0,X1,nil(X0))) | nil(X0) = rev(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f5581])).
% 5.10/1.09 tff(f6986,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,hd(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6865,f583])).
% 5.10/1.09 tff(f6865,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,hd(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f344])).
% 5.10/1.09 tff(f6985,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6864,f583])).
% 5.10/1.09 tff(f6864,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f5585])).
% 5.10/1.09 tff(f6984,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6863,f583])).
% 5.10/1.09 tff(f6863,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) = append(X0,butlast(X0,rev(X0,X1)),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f5586])).
% 5.10/1.09 tff(f6983,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,rotate1(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,cons(X0,X1,rotate1(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6862,f370])).
% 5.10/1.09 tff(f6862,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,rotate1(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,cons(X0,X1,rotate1(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0))) | nil(X0) = cons(X0,X1,rotate1(X0,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4751])).
% 5.10/1.09 tff(f6982,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,cons(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6861,f370])).
% 5.10/1.09 tff(f6861,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,cons(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0))) | nil(X0) = cons(X0,X1,rev(X0,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f5759])).
% 5.10/1.09 tff(f6978,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) = append(X0,butlast(X0,cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))),insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6859,f370])).
% 5.10/1.09 tff(f6859,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) = append(X0,butlast(X0,cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))),insert(X0,X3,nil(X0))) | nil(X0) = cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f3074])).
% 5.10/1.09 tff(f6977,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = append(X0,butlast(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6858,f370])).
% 5.10/1.09 tff(f6858,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = append(X0,butlast(X0,cons(X0,X1,insert(X0,X2,nil(X0)))),insert(X0,X2,nil(X0))) | nil(X0) = cons(X0,X1,insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2379])).
% 5.10/1.09 tff(f6976,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,butlast(X0,cons(X0,X1,X2)),insert(X0,last(X0,X2),nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6857,f370])).
% 5.10/1.09 tff(f6857,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,butlast(X0,cons(X0,X1,X2)),insert(X0,last(X0,X2),nil(X0))) | nil(X0) = cons(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f381])).
% 5.10/1.09 tff(f6973,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rotate1(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,append(X0,X1,rotate1(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6855,f4316])).
% 5.10/1.09 tff(f6855,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rotate1(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,append(X0,X1,rotate1(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0))) | nil(X0) = append(X0,X1,rotate1(X0,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4317])).
% 5.10/1.09 tff(f6972,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,append(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6854,f5505])).
% 5.10/1.09 tff(f6854,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,rev(X0,cons(X0,X2,X3))) = append(X0,butlast(X0,append(X0,X1,rev(X0,cons(X0,X2,X3)))),insert(X0,X2,nil(X0))) | nil(X0) = append(X0,X1,rev(X0,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f5506])).
% 5.10/1.09 tff(f6971,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) = append(X0,butlast(X0,append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))),insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6853,f2375])).
% 5.10/1.09 tff(f6853,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) = append(X0,butlast(X0,append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))),insert(X0,X3,nil(X0))) | nil(X0) = append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2374])).
% 5.10/1.09 tff(f6969,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,rotate1(X0,cons(X0,X3,X2))) = append(X0,butlast(X0,append(X0,X1,rotate1(X0,cons(X0,X3,X2)))),insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6968,f2238])).
% 5.10/1.09 tff(f6968,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) = append(X0,butlast(X0,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))),insert(X0,X3,nil(X0)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6851,f2080])).
% 5.10/1.09 tff(f6851,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) = append(X0,butlast(X0,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))),insert(X0,X3,nil(X0))) | nil(X0) = append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2081])).
% 5.10/1.09 tff(f6967,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,butlast(X0,append(X0,X1,X2)),insert(X0,last(X0,X2),nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6850,f416])).
% 5.10/1.09 tff(f6850,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,butlast(X0,append(X0,X1,X2)),insert(X0,last(X0,X2),nil(X0))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f385])).
% 5.10/1.09 tff(f6966,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != last(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6849,f326])).
% 5.10/1.09 tff(f6849,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),rev(X0,nil(X0)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != last(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f631])).
% 5.10/1.09 tff(f6965,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),X2,nil(list(X0)))) = X1 | nil(list(X0)) = X1 | last(list(X0),X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6848,f328])).
% 5.10/1.09 tff(f6848,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),rev(X0,rev(X0,X2)),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | last(list(X0),X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f823])).
% 5.10/1.09 tff(f6964,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),nil(X0),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != last(list(X0),X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6847,f565])).
% 5.10/1.09 tff(f6847,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (append(list(X0),butlast(list(X0),X1),insert(list(X0),butlast(X0,insert(X0,X2,nil(X0))),nil(list(X0)))) = X1 | nil(list(X0)) = X1 | nil(X0) != last(list(X0),X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2662])).
% 5.10/1.09 tff(f6963,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6846,f326])).
% 5.10/1.09 tff(f6846,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,rev(X0,nil(X0)),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f631])).
% 5.10/1.09 tff(f6962,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | butlast(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6845,f328])).
% 5.10/1.09 tff(f6845,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,rev(X0,X2)),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | butlast(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f823])).
% 5.10/1.09 tff(f6961,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6844,f565])).
% 5.10/1.09 tff(f6844,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (append(X0,butlast(X0,insert(X0,X2,nil(X0))),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != butlast(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f6354,f2662])).
% 5.10/1.09 tff(f6960,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK4(X0,X1),insert(X0,last(X0,rotate1(X0,X1)),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6843,f361])).
% 5.10/1.09 tff(f6843,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK4(X0,X1),insert(X0,last(X0,rotate1(X0,X1)),nil(X0))) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4494])).
% 5.10/1.09 tff(f6959,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK8(X0,X1),insert(X0,last(X0,rotate1(X0,X1)),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6842,f361])).
% 5.10/1.09 tff(f6842,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) = append(X0,sK8(X0,X1),insert(X0,last(X0,rotate1(X0,X1)),nil(X0))) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6354,f4495])).
% 5.10/1.09 tff(f6951,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,cons(X0,X1,butlast(X0,X2)),insert(X0,last(X0,cons(X0,X1,X2)),nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6837,f370])).
% 5.10/1.09 tff(f6837,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,cons(X0,X1,butlast(X0,X2)),insert(X0,last(X0,cons(X0,X1,X2)),nil(X0))) | nil(X0) = cons(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f383])).
% 5.10/1.09 tff(f6943,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,append(X0,X1,butlast(X0,X2)),insert(X0,last(X0,append(X0,X1,X2)),nil(X0))) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6833,f416])).
% 5.10/1.09 tff(f6833,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,append(X0,X1,butlast(X0,X2)),insert(X0,last(X0,append(X0,X1,X2)),nil(X0))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f6354,f389])).
% 5.10/1.09 tff(f6354,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f345,f335])).
% 5.10/1.09 tff(f6831,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,X4) | rotate1(X0,append(X0,cons(X0,X1,insert(X0,X2,nil(X0))),X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6826,f328])).
% 5.10/1.09 tff(f6826,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X4))) | rotate1(X0,append(X0,cons(X0,X1,insert(X0,X2,nil(X0))),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5451,f823])).
% 5.10/1.09 tff(f6830,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,X4)) | append(X0,cons(X0,X1,insert(X0,X2,nil(X0))),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6823,f328])).
% 5.10/1.09 tff(f6823,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,rev(X0,rev(X0,X4)))) | append(X0,cons(X0,X1,insert(X0,X2,nil(X0))),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5451,f823])).
% 5.10/1.09 tff(f6821,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (~null(X0,rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,insert(X0,X2,nil(X0)))))))) )),
% 5.10/1.09 inference(superposition,[],[f5451,f2238])).
% 5.10/1.09 tff(f6829,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,append(X0,X3,X4))) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6816,f328])).
% 5.10/1.09 tff(f6816,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4))) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5451,f823])).
% 5.10/1.09 tff(f6828,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X3,X2),X4))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6813,f328])).
% 5.10/1.09 tff(f6813,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X3,rev(X0,rev(X0,X2))),X4))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5451,f823])).
% 5.10/1.09 tff(f5451,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~null(X0,rotate1(X0,append(X0,cons(X0,X2,insert(X0,X1,nil(X0))),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f4596,f335])).
% 5.10/1.09 tff(f6811,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,X3) | cons(X0,X1,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6806,f328])).
% 5.10/1.09 tff(f6806,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5449,f823])).
% 5.10/1.09 tff(f6810,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,X3)) | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6803,f328])).
% 5.10/1.09 tff(f6803,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rev(X0,rev(X0,X3)))) | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5449,f823])).
% 5.10/1.09 tff(f6809,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,X3))) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6800,f328])).
% 5.10/1.09 tff(f6800,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,rev(X0,rev(X0,X3))))) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5449,f823])).
% 5.10/1.09 tff(f6808,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,cons(X0,X3,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6797,f328])).
% 5.10/1.09 tff(f6797,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,cons(X0,X3,rev(X0,rev(X0,X2)))))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5449,f823])).
% 5.10/1.09 tff(f5449,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5444,f4313])).
% 5.10/1.09 tff(f5444,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))))) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f1813,f4375])).
% 5.10/1.09 tff(f6795,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~distinct(X0,X5) | append(X0,cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))),X4) != X5) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6787,f328])).
% 5.10/1.09 tff(f6787,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X5))) | append(X0,cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))),X4) != X5) )),
% 5.10/1.09 inference(superposition,[],[f5347,f823])).
% 5.10/1.09 tff(f6785,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))))))) )),
% 5.10/1.09 inference(superposition,[],[f5347,f2238])).
% 5.10/1.09 tff(f6794,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~distinct(X0,append(X0,X4,X5)) | cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6780,f328])).
% 5.10/1.09 tff(f6780,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~distinct(X0,append(X0,rev(X0,rev(X0,X4)),X5)) | cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5347,f823])).
% 5.10/1.09 tff(f6793,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X4,X3),X5)) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6777,f328])).
% 5.10/1.09 tff(f6777,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X4,rev(X0,rev(X0,X3))),X5)) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5347,f823])).
% 5.10/1.09 tff(f6792,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X3)),X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6774,f328])).
% 5.10/1.09 tff(f6774,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,rev(X0,rev(X0,X3)))),X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5347,f823])).
% 5.10/1.09 tff(f6772,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X2,cons(X0,sK7(X0,X1),X1)),X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5347,f351])).
% 5.10/1.09 tff(f6771,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X2,cons(X0,sK3(X0,X1),X1)),X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5347,f347])).
% 5.10/1.09 tff(f6768,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X2,cons(X0,X1,insert(X0,X1,nil(X0)))),X3))) )),
% 5.10/1.09 inference(superposition,[],[f5347,f335])).
% 5.10/1.09 tff(f5347,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,cons(X0,X1,X2))),X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5346,f430])).
% 5.10/1.09 tff(f5346,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,append(X0,cons(X0,X1,cons(X0,X1,X2)),X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5331,f430])).
% 5.10/1.09 tff(f5331,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,cons(X0,X1,append(X0,cons(X0,X1,X2),X3))))) )),
% 5.10/1.09 inference(superposition,[],[f5216,f430])).
% 5.10/1.09 tff(f6763,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | last(X0,X3) = X1 | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4617,f823])).
% 5.10/1.09 tff(f6766,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,X2) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6759,f328])).
% 5.10/1.09 tff(f6759,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,rev(X0,rev(X0,X2))) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4617,f823])).
% 5.10/1.09 tff(f4617,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,insert(X0,X1,nil(X0))) != X2 | last(X0,X2) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4611,f328])).
% 5.10/1.09 tff(f4611,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X2))) = X1 | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4431,f823])).
% 5.10/1.09 tff(f6755,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | last(X0,rotate1(X0,X3)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4616,f823])).
% 5.10/1.09 tff(f4616,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | last(X0,rotate1(X0,X2)) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4608,f328])).
% 5.10/1.09 tff(f4608,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,rotate1(X0,rev(X0,rev(X0,X2)))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4431,f823])).
% 5.10/1.09 tff(f6751,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) != rotate1(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4606,f823])).
% 5.10/1.09 tff(f4606,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4601,f328])).
% 5.10/1.09 tff(f4601,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4416,f823])).
% 5.10/1.09 tff(f6749,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (X4 != X5 | ~null(X0,X5) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6743,f328])).
% 5.10/1.09 tff(f6743,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | ~null(X0,X5) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4599,f823])).
% 5.10/1.09 tff(f6748,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rotate1(X0,X4) != X5 | ~null(X0,X5) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6740,f328])).
% 5.10/1.09 tff(f6740,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rotate1(X0,rev(X0,rev(X0,X4))) != X5 | ~null(X0,X5) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4599,f823])).
% 5.10/1.09 tff(f6747,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (rotate1(X0,cons(X0,X4,X3)) != X5 | ~null(X0,X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6737,f328])).
% 5.10/1.09 tff(f6737,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) != X5 | ~null(X0,X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4599,f823])).
% 5.10/1.09 tff(f6735,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != X3 | ~null(X0,X3) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4599,f351])).
% 5.10/1.09 tff(f6734,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != X3 | ~null(X0,X3) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4599,f347])).
% 5.10/1.09 tff(f6731,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))) != X3 | ~null(X0,X3)) )),
% 5.10/1.09 inference(superposition,[],[f4599,f335])).
% 5.10/1.09 tff(f6746,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)) != X5 | ~null(X0,X5)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6730,f430])).
% 5.10/1.09 tff(f6730,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))) != X5 | ~null(X0,X5)) )),
% 5.10/1.09 inference(superposition,[],[f4599,f430])).
% 5.10/1.09 tff(f4599,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4 | ~null(X0,X4)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4594,f328])).
% 5.10/1.09 tff(f4594,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X4))) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4378,f823])).
% 5.10/1.09 tff(f6729,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (X4 != X5 | ~null(X0,rotate1(X0,X5)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6724,f328])).
% 5.10/1.09 tff(f6724,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | ~null(X0,rotate1(X0,X5)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4598,f823])).
% 5.10/1.09 tff(f6728,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X3) != X5 | ~null(X0,rotate1(X0,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6721,f328])).
% 5.10/1.09 tff(f6721,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,rev(X0,rev(X0,X3))) != X5 | ~null(X0,rotate1(X0,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4598,f823])).
% 5.10/1.09 tff(f6719,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X1) != X3 | ~null(X0,rotate1(X0,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4598,f351])).
% 5.10/1.09 tff(f6718,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X1) != X3 | ~null(X0,rotate1(X0,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4598,f347])).
% 5.10/1.09 tff(f6715,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (cons(X0,X2,insert(X0,X1,nil(X0))) != X3 | ~null(X0,rotate1(X0,X3))) )),
% 5.10/1.09 inference(superposition,[],[f4598,f335])).
% 5.10/1.09 tff(f6727,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (append(X0,cons(X0,X4,cons(X0,X1,X2)),X3) != X5 | ~null(X0,rotate1(X0,X5))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6714,f430])).
% 5.10/1.09 tff(f6714,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,append(X0,cons(X0,X1,X2),X3)) != X5 | ~null(X0,rotate1(X0,X5))) )),
% 5.10/1.09 inference(superposition,[],[f4598,f430])).
% 5.10/1.09 tff(f4598,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,cons(X0,X2,X3)) != X4 | ~null(X0,rotate1(X0,X4))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4591,f328])).
% 5.10/1.09 tff(f4591,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rotate1(X0,rev(X0,rev(X0,X4)))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4378,f823])).
% 5.10/1.09 tff(f6713,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,X3) | cons(X0,X4,X5) != X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6708,f328])).
% 5.10/1.09 tff(f6708,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,rev(X0,rev(X0,X3))) | cons(X0,X4,X5) != X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4597,f823])).
% 5.10/1.09 tff(f6712,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,rotate1(X0,X3)) | cons(X0,X4,X5) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6705,f328])).
% 5.10/1.09 tff(f6705,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X4,X5) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4597,f823])).
% 5.10/1.09 tff(f6703,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rotate1(X0,X1)) | cons(X0,X2,X3) != sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4597,f351])).
% 5.10/1.09 tff(f6702,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rotate1(X0,X1)) | cons(X0,X2,X3) != sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4597,f347])).
% 5.10/1.09 tff(f6698,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) | cons(X0,X4,X5) != append(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f4597,f430])).
% 5.10/1.09 tff(f4597,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rotate1(X0,cons(X0,X4,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4588,f328])).
% 5.10/1.09 tff(f4588,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4378,f823])).
% 5.10/1.09 tff(f6697,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | distinct(X0,append(X0,X2,X3)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6686,f328])).
% 5.10/1.09 tff(f6686,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | distinct(X0,append(X0,X2,X3)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4569,f823])).
% 5.10/1.09 tff(f6696,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (distinct(X0,rotate1(X0,cons(X0,X3,X2))) | ~distinct(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6684,f2238])).
% 5.10/1.09 tff(f6684,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) | distinct(X0,append(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f4569,f2238])).
% 5.10/1.09 tff(f6682,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,X2)) | distinct(X0,append(X0,X2,X3)) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4569,f2571])).
% 5.10/1.09 tff(f6694,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,append(X0,X3,X4)) | distinct(X0,append(X0,X2,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6679,f328])).
% 5.10/1.09 tff(f6679,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | distinct(X0,append(X0,X2,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4569,f823])).
% 5.10/1.09 tff(f6677,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,X1,X2)) | distinct(X0,append(X0,sK8(X0,X1),X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4569,f351])).
% 5.10/1.09 tff(f6676,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,X1,X2)) | distinct(X0,append(X0,sK4(X0,X1),X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4569,f347])).
% 5.10/1.09 tff(f4569,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | distinct(X0,append(X0,X2,X3))) )),
% 5.10/1.09 inference(superposition,[],[f4548,f430])).
% 5.10/1.09 tff(f6671,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),insert(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f525,f335])).
% 5.10/1.09 tff(f6670,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | distinct(X0,X2) | ~distinct(X0,X4) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6664,f328])).
% 5.10/1.09 tff(f6664,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | distinct(X0,X2) | ~distinct(X0,X4) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4564,f823])).
% 5.10/1.09 tff(f6669,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,X3) != X4 | distinct(X0,X2) | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6661,f328])).
% 5.10/1.09 tff(f6661,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,rev(X0,rev(X0,X3))) != X4 | distinct(X0,X2) | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4564,f823])).
% 5.10/1.09 tff(f6659,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | distinct(X0,sK8(X0,X1)) | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4564,f351])).
% 5.10/1.09 tff(f6658,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | distinct(X0,sK4(X0,X1)) | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4564,f347])).
% 5.10/1.09 tff(f6654,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | distinct(X0,append(X0,X2,X3)) | ~distinct(X0,X4)) )),
% 5.10/1.09 inference(superposition,[],[f4564,f430])).
% 5.10/1.09 tff(f4564,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | distinct(X0,X2) | ~distinct(X0,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4559,f328])).
% 5.10/1.09 tff(f4559,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | distinct(X0,X2) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4315,f823])).
% 5.10/1.09 tff(f6653,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | distinct(X0,X2) | ~distinct(X0,rotate1(X0,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6648,f328])).
% 5.10/1.09 tff(f6648,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | distinct(X0,X2) | ~distinct(X0,rotate1(X0,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4563,f823])).
% 5.10/1.09 tff(f6646,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,sK8(X0,X1)) | ~distinct(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4563,f351])).
% 5.10/1.09 tff(f6645,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,sK4(X0,X1)) | ~distinct(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4563,f347])).
% 5.10/1.09 tff(f6641,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | distinct(X0,append(X0,X2,X3)) | ~distinct(X0,rotate1(X0,X4))) )),
% 5.10/1.09 inference(superposition,[],[f4563,f430])).
% 5.10/1.09 tff(f4563,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | distinct(X0,X2) | ~distinct(X0,rotate1(X0,X3))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4556,f328])).
% 5.10/1.09 tff(f4556,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rotate1(X0,rev(X0,rev(X0,X3)))) | distinct(X0,X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4315,f823])).
% 5.10/1.09 tff(f6637,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | butlast(X0,X4) = X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4509,f823])).
% 5.10/1.09 tff(f6640,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,X3) != X4 | butlast(X0,X4) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6634,f328])).
% 5.10/1.09 tff(f6634,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,rev(X0,rev(X0,X3))) != X4 | butlast(X0,X4) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4509,f823])).
% 5.10/1.09 tff(f6632,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | butlast(X0,X2) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4509,f351])).
% 5.10/1.09 tff(f6631,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | butlast(X0,X2) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4509,f347])).
% 5.10/1.09 tff(f6630,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | butlast(X0,X3) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4509,f2997])).
% 5.10/1.09 tff(f6629,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | butlast(X0,X3) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4509,f2525])).
% 5.10/1.09 tff(f6628,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,insert(X0,X1,nil(X0))) != X2 | nil(X0) = butlast(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f4509,f335])).
% 5.10/1.09 tff(f6627,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | append(X0,X2,X3) = butlast(X0,X4)) )),
% 5.10/1.09 inference(superposition,[],[f4509,f430])).
% 5.10/1.09 tff(f4509,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | butlast(X0,X3) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4500,f328])).
% 5.10/1.09 tff(f4500,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (butlast(X0,rev(X0,rev(X0,X3))) = X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4314,f823])).
% 5.10/1.09 tff(f6624,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | butlast(X0,rotate1(X0,X4)) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4508,f823])).
% 5.10/1.09 tff(f6622,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK8(X0,X1) = butlast(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4508,f351])).
% 5.10/1.09 tff(f6621,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK4(X0,X1) = butlast(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4508,f347])).
% 5.10/1.09 tff(f6620,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,cons(X0,X1,X2)) = butlast(X0,rotate1(X0,X3))) )),
% 5.10/1.09 inference(superposition,[],[f4508,f2997])).
% 5.10/1.09 tff(f6619,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,cons(X0,X1,X2)) = butlast(X0,rotate1(X0,X3))) )),
% 5.10/1.09 inference(superposition,[],[f4508,f2525])).
% 5.10/1.09 tff(f6618,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) = butlast(X0,rotate1(X0,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4508,f335])).
% 5.10/1.09 tff(f6617,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | append(X0,X2,X3) = butlast(X0,rotate1(X0,X4))) )),
% 5.10/1.09 inference(superposition,[],[f4508,f430])).
% 5.10/1.09 tff(f4508,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | butlast(X0,rotate1(X0,X3)) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4497,f328])).
% 5.10/1.09 tff(f4497,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (butlast(X0,rotate1(X0,rev(X0,rev(X0,X3)))) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4314,f823])).
% 5.10/1.09 tff(f6613,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X2 | butlast(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5829,f823])).
% 5.10/1.09 tff(f6616,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != butlast(X0,X3) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6608,f328])).
% 5.10/1.09 tff(f6608,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != butlast(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5829,f823])).
% 5.10/1.09 tff(f6606,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != butlast(X0,X1) | nil(X0) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5829,f351])).
% 5.10/1.09 tff(f6605,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != butlast(X0,X1) | nil(X0) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5829,f347])).
% 5.10/1.09 tff(f6604,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != butlast(X0,cons(X0,X1,X2)) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f5829,f2997])).
% 5.10/1.09 tff(f6603,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != butlast(X0,cons(X0,X1,X2)) | nil(X0) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f5829,f2525])).
% 5.10/1.09 tff(f6601,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != butlast(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f5829,f430])).
% 5.10/1.09 tff(f5829,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != butlast(X0,cons(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5828,f370])).
% 5.10/1.09 tff(f5828,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5820,f326])).
% 5.10/1.09 tff(f5820,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f383,f631])).
% 5.10/1.09 tff(f6600,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != last(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6588,f326])).
% 5.10/1.09 tff(f6588,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f5787,f631])).
% 5.10/1.09 tff(f6587,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | last(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5787,f823])).
% 5.10/1.09 tff(f6586,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != last(list(X0),rev(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f5787,f2662])).
% 5.10/1.09 tff(f6599,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,X4) = X2 | rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6584,f328])).
% 5.10/1.09 tff(f6584,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X2 | rev(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5787,f823])).
% 5.10/1.09 tff(f6581,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5787,f641])).
% 5.10/1.09 tff(f6580,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5787,f641])).
% 5.10/1.09 tff(f6598,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6578,f328])).
% 5.10/1.09 tff(f6578,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,rev(X0,X4)))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5787,f823])).
% 5.10/1.09 tff(f6597,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rotate1(X0,X4))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6575,f328])).
% 5.10/1.09 tff(f6575,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X4))))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5787,f823])).
% 5.10/1.09 tff(f6596,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6572,f5095])).
% 5.10/1.09 tff(f6572,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rev(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3)))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5787,f823])).
% 5.10/1.09 tff(f6570,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = last(X0,rev(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5787,f351])).
% 5.10/1.09 tff(f6569,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = last(X0,rev(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5787,f347])).
% 5.10/1.09 tff(f6566,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (last(X0,rev(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5787,f335])).
% 5.10/1.09 tff(f6595,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rev(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6565,f430])).
% 5.10/1.09 tff(f6565,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rev(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5787,f430])).
% 5.10/1.09 tff(f5787,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (last(X0,rev(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5581,f2238])).
% 5.10/1.09 tff(f6561,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X5)) | append(X0,X1,append(X0,X2,cons(X0,X3,X4))) != X5) )),
% 5.10/1.09 inference(superposition,[],[f6502,f823])).
% 5.10/1.09 tff(f6557,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,append(X0,X3,cons(X0,X4,X5))))) )),
% 5.10/1.09 inference(superposition,[],[f6502,f429])).
% 5.10/1.09 tff(f6564,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X5,X4) | append(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6553,f328])).
% 5.10/1.09 tff(f6553,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X5,rev(X0,rev(X0,X4))) | append(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f6502,f823])).
% 5.10/1.09 tff(f6549,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X5,append(X0,X1,append(X0,X2,cons(X0,X3,X4))))) )),
% 5.10/1.09 inference(superposition,[],[f6502,f429])).
% 5.10/1.09 tff(f6563,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,X5,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6545,f328])).
% 5.10/1.09 tff(f6545,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,X5,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6502,f823])).
% 5.10/1.09 tff(f6543,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,append(X0,X3,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6502,f351])).
% 5.10/1.09 tff(f6542,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,append(X0,X3,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6502,f347])).
% 5.10/1.09 tff(f6538,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,X5,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f6502,f430])).
% 5.10/1.09 tff(f6502,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,cons(X0,X3,X4)))) )),
% 5.10/1.09 inference(superposition,[],[f6489,f429])).
% 5.10/1.09 tff(f6532,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X5)) | append(X0,X1,append(X0,cons(X0,X2,X3),X4)) != X5) )),
% 5.10/1.09 inference(superposition,[],[f6491,f823])).
% 5.10/1.09 tff(f6528,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,append(X0,cons(X0,X3,X4),X5)))) )),
% 5.10/1.09 inference(superposition,[],[f6491,f429])).
% 5.10/1.09 tff(f6537,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X5,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6524,f328])).
% 5.10/1.09 tff(f6524,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X5,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f6491,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,X3,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6517,f328])).
% 5.10/1.09 tff(f6517,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,rev(X0,rev(X0,X3)),X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6491,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,append(X0,X1,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6491,f351])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,append(X0,X1,X3)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6491,f347])).
% 5.10/1.09 tff(f6491,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f6489,f430])).
% 5.10/1.09 tff(f6506,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f6489,f823])).
% 5.10/1.09 tff(f6489,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,X3,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6476,f4313])).
% 5.10/1.09 tff(f6476,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,X3,cons(X0,X1,X2)) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5718,f5095])).
% 5.10/1.09 tff(f6487,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X2 | append(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5718,f823])).
% 5.10/1.09 tff(f6482,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,rev(X0,X3))) | nil(X0) = X3) )),
% 5.10/1.09 inference(superposition,[],[f5718,f429])).
% 5.10/1.09 tff(f6490,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6478,f328])).
% 5.10/1.09 tff(f6478,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5718,f823])).
% 5.10/1.09 tff(f6474,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,X2) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5718,f823])).
% 5.10/1.09 tff(f6469,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5718,f641])).
% 5.10/1.09 tff(f6468,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5718,f641])).
% 5.10/1.09 tff(f5718,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5505,f347])).
% 5.10/1.09 tff(f6463,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != rev(X0,rev(X0,X2)) | cons(X0,X4,X3) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f823])).
% 5.10/1.09 tff(f6461,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X1,X2) != rev(X0,X3) | cons(X0,X4,X3) != rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5614,f5095])).
% 5.10/1.09 tff(f6459,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != X2 | rev(X0,X1) != cons(X0,X4,X3) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f823])).
% 5.10/1.09 tff(f6456,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | insert(X0,X1,nil(X0)) != cons(X0,X3,X2)) )),
% 5.10/1.09 inference(superposition,[],[f5614,f1383])).
% 5.10/1.09 tff(f6454,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X4,X3) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f641])).
% 5.10/1.09 tff(f6453,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X4,X3) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f641])).
% 5.10/1.09 tff(f6451,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != rev(X0,rev(X0,X2)) | cons(X0,X4,X1) != X3 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f823])).
% 5.10/1.09 tff(f6449,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (cons(X0,X1,X2) != rev(X0,X3) | cons(X0,X4,rotate1(X0,cons(X0,X1,rev(X0,X2)))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5614,f5095])).
% 5.10/1.09 tff(f6447,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X3) != X2 | cons(X0,X4,rev(X0,X1)) != X3 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f823])).
% 5.10/1.09 tff(f6445,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,X2) != X1 | cons(X0,X3,nil(X0)) != X2 | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f5614,f631])).
% 5.10/1.09 tff(f6444,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | cons(X0,X3,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f1383])).
% 5.10/1.09 tff(f6442,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X4,X1) != X3 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f641])).
% 5.10/1.09 tff(f6441,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X4,X1) != X3 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5614,f641])).
% 5.10/1.09 tff(f5614,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5575,f641])).
% 5.10/1.09 tff(f6435,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4863,f823])).
% 5.10/1.09 tff(f6440,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,X4) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6432,f328])).
% 5.10/1.09 tff(f6432,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,rev(X0,rev(X0,X4))) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4863,f823])).
% 5.10/1.09 tff(f6439,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,rotate1(X0,X4)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6429,f328])).
% 5.10/1.09 tff(f6429,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,rotate1(X0,rev(X0,rev(X0,X4)))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4863,f823])).
% 5.10/1.09 tff(f6438,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X4,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6426,f328])).
% 5.10/1.09 tff(f6426,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4863,f823])).
% 5.10/1.09 tff(f6424,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4863,f351])).
% 5.10/1.09 tff(f6423,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4863,f347])).
% 5.10/1.09 tff(f6420,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) )),
% 5.10/1.09 inference(superposition,[],[f4863,f335])).
% 5.10/1.09 tff(f6437,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != rotate1(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6419,f430])).
% 5.10/1.09 tff(f6419,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))) )),
% 5.10/1.09 inference(superposition,[],[f4863,f430])).
% 5.10/1.09 tff(f4863,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(superposition,[],[f4452,f2238])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X1 | rotate1(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4855,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rotate1(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6413,f328])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rotate1(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4855,f823])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f4855,f4619])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rotate1(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f4855,f378])).
% 5.10/1.09 tff(f6406,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rotate1(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f4855,f429])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4855,f2238])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rotate1(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4452,f347])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != last(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6389,f326])).
% 5.10/1.09 tff(f6389,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f4831,f631])).
% 5.10/1.09 tff(f6388,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | last(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4831,f823])).
% 5.10/1.09 tff(f6387,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != last(list(X0),rotate1(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f4831,f2662])).
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% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,nil(X0)) = X2 | nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6386,f326])).
% 5.10/1.09 tff(f6386,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,rev(X0,nil(X0))) = X2 | nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f4831,f631])).
% 5.10/1.09 tff(f6399,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,X4) = X2 | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6385,f328])).
% 5.10/1.09 tff(f6385,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X2 | rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4831,f823])).
% 5.10/1.09 tff(f6398,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,nil(X0)) = X2 | nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6384,f565])).
% 5.10/1.09 tff(f6384,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,butlast(X0,insert(X0,X4,nil(X0)))) = X2 | nil(X0) != rotate1(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f4831,f2662])).
% 5.10/1.09 tff(f6397,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,X4)) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6382,f328])).
% 5.10/1.09 tff(f6382,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4831,f823])).
% 5.10/1.09 tff(f6396,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,rotate1(X0,X4))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6379,f328])).
% 5.10/1.09 tff(f6379,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,rotate1(X0,rev(X0,rev(X0,X4))))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4831,f823])).
% 5.10/1.09 tff(f6395,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rotate1(X0,rotate1(X0,cons(X0,X4,X3)))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6376,f328])).
% 5.10/1.09 tff(f6376,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rotate1(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3)))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4831,f823])).
% 5.10/1.09 tff(f6374,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = last(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4831,f351])).
% 5.10/1.09 tff(f6373,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = last(X0,rotate1(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4831,f347])).
% 5.10/1.09 tff(f6370,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (last(X0,rotate1(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4831,f335])).
% 5.10/1.09 tff(f6394,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rotate1(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6369,f430])).
% 5.10/1.09 tff(f6369,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,rotate1(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4831,f430])).
% 5.10/1.09 tff(f4831,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (last(X0,rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4430,f2238])).
% 5.10/1.09 tff(f6366,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X2 | append(X0,X1,rotate1(X0,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4718,f823])).
% 5.10/1.09 tff(f6362,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,rotate1(X0,X3))) | nil(X0) = X3) )),
% 5.10/1.09 inference(superposition,[],[f4718,f429])).
% 5.10/1.09 tff(f6368,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,X2) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6358,f328])).
% 5.10/1.09 tff(f6358,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4718,f823])).
% 5.10/1.09 tff(f4718,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4316,f347])).
% 5.10/1.09 tff(f6351,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6347,f328])).
% 5.10/1.09 tff(f6347,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4554,f823])).
% 5.10/1.09 tff(f4554,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK8(X0,X1)) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4315,f351])).
% 5.10/1.09 tff(f6340,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6337,f328])).
% 5.10/1.09 tff(f6337,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4553,f823])).
% 5.10/1.09 tff(f4553,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK4(X0,X1)) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4315,f347])).
% 5.10/1.09 tff(f6333,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,X3) | rotate1(X0,cons(X0,X1,cons(X0,X2,insert(X0,X2,nil(X0))))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6328,f328])).
% 5.10/1.09 tff(f6328,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | rotate1(X0,cons(X0,X1,cons(X0,X2,insert(X0,X2,nil(X0))))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4389,f823])).
% 5.10/1.09 tff(f6332,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,rotate1(X0,X3)) | cons(X0,X1,cons(X0,X2,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6325,f328])).
% 5.10/1.09 tff(f6325,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,cons(X0,X2,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4389,f823])).
% 5.10/1.09 tff(f6331,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X3,X2))) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6322,f328])).
% 5.10/1.09 tff(f6322,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X3,rev(X0,rev(X0,X2))))) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4389,f823])).
% 5.10/1.09 tff(f6330,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6319,f328])).
% 5.10/1.09 tff(f6319,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,rev(X0,rev(X0,X2)))))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4389,f823])).
% 5.10/1.09 tff(f4389,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X2,cons(X0,X1,insert(X0,X1,nil(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f2240,f2238])).
% 5.10/1.09 tff(f6310,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | rev(X0,sK8(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5610,f823])).
% 5.10/1.09 tff(f6307,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5610,f641])).
% 5.10/1.09 tff(f6306,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5610,f641])).
% 5.10/1.09 tff(f6314,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6304,f328])).
% 5.10/1.09 tff(f6304,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5610,f823])).
% 5.10/1.09 tff(f5610,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) != rev(X0,sK8(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5575,f351])).
% 5.10/1.09 tff(f6294,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | rev(X0,sK4(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5609,f823])).
% 5.10/1.09 tff(f6291,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5609,f641])).
% 5.10/1.09 tff(f6290,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5609,f641])).
% 5.10/1.09 tff(f6297,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6288,f328])).
% 5.10/1.09 tff(f6288,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5609,f823])).
% 5.10/1.09 tff(f5609,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,X1) != rev(X0,sK4(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5575,f347])).
% 5.10/1.09 tff(f6284,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK8(X0,X1)) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6276,f361])).
% 5.10/1.09 tff(f6276,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK8(X0,X1)) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f346,f4495])).
% 5.10/1.09 tff(f6283,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK8(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6272,f326])).
% 5.10/1.09 tff(f6272,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = sK8(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4495,f631])).
% 5.10/1.09 tff(f6271,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK8(X0,X1) = rev(X0,rev(X0,X2)) | nil(X0) = X1 | butlast(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4495,f823])).
% 5.10/1.09 tff(f6282,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK8(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6270,f565])).
% 5.10/1.09 tff(f6270,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK8(X0,X1) = butlast(X0,insert(X0,X2,nil(X0))) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4495,f2662])).
% 5.10/1.09 tff(f6281,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (butlast(X0,X2) = sK8(X0,X1) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6265,f328])).
% 5.10/1.09 tff(f6265,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK8(X0,X1) = butlast(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4495,f823])).
% 5.10/1.09 tff(f4495,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK8(X0,X1) = butlast(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4314,f351])).
% 5.10/1.09 tff(f6261,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK4(X0,X1)) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6255,f361])).
% 5.10/1.09 tff(f6255,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK4(X0,X1)) | ~distinct(X0,rotate1(X0,X1)) | nil(X0) = rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f346,f4494])).
% 5.10/1.09 tff(f6260,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6252,f326])).
% 5.10/1.09 tff(f6252,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4494,f631])).
% 5.10/1.09 tff(f6251,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK4(X0,X1) = rev(X0,rev(X0,X2)) | nil(X0) = X1 | butlast(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4494,f823])).
% 5.10/1.09 tff(f6259,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6250,f565])).
% 5.10/1.09 tff(f6250,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK4(X0,X1) = butlast(X0,insert(X0,X2,nil(X0))) | nil(X0) = X1 | nil(X0) != butlast(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4494,f2662])).
% 5.10/1.09 tff(f6258,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (butlast(X0,X2) = sK4(X0,X1) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6246,f328])).
% 5.10/1.09 tff(f6246,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK4(X0,X1) = butlast(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4494,f823])).
% 5.10/1.09 tff(f4494,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (sK4(X0,X1) = butlast(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4314,f347])).
% 5.10/1.09 tff(f6231,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != rev(X0,rev(X0,X4)) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4415,f823])).
% 5.10/1.09 tff(f6242,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != rotate1(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6228,f328])).
% 5.10/1.09 tff(f6228,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != rotate1(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4415,f823])).
% 5.10/1.09 tff(f6241,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rotate1(X0,cons(X0,X3,X2)) != rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6226,f2238])).
% 5.10/1.09 tff(f6226,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (append(X0,X2,insert(X0,X3,nil(X0))) != rotate1(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.09 inference(superposition,[],[f4415,f2238])).
% 5.10/1.09 tff(f6224,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) != rotate1(X0,cons(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4415,f2571])).
% 5.10/1.09 tff(f6239,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) != rotate1(X0,append(X0,X3,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6221,f328])).
% 5.10/1.09 tff(f6221,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) != rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4415,f823])).
% 5.10/1.09 tff(f6219,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK8(X0,X1),X2) != rotate1(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4415,f351])).
% 5.10/1.09 tff(f6218,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK4(X0,X1),X2) != rotate1(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4415,f347])).
% 5.10/1.09 tff(f4415,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f4398,f430])).
% 5.10/1.09 tff(f6205,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != rev(X0,X4) | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f6117,f823])).
% 5.10/1.09 tff(f6203,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6117,f351])).
% 5.10/1.09 tff(f6202,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f6117,f347])).
% 5.10/1.09 tff(f6199,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | nil(X0) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6117,f335])).
% 5.10/1.09 tff(f6198,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != rev(X0,X4) | nil(X0) != X4) )),
% 5.10/1.09 inference(superposition,[],[f6117,f430])).
% 5.10/1.09 tff(f6196,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != rev(X0,rev(X0,X2)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6117,f823])).
% 5.10/1.09 tff(f6192,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6117,f823])).
% 5.10/1.09 tff(f6187,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != cons(X0,X3,X4) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6117,f641])).
% 5.10/1.09 tff(f6186,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,X2) != cons(X0,X3,X4) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f6117,f641])).
% 5.10/1.09 tff(f6117,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,X1) != cons(X0,X2,X3) | nil(X0) != X1) )),
% 5.10/1.09 inference(superposition,[],[f5323,f328])).
% 5.10/1.09 tff(f6185,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) = dropWhile(X0,X3,cons(X0,X1,X2)) | dropWhile(X0,X3,X4) = dropWhile(X0,X3,cons(X0,X1,X4))) )),
% 5.10/1.09 inference(resolution,[],[f434,f433])).
% 5.10/1.09 tff(f434,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (pp(aa(X0,bool,X3,X2)) | cons(X0,X2,X1) = dropWhile(X0,X3,cons(X0,X2,X1))) )),
% 5.10/1.09 inference(cnf_transformation,[],[f237])).
% 5.10/1.09 tff(f237,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : fun(X0,bool)] : ((cons(X0,X2,X1) = dropWhile(X0,X3,cons(X0,X2,X1)) | pp(aa(X0,bool,X3,X2))) & (dropWhile(X0,X3,cons(X0,X2,X1)) = dropWhile(X0,X3,X1) | ~pp(aa(X0,bool,X3,X2))))),
% 5.10/1.09 inference(ennf_transformation,[],[f184])).
% 5.10/1.09 tff(f184,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : fun(X0,bool)] : ((~pp(aa(X0,bool,X3,X2)) => cons(X0,X2,X1) = dropWhile(X0,X3,cons(X0,X2,X1))) & (pp(aa(X0,bool,X3,X2)) => dropWhile(X0,X3,cons(X0,X2,X1)) = dropWhile(X0,X3,X1)))),
% 5.10/1.09 inference(rectify,[],[f88])).
% 5.10/1.09 tff(f88,axiom,(
% 5.10/1.09 ! [X0 : $tType,X11 : list(X0),X28 : X0,X25 : fun(X0,bool)] : ((~pp(aa(X0,bool,X25,X28)) => cons(X0,X28,X11) = dropWhile(X0,X25,cons(X0,X28,X11))) & (pp(aa(X0,bool,X25,X28)) => dropWhile(X0,X25,X11) = dropWhile(X0,X25,cons(X0,X28,X11))))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_dropWhile_Osimps_I2_J)).
% 5.10/1.09 tff(f6184,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) = cons(X0,X2,sK8(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6178,f4313])).
% 5.10/1.09 tff(f6178,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) = cons(X0,X2,sK8(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))))) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f351,f4997])).
% 5.10/1.09 tff(f6183,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6176,f4313])).
% 5.10/1.09 tff(f6176,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))))) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f1927,f4997])).
% 5.10/1.09 tff(f6182,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6172,f326])).
% 5.10/1.09 tff(f6172,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f4997,f631])).
% 5.10/1.09 tff(f6171,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4997,f823])).
% 5.10/1.09 tff(f6170,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f4997,f2662])).
% 5.10/1.09 tff(f6181,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK7(X0,X3) = X2 | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6168,f328])).
% 5.10/1.09 tff(f6168,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK7(X0,rev(X0,rev(X0,X3))) = X2 | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4997,f823])).
% 5.10/1.09 tff(f6180,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK7(X0,rotate1(X0,X3)) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6165,f328])).
% 5.10/1.09 tff(f6165,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK7(X0,rotate1(X0,rev(X0,rev(X0,X3)))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4997,f823])).
% 5.10/1.09 tff(f6179,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK7(X0,rotate1(X0,cons(X0,X3,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6162,f328])).
% 5.10/1.09 tff(f6162,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK7(X0,rotate1(X0,cons(X0,X3,rev(X0,rev(X0,X2))))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4997,f823])).
% 5.10/1.09 tff(f4997,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sK7(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4387,f335])).
% 5.10/1.09 tff(f6160,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) = cons(X0,X2,sK4(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6154,f4313])).
% 5.10/1.09 tff(f6154,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) = cons(X0,X2,sK4(X0,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))))) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f347,f4968])).
% 5.10/1.09 tff(f6159,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6152,f4313])).
% 5.10/1.09 tff(f6152,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))))) | nil(X0) = rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.09 inference(superposition,[],[f1781,f4968])).
% 5.10/1.09 tff(f6158,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6150,f326])).
% 5.10/1.09 tff(f6150,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f4968,f631])).
% 5.10/1.09 tff(f6149,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4968,f823])).
% 5.10/1.09 tff(f6148,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f4968,f2662])).
% 5.10/1.09 tff(f6157,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK3(X0,X3) = X2 | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6146,f328])).
% 5.10/1.09 tff(f6146,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK3(X0,rev(X0,rev(X0,X3))) = X2 | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4968,f823])).
% 5.10/1.09 tff(f6156,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK3(X0,rotate1(X0,X3)) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6143,f328])).
% 5.10/1.09 tff(f6143,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (sK3(X0,rotate1(X0,rev(X0,rev(X0,X3)))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4968,f823])).
% 5.10/1.09 tff(f6155,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK3(X0,rotate1(X0,cons(X0,X3,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6140,f328])).
% 5.10/1.09 tff(f6140,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK3(X0,rotate1(X0,cons(X0,X3,rev(X0,rev(X0,X2))))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4968,f823])).
% 5.10/1.09 tff(f4968,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (sK3(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4385,f335])).
% 5.10/1.09 tff(f6135,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | rev(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4689,f823])).
% 5.10/1.09 tff(f6132,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4689,f641])).
% 5.10/1.09 tff(f6131,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4689,f641])).
% 5.10/1.09 tff(f6138,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6128,f328])).
% 5.10/1.09 tff(f6128,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4689,f823])).
% 5.10/1.09 tff(f4689,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f4688,f323])).
% 5.10/1.09 tff(f4688,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4684,f565])).
% 5.10/1.09 tff(f4684,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X2,nil(X0)))) | nil(X0) = X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4469,f2662])).
% 5.10/1.09 tff(f6120,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | cons(X0,X3,X4) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5323,f823])).
% 5.10/1.09 tff(f6116,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != X2 | rev(X0,X1) != cons(X0,X3,X4) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5323,f823])).
% 5.10/1.09 tff(f6111,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,X2) | cons(X0,X3,X4) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5323,f641])).
% 5.10/1.09 tff(f6110,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,X2) | cons(X0,X3,X4) != X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5323,f641])).
% 5.10/1.09 tff(f5323,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5313,f641])).
% 5.10/1.09 tff(f6109,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | ~null(X0,X4) | rev(X0,rotate1(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6102,f328])).
% 5.10/1.09 tff(f6102,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~null(X0,X4) | rev(X0,rotate1(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4487,f823])).
% 5.10/1.09 tff(f6099,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | ~null(X0,X4) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4487,f641])).
% 5.10/1.09 tff(f6098,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | ~null(X0,X4) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4487,f641])).
% 5.10/1.09 tff(f6108,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | ~null(X0,X4) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6095,f328])).
% 5.10/1.09 tff(f6095,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,rev(X0,X3))) != X4 | ~null(X0,X4) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4487,f823])).
% 5.10/1.09 tff(f6107,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rotate1(X0,X3)) != X4 | ~null(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6092,f328])).
% 5.10/1.09 tff(f6092,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rotate1(X0,rev(X0,rev(X0,X3)))) != X4 | ~null(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4487,f823])).
% 5.10/1.09 tff(f6090,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rotate1(X0,X1)) != X2 | ~null(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4487,f351])).
% 5.10/1.09 tff(f6089,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rotate1(X0,X1)) != X2 | ~null(X0,X2) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4487,f347])).
% 5.10/1.09 tff(f6085,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) != X4 | ~null(X0,X4)) )),
% 5.10/1.09 inference(superposition,[],[f4487,f430])).
% 5.10/1.09 tff(f4487,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rotate1(X0,cons(X0,X1,X2))) != X3 | ~null(X0,X3)) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4481,f328])).
% 5.10/1.09 tff(f4481,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,X3))) | rev(X0,rotate1(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4404,f823])).
% 5.10/1.09 tff(f6084,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (dropWhile(X0,X1,cons(X0,X2,X3)) = dropWhile(X0,X1,X3) | nil(X0) = takeWhile(X0,X1,cons(X0,X2,X4))) )),
% 5.10/1.09 inference(resolution,[],[f433,f436])).
% 5.10/1.09 tff(f433,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (~pp(aa(X0,bool,X3,X2)) | dropWhile(X0,X3,cons(X0,X2,X1)) = dropWhile(X0,X3,X1)) )),
% 5.10/1.09 inference(cnf_transformation,[],[f237])).
% 5.10/1.09 tff(f6083,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6082,f323])).
% 5.10/1.09 tff(f6082,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | cons(X0,X2,X3) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6076,f326])).
% 5.10/1.09 tff(f6076,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | cons(X0,X2,X3) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4483,f631])).
% 5.10/1.09 tff(f6081,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,X2) | cons(X0,X3,X4) != X1 | rev(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6075,f328])).
% 5.10/1.09 tff(f6075,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X2))) | cons(X0,X3,X4) != X1 | rev(X0,rotate1(X0,X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4483,f823])).
% 5.10/1.09 tff(f6080,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6079,f323])).
% 5.10/1.09 tff(f6079,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,nil(X0)) | cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6074,f565])).
% 5.10/1.09 tff(f6074,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X2,nil(X0)))) | cons(X0,X3,X4) != X1 | nil(X0) != rev(X0,rotate1(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f4483,f2662])).
% 5.10/1.09 tff(f6072,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,rev(X0,X2)) | cons(X0,X3,X4) != X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4483,f641])).
% 5.10/1.09 tff(f6071,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,rev(X0,X2)) | cons(X0,X3,X4) != X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4483,f641])).
% 5.10/1.09 tff(f6078,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,rev(X0,X2)) | cons(X0,X3,X4) != X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6068,f328])).
% 5.10/1.09 tff(f6068,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,rev(X0,X2)))) | cons(X0,X3,X4) != X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4483,f823])).
% 5.10/1.09 tff(f4483,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rotate1(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4472,f328])).
% 5.10/1.09 tff(f4472,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X3))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4404,f823])).
% 5.10/1.09 tff(f6063,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (X2 != X3 | ~null(X0,rev(X0,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6060,f328])).
% 5.10/1.09 tff(f6060,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | ~null(X0,rev(X0,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f6056,f823])).
% 5.10/1.09 tff(f6056,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,rev(X0,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6044,f4395])).
% 5.10/1.09 tff(f6044,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,insert(X0,X1,nil(X0))) != X2 | ~null(X0,rev(X0,X2))) )),
% 5.10/1.09 inference(superposition,[],[f4477,f335])).
% 5.10/1.09 tff(f6058,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | ~null(X0,rev(X0,X4)) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6053,f328])).
% 5.10/1.09 tff(f6053,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~null(X0,rev(X0,X4)) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4477,f823])).
% 5.10/1.09 tff(f6057,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,X3) != X4 | ~null(X0,rev(X0,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6050,f328])).
% 5.10/1.09 tff(f6050,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,rev(X0,rev(X0,X3))) != X4 | ~null(X0,rev(X0,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4477,f823])).
% 5.10/1.09 tff(f6048,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | ~null(X0,rev(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4477,f351])).
% 5.10/1.09 tff(f6047,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | ~null(X0,rev(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4477,f347])).
% 5.10/1.09 tff(f6043,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | ~null(X0,rev(X0,X4))) )),
% 5.10/1.09 inference(superposition,[],[f4477,f430])).
% 5.10/1.09 tff(f4477,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | ~null(X0,rev(X0,X3))) )),
% 5.10/1.09 inference(superposition,[],[f4404,f641])).
% 5.10/1.09 tff(f6037,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | last(X0,X4) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5603,f823])).
% 5.10/1.09 tff(f6034,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | last(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5603,f641])).
% 5.10/1.09 tff(f6033,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | last(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5603,f641])).
% 5.10/1.09 tff(f6040,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,X3) != X4 | last(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6031,f328])).
% 5.10/1.09 tff(f6031,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,rev(X0,X3))) != X4 | last(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5603,f823])).
% 5.10/1.09 tff(f6029,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | last(X0,X2) = sK7(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5603,f351])).
% 5.10/1.09 tff(f6028,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | last(X0,X2) = sK3(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5603,f347])).
% 5.10/1.09 tff(f6024,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | last(X0,X4) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5603,f430])).
% 5.10/1.09 tff(f5603,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) != X3 | last(X0,X3) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5594,f328])).
% 5.10/1.09 tff(f5594,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X3))) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5501,f823])).
% 5.10/1.09 tff(f6021,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | rotate1(X0,X3) = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5140,f823])).
% 5.10/1.09 tff(f5140,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | rotate1(X0,X2) = X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5122,f328])).
% 5.10/1.09 tff(f5122,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) = rotate1(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4395,f823])).
% 5.10/1.09 tff(f6018,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,X1,butlast(X0,X2))) | ~distinct(X0,append(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f6002,f416])).
% 5.10/1.09 tff(f6002,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,append(X0,X1,butlast(X0,X2))) | ~distinct(X0,append(X0,X1,X2)) | nil(X0) = append(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f346,f389])).
% 5.10/1.09 tff(f6015,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f6000,f326])).
% 5.10/1.09 tff(f6000,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f389,f631])).
% 5.10/1.09 tff(f5999,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,butlast(X0,X2)) = rev(X0,rev(X0,X3)) | nil(X0) = X2 | butlast(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f389,f823])).
% 5.10/1.09 tff(f6014,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5998,f565])).
% 5.10/1.09 tff(f5998,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,butlast(X0,X2)) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) = X2 | nil(X0) != butlast(X0,append(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f389,f2662])).
% 5.10/1.09 tff(f6011,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,butlast(X0,X2)) = butlast(X0,X3) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5995,f328])).
% 5.10/1.09 tff(f5995,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,butlast(X0,X2)) = butlast(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f389,f823])).
% 5.10/1.09 tff(f5993,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (butlast(X0,X2) = append(X0,takeWhile(X0,X1,X2),butlast(X0,dropWhile(X0,X1,X2))) | nil(X0) = dropWhile(X0,X1,X2)) )),
% 5.10/1.09 inference(superposition,[],[f389,f376])).
% 5.10/1.09 tff(f5991,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),butlast(X0,rev(X0,X2))) = butlast(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.09 inference(superposition,[],[f389,f378])).
% 5.10/1.09 tff(f6006,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (butlast(X0,append(X0,X1,append(X0,X2,X3))) = append(X0,X1,append(X0,X2,butlast(X0,X3))) | nil(X0) = X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5988,f429])).
% 5.10/1.09 tff(f5988,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,append(X0,X1,X2),butlast(X0,X3)) = butlast(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = X3) )),
% 5.10/1.09 inference(superposition,[],[f389,f429])).
% 5.10/1.09 tff(f389,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (butlast(X0,append(X0,X1,X2)) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(cnf_transformation,[],[f224])).
% 5.10/1.09 tff(f224,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((butlast(X0,append(X0,X1,X2)) = append(X0,X1,butlast(X0,X2)) | nil(X0) = X2) & (butlast(X0,X1) = butlast(X0,append(X0,X1,X2)) | nil(X0) != X2))),
% 5.10/1.09 inference(ennf_transformation,[],[f157])).
% 5.10/1.09 tff(f157,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) != X2 => butlast(X0,append(X0,X1,X2)) = append(X0,X1,butlast(X0,X2))) & (nil(X0) = X2 => butlast(X0,X1) = butlast(X0,append(X0,X1,X2))))),
% 5.10/1.09 inference(rectify,[],[f64])).
% 5.10/1.09 tff(f64,axiom,(
% 5.10/1.09 ! [X0 : $tType,X19 : list(X0),X22 : list(X0)] : ((nil(X0) != X22 => butlast(X0,append(X0,X19,X22)) = append(X0,X19,butlast(X0,X22))) & (nil(X0) = X22 => butlast(X0,X19) = butlast(X0,append(X0,X19,X22))))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_butlast__append)).
% 5.10/1.09 tff(f5981,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | cons(X0,X3,X4) != X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f4464,f823])).
% 5.10/1.09 tff(f4464,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4459,f328])).
% 5.10/1.09 tff(f4459,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4313,f823])).
% 5.10/1.09 tff(f5974,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | last(X0,X4) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4448,f823])).
% 5.10/1.09 tff(f5977,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,X3) != X4 | last(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5971,f328])).
% 5.10/1.09 tff(f5971,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,rev(X0,rev(X0,X3))) != X4 | last(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4448,f823])).
% 5.10/1.09 tff(f5969,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | last(X0,X2) = sK7(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4448,f351])).
% 5.10/1.09 tff(f5968,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | last(X0,X2) = sK3(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4448,f347])).
% 5.10/1.09 tff(f5965,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,insert(X0,X1,nil(X0))) != X2 | last(X0,X2) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4448,f335])).
% 5.10/1.09 tff(f5964,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4 | last(X0,X4) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4448,f430])).
% 5.10/1.09 tff(f4448,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != X3 | last(X0,X3) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4440,f328])).
% 5.10/1.09 tff(f4440,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X3))) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4312,f823])).
% 5.10/1.09 tff(f5961,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | last(X0,rotate1(X0,X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4445,f823])).
% 5.10/1.09 tff(f5959,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = last(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4445,f351])).
% 5.10/1.09 tff(f5958,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = last(X0,rotate1(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4445,f347])).
% 5.10/1.09 tff(f5955,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | last(X0,rotate1(X0,X2)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4445,f335])).
% 5.10/1.09 tff(f5954,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | last(X0,rotate1(X0,X4)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4445,f430])).
% 5.10/1.09 tff(f4445,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | last(X0,rotate1(X0,X3)) = X1) )),
% 5.10/1.09 inference(forward_demodulation,[],[f4437,f328])).
% 5.10/1.09 tff(f4437,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rotate1(X0,rev(X0,rev(X0,X3)))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4312,f823])).
% 5.10/1.09 tff(f5951,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | last(X0,rev(X0,X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5590,f823])).
% 5.10/1.09 tff(f5949,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5590,f351])).
% 5.10/1.09 tff(f5948,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5590,f347])).
% 5.10/1.09 tff(f5944,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | last(X0,rev(X0,X4)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5590,f430])).
% 5.10/1.09 tff(f5590,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | last(X0,rev(X0,X3)) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5501,f641])).
% 5.10/1.09 tff(f5943,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | cons(X0,X1,rotate1(X0,cons(X0,X2,cons(X0,X1,X3)))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5937,f328])).
% 5.10/1.09 tff(f5937,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | cons(X0,X1,rotate1(X0,cons(X0,X2,cons(X0,X1,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4804,f823])).
% 5.10/1.09 tff(f5942,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,cons(X0,X2,X4)) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5934,f328])).
% 5.10/1.09 tff(f5934,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,cons(X0,X2,rev(X0,rev(X0,X4)))) | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4804,f823])).
% 5.10/1.09 tff(f5941,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,cons(X0,X2,rotate1(X0,X4))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5931,f328])).
% 5.10/1.09 tff(f5931,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,cons(X0,X2,rotate1(X0,rev(X0,rev(X0,X4))))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f4804,f823])).
% 5.10/1.09 tff(f5940,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,cons(X0,X4,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5928,f328])).
% 5.10/1.09 tff(f5928,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3)))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f4804,f823])).
% 5.10/1.09 tff(f5926,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4804,f351])).
% 5.10/1.09 tff(f5925,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f4804,f347])).
% 5.10/1.09 tff(f5922,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))))) )),
% 5.10/1.09 inference(superposition,[],[f4804,f335])).
% 5.10/1.09 tff(f5939,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5921,f430])).
% 5.10/1.09 tff(f5921,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X1,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3)))))) )),
% 5.10/1.09 inference(superposition,[],[f4804,f430])).
% 5.10/1.09 tff(f4804,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f4798,f4313])).
% 5.10/1.09 tff(f4798,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f1813,f4381])).
% 5.10/1.09 tff(f5920,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5902,f326])).
% 5.10/1.09 tff(f5902,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f5586,f631])).
% 5.10/1.09 tff(f5901,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | last(list(X0),rev(list(X0),X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5586,f823])).
% 5.10/1.09 tff(f5919,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5900,f565])).
% 5.10/1.09 tff(f5900,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f5586,f2662])).
% 5.10/1.09 tff(f5918,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = sK7(X0,X1) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5898,f328])).
% 5.10/1.09 tff(f5898,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5586,f823])).
% 5.10/1.09 tff(f5917,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK7(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5896,f4313])).
% 5.10/1.09 tff(f5896,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK7(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5586,f5095])).
% 5.10/1.09 tff(f5895,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK7(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f5586,f328])).
% 5.10/1.09 tff(f5894,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = sK7(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5586,f823])).
% 5.10/1.09 tff(f5889,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5586,f641])).
% 5.10/1.09 tff(f5888,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5586,f641])).
% 5.10/1.09 tff(f5586,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,rev(X0,X1)) = sK7(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5501,f351])).
% 5.10/1.09 tff(f5887,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5873,f326])).
% 5.10/1.09 tff(f5873,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f5585,f631])).
% 5.10/1.09 tff(f5872,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | last(list(X0),rev(list(X0),X1)) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5585,f823])).
% 5.10/1.09 tff(f5886,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5871,f565])).
% 5.10/1.09 tff(f5871,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.09 inference(superposition,[],[f5585,f2662])).
% 5.10/1.09 tff(f5885,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = sK3(X0,X1) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5869,f328])).
% 5.10/1.09 tff(f5869,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.09 inference(superposition,[],[f5585,f823])).
% 5.10/1.09 tff(f5884,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK3(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5867,f4313])).
% 5.10/1.09 tff(f5867,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = sK3(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5585,f5095])).
% 5.10/1.09 tff(f5866,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = sK3(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f5585,f328])).
% 5.10/1.09 tff(f5865,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = sK3(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5585,f823])).
% 5.10/1.09 tff(f5860,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5585,f641])).
% 5.10/1.09 tff(f5859,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.09 inference(superposition,[],[f5585,f641])).
% 5.10/1.09 tff(f5585,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,rev(X0,X1)) = sK3(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5501,f347])).
% 5.10/1.09 tff(f5858,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5851,f326])).
% 5.10/1.09 tff(f5851,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f5759,f631])).
% 5.10/1.09 tff(f5850,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | last(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5759,f823])).
% 5.10/1.09 tff(f5849,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f5759,f2662])).
% 5.10/1.09 tff(f5857,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,X4) = X2 | cons(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5847,f328])).
% 5.10/1.09 tff(f5847,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X2 | cons(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5759,f823])).
% 5.10/1.09 tff(f5856,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,X3)) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5844,f328])).
% 5.10/1.09 tff(f5844,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5759,f823])).
% 5.10/1.09 tff(f5841,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5759,f641])).
% 5.10/1.09 tff(f5840,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5759,f641])).
% 5.10/1.09 tff(f5855,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5838,f328])).
% 5.10/1.09 tff(f5838,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5759,f823])).
% 5.10/1.09 tff(f5836,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = last(X0,cons(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5759,f351])).
% 5.10/1.09 tff(f5835,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = last(X0,cons(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5759,f347])).
% 5.10/1.09 tff(f5831,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5759,f430])).
% 5.10/1.09 tff(f5759,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,rev(X0,cons(X0,X2,X3)))) = X2) )),
% 5.10/1.09 inference(superposition,[],[f5506,f2164])).
% 5.10/1.09 tff(f5830,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,cons(X0,X1,butlast(X0,X2))) | ~distinct(X0,cons(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5822,f370])).
% 5.10/1.09 tff(f5822,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,cons(X0,X1,butlast(X0,X2))) | ~distinct(X0,cons(X0,X1,X2)) | nil(X0) = cons(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.09 inference(superposition,[],[f346,f383])).
% 5.10/1.09 tff(f5819,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,butlast(X0,X2)) = rev(X0,rev(X0,X3)) | nil(X0) = X2 | butlast(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f383,f823])).
% 5.10/1.09 tff(f5827,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = X2 | nil(X0) != butlast(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5826,f370])).
% 5.10/1.09 tff(f5826,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = X2 | nil(X0) != butlast(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5818,f565])).
% 5.10/1.09 tff(f5818,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X1,butlast(X0,X2)) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) = X2 | nil(X0) != butlast(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f383,f2662])).
% 5.10/1.09 tff(f5825,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,butlast(X0,X2)) = butlast(X0,X3) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5815,f328])).
% 5.10/1.09 tff(f5815,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,butlast(X0,X2)) = butlast(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f383,f823])).
% 5.10/1.09 tff(f5813,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = cons(X0,sK7(X0,X1),butlast(X0,sK8(X0,X1))) | nil(X0) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f383,f351])).
% 5.10/1.09 tff(f5812,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = cons(X0,sK3(X0,X1),butlast(X0,sK4(X0,X1))) | nil(X0) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f383,f347])).
% 5.10/1.09 tff(f5824,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5811,f4507])).
% 5.10/1.09 tff(f5811,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,sK8(X0,cons(X0,X1,X2)))) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f383,f2997])).
% 5.10/1.09 tff(f5823,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5810,f4506])).
% 5.10/1.09 tff(f5810,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,sK4(X0,cons(X0,X1,X2)))) | nil(X0) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f383,f2525])).
% 5.10/1.09 tff(f5808,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,butlast(X0,append(X0,X2,X3))) = butlast(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.09 inference(superposition,[],[f383,f430])).
% 5.10/1.09 tff(f383,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = X2) )),
% 5.10/1.09 inference(cnf_transformation,[],[f221])).
% 5.10/1.09 tff(f221,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,X2)) | nil(X0) = X2) & (nil(X0) = butlast(X0,cons(X0,X1,X2)) | nil(X0) != X2))),
% 5.10/1.09 inference(ennf_transformation,[],[f154])).
% 5.10/1.09 tff(f154,plain,(
% 5.10/1.09 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((nil(X0) != X2 => butlast(X0,cons(X0,X1,X2)) = cons(X0,X1,butlast(X0,X2))) & (nil(X0) = X2 => nil(X0) = butlast(X0,cons(X0,X1,X2))))),
% 5.10/1.09 inference(rectify,[],[f25])).
% 5.10/1.09 tff(f25,axiom,(
% 5.10/1.09 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : ((nil(X0) != X19 => butlast(X0,cons(X0,X6,X19)) = cons(X0,X6,butlast(X0,X19))) & (nil(X0) = X19 => nil(X0) = butlast(X0,cons(X0,X6,X19))))),
% 5.10/1.09 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_butlast_Osimps_I2_J)).
% 5.10/1.09 tff(f5807,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != last(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5799,f326])).
% 5.10/1.09 tff(f5799,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f5581,f631])).
% 5.10/1.09 tff(f5798,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | last(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5581,f823])).
% 5.10/1.09 tff(f5797,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != last(list(X0),rev(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f5581,f2662])).
% 5.10/1.09 tff(f5806,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,X4) = X1 | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5795,f328])).
% 5.10/1.09 tff(f5795,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X1 | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5581,f823])).
% 5.10/1.09 tff(f5792,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5581,f641])).
% 5.10/1.09 tff(f5791,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5581,f641])).
% 5.10/1.09 tff(f5805,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5789,f328])).
% 5.10/1.09 tff(f5789,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,rev(X0,X4)))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5581,f823])).
% 5.10/1.09 tff(f5804,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,append(X0,X3,X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5782,f328])).
% 5.10/1.09 tff(f5782,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,append(X0,rev(X0,rev(X0,X3)),X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5581,f823])).
% 5.10/1.09 tff(f5780,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,rev(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5581,f351])).
% 5.10/1.09 tff(f5779,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,rev(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5581,f347])).
% 5.10/1.09 tff(f5581,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5501,f430])).
% 5.10/1.09 tff(f5774,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5767,f326])).
% 5.10/1.09 tff(f5767,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f5506,f631])).
% 5.10/1.09 tff(f5766,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | last(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5506,f823])).
% 5.10/1.09 tff(f5765,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,rev(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.09 inference(superposition,[],[f5506,f2662])).
% 5.10/1.09 tff(f5773,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (last(X0,X4) = X2 | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5763,f328])).
% 5.10/1.09 tff(f5763,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X2 | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5506,f823])).
% 5.10/1.09 tff(f5761,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,append(X0,cons(X0,X2,X3),X1))) = X2) )),
% 5.10/1.09 inference(superposition,[],[f5506,f378])).
% 5.10/1.09 tff(f5758,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,append(X0,X1,append(X0,X2,rev(X0,cons(X0,X3,X4))))) = X3) )),
% 5.10/1.09 inference(superposition,[],[f5506,f429])).
% 5.10/1.09 tff(f5772,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,X3)) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5754,f328])).
% 5.10/1.09 tff(f5754,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,rev(X0,X3)))) = X1 | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5506,f823])).
% 5.10/1.09 tff(f5751,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5506,f641])).
% 5.10/1.09 tff(f5750,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5506,f641])).
% 5.10/1.09 tff(f5771,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5748,f328])).
% 5.10/1.09 tff(f5748,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5506,f823])).
% 5.10/1.09 tff(f5746,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5506,f351])).
% 5.10/1.09 tff(f5745,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,append(X0,X2,rev(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5506,f347])).
% 5.10/1.09 tff(f5741,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5506,f430])).
% 5.10/1.09 tff(f5506,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X3,rev(X0,cons(X0,X2,X1)))) = X2) )),
% 5.10/1.09 inference(superposition,[],[f2081,f4619])).
% 5.10/1.09 tff(f5736,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,X1,rev(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.09 inference(superposition,[],[f5505,f823])).
% 5.10/1.09 tff(f5731,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,rev(X0,cons(X0,X3,X4))))) )),
% 5.10/1.09 inference(superposition,[],[f5505,f429])).
% 5.10/1.09 tff(f5740,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,X3) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5727,f328])).
% 5.10/1.09 tff(f5727,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,rev(X0,X3))) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5505,f823])).
% 5.10/1.09 tff(f5724,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5505,f641])).
% 5.10/1.09 tff(f5723,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5505,f641])).
% 5.10/1.09 tff(f5739,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5721,f328])).
% 5.10/1.09 tff(f5721,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5505,f823])).
% 5.10/1.09 tff(f5719,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5505,f351])).
% 5.10/1.09 tff(f5714,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f5505,f430])).
% 5.10/1.09 tff(f5505,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.09 inference(superposition,[],[f2080,f4619])).
% 5.10/1.09 tff(f5713,plain,(
% 5.10/1.09 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,X0) | rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) != X0) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5709,f328])).
% 5.10/1.09 tff(f5709,plain,(
% 5.10/1.09 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) | rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) != X0) )),
% 5.10/1.09 inference(superposition,[],[f5678,f823])).
% 5.10/1.09 tff(f5706,plain,(
% 5.10/1.09 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.09 inference(superposition,[],[f5678,f641])).
% 5.10/1.09 tff(f5705,plain,(
% 5.10/1.09 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.09 inference(superposition,[],[f5678,f641])).
% 5.10/1.09 tff(f5712,plain,(
% 5.10/1.09 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5703,f328])).
% 5.10/1.09 tff(f5703,plain,(
% 5.10/1.09 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)))) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.09 inference(superposition,[],[f5678,f823])).
% 5.10/1.09 tff(f5678,plain,(
% 5.10/1.09 distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))))),
% 5.10/1.09 inference(resolution,[],[f5654,f1154])).
% 5.10/1.09 tff(f5681,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | distinct(X0,rev(X0,append(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f5654,f430])).
% 5.10/1.09 tff(f5654,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,X1)) | distinct(X0,rev(X0,X1))) )),
% 5.10/1.09 inference(resolution,[],[f5504,f358])).
% 5.10/1.09 tff(f5676,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,X3) | distinct(X0,rev(X0,X2)) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5668,f328])).
% 5.10/1.09 tff(f5668,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | distinct(X0,rev(X0,X2)) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5504,f823])).
% 5.10/1.09 tff(f5665,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,X3)) | distinct(X0,rev(X0,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5504,f641])).
% 5.10/1.09 tff(f5664,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,X3)) | distinct(X0,rev(X0,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5504,f641])).
% 5.10/1.09 tff(f5675,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,X3)) | distinct(X0,rev(X0,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5662,f328])).
% 5.10/1.09 tff(f5662,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,rev(X0,X3)))) | distinct(X0,rev(X0,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5504,f823])).
% 5.10/1.09 tff(f5660,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,rev(X0,X1)) | distinct(X0,rev(X0,sK8(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5504,f351])).
% 5.10/1.09 tff(f5659,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,rev(X0,X1)) | distinct(X0,rev(X0,sK4(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5504,f347])).
% 5.10/1.09 tff(f5655,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))) | distinct(X0,rev(X0,append(X0,X2,X3)))) )),
% 5.10/1.09 inference(superposition,[],[f5504,f430])).
% 5.10/1.09 tff(f5504,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,rev(X0,cons(X0,X2,X1))) | distinct(X0,rev(X0,X1))) )),
% 5.10/1.09 inference(superposition,[],[f1167,f4619])).
% 5.10/1.09 tff(f5651,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5642,f5313])).
% 5.10/1.09 tff(f5642,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,rev(X0,cons(X0,X1,X2))) | nil(X0) = rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.09 inference(superposition,[],[f346,f5503])).
% 5.10/1.09 tff(f5650,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,X2) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5641,f326])).
% 5.10/1.09 tff(f5641,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = rev(X0,X2) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5503,f631])).
% 5.10/1.09 tff(f5640,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = rev(X0,rev(X0,X3)) | butlast(X0,rev(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5503,f823])).
% 5.10/1.09 tff(f5649,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,X2) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5639,f565])).
% 5.10/1.09 tff(f5639,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rev(X0,X2) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) != butlast(X0,rev(X0,cons(X0,X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5503,f2662])).
% 5.10/1.09 tff(f5648,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = butlast(X0,X3) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5637,f328])).
% 5.10/1.09 tff(f5637,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = butlast(X0,rev(X0,rev(X0,X3))) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5503,f823])).
% 5.10/1.09 tff(f5634,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = butlast(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5503,f641])).
% 5.10/1.09 tff(f5633,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = butlast(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5503,f641])).
% 5.10/1.09 tff(f5647,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = butlast(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5631,f328])).
% 5.10/1.09 tff(f5631,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) = butlast(X0,rev(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5503,f823])).
% 5.10/1.09 tff(f5629,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,sK8(X0,X1)) = butlast(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5503,f351])).
% 5.10/1.09 tff(f5628,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,sK4(X0,X1)) = butlast(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.09 inference(superposition,[],[f5503,f347])).
% 5.10/1.09 tff(f5624,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,X3)) = butlast(X0,rev(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.09 inference(superposition,[],[f5503,f430])).
% 5.10/1.09 tff(f5503,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,X1) = butlast(X0,rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.09 inference(superposition,[],[f1049,f4619])).
% 5.10/1.09 tff(f5618,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != rev(X0,rev(X0,X3)) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5575,f823])).
% 5.10/1.09 tff(f5615,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5575,f641])).
% 5.10/1.09 tff(f5623,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != rev(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5612,f328])).
% 5.10/1.09 tff(f5612,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X2) != rev(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5575,f823])).
% 5.10/1.09 tff(f5605,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,X3)) != rev(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.09 inference(superposition,[],[f5575,f430])).
% 5.10/1.09 tff(f5575,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,X1) != rev(X0,cons(X0,X2,X1))) )),
% 5.10/1.09 inference(subsumption_resolution,[],[f5510,f569])).
% 5.10/1.09 tff(f5510,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,X1) != rev(X0,cons(X0,X2,X1)) | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.09 inference(superposition,[],[f407,f4619])).
% 5.10/1.09 tff(f5604,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != last(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5598,f326])).
% 5.10/1.09 tff(f5598,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5501,f631])).
% 5.10/1.09 tff(f5597,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | last(list(X0),rev(list(X0),cons(list(X0),X1,X2))) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5501,f823])).
% 5.10/1.09 tff(f5596,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != last(list(X0),rev(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.09 inference(superposition,[],[f5501,f2662])).
% 5.10/1.09 tff(f5591,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,X3)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5501,f641])).
% 5.10/1.09 tff(f5602,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,X3)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(forward_demodulation,[],[f5588,f328])).
% 5.10/1.09 tff(f5588,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,rev(X0,X3)))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.09 inference(superposition,[],[f5501,f823])).
% 5.10/1.09 tff(f5501,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rev(X0,cons(X0,X2,X1))) = X2) )),
% 5.10/1.09 inference(superposition,[],[f584,f4619])).
% 5.10/1.09 tff(f5557,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,rev(X0,X1)) = sK7(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3014,f4619])).
% 5.10/1.09 tff(f5556,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,rev(X0,X1)) = sK7(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f3013,f4619])).
% 5.10/1.09 tff(f5553,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rev(X0,cons(X0,X2,X1)),X3,X3) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f2716,f4619])).
% 5.10/1.09 tff(f5552,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,insert(X0,X2,nil(X0)),rev(X0,X1),rev(X0,cons(X0,X2,X1))) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2715,f4619])).
% 5.10/1.09 tff(f5551,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),X3,X3) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.09 inference(superposition,[],[f2714,f4619])).
% 5.10/1.09 tff(f5550,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),X3,rev(X0,cons(X0,X2,X1)),rev(X0,X1)) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2713,f4619])).
% 5.10/1.09 tff(f5548,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rev(X0,cons(X0,X2,X1)),X3,rev(X0,X1)) | nil(X0) != X3) )),
% 5.10/1.09 inference(superposition,[],[f2648,f4619])).
% 5.10/1.09 tff(f5546,plain,(
% 5.10/1.09 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),rev(X0,X1),X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2646,f4619])).
% 5.10/1.10 tff(f5544,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,rev(X0,X1)) = sK3(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2587,f4619])).
% 5.10/1.10 tff(f5543,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,rev(X0,X1)) = sK3(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2586,f4619])).
% 5.10/1.10 tff(f5541,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2570,f4619])).
% 5.10/1.10 tff(f5540,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,cons(X0,X2,X1))) | rev(X0,X1) != X3 | nil(X0) = X3) )),
% 5.10/1.10 inference(superposition,[],[f2321,f4619])).
% 5.10/1.10 tff(f5539,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != X3 | nil(X0) = rev(X0,X1) | ~null(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2237,f4619])).
% 5.10/1.10 tff(f5537,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,rev(X0,X1)) = hd(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2213,f4619])).
% 5.10/1.10 tff(f5536,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,rev(X0,X1)) = hd(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2212,f4619])).
% 5.10/1.10 tff(f5533,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rev(X0,cons(X0,X2,X1)),nil(X0),rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f607,f4619])).
% 5.10/1.10 tff(f5532,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,nil(X0),insert(X0,X2,nil(X0)),rev(X0,X1),rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f604,f4619])).
% 5.10/1.10 tff(f5531,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,rev(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),rev(X0,X1),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f599,f4619])).
% 5.10/1.10 tff(f5530,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),nil(X0),rev(X0,cons(X0,X2,X1)),rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f596,f4619])).
% 5.10/1.10 tff(f5529,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (sP2(X0,rev(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),cons(X0,X3,rev(X0,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f538,f4619])).
% 5.10/1.10 tff(f5528,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (sP1(X0,rev(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),cons(X0,X3,rev(X0,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f534,f4619])).
% 5.10/1.10 tff(f5578,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,cons(X0,X2,X3),rev(X0,X1),rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5527,f2164])).
% 5.10/1.10 tff(f5527,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,insert(X0,X2,nil(X0)),X3),rev(X0,X1),rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f4619])).
% 5.10/1.10 tff(f5526,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rev(X0,cons(X0,X2,X1)),X3,append(X0,X3,rev(X0,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f4619])).
% 5.10/1.10 tff(f5577,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,cons(X0,X2,X3),X3,rev(X0,cons(X0,X2,X1)),rev(X0,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5525,f2164])).
% 5.10/1.10 tff(f5525,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,insert(X0,X2,nil(X0)),X3),X3,rev(X0,cons(X0,X2,X1)),rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f530,f4619])).
% 5.10/1.10 tff(f5524,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),append(X0,X3,rev(X0,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f530,f4619])).
% 5.10/1.10 tff(f5523,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != cons(X0,X3,X4) | sP2(X0,X4,insert(X0,X2,nil(X0)),rev(X0,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f479,f4619])).
% 5.10/1.10 tff(f5522,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != cons(X0,X3,X4) | sP1(X0,X4,insert(X0,X2,nil(X0)),rev(X0,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f471,f4619])).
% 5.10/1.10 tff(f5521,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,X4) | sP0(X0,insert(X0,X2,nil(X0)),X4,X3,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f463,f4619])).
% 5.10/1.10 tff(f5520,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,X4) | sP0(X0,X4,insert(X0,X2,nil(X0)),rev(X0,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f463,f4619])).
% 5.10/1.10 tff(f5519,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != append(X0,rev(X0,X1),X3) | insert(X0,X2,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f4619])).
% 5.10/1.10 tff(f5518,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != append(X0,rev(X0,X1),X3) | insert(X0,X2,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f4619])).
% 5.10/1.10 tff(f5517,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X2,nil(X0))) | rev(X0,X1) = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f4619])).
% 5.10/1.10 tff(f5516,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X2,nil(X0))) | rev(X0,X1) = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f4619])).
% 5.10/1.10 tff(f5515,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (append(X0,cons(X0,X3,rev(X0,X1)),insert(X0,X2,nil(X0))) = cons(X0,X3,rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f430,f4619])).
% 5.10/1.10 tff(f5576,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,cons(X0,X2,X1)),X3) = append(X0,rev(X0,X1),cons(X0,X2,X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5514,f2164])).
% 5.10/1.10 tff(f5514,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),append(X0,insert(X0,X2,nil(X0)),X3)) = append(X0,rev(X0,cons(X0,X2,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f429,f4619])).
% 5.10/1.10 tff(f5511,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) != insert(X0,X2,nil(X0)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f409,f4619])).
% 5.10/1.10 tff(f5509,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (hd(X0,rev(X0,X1)) = hd(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f387,f4619])).
% 5.10/1.10 tff(f5574,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rev(X0,cons(X0,X2,X1))) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5573,f566])).
% 5.10/1.10 tff(f5573,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,insert(X0,X2,nil(X0))) = last(X0,rev(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5508,f569])).
% 5.10/1.10 tff(f5508,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,insert(X0,X2,nil(X0))) = last(X0,rev(X0,cons(X0,X2,X1))) | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f385,f4619])).
% 5.10/1.10 tff(f5507,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = rotate1(X0,cons(X0,X2,rev(X0,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f2238,f4619])).
% 5.10/1.10 tff(f5499,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = rev(X0,rev(X0,X3)) | append(X0,rev(X0,X1),insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4619,f823])).
% 5.10/1.10 tff(f5497,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f4619,f2570])).
% 5.10/1.10 tff(f5495,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = rotate1(X0,cons(X0,X2,rev(X0,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f4619,f2238])).
% 5.10/1.10 tff(f5572,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,rev(X0,X3),X2) = rev(X0,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5493,f328])).
% 5.10/1.10 tff(f5493,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,rev(X0,X3),rev(X0,rev(X0,X2))) = rev(X0,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4619,f823])).
% 5.10/1.10 tff(f5571,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5570,f332])).
% 5.10/1.10 tff(f5570,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = append(X0,nil(X0),insert(X0,X2,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5491,f326])).
% 5.10/1.10 tff(f5491,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = append(X0,rev(X0,nil(X0)),insert(X0,X2,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f4619,f631])).
% 5.10/1.10 tff(f5569,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) = rev(X0,cons(X0,X3,X1)) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5490,f328])).
% 5.10/1.10 tff(f5490,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,rev(X0,rev(X0,X2)),insert(X0,X3,nil(X0))) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4619,f823])).
% 5.10/1.10 tff(f5568,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (insert(X0,X3,nil(X0)) = rev(X0,cons(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5567,f332])).
% 5.10/1.10 tff(f5567,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,nil(X0),insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5489,f565])).
% 5.10/1.10 tff(f5489,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,butlast(X0,insert(X0,X2,nil(X0))),insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f4619,f2662])).
% 5.10/1.10 tff(f5566,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) = rev(X0,cons(X0,X3,rotate1(X0,cons(X0,X1,rev(X0,X2)))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5488,f2238])).
% 5.10/1.10 tff(f5488,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (append(X0,cons(X0,X1,X2),insert(X0,X3,nil(X0))) = rev(X0,cons(X0,X3,rotate1(X0,cons(X0,X1,rev(X0,X2)))))) )),
% 5.10/1.10 inference(superposition,[],[f4619,f5095])).
% 5.10/1.10 tff(f5565,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) = rev(X0,cons(X0,X2,rev(X0,X1)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5487,f2238])).
% 5.10/1.10 tff(f5487,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (append(X0,X1,insert(X0,X2,nil(X0))) = rev(X0,cons(X0,X2,rev(X0,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f4619,f328])).
% 5.10/1.10 tff(f5486,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X2,insert(X0,X3,nil(X0))) = rev(X0,cons(X0,X3,rev(X0,X1))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f4619,f823])).
% 5.10/1.10 tff(f5560,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = rev(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5483,f2164])).
% 5.10/1.10 tff(f5483,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),insert(X0,X2,nil(X0))) = rev(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f4619,f1383])).
% 5.10/1.10 tff(f5559,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5482,f332])).
% 5.10/1.10 tff(f5482,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = append(X0,nil(X0),insert(X0,X2,nil(X0))) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f4619,f583])).
% 5.10/1.10 tff(f5481,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,rev(X0,X2),insert(X0,X3,nil(X0))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f4619,f641])).
% 5.10/1.10 tff(f5480,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X3,X1)) = append(X0,rev(X0,X2),insert(X0,X3,nil(X0))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f4619,f641])).
% 5.10/1.10 tff(f4619,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = append(X0,rev(X0,X1),insert(X0,X2,nil(X0)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f379,f335])).
% 5.10/1.10 tff(f5477,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~null(X0,X5) | rotate1(X0,append(X0,cons(X0,X1,cons(X0,X2,X3)),X4)) != X5) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5470,f328])).
% 5.10/1.10 tff(f5470,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~null(X0,rev(X0,rev(X0,X5))) | rotate1(X0,append(X0,cons(X0,X1,cons(X0,X2,X3)),X4)) != X5) )),
% 5.10/1.10 inference(superposition,[],[f4596,f823])).
% 5.10/1.10 tff(f5476,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~null(X0,rotate1(X0,X5)) | append(X0,cons(X0,X1,cons(X0,X2,X3)),X4) != X5) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5467,f328])).
% 5.10/1.10 tff(f5467,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~null(X0,rotate1(X0,rev(X0,rev(X0,X5)))) | append(X0,cons(X0,X1,cons(X0,X2,X3)),X4) != X5) )),
% 5.10/1.10 inference(superposition,[],[f4596,f823])).
% 5.10/1.10 tff(f5465,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rotate1(X0,rotate1(X0,cons(X0,X4,cons(X0,X1,cons(X0,X2,X3))))))) )),
% 5.10/1.10 inference(superposition,[],[f4596,f2238])).
% 5.10/1.10 tff(f5475,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~null(X0,rotate1(X0,append(X0,X4,X5))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5460,f328])).
% 5.10/1.10 tff(f5460,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (~null(X0,rotate1(X0,append(X0,rev(X0,rev(X0,X4)),X5))) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4596,f823])).
% 5.10/1.10 tff(f5474,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X4,X3),X5))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5457,f328])).
% 5.10/1.10 tff(f5457,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X4,rev(X0,rev(X0,X3))),X5))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4596,f823])).
% 5.10/1.10 tff(f5455,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X2,X1),X3))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4596,f351])).
% 5.10/1.10 tff(f5454,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rotate1(X0,append(X0,cons(X0,X2,X1),X3))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4596,f347])).
% 5.10/1.10 tff(f4596,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4581,f430])).
% 5.10/1.10 tff(f4581,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4378,f430])).
% 5.10/1.10 tff(f5448,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5443,f326])).
% 5.10/1.10 tff(f5443,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f4375,f631])).
% 5.10/1.10 tff(f5442,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | hd(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4375,f823])).
% 5.10/1.10 tff(f5441,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f4375,f2662])).
% 5.10/1.10 tff(f5447,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (hd(X0,X3) = X2 | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5439,f328])).
% 5.10/1.10 tff(f5439,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (hd(X0,rev(X0,rev(X0,X3))) = X2 | rotate1(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4375,f823])).
% 5.10/1.10 tff(f5446,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (hd(X0,rotate1(X0,X3)) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5436,f328])).
% 5.10/1.10 tff(f5436,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (hd(X0,rotate1(X0,rev(X0,rev(X0,X3)))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4375,f823])).
% 5.10/1.10 tff(f5445,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (hd(X0,rotate1(X0,cons(X0,X3,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5433,f328])).
% 5.10/1.10 tff(f5433,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (hd(X0,rotate1(X0,cons(X0,X3,rev(X0,rev(X0,X2))))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4375,f823])).
% 5.10/1.10 tff(f4375,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (hd(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2210,f2238])).
% 5.10/1.10 tff(f5431,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5416,f326])).
% 5.10/1.10 tff(f5416,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(superposition,[],[f4435,f631])).
% 5.10/1.10 tff(f5415,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | last(list(X0),rotate1(list(X0),X1)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4435,f823])).
% 5.10/1.10 tff(f5430,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5414,f565])).
% 5.10/1.10 tff(f5414,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(superposition,[],[f4435,f2662])).
% 5.10/1.10 tff(f5429,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = sK7(X0,X1) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5412,f328])).
% 5.10/1.10 tff(f5412,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4435,f823])).
% 5.10/1.10 tff(f4435,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sK7(X0,X1) = last(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4312,f351])).
% 5.10/1.10 tff(f5408,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5397,f326])).
% 5.10/1.10 tff(f5397,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(superposition,[],[f4434,f631])).
% 5.10/1.10 tff(f5396,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | last(list(X0),rotate1(list(X0),X1)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4434,f823])).
% 5.10/1.10 tff(f5407,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5395,f565])).
% 5.10/1.10 tff(f5395,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),X1))) )),
% 5.10/1.10 inference(superposition,[],[f4434,f2662])).
% 5.10/1.10 tff(f5406,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = sK3(X0,X1) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5393,f328])).
% 5.10/1.10 tff(f5393,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4434,f823])).
% 5.10/1.10 tff(f4434,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = last(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4312,f347])).
% 5.10/1.10 tff(f5383,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | rev(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f5314,f823])).
% 5.10/1.10 tff(f5380,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f5314,f641])).
% 5.10/1.10 tff(f5379,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f5314,f641])).
% 5.10/1.10 tff(f5389,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5377,f328])).
% 5.10/1.10 tff(f5377,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f5314,f823])).
% 5.10/1.10 tff(f5388,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X3,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5370,f328])).
% 5.10/1.10 tff(f5370,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5314,f823])).
% 5.10/1.10 tff(f5368,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f5314,f351])).
% 5.10/1.10 tff(f5367,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f5314,f347])).
% 5.10/1.10 tff(f5314,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f5313,f430])).
% 5.10/1.10 tff(f5362,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,X3) | cons(X0,X1,cons(X0,X2,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5358,f328])).
% 5.10/1.10 tff(f5358,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,cons(X0,X2,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5332,f823])).
% 5.10/1.10 tff(f5361,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X3,X2)) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5355,f328])).
% 5.10/1.10 tff(f5355,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X3,rev(X0,rev(X0,X2)))) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5332,f823])).
% 5.10/1.10 tff(f5360,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X3,cons(X0,X1,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5352,f328])).
% 5.10/1.10 tff(f5352,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X3,cons(X0,X1,rev(X0,rev(X0,X2))))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5332,f823])).
% 5.10/1.10 tff(f5332,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,cons(X0,X2,cons(X0,X1,insert(X0,X1,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f5216,f335])).
% 5.10/1.10 tff(f5350,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5344,f328])).
% 5.10/1.10 tff(f5344,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f5216,f823])).
% 5.10/1.10 tff(f5349,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,X3)) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5341,f328])).
% 5.10/1.10 tff(f5341,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5216,f823])).
% 5.10/1.10 tff(f5348,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,cons(X0,X1,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5338,f328])).
% 5.10/1.10 tff(f5338,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,cons(X0,X1,rev(X0,rev(X0,X3))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5216,f823])).
% 5.10/1.10 tff(f5336,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,cons(X0,sK7(X0,X1),X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f5216,f351])).
% 5.10/1.10 tff(f5335,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,cons(X0,sK3(X0,X1),X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f5216,f347])).
% 5.10/1.10 tff(f5216,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))))) )),
% 5.10/1.10 inference(resolution,[],[f4388,f356])).
% 5.10/1.10 tff(f5327,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5313,f823])).
% 5.10/1.10 tff(f5324,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5313,f641])).
% 5.10/1.10 tff(f5330,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5321,f328])).
% 5.10/1.10 tff(f5321,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5313,f823])).
% 5.10/1.10 tff(f5313,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5284,f4313])).
% 5.10/1.10 tff(f5284,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,cons(X0,X1,X2)) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f772,f5095])).
% 5.10/1.10 tff(f5292,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | ~distinct(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) | distinct(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f1019,f5095])).
% 5.10/1.10 tff(f5291,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | distinct(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) | ~distinct(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f1018,f5095])).
% 5.10/1.10 tff(f5290,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (rev(X0,cons(X0,X1,X2)) != X3 | cons(X0,X4,X3) != rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f918,f5095])).
% 5.10/1.10 tff(f5289,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,cons(X0,X1,X2)) | nil(X0) != X3 | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f876,f5095])).
% 5.10/1.10 tff(f5287,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,X2)) | distinct(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f824,f5095])).
% 5.10/1.10 tff(f5286,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) = X3 | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f823,f5095])).
% 5.10/1.10 tff(f5282,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f641,f5095])).
% 5.10/1.10 tff(f5281,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f641,f5095])).
% 5.10/1.10 tff(f5280,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | rev(X0,X3) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f590,f5095])).
% 5.10/1.10 tff(f5278,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X3,nil(X0)) != cons(X0,X1,X2) | cons(X0,X3,nil(X0)) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f423,f5095])).
% 5.10/1.10 tff(f5277,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) = X3) )),
% 5.10/1.10 inference(superposition,[],[f421,f5095])).
% 5.10/1.10 tff(f5276,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) = X3) )),
% 5.10/1.10 inference(superposition,[],[f421,f5095])).
% 5.10/1.10 tff(f5275,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))),X3)) = append(X0,rev(X0,X3),cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f378,f5095])).
% 5.10/1.10 tff(f5274,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,append(X0,X3,rotate1(X0,cons(X0,X1,rev(X0,X2))))) = append(X0,cons(X0,X1,X2),rev(X0,X3))) )),
% 5.10/1.10 inference(superposition,[],[f378,f5095])).
% 5.10/1.10 tff(f5272,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,cons(X0,X1,X2)) | ~distinct(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.10 inference(superposition,[],[f358,f5095])).
% 5.10/1.10 tff(f5271,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,X2)) | distinct(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.10 inference(superposition,[],[f357,f5095])).
% 5.10/1.10 tff(f5312,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = hd(X0,rotate1(X0,cons(X0,X1,rev(X0,X2))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5270,f4313])).
% 5.10/1.10 tff(f5270,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = hd(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) | nil(X0) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f344,f5095])).
% 5.10/1.10 tff(f5268,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,cons(X0,X1,X2)) = rotate1(X0,cons(X0,X1,rev(X0,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f328,f5095])).
% 5.10/1.10 tff(f5263,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rev(X0,X3)) | rev(X0,rotate1(X0,cons(X0,X1,rev(X0,X2)))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5095,f823])).
% 5.10/1.10 tff(f5260,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5095,f641])).
% 5.10/1.10 tff(f5259,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5095,f641])).
% 5.10/1.10 tff(f5309,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,X3) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5257,f328])).
% 5.10/1.10 tff(f5257,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rev(X0,rev(X0,X3))) | rotate1(X0,cons(X0,X1,rev(X0,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5095,f823])).
% 5.10/1.10 tff(f5308,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rotate1(X0,X3)) | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5254,f328])).
% 5.10/1.10 tff(f5254,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,rev(X0,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f5095,f823])).
% 5.10/1.10 tff(f5307,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,insert(X0,X2,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5306,f4395])).
% 5.10/1.10 tff(f5306,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,rotate1(X0,insert(X0,X2,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5305,f335])).
% 5.10/1.10 tff(f5305,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,rotate1(X0,cons(X0,X2,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5252,f326])).
% 5.10/1.10 tff(f5252,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,rotate1(X0,cons(X0,X2,rev(X0,nil(X0))))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f5095,f631])).
% 5.10/1.10 tff(f5304,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,X2))) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5251,f328])).
% 5.10/1.10 tff(f5251,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,rev(X0,rev(X0,X2))))) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5095,f823])).
% 5.10/1.10 tff(f5303,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,insert(X0,X3,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5302,f4395])).
% 5.10/1.10 tff(f5302,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,insert(X0,X3,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5301,f335])).
% 5.10/1.10 tff(f5301,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,nil(X0)))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5250,f565])).
% 5.10/1.10 tff(f5250,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,butlast(X0,insert(X0,X2,nil(X0)))))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f5095,f2662])).
% 5.10/1.10 tff(f5249,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X3,rotate1(X0,cons(X0,X1,rev(X0,X2)))) = rev(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))))) )),
% 5.10/1.10 inference(superposition,[],[f5095,f5095])).
% 5.10/1.10 tff(f5248,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,rotate1(X0,cons(X0,X2,X1))) = cons(X0,X2,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f5095,f328])).
% 5.10/1.10 tff(f5247,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,rev(X0,X1)) = rev(X0,rotate1(X0,cons(X0,X3,X2))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f5095,f823])).
% 5.10/1.10 tff(f5298,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (insert(X0,X2,nil(X0)) = rev(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5245,f335])).
% 5.10/1.10 tff(f5245,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,nil(X0)) = rev(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f5095,f631])).
% 5.10/1.10 tff(f5244,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X2,insert(X0,X1,nil(X0))) = rev(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f5095,f1383])).
% 5.10/1.10 tff(f5297,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,insert(X0,X2,nil(X0))) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5296,f4395])).
% 5.10/1.10 tff(f5296,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,rotate1(X0,insert(X0,X2,nil(X0)))) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5243,f335])).
% 5.10/1.10 tff(f5243,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,rotate1(X0,cons(X0,X2,nil(X0)))) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f5095,f583])).
% 5.10/1.10 tff(f5242,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,rev(X0,X2)))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f5095,f641])).
% 5.10/1.10 tff(f5241,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X1) = rev(X0,rotate1(X0,cons(X0,X3,rev(X0,X2)))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f5095,f641])).
% 5.10/1.10 tff(f5095,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,rotate1(X0,cons(X0,X2,rev(X0,X1))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5094,f2238])).
% 5.10/1.10 tff(f5094,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,append(X0,rev(X0,X1),insert(X0,X2,nil(X0))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f520,f335])).
% 5.10/1.10 tff(f5240,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | rotate1(X0,cons(X0,X1,cons(X0,X2,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5233,f328])).
% 5.10/1.10 tff(f5233,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | rotate1(X0,cons(X0,X1,cons(X0,X2,cons(X0,X2,X3)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4388,f823])).
% 5.10/1.10 tff(f5239,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rotate1(X0,X4)) | cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5230,f328])).
% 5.10/1.10 tff(f5230,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rotate1(X0,rev(X0,rev(X0,X4)))) | cons(X0,X1,cons(X0,X2,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4388,f823])).
% 5.10/1.10 tff(f5238,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,X3))) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5227,f328])).
% 5.10/1.10 tff(f5227,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4388,f823])).
% 5.10/1.10 tff(f5237,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,cons(X0,X1,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5224,f328])).
% 5.10/1.10 tff(f5224,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,cons(X0,X1,rev(X0,rev(X0,X3)))))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4388,f823])).
% 5.10/1.10 tff(f5222,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,rotate1(X0,cons(X0,X2,cons(X0,sK7(X0,X1),X1)))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4388,f351])).
% 5.10/1.10 tff(f5221,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,rotate1(X0,cons(X0,X2,cons(X0,sK3(X0,X1),X1)))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4388,f347])).
% 5.10/1.10 tff(f5218,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X2,cons(X0,X1,insert(X0,X1,nil(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f4388,f335])).
% 5.10/1.10 tff(f5236,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,cons(X0,X1,X2))),X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5235,f430])).
% 5.10/1.10 tff(f5235,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,cons(X0,X1,X2)),X3))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5217,f430])).
% 5.10/1.10 tff(f5217,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X4,cons(X0,X1,append(X0,cons(X0,X1,X2),X3)))))) )),
% 5.10/1.10 inference(superposition,[],[f4388,f430])).
% 5.10/1.10 tff(f4388,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,cons(X0,X1,X2)))))) )),
% 5.10/1.10 inference(superposition,[],[f2172,f2238])).
% 5.10/1.10 tff(f5215,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X4,cons(X0,X1,X4),X2,X3) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5206,f328])).
% 5.10/1.10 tff(f5206,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X4,cons(X0,X1,X4),X2,rev(X0,rev(X0,X3))) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4402,f823])).
% 5.10/1.10 tff(f5214,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X4,cons(X0,X1,X4),X2,rotate1(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5203,f328])).
% 5.10/1.10 tff(f5203,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X4,cons(X0,X1,X4),X2,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4402,f823])).
% 5.10/1.10 tff(f5201,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,cons(X0,sK7(X0,X1),X2),sK8(X0,X1),rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4402,f351])).
% 5.10/1.10 tff(f5200,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,cons(X0,sK3(X0,X1),X2),sK4(X0,X1),rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4402,f347])).
% 5.10/1.10 tff(f5196,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X4,cons(X0,X1,X4),append(X0,X2,X3),rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f4402,f430])).
% 5.10/1.10 tff(f5210,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X2,X3,X4,rotate1(X0,cons(X0,X1,X4))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5194,f328])).
% 5.10/1.10 tff(f5194,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),X4,rotate1(X0,cons(X0,X1,X4))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4402,f823])).
% 5.10/1.10 tff(f5192,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,sK8(X0,X1),X1,X2,rotate1(X0,cons(X0,sK7(X0,X1),X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4402,f351])).
% 5.10/1.10 tff(f5191,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,sK4(X0,X1),X1,X2,rotate1(X0,cons(X0,sK3(X0,X1),X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4402,f347])).
% 5.10/1.10 tff(f5188,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,nil(X0),insert(X0,X1,nil(X0)),X2,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4402,f335])).
% 5.10/1.10 tff(f5187,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),X4,rotate1(X0,cons(X0,X1,X4)))) )),
% 5.10/1.10 inference(superposition,[],[f4402,f430])).
% 5.10/1.10 tff(f5186,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,rotate1(X0,cons(X0,X2,X1)),X3) = append(X0,X1,cons(X0,X2,X3))) )),
% 5.10/1.10 inference(resolution,[],[f4402,f464])).
% 5.10/1.10 tff(f4402,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,cons(X0,X2,X3),X1,rotate1(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4337,f2164])).
% 5.10/1.10 tff(f4337,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,insert(X0,X2,nil(X0)),X3),X1,rotate1(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f2238])).
% 5.10/1.10 tff(f5185,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,cons(X0,X1,X4),X4,X3,X2) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5176,f328])).
% 5.10/1.10 tff(f5176,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,cons(X0,X1,X4),X4,rev(X0,rev(X0,X3)),X2) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4401,f823])).
% 5.10/1.10 tff(f5184,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,cons(X0,X1,X4),X4,rotate1(X0,X3),X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5173,f328])).
% 5.10/1.10 tff(f5173,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,cons(X0,X1,X4),X4,rotate1(X0,rev(X0,rev(X0,X3))),X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4401,f823])).
% 5.10/1.10 tff(f5171,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,cons(X0,sK7(X0,X1),X2),X2,rotate1(X0,X1),sK8(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4401,f351])).
% 5.10/1.10 tff(f5170,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,cons(X0,sK3(X0,X1),X2),X2,rotate1(X0,X1),sK4(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4401,f347])).
% 5.10/1.10 tff(f5166,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,cons(X0,X1,X4),X4,rotate1(X0,append(X0,cons(X0,X1,X2),X3)),append(X0,X2,X3))) )),
% 5.10/1.10 inference(superposition,[],[f4401,f430])).
% 5.10/1.10 tff(f5180,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,X3,X2,rotate1(X0,cons(X0,X1,X4)),X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5164,f328])).
% 5.10/1.10 tff(f5164,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,rotate1(X0,cons(X0,X1,X4)),X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4401,f823])).
% 5.10/1.10 tff(f5162,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,sK8(X0,X1),rotate1(X0,cons(X0,sK7(X0,X1),X2)),X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4401,f351])).
% 5.10/1.10 tff(f5161,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,sK4(X0,X1),rotate1(X0,cons(X0,sK3(X0,X1),X2)),X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4401,f347])).
% 5.10/1.10 tff(f5158,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,insert(X0,X1,nil(X0)),nil(X0),rotate1(X0,cons(X0,X1,X2)),X2)) )),
% 5.10/1.10 inference(superposition,[],[f4401,f335])).
% 5.10/1.10 tff(f5157,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP0(X0,append(X0,cons(X0,X1,X2),X3),append(X0,X2,X3),rotate1(X0,cons(X0,X1,X4)),X4)) )),
% 5.10/1.10 inference(superposition,[],[f4401,f430])).
% 5.10/1.10 tff(f5156,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,rotate1(X0,cons(X0,X1,X2)),X3) = append(X0,X2,cons(X0,X1,X3))) )),
% 5.10/1.10 inference(resolution,[],[f4401,f464])).
% 5.10/1.10 tff(f4401,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,cons(X0,X2,X3),X3,rotate1(X0,cons(X0,X2,X1)),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4335,f2164])).
% 5.10/1.10 tff(f4335,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,insert(X0,X2,nil(X0)),X3),X3,rotate1(X0,cons(X0,X2,X1)),X1)) )),
% 5.10/1.10 inference(superposition,[],[f530,f2238])).
% 5.10/1.10 tff(f5152,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X2)) | rev(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5127,f823])).
% 5.10/1.10 tff(f5149,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5127,f641])).
% 5.10/1.10 tff(f5148,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5127,f641])).
% 5.10/1.10 tff(f5155,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5145,f328])).
% 5.10/1.10 tff(f5145,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f5127,f823])).
% 5.10/1.10 tff(f5127,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != rev(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f4635,f4395])).
% 5.10/1.10 tff(f5125,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,rev(X0,X2)) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4395,f823])).
% 5.10/1.10 tff(f4395,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = rotate1(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4308,f335])).
% 5.10/1.10 tff(f4308,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = rotate1(X0,cons(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2238,f332])).
% 5.10/1.10 tff(f5116,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X2)) | rev(X0,rotate1(X0,insert(X0,X1,nil(X0)))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4635,f823])).
% 5.10/1.10 tff(f5113,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X2) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4635,f641])).
% 5.10/1.10 tff(f5112,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X2) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4635,f641])).
% 5.10/1.10 tff(f5120,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,X2) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5110,f328])).
% 5.10/1.10 tff(f5110,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,rev(X0,X2))) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4635,f823])).
% 5.10/1.10 tff(f5119,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,X2)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5107,f328])).
% 5.10/1.10 tff(f5107,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,rev(X0,rev(X0,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4635,f823])).
% 5.10/1.10 tff(f4635,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4634,f323])).
% 5.10/1.10 tff(f4634,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4629,f565])).
% 5.10/1.10 tff(f4629,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~null(X0,butlast(X0,insert(X0,X2,nil(X0)))) | nil(X0) != rev(X0,rotate1(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f4466,f2662])).
% 5.10/1.10 tff(f5103,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK8(X0,X4) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4545,f823])).
% 5.10/1.10 tff(f5101,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK8(X0,X1) = sK8(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4545,f351])).
% 5.10/1.10 tff(f5100,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK4(X0,X1) = sK8(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4545,f347])).
% 5.10/1.10 tff(f5099,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,cons(X0,X1,X2)) = sK8(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4545,f2997])).
% 5.10/1.10 tff(f5098,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,cons(X0,X1,X2)) = sK8(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4545,f2525])).
% 5.10/1.10 tff(f5097,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) = sK8(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f4545,f335])).
% 5.10/1.10 tff(f5096,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | append(X0,X2,X3) = sK8(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f4545,f430])).
% 5.10/1.10 tff(f4545,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,X3) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4535,f328])).
% 5.10/1.10 tff(f4535,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK8(X0,rev(X0,rev(X0,X3))) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4507,f823])).
% 5.10/1.10 tff(f5091,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK4(X0,X4) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4527,f823])).
% 5.10/1.10 tff(f5089,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK8(X0,X1) = sK4(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4527,f351])).
% 5.10/1.10 tff(f5088,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK4(X0,X1) = sK4(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4527,f347])).
% 5.10/1.10 tff(f5087,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,cons(X0,X1,X2)) = sK4(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4527,f2997])).
% 5.10/1.10 tff(f5086,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,cons(X0,X1,X2)) = sK4(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4527,f2525])).
% 5.10/1.10 tff(f5085,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) = sK4(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f4527,f335])).
% 5.10/1.10 tff(f5084,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | append(X0,X2,X3) = sK4(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f4527,f430])).
% 5.10/1.10 tff(f4527,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,X3) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4517,f328])).
% 5.10/1.10 tff(f4517,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK4(X0,rev(X0,rev(X0,X3))) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4506,f823])).
% 5.10/1.10 tff(f5077,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f5071])).
% 5.10/1.10 tff(f5071,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f351,f4515])).
% 5.10/1.10 tff(f5083,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5066,f326])).
% 5.10/1.10 tff(f5066,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f4515,f631])).
% 5.10/1.10 tff(f5065,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK4(X0,X1) = rev(X0,rev(X0,X2)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4515,f823])).
% 5.10/1.10 tff(f5082,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = sK4(X0,X1) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5064,f565])).
% 5.10/1.10 tff(f5064,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK4(X0,X1) = butlast(X0,insert(X0,X2,nil(X0))) | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f4515,f2662])).
% 5.10/1.10 tff(f4515,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sK4(X0,X1) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4506,f351])).
% 5.10/1.10 tff(f5061,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5060,f323])).
% 5.10/1.10 tff(f5060,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5051,f326])).
% 5.10/1.10 tff(f5051,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,nil(X0))) | nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f4465,f631])).
% 5.10/1.10 tff(f5059,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,X4) | rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5050,f328])).
% 5.10/1.10 tff(f5050,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X4))) | rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4465,f823])).
% 5.10/1.10 tff(f5058,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5057,f323])).
% 5.10/1.10 tff(f5057,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5049,f565])).
% 5.10/1.10 tff(f5049,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~null(X0,butlast(X0,insert(X0,X4,nil(X0)))) | nil(X0) != rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f4465,f2662])).
% 5.10/1.10 tff(f5047,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,X4)) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4465,f641])).
% 5.10/1.10 tff(f5046,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,X4)) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4465,f641])).
% 5.10/1.10 tff(f5056,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,X4)) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5044,f328])).
% 5.10/1.10 tff(f5044,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,rev(X0,X4)))) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4465,f823])).
% 5.10/1.10 tff(f5055,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5041,f328])).
% 5.10/1.10 tff(f5041,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,rev(X0,rev(X0,X4))))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4465,f823])).
% 5.10/1.10 tff(f5054,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,append(X0,X3,X4)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5034,f328])).
% 5.10/1.10 tff(f5034,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4465,f823])).
% 5.10/1.10 tff(f5032,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,append(X0,X1,X2)))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4465,f351])).
% 5.10/1.10 tff(f4465,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4404,f430])).
% 5.10/1.10 tff(f5026,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) = cons(X0,X2,sK8(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5019,f4313])).
% 5.10/1.10 tff(f5019,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) = cons(X0,X2,sK8(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f351,f4387])).
% 5.10/1.10 tff(f5025,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f5017,f4313])).
% 5.10/1.10 tff(f5017,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f1927,f4387])).
% 5.10/1.10 tff(f5024,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5013,f326])).
% 5.10/1.10 tff(f5013,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4387,f631])).
% 5.10/1.10 tff(f5012,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4387,f823])).
% 5.10/1.10 tff(f5011,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != sK7(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4387,f2662])).
% 5.10/1.10 tff(f5023,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK7(X0,X4) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5009,f328])).
% 5.10/1.10 tff(f5009,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK7(X0,rev(X0,rev(X0,X4))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4387,f823])).
% 5.10/1.10 tff(f5022,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK7(X0,rotate1(X0,X4)) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5006,f328])).
% 5.10/1.10 tff(f5006,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK7(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4387,f823])).
% 5.10/1.10 tff(f5021,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK7(X0,rotate1(X0,cons(X0,X4,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f5003,f328])).
% 5.10/1.10 tff(f5003,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK7(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4387,f823])).
% 5.10/1.10 tff(f5001,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4387,f351])).
% 5.10/1.10 tff(f5000,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4387,f347])).
% 5.10/1.10 tff(f5020,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK7(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4996,f430])).
% 5.10/1.10 tff(f4996,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK7(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4387,f430])).
% 5.10/1.10 tff(f4387,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK7(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2983,f2238])).
% 5.10/1.10 tff(f4995,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) = cons(X0,X2,sK4(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4988,f4313])).
% 5.10/1.10 tff(f4988,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) = cons(X0,X2,sK4(X0,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f347,f4385])).
% 5.10/1.10 tff(f4994,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4986,f4313])).
% 5.10/1.10 tff(f4986,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X2,rotate1(X0,cons(X0,X1,cons(X0,X2,X3))))) | nil(X0) = rotate1(X0,cons(X0,X1,cons(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f1781,f4385])).
% 5.10/1.10 tff(f4993,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4984,f326])).
% 5.10/1.10 tff(f4984,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4385,f631])).
% 5.10/1.10 tff(f4983,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4385,f823])).
% 5.10/1.10 tff(f4982,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != sK3(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4385,f2662])).
% 5.10/1.10 tff(f4992,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK3(X0,X4) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4980,f328])).
% 5.10/1.10 tff(f4980,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK3(X0,rev(X0,rev(X0,X4))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4385,f823])).
% 5.10/1.10 tff(f4991,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK3(X0,rotate1(X0,X4)) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4977,f328])).
% 5.10/1.10 tff(f4977,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK3(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4385,f823])).
% 5.10/1.10 tff(f4990,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK3(X0,rotate1(X0,cons(X0,X4,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4974,f328])).
% 5.10/1.10 tff(f4974,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK3(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4385,f823])).
% 5.10/1.10 tff(f4972,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4385,f351])).
% 5.10/1.10 tff(f4971,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4385,f347])).
% 5.10/1.10 tff(f4989,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK3(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4967,f430])).
% 5.10/1.10 tff(f4967,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (sK3(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4385,f430])).
% 5.10/1.10 tff(f4385,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sK3(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2513,f2238])).
% 5.10/1.10 tff(f4966,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | distinct(X0,X2) | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4961,f328])).
% 5.10/1.10 tff(f4961,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | distinct(X0,X2) | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4580,f823])).
% 5.10/1.10 tff(f4959,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,sK8(X0,X1)) | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4580,f351])).
% 5.10/1.10 tff(f4958,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,sK4(X0,X1)) | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4580,f347])).
% 5.10/1.10 tff(f4954,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | distinct(X0,append(X0,X2,X3)) | ~distinct(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f4580,f430])).
% 5.10/1.10 tff(f4580,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | distinct(X0,X2) | ~distinct(X0,X3)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4576,f328])).
% 5.10/1.10 tff(f4576,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | distinct(X0,X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4548,f823])).
% 5.10/1.10 tff(f4951,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,X1) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4948,f328])).
% 5.10/1.10 tff(f4948,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4574,f823])).
% 5.10/1.10 tff(f4574,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK8(X0,X1)) | ~distinct(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4548,f351])).
% 5.10/1.10 tff(f4942,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,X1) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4939,f328])).
% 5.10/1.10 tff(f4939,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4573,f823])).
% 5.10/1.10 tff(f4573,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,sK4(X0,X1)) | ~distinct(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4548,f347])).
% 5.10/1.10 tff(f4933,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | rotate1(X0,X4) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4427,f823])).
% 5.10/1.10 tff(f4931,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK8(X0,X1) != rotate1(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4427,f351])).
% 5.10/1.10 tff(f4930,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK4(X0,X1) != rotate1(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4427,f347])).
% 5.10/1.10 tff(f4929,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,cons(X0,X1,X2)) != rotate1(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4427,f2997])).
% 5.10/1.10 tff(f4928,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,cons(X0,X1,X2)) != rotate1(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4427,f2525])).
% 5.10/1.10 tff(f4927,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) != rotate1(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f4427,f335])).
% 5.10/1.10 tff(f4926,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | append(X0,X2,X3) != rotate1(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f4427,f430])).
% 5.10/1.10 tff(f4427,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | rotate1(X0,X3) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4422,f328])).
% 5.10/1.10 tff(f4422,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rotate1(X0,rev(X0,rev(X0,X3))) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4398,f823])).
% 5.10/1.10 tff(f4925,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4919,f326])).
% 5.10/1.10 tff(f4919,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4751,f631])).
% 5.10/1.10 tff(f4918,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | last(list(X0),cons(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4751,f823])).
% 5.10/1.10 tff(f4917,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4751,f2662])).
% 5.10/1.10 tff(f4924,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,X4) = X2 | cons(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4915,f328])).
% 5.10/1.10 tff(f4915,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X2 | cons(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4751,f823])).
% 5.10/1.10 tff(f4923,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,X3)) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4912,f328])).
% 5.10/1.10 tff(f4912,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4751,f823])).
% 5.10/1.10 tff(f4922,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rotate1(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4909,f328])).
% 5.10/1.10 tff(f4909,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rotate1(X0,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4751,f823])).
% 5.10/1.10 tff(f4907,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = last(X0,cons(X0,X2,rotate1(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4751,f351])).
% 5.10/1.10 tff(f4906,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = last(X0,cons(X0,X2,rotate1(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4751,f347])).
% 5.10/1.10 tff(f4903,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (last(X0,cons(X0,X2,rotate1(X0,insert(X0,X1,nil(X0))))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4751,f335])).
% 5.10/1.10 tff(f4902,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4751,f430])).
% 5.10/1.10 tff(f4751,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,rotate1(X0,cons(X0,X2,X3)))) = X2) )),
% 5.10/1.10 inference(superposition,[],[f4317,f2164])).
% 5.10/1.10 tff(f4901,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,X3) | nil(X0) = X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4896,f328])).
% 5.10/1.10 tff(f4896,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4344,f823])).
% 5.10/1.10 tff(f4900,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rotate1(X0,X3)) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4893,f328])).
% 5.10/1.10 tff(f4893,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rotate1(X0,rev(X0,rev(X0,X3)))) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4344,f823])).
% 5.10/1.10 tff(f4891,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rotate1(X0,X1)) | nil(X0) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4344,f351])).
% 5.10/1.10 tff(f4890,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rotate1(X0,X1)) | nil(X0) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4344,f347])).
% 5.10/1.10 tff(f4886,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.10 inference(superposition,[],[f4344,f430])).
% 5.10/1.10 tff(f4344,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2179,f2238])).
% 5.10/1.10 tff(f4881,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,rev(X0,X2)) | butlast(X0,rotate1(X0,insert(X0,X1,nil(X0)))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4491,f823])).
% 5.10/1.10 tff(f4885,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,X2) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4878,f328])).
% 5.10/1.10 tff(f4878,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,rev(X0,rev(X0,X2))) | rotate1(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4491,f823])).
% 5.10/1.10 tff(f4884,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,rotate1(X0,X2)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4875,f328])).
% 5.10/1.10 tff(f4875,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,rotate1(X0,rev(X0,rev(X0,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4491,f823])).
% 5.10/1.10 tff(f4491,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) = butlast(X0,rotate1(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f4314,f335])).
% 5.10/1.10 tff(f4868,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4452,f823])).
% 5.10/1.10 tff(f4873,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,X4) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4865,f328])).
% 5.10/1.10 tff(f4865,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4452,f823])).
% 5.10/1.10 tff(f4872,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,append(X0,X3,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4858,f328])).
% 5.10/1.10 tff(f4858,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4452,f823])).
% 5.10/1.10 tff(f4856,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rotate1(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4452,f351])).
% 5.10/1.10 tff(f4452,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f4313,f430])).
% 5.10/1.10 tff(f4850,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4840,f326])).
% 5.10/1.10 tff(f4840,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f4430,f631])).
% 5.10/1.10 tff(f4839,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | last(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4430,f823])).
% 5.10/1.10 tff(f4838,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f4430,f2662])).
% 5.10/1.10 tff(f4849,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f434,f433,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229,f2179,f2231,f2234,f2172,f2242,f2243,f2253,f2254,f2255,f2200,f2261,f2259,f2210,f2272,f2273,f2267,f2274,f2276,f2133,f2287,f2279,f2280,f2288,f2284,f2286,f2293,f2240,f2303,f2304,f2305,f455,f2306,f2307,f2308,f2309,f2316,f2317,f2187,f2319,f2320,f2322,f2326,f2188,f2327,f2329,f2330,f2338,f2339,f2164,f2384,f2343,f2351,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2377,f2380,f2382,f2383,f2379,f2396,f2397,f2392,f2398,f2201,f2401,f2402,f2414,f2415,f2410,f2367,f2417,f2418,f2419,f2424,f2425,f2368,f2427,f2428,f2429,f2434,f2435,f2369,f2444,f2439,f2440,f2441,f2445,f2370,f2447,f2448,f2449,f2454,f2455,f463,f2457,f2458,f2460,f2461,f2473,f2474,f2465,f2466,f2468,f2469,f2475,f2476,f2196,f2480,f2212,f2484,f2487,f2488,f2504,f2491,f2505,f2507,f2508,f2509,f2511,f2506,f2512,f2517,f2524,f2503,f2528,f2535,f2536,f464,f2542,f2543,f2544,f2545,f2546,f2547,f2574,f2552,f2555,f2558,f2561,f2562,f2565,f2580,f2513,f2593,f2603,f2606,f2514,f2607,f2617,f2613,f2523,f2618,f2619,f2620,f2621,f2622,f2570,f2626,f2628,f2630,f2638,f2639,f2640,f2641,f2642,f2643,f2644,f2667,f2668,f2669,f2671,f2672,f2688,f2689,f2571,f2693,f2694,f2696,f2698,f2705,f2707,f2708,f2709,f2710,f2711,f2712,f2735,f2736,f2737,f2739,f2740,f2741,f2757,f2758,f2651,f2653,f2720,f2722,f471,f2769,f2770,f2771,f2772,f2774,f2775,f2784,f2778,f2779,f2780,f2781,f2786,f2534,f2787,f2645,f2790,f2793,f2794,f2795,f2797,f2798,f2803,f2805,f2646,f2808,f2809,f2810,f2811,f2813,f2814,f2817,f2818,f2647,f2819,f2822,f2823,f2824,f2826,f2827,f2832,f2834,f2648,f2837,f2838,f2839,f2840,f2842,f2843,f2846,f2847,f2649,f2849,f2850,f2851,f2855,f2650,f2857,f2858,f2859,f2863,f2713,f2866,f2867,f2868,f2869,f2871,f2872,f2875,f2876,f2714,f2877,f2879,f2881,f2884,f2885,f2890,f2892,f2715,f2895,f2896,f2897,f2898,f2900,f2901,f2904,f2905,f472,f2909,f2910,f2911,f2912,f2716,f2916,f2918,f2920,f2923,f2924,f2929,f2931,f2717,f2933,f2934,f2935,f2936,f2939,f2718,f2940,f2941,f2942,f2943,f2946,f2213,f2950,f2953,f2954,f2974,f2957,f2975,f2977,f2978,f2979,f2981,f2976,f2982,f2987,f2996,f2973,f3000,f3009,f3010,f2983,f3032,f3033,f3022,f3034,f3037,f479,f3038,f3039,f3040,f3041,f3054,f3045,f3046,f3047,f3048,f3050,f3051,f3055,f2995,f3057,f3058,f3059,f3060,f3061,f3008,f3064,f2374,f3082,f3083,f3073,f3084,f3085,f3078,f3086,f2375,f3098,f3099,f3093,f3096,f2233,f3103,f3117,f3110,f3111,f3120,f3121,f3123,f3074,f3134,f3135,f3136,f3130,f3137,f2209,f3139,f3140,f3141,f3144,f3145,f3146,f3138,f3149,f3152,f2225,f3155,f3156,f3157,f3158,f3159,f2226,f3162,f3163,f3164,f3165,f3174,f3171,f480,f3178,f3179,f3181,f3182,f2237,f3189,f3192,f3193,f3197,f2295,f3198,f2525,f3201,f3202,f3205,f3267,f3268,f3270,f3210,f3216,f3217,f3220,f3221,f3224,f3225,f3227,f3228,f3229,f3230,f3231,f3232,f3239,f3240,f3242,f3251,f3252,f3253,f3254,f3258,f3259,f3260,f3261,f3266,f3213,f3273,f3279,f3281,f3284,f3286,f3287,f3288,f3272,f3295,f3293,f3283,f3297,f2997,f3300,f3301,f3304,f3370,f3371,f3373,f3310,f3316,f3317,f3320,f3321,f3324,f3325,f3327,f3328,f3329,f3330,f3331,f3332,f3339,f3340,f3342,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3369,f3313,f3375,f3383,f3385,f3387,f3391,f3392,f3393,f3376,f3400,f3398,f3388,f3402,f3104,f3405,f3407,f3408,f3409,f3410,f3418,f3413,f3414,f3419,f3421,f3107,f3422,f3423,f3432,f3428,f3429,f3437,f3439,f3119,f3443,f3450,f3447,f3448,f2321,f3454,f3457,f3458,f3461,f3463,f2586,f3465,f3468,f3469,f3482,f3472,f3483,f3485,f3486,f2587,f3490,f3493,f3494,f3511,f3497,f3512,f3514,f3515,f2601,f3516,f3517,f3520,f3521,f3522,f2602,f3525,f3526,f3529,f3530,f3539,f3536,f2629,f3543,f3545,f3548,f3550,f3554,f3555,f3556,f3557,f3558,f3559,f3560,f3561,f3562,f3563,f2662,f3979,f3577,f3981,f3983,f3984,f3985,f3986,f3987,f3988,f3989,f3992,f3993,f3994,f3995,f3996,f3997,f4003,f4004,f4005,f4007,f4008,f4010,f4011,f4012,f4014,f4015,f4017,f3637,f3638,f4018,f4019,f4020,f4021,f4022,f3662,f3663,f4023,f3665,f3667,f4025,f4029,f4031,f4032,f4034,f4035,f4036,f4037,f4038,f4039,f4040,f4053,f4055,f4056,f4057,f3857,f4058,f4059,f4062,f4064,f4070,f4072,f4075,f3876,f4076,f3878,f3879,f3888,f3890,f4081,f3895,f4085,f4086,f4088,f4089,f4091,f4093,f4094,f4095,f4096,f4097,f3911,f3912,f4102,f4105,f3917,f3918,f4107,f4110,f4112,f4113,f4114,f4115,f3947,f4116,f3949,f3950,f4117,f4118,f3953,f3954,f3955,f3956,f4119,f3958,f3959,f4120,f4121,f3962,f3963,f4122,f4123,f4124,f3967,f4125,f4126,f3970,f3971,f4127,f4128,f4129,f4130,f3976,f3977,f3978,f2691,f4142,f4143,f4145,f1663,f4146,f4152,f4148,f4154,f4157,f2697,f4166,f4163,f4165,f4171,f4173,f4178,f4179,f4180,f4181,f4182,f4183,f4184,f4185,f4186,f4187,f2747,f4198,f4199,f4200,f4201,f4202,f4203,f4205,f4210,f4211,f4213,f4214,f4216,f2759,f4235,f4236,f4238,f3013,f4242,f4245,f4246,f4263,f4264,f4251,f4265,f4267,f4268,f3014,f4270,f4273,f4274,f4295,f4296,f4279,f4297,f4299,f4300,f2238,f4392,f4305,f4394,f4307,f4395,f4310,f4397,f4319,f4321,f4322,f4399,f4400,f4325,f4326,f4327,f4328,f4329,f4330,f4331,f4332,f4333,f4334,f4401,f4336,f4402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% 5.10/1.10 tff(f4848,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,nil(X0)) = X1 | nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4837,f326])).
% 5.10/1.10 tff(f4837,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rev(X0,nil(X0))) = X1 | nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f4430,f631])).
% 5.10/1.10 tff(f4847,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,X4) = X1 | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4836,f328])).
% 5.10/1.10 tff(f4836,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X1 | rotate1(X0,append(X0,cons(X0,X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4430,f823])).
% 5.10/1.10 tff(f4846,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f434,f433,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229,f2179,f2231,f2234,f2172,f2242,f2243,f2253,f2254,f2255,f2200,f2261,f2259,f2210,f2272,f2273,f2267,f2274,f2276,f2133,f2287,f2279,f2280,f2288,f2284,f2286,f2293,f2240,f2303,f2304,f2305,f455,f2306,f2307,f2308,f2309,f2316,f2317,f2187,f2319,f2320,f2322,f2326,f2188,f2327,f2329,f2330,f2338,f2339,f2164,f2384,f2343,f2351,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2377,f2380,f2382,f2383,f2379,f2396,f2397,f2392,f2398,f2201,f2401,f2402,f2414,f2415,f2410,f2367,f2417,f2418,f2419,f2424,f2425,f2368,f2427,f2428,f2429,f2434,f2435,f2369,f2444,f2439,f2440,f2441,f2445,f2370,f2447,f2448,f2449,f2454,f2455,f463,f2457,f2458,f2460,f2461,f2473,f2474,f2465,f2466,f2468,f2469,f2475,f2476,f2196,f2480,f2212,f2484,f2487,f2488,f2504,f2491,f2505,f2507,f2508,f2509,f2511,f2506,f2512,f2517,f2524,f2503,f2528,f2535,f2536,f464,f2542,f2543,f2544,f2545,f2546,f2547,f2574,f2552,f2555,f2558,f2561,f2562,f2565,f2580,f2513,f2593,f2603,f2606,f2514,f2607,f2617,f2613,f2523,f2618,f2619,f2620,f2621,f2622,f2570,f2626,f2628,f2630,f2638,f2639,f2640,f2641,f2642,f2643,f2644,f2667,f2668,f2669,f2671,f2672,f2688,f2689,f2571,f2693,f2694,f2696,f2698,f2705,f2707,f2708,f2709,f2710,f2711,f2712,f2735,f2736,f2737,f2739,f2740,f2741,f2757,f2758,f2651,f2653,f2720,f2722,f471,f2769,f2770,f2771,f2772,f2774,f2775,f2784,f2778,f2779,f2780,f2781,f2786,f2534,f2787,f2645,f2790,f2793,f2794,f2795,f2797,f2798,f2803,f2805,f2646,f2808,f2809,f2810,f2811,f2813,f2814,f2817,f2818,f2647,f2819,f2822,f2823,f2824,f2826,f2827,f2832,f2834,f2648,f2837,f2838,f2839,f2840,f2842,f2843,f2846,f2847,f2649,f2849,f2850,f2851,f2855,f2650,f2857,f2858,f2859,f2863,f2713,f2866,f2867,f2868,f2869,f2871,f2872,f2875,f2876,f2714,f2877,f2879,f2881,f2884,f2885,f2890,f2892,f2715,f2895,f2896,f2897,f2898,f2900,f2901,f2904,f2905,f472,f2909,f2910,f2911,f2912,f2716,f2916,f2918,f2920,f2923,f2924,f2929,f2931,f2717,f2933,f2934,f2935,f2936,f2939,f2718,f2940,f2941,f2942,f2943,f2946,f2213,f2950,f2953,f2954,f2974,f2957,f2975,f2977,f2978,f2979,f2981,f2976,f2982,f2987,f2996,f2973,f3000,f3009,f3010,f2983,f3032,f3033,f3022,f3034,f3037,f479,f3038,f3039,f3040,f3041,f3054,f3045,f3046,f3047,f3048,f3050,f3051,f3055,f2995,f3057,f3058,f3059,f3060,f3061,f3008,f3064,f2374,f3082,f3083,f3073,f3084,f3085,f3078,f3086,f2375,f3098,f3099,f3093,f3096,f2233,f3103,f3117,f3110,f3111,f3120,f3121,f3123,f3074,f3134,f3135,f3136,f3130,f3137,f2209,f3139,f3140,f3141,f3144,f3145,f3146,f3138,f3149,f3152,f2225,f3155,f3156,f3157,f3158,f3159,f2226,f3162,f3163,f3164,f3165,f3174,f3171,f480,f3178,f3179,f3181,f3182,f2237,f3189,f3192,f3193,f3197,f2295,f3198,f2525,f3201,f3202,f3205,f3267,f3268,f3270,f3210,f3216,f3217,f3220,f3221,f3224,f3225,f3227,f3228,f3229,f3230,f3231,f3232,f3239,f3240,f3242,f3251,f3252,f3253,f3254,f3258,f3259,f3260,f3261,f3266,f3213,f3273,f3279,f3281,f3284,f3286,f3287,f3288,f3272,f3295,f3293,f3283,f3297,f2997,f3300,f3301,f3304,f3370,f3371,f3373,f3310,f3316,f3317,f3320,f3321,f3324,f3325,f3327,f3328,f3329,f3330,f3331,f3332,f3339,f3340,f3342,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3369,f3313,f3375,f3383,f3385,f3387,f3391,f3392,f3393,f3376,f3400,f3398,f3388,f3402,f3104,f3405,f3407,f3408,f3409,f3410,f3418,f3413,f3414,f3419,f3421,f3107,f3422,f3423,f3432,f3428,f3429,f3437,f3439,f3119,f3443,f3450,f3447,f3448,f2321,f3454,f3457,f3458,f3461,f3463,f2586,f3465,f3468,f3469,f3482,f3472,f3483,f3485,f3486,f2587,f3490,f3493,f3494,f3511,f3497,f3512,f3514,f3515,f2601,f3516,f3517,f3520,f3521,f3522,f2602,f3525,f3526,f3529,f3530,f3539,f3536,f2629,f3543,f3545,f3548,f3550,f3554,f3555,f3556,f3557,f3558,f3559,f3560,f3561,f3562,f3563,f2662,f3979,f3577,f3981,f3983,f3984,f3985,f3986,f3987,f3988,f3989,f3992,f3993,f3994,f3995,f3996,f3997,f4003,f4004,f4005,f4007,f4008,f4010,f4011,f4012,f4014,f4015,f4017,f3637,f3638,f4018,f4019,f4020,f4021,f4022,f3662,f3663,f4023,f3665,f3667,f4025,f4029,f4031,f4032,f4034,f4035,f4036,f4037,f4038,f4039,f4040,f4053,f4055,f4056,f4057,f3857,f4058,f4059,f4062,f4064,f4070,f4072,f4075,f3876,f4076,f3878,f3879,f3888,f3890,f4081,f3895,f4085,f4086,f4088,f4089,f4091,f4093,f4094,f4095,f4096,f4097,f3911,f3912,f4102,f4105,f3917,f3918,f4107,f4110,f4112,f4113,f4114,f4115,f3947,f4116,f3949,f3950,f4117,f4118,f3953,f3954,f3955,f3956,f4119,f3958,f3959,f4120,f4121,f3962,f3963,f4122,f4123,f4124,f3967,f4125,f4126,f3970,f3971,f4127,f4128,f4129,f4130,f3976,f3977,f3978,f2691,f4142,f4143,f4145,f1663,f4146,f4152,f4148,f4154,f4157,f2697,f4166,f4163,f4165,f4171,f4173,f4178,f4179,f4180,f4181,f4182,f4183,f4184,f4185,f4186,f4187,f2747,f4198,f4199,f4200,f4201,f4202,f4203,f4205,f4210,f4211,f4213,f4214,f4216,f2759,f4235,f4236,f4238,f3013,f4242,f4245,f4246,f4263,f4264,f4251,f4265,f4267,f4268,f3014,f4270,f4273,f4274,f4295,f4296,f4279,f4297,f4299,f4300,f2238,f4392,f4305,f4394,f4307,f4395,f4310,f4397,f4319,f4321,f4322,f4399,f4400,f4325,f4326,f4327,f4328,f4329,f4330,f4331,f4332,f4333,f4334,f4401,f4336,f4402,f4338,f4339,f4340,f4341,f4342,f4343,f4344,f4345,f4346,f4347,f4349,f4350,f4351,f4353,f4354,f4356,f4358,f4406,f4360,f4361,f4362,f4363,f4407,f4366,f4367,f4368,f4408,f4410,f4411,f4371,f4372,f4373,f4374,f4375,f4376,f4412,f4380,f4382,f4383,f4384,f4385,f4386,f4387,f4388,f4389,f4413,f4414,f4398,f4415,f4417,f4418,f4427,f4424,f4425,f4428,f4429,f4312,f4434,f4435,f4445,f4446,f4447,f4448,f4449,f4450,f4442,f4443,f4451,f4313,f4452,f4453,f4464,f4462,f4404,f4465,f4470,f4483,f4484,f4477,f4478,f4486,f4487,f436,f4314,f4490,f4491,f4494,f4495,f4508,f4509,f4502,f4503,f4510,f4511,f4506,f4512,f4526,f4515,f4527,f4519,f4520,f4528,f4507,f4530,f4533,f4545,f4537,f4538,f4546,f4315,f4549,f4553,f4554,f4563,f4564,f4548,f4569,f4573,f4574,f4580,f4378,f4596,f4582,f4585,f4586,f4597,f4598,f4599,f4416,f4606,f4604,f4431,f4616,f4617,f4613,f4614,f4618,f4619,f4466,f4632,f4633,f4626,f4627,f4635,f4636,f4638,f4513,f4649,f4643,f4531,f4662,f4656,f4377,f4674,f4675,f4676,f4469,f4687,f4681,f4682,f4689,f4690,f4692,f4489,f4693,f4694,f4697,f4698,f4712,f4713,f4705,f4706,f4709,f4316,f4714,f4715,f4718,f4719,f4734,f4735,f4728,f4732,f4317,f4736,f4737,f4740,f4741,f4761,f4762,f4750,f4751,f4763,f4756,f4757,f4764,f423,f4765,f4767,f4769,f4770,f4773,f4774,f4776,f4381,f4799,f4781,f4784,f4785,f4800,f4801,f4802,f4795,f4796,f4803,f4804,f4419,f4808,f4420,f4815,f4430,f4823,f4824,f4843,f4831,f4844,f4845])).
% 5.10/1.10 tff(f4845,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,nil(X0)) = X1 | nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4835,f565])).
% 5.10/1.10 tff(f4835,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,butlast(X0,insert(X0,X4,nil(X0)))) = X1 | nil(X0) != rotate1(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f4430,f2662])).
% 5.10/1.10 tff(f4844,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,X4)) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4833,f328])).
% 5.10/1.10 tff(f4833,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4430,f823])).
% 5.10/1.10 tff(f4843,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,append(X0,X3,X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4826,f328])).
% 5.10/1.10 tff(f4826,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,rotate1(X0,append(X0,rev(X0,rev(X0,X3)),X4))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4430,f823])).
% 5.10/1.10 tff(f4824,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,rotate1(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4430,f351])).
% 5.10/1.10 tff(f4823,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,rotate1(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4430,f347])).
% 5.10/1.10 tff(f4430,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4312,f430])).
% 5.10/1.10 tff(f4815,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4420,f823])).
% 5.10/1.10 tff(f4420,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) != sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4398,f351])).
% 5.10/1.10 tff(f4808,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f4419,f823])).
% 5.10/1.10 tff(f4419,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rotate1(X0,X1) != sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4398,f347])).
% 5.10/1.10 tff(f4803,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4797,f326])).
% 5.10/1.10 tff(f4797,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4381,f631])).
% 5.10/1.10 tff(f4796,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | hd(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4381,f823])).
% 5.10/1.10 tff(f4795,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != hd(list(X0),rotate1(list(X0),cons(list(X0),X1,cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4381,f2662])).
% 5.10/1.10 tff(f4802,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (hd(X0,X4) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4793,f328])).
% 5.10/1.10 tff(f4793,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (hd(X0,rev(X0,rev(X0,X4))) = X2 | rotate1(X0,cons(X0,X1,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4381,f823])).
% 5.10/1.10 tff(f4801,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (hd(X0,rotate1(X0,X4)) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4790,f328])).
% 5.10/1.10 tff(f4790,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (hd(X0,rotate1(X0,rev(X0,rev(X0,X4)))) = X2 | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4381,f823])).
% 5.10/1.10 tff(f4800,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (hd(X0,rotate1(X0,cons(X0,X4,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4787,f328])).
% 5.10/1.10 tff(f4787,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (hd(X0,rotate1(X0,cons(X0,X4,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4381,f823])).
% 5.10/1.10 tff(f4785,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = hd(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4381,f351])).
% 5.10/1.10 tff(f4784,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = hd(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4381,f347])).
% 5.10/1.10 tff(f4781,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (hd(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4381,f335])).
% 5.10/1.10 tff(f4799,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (hd(X0,rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4780,f430])).
% 5.10/1.10 tff(f4780,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (hd(X0,rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4381,f430])).
% 5.10/1.10 tff(f4381,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (hd(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2135,f2238])).
% 5.10/1.10 tff(f4776,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) != rev(X0,rev(X0,X2)) | cons(X0,X3,nil(X0)) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f423,f823])).
% 5.10/1.10 tff(f4774,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,nil(X0)) != X1 | rev(X0,X1) = cons(X0,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f423,f328])).
% 5.10/1.10 tff(f4773,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) != X2 | rev(X0,X1) = cons(X0,X3,nil(X0)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f423,f823])).
% 5.10/1.10 tff(f4770,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) != rev(X0,X2) | cons(X0,X3,nil(X0)) = X1 | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f423,f641])).
% 5.10/1.10 tff(f4769,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) != rev(X0,X2) | cons(X0,X3,nil(X0)) = X1 | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f423,f641])).
% 5.10/1.10 tff(f4767,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,X3) != rev(X0,rev(X0,X2)) | cons(X0,X1,nil(X0)) = X3 | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f423,f823])).
% 5.10/1.10 tff(f4765,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | cons(X0,X1,nil(X0)) = X2) )),
% 5.10/1.10 inference(superposition,[],[f423,f335])).
% 5.10/1.10 tff(f423,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) != rev(X0,X2) | cons(X0,X1,nil(X0)) = X2) )),
% 5.10/1.10 inference(cnf_transformation,[],[f284])).
% 5.10/1.10 tff(f284,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((cons(X0,X1,nil(X0)) = rev(X0,X2) | cons(X0,X1,nil(X0)) != X2) & (cons(X0,X1,nil(X0)) = X2 | cons(X0,X1,nil(X0)) != rev(X0,X2)))),
% 5.10/1.10 inference(nnf_transformation,[],[f177])).
% 5.10/1.10 tff(f177,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (cons(X0,X1,nil(X0)) = rev(X0,X2) <=> cons(X0,X1,nil(X0)) = X2)),
% 5.10/1.10 inference(rectify,[],[f91])).
% 5.10/1.10 tff(f91,axiom,(
% 5.10/1.10 ! [X0 : $tType,X28 : X0,X11 : list(X0)] : (cons(X0,X28,nil(X0)) = rev(X0,X11) <=> cons(X0,X28,nil(X0)) = X11)),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_rev__singleton__conv)).
% 5.10/1.10 tff(f4764,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4758,f326])).
% 5.10/1.10 tff(f4758,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4317,f631])).
% 5.10/1.10 tff(f4757,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | last(list(X0),append(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4317,f823])).
% 5.10/1.10 tff(f4756,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(list(X0)),X1 : list(list(X0)),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,rotate1(list(X0),cons(list(X0),X2,X3))))) )),
% 5.10/1.10 inference(superposition,[],[f4317,f2662])).
% 5.10/1.10 tff(f4763,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (last(X0,X4) = X2 | append(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4754,f328])).
% 5.10/1.10 tff(f4754,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X2 | append(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4317,f823])).
% 5.10/1.10 tff(f4750,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,append(X0,X1,append(X0,X2,rotate1(X0,cons(X0,X3,X4))))) = X3) )),
% 5.10/1.10 inference(superposition,[],[f4317,f429])).
% 5.10/1.10 tff(f4762,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,X3)) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4746,f328])).
% 5.10/1.10 tff(f4746,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,rev(X0,X3)))) = X1 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4317,f823])).
% 5.10/1.10 tff(f4761,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rotate1(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4743,f328])).
% 5.10/1.10 tff(f4743,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rotate1(X0,rev(X0,rev(X0,X3))))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4317,f823])).
% 5.10/1.10 tff(f4741,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = last(X0,append(X0,X2,rotate1(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4317,f351])).
% 5.10/1.10 tff(f4740,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = last(X0,append(X0,X2,rotate1(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4317,f347])).
% 5.10/1.10 tff(f4737,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,append(X0,X2,rotate1(X0,insert(X0,X1,nil(X0))))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4317,f335])).
% 5.10/1.10 tff(f4736,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4317,f430])).
% 5.10/1.10 tff(f4317,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (last(X0,append(X0,X3,rotate1(X0,cons(X0,X2,X1)))) = X2) )),
% 5.10/1.10 inference(superposition,[],[f2081,f2238])).
% 5.10/1.10 tff(f4732,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,X1,rotate1(X0,cons(X0,X2,X3))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f4316,f823])).
% 5.10/1.10 tff(f4728,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,rotate1(X0,cons(X0,X3,X4))))) )),
% 5.10/1.10 inference(superposition,[],[f4316,f429])).
% 5.10/1.10 tff(f4735,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,X3) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4724,f328])).
% 5.10/1.10 tff(f4724,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,rev(X0,X3))) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4316,f823])).
% 5.10/1.10 tff(f4734,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rotate1(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4721,f328])).
% 5.10/1.10 tff(f4721,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rotate1(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4316,f823])).
% 5.10/1.10 tff(f4719,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,rotate1(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4316,f351])).
% 5.10/1.10 tff(f4715,plain,(
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% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rev(X0,rotate1(X0,X1)) | nil(X0) = X1) )),
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% 5.10/1.10 inference(superposition,[],[f4469,f641])).
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% 5.10/1.10 inference(superposition,[],[f4404,f347])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~null(X0,rotate1(X0,cons(X0,X3,X2))) | insert(X0,X1,nil(X0)) != X2) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (~null(X0,rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f2177,f2238])).
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% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) = sK8(X0,insert(X0,X1,nil(X0)))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) = sK4(X0,insert(X0,X1,nil(X0)))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,insert(X0,X1,nil(X0))))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (last(X0,rotate1(X0,insert(X0,X1,nil(X0)))) = X1) )),
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% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != rotate1(X0,insert(X0,X1,nil(X0)))) )),
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% 5.10/1.10 inference(superposition,[],[f4506,f823])).
% 5.10/1.10 tff(f4519,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4506,f2662])).
% 5.10/1.10 tff(f4526,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK8(X0,cons(X0,X1,X2)) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4514,f4506])).
% 5.10/1.10 tff(f4514,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK4(X0,cons(X0,X1,X2)) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4506,f2997])).
% 5.10/1.10 tff(f4506,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK4(X0,cons(X0,X1,X2)) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4492,f4314])).
% 5.10/1.10 tff(f4492,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK4(X0,cons(X0,X1,X2)) = butlast(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4314,f2525])).
% 5.10/1.10 tff(f4511,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,X2) | ~distinct(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4505,f4313])).
% 5.10/1.10 tff(f4505,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,X2) | ~distinct(X0,rotate1(X0,cons(X0,X1,X2))) | nil(X0) = rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f346,f4314])).
% 5.10/1.10 tff(f4510,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = X2 | nil(X0) != butlast(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4504,f326])).
% 5.10/1.10 tff(f4504,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) = X2 | nil(X0) != butlast(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4314,f631])).
% 5.10/1.10 tff(f4503,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) = X2 | butlast(X0,rotate1(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4314,f823])).
% 5.10/1.10 tff(f4502,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != butlast(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4314,f2662])).
% 5.10/1.10 tff(f4490,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) = butlast(X0,rotate1(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f4314,f430])).
% 5.10/1.10 tff(f4314,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,rotate1(X0,cons(X0,X2,X1))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1049,f2238])).
% 5.10/1.10 tff(f436,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (pp(aa(X0,bool,X3,X2)) | nil(X0) = takeWhile(X0,X3,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(cnf_transformation,[],[f238])).
% 5.10/1.10 tff(f4486,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4485,f323])).
% 5.10/1.10 tff(f4485,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != rev(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4480,f565])).
% 5.10/1.10 tff(f4480,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~null(X0,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != rev(X0,rotate1(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4404,f2662])).
% 5.10/1.10 tff(f4478,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,X3)) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4404,f641])).
% 5.10/1.10 tff(f4484,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,X3)) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4475,f328])).
% 5.10/1.10 tff(f4475,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,rev(X0,X3)))) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4404,f823])).
% 5.10/1.10 tff(f4470,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f4404,f351])).
% 5.10/1.10 tff(f4404,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,cons(X0,X2,X1))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4403,f569])).
% 5.10/1.10 tff(f4403,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) = insert(X0,X2,nil(X0)) | ~null(X0,rev(X0,rotate1(X0,cons(X0,X2,X1))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4348,f1383])).
% 5.10/1.10 tff(f4348,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,rev(X0,rotate1(X0,cons(X0,X2,X1)))) | nil(X0) = rev(X0,insert(X0,X2,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2233,f2238])).
% 5.10/1.10 tff(f4462,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4313,f823])).
% 5.10/1.10 tff(f4453,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != rotate1(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f4313,f335])).
% 5.10/1.10 tff(f4313,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(superposition,[],[f595,f2238])).
% 5.10/1.10 tff(f4451,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4444,f326])).
% 5.10/1.10 tff(f4444,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4312,f631])).
% 5.10/1.10 tff(f4443,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | last(list(X0),rotate1(list(X0),cons(list(X0),X1,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4312,f823])).
% 5.10/1.10 tff(f4442,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != last(list(X0),rotate1(list(X0),cons(list(X0),X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f4312,f2662])).
% 5.10/1.10 tff(f4450,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f423,f519,f425,f432,f434,f433,f436,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229,f2179,f2231,f2234,f2172,f2242,f2243,f2253,f2254,f2255,f2200,f2261,f2259,f2210,f2272,f2273,f2267,f2274,f2276,f2133,f2287,f2279,f2280,f2288,f2284,f2286,f2293,f2240,f2303,f2304,f2305,f455,f2306,f2307,f2308,f2309,f2316,f2317,f2187,f2319,f2320,f2322,f2326,f2188,f2327,f2329,f2330,f2338,f2339,f2164,f2384,f2343,f2351,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2377,f2380,f2382,f2383,f2379,f2396,f2397,f2392,f2398,f2201,f2401,f2402,f2414,f2415,f2410,f2367,f2417,f2418,f2419,f2424,f2425,f2368,f2427,f2428,f2429,f2434,f2435,f2369,f2444,f2439,f2440,f2441,f2445,f2370,f2447,f2448,f2449,f2454,f2455,f463,f2457,f2458,f2460,f2461,f2473,f2474,f2465,f2466,f2468,f2469,f2475,f2476,f2196,f2480,f2212,f2484,f2487,f2488,f2504,f2491,f2505,f2507,f2508,f2509,f2511,f2506,f2512,f2517,f2524,f2503,f2528,f2535,f2536,f464,f2542,f2543,f2544,f2545,f2546,f2547,f2574,f2552,f2555,f2558,f2561,f2562,f2565,f2580,f2513,f2593,f2603,f2606,f2514,f2607,f2617,f2613,f2523,f2618,f2619,f2620,f2621,f2622,f2570,f2626,f2628,f2630,f2638,f2639,f2640,f2641,f2642,f2643,f2644,f2667,f2668,f2669,f2671,f2672,f2688,f2689,f2571,f2693,f2694,f2696,f2698,f2705,f2707,f2708,f2709,f2710,f2711,f2712,f2735,f2736,f2737,f2739,f2740,f2741,f2757,f2758,f2651,f2653,f2720,f2722,f471,f2769,f2770,f2771,f2772,f2774,f2775,f2784,f2778,f2779,f2780,f2781,f2786,f2534,f2787,f2645,f2790,f2793,f2794,f2795,f2797,f2798,f2803,f2805,f2646,f2808,f2809,f2810,f2811,f2813,f2814,f2817,f2818,f2647,f2819,f2822,f2823,f2824,f2826,f2827,f2832,f2834,f2648,f2837,f2838,f2839,f2840,f2842,f2843,f2846,f2847,f2649,f2849,f2850,f2851,f2855,f2650,f2857,f2858,f2859,f2863,f2713,f2866,f2867,f2868,f2869,f2871,f2872,f2875,f2876,f2714,f2877,f2879,f2881,f2884,f2885,f2890,f2892,f2715,f2895,f2896,f2897,f2898,f2900,f2901,f2904,f2905,f472,f2909,f2910,f2911,f2912,f2716,f2916,f2918,f2920,f2923,f2924,f2929,f2931,f2717,f2933,f2934,f2935,f2936,f2939,f2718,f2940,f2941,f2942,f2943,f2946,f2213,f2950,f2953,f2954,f2974,f2957,f2975,f2977,f2978,f2979,f2981,f2976,f2982,f2987,f2996,f2973,f3000,f3009,f3010,f2983,f3032,f3033,f3022,f3034,f3037,f479,f3038,f3039,f3040,f3041,f3054,f3045,f3046,f3047,f3048,f3050,f3051,f3055,f2995,f3057,f3058,f3059,f3060,f3061,f3008,f3064,f2374,f3082,f3083,f3073,f3084,f3085,f3078,f3086,f2375,f3098,f3099,f3093,f3096,f2233,f3103,f3117,f3110,f3111,f3120,f3121,f3123,f3074,f3134,f3135,f3136,f3130,f3137,f2209,f3139,f3140,f3141,f3144,f3145,f3146,f3138,f3149,f3152,f2225,f3155,f3156,f3157,f3158,f3159,f2226,f3162,f3163,f3164,f3165,f3174,f3171,f480,f3178,f3179,f3181,f3182,f2237,f3189,f3192,f3193,f3197,f2295,f3198,f2525,f3201,f3202,f3205,f3267,f3268,f3270,f3210,f3216,f3217,f3220,f3221,f3224,f3225,f3227,f3228,f3229,f3230,f3231,f3232,f3239,f3240,f3242,f3251,f3252,f3253,f3254,f3258,f3259,f3260,f3261,f3266,f3213,f3273,f3279,f3281,f3284,f3286,f3287,f3288,f3272,f3295,f3293,f3283,f3297,f2997,f3300,f3301,f3304,f3370,f3371,f3373,f3310,f3316,f3317,f3320,f3321,f3324,f3325,f3327,f3328,f3329,f3330,f3331,f3332,f3339,f3340,f3342,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3369,f3313,f3375,f3383,f3385,f3387,f3391,f3392,f3393,f3376,f3400,f3398,f3388,f3402,f3104,f3405,f3407,f3408,f3409,f3410,f3418,f3413,f3414,f3419,f3421,f3107,f3422,f3423,f3432,f3428,f3429,f3437,f3439,f3119,f3443,f3450,f3447,f3448,f2321,f3454,f3457,f3458,f3461,f3463,f2586,f3465,f3468,f3469,f3482,f3472,f3483,f3485,f3486,f2587,f3490,f3493,f3494,f3511,f3497,f3512,f3514,f3515,f2601,f3516,f3517,f3520,f3521,f3522,f2602,f3525,f3526,f3529,f3530,f3539,f3536,f2629,f3543,f3545,f3548,f3550,f3554,f3555,f3556,f3557,f3558,f3559,f3560,f3561,f3562,f3563,f2662,f3979,f3577,f3981,f3983,f3984,f3985,f3986,f3987,f3988,f3989,f3992,f3993,f3994,f3995,f3996,f3997,f4003,f4004,f4005,f4007,f4008,f4010,f4011,f4012,f4014,f4015,f4017,f3637,f3638,f4018,f4019,f4020,f4021,f4022,f3662,f3663,f4023,f3665,f3667,f4025,f4029,f4031,f4032,f4034,f4035,f4036,f4037,f4038,f4039,f4040,f4053,f4055,f4056,f4057,f3857,f4058,f4059,f4062,f4064,f4070,f4072,f4075,f3876,f4076,f3878,f3879,f3888,f3890,f4081,f3895,f4085,f4086,f4088,f4089,f4091,f4093,f4094,f4095,f4096,f4097,f3911,f3912,f4102,f4105,f3917,f3918,f4107,f4110,f4112,f4113,f4114,f4115,f3947,f4116,f3949,f3950,f4117,f4118,f3953,f3954,f3955,f3956,f4119,f3958,f3959,f4120,f4121,f3962,f3963,f4122,f4123,f4124,f3967,f4125,f4126,f3970,f3971,f4127,f4128,f4129,f4130,f3976,f3977,f3978,f2691,f4142,f4143,f4145,f1663,f4146,f4152,f4148,f4154,f4157,f2697,f4166,f4163,f4165,f4171,f4173,f4178,f4179,f4180,f4181,f4182,f4183,f4184,f4185,f4186,f4187,f2747,f4198,f4199,f4200,f4201,f4202,f4203,f4205,f4210,f4211,f4213,f4214,f4216,f2759,f4235,f4236,f4238,f3013,f4242,f4245,f4246,f4263,f4264,f4251,f4265,f4267,f4268,f3014,f4270,f4273,f4274,f4295,f4296,f4279,f4297,f4299,f4300,f2238,f4392,f4305,f4394,f4307,f4395,f4310,f4313,f4314,f4315,f4316,f4317,f4397,f4319,f4321,f4322,f4399,f4400,f4325,f4326,f4327,f4328,f4329,f4330,f4331,f4332,f4333,f4334,f4401,f4336,f4402,f4338,f4339,f4340,f4341,f4342,f4343,f4344,f4345,f4346,f4347,f4404,f4349,f4350,f4351,f4353,f4354,f4356,f4358,f4406,f4360,f4361,f4362,f4363,f4407,f4366,f4367,f4368,f4408,f4410,f4411,f4371,f4372,f4373,f4374,f4375,f4376,f4377,f4378,f4412,f4380,f4381,f4382,f4383,f4384,f4385,f4386,f4387,f4388,f4389,f4413,f4414,f4398,f4415,f4416,f4417,f4418,f4419,f4420,f4427,f4424,f4425,f4428,f4429,f4312,f4430,f4431,f4434,f4435,f4445,f4446,f4447,f4448,f4449])).
% 5.10/1.10 tff(f4449,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,nil(X0)) = X1 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4441,f326])).
% 5.10/1.10 tff(f4441,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,rev(X0,nil(X0))) = X1 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4312,f631])).
% 5.10/1.10 tff(f4447,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f423,f519,f425,f432,f434,f433,f436,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229,f2179,f2231,f2234,f2172,f2242,f2243,f2253,f2254,f2255,f2200,f2261,f2259,f2210,f2272,f2273,f2267,f2274,f2276,f2133,f2287,f2279,f2280,f2288,f2284,f2286,f2293,f2240,f2303,f2304,f2305,f455,f2306,f2307,f2308,f2309,f2316,f2317,f2187,f2319,f2320,f2322,f2326,f2188,f2327,f2329,f2330,f2338,f2339,f2164,f2384,f2343,f2351,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2377,f2380,f2382,f2383,f2379,f2396,f2397,f2392,f2398,f2201,f2401,f2402,f2414,f2415,f2410,f2367,f2417,f2418,f2419,f2424,f2425,f2368,f2427,f2428,f2429,f2434,f2435,f2369,f2444,f2439,f2440,f2441,f2445,f2370,f2447,f2448,f2449,f2454,f2455,f463,f2457,f2458,f2460,f2461,f2473,f2474,f2465,f2466,f2468,f2469,f2475,f2476,f2196,f2480,f2212,f2484,f2487,f2488,f2504,f2491,f2505,f2507,f2508,f2509,f2511,f2506,f2512,f2517,f2524,f2503,f2528,f2535,f2536,f464,f2542,f2543,f2544,f2545,f2546,f2547,f2574,f2552,f2555,f2558,f2561,f2562,f2565,f2580,f2513,f2593,f2603,f2606,f2514,f2607,f2617,f2613,f2523,f2618,f2619,f2620,f2621,f2622,f2570,f2626,f2628,f2630,f2638,f2639,f2640,f2641,f2642,f2643,f2644,f2667,f2668,f2669,f2671,f2672,f2688,f2689,f2571,f2693,f2694,f2696,f2698,f2705,f2707,f2708,f2709,f2710,f2711,f2712,f2735,f2736,f2737,f2739,f2740,f2741,f2757,f2758,f2651,f2653,f2720,f2722,f471,f2769,f2770,f2771,f2772,f2774,f2775,f2784,f2778,f2779,f2780,f2781,f2786,f2534,f2787,f2645,f2790,f2793,f2794,f2795,f2797,f2798,f2803,f2805,f2646,f2808,f2809,f2810,f2811,f2813,f2814,f2817,f2818,f2647,f2819,f2822,f2823,f2824,f2826,f2827,f2832,f2834,f2648,f2837,f2838,f2839,f2840,f2842,f2843,f2846,f2847,f2649,f2849,f2850,f2851,f2855,f2650,f2857,f2858,f2859,f2863,f2713,f2866,f2867,f2868,f2869,f2871,f2872,f2875,f2876,f2714,f2877,f2879,f2881,f2884,f2885,f2890,f2892,f2715,f2895,f2896,f2897,f2898,f2900,f2901,f2904,f2905,f472,f2909,f2910,f2911,f2912,f2716,f2916,f2918,f2920,f2923,f2924,f2929,f2931,f2717,f2933,f2934,f2935,f2936,f2939,f2718,f2940,f2941,f2942,f2943,f2946,f2213,f2950,f2953,f2954,f2974,f2957,f2975,f2977,f2978,f2979,f2981,f2976,f2982,f2987,f2996,f2973,f3000,f3009,f3010,f2983,f3032,f3033,f3022,f3034,f3037,f479,f3038,f3039,f3040,f3041,f3054,f3045,f3046,f3047,f3048,f3050,f3051,f3055,f2995,f3057,f3058,f3059,f3060,f3061,f3008,f3064,f2374,f3082,f3083,f3073,f3084,f3085,f3078,f3086,f2375,f3098,f3099,f3093,f3096,f2233,f3103,f3117,f3110,f3111,f3120,f3121,f3123,f3074,f3134,f3135,f3136,f3130,f3137,f2209,f3139,f3140,f3141,f3144,f3145,f3146,f3138,f3149,f3152,f2225,f3155,f3156,f3157,f3158,f3159,f2226,f3162,f3163,f3164,f3165,f3174,f3171,f480,f3178,f3179,f3181,f3182,f2237,f3189,f3192,f3193,f3197,f2295,f3198,f2525,f3201,f3202,f3205,f3267,f3268,f3270,f3210,f3216,f3217,f3220,f3221,f3224,f3225,f3227,f3228,f3229,f3230,f3231,f3232,f3239,f3240,f3242,f3251,f3252,f3253,f3254,f3258,f3259,f3260,f3261,f3266,f3213,f3273,f3279,f3281,f3284,f3286,f3287,f3288,f3272,f3295,f3293,f3283,f3297,f2997,f3300,f3301,f3304,f3370,f3371,f3373,f3310,f3316,f3317,f3320,f3321,f3324,f3325,f3327,f3328,f3329,f3330,f3331,f3332,f3339,f3340,f3342,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3369,f3313,f3375,f3383,f3385,f3387,f3391,f3392,f3393,f3376,f3400,f3398,f3388,f3402,f3104,f3405,f3407,f3408,f3409,f3410,f3418,f3413,f3414,f3419,f3421,f3107,f3422,f3423,f3432,f3428,f3429,f3437,f3439,f3119,f3443,f3450,f3447,f3448,f2321,f3454,f3457,f3458,f3461,f3463,f2586,f3465,f3468,f3469,f3482,f3472,f3483,f3485,f3486,f2587,f3490,f3493,f3494,f3511,f3497,f3512,f3514,f3515,f2601,f3516,f3517,f3520,f3521,f3522,f2602,f3525,f3526,f3529,f3530,f3539,f3536,f2629,f3543,f3545,f3548,f3550,f3554,f3555,f3556,f3557,f3558,f3559,f3560,f3561,f3562,f3563,f2662,f3979,f3577,f3981,f3983,f3984,f3985,f3986,f3987,f3988,f3989,f3992,f3993,f3994,f3995,f3996,f3997,f4003,f4004,f4005,f4007,f4008,f4010,f4011,f4012,f4014,f4015,f4017,f3637,f3638,f4018,f4019,f4020,f4021,f4022,f3662,f3663,f4023,f3665,f3667,f4025,f4029,f4031,f4032,f4034,f4035,f4036,f4037,f4038,f4039,f4040,f4053,f4055,f4056,f4057,f3857,f4058,f4059,f4062,f4064,f4070,f4072,f4075,f3876,f4076,f3878,f3879,f3888,f3890,f4081,f3895,f4085,f4086,f4088,f4089,f4091,f4093,f4094,f4095,f4096,f4097,f3911,f3912,f4102,f4105,f3917,f3918,f4107,f4110,f4112,f4113,f4114,f4115,f3947,f4116,f3949,f3950,f4117,f4118,f3953,f3954,f3955,f3956,f4119,f3958,f3959,f4120,f4121,f3962,f3963,f4122,f4123,f4124,f3967,f4125,f4126,f3970,f3971,f4127,f4128,f4129,f4130,f3976,f3977,f3978,f2691,f4142,f4143,f4145,f1663,f4146,f4152,f4148,f4154,f4157,f2697,f4166,f4163,f4165,f4171,f4173,f4178,f4179,f4180,f4181,f4182,f4183,f4184,f4185,f4186,f4187,f2747,f4198,f4199,f4200,f4201,f4202,f4203,f4205,f4210,f4211,f4213,f4214,f4216,f2759,f4235,f4236,f4238,f3013,f4242,f4245,f4246,f4263,f4264,f4251,f4265,f4267,f4268,f3014,f4270,f4273,f4274,f4295,f4296,f4279,f4297,f4299,f4300,f2238,f4392,f4305,f4394,f4307,f4395,f4310,f4313,f4314,f4315,f4316,f4317,f4397,f4319,f4321,f4322,f4399,f4400,f4325,f4326,f4327,f4328,f4329,f4330,f4331,f4332,f4333,f4334,f4401,f4336,f4402,f4338,f4339,f4340,f4341,f4342,f4343,f4344,f4345,f4346,f4347,f4404,f4349,f4350,f4351,f4353,f4354,f4356,f4358,f4406,f4360,f4361,f4362,f4363,f4407,f4366,f4367,f4368,f4408,f4410,f4411,f4371,f4372,f4373,f4374,f4375,f4376,f4377,f4378,f4412,f4380,f4381,f4382,f4383,f4384,f4385,f4386,f4387,f4388,f4389,f4413,f4414,f4398,f4415,f4416,f4417,f4418,f4419,f4420,f4427,f4424,f4425,f4428,f4429,f4312,f4430,f4431,f4434,f4435,f4445,f4446])).
% 5.10/1.10 tff(f4446,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,nil(X0)) = X1 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4439,f565])).
% 5.10/1.10 tff(f4439,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (last(X0,butlast(X0,insert(X0,X3,nil(X0)))) = X1 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4312,f2662])).
% 5.10/1.10 tff(f4312,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rotate1(X0,cons(X0,X2,X1))) = X2) )),
% 5.10/1.10 inference(superposition,[],[f584,f2238])).
% 5.10/1.10 tff(f4429,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f423,f519,f425,f432,f434,f433,f436,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f214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4330,f4331,f4332,f4333,f4334,f4401,f4336,f4402,f4338,f4339,f4340,f4341,f4342,f4343,f4344,f4345,f4346,f4347,f4404,f4349,f4350,f4351,f4353,f4354,f4356,f4358,f4406,f4360,f4361,f4362,f4363,f4407,f4366,f4367,f4368,f4408,f4410,f4411,f4371,f4372,f4373,f4374,f4375,f4376,f4377,f4378,f4412,f4380,f4381,f4382,f4383,f4384,f4385,f4386,f4387,f4388,f4389,f4413,f4414,f4398,f4415,f4416,f4417,f4418,f4419,f4420,f4427,f4424,f4425,f4428])).
% 5.10/1.10 tff(f4428,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != X2 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4426,f326])).
% 5.10/1.10 tff(f4426,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,nil(X0)) != X2 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4398,f631])).
% 5.10/1.10 tff(f4425,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != X2 | rotate1(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4398,f823])).
% 5.10/1.10 tff(f4424,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (butlast(X0,insert(X0,X3,nil(X0))) != X2 | nil(X0) != rotate1(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4398,f2662])).
% 5.10/1.10 tff(f4418,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4398,f2997])).
% 5.10/1.10 tff(f4417,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,X2)) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f4398,f2525])).
% 5.10/1.10 tff(f4398,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4320,f569])).
% 5.10/1.10 tff(f4320,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != X1 | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f407,f2238])).
% 5.10/1.10 tff(f4414,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = rotate1(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4391,f335])).
% 5.10/1.10 tff(f4391,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = rotate1(X0,cons(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f332,f2238])).
% 5.10/1.10 tff(f4413,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,insert(X0,X1,nil(X0))) != X2 | insert(X0,X1,nil(X0)) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4390,f335])).
% 5.10/1.10 tff(f4390,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rotate1(X0,cons(X0,X1,nil(X0))) != X2 | insert(X0,X1,nil(X0)) = X2) )),
% 5.10/1.10 inference(superposition,[],[f1358,f2238])).
% 5.10/1.10 tff(f4386,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) != X4 | sK3(X0,X4) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2602,f2238])).
% 5.10/1.10 tff(f4384,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) != X4 | hd(X0,X4) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2226,f2238])).
% 5.10/1.10 tff(f4383,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,rotate1(X0,cons(X0,X3,cons(X0,X1,X2))),X4)) )),
% 5.10/1.10 inference(superposition,[],[f2201,f2238])).
% 5.10/1.10 tff(f4382,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) != X4 | ~null(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f2188,f2238])).
% 5.10/1.10 tff(f4380,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (nil(X0) != rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f2134,f2238])).
% 5.10/1.10 tff(f4412,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rotate1(X0,cons(X0,X3,cons(X0,X1,X2))) != rotate1(X0,cons(X0,X3,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4379,f2238])).
% 5.10/1.10 tff(f4379,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (append(X0,X2,insert(X0,X3,nil(X0))) != rotate1(X0,cons(X0,X3,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f2133,f2238])).
% 5.10/1.10 tff(f4376,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (nil(X0) != rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2200,f2238])).
% 5.10/1.10 tff(f4374,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (insert(X0,X2,nil(X0)) != rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2286,f2238])).
% 5.10/1.10 tff(f4373,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2164,f2238])).
% 5.10/1.10 tff(f4372,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,rotate1(X0,cons(X0,X3,dropWhile(X0,X1,X2))),insert(X0,X3,nil(X0)),X2,takeWhile(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f1094,f2238])).
% 5.10/1.10 tff(f4371,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,insert(X0,X3,nil(X0)),rotate1(X0,cons(X0,X3,dropWhile(X0,X1,X2))),takeWhile(X0,X1,X2),X2)) )),
% 5.10/1.10 inference(superposition,[],[f1096,f2238])).
% 5.10/1.10 tff(f4411,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != rotate1(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4370,f430])).
% 5.10/1.10 tff(f4370,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != rotate1(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f2201,f2238])).
% 5.10/1.10 tff(f4410,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X3,X1),X2)) = append(X0,X1,rotate1(X0,cons(X0,X3,X2)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4409,f2238])).
% 5.10/1.10 tff(f4409,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) = rotate1(X0,append(X0,cons(X0,X3,X1),X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4369,f430])).
% 5.10/1.10 tff(f4369,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) = rotate1(X0,cons(X0,X3,append(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f429,f2238])).
% 5.10/1.10 tff(f4408,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f423,f519,f425,f432,f434,f433,f436,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229,f2179,f2231,f2234,f2172,f2242,f2243,f2253,f2254,f2255,f2200,f2261,f2259,f2210,f2272,f2273,f2267,f2274,f2276,f2133,f2287,f2279,f2280,f2288,f2284,f2286,f2293,f2240,f2303,f2304,f2305,f455,f2306,f2307,f2308,f2309,f2316,f2317,f2187,f2319,f2320,f2322,f2326,f2188,f2327,f2329,f2330,f2338,f2339,f2164,f2384,f2343,f2351,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2377,f2380,f2382,f2383,f2379,f2396,f2397,f2392,f2398,f2201,f2401,f2402,f2414,f2415,f2410,f2367,f2417,f2418,f2419,f2424,f2425,f2368,f2427,f2428,f2429,f2434,f2435,f2369,f2444,f2439,f2440,f2441,f2445,f2370,f2447,f2448,f2449,f2454,f2455,f463,f2457,f2458,f2460,f2461,f2473,f2474,f2465,f2466,f2468,f2469,f2475,f2476,f2196,f2480,f2212,f2484,f2487,f2488,f2504,f2491,f2505,f2507,f2508,f2509,f2511,f2506,f2512,f2517,f2524,f2503,f2528,f2535,f2536,f464,f2542,f2543,f2544,f2545,f2546,f2547,f2574,f2552,f2555,f2558,f2561,f2562,f2565,f2580,f2513,f2593,f2603,f2606,f2514,f2607,f2617,f2613,f2523,f2618,f2619,f2620,f2621,f2622,f2570,f2626,f2628,f2630,f2638,f2639,f2640,f2641,f2642,f2643,f2644,f2667,f2668,f2669,f2671,f2672,f2688,f2689,f2571,f2693,f2694,f2696,f2698,f2705,f2707,f2708,f2709,f2710,f2711,f2712,f2735,f2736,f2737,f2739,f2740,f2741,f2757,f2758,f2651,f2653,f2720,f2722,f471,f2769,f2770,f2771,f2772,f2774,f2775,f2784,f2778,f2779,f2780,f2781,f2786,f2534,f2787,f2645,f2790,f2793,f2794,f2795,f2797,f2798,f2803,f2805,f2646,f2808,f2809,f2810,f2811,f2813,f2814,f2817,f2818,f2647,f2819,f2822,f2823,f2824,f2826,f2827,f2832,f2834,f2648,f2837,f2838,f2839,f2840,f2842,f2843,f2846,f2847,f2649,f2849,f2850,f2851,f2855,f2650,f2857,f2858,f2859,f2863,f2713,f2866,f2867,f2868,f2869,f2871,f2872,f2875,f2876,f2714,f2877,f2879,f2881,f2884,f2885,f2890,f2892,f2715,f2895,f2896,f2897,f2898,f2900,f2901,f2904,f2905,f472,f2909,f2910,f2911,f2912,f2716,f2916,f2918,f2920,f2923,f2924,f2929,f2931,f2717,f2933,f2934,f2935,f2936,f2939,f2718,f2940,f2941,f2942,f2943,f2946,f2213,f2950,f2953,f2954,f2974,f2957,f2975,f2977,f2978,f2979,f2981,f2976,f2982,f2987,f2996,f2973,f3000,f3009,f3010,f2983,f3032,f3033,f3022,f3034,f3037,f479,f3038,f3039,f3040,f3041,f3054,f3045,f3046,f3047,f3048,f3050,f3051,f3055,f2995,f3057,f3058,f3059,f3060,f3061,f3008,f3064,f2374,f3082,f3083,f3073,f3084,f3085,f3078,f3086,f2375,f3098,f3099,f3093,f3096,f2233,f3103,f3117,f3110,f3111,f3120,f3121,f3123,f3074,f3134,f3135,f3136,f3130,f3137,f2209,f3139,f3140,f3141,f3144,f3145,f3146,f3138,f3149,f3152,f2225,f3155,f3156,f3157,f3158,f3159,f2226,f3162,f3163,f3164,f3165,f3174,f3171,f480,f3178,f3179,f3181,f3182,f2237,f3189,f3192,f3193,f3197,f2295,f3198,f2525,f3201,f3202,f3205,f3267,f3268,f3270,f3210,f3216,f3217,f3220,f3221,f3224,f3225,f3227,f3228,f3229,f3230,f3231,f3232,f3239,f3240,f3242,f3251,f3252,f3253,f3254,f3258,f3259,f3260,f3261,f3266,f3213,f3273,f3279,f3281,f3284,f3286,f3287,f3288,f3272,f3295,f3293,f3283,f3297,f2997,f3300,f3301,f3304,f3370,f3371,f3373,f3310,f3316,f3317,f3320,f3321,f3324,f3325,f3327,f3328,f3329,f3330,f3331,f3332,f3339,f3340,f3342,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3369,f3313,f3375,f3383,f3385,f3387,f3391,f3392,f3393,f3376,f3400,f3398,f3388,f3402,f3104,f3405,f3407,f3408,f3409,f3410,f3418,f3413,f3414,f3419,f3421,f3107,f3422,f3423,f3432,f3428,f3429,f3437,f3439,f3119,f3443,f3450,f3447,f3448,f2321,f3454,f3457,f3458,f3461,f3463,f2586,f3465,f3468,f3469,f3482,f3472,f3483,f3485,f3486,f2587,f3490,f3493,f3494,f3511,f3497,f3512,f3514,f3515,f2601,f3516,f3517,f3520,f3521,f3522,f2602,f3525,f3526,f3529,f3530,f3539,f3536,f2629,f3543,f3545,f3548,f3550,f3554,f3555,f3556,f3557,f3558,f3559,f3560,f3561,f3562,f3563,f2662,f3979,f3577,f3981,f3983,f3984,f3985,f3986,f3987,f3988,f3989,f3992,f3993,f3994,f3995,f3996,f3997,f4003,f4004,f4005,f4007,f4008,f4010,f4011,f4012,f4014,f4015,f4017,f3637,f3638,f4018,f4019,f4020,f4021,f4022,f3662,f3663,f4023,f3665,f3667,f4025,f4029,f4031,f4032,f4034,f4035,f4036,f4037,f4038,f4039,f4040,f4053,f4055,f4056,f4057,f3857,f4058,f4059,f4062,f4064,f4070,f4072,f4075,f3876,f4076,f3878,f3879,f3888,f3890,f4081,f3895,f4085,f4086,f4088,f4089,f4091,f4093,f4094,f4095,f4096,f4097,f3911,f3912,f4102,f4105,f3917,f3918,f4107,f4110,f4112,f4113,f4114,f4115,f3947,f4116,f3949,f3950,f4117,f4118,f3953,f3954,f3955,f3956,f4119,f3958,f3959,f4120,f4121,f3962,f3963,f4122,f4123,f4124,f3967,f4125,f4126,f3970,f3971,f4127,f4128,f4129,f4130,f3976,f3977,f3978,f2691,f4142,f4143,f4145,f1663,f4146,f4152,f4148,f4154,f4157,f2697,f4166,f4163,f4165,f4171,f4173,f4178,f4179,f4180,f4181,f4182,f4183,f4184,f4185,f4186,f4187,f2747,f4198,f4199,f4200,f4201,f4202,f4203,f4205,f4210,f4211,f4213,f4214,f4216,f2759,f4235,f4236,f4238,f3013,f4242,f4245,f4246,f4263,f4264,f4251,f4265,f4267,f4268,f3014,f4270,f4273,f4274,f4295,f4296,f4279,f4297,f4299,f4300,f2238,f4392,f4305,f4394,f4307,f4395,f4310,f4312,f4313,f4314,f4315,f4316,f4317,f4397,f4319,f4398,f4321,f4322,f4399,f4400,f4325,f4326,f4327,f4328,f4329,f4330,f4331,f4332,f4333,f4334,f4401,f4336,f4402,f4338,f4339,f4340,f4341,f4342,f4343,f4344,f4345,f4346,f4347,f4404,f4349,f4350,f4351,f4353,f4354,f4356,f4358,f4406,f4360,f4361,f4362,f4363,f4407,f4366,f4367,f4368])).
% 5.10/1.10 tff(f4368,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1)) | nil(X0) = rev(X0,insert(X0,X2,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f3119,f2238])).
% 5.10/1.10 tff(f4367,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f3014,f2238])).
% 5.10/1.10 tff(f4366,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f3013,f2238])).
% 5.10/1.10 tff(f4407,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rotate1(X0,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4365,f326])).
% 5.10/1.10 tff(f4365,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1)) | rev(X0,nil(X0)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2759,f2238])).
% 5.10/1.10 tff(f4363,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rotate1(X0,cons(X0,X2,X1)),X3,X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2716,f2238])).
% 5.10/1.10 tff(f4362,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,insert(X0,X2,nil(X0)),X1,rotate1(X0,cons(X0,X2,X1))) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2715,f2238])).
% 5.10/1.10 tff(f4361,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,rotate1(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),X3,X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2714,f2238])).
% 5.10/1.10 tff(f4360,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),X3,rotate1(X0,cons(X0,X2,X1)),X1) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2713,f2238])).
% 5.10/1.10 tff(f4406,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4405,f569])).
% 5.10/1.10 tff(f4405,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) = insert(X0,X2,nil(X0)) | nil(X0) != rotate1(X0,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4359,f326])).
% 5.10/1.10 tff(f4359,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1)) | rev(X0,nil(X0)) = insert(X0,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2691,f2238])).
% 5.10/1.10 tff(f4358,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rotate1(X0,cons(X0,X2,X1)),X3,X1) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2648,f2238])).
% 5.10/1.10 tff(f4356,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,rotate1(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),X1,X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2646,f2238])).
% 5.10/1.10 tff(f4354,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2587,f2238])).
% 5.10/1.10 tff(f4353,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2586,f2238])).
% 5.10/1.10 tff(f4351,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2570,f2238])).
% 5.10/1.10 tff(f4350,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~null(X0,rotate1(X0,cons(X0,X2,X1))) | X1 != X3 | nil(X0) = X3) )),
% 5.10/1.10 inference(superposition,[],[f2321,f2238])).
% 5.10/1.10 tff(f4349,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != X3 | nil(X0) = X1 | ~null(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2237,f2238])).
% 5.10/1.10 tff(f4347,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK7(X0,X1) = hd(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2213,f2238])).
% 5.10/1.10 tff(f4346,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sK3(X0,X1) = hd(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2212,f2238])).
% 5.10/1.10 tff(f4345,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1)) | cons(X0,X3,X4) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2209,f2238])).
% 5.10/1.10 tff(f4343,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rotate1(X0,cons(X0,X2,X1)),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f607,f2238])).
% 5.10/1.10 tff(f4342,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,nil(X0),insert(X0,X2,nil(X0)),X1,rotate1(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f604,f2238])).
% 5.10/1.10 tff(f4341,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,rotate1(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f599,f2238])).
% 5.10/1.10 tff(f4340,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),nil(X0),rotate1(X0,cons(X0,X2,X1)),X1)) )),
% 5.10/1.10 inference(superposition,[],[f596,f2238])).
% 5.10/1.10 tff(f4339,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (sP2(X0,rotate1(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),cons(X0,X3,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f538,f2238])).
% 5.10/1.10 tff(f4338,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (sP1(X0,rotate1(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),cons(X0,X3,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f534,f2238])).
% 5.10/1.10 tff(f4336,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,insert(X0,X2,nil(X0)),rotate1(X0,cons(X0,X2,X1)),X3,append(X0,X3,X1))) )),
% 5.10/1.10 inference(superposition,[],[f532,f2238])).
% 5.10/1.10 tff(f4334,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (sP0(X0,rotate1(X0,cons(X0,X2,X1)),insert(X0,X2,nil(X0)),append(X0,X3,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f530,f2238])).
% 5.10/1.10 tff(f4333,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != rotate1(X0,cons(X0,X2,X1)) | sP2(X0,X4,insert(X0,X2,nil(X0)),X1,X3)) )),
% 5.10/1.10 inference(superposition,[],[f479,f2238])).
% 5.10/1.10 tff(f4332,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != rotate1(X0,cons(X0,X2,X1)) | sP1(X0,X4,insert(X0,X2,nil(X0)),X1,X3)) )),
% 5.10/1.10 inference(superposition,[],[f471,f2238])).
% 5.10/1.10 tff(f4331,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,X4) | sP0(X0,insert(X0,X2,nil(X0)),X4,X3,X1)) )),
% 5.10/1.10 inference(superposition,[],[f463,f2238])).
% 5.10/1.10 tff(f4330,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,X4) | sP0(X0,X4,insert(X0,X2,nil(X0)),X1,X3)) )),
% 5.10/1.10 inference(superposition,[],[f463,f2238])).
% 5.10/1.10 tff(f4329,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X1,X3) | insert(X0,X2,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f2238])).
% 5.10/1.10 tff(f4328,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X1,X3) | insert(X0,X2,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f2238])).
% 5.10/1.10 tff(f4327,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X2,nil(X0))) | X1 = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f2238])).
% 5.10/1.10 tff(f4326,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != append(X0,X3,insert(X0,X2,nil(X0))) | X1 = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f2238])).
% 5.10/1.10 tff(f4325,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (append(X0,cons(X0,X3,X1),insert(X0,X2,nil(X0))) = cons(X0,X3,rotate1(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f430,f2238])).
% 5.10/1.10 tff(f4400,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,rotate1(X0,cons(X0,X2,X1)),X3) = append(X0,X1,cons(X0,X2,X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4324,f2164])).
% 5.10/1.10 tff(f4324,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,insert(X0,X2,nil(X0)),X3)) = append(X0,rotate1(X0,cons(X0,X2,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f429,f2238])).
% 5.10/1.10 tff(f4399,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4323,f569])).
% 5.10/1.10 tff(f4323,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1)) | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f416,f2238])).
% 5.10/1.10 tff(f4322,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != rotate1(X0,cons(X0,X2,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f415,f2238])).
% 5.10/1.10 tff(f4321,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) != insert(X0,X2,nil(X0)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f409,f2238])).
% 5.10/1.10 tff(f4319,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (hd(X0,X1) = hd(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f387,f2238])).
% 5.10/1.10 tff(f4397,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,rotate1(X0,cons(X0,X2,X1))) = X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4396,f566])).
% 5.10/1.10 tff(f4396,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,insert(X0,X2,nil(X0))) = last(X0,rotate1(X0,cons(X0,X2,X1)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4318,f569])).
% 5.10/1.10 tff(f4318,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (last(X0,insert(X0,X2,nil(X0))) = last(X0,rotate1(X0,cons(X0,X2,X1))) | nil(X0) = insert(X0,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f385,f2238])).
% 5.10/1.10 tff(f4310,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) = rev(X0,rev(X0,X3)) | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2238,f823])).
% 5.10/1.10 tff(f4307,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (cons(X0,X1,insert(X0,X2,nil(X0))) = rotate1(X0,cons(X0,X2,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2238,f2164])).
% 5.10/1.10 tff(f4394,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rotate1(X0,append(X0,cons(X0,X3,X1),X2)) = append(X0,X1,rotate1(X0,cons(X0,X3,X2)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4393,f2238])).
% 5.10/1.10 tff(f4393,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) = rotate1(X0,append(X0,cons(X0,X3,X1),X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4306,f430])).
% 5.10/1.10 tff(f4306,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) = rotate1(X0,cons(X0,X3,append(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f2238,f429])).
% 5.10/1.10 tff(f4305,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rotate1(X0,cons(X0,X2,X1)) = insert(X0,X2,nil(X0)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2238,f2570])).
% 5.10/1.10 tff(f4392,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X3,X2) = rotate1(X0,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4302,f328])).
% 5.10/1.10 tff(f4302,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X3,rev(X0,rev(X0,X2))) = rotate1(X0,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2238,f823])).
% 5.10/1.10 tff(f2238,plain,(
% 5.10/1.10 ( ! [X1 : $tType,X2 : list(X1),X3 : X1] : (rotate1(X1,cons(X1,X3,X2)) = append(X1,X2,insert(X1,X3,nil(X1)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f432,f335])).
% 5.10/1.10 tff(f4300,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK7(X0,X1),sK8(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4290,f415])).
% 5.10/1.10 tff(f4290,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK7(X0,X1),sK8(X0,append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f351,f3014])).
% 5.10/1.10 tff(f4299,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK7(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4298,f430])).
% 5.10/1.10 tff(f4298,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4288,f415])).
% 5.10/1.10 tff(f4288,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1927,f3014])).
% 5.10/1.10 tff(f4297,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4280,f326])).
% 5.10/1.10 tff(f4280,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3014,f631])).
% 5.10/1.10 tff(f4279,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | sK7(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3014,f823])).
% 5.10/1.10 tff(f4296,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4278,f565])).
% 5.10/1.10 tff(f4278,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (sK7(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3014,f2662])).
% 5.10/1.10 tff(f4295,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4276,f328])).
% 5.10/1.10 tff(f4276,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3014,f823])).
% 5.10/1.10 tff(f4274,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK7(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f3014,f376])).
% 5.10/1.10 tff(f4273,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,rev(X0,X1)) = sK7(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f3014,f378])).
% 5.10/1.10 tff(f4270,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,append(X0,X1,X2)) = sK7(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f3014,f429])).
% 5.10/1.10 tff(f3014,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK7(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2983,f351])).
% 5.10/1.10 tff(f4268,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK3(X0,X1),sK8(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4260,f415])).
% 5.10/1.10 tff(f4260,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK3(X0,X1),sK8(X0,append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f351,f3013])).
% 5.10/1.10 tff(f4267,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK3(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4266,f430])).
% 5.10/1.10 tff(f4266,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4258,f415])).
% 5.10/1.10 tff(f4258,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1927,f3013])).
% 5.10/1.10 tff(f4265,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4252,f326])).
% 5.10/1.10 tff(f4252,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3013,f631])).
% 5.10/1.10 tff(f4251,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | sK7(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3013,f823])).
% 5.10/1.10 tff(f4264,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4250,f565])).
% 5.10/1.10 tff(f4250,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (sK3(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3013,f2662])).
% 5.10/1.10 tff(f4263,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4248,f328])).
% 5.10/1.10 tff(f4248,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3013,f823])).
% 5.10/1.10 tff(f4246,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK7(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f3013,f376])).
% 5.10/1.10 tff(f4245,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,rev(X0,X1)) = sK7(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f3013,f378])).
% 5.10/1.10 tff(f4242,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,append(X0,X1,X2)) = sK7(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f3013,f429])).
% 5.10/1.10 tff(f3013,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2983,f347])).
% 5.10/1.10 tff(f4238,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rev(X0,rev(X0,X3)) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4233,f326])).
% 5.10/1.10 tff(f4233,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | rev(X0,nil(X0)) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2759,f823])).
% 5.10/1.10 tff(f4236,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X1) | nil(X0) != rev(X0,append(X0,X2,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4230,f326])).
% 5.10/1.10 tff(f4230,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | rev(X0,nil(X0)) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2759,f378])).
% 5.10/1.10 tff(f4235,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,X2) | nil(X0) != append(X0,X1,append(X0,X2,X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4227,f326])).
% 5.10/1.10 tff(f4227,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | rev(X0,nil(X0)) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2759,f429])).
% 5.10/1.10 tff(f2759,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | rev(X0,nil(X0)) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2699,f416])).
% 5.10/1.10 tff(f2699,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2571,f631])).
% 5.10/1.10 tff(f4216,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,X1) != rev(X0,rev(X0,X3)) | nil(X0) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2747,f823])).
% 5.10/1.10 tff(f4214,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (cons(X0,X3,takeWhile(X0,X1,X2)) != X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2747,f376])).
% 5.10/1.10 tff(f4213,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != cons(X0,X3,rev(X0,X1)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2747,f378])).
% 5.10/1.10 tff(f4211,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X1,X2) != cons(X0,X3,insert(X0,X1,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2747,f2164])).
% 5.10/1.10 tff(f4210,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (append(X0,X1,append(X0,X2,X3)) != cons(X0,X4,append(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2747,f429])).
% 5.10/1.10 tff(f4205,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != append(X0,X2,X4) | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2747,f823])).
% 5.10/1.10 tff(f4203,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK8(X0,X1),X2) != X1 | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2747,f351])).
% 5.10/1.10 tff(f4202,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,sK4(X0,X1),X2) != X1 | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2747,f347])).
% 5.10/1.10 tff(f4201,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,sK8(X0,cons(X0,X1,X2)),X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2747,f2997])).
% 5.10/1.10 tff(f4200,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,sK4(X0,cons(X0,X1,X2)),X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2747,f2525])).
% 5.10/1.10 tff(f4199,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,nil(X0),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2747,f335])).
% 5.10/1.10 tff(f4198,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != append(X0,append(X0,X2,X3),X4) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2747,f430])).
% 5.10/1.10 tff(f2747,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,X2,X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2133,f2571])).
% 5.10/1.10 tff(f4183,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,X2),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1098,f4165])).
% 5.10/1.10 tff(f4182,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,X2),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1097,f4165])).
% 5.10/1.10 tff(f4181,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),X2,X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1096,f4165])).
% 5.10/1.10 tff(f4180,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,X2)) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1095,f4165])).
% 5.10/1.10 tff(f4179,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1094,f4165])).
% 5.10/1.10 tff(f4178,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,X2),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1093,f4165])).
% 5.10/1.10 tff(f4171,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4165,f823])).
% 5.10/1.10 tff(f4165,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(trivial_inequality_removal,[],[f4161])).
% 5.10/1.10 tff(f4161,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != nil(X0) | takeWhile(X0,X1,X2) = X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2697,f1144])).
% 5.10/1.10 tff(f4163,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != rev(X0,rev(X0,X3)) | takeWhile(X0,X1,X2) = X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2697,f823])).
% 5.10/1.10 tff(f4166,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | takeWhile(X0,X1,X2) = X2) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f4160])).
% 5.10/1.10 tff(f4160,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | takeWhile(X0,X1,X2) = X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2697,f3545])).
% 5.10/1.10 tff(f2697,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != dropWhile(X0,X1,X2) | takeWhile(X0,X1,X2) = X2) )),
% 5.10/1.10 inference(superposition,[],[f2571,f376])).
% 5.10/1.10 tff(f4157,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != rev(X0,rev(X0,X3)) | linorder_insort_key(X0,bool,X1,X2,nil(X0)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4154,f823])).
% 5.10/1.10 tff(f4154,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (nil(X0) != linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4153,f569])).
% 5.10/1.10 tff(f4153,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (nil(X0) = insert(X0,X2,nil(X0)) | nil(X0) != linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4149,f326])).
% 5.10/1.10 tff(f4149,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (rev(X0,nil(X0)) = insert(X0,X2,nil(X0)) | nil(X0) != linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f4146,f631])).
% 5.10/1.10 tff(f4148,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : fun(X0,bool)] : (insert(X0,X2,nil(X0)) = rev(X0,rev(X0,X3)) | linorder_insort_key(X0,bool,X1,X2,nil(X0)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f4146,f823])).
% 5.10/1.10 tff(f4152,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (nil(X0) != linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4151,f569])).
% 5.10/1.10 tff(f4151,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (nil(X0) = insert(X0,X2,nil(X0)) | nil(X0) != linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4147,f565])).
% 5.10/1.10 tff(f4147,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : fun(X0,bool)] : (insert(X0,X2,nil(X0)) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) != linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f4146,f2662])).
% 5.10/1.10 tff(f4146,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : fun(X0,bool)] : (insert(X0,X2,nil(X0)) = linorder_insort_key(X0,bool,X1,X2,nil(X0))) )),
% 5.10/1.10 inference(resolution,[],[f1663,f321])).
% 5.10/1.10 tff(f1663,plain,(
% 5.10/1.10 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : fun(X1,X0)] : (~linorder(X0) | linorder_insort_key(X1,X0,X3,X2,nil(X1)) = insert(X1,X2,nil(X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f337,f335])).
% 5.10/1.10 tff(f4145,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != rev(X0,rev(X0,X3)) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4140,f326])).
% 5.10/1.10 tff(f4140,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | rev(X0,nil(X0)) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2691,f823])).
% 5.10/1.10 tff(f4143,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X2,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4137,f326])).
% 5.10/1.10 tff(f4137,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | rev(X0,nil(X0)) = rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2691,f378])).
% 5.10/1.10 tff(f4142,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = X3 | nil(X0) != append(X0,X1,append(X0,X2,X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4134,f326])).
% 5.10/1.10 tff(f4134,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | rev(X0,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f2691,f429])).
% 5.10/1.10 tff(f2691,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | rev(X0,nil(X0)) = X2) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2631,f415])).
% 5.10/1.10 tff(f2631,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2570,f631])).
% 5.10/1.10 tff(f3978,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != sK7(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2976,f2662])).
% 5.10/1.10 tff(f3977,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != sK7(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2973,f2662])).
% 5.10/1.10 tff(f3976,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != sK7(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2983,f2662])).
% 5.10/1.10 tff(f4130,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),nil(X0),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3975,f565])).
% 5.10/1.10 tff(f3975,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (cons(list(X0),butlast(X0,insert(X0,X2,nil(X0))),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f351,f2662])).
% 5.10/1.10 tff(f4129,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3974,f565])).
% 5.10/1.10 tff(f3974,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1919,f2662])).
% 5.10/1.10 tff(f4128,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3973,f565])).
% 5.10/1.10 tff(f3973,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),butlast(X0,insert(X0,X2,nil(X0))),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1927,f2662])).
% 5.10/1.10 tff(f4127,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3972,f565])).
% 5.10/1.10 tff(f3972,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f2514,f2662])).
% 5.10/1.10 tff(f3971,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != sK3(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2506,f2662])).
% 5.10/1.10 tff(f3970,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != sK3(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2503,f2662])).
% 5.10/1.10 tff(f4126,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3969,f565])).
% 5.10/1.10 tff(f3969,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (sK3(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2586,f2662])).
% 5.10/1.10 tff(f4125,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3968,f565])).
% 5.10/1.10 tff(f3968,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (sK7(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2587,f2662])).
% 5.10/1.10 tff(f3967,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != sK3(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2513,f2662])).
% 5.10/1.10 tff(f4124,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),nil(X0),sK4(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3966,f565])).
% 5.10/1.10 tff(f3966,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (cons(list(X0),butlast(X0,insert(X0,X2,nil(X0))),sK4(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f347,f2662])).
% 5.10/1.10 tff(f4123,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3965,f565])).
% 5.10/1.10 tff(f3965,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1773,f2662])).
% 5.10/1.10 tff(f4122,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3964,f565])).
% 5.10/1.10 tff(f3964,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),butlast(X0,insert(X0,X2,nil(X0))),X1)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1781,f2662])).
% 5.10/1.10 tff(f3963,plain,(
% 5.10/1.10 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),fun(list(X0),list(X0)))),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != list_rec(list(X0),X1,X2,X3,nil(X1))) )),
% 5.10/1.10 inference(superposition,[],[f428,f2662])).
% 5.10/1.10 tff(f3962,plain,(
% 5.10/1.10 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X2 | nil(X0) != list_case(list(X0),X1,X2,X3,nil(X1))) )),
% 5.10/1.10 inference(superposition,[],[f427,f2662])).
% 5.10/1.10 tff(f4121,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3961,f565])).
% 5.10/1.10 tff(f3961,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.10 inference(superposition,[],[f344,f2662])).
% 5.10/1.10 tff(f4120,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != last(list(X0),insert(list(X0),X1,nil(list(X0)))) | butlast(X0,insert(X0,X2,nil(X0))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3960,f335])).
% 5.10/1.10 tff(f3960,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != last(list(X0),cons(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f498,f2662])).
% 5.10/1.10 tff(f3959,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X3 | nil(X0) != last(list(X0),cons(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f3074,f2662])).
% 5.10/1.10 tff(f3958,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f2379,f2662])).
% 5.10/1.10 tff(f4119,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = last(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3957,f565])).
% 5.10/1.10 tff(f3957,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (last(list(X0),X2) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f381,f2662])).
% 5.10/1.10 tff(f3956,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != last(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f566,f2662])).
% 5.10/1.10 tff(f3955,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(list(X0)),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X3 | nil(X0) != last(list(X0),append(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f2374,f2662])).
% 5.10/1.10 tff(f3954,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f584,f2662])).
% 5.10/1.10 tff(f3953,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0)),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X3 | nil(X0) != last(list(X0),append(list(X0),X1,append(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f2081,f2662])).
% 5.10/1.10 tff(f4118,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = last(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3952,f565])).
% 5.10/1.10 tff(f3952,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (last(list(X0),X2) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f385,f2662])).
% 5.10/1.10 tff(f4117,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3951,f565])).
% 5.10/1.10 tff(f3951,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (butlast(X0,insert(X0,X2,nil(X0))) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.10 inference(superposition,[],[f343,f2662])).
% 5.10/1.10 tff(f3950,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != hd(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f372,f2662])).
% 5.10/1.10 tff(f3949,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != hd(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f571,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (nil(X0) != hd(list(X0),cons(list(X0),X1,X2)) | butlast(X0,insert(X0,X3,nil(X0))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3948,f2164])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != hd(list(X0),append(list(X0),insert(list(X0),X1,nil(list(X0))),X2))) )),
% 5.10/1.10 inference(superposition,[],[f2210,f2662])).
% 5.10/1.10 tff(f3947,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X4,nil(X0))) = X1 | nil(X0) != hd(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2135,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3946,f565])).
% 5.10/1.10 tff(f3946,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (hd(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f387,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3945,f565])).
% 5.10/1.10 tff(f3945,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (sK3(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2212,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3944,f565])).
% 5.10/1.10 tff(f3944,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : X0,X1 : list(list(X0))] : (sK7(list(X0),X1) = butlast(X0,insert(X0,X3,nil(X0))) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2213,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3943,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),butlast(X0,insert(X0,X2,nil(X0))),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2997,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,sK7(X0,X1),butlast(X0,insert(X0,X2,nil(X0)))) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f351,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1917,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X3 | X1 != X3 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1940,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4104,f335])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3915,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3913,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,sK3(X0,X1),butlast(X0,insert(X0,X2,nil(X0)))) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f347,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1771,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X3 | X1 != X3 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3906,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1102,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),butlast(X0,insert(X0,X3,nil(X0))),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),butlast(X0,insert(X0,X3,nil(X0))),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1100,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 tff(f4092,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 tff(f3902,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,butlast(X0,insert(X0,X3,nil(X0)))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1098,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 tff(f4090,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,butlast(X0,insert(X0,X3,nil(X0)))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1097,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3900,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),butlast(X0,insert(X0,X3,nil(X0))),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1096,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4087,f331])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3899,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,butlast(X0,insert(X0,X3,nil(X0))))) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X4,X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,nil(X0)),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,butlast(X0,insert(X0,X3,nil(X0)))),X4) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (butlast(X0,insert(X0,X3,nil(X0))) != X2 | nil(X0) = dropWhile(X0,X1,X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (append(X0,butlast(X0,insert(X0,X3,nil(X0))),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != splice(X0,nil(X0),X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != splice(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f329,f2662])).
% 5.10/1.10 tff(f3879,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f328,f2662])).
% 5.10/1.10 tff(f3878,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X3 | X1 != X3 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f823,f2662])).
% 5.10/1.10 tff(f4076,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.10 inference(global_subsumption,[],[f337,f341,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f383,f500,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f423,f519,f425,f432,f434,f433,f436,f435,f520,f437,f442,f525,f526,f527,f528,f451,f452,f453,f456,f454,f460,f459,f458,f457,f468,f467,f466,f465,f476,f475,f474,f473,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1235,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1304,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1376,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1663,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1783,f1784,f1785,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1929,f1930,f1931,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f1994,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2004,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,f2229,f2179,f2231,f2238,f2234,f2172,f2242,f2243,f2253,f2254,f2255,f2200,f2261,f2259,f2210,f2272,f2273,f2267,f2274,f2276,f2133,f2287,f2279,f2280,f2288,f2284,f2286,f2293,f2240,f2303,f2304,f2305,f455,f2306,f2307,f2308,f2309,f2316,f2317,f2187,f2319,f2320,f2322,f2326,f2188,f2327,f2329,f2330,f2338,f2339,f2164,f2384,f2343,f2351,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2377,f2380,f2382,f2383,f2379,f2396,f2397,f2392,f2398,f2201,f2401,f2402,f2414,f2415,f2410,f2367,f2417,f2418,f2419,f2424,f2425,f2368,f2427,f2428,f2429,f2434,f2435,f2369,f2444,f2439,f2440,f2441,f2445,f2370,f2447,f2448,f2449,f2454,f2455,f463,f2457,f2458,f2460,f2461,f2473,f2474,f2465,f2466,f2468,f2469,f2475,f2476,f2196,f2480,f2212,f2484,f2487,f2488,f2504,f2491,f2505,f2507,f2508,f2509,f2511,f2506,f2512,f2517,f2524,f2503,f2528,f2535,f2536,f464,f2542,f2543,f2544,f2545,f2546,f2547,f2574,f2552,f2555,f2558,f2561,f2562,f2565,f2580,f2513,f2593,f2603,f2606,f2514,f2607,f2617,f2613,f2523,f2618,f2619,f2620,f2621,f2622,f2570,f2626,f2628,f2630,f2691,f2638,f2639,f2640,f2641,f2642,f2643,f2644,f2667,f2668,f2669,f2671,f2672,f2688,f2689,f2571,f2693,f2694,f2696,f2697,f2698,f2759,f2705,f2707,f2708,f2709,f2710,f2711,f2712,f2735,f2736,f2737,f2739,f2740,f2741,f2747,f2757,f2758,f2651,f2653,f2720,f2722,f471,f2769,f2770,f2771,f2772,f2774,f2775,f2784,f2778,f2779,f2780,f2781,f2786,f2534,f2787,f2645,f2790,f2793,f2794,f2795,f2797,f2798,f2803,f2805,f2646,f2808,f2809,f2810,f2811,f2813,f2814,f2817,f2818,f2647,f2819,f2822,f2823,f2824,f2826,f2827,f2832,f2834,f2648,f2837,f2838,f2839,f2840,f2842,f2843,f2846,f2847,f2649,f2849,f2850,f2851,f2855,f2650,f2857,f2858,f2859,f2863,f2713,f2866,f2867,f2868,f2869,f2871,f2872,f2875,f2876,f2714,f2877,f2879,f2881,f2884,f2885,f2890,f2892,f2715,f2895,f2896,f2897,f2898,f2900,f2901,f2904,f2905,f472,f2909,f2910,f2911,f2912,f2716,f2916,f2918,f2920,f2923,f2924,f2929,f2931,f2717,f2933,f2934,f2935,f2936,f2939,f2718,f2940,f2941,f2942,f2943,f2946,f2213,f2950,f2953,f2954,f2974,f2957,f2975,f2977,f2978,f2979,f2981,f2976,f2982,f2987,f2996,f2973,f3000,f3009,f3010,f2983,f3013,f3014,f3032,f3033,f3022,f3034,f3037,f479,f3038,f3039,f3040,f3041,f3054,f3045,f3046,f3047,f3048,f3050,f3051,f3055,f2995,f3057,f3058,f3059,f3060,f3061,f3008,f3064,f2374,f3082,f3083,f3073,f3084,f3085,f3078,f3086,f2375,f3098,f3099,f3093,f3096,f2233,f3103,f3117,f3110,f3111,f3120,f3121,f3123,f3074,f3134,f3135,f3136,f3130,f3137,f2209,f3139,f3140,f3141,f3144,f3145,f3146,f3138,f3149,f3152,f2225,f3155,f3156,f3157,f3158,f3159,f2226,f3162,f3163,f3164,f3165,f3174,f3171,f480,f3178,f3179,f3181,f3182,f2237,f3189,f3192,f3193,f3197,f2295,f3198,f2525,f3201,f3202,f3205,f3267,f3268,f3270,f3210,f3216,f3217,f3220,f3221,f3224,f3225,f3227,f3228,f3229,f3230,f3231,f3232,f3239,f3240,f3242,f3251,f3252,f3253,f3254,f3258,f3259,f3260,f3261,f3266,f3213,f3273,f3279,f3281,f3284,f3286,f3287,f3288,f3272,f3295,f3293,f3283,f3297,f2997,f3300,f3301,f3304,f3370,f3371,f3373,f3310,f3316,f3317,f3320,f3321,f3324,f3325,f3327,f3328,f3329,f3330,f3331,f3332,f3339,f3340,f3342,f3351,f3352,f3353,f3354,f3359,f3360,f3361,f3362,f3369,f3313,f3375,f3383,f3385,f3387,f3391,f3392,f3393,f3376,f3400,f3398,f3388,f3402,f3104,f3405,f3407,f3408,f3409,f3410,f3418,f3413,f3414,f3419,f3421,f3107,f3422,f3423,f3432,f3428,f3429,f3437,f3439,f3119,f3443,f3450,f3447,f3448,f2321,f3454,f3457,f3458,f3461,f3463,f2586,f3465,f3468,f3469,f3482,f3472,f3483,f3485,f3486,f2587,f3490,f3493,f3494,f3511,f3497,f3512,f3514,f3515,f2601,f3516,f3517,f3520,f3521,f3522,f2602,f3525,f3526,f3529,f3530,f3539,f3536,f2629,f3543,f3545,f3548,f3550,f3554,f3555,f3556,f3557,f3558,f3559,f3560,f3561,f3562,f3563,f2662,f3979,f3577,f3981,f3983,f3984,f3985,f3986,f3987,f3988,f3989,f3992,f3993,f3994,f3995,f3996,f3997,f4003,f4004,f4005,f4007,f4008,f4010,f4011,f4012,f4014,f4015,f4017,f3637,f3638,f4018,f4019,f4020,f4021,f4022,f3662,f3663,f4023,f3665,f3667,f4025,f4029,f4031,f4032,f4034,f4035,f4036,f4037,f4038,f4039,f4040,f4053,f4055,f4056,f4057,f3857,f4058,f4059,f4062,f4064,f4070,f4072,f4075,f3876])).
% 5.10/1.10 tff(f3876,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (butlast(X0,insert(X0,X2,nil(X0))) != X3 | cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f918,f2662])).
% 5.10/1.10 tff(f4075,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4074,f323])).
% 5.10/1.10 tff(f4074,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3875,f565])).
% 5.10/1.10 tff(f3875,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~null(X0,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3104,f2662])).
% 5.10/1.10 tff(f4072,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4071,f323])).
% 5.10/1.10 tff(f4071,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3873,f565])).
% 5.10/1.10 tff(f3873,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2233,f2662])).
% 5.10/1.10 tff(f4070,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4069,f323])).
% 5.10/1.10 tff(f4069,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3872,f565])).
% 5.10/1.10 tff(f3872,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X2,nil(X0)))) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f3107,f2662])).
% 5.10/1.10 tff(f4064,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,nil(X0)) != X3 | cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3867,f565])).
% 5.10/1.10 tff(f3867,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,butlast(X0,insert(X0,X2,nil(X0)))) != X3 | cons(X0,X4,X3) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f918,f2662])).
% 5.10/1.10 tff(f4062,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X3 | X1 != X3 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3863,f565])).
% 5.10/1.10 tff(f3863,plain,(
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% 5.10/1.10 inference(forward_demodulation,[],[f3858,f565])).
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% 5.10/1.10 inference(superposition,[],[f590,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X3) | X1 = X3 | nil(X0) != rev(X0,X1)) )),
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% 5.10/1.10 inference(superposition,[],[f378,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = rev(X0,append(X0,X3,X1)) | nil(X0) != rev(X0,X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,nil(X0),rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3852,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,butlast(X0,insert(X0,X2,nil(X0))),rev(X0,X3)) | nil(X0) != rev(X0,X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1102,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3683,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,nil(X0),butlast(X0,insert(X0,X3,nil(X0))),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1101,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3682,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1100,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3681,f565])).
% 5.10/1.10 tff(f3681,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1099,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,nil(X0),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3680,f565])).
% 5.10/1.10 tff(f3680,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1098,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,nil(X0),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4033,f332])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,nil(X0),X4),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,butlast(X0,insert(X0,X3,nil(X0))),X4),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4030,f332])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,nil(X0),X4),X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3676,f565])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,butlast(X0,insert(X0,X3,nil(X0))),X4),X4,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1094,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,nil(X0),append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),append(X0,X4,takeWhile(X0,X1,X2)),X4) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1093,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),nil(X0)) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),butlast(X0,insert(X0,X3,nil(X0)))) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f376,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != butlast(X0,append(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f1049,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X1,X2))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,append(X0,X2,X1)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = butlast(X0,insert(X0,X3,nil(X0))) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f332,f2662])).
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% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X3 | X1 = X3 | nil(X0) != append(X0,nil(X0),X1)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP0(X0,butlast(X0,insert(X0,X4,nil(X0))),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP0(X0,X3,butlast(X0,insert(X0,X4,nil(X0))),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (append(X0,X1,append(X0,X2,X3)) = butlast(X0,insert(X0,X4,nil(X0))) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),nil(X0),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
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% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,nil(X0)) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3639,f565])).
% 5.10/1.10 tff(f3639,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,butlast(X0,insert(X0,X4,nil(X0)))) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.10 inference(superposition,[],[f1095,f2662])).
% 5.10/1.10 tff(f3638,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f331,f2662])).
% 5.10/1.10 tff(f3637,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) != X3 | X1 = X3 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f1338,f2662])).
% 5.10/1.10 tff(f4017,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4016,f565])).
% 5.10/1.10 tff(f4016,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),X4,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3625,f415])).
% 5.10/1.10 tff(f3625,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),X4,X4) | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2716,f2662])).
% 5.10/1.10 tff(f4015,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,nil(X0)) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3624,f565])).
% 5.10/1.10 tff(f3624,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2715,f2662])).
% 5.10/1.10 tff(f4014,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X4,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4013,f565])).
% 5.10/1.10 tff(f4013,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,X4,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3623,f415])).
% 5.10/1.10 tff(f3623,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,X4,X4) | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2714,f2662])).
% 5.10/1.10 tff(f4012,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,nil(X0),X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3622,f565])).
% 5.10/1.10 tff(f3622,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,butlast(X0,insert(X0,X3,nil(X0))),X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2713,f2662])).
% 5.10/1.10 tff(f4011,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3621,f565])).
% 5.10/1.10 tff(f3621,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),X4,X1) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2648,f2662])).
% 5.10/1.10 tff(f4010,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4009,f565])).
% 5.10/1.10 tff(f4009,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,X1,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3620,f416])).
% 5.10/1.10 tff(f3620,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,X1,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2647,f2662])).
% 5.10/1.10 tff(f4008,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X4) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3619,f565])).
% 5.10/1.10 tff(f3619,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,X1,X4) | nil(X0) != X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2646,f2662])).
% 5.10/1.10 tff(f4007,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f4006,f565])).
% 5.10/1.10 tff(f4006,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,butlast(X0,insert(X0,X3,nil(X0))),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3618,f416])).
% 5.10/1.10 tff(f3618,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,butlast(X0,insert(X0,X3,nil(X0))),X1) | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2645,f2662])).
% 5.10/1.10 tff(f4005,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3615,f416])).
% 5.10/1.10 tff(f3615,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X1 | nil(X0) != X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2571,f2662])).
% 5.10/1.10 tff(f4004,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3614,f415])).
% 5.10/1.10 tff(f3614,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X3,nil(X0))) = X2 | nil(X0) != X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2570,f2662])).
% 5.10/1.10 tff(f4003,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f4002,f323])).
% 5.10/1.10 tff(f4002,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (~null(X0,nil(X0)) | X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3613,f565])).
% 5.10/1.10 tff(f3613,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (~null(X0,butlast(X0,insert(X0,X3,nil(X0)))) | X1 != X4 | nil(X0) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2321,f2662])).
% 5.10/1.10 tff(f3997,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,nil(X0),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3602,f565])).
% 5.10/1.10 tff(f3602,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : X0] : (sP2(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f538,f2662])).
% 5.10/1.10 tff(f3996,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,nil(X0),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3601,f565])).
% 5.10/1.10 tff(f3601,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : X0] : (sP1(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,cons(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f534,f2662])).
% 5.10/1.10 tff(f3995,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3600,f565])).
% 5.10/1.10 tff(f3600,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f532,f2662])).
% 5.10/1.10 tff(f3994,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,nil(X0),X4,append(X0,X4,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3599,f565])).
% 5.10/1.10 tff(f3599,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,butlast(X0,insert(X0,X3,nil(X0))),X4,append(X0,X4,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f532,f2662])).
% 5.10/1.10 tff(f3993,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3598,f565])).
% 5.10/1.10 tff(f3598,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,butlast(X0,insert(X0,X3,nil(X0))),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f530,f2662])).
% 5.10/1.10 tff(f3992,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,nil(X0),X2,append(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3597,f565])).
% 5.10/1.10 tff(f3597,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (sP0(X0,butlast(X0,insert(X0,X3,nil(X0))),X2,append(X0,X4,X1),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f530,f2662])).
% 5.10/1.10 tff(f3989,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | sP0(X0,X2,X5,X4,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3594,f565])).
% 5.10/1.10 tff(f3594,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != butlast(X0,insert(X0,X3,nil(X0))) | sP0(X0,X2,X5,X4,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f463,f2662])).
% 5.10/1.10 tff(f3988,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | sP0(X0,X5,X2,X1,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3593,f565])).
% 5.10/1.10 tff(f3593,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != butlast(X0,insert(X0,X3,nil(X0))) | sP0(X0,X5,X2,X1,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f463,f2662])).
% 5.10/1.10 tff(f3987,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,X4) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3592,f565])).
% 5.10/1.10 tff(f3592,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != butlast(X0,insert(X0,X3,nil(X0))) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f445,f2662])).
% 5.10/1.10 tff(f3986,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X1,X4) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3591,f565])).
% 5.10/1.10 tff(f3591,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X1,X4) != butlast(X0,insert(X0,X3,nil(X0))) | X2 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f445,f2662])).
% 5.10/1.10 tff(f3985,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,X2) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3590,f565])).
% 5.10/1.10 tff(f3590,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X2) != butlast(X0,insert(X0,X3,nil(X0))) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f443,f2662])).
% 5.10/1.10 tff(f3984,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,X2) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3589,f565])).
% 5.10/1.10 tff(f3589,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X2) != butlast(X0,insert(X0,X3,nil(X0))) | X1 = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f443,f2662])).
% 5.10/1.10 tff(f3983,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (insert(X0,X4,nil(X0)) = append(X0,cons(X0,X4,X1),X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3982,f335])).
% 5.10/1.10 tff(f3982,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : X0] : (append(X0,cons(X0,X4,X1),X2) = cons(X0,X4,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3588,f565])).
% 5.10/1.10 tff(f3588,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : X0] : (append(X0,cons(X0,X4,X1),X2) = cons(X0,X4,butlast(X0,insert(X0,X3,nil(X0)))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f430,f2662])).
% 5.10/1.10 tff(f3981,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = X4 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3980,f332])).
% 5.10/1.10 tff(f3980,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = append(X0,nil(X0),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3587,f565])).
% 5.10/1.10 tff(f3587,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X4)) = append(X0,butlast(X0,insert(X0,X3,nil(X0))),X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f429,f2662])).
% 5.10/1.10 tff(f3577,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) = X3 | nil(X0) != X3 | butlast(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2662,f823])).
% 5.10/1.10 tff(f3979,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (butlast(X0,X2) = X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3572,f328])).
% 5.10/1.10 tff(f3572,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (butlast(X0,rev(X0,rev(X0,X2))) = X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2662,f823])).
% 5.10/1.10 tff(f2662,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (butlast(X0,insert(X0,X2,nil(X0))) = X1 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f1049,f2570])).
% 5.10/1.10 tff(f3559,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,X2,cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1098,f3545])).
% 5.10/1.10 tff(f3558,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,X2,cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1097,f3545])).
% 5.10/1.10 tff(f3557,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,X2,X3),takeWhile(X0,X1,X2),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1096,f3545])).
% 5.10/1.10 tff(f3556,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1095,f3545])).
% 5.10/1.10 tff(f3555,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,X2,X3),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1094,f3545])).
% 5.10/1.10 tff(f3554,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X2,append(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1093,f3545])).
% 5.10/1.10 tff(f3548,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3545,f823])).
% 5.10/1.10 tff(f3545,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) = X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(trivial_inequality_removal,[],[f3542])).
% 5.10/1.10 tff(f3542,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != nil(X0) | dropWhile(X0,X1,X2) = X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2629,f1139])).
% 5.10/1.10 tff(f3543,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != rev(X0,rev(X0,X3)) | dropWhile(X0,X1,X2) = X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2629,f823])).
% 5.10/1.10 tff(f2629,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) = X2) )),
% 5.10/1.10 inference(superposition,[],[f2570,f376])).
% 5.10/1.10 tff(f3536,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | sK3(X0,X5) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2602,f823])).
% 5.10/1.10 tff(f3539,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X4) != X5 | sK3(X0,X5) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3531,f328])).
% 5.10/1.10 tff(f3531,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) != X5 | sK3(X0,X5) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2602,f823])).
% 5.10/1.10 tff(f3530,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | sK7(X0,X1) = sK3(X0,X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2602,f351])).
% 5.10/1.10 tff(f3529,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | sK3(X0,X1) = sK3(X0,X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2602,f347])).
% 5.10/1.10 tff(f3526,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X2) != X3 | sK3(X0,X3) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2602,f335])).
% 5.10/1.10 tff(f3525,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,append(X0,cons(X0,X1,X2),X3),X4) != X5 | sK3(X0,X5) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2602,f430])).
% 5.10/1.10 tff(f2602,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK3(X0,X4) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2591,f328])).
% 5.10/1.10 tff(f2591,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK3(X0,rev(X0,rev(X0,X4))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2513,f823])).
% 5.10/1.10 tff(f3522,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK3(X0,append(X0,X4,X5)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2601,f823])).
% 5.10/1.10 tff(f3521,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = sK3(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2601,f351])).
% 5.10/1.10 tff(f3520,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = sK3(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2601,f347])).
% 5.10/1.10 tff(f3517,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK3(X0,append(X0,X2,X3)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2601,f335])).
% 5.10/1.10 tff(f3516,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK3(X0,append(X0,X4,X5)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2601,f430])).
% 5.10/1.10 tff(f2601,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | sK3(X0,append(X0,X3,X4)) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2588,f328])).
% 5.10/1.10 tff(f2588,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sK3(X0,append(X0,rev(X0,rev(X0,X3)),X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2513,f823])).
% 5.10/1.10 tff(f3515,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK7(X0,X1),sK4(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3506,f415])).
% 5.10/1.10 tff(f3506,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK7(X0,X1),sK4(X0,append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f347,f2587])).
% 5.10/1.10 tff(f3514,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK7(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3513,f430])).
% 5.10/1.10 tff(f3513,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3504,f415])).
% 5.10/1.10 tff(f3504,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1781,f2587])).
% 5.10/1.10 tff(f3512,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3498,f326])).
% 5.10/1.10 tff(f3498,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2587,f631])).
% 5.10/1.10 tff(f3497,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | sK3(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2587,f823])).
% 5.10/1.10 tff(f3511,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3495,f328])).
% 5.10/1.10 tff(f3495,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2587,f823])).
% 5.10/1.10 tff(f3494,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK3(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2587,f376])).
% 5.10/1.10 tff(f3493,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,rev(X0,X1)) = sK3(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2587,f378])).
% 5.10/1.10 tff(f3490,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,append(X0,X1,X2)) = sK3(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2587,f429])).
% 5.10/1.10 tff(f2587,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = sK3(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2513,f351])).
% 5.10/1.10 tff(f3486,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK3(X0,X1),sK4(X0,append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3479,f415])).
% 5.10/1.10 tff(f3479,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = cons(X0,sK3(X0,X1),sK4(X0,append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f347,f2586])).
% 5.10/1.10 tff(f3485,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK3(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3484,f430])).
% 5.10/1.10 tff(f3484,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3477,f415])).
% 5.10/1.10 tff(f3477,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1781,f2586])).
% 5.10/1.10 tff(f3483,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3473,f326])).
% 5.10/1.10 tff(f3473,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2586,f631])).
% 5.10/1.10 tff(f3472,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | sK3(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2586,f823])).
% 5.10/1.10 tff(f3482,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3470,f328])).
% 5.10/1.10 tff(f3470,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2586,f823])).
% 5.10/1.10 tff(f3469,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sK3(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2586,f376])).
% 5.10/1.10 tff(f3468,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,rev(X0,X1)) = sK3(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2586,f378])).
% 5.10/1.10 tff(f3465,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,append(X0,X1,X2)) = sK3(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2586,f429])).
% 5.10/1.10 tff(f2586,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = sK3(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2513,f347])).
% 5.10/1.10 tff(f3463,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X3 | nil(X0) = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3462,f323])).
% 5.10/1.10 tff(f3462,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | X1 != X3 | nil(X0) = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3460,f326])).
% 5.10/1.10 tff(f3460,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | X1 != X3 | nil(X0) = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2321,f631])).
% 5.10/1.10 tff(f3461,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (~null(X0,X3) | X1 != X4 | nil(X0) = X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3459,f328])).
% 5.10/1.10 tff(f3459,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X3))) | X1 != X4 | nil(X0) = X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2321,f823])).
% 5.10/1.10 tff(f3457,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,append(X0,X2,X1))) | rev(X0,X1) != X3 | nil(X0) = X3) )),
% 5.10/1.10 inference(superposition,[],[f2321,f378])).
% 5.10/1.10 tff(f3454,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (~null(X0,append(X0,X1,append(X0,X2,X3))) | append(X0,X1,X2) != X4 | nil(X0) = X4) )),
% 5.10/1.10 inference(superposition,[],[f2321,f429])).
% 5.10/1.10 tff(f2321,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,X2,X3)) | X1 != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2187,f347])).
% 5.10/1.10 tff(f3448,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3119,f823])).
% 5.10/1.10 tff(f3447,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) != X2 | nil(X0) = rev(X0,dropWhile(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3119,f376])).
% 5.10/1.10 tff(f3450,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != rev(X0,append(X0,X2,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3446,f328])).
% 5.10/1.10 tff(f3446,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | nil(X0) = rev(X0,rev(X0,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3119,f378])).
% 5.10/1.10 tff(f3443,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | nil(X0) = rev(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f3119,f429])).
% 5.10/1.10 tff(f3119,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X2) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3118,f323])).
% 5.10/1.10 tff(f3118,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3109,f328])).
% 5.10/1.10 tff(f3109,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,nil(X0)))) | nil(X0) = rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2233,f631])).
% 5.10/1.10 tff(f3439,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (nil(X0) = rev(X0,dropWhile(X0,X2,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3438,f323])).
% 5.10/1.10 tff(f3438,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,dropWhile(X0,X2,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3431,f326])).
% 5.10/1.10 tff(f3431,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | nil(X0) = rev(X0,dropWhile(X0,X2,X1)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f3107,f631])).
% 5.10/1.10 tff(f3437,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,X2) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3430,f328])).
% 5.10/1.10 tff(f3430,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X2))) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3107,f823])).
% 5.10/1.10 tff(f3428,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,X2) | nil(X0) = rev(X0,dropWhile(X0,X3,rev(X0,X1))) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f3107,f823])).
% 5.10/1.10 tff(f3423,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f3107,f641])).
% 5.10/1.10 tff(f3422,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (~null(X0,rev(X0,X2)) | nil(X0) = rev(X0,dropWhile(X0,X3,X1)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f3107,f641])).
% 5.10/1.10 tff(f3107,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (~null(X0,rev(X0,X2)) | nil(X0) = rev(X0,dropWhile(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2233,f376])).
% 5.10/1.10 tff(f3421,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3420,f323])).
% 5.10/1.10 tff(f3420,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3417,f326])).
% 5.10/1.10 tff(f3417,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,nil(X0))) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f3104,f631])).
% 5.10/1.10 tff(f3419,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,X3) | nil(X0) = rev(X0,X2) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3416,f328])).
% 5.10/1.10 tff(f3416,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,X3))) | nil(X0) = rev(X0,X2) | rev(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3104,f823])).
% 5.10/1.10 tff(f3414,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3104,f641])).
% 5.10/1.10 tff(f3413,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3104,f641])).
% 5.10/1.10 tff(f3418,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3411,f328])).
% 5.10/1.10 tff(f3411,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,rev(X0,X3)))) | nil(X0) = rev(X0,X2) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3104,f823])).
% 5.10/1.10 tff(f3410,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rev(X0,X1)) | nil(X0) = rev(X0,sK8(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f3104,f351])).
% 5.10/1.10 tff(f3409,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,rev(X0,X1)) | nil(X0) = rev(X0,sK4(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f3104,f347])).
% 5.10/1.10 tff(f3408,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,cons(X0,X1,X2))) | nil(X0) = rev(X0,sK8(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f3104,f2997])).
% 5.10/1.10 tff(f3407,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,cons(X0,X1,X2))) | nil(X0) = rev(X0,sK4(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f3104,f2525])).
% 5.10/1.10 tff(f3405,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = rev(X0,append(X0,X2,X3))) )),
% 5.10/1.10 inference(superposition,[],[f3104,f430])).
% 5.10/1.10 tff(f3104,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,cons(X0,X1,X2))) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2233,f2164])).
% 5.10/1.10 tff(f3402,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK8(X0,X3) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3388,f823])).
% 5.10/1.10 tff(f3388,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK8(X0,X2) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3385,f335])).
% 5.10/1.10 tff(f3398,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,rev(X0,X2)) | sK8(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3376,f823])).
% 5.10/1.10 tff(f3400,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK8(X0,X2) != X2 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3396,f328])).
% 5.10/1.10 tff(f3396,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != sK8(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3376,f823])).
% 5.10/1.10 tff(f3376,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) != sK8(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f3313,f335])).
% 5.10/1.10 tff(f3393,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK8(X0,X4) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3385,f823])).
% 5.10/1.10 tff(f3392,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK8(X0,X2) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f3385,f351])).
% 5.10/1.10 tff(f3387,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK8(X0,X4) != X4) )),
% 5.10/1.10 inference(superposition,[],[f3385,f430])).
% 5.10/1.10 tff(f3385,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,X3) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3381,f328])).
% 5.10/1.10 tff(f3381,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != sK8(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3313,f823])).
% 5.10/1.10 tff(f3383,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != rev(X0,rev(X0,X3)) | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3313,f823])).
% 5.10/1.10 tff(f3375,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) != sK8(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f3313,f430])).
% 5.10/1.10 tff(f3313,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f368,f2997])).
% 5.10/1.10 tff(f3369,plain,(
% 5.10/1.10 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X0))) | insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)) != sK8(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0))) )),
% 5.10/1.10 inference(superposition,[],[f1027,f2997])).
% 5.10/1.10 tff(f3362,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,cons(X0,X1,X2)),X3,cons(X0,X1,X2),X1) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2718,f2997])).
% 5.10/1.10 tff(f3361,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,cons(X0,X1,X2)),X3,cons(X0,X1,X2),X1) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2717,f2997])).
% 5.10/1.10 tff(f3360,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X3,X3,cons(X0,X1,X2),X1) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2650,f2997])).
% 5.10/1.10 tff(f3359,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X3,X3,cons(X0,X1,X2),X1) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2649,f2997])).
% 5.10/1.10 tff(f3354,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,sK8(X0,cons(X0,X1,X2)),cons(X0,X1,X2),nil(X0),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2370,f2997])).
% 5.10/1.10 tff(f3353,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,nil(X0),sK8(X0,cons(X0,X1,X2)),insert(X0,X1,nil(X0)),cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2369,f2997])).
% 5.10/1.10 tff(f3352,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X2),sK8(X0,cons(X0,X1,X2)),insert(X0,X1,nil(X0)),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2368,f2997])).
% 5.10/1.10 tff(f3351,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,sK8(X0,cons(X0,X1,X2)),nil(X0),cons(X0,X1,X2),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2367,f2997])).
% 5.10/1.10 tff(f3342,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) != append(X0,sK8(X0,cons(X0,X1,X2)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f2133,f2997])).
% 5.10/1.10 tff(f3340,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1894,f2997])).
% 5.10/1.10 tff(f3339,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | sK8(X0,cons(X0,X1,X2)) != X4 | X3 != X4) )),
% 5.10/1.10 inference(superposition,[],[f1893,f2997])).
% 5.10/1.10 tff(f3332,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,cons(X0,X1,X2)),nil(X0),cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f622,f2997])).
% 5.10/1.10 tff(f3331,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,cons(X0,X1,X2)),nil(X0),cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f616,f2997])).
% 5.10/1.10 tff(f3330,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,sK8(X0,cons(X0,X1,X2)),cons(X0,X1,X2),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f540,f2997])).
% 5.10/1.10 tff(f3329,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,sK8(X0,cons(X0,X1,X2)),X3),X3,cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f538,f2997])).
% 5.10/1.10 tff(f3328,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,sK8(X0,cons(X0,X1,X2)),cons(X0,X1,X2),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f536,f2997])).
% 5.10/1.10 tff(f3327,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,sK8(X0,cons(X0,X1,X2)),X3),X3,cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f534,f2997])).
% 5.10/1.10 tff(f3325,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | sK8(X0,cons(X0,X1,X2)) = X4) )),
% 5.10/1.10 inference(superposition,[],[f482,f2997])).
% 5.10/1.10 tff(f3324,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | sK8(X0,cons(X0,X1,X2)) = X4) )),
% 5.10/1.10 inference(superposition,[],[f482,f2997])).
% 5.10/1.10 tff(f3321,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X3,X4) | sP2(X0,sK8(X0,cons(X0,X1,X2)),X4,X3,X1)) )),
% 5.10/1.10 inference(superposition,[],[f479,f2997])).
% 5.10/1.10 tff(f3320,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X3,X4) | sP1(X0,sK8(X0,cons(X0,X1,X2)),X4,X3,X1)) )),
% 5.10/1.10 inference(superposition,[],[f471,f2997])).
% 5.10/1.10 tff(f3317,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X3,cons(X0,X1,X2))) | distinct(X0,cons(X0,X3,sK8(X0,cons(X0,X1,X2))))) )),
% 5.10/1.10 inference(superposition,[],[f440,f2997])).
% 5.10/1.10 tff(f3316,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = last(X0,sK8(X0,cons(X0,X1,X2))) | nil(X0) = sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f381,f2997])).
% 5.10/1.10 tff(f3310,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rev(X0,X3)) | cons(X0,X1,sK8(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2997,f823])).
% 5.10/1.10 tff(f3373,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3372,f335])).
% 5.10/1.10 tff(f3372,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3309,f326])).
% 5.10/1.10 tff(f3309,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,rev(X0,nil(X0))) | nil(X0) != sK8(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2997,f631])).
% 5.10/1.10 tff(f3371,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,X3) | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3308,f328])).
% 5.10/1.10 tff(f3308,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,rev(X0,rev(X0,X3))) | sK8(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2997,f823])).
% 5.10/1.10 tff(f3370,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,sK8(X0,X3)) = X3 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3306,f328])).
% 5.10/1.10 tff(f3306,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) = cons(X0,X1,sK8(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2997,f823])).
% 5.10/1.10 tff(f3304,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2997,f347])).
% 5.10/1.10 tff(f3301,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK8(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2997,f335])).
% 5.10/1.10 tff(f3300,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,sK8(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f2997,f430])).
% 5.10/1.10 tff(f2997,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK8(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2994,f370])).
% 5.10/1.10 tff(f2994,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK8(X0,cons(X0,X1,X2))) | nil(X0) = cons(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f351,f2976])).
% 5.10/1.10 tff(f3297,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK4(X0,X3) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3283,f823])).
% 5.10/1.10 tff(f3283,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK4(X0,X2) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3281,f335])).
% 5.10/1.10 tff(f3293,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,rev(X0,X2)) | sK4(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3272,f823])).
% 5.10/1.10 tff(f3295,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK4(X0,X2) != X2 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3291,f328])).
% 5.10/1.10 tff(f3291,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != sK4(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3272,f823])).
% 5.10/1.10 tff(f3272,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) != sK4(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f3213,f335])).
% 5.10/1.10 tff(f3288,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK4(X0,X4) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3281,f823])).
% 5.10/1.10 tff(f3287,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK4(X0,X2) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f3281,f351])).
% 5.10/1.10 tff(f3284,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK4(X0,X4) != X4) )),
% 5.10/1.10 inference(superposition,[],[f3281,f430])).
% 5.10/1.10 tff(f3281,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,X3) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3277,f328])).
% 5.10/1.10 tff(f3277,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != sK4(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3213,f823])).
% 5.10/1.10 tff(f3279,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != rev(X0,rev(X0,X3)) | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3213,f823])).
% 5.10/1.10 tff(f3273,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) != sK4(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f3213,f430])).
% 5.10/1.10 tff(f3213,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f368,f2525])).
% 5.10/1.10 tff(f3266,plain,(
% 5.10/1.10 ( ! [X0 : list(arrow_411405190le_alt),X1 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X0))) | insert(arrow_411405190le_alt,X1,nil(arrow_411405190le_alt)) != sK4(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0))) )),
% 5.10/1.10 inference(superposition,[],[f1027,f2525])).
% 5.10/1.10 tff(f3261,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,cons(X0,X1,X2)),X3,cons(X0,X1,X2),X1) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2718,f2525])).
% 5.10/1.10 tff(f3260,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,cons(X0,X1,X2)),X3,cons(X0,X1,X2),X1) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2717,f2525])).
% 5.10/1.10 tff(f3259,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X3,X3,cons(X0,X1,X2),X1) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2650,f2525])).
% 5.10/1.10 tff(f3258,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X3,X3,cons(X0,X1,X2),X1) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2649,f2525])).
% 5.10/1.10 tff(f3254,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,sK4(X0,cons(X0,X1,X2)),cons(X0,X1,X2),nil(X0),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2370,f2525])).
% 5.10/1.10 tff(f3253,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,nil(X0),sK4(X0,cons(X0,X1,X2)),insert(X0,X1,nil(X0)),cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2369,f2525])).
% 5.10/1.10 tff(f3252,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X2),sK4(X0,cons(X0,X1,X2)),insert(X0,X1,nil(X0)),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2368,f2525])).
% 5.10/1.10 tff(f3251,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,sK4(X0,cons(X0,X1,X2)),nil(X0),cons(X0,X1,X2),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2367,f2525])).
% 5.10/1.10 tff(f3242,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) != append(X0,sK4(X0,cons(X0,X1,X2)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f2133,f2525])).
% 5.10/1.10 tff(f3240,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1894,f2525])).
% 5.10/1.10 tff(f3239,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | sK4(X0,cons(X0,X1,X2)) != X4 | X3 != X4) )),
% 5.10/1.10 inference(superposition,[],[f1893,f2525])).
% 5.10/1.10 tff(f3232,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,cons(X0,X1,X2)),nil(X0),cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f622,f2525])).
% 5.10/1.10 tff(f3231,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,cons(X0,X1,X2)),nil(X0),cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f616,f2525])).
% 5.10/1.10 tff(f3230,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,sK4(X0,cons(X0,X1,X2)),cons(X0,X1,X2),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f540,f2525])).
% 5.10/1.10 tff(f3229,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,sK4(X0,cons(X0,X1,X2)),X3),X3,cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f538,f2525])).
% 5.10/1.10 tff(f3228,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,sK4(X0,cons(X0,X1,X2)),cons(X0,X1,X2),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f536,f2525])).
% 5.10/1.10 tff(f3227,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,sK4(X0,cons(X0,X1,X2)),X3),X3,cons(X0,X1,X2),X1)) )),
% 5.10/1.10 inference(superposition,[],[f534,f2525])).
% 5.10/1.10 tff(f3225,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | sK4(X0,cons(X0,X1,X2)) = X4) )),
% 5.10/1.10 inference(superposition,[],[f482,f2525])).
% 5.10/1.10 tff(f3224,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | sK4(X0,cons(X0,X1,X2)) = X4) )),
% 5.10/1.10 inference(superposition,[],[f482,f2525])).
% 5.10/1.10 tff(f3221,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X3,X4) | sP2(X0,sK4(X0,cons(X0,X1,X2)),X4,X3,X1)) )),
% 5.10/1.10 inference(superposition,[],[f479,f2525])).
% 5.10/1.10 tff(f3220,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X3,X4) | sP1(X0,sK4(X0,cons(X0,X1,X2)),X4,X3,X1)) )),
% 5.10/1.10 inference(superposition,[],[f471,f2525])).
% 5.10/1.10 tff(f3217,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (~distinct(X0,cons(X0,X3,cons(X0,X1,X2))) | distinct(X0,cons(X0,X3,sK4(X0,cons(X0,X1,X2))))) )),
% 5.10/1.10 inference(superposition,[],[f440,f2525])).
% 5.10/1.10 tff(f3216,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = last(X0,sK4(X0,cons(X0,X1,X2))) | nil(X0) = sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f381,f2525])).
% 5.10/1.10 tff(f3210,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rev(X0,X3)) | cons(X0,X1,sK4(X0,cons(X0,X1,X2))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2525,f823])).
% 5.10/1.10 tff(f3270,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3269,f335])).
% 5.10/1.10 tff(f3269,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3209,f326])).
% 5.10/1.10 tff(f3209,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,rev(X0,nil(X0))) | nil(X0) != sK4(X0,cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2525,f631])).
% 5.10/1.10 tff(f3268,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,X3) | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3208,f328])).
% 5.10/1.10 tff(f3208,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,rev(X0,rev(X0,X3))) | sK4(X0,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2525,f823])).
% 5.10/1.10 tff(f3267,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,sK4(X0,X3)) = X3 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3206,f328])).
% 5.10/1.10 tff(f3206,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) = cons(X0,X1,sK4(X0,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2525,f823])).
% 5.10/1.10 tff(f3205,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2525,f351])).
% 5.10/1.10 tff(f3202,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,sK4(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f2525,f430])).
% 5.10/1.10 tff(f3201,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK4(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2525,f335])).
% 5.10/1.10 tff(f2525,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK4(X0,cons(X0,X1,X2)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2522,f370])).
% 5.10/1.10 tff(f2522,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) = cons(X0,X1,sK4(X0,cons(X0,X1,X2))) | nil(X0) = cons(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f347,f2506])).
% 5.10/1.10 tff(f3198,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | append(X0,X3,X4) != X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2295,f823])).
% 5.10/1.10 tff(f2295,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | append(X0,X2,X3) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2290,f328])).
% 5.10/1.10 tff(f2290,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,rev(X0,rev(X0,X2)),X3) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2286,f823])).
% 5.10/1.10 tff(f3197,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (X3 != X4 | nil(X0) = X1 | ~null(X0,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3194,f328])).
% 5.10/1.10 tff(f3194,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | nil(X0) = X1 | ~null(X0,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2237,f823])).
% 5.10/1.10 tff(f3192,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != X3 | nil(X0) = rev(X0,X1) | ~null(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2237,f378])).
% 5.10/1.10 tff(f3189,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) != X4 | nil(X0) = append(X0,X1,X2) | ~null(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f2237,f429])).
% 5.10/1.10 tff(f2237,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | nil(X0) = X1 | ~null(X0,X3)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2235,f328])).
% 5.10/1.10 tff(f2235,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2179,f823])).
% 5.10/1.10 tff(f3182,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : X0] : (cons(X0,X1,X2) = append(X0,cons(X0,X1,takeWhile(X0,X3,X2)),dropWhile(X0,X3,X2))) )),
% 5.10/1.10 inference(resolution,[],[f480,f1098])).
% 5.10/1.10 tff(f3181,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,X3,nil(X0)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(resolution,[],[f480,f1010])).
% 5.10/1.10 tff(f3179,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,nil(X0),X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(resolution,[],[f480,f1008])).
% 5.10/1.10 tff(f3178,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = append(X0,cons(X0,X1,X3),X2) | nil(X0) != X3) )),
% 5.10/1.10 inference(resolution,[],[f480,f2650])).
% 5.10/1.10 tff(f480,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (~sP2(X0,X1,X3,X4,X2) | cons(X0,X2,X1) = append(X0,X4,X3)) )),
% 5.10/1.10 inference(cnf_transformation,[],[f311])).
% 5.10/1.10 tff(f311,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : list(X0)] : ((cons(X0,X2,X1) = append(X0,X4,X3) | ~sP2(X0,X1,X3,X4,X2)) & (sP2(X0,X1,X3,X4,X2) | cons(X0,X2,X1) != append(X0,X4,X3)))),
% 5.10/1.10 inference(nnf_transformation,[],[f249])).
% 5.10/1.10 tff(f249,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : list(X0)] : (cons(X0,X2,X1) = append(X0,X4,X3) <=> sP2(X0,X1,X3,X4,X2))),
% 5.10/1.10 inference(definition_folding,[],[f197,f248])).
% 5.10/1.10 tff(f197,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : list(X0)] : (cons(X0,X2,X1) = append(X0,X4,X3) <=> (? [X5 : list(X0)] : (append(X0,X5,X3) = X1 & cons(X0,X2,X5) = X4) | (cons(X0,X2,X1) = X3 & nil(X0) = X4)))),
% 5.10/1.10 inference(rectify,[],[f63])).
% 5.10/1.10 tff(f63,axiom,(
% 5.10/1.10 ! [X0 : $tType,X11 : list(X0),X28 : X0,X32 : list(X0),X31 : list(X0)] : (cons(X0,X28,X11) = append(X0,X31,X32) <=> (? [X39 : list(X0)] : (append(X0,X39,X32) = X11 & cons(X0,X28,X39) = X31) | (cons(X0,X28,X11) = X32 & nil(X0) = X31)))),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_append__eq__Cons__conv)).
% 5.10/1.10 tff(f3171,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | hd(X0,X5) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2226,f823])).
% 5.10/1.10 tff(f3174,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X4) != X5 | hd(X0,X5) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3166,f328])).
% 5.10/1.10 tff(f3166,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) != X5 | hd(X0,X5) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2226,f823])).
% 5.10/1.10 tff(f3165,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | sK7(X0,X1) = hd(X0,X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2226,f351])).
% 5.10/1.10 tff(f3164,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | sK3(X0,X1) = hd(X0,X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2226,f347])).
% 5.10/1.10 tff(f3163,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,append(X0,cons(X0,X1,X2),X3),X4) != X5 | hd(X0,X5) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2226,f430])).
% 5.10/1.10 tff(f3162,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X2) != X3 | hd(X0,X3) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2226,f335])).
% 5.10/1.10 tff(f2226,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | hd(X0,X4) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2217,f328])).
% 5.10/1.10 tff(f2217,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (hd(X0,rev(X0,rev(X0,X4))) = X1 | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2135,f823])).
% 5.10/1.10 tff(f3159,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | hd(X0,append(X0,X4,X5)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2225,f823])).
% 5.10/1.10 tff(f3158,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = hd(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2225,f351])).
% 5.10/1.10 tff(f3157,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = hd(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2225,f347])).
% 5.10/1.10 tff(f3156,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | hd(X0,append(X0,X4,X5)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2225,f430])).
% 5.10/1.10 tff(f3155,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | hd(X0,append(X0,X2,X3)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2225,f335])).
% 5.10/1.10 tff(f2225,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | hd(X0,append(X0,X3,X4)) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2214,f328])).
% 5.10/1.10 tff(f2214,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (hd(X0,append(X0,rev(X0,rev(X0,X3)),X4)) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2135,f823])).
% 5.10/1.10 tff(f3152,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3138,f823])).
% 5.10/1.10 tff(f3138,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2209,f331])).
% 5.10/1.10 tff(f3146,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | cons(X0,X4,X5) != X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2209,f823])).
% 5.10/1.10 tff(f3144,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | rev(X0,X1) != cons(X0,X3,X4)) )),
% 5.10/1.10 inference(superposition,[],[f2209,f378])).
% 5.10/1.10 tff(f3141,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | append(X0,X1,X2) != cons(X0,X4,X5)) )),
% 5.10/1.10 inference(superposition,[],[f2209,f429])).
% 5.10/1.10 tff(f3140,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != X2 | cons(X0,X3,X4) != X1 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2209,f2570])).
% 5.10/1.10 tff(f3139,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != X1 | cons(X0,X3,X4) != X1 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2209,f2571])).
% 5.10/1.10 tff(f2209,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X3,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2204,f328])).
% 5.10/1.10 tff(f2204,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,rev(X0,rev(X0,X3)),X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2134,f823])).
% 5.10/1.10 tff(f3137,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = X3 | nil(X0) != last(list(X0),cons(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3131,f326])).
% 5.10/1.10 tff(f3131,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X3 | nil(X0) != last(list(X0),cons(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f3074,f631])).
% 5.10/1.10 tff(f3130,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X3 | last(list(X0),cons(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0)))))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f3074,f823])).
% 5.10/1.10 tff(f3136,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : list(X0)] : (last(X0,X4) = X3 | cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3128,f328])).
% 5.10/1.10 tff(f3128,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0,X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X3 | cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f3074,f823])).
% 5.10/1.10 tff(f3135,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,X3)) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3126,f328])).
% 5.10/1.10 tff(f3126,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f3074,f823])).
% 5.10/1.10 tff(f3134,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : X0] : (last(X0,cons(X0,X3,cons(X0,X4,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3124,f328])).
% 5.10/1.10 tff(f3124,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : X0] : (last(X0,cons(X0,X3,cons(X0,X4,rev(X0,rev(X0,X2))))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3074,f823])).
% 5.10/1.10 tff(f3074,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0] : (last(X0,cons(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))) = X3) )),
% 5.10/1.10 inference(superposition,[],[f2374,f2164])).
% 5.10/1.10 tff(f3123,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3122,f323])).
% 5.10/1.10 tff(f3122,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3114,f326])).
% 5.10/1.10 tff(f3114,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,nil(X0))) | nil(X0) = rev(X0,X2) | nil(X0) != rev(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2233,f631])).
% 5.10/1.10 tff(f3121,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,X3) | nil(X0) = rev(X0,X2) | rev(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3113,f328])).
% 5.10/1.10 tff(f3113,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,X3))) | nil(X0) = rev(X0,X2) | rev(X0,append(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2233,f823])).
% 5.10/1.10 tff(f3120,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3112,f323])).
% 5.10/1.10 tff(f3112,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,nil(X0)) | nil(X0) = rev(X0,X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2233,f583])).
% 5.10/1.10 tff(f3111,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2233,f641])).
% 5.10/1.10 tff(f3110,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2233,f641])).
% 5.10/1.10 tff(f3117,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,X3)) | nil(X0) = rev(X0,X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3108,f328])).
% 5.10/1.10 tff(f3108,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,rev(X0,rev(X0,X3)))) | nil(X0) = rev(X0,X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2233,f823])).
% 5.10/1.10 tff(f3103,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,append(X0,X1,append(X0,X2,X3)))) | nil(X0) = rev(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2233,f429])).
% 5.10/1.10 tff(f2233,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2179,f378])).
% 5.10/1.10 tff(f3096,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2375,f823])).
% 5.10/1.10 tff(f3093,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : X0] : (nil(X0) != append(X0,X1,append(X0,X2,cons(X0,X3,insert(X0,X4,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f2375,f429])).
% 5.10/1.10 tff(f3099,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,X3) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3089,f328])).
% 5.10/1.10 tff(f3089,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,rev(X0,X3))) | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2375,f823])).
% 5.10/1.10 tff(f3098,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != append(X0,X3,cons(X0,X4,X2)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3087,f328])).
% 5.10/1.10 tff(f3087,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (nil(X0) != append(X0,X3,cons(X0,X4,rev(X0,rev(X0,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2375,f823])).
% 5.10/1.10 tff(f2375,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,X3,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2080,f2164])).
% 5.10/1.10 tff(f3086,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(list(X0))] : (nil(X0) = X3 | nil(X0) != last(list(X0),append(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3079,f326])).
% 5.10/1.10 tff(f3079,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,nil(X0)) = X3 | nil(X0) != last(list(X0),append(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f2374,f631])).
% 5.10/1.10 tff(f3078,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(list(X0)),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X3 | last(list(X0),append(list(X0),X1,cons(list(X0),X2,insert(list(X0),X3,nil(list(X0)))))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2374,f823])).
% 5.10/1.10 tff(f3085,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (last(X0,nil(X0)) = X3 | nil(X0) != append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3077,f326])).
% 5.10/1.10 tff(f3077,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (last(X0,rev(X0,nil(X0))) = X3 | nil(X0) != append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2374,f631])).
% 5.10/1.10 tff(f3084,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,X4) = X3 | append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3076,f328])).
% 5.10/1.10 tff(f3076,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X3 | append(X0,X1,cons(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2374,f823])).
% 5.10/1.10 tff(f3073,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : X0] : (last(X0,append(X0,X1,append(X0,X2,cons(X0,X3,insert(X0,X4,nil(X0)))))) = X4) )),
% 5.10/1.10 inference(superposition,[],[f2374,f429])).
% 5.10/1.10 tff(f3083,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,X3)) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3069,f328])).
% 5.10/1.10 tff(f3069,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,rev(X0,X3)))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2374,f823])).
% 5.10/1.10 tff(f3082,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,append(X0,X3,cons(X0,X4,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3067,f328])).
% 5.10/1.10 tff(f3067,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (last(X0,append(X0,X3,cons(X0,X4,rev(X0,rev(X0,X2))))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2374,f823])).
% 5.10/1.10 tff(f2374,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,append(X0,X3,cons(X0,X1,insert(X0,X2,nil(X0))))) = X2) )),
% 5.10/1.10 inference(superposition,[],[f2081,f2164])).
% 5.10/1.10 tff(f3064,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK7(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f3008,f823])).
% 5.10/1.10 tff(f3008,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK7(X0,X2) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2998,f328])).
% 5.10/1.10 tff(f2998,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,rev(X0,rev(X0,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2973,f823])).
% 5.10/1.10 tff(f3061,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK7(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2995,f823])).
% 5.10/1.10 tff(f3060,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = sK7(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2995,f351])).
% 5.10/1.10 tff(f3059,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = sK7(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2995,f347])).
% 5.10/1.10 tff(f3058,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK7(X0,X4) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2995,f430])).
% 5.10/1.10 tff(f3057,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK7(X0,X2) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2995,f335])).
% 5.10/1.10 tff(f2995,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK7(X0,X3) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2985,f328])).
% 5.10/1.10 tff(f2985,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK7(X0,rev(X0,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2976,f823])).
% 5.10/1.10 tff(f3055,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X3 | sP2(X0,X5,X2,X1,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3052,f328])).
% 5.10/1.10 tff(f3052,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | sP2(X0,X5,X2,X1,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f479,f823])).
% 5.10/1.10 tff(f3051,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP2(X0,X4,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f479,f376])).
% 5.10/1.10 tff(f3050,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,append(X0,X2,X1)) != cons(X0,X3,X4) | sP2(X0,X4,rev(X0,X2),rev(X0,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f479,f378])).
% 5.10/1.10 tff(f3048,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | sP2(X0,X4,X2,insert(X0,X1,nil(X0)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f479,f2164])).
% 5.10/1.10 tff(f3047,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != append(X0,X1,append(X0,X2,X3)) | sP2(X0,X5,X3,append(X0,X1,X2),X4)) )),
% 5.10/1.10 inference(superposition,[],[f479,f429])).
% 5.10/1.10 tff(f3046,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP2(X0,X4,X2,X1,X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f479,f2570])).
% 5.10/1.10 tff(f3045,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | sP2(X0,X4,X2,X1,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f479,f2571])).
% 5.10/1.10 tff(f3054,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X3 | sP2(X0,X2,X5,X4,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3042,f328])).
% 5.10/1.10 tff(f3042,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != rev(X0,rev(X0,X3)) | sP2(X0,X2,X5,X4,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f479,f823])).
% 5.10/1.10 tff(f3041,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP2(X0,sK8(X0,X1),X3,X2,sK7(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f479,f351])).
% 5.10/1.10 tff(f3040,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP2(X0,sK4(X0,X1),X3,X2,sK3(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f479,f347])).
% 5.10/1.10 tff(f3039,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != append(X0,cons(X0,X1,X2),X3) | sP2(X0,append(X0,X2,X3),X5,X4,X1)) )),
% 5.10/1.10 inference(superposition,[],[f479,f430])).
% 5.10/1.10 tff(f3038,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,X2,X3) | sP2(X0,nil(X0),X3,X2,X1)) )),
% 5.10/1.10 inference(superposition,[],[f479,f335])).
% 5.10/1.10 tff(f479,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (cons(X0,X2,X1) != append(X0,X4,X3) | sP2(X0,X1,X3,X4,X2)) )),
% 5.10/1.10 inference(cnf_transformation,[],[f311])).
% 5.10/1.10 tff(f3037,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,sK8(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3029,f2134])).
% 5.10/1.10 tff(f3029,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,sK8(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f351,f2983])).
% 5.10/1.10 tff(f3034,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK7(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3023,f326])).
% 5.10/1.10 tff(f3023,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK7(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2983,f631])).
% 5.10/1.10 tff(f3022,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | sK7(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2983,f823])).
% 5.10/1.10 tff(f2983,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK7(X0,append(X0,cons(X0,X1,X2),X3)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2976,f430])).
% 5.10/1.10 tff(f3010,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK8(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f3007,f569])).
% 5.10/1.10 tff(f3007,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK8(X0,insert(X0,X1,nil(X0)))) | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f351,f2973])).
% 5.10/1.10 tff(f3009,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK7(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f3001,f326])).
% 5.10/1.10 tff(f3001,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK7(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2973,f631])).
% 5.10/1.10 tff(f3000,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | sK7(list(X0),insert(list(X0),X1,nil(list(X0)))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2973,f823])).
% 5.10/1.10 tff(f2973,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK7(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2972,f372])).
% 5.10/1.10 tff(f2972,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (hd(X0,cons(X0,X1,X2)) = sK7(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2951,f569])).
% 5.10/1.10 tff(f2951,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (hd(X0,cons(X0,X1,X2)) = sK7(X0,insert(X0,X1,nil(X0))) | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2213,f2164])).
% 5.10/1.10 tff(f2996,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK7(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2988,f326])).
% 5.10/1.10 tff(f2988,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK7(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2976,f631])).
% 5.10/1.10 tff(f2987,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | sK7(list(X0),cons(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2976,f823])).
% 5.10/1.10 tff(f2982,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK7(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2976,f335])).
% 5.10/1.10 tff(f2976,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,cons(X0,X1,X2)) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2961,f370])).
% 5.10/1.10 tff(f2961,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,cons(X0,X1,X2)) = X1 | nil(X0) = cons(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2213,f2135])).
% 5.10/1.10 tff(f2981,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK7(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2980,f430])).
% 5.10/1.10 tff(f2980,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2967,f415])).
% 5.10/1.10 tff(f2967,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1813,f2213])).
% 5.10/1.10 tff(f2979,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK7(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2966,f569])).
% 5.10/1.10 tff(f2966,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK7(X0,insert(X0,X1,nil(X0))) = X1 | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2210,f2213])).
% 5.10/1.10 tff(f2978,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,cons(X0,X1,X2)) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2965,f370])).
% 5.10/1.10 tff(f2965,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK7(X0,cons(X0,X1,X2)) = X1 | nil(X0) = cons(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2135,f2213])).
% 5.10/1.10 tff(f2977,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK7(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2962,f569])).
% 5.10/1.10 tff(f2962,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK7(X0,insert(X0,X1,nil(X0))) = X1 | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2213,f2210])).
% 5.10/1.10 tff(f2975,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2958,f326])).
% 5.10/1.10 tff(f2958,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2213,f631])).
% 5.10/1.10 tff(f2957,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK7(list(X0),X1) | nil(list(X0)) = X1 | hd(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2213,f823])).
% 5.10/1.10 tff(f2974,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = hd(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2955,f328])).
% 5.10/1.10 tff(f2955,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = hd(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2213,f823])).
% 5.10/1.10 tff(f2954,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (hd(X0,X2) = sK7(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2213,f376])).
% 5.10/1.10 tff(f2953,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,rev(X0,append(X0,X2,X1))) = sK7(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2213,f378])).
% 5.10/1.10 tff(f2950,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (hd(X0,append(X0,X1,append(X0,X2,X3))) = sK7(X0,append(X0,X1,X2)) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2213,f429])).
% 5.10/1.10 tff(f2213,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK7(X0,X1) = hd(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2135,f351])).
% 5.10/1.10 tff(f2946,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X2,X4,X3,X1) | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2944,f328])).
% 5.10/1.10 tff(f2944,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X2,X4,rev(X0,rev(X0,X3)),X1) | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2718,f823])).
% 5.10/1.10 tff(f2943,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK8(X0,X1),X2,X1,sK7(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2718,f351])).
% 5.10/1.10 tff(f2942,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,sK4(X0,X1),X2,X1,sK3(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2718,f347])).
% 5.10/1.10 tff(f2941,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,append(X0,X2,X3),X4,append(X0,cons(X0,X1,X2),X3),X1) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2718,f430])).
% 5.10/1.10 tff(f2940,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),X2,insert(X0,X1,nil(X0)),X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2718,f335])).
% 5.10/1.10 tff(f2718,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,X1,X2,cons(X0,X3,X1),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f538,f2571])).
% 5.10/1.10 tff(f2939,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X2,X4,X3,X1) | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2937,f328])).
% 5.10/1.10 tff(f2937,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X2,X4,rev(X0,rev(X0,X3)),X1) | nil(X0) != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2717,f823])).
% 5.10/1.10 tff(f2936,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK8(X0,X1),X2,X1,sK7(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2717,f351])).
% 5.10/1.10 tff(f2935,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,sK4(X0,X1),X2,X1,sK3(X0,X1)) | nil(X0) != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2717,f347])).
% 5.10/1.10 tff(f2934,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,append(X0,X2,X3),X4,append(X0,cons(X0,X1,X2),X3),X1) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2717,f430])).
% 5.10/1.10 tff(f2933,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),X2,insert(X0,X1,nil(X0)),X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2717,f335])).
% 5.10/1.10 tff(f2717,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,X1,X2,cons(X0,X3,X1),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f534,f2571])).
% 5.10/1.10 tff(f2929,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X3,X4,X4) | nil(X0) != X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2925,f328])).
% 5.10/1.10 tff(f2925,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),X4,X4) | nil(X0) != X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2716,f823])).
% 5.10/1.10 tff(f2924,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2716,f376])).
% 5.10/1.10 tff(f2923,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),rev(X0,append(X0,X2,X1)),X3,X3) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2716,f378])).
% 5.10/1.10 tff(f2920,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,append(X0,X1,append(X0,X2,X3)),X4,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2716,f429])).
% 5.10/1.10 tff(f2918,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X3,X3) | nil(X0) != X1 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2716,f2571])).
% 5.10/1.10 tff(f2916,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X2,X3) = append(X0,X2,append(X0,X1,X3))) )),
% 5.10/1.10 inference(resolution,[],[f2716,f464])).
% 5.10/1.10 tff(f2716,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),X1,X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f532,f2571])).
% 5.10/1.10 tff(f2912,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (cons(X0,X1,X3) = append(X0,cons(X0,X1,takeWhile(X0,X2,X3)),dropWhile(X0,X2,X3))) )),
% 5.10/1.10 inference(resolution,[],[f472,f1097])).
% 5.10/1.10 tff(f2911,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X1,nil(X0)) = cons(X0,X2,X3) | cons(X0,X2,X3) != X1) )),
% 5.10/1.10 inference(resolution,[],[f472,f1009])).
% 5.10/1.10 tff(f2910,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,nil(X0),X1) = cons(X0,X2,X3) | cons(X0,X2,X3) != X1) )),
% 5.10/1.10 inference(resolution,[],[f472,f1006])).
% 5.10/1.10 tff(f2909,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(resolution,[],[f472,f2649])).
% 5.10/1.10 tff(f472,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (~sP1(X0,X3,X1,X2,X4) | append(X0,X2,X1) = cons(X0,X4,X3)) )),
% 5.10/1.10 inference(cnf_transformation,[],[f305])).
% 5.10/1.10 tff(f305,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : X0] : ((append(X0,X2,X1) = cons(X0,X4,X3) | ~sP1(X0,X3,X1,X2,X4)) & (sP1(X0,X3,X1,X2,X4) | append(X0,X2,X1) != cons(X0,X4,X3)))),
% 5.10/1.10 inference(nnf_transformation,[],[f247])).
% 5.10/1.10 tff(f247,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : X0] : (append(X0,X2,X1) = cons(X0,X4,X3) <=> sP1(X0,X3,X1,X2,X4))),
% 5.10/1.10 inference(definition_folding,[],[f196,f246])).
% 5.10/1.10 tff(f196,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : X0] : (append(X0,X2,X1) = cons(X0,X4,X3) <=> (? [X5 : list(X0)] : (append(X0,X5,X1) = X3 & cons(X0,X4,X5) = X2) | (cons(X0,X4,X3) = X1 & nil(X0) = X2)))),
% 5.10/1.10 inference(rectify,[],[f62])).
% 5.10/1.10 tff(f62,axiom,(
% 5.10/1.10 ! [X0 : $tType,X32 : list(X0),X31 : list(X0),X11 : list(X0),X28 : X0] : (cons(X0,X28,X11) = append(X0,X31,X32) <=> (? [X39 : list(X0)] : (append(X0,X39,X32) = X11 & cons(X0,X28,X39) = X31) | (cons(X0,X28,X11) = X32 & nil(X0) = X31)))),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_Cons__eq__append__conv)).
% 5.10/1.10 tff(f2905,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,nil(X0)) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2903,f326])).
% 5.10/1.10 tff(f2903,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,rev(X0,nil(X0))) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2715,f631])).
% 5.10/1.10 tff(f2904,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,X3) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2902,f328])).
% 5.10/1.10 tff(f2902,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X2,X1,rev(X0,rev(X0,X3))) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2715,f823])).
% 5.10/1.10 tff(f2901,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2715,f376])).
% 5.10/1.10 tff(f2900,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,rev(X0,X2),rev(X0,X1),rev(X0,append(X0,X2,X1))) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2715,f378])).
% 5.10/1.10 tff(f2898,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,X2,insert(X0,X1,nil(X0)),cons(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2715,f2164])).
% 5.10/1.10 tff(f2897,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X3,append(X0,X1,X2),append(X0,X1,append(X0,X2,X3))) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2715,f429])).
% 5.10/1.10 tff(f2896,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,X2) | nil(X0) != X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2715,f2570])).
% 5.10/1.10 tff(f2895,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,X1) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2715,f2571])).
% 5.10/1.10 tff(f2715,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X3,append(X0,X3,X1)) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f532,f2571])).
% 5.10/1.10 tff(f2890,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,X2,X4,X4) | nil(X0) != X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2886,f328])).
% 5.10/1.10 tff(f2886,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,X4,X4) | nil(X0) != X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2714,f823])).
% 5.10/1.10 tff(f2885,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2714,f376])).
% 5.10/1.10 tff(f2884,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,append(X0,X2,X1)),rev(X0,X2),X3,X3) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2714,f378])).
% 5.10/1.10 tff(f2881,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X1,append(X0,X2,X3)),X3,X4,X4) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2714,f429])).
% 5.10/1.10 tff(f2879,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,X3,X3) | nil(X0) != X1 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2714,f2571])).
% 5.10/1.10 tff(f2877,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X2,X3) = append(X0,X2,append(X0,X1,X3))) )),
% 5.10/1.10 inference(resolution,[],[f2714,f464])).
% 5.10/1.10 tff(f2714,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,X1,X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f530,f2571])).
% 5.10/1.10 tff(f2876,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,nil(X0),X1) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2874,f326])).
% 5.10/1.10 tff(f2874,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,rev(X0,nil(X0)),X1) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2713,f631])).
% 5.10/1.10 tff(f2875,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,X3,X1) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2873,f328])).
% 5.10/1.10 tff(f2873,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X4,rev(X0,rev(X0,X3)),X1) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2713,f823])).
% 5.10/1.10 tff(f2872,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2713,f376])).
% 5.10/1.10 tff(f2871,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),X3,rev(X0,append(X0,X2,X1)),rev(X0,X1)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2713,f378])).
% 5.10/1.10 tff(f2869,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,X3,cons(X0,X1,X2),insert(X0,X1,nil(X0))) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2713,f2164])).
% 5.10/1.10 tff(f2868,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,X4,append(X0,X1,append(X0,X2,X3)),append(X0,X1,X2)) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2713,f429])).
% 5.10/1.10 tff(f2867,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,X2,X1) | nil(X0) != X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2713,f2570])).
% 5.10/1.10 tff(f2866,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,X1,X1) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2713,f2571])).
% 5.10/1.10 tff(f2713,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,append(X0,X3,X1),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f530,f2571])).
% 5.10/1.10 tff(f2863,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X4,X4,X3,X1) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2860,f328])).
% 5.10/1.10 tff(f2860,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X4,X4,rev(X0,rev(X0,X3)),X1) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2650,f823])).
% 5.10/1.10 tff(f2859,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,X2,X2,X1,sK7(X0,X1)) | nil(X0) != sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2650,f351])).
% 5.10/1.10 tff(f2858,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,X2,X2,X1,sK3(X0,X1)) | nil(X0) != sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2650,f347])).
% 5.10/1.10 tff(f2857,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X4,X4,append(X0,cons(X0,X1,X2),X3),X1) | nil(X0) != append(X0,X2,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2650,f430])).
% 5.10/1.10 tff(f2650,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,X2,X2,cons(X0,X3,X1),X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f538,f2570])).
% 5.10/1.10 tff(f2855,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X4,X4,X3,X1) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2852,f328])).
% 5.10/1.10 tff(f2852,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X4,X4,rev(X0,rev(X0,X3)),X1) | nil(X0) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2649,f823])).
% 5.10/1.10 tff(f2851,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,X2,X2,X1,sK7(X0,X1)) | nil(X0) != sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2649,f351])).
% 5.10/1.10 tff(f2850,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,X2,X2,X1,sK3(X0,X1)) | nil(X0) != sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2649,f347])).
% 5.10/1.10 tff(f2849,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X4,X4,append(X0,cons(X0,X1,X2),X3),X1) | nil(X0) != append(X0,X2,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2649,f430])).
% 5.10/1.10 tff(f2649,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,X2,X2,cons(X0,X3,X1),X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f534,f2570])).
% 5.10/1.10 tff(f2847,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X1) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2845,f326])).
% 5.10/1.10 tff(f2845,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,rev(X0,nil(X0)),X3,X1) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2648,f631])).
% 5.10/1.10 tff(f2846,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X3,X4,X1) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2844,f328])).
% 5.10/1.10 tff(f2844,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),X4,X1) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2648,f823])).
% 5.10/1.10 tff(f2843,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,takeWhile(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2648,f376])).
% 5.10/1.10 tff(f2842,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),rev(X0,append(X0,X2,X1)),X3,rev(X0,X1)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2648,f378])).
% 5.10/1.10 tff(f2840,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,cons(X0,X1,X2),X3,insert(X0,X1,nil(X0))) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2648,f2164])).
% 5.10/1.10 tff(f2839,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,append(X0,X1,append(X0,X2,X3)),X4,append(X0,X1,X2)) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2648,f429])).
% 5.10/1.10 tff(f2838,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X3,X1) | nil(X0) != X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2648,f2570])).
% 5.10/1.10 tff(f2837,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,X3,X1) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2648,f2571])).
% 5.10/1.10 tff(f2648,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),X1,X2) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f532,f2570])).
% 5.10/1.10 tff(f2832,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,X1,X3) | nil(X0) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2828,f328])).
% 5.10/1.10 tff(f2828,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,X1,rev(X0,rev(X0,X3))) | nil(X0) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2647,f823])).
% 5.10/1.10 tff(f2827,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2647,f376])).
% 5.10/1.10 tff(f2826,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,X1),rev(X0,append(X0,X2,X1))) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2647,f378])).
% 5.10/1.10 tff(f2824,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,X3,insert(X0,X1,nil(X0)),cons(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2647,f2164])).
% 5.10/1.10 tff(f2823,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,append(X0,X1,X2),append(X0,X1,append(X0,X2,X3))) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2647,f429])).
% 5.10/1.10 tff(f2822,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X1,X2) | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2647,f2570])).
% 5.10/1.10 tff(f2819,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X2,X3) = append(X0,append(X0,X2,X1),X3)) )),
% 5.10/1.10 inference(resolution,[],[f2647,f464])).
% 5.10/1.10 tff(f2647,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X3,append(X0,X3,X1)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f532,f2570])).
% 5.10/1.10 tff(f2818,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X3) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2816,f326])).
% 5.10/1.10 tff(f2816,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,nil(X0)),X2,X1,X3) | nil(X0) != X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2646,f631])).
% 5.10/1.10 tff(f2817,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,X2,X1,X4) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2815,f328])).
% 5.10/1.10 tff(f2815,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,X1,X4) | nil(X0) != X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2646,f823])).
% 5.10/1.10 tff(f2814,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2646,f376])).
% 5.10/1.10 tff(f2813,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,append(X0,X2,X1)),rev(X0,X2),rev(X0,X1),X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2646,f378])).
% 5.10/1.10 tff(f2811,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X2),X2,insert(X0,X1,nil(X0)),X3) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2646,f2164])).
% 5.10/1.10 tff(f2810,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X1,append(X0,X2,X3)),X3,append(X0,X1,X2),X4) | nil(X0) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2646,f429])).
% 5.10/1.10 tff(f2809,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X1,X3) | nil(X0) != X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2646,f2570])).
% 5.10/1.10 tff(f2808,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,X1,X3) | nil(X0) != X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2646,f2571])).
% 5.10/1.10 tff(f2646,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,X2,X1) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f530,f2570])).
% 5.10/1.10 tff(f2803,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,X3,X1) | nil(X0) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2799,f328])).
% 5.10/1.10 tff(f2799,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,rev(X0,rev(X0,X3)),X1) | nil(X0) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2645,f823])).
% 5.10/1.10 tff(f2798,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2645,f376])).
% 5.10/1.10 tff(f2797,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,rev(X0,append(X0,X2,X1)),rev(X0,X1)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2645,f378])).
% 5.10/1.10 tff(f2795,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,X3,cons(X0,X1,X2),insert(X0,X1,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2645,f2164])).
% 5.10/1.10 tff(f2794,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,X4,append(X0,X1,append(X0,X2,X3)),append(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2645,f429])).
% 5.10/1.10 tff(f2793,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X3,X2,X1) | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f2645,f2570])).
% 5.10/1.10 tff(f2790,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X2,X3) = append(X0,append(X0,X2,X1),X3)) )),
% 5.10/1.10 inference(resolution,[],[f2645,f464])).
% 5.10/1.10 tff(f2645,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,append(X0,X3,X1),X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f530,f2570])).
% 5.10/1.10 tff(f2787,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | sK3(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2534,f823])).
% 5.10/1.10 tff(f2534,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK3(X0,X2) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2526,f328])).
% 5.10/1.10 tff(f2526,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,rev(X0,rev(X0,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2503,f823])).
% 5.10/1.10 tff(f2786,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X3 | sP1(X0,X2,X5,X4,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2782,f328])).
% 5.10/1.10 tff(f2782,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != rev(X0,rev(X0,X3)) | sP1(X0,X2,X5,X4,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f471,f823])).
% 5.10/1.10 tff(f2781,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP1(X0,sK8(X0,X1),X3,X2,sK7(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f471,f351])).
% 5.10/1.10 tff(f2780,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X2,X3) != X1 | sP1(X0,sK4(X0,X1),X3,X2,sK3(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f471,f347])).
% 5.10/1.10 tff(f2779,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != append(X0,cons(X0,X1,X2),X3) | sP1(X0,append(X0,X2,X3),X5,X4,X1)) )),
% 5.10/1.10 inference(superposition,[],[f471,f430])).
% 5.10/1.10 tff(f2778,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != append(X0,X2,X3) | sP1(X0,nil(X0),X3,X2,X1)) )),
% 5.10/1.10 inference(superposition,[],[f471,f335])).
% 5.10/1.10 tff(f2784,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X3 | sP1(X0,X5,X2,X1,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2776,f328])).
% 5.10/1.10 tff(f2776,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | sP1(X0,X5,X2,X1,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f471,f823])).
% 5.10/1.10 tff(f2775,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP1(X0,X4,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f471,f376])).
% 5.10/1.10 tff(f2774,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (rev(X0,append(X0,X2,X1)) != cons(X0,X3,X4) | sP1(X0,X4,rev(X0,X2),rev(X0,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f471,f378])).
% 5.10/1.10 tff(f2772,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != cons(X0,X3,X4) | sP1(X0,X4,X2,insert(X0,X1,nil(X0)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f471,f2164])).
% 5.10/1.10 tff(f2771,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != append(X0,X1,append(X0,X2,X3)) | sP1(X0,X5,X3,append(X0,X1,X2),X4)) )),
% 5.10/1.10 inference(superposition,[],[f471,f429])).
% 5.10/1.10 tff(f2770,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X2 | sP1(X0,X4,X2,X1,X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f471,f2570])).
% 5.10/1.10 tff(f2769,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (cons(X0,X3,X4) != X1 | sP1(X0,X4,X2,X1,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f471,f2571])).
% 5.10/1.10 tff(f471,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (append(X0,X2,X1) != cons(X0,X4,X3) | sP1(X0,X3,X1,X2,X4)) )),
% 5.10/1.10 inference(cnf_transformation,[],[f305])).
% 5.10/1.10 tff(f2722,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X1,nil(X0),X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f607,f2571])).
% 5.10/1.10 tff(f2720,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X2,X1,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f599,f2571])).
% 5.10/1.10 tff(f2653,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X2) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f604,f2570])).
% 5.10/1.10 tff(f2651,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X2,X1) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f596,f2570])).
% 5.10/1.10 tff(f2758,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f376,f2571])).
% 5.10/1.10 tff(f2757,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,append(X0,X2,X1)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f378,f2571])).
% 5.10/1.10 tff(f2741,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2164,f2571])).
% 5.10/1.10 tff(f2740,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1094,f2571])).
% 5.10/1.10 tff(f2739,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1096,f2571])).
% 5.10/1.10 tff(f2737,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f429,f2571])).
% 5.10/1.10 tff(f2736,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),X1,X1) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.10 inference(superposition,[],[f1093,f2571])).
% 5.10/1.10 tff(f2735,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,X1) | nil(X0) != takeWhile(X0,X2,X3)) )),
% 5.10/1.10 inference(superposition,[],[f1095,f2571])).
% 5.10/1.10 tff(f2712,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,X2,X4,X3,X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f463,f2571])).
% 5.10/1.10 tff(f2711,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X1 | sP0(X0,X4,X2,X1,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f463,f2571])).
% 5.10/1.10 tff(f2710,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | X2 = X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f445,f2571])).
% 5.10/1.10 tff(f2709,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X1 | X2 = X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f445,f2571])).
% 5.10/1.10 tff(f2708,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X1 | X1 = X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f443,f2571])).
% 5.10/1.10 tff(f2707,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X1 | X1 = X3 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f443,f2571])).
% 5.10/1.10 tff(f2705,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = append(X0,X1,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f429,f2571])).
% 5.10/1.10 tff(f2698,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | nil(X0) != X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2571,f823])).
% 5.10/1.10 tff(f2696,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,append(X0,X2,X1)) | nil(X0) != rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2571,f378])).
% 5.10/1.10 tff(f2694,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2571,f2164])).
% 5.10/1.10 tff(f2693,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2571,f429])).
% 5.10/1.10 tff(f2571,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = X1 | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2540,f331])).
% 5.10/1.10 tff(f2540,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,nil(X0)) = append(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(resolution,[],[f464,f1658])).
% 5.10/1.10 tff(f2689,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f376,f2570])).
% 5.10/1.10 tff(f2688,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f378,f2570])).
% 5.10/1.10 tff(f2672,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1094,f2570])).
% 5.10/1.10 tff(f2671,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1096,f2570])).
% 5.10/1.10 tff(f2669,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f429,f2570])).
% 5.10/1.10 tff(f2668,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),takeWhile(X0,X2,X3),X1) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f1093,f2570])).
% 5.10/1.10 tff(f2667,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,takeWhile(X0,X2,X3)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f1095,f2570])).
% 5.10/1.10 tff(f2644,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X2,X4,X3,X1) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f463,f2570])).
% 5.10/1.10 tff(f2643,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X4,X2,X1,X3) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f463,f2570])).
% 5.10/1.10 tff(f2642,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X2 | X2 = X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f445,f2570])).
% 5.10/1.10 tff(f2641,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) != X2 | X2 = X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f445,f2570])).
% 5.10/1.10 tff(f2640,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X2 | X1 = X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f443,f2570])).
% 5.10/1.10 tff(f2639,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != X2 | X1 = X3 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f443,f2570])).
% 5.10/1.10 tff(f2638,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X2) = append(X0,cons(X0,X3,X1),X2) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f430,f2570])).
% 5.10/1.10 tff(f2630,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | nil(X0) != X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2570,f823])).
% 5.10/1.10 tff(f2628,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2570,f378])).
% 5.10/1.10 tff(f2626,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2570,f429])).
% 5.10/1.10 tff(f2570,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,X1) = X1 | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2538,f332])).
% 5.10/1.10 tff(f2538,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,nil(X0),X1) = append(X0,X2,X1) | nil(X0) != X2) )),
% 5.10/1.10 inference(resolution,[],[f464,f1759])).
% 5.10/1.10 tff(f2622,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | sK3(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2523,f823])).
% 5.10/1.10 tff(f2621,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK7(X0,X1) = sK3(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2523,f351])).
% 5.10/1.10 tff(f2620,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | sK3(X0,X1) = sK3(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2523,f347])).
% 5.10/1.10 tff(f2619,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | sK3(X0,X4) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2523,f430])).
% 5.10/1.10 tff(f2618,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sK3(X0,X2) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2523,f335])).
% 5.10/1.10 tff(f2523,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | sK3(X0,X3) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2515,f328])).
% 5.10/1.10 tff(f2515,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK3(X0,rev(X0,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2506,f823])).
% 5.10/1.10 tff(f2613,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f2612])).
% 5.10/1.10 tff(f2612,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f351,f2514])).
% 5.10/1.10 tff(f2617,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2608,f326])).
% 5.10/1.10 tff(f2608,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f2514,f631])).
% 5.10/1.10 tff(f2607,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2514,f823])).
% 5.10/1.10 tff(f2514,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sK3(X0,X1) = sK7(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2506,f351])).
% 5.10/1.10 tff(f2606,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,sK4(X0,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2598,f2134])).
% 5.10/1.10 tff(f2598,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = cons(X0,X1,sK4(X0,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f347,f2513])).
% 5.10/1.10 tff(f2603,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK3(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2594,f326])).
% 5.10/1.10 tff(f2594,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK3(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2513,f631])).
% 5.10/1.10 tff(f2593,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | sK3(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2513,f823])).
% 5.10/1.10 tff(f2513,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sK3(X0,append(X0,cons(X0,X1,X2),X3)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2506,f430])).
% 5.10/1.10 tff(f2580,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = X1 | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2566,f331])).
% 5.10/1.10 tff(f2566,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,nil(X0)) = append(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(resolution,[],[f464,f1726])).
% 5.10/1.10 tff(f2565,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X3,nil(X0)) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(resolution,[],[f464,f980])).
% 5.10/1.10 tff(f2562,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,X1,dropWhile(X0,X3,X2)) | nil(X0) != X2) )),
% 5.10/1.10 inference(resolution,[],[f464,f1716])).
% 5.10/1.10 tff(f2561,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,append(X0,X1,takeWhile(X0,X3,X2)),dropWhile(X0,X3,X2))) )),
% 5.10/1.10 inference(resolution,[],[f464,f1095])).
% 5.10/1.10 tff(f2558,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,takeWhile(X0,X3,X1),append(X0,dropWhile(X0,X3,X1),X2))) )),
% 5.10/1.10 inference(resolution,[],[f464,f1094])).
% 5.10/1.10 tff(f2555,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,takeWhile(X0,X3,X1),X2) | nil(X0) != X1) )),
% 5.10/1.10 inference(resolution,[],[f464,f1677])).
% 5.10/1.10 tff(f2552,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,nil(X0),X3) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(resolution,[],[f464,f979])).
% 5.10/1.10 tff(f2574,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = X2 | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2551,f332])).
% 5.10/1.10 tff(f2551,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = append(X0,nil(X0),X2) | nil(X0) != X1) )),
% 5.10/1.10 inference(resolution,[],[f464,f1692])).
% 5.10/1.10 tff(f2547,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,nil(X0)) = append(X0,X2,X3) | append(X0,X2,X3) != X1) )),
% 5.10/1.10 inference(resolution,[],[f464,f978])).
% 5.10/1.10 tff(f2546,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) = append(X0,X1,dropWhile(X0,X2,X3)) | nil(X0) != X3) )),
% 5.10/1.10 inference(resolution,[],[f464,f1648])).
% 5.10/1.10 tff(f2545,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X3) = append(X0,append(X0,X1,takeWhile(X0,X2,X3)),dropWhile(X0,X2,X3))) )),
% 5.10/1.10 inference(resolution,[],[f464,f1093])).
% 5.10/1.10 tff(f2544,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,X3) = append(X0,takeWhile(X0,X1,X2),append(X0,dropWhile(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(resolution,[],[f464,f1096])).
% 5.10/1.10 tff(f2543,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,nil(X0),X1) = append(X0,X2,X3) | append(X0,X2,X3) != X1) )),
% 5.10/1.10 inference(resolution,[],[f464,f981])).
% 5.10/1.10 tff(f2542,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,X3) = append(X0,takeWhile(X0,X1,X2),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(resolution,[],[f464,f1744])).
% 5.10/1.10 tff(f464,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (~sP0(X0,X3,X1,X2,X4) | append(X0,X2,X1) = append(X0,X4,X3)) )),
% 5.10/1.10 inference(cnf_transformation,[],[f299])).
% 5.10/1.10 tff(f299,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0)] : ((append(X0,X2,X1) = append(X0,X4,X3) | ~sP0(X0,X3,X1,X2,X4)) & (sP0(X0,X3,X1,X2,X4) | append(X0,X2,X1) != append(X0,X4,X3)))),
% 5.10/1.10 inference(nnf_transformation,[],[f245])).
% 5.10/1.10 tff(f245,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0)] : (append(X0,X2,X1) = append(X0,X4,X3) <=> sP0(X0,X3,X1,X2,X4))),
% 5.10/1.10 inference(definition_folding,[],[f195,f244])).
% 5.10/1.10 tff(f244,plain,(
% 5.10/1.10 ! [X3 : list(X0),X1 : list(X0),X0 : $tType,X2 : list(X0),X4 : list(X0)] : (sP0(X0,X3,X1,X2,X4) <=> ? [X5 : list(X0)] : ((append(X0,X5,X1) = X3 & append(X0,X4,X5) = X2) | (append(X0,X5,X3) = X1 & append(X0,X2,X5) = X4)))),
% 5.10/1.10 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 5.10/1.10 tff(f195,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0)] : (append(X0,X2,X1) = append(X0,X4,X3) <=> ? [X5 : list(X0)] : ((append(X0,X5,X1) = X3 & append(X0,X4,X5) = X2) | (append(X0,X5,X3) = X1 & append(X0,X2,X5) = X4)))),
% 5.10/1.10 inference(rectify,[],[f56])).
% 5.10/1.10 tff(f56,axiom,(
% 5.10/1.10 ! [X0 : $tType,X37 : list(X0),X32 : list(X0),X31 : list(X0),X11 : list(X0)] : (append(X0,X11,X31) = append(X0,X32,X37) <=> ? [X38 : list(X0)] : ((append(X0,X38,X37) = X31 & append(X0,X11,X38) = X32) | (append(X0,X38,X31) = X37 & append(X0,X32,X38) = X11)))),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_append__eq__append__conv2)).
% 5.10/1.10 tff(f2536,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK4(X0,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2533,f569])).
% 5.10/1.10 tff(f2533,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = cons(X0,X1,sK4(X0,insert(X0,X1,nil(X0)))) | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f347,f2503])).
% 5.10/1.10 tff(f2535,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK3(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2529,f326])).
% 5.10/1.10 tff(f2529,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK3(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f2503,f631])).
% 5.10/1.10 tff(f2528,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | sK3(list(X0),insert(list(X0),X1,nil(list(X0)))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2503,f823])).
% 5.10/1.10 tff(f2503,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK3(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2502,f372])).
% 5.10/1.10 tff(f2502,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (hd(X0,cons(X0,X1,X2)) = sK3(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2485,f569])).
% 5.10/1.10 tff(f2485,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (hd(X0,cons(X0,X1,X2)) = sK3(X0,insert(X0,X1,nil(X0))) | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2212,f2164])).
% 5.10/1.10 tff(f2524,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != sK3(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2518,f326])).
% 5.10/1.10 tff(f2518,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != sK3(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2506,f631])).
% 5.10/1.10 tff(f2517,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | sK3(list(X0),cons(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2506,f823])).
% 5.10/1.10 tff(f2512,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK3(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2506,f335])).
% 5.10/1.10 tff(f2506,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,cons(X0,X1,X2)) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2494,f370])).
% 5.10/1.10 tff(f2494,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,cons(X0,X1,X2)) = X1 | nil(X0) = cons(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2212,f2135])).
% 5.10/1.10 tff(f2511,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK3(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2510,f430])).
% 5.10/1.10 tff(f2510,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2499,f415])).
% 5.10/1.10 tff(f2499,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1813,f2212])).
% 5.10/1.10 tff(f2509,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK3(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2498,f569])).
% 5.10/1.10 tff(f2498,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK3(X0,insert(X0,X1,nil(X0))) = X1 | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2210,f2212])).
% 5.10/1.10 tff(f2508,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,cons(X0,X1,X2)) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2497,f370])).
% 5.10/1.10 tff(f2497,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sK3(X0,cons(X0,X1,X2)) = X1 | nil(X0) = cons(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2135,f2212])).
% 5.10/1.10 tff(f2507,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK3(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2495,f569])).
% 5.10/1.10 tff(f2495,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : X0] : (sK3(X0,insert(X0,X1,nil(X0))) = X1 | nil(X0) = insert(X0,X1,nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2212,f2210])).
% 5.10/1.10 tff(f2505,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2492,f326])).
% 5.10/1.10 tff(f2492,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f2212,f631])).
% 5.10/1.10 tff(f2491,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = sK3(list(X0),X1) | nil(list(X0)) = X1 | hd(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2212,f823])).
% 5.10/1.10 tff(f2504,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = hd(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2489,f328])).
% 5.10/1.10 tff(f2489,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = hd(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2212,f823])).
% 5.10/1.10 tff(f2488,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (hd(X0,X2) = sK3(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2212,f376])).
% 5.10/1.10 tff(f2487,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,rev(X0,append(X0,X2,X1))) = sK3(X0,rev(X0,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f2212,f378])).
% 5.10/1.10 tff(f2484,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (hd(X0,append(X0,X1,append(X0,X2,X3))) = sK3(X0,append(X0,X1,X2)) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2212,f429])).
% 5.10/1.10 tff(f2212,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK3(X0,X1) = hd(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2135,f347])).
% 5.10/1.10 tff(f2480,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X2 != X3 | ~null(X0,append(X0,X3,X4)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2477,f328])).
% 5.10/1.10 tff(f2477,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | ~null(X0,append(X0,X3,X4)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2196,f823])).
% 5.10/1.10 tff(f2196,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,append(X0,X2,X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2191,f328])).
% 5.10/1.10 tff(f2191,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,append(X0,rev(X0,rev(X0,X2)),X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2177,f823])).
% 5.10/1.10 tff(f2476,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X3,X4) | sP0(X0,X2,X4,X3,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2471,f326])).
% 5.10/1.10 tff(f2471,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,nil(X0)) != append(X0,X3,X4) | sP0(X0,X2,X4,X3,X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f463,f631])).
% 5.10/1.10 tff(f2475,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X3 | sP0(X0,X2,X5,X4,X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2470,f328])).
% 5.10/1.10 tff(f2470,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != rev(X0,rev(X0,X3)) | sP0(X0,X2,X5,X4,X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f463,f823])).
% 5.10/1.10 tff(f2469,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,dropWhile(X0,X1,X2),X4,X3,takeWhile(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f463,f376])).
% 5.10/1.10 tff(f2468,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,append(X0,X2,X1)) != append(X0,X3,X4) | sP0(X0,rev(X0,X2),X4,X3,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f463,f378])).
% 5.10/1.10 tff(f2466,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X3,X4) | sP0(X0,X2,X4,X3,insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f463,f2164])).
% 5.10/1.10 tff(f2465,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != append(X0,X1,append(X0,X2,X3)) | sP0(X0,X3,X5,X4,append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f463,f429])).
% 5.10/1.10 tff(f2474,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X3,X4) | sP0(X0,X4,X2,X1,X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2463,f326])).
% 5.10/1.10 tff(f2463,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,nil(X0)) != append(X0,X3,X4) | sP0(X0,X4,X2,X1,X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f463,f631])).
% 5.10/1.10 tff(f2473,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != X3 | sP0(X0,X5,X2,X1,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2462,f328])).
% 5.10/1.10 tff(f2462,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != rev(X0,rev(X0,X3)) | sP0(X0,X5,X2,X1,X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f463,f823])).
% 5.10/1.10 tff(f2461,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (append(X0,X3,X4) != X2 | sP0(X0,X4,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f463,f376])).
% 5.10/1.10 tff(f2460,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,append(X0,X2,X1)) != append(X0,X3,X4) | sP0(X0,X4,rev(X0,X2),rev(X0,X1),X3)) )),
% 5.10/1.10 inference(superposition,[],[f463,f378])).
% 5.10/1.10 tff(f2458,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != append(X0,X3,X4) | sP0(X0,X4,X2,insert(X0,X1,nil(X0)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f463,f2164])).
% 5.10/1.10 tff(f2457,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X4,X5) != append(X0,X1,append(X0,X2,X3)) | sP0(X0,X5,X3,append(X0,X1,X2),X4)) )),
% 5.10/1.10 inference(superposition,[],[f463,f429])).
% 5.10/1.10 tff(f463,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X2,X1) != append(X0,X4,X3) | sP0(X0,X3,X1,X2,X4)) )),
% 5.10/1.10 inference(cnf_transformation,[],[f299])).
% 5.10/1.10 tff(f2455,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,cons(X0,X1,X3),nil(X0),X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2452,f328])).
% 5.10/1.10 tff(f2452,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,cons(X0,X1,X3),nil(X0),rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2370,f823])).
% 5.10/1.10 tff(f2454,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,X3,nil(X0),insert(X0,X1,nil(X0))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2450,f328])).
% 5.10/1.10 tff(f2450,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,rev(X0,rev(X0,X3)),nil(X0),insert(X0,X1,nil(X0))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2370,f823])).
% 5.10/1.10 tff(f2449,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,sK8(X0,X1),X1,nil(X0),insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2370,f351])).
% 5.10/1.10 tff(f2448,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,sK4(X0,X1),X1,nil(X0),insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2370,f347])).
% 5.10/1.10 tff(f2447,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2370,f430])).
% 5.10/1.10 tff(f2370,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,X2,cons(X0,X1,X2),nil(X0),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f607,f2164])).
% 5.10/1.10 tff(f2445,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,nil(X0),X2,insert(X0,X1,nil(X0)),X3) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2442,f328])).
% 5.10/1.10 tff(f2442,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,nil(X0),X2,insert(X0,X1,nil(X0)),rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2369,f823])).
% 5.10/1.10 tff(f2441,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,nil(X0),sK8(X0,X1),insert(X0,sK7(X0,X1),nil(X0)),X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2369,f351])).
% 5.10/1.10 tff(f2440,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,nil(X0),sK4(X0,X1),insert(X0,sK3(X0,X1),nil(X0)),X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2369,f347])).
% 5.10/1.10 tff(f2439,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,nil(X0),append(X0,X2,X3),insert(X0,X1,nil(X0)),append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2369,f430])).
% 5.10/1.10 tff(f2444,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,nil(X0),X3,X2,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2436,f328])).
% 5.10/1.10 tff(f2436,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,nil(X0),X3,rev(X0,rev(X0,X2)),cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2369,f823])).
% 5.10/1.10 tff(f2369,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,nil(X0),X2,insert(X0,X1,nil(X0)),cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f604,f2164])).
% 5.10/1.10 tff(f2435,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X3),X3,X2,nil(X0)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2432,f328])).
% 5.10/1.10 tff(f2432,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X3),X3,rev(X0,rev(X0,X2)),nil(X0)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2368,f823])).
% 5.10/1.10 tff(f2434,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,X2,insert(X0,X1,nil(X0)),nil(X0)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2430,f328])).
% 5.10/1.10 tff(f2430,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,rev(X0,rev(X0,X3)),X2,insert(X0,X1,nil(X0)),nil(X0)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2368,f823])).
% 5.10/1.10 tff(f2429,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,X1,sK8(X0,X1),insert(X0,sK7(X0,X1),nil(X0)),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2368,f351])).
% 5.10/1.10 tff(f2428,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,X1,sK4(X0,X1),insert(X0,sK3(X0,X1),nil(X0)),nil(X0)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2368,f347])).
% 5.10/1.10 tff(f2427,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,append(X0,cons(X0,X1,X2),X3),append(X0,X2,X3),insert(X0,X1,nil(X0)),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f2368,f430])).
% 5.10/1.10 tff(f2368,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X2),X2,insert(X0,X1,nil(X0)),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f599,f2164])).
% 5.10/1.10 tff(f2425,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,nil(X0),cons(X0,X1,X3),X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2422,f328])).
% 5.10/1.10 tff(f2422,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,nil(X0),cons(X0,X1,X3),rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2367,f823])).
% 5.10/1.10 tff(f2424,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,nil(X0),X3,insert(X0,X1,nil(X0))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2420,f328])).
% 5.10/1.10 tff(f2420,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,nil(X0),rev(X0,rev(X0,X3)),insert(X0,X1,nil(X0))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2367,f823])).
% 5.10/1.10 tff(f2419,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,sK8(X0,X1),nil(X0),X1,insert(X0,sK7(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2367,f351])).
% 5.10/1.10 tff(f2418,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,sK4(X0,X1),nil(X0),X1,insert(X0,sK3(X0,X1),nil(X0))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2367,f347])).
% 5.10/1.10 tff(f2417,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,append(X0,X2,X3),nil(X0),append(X0,cons(X0,X1,X2),X3),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f2367,f430])).
% 5.10/1.10 tff(f2367,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP0(X0,X2,nil(X0),cons(X0,X1,X2),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f596,f2164])).
% 5.10/1.10 tff(f2410,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X5)) | append(X0,append(X0,cons(X0,X1,X2),X3),X4) != X5) )),
% 5.10/1.10 inference(superposition,[],[f2201,f823])).
% 5.10/1.10 tff(f2415,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,X4,X5) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2406,f328])).
% 5.10/1.10 tff(f2406,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,rev(X0,rev(X0,X4)),X5) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2201,f823])).
% 5.10/1.10 tff(f2414,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,append(X0,X3,X4),X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2403,f328])).
% 5.10/1.10 tff(f2403,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != append(X0,append(X0,rev(X0,rev(X0,X3)),X4),X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2201,f823])).
% 5.10/1.10 tff(f2402,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,append(X0,X1,X2),X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2201,f351])).
% 5.10/1.10 tff(f2401,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,append(X0,X1,X2),X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2201,f347])).
% 5.10/1.10 tff(f2201,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,append(X0,cons(X0,X1,X2),X3),X4)) )),
% 5.10/1.10 inference(superposition,[],[f2134,f430])).
% 5.10/1.10 tff(f2398,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2393,f326])).
% 5.10/1.10 tff(f2393,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f2379,f631])).
% 5.10/1.10 tff(f2392,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X2 | last(list(X0),cons(list(X0),X1,insert(list(X0),X2,nil(list(X0))))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2379,f823])).
% 5.10/1.10 tff(f2397,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,X3) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2390,f328])).
% 5.10/1.10 tff(f2390,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X3))) = X2 | cons(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2379,f823])).
% 5.10/1.10 tff(f2396,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (last(X0,cons(X0,X3,X2)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2388,f328])).
% 5.10/1.10 tff(f2388,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (last(X0,cons(X0,X3,rev(X0,rev(X0,X2)))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2379,f823])).
% 5.10/1.10 tff(f2379,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (last(X0,cons(X0,X1,insert(X0,X2,nil(X0)))) = X2) )),
% 5.10/1.10 inference(superposition,[],[f584,f2164])).
% 5.10/1.10 tff(f2383,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (sP0(X0,X3,dropWhile(X0,X2,X3),cons(X0,X1,takeWhile(X0,X2,X3)),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f1093,f2164])).
% 5.10/1.10 tff(f2382,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (sP0(X0,dropWhile(X0,X2,X3),X3,insert(X0,X1,nil(X0)),cons(X0,X1,takeWhile(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f1095,f2164])).
% 5.10/1.10 tff(f2380,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) != X2 | insert(X0,X1,nil(X0)) = X2) )),
% 5.10/1.10 inference(superposition,[],[f1338,f2164])).
% 5.10/1.10 tff(f2377,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) = butlast(X0,cons(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f1049,f2164])).
% 5.10/1.10 tff(f2366,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sP2(X0,cons(X0,X1,X2),X2,cons(X0,X3,insert(X0,X1,nil(X0))),X3)) )),
% 5.10/1.10 inference(superposition,[],[f538,f2164])).
% 5.10/1.10 tff(f2365,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (sP1(X0,cons(X0,X1,X2),X2,cons(X0,X3,insert(X0,X1,nil(X0))),X3)) )),
% 5.10/1.10 inference(superposition,[],[f534,f2164])).
% 5.10/1.10 tff(f2364,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X3,append(X0,X2,X3),insert(X0,X1,nil(X0)),cons(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f532,f2164])).
% 5.10/1.10 tff(f2363,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,X2,cons(X0,X1,X2),X3,append(X0,X3,insert(X0,X1,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f532,f2164])).
% 5.10/1.10 tff(f2362,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,append(X0,X2,X3),X3,cons(X0,X1,X2),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f530,f2164])).
% 5.10/1.10 tff(f2361,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP0(X0,cons(X0,X1,X2),X2,append(X0,X3,insert(X0,X1,nil(X0))),X3)) )),
% 5.10/1.10 inference(superposition,[],[f530,f2164])).
% 5.10/1.10 tff(f2360,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,insert(X0,X1,nil(X0)),X3) | X2 = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f2164])).
% 5.10/1.10 tff(f2359,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,insert(X0,X1,nil(X0)),X3) | X2 = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f2164])).
% 5.10/1.10 tff(f2358,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,X3,X2) | insert(X0,X1,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f2164])).
% 5.10/1.10 tff(f2357,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != append(X0,X3,X2) | insert(X0,X1,nil(X0)) = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f2164])).
% 5.10/1.10 tff(f2356,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (cons(X0,X3,cons(X0,X1,X2)) = append(X0,cons(X0,X3,insert(X0,X1,nil(X0))),X2)) )),
% 5.10/1.10 inference(superposition,[],[f430,f2164])).
% 5.10/1.10 tff(f2355,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,cons(X0,X1,X2),X3) = append(X0,insert(X0,X1,nil(X0)),append(X0,X2,X3))) )),
% 5.10/1.10 inference(superposition,[],[f429,f2164])).
% 5.10/1.10 tff(f2351,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X1,X2) | nil(X0) = X2) )),
% 5.10/1.10 inference(superposition,[],[f407,f2164])).
% 5.10/1.10 tff(f2343,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) = rev(X0,rev(X0,X3)) | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2164,f823])).
% 5.10/1.10 tff(f2384,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) = cons(X0,X1,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2340,f328])).
% 5.10/1.10 tff(f2340,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X3) = append(X0,rev(X0,rev(X0,X2)),X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2164,f823])).
% 5.10/1.10 tff(f2164,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = append(X0,insert(X0,X2,nil(X0)),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2125,f335])).
% 5.10/1.10 tff(f2125,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = append(X0,cons(X0,X2,nil(X0)),X1)) )),
% 5.10/1.10 inference(superposition,[],[f430,f332])).
% 5.10/1.10 tff(f2339,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (X4 != X5 | ~null(X0,X5) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2334,f328])).
% 5.10/1.10 tff(f2334,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X4)) != X5 | ~null(X0,X5) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2188,f823])).
% 5.10/1.10 tff(f2338,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X4) != X5 | ~null(X0,X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2331,f328])).
% 5.10/1.10 tff(f2331,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) != X5 | ~null(X0,X5) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2188,f823])).
% 5.10/1.10 tff(f2330,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | ~null(X0,X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2188,f351])).
% 5.10/1.10 tff(f2329,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X3 | ~null(X0,X3) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2188,f347])).
% 5.10/1.10 tff(f2327,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X2) != X3 | ~null(X0,X3)) )),
% 5.10/1.10 inference(superposition,[],[f2188,f335])).
% 5.10/1.10 tff(f2188,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | ~null(X0,X4)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2184,f328])).
% 5.10/1.10 tff(f2184,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2132,f823])).
% 5.10/1.10 tff(f2326,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (X3 != X4 | ~null(X0,append(X0,X4,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2323,f328])).
% 5.10/1.10 tff(f2323,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~null(X0,append(X0,X4,X5)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2187,f823])).
% 5.10/1.10 tff(f2322,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | ~null(X0,append(X0,X2,X3)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2187,f351])).
% 5.10/1.10 tff(f2320,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | ~null(X0,append(X0,X4,X5))) )),
% 5.10/1.10 inference(superposition,[],[f2187,f430])).
% 5.10/1.10 tff(f2319,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,append(X0,X2,X3))) )),
% 5.10/1.10 inference(superposition,[],[f2187,f335])).
% 5.10/1.10 tff(f2187,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | ~null(X0,append(X0,X3,X4))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2181,f328])).
% 5.10/1.10 tff(f2181,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~null(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2132,f823])).
% 5.10/1.10 tff(f2317,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != X3 | ~pp(aa(X0,bool,X1,X4)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2314,f328])).
% 5.10/1.10 tff(f2314,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | ~pp(aa(X0,bool,X1,X4)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f455,f823])).
% 5.10/1.10 tff(f2316,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (dropWhile(X0,X4,X5) != X3 | ~pp(aa(X0,bool,X4,X1)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2310,f328])).
% 5.10/1.10 tff(f2310,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != dropWhile(X0,X4,X5) | ~pp(aa(X0,bool,X4,X1)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f455,f823])).
% 5.10/1.10 tff(f2309,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | ~pp(aa(X0,bool,X2,sK7(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f455,f351])).
% 5.10/1.10 tff(f2308,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (dropWhile(X0,X2,X3) != X1 | ~pp(aa(X0,bool,X2,sK3(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f455,f347])).
% 5.10/1.10 tff(f2307,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : fun(X0,bool),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != dropWhile(X0,X4,X5) | ~pp(aa(X0,bool,X4,X1))) )),
% 5.10/1.10 inference(superposition,[],[f455,f430])).
% 5.10/1.10 tff(f2306,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != dropWhile(X0,X2,X3) | ~pp(aa(X0,bool,X2,X1))) )),
% 5.10/1.10 inference(superposition,[],[f455,f335])).
% 5.10/1.10 tff(f455,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (cons(X0,X2,X1) != dropWhile(X0,X4,X3) | ~pp(aa(X0,bool,X4,X2))) )),
% 5.10/1.10 inference(cnf_transformation,[],[f294])).
% 5.10/1.10 tff(f2305,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,X3) | append(X0,cons(X0,X1,insert(X0,X1,nil(X0))),X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2301,f328])).
% 5.10/1.10 tff(f2301,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | append(X0,cons(X0,X1,insert(X0,X1,nil(X0))),X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2240,f823])).
% 5.10/1.10 tff(f2304,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,X2,X3)) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2298,f328])).
% 5.10/1.10 tff(f2298,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,rev(X0,rev(X0,X2)),X3)) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2240,f823])).
% 5.10/1.10 tff(f2303,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,X2),X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2296,f328])).
% 5.10/1.10 tff(f2296,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,rev(X0,rev(X0,X2))),X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2240,f823])).
% 5.10/1.10 tff(f2240,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,insert(X0,X1,nil(X0))),X2))) )),
% 5.10/1.10 inference(superposition,[],[f2172,f335])).
% 5.10/1.10 tff(f2293,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != X2 | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2286,f823])).
% 5.10/1.10 tff(f2286,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,insert(X0,X1,nil(X0)),X2) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2277,f332])).
% 5.10/1.10 tff(f2277,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (append(X0,nil(X0),X2) != append(X0,insert(X0,X1,nil(X0)),X2)) )),
% 5.10/1.10 inference(superposition,[],[f2133,f335])).
% 5.10/1.10 tff(f2284,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X3) != rev(X0,rev(X0,X4)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2133,f823])).
% 5.10/1.10 tff(f2288,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) != append(X0,X3,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2281,f328])).
% 5.10/1.10 tff(f2281,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,X4) != append(X0,rev(X0,rev(X0,X3)),X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2133,f823])).
% 5.10/1.10 tff(f2280,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != append(X0,sK8(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2133,f351])).
% 5.10/1.10 tff(f2279,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != append(X0,sK4(X0,X1),X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2133,f347])).
% 5.10/1.10 tff(f2287,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,X2,append(X0,X3,X4)) != append(X0,append(X0,cons(X0,X1,X2),X3),X4)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2278,f429])).
% 5.10/1.10 tff(f2278,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,append(X0,X2,X3),X4) != append(X0,append(X0,cons(X0,X1,X2),X3),X4)) )),
% 5.10/1.10 inference(superposition,[],[f2133,f430])).
% 5.10/1.10 tff(f2133,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (append(X0,X2,X3) != append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f368,f430])).
% 5.10/1.10 tff(f2276,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,insert(X0,X1,nil(X0))),X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2275,f430])).
% 5.10/1.10 tff(f2275,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,append(X0,insert(X0,X1,nil(X0)),X2)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2271,f2200])).
% 5.10/1.10 tff(f2271,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,append(X0,insert(X0,X1,nil(X0)),X2))) | nil(X0) = append(X0,insert(X0,X1,nil(X0)),X2)) )),
% 5.10/1.10 inference(superposition,[],[f1813,f2210])).
% 5.10/1.10 tff(f2274,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != hd(list(X0),append(list(X0),insert(list(X0),X1,nil(list(X0))),X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2268,f326])).
% 5.10/1.10 tff(f2268,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),insert(list(X0),X1,nil(list(X0))),X2))) )),
% 5.10/1.10 inference(superposition,[],[f2210,f631])).
% 5.10/1.10 tff(f2267,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | hd(list(X0),append(list(X0),insert(list(X0),X1,nil(list(X0))),X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2210,f823])).
% 5.10/1.10 tff(f2273,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (hd(X0,X3) = X1 | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2265,f328])).
% 5.10/1.10 tff(f2265,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (hd(X0,rev(X0,rev(X0,X3))) = X1 | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2210,f823])).
% 5.10/1.10 tff(f2272,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (hd(X0,append(X0,X2,X3)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2262,f328])).
% 5.10/1.10 tff(f2262,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (hd(X0,append(X0,rev(X0,rev(X0,X2)),X3)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2210,f823])).
% 5.10/1.10 tff(f2210,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (hd(X0,append(X0,insert(X0,X1,nil(X0)),X2)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2135,f335])).
% 5.10/1.10 tff(f2259,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2200,f823])).
% 5.10/1.10 tff(f2261,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,X2,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2256,f328])).
% 5.10/1.10 tff(f2256,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,rev(X0,rev(X0,X2)),X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2200,f823])).
% 5.10/1.10 tff(f2200,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != append(X0,insert(X0,X1,nil(X0)),X2)) )),
% 5.10/1.10 inference(superposition,[],[f2134,f335])).
% 5.10/1.10 tff(f2255,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | append(X0,cons(X0,X1,cons(X0,X1,X2)),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2249,f328])).
% 5.10/1.10 tff(f2249,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | append(X0,cons(X0,X1,cons(X0,X1,X2)),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2172,f823])).
% 5.10/1.10 tff(f2254,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,append(X0,X3,X4)) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2246,f328])).
% 5.10/1.10 tff(f2246,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,append(X0,rev(X0,rev(X0,X3)),X4)) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2172,f823])).
% 5.10/1.10 tff(f2253,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X1,X3),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2244,f328])).
% 5.10/1.10 tff(f2244,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,append(X0,cons(X0,X1,rev(X0,rev(X0,X3))),X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2172,f823])).
% 5.10/1.10 tff(f2243,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK7(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2172,f351])).
% 5.10/1.10 tff(f2242,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK3(X0,X1),X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2172,f347])).
% 5.10/1.10 tff(f2172,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,cons(X0,X1,X2)),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2143,f430])).
% 5.10/1.10 tff(f2143,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(superposition,[],[f521,f430])).
% 5.10/1.10 tff(f2234,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (~null(X0,X2) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2179,f376])).
% 5.10/1.10 tff(f2231,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f2179,f429])).
% 5.10/1.10 tff(f2179,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2132,f347])).
% 5.10/1.10 tff(f2229,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,cons(X0,X1,cons(X0,X1,X2)),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2228,f430])).
% 5.10/1.10 tff(f2228,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,append(X0,cons(X0,X1,X2),X3)))) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2223,f2134])).
% 5.10/1.10 tff(f2223,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,append(X0,cons(X0,X1,X2),X3))) | nil(X0) = append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f1813,f2135])).
% 5.10/1.10 tff(f2227,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != hd(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2220,f326])).
% 5.10/1.10 tff(f2220,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),cons(list(X0),X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f2135,f631])).
% 5.10/1.10 tff(f2219,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(list(X0)),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X1 | hd(list(X0),append(list(X0),cons(list(X0),X1,X2),X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2135,f823])).
% 5.10/1.10 tff(f2135,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (hd(X0,append(X0,cons(X0,X1,X2),X3)) = X1) )),
% 5.10/1.10 inference(superposition,[],[f372,f430])).
% 5.10/1.10 tff(f2207,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,cons(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2134,f823])).
% 5.10/1.10 tff(f2134,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f370,f430])).
% 5.10/1.10 tff(f2199,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != append(X0,insert(X0,X1,nil(X0)),X2)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2198,f323])).
% 5.10/1.10 tff(f2198,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != append(X0,insert(X0,X1,nil(X0)),X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2195,f326])).
% 5.10/1.10 tff(f2195,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,nil(X0))) | nil(X0) != append(X0,insert(X0,X1,nil(X0)),X2)) )),
% 5.10/1.10 inference(superposition,[],[f2177,f631])).
% 5.10/1.10 tff(f2197,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,X3) | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2194,f328])).
% 5.10/1.10 tff(f2194,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,X3))) | append(X0,insert(X0,X1,nil(X0)),X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2177,f823])).
% 5.10/1.10 tff(f2177,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,append(X0,insert(X0,X1,nil(X0)),X2))) )),
% 5.10/1.10 inference(superposition,[],[f2132,f335])).
% 5.10/1.10 tff(f2190,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f2189,f323])).
% 5.10/1.10 tff(f2189,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,nil(X0)) | nil(X0) != append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2185,f326])).
% 5.10/1.10 tff(f2185,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,nil(X0))) | nil(X0) != append(X0,cons(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f2132,f631])).
% 5.10/1.10 tff(f2180,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~null(X0,append(X0,X1,X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f2132,f351])).
% 5.10/1.10 tff(f2132,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,append(X0,cons(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f367,f430])).
% 5.10/1.10 tff(f2176,plain,(
% 5.10/1.10 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X0)),X1)) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != append(arrow_411405190le_alt,X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2161,f430])).
% 5.10/1.10 tff(f2161,plain,(
% 5.10/1.10 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,append(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,X0),X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != append(arrow_411405190le_alt,X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1027,f430])).
% 5.10/1.10 tff(f2160,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK7(X0,append(X0,X1,X2)),X1),X2)) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1927,f430])).
% 5.10/1.10 tff(f2159,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,sK3(X0,append(X0,X1,X2)),X1),X2)) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1781,f430])).
% 5.10/1.10 tff(f2158,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,append(X0,cons(X0,hd(X0,append(X0,X1,X2)),X1),X2)) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1813,f430])).
% 5.10/1.10 tff(f2157,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | append(X0,X2,X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f1894,f430])).
% 5.10/1.10 tff(f2156,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | append(X0,X2,X3) != X5 | X4 != X5) )),
% 5.10/1.10 inference(superposition,[],[f1893,f430])).
% 5.10/1.10 tff(f2155,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (append(X0,cons(X0,X1,X2),X3) != insert(X0,X4,nil(X0)) | X1 = X4) )),
% 5.10/1.10 inference(superposition,[],[f1147,f430])).
% 5.10/1.10 tff(f2154,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | ~null(X0,X5) | X4 != X5) )),
% 5.10/1.10 inference(superposition,[],[f1040,f430])).
% 5.10/1.10 tff(f2175,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,cons(X0,X1,X2)),X3) != X4 | ~distinct(X0,X4)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2153,f430])).
% 5.10/1.10 tff(f2153,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,append(X0,cons(X0,X1,X2),X3)) != X4 | ~distinct(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f1012,f430])).
% 5.10/1.10 tff(f2152,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | ~distinct(X0,cons(X0,X1,X4))) )),
% 5.10/1.10 inference(superposition,[],[f1004,f430])).
% 5.10/1.10 tff(f2151,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | hd(X0,X4) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1003,f430])).
% 5.10/1.10 tff(f2150,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) != X4 | ~null(X0,X4)) )),
% 5.10/1.10 inference(superposition,[],[f1002,f430])).
% 5.10/1.10 tff(f2149,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),nil(X0),append(X0,cons(X0,X1,X2),X3),X1)) )),
% 5.10/1.10 inference(superposition,[],[f622,f430])).
% 5.10/1.10 tff(f2148,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),nil(X0),append(X0,cons(X0,X1,X2),X3),X1)) )),
% 5.10/1.10 inference(superposition,[],[f616,f430])).
% 5.10/1.10 tff(f2147,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f540,f430])).
% 5.10/1.10 tff(f2174,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,append(X0,X2,append(X0,X3,X4)),X4,append(X0,cons(X0,X1,X2),X3),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2146,f429])).
% 5.10/1.10 tff(f2146,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,append(X0,append(X0,X2,X3),X4),X4,append(X0,cons(X0,X1,X2),X3),X1)) )),
% 5.10/1.10 inference(superposition,[],[f538,f430])).
% 5.10/1.10 tff(f2145,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,append(X0,X2,X3),append(X0,cons(X0,X1,X2),X3),nil(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f536,f430])).
% 5.10/1.10 tff(f2173,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,append(X0,X2,append(X0,X3,X4)),X4,append(X0,cons(X0,X1,X2),X3),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2144,f429])).
% 5.10/1.10 tff(f2144,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,append(X0,append(X0,X2,X3),X4),X4,append(X0,cons(X0,X1,X2),X3),X1)) )),
% 5.10/1.10 inference(superposition,[],[f534,f430])).
% 5.10/1.10 tff(f2142,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != append(X0,cons(X0,X1,X2),X3) | append(X0,X2,X3) = X5) )),
% 5.10/1.10 inference(superposition,[],[f482,f430])).
% 5.10/1.10 tff(f2141,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != append(X0,cons(X0,X1,X2),X3) | append(X0,X2,X3) = X5) )),
% 5.10/1.10 inference(superposition,[],[f482,f430])).
% 5.10/1.10 tff(f2140,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != append(X0,cons(X0,X1,X2),X3) | X1 = X4) )),
% 5.10/1.10 inference(superposition,[],[f481,f430])).
% 5.10/1.10 tff(f2139,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != append(X0,cons(X0,X1,X2),X3) | X1 = X4) )),
% 5.10/1.10 inference(superposition,[],[f481,f430])).
% 5.10/1.10 tff(f2171,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (distinct(X0,append(X0,cons(X0,X1,X2),X3)) | ~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2170,f430])).
% 5.10/1.10 tff(f2170,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)) | distinct(X0,cons(X0,X1,append(X0,X2,X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2138,f430])).
% 5.10/1.10 tff(f2138,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))) | distinct(X0,cons(X0,X1,append(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f441,f430])).
% 5.10/1.10 tff(f2169,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (distinct(X0,append(X0,cons(X0,X4,X2),X3)) | ~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2168,f430])).
% 5.10/1.10 tff(f2168,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,append(X0,cons(X0,X4,cons(X0,X1,X2)),X3)) | distinct(X0,cons(X0,X4,append(X0,X2,X3)))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2137,f430])).
% 5.10/1.10 tff(f2137,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,append(X0,cons(X0,X1,X2),X3))) | distinct(X0,cons(X0,X4,append(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f440,f430])).
% 5.10/1.10 tff(f2136,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,append(X0,X2,X3)) = last(X0,append(X0,cons(X0,X1,X2),X3)) | nil(X0) = append(X0,X2,X3)) )),
% 5.10/1.10 inference(superposition,[],[f381,f430])).
% 5.10/1.10 tff(f2130,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (append(X0,cons(X0,X1,X2),X3) = rev(X0,rev(X0,X4)) | cons(X0,X1,append(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f430,f823])).
% 5.10/1.10 tff(f2167,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (insert(X0,X3,nil(X0)) = append(X0,cons(X0,X3,X1),X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2166,f335])).
% 5.10/1.10 tff(f2166,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,nil(X0)) = append(X0,cons(X0,X3,X1),X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2129,f326])).
% 5.10/1.10 tff(f2129,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,rev(X0,nil(X0))) = append(X0,cons(X0,X3,X1),X2) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f430,f631])).
% 5.10/1.10 tff(f2165,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,X3) = append(X0,cons(X0,X4,X1),X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2128,f328])).
% 5.10/1.10 tff(f2128,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,rev(X0,rev(X0,X3))) = append(X0,cons(X0,X4,X1),X2) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f430,f823])).
% 5.10/1.10 tff(f2127,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (cons(X0,X3,X2) = append(X0,cons(X0,X3,takeWhile(X0,X1,X2)),dropWhile(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f430,f376])).
% 5.10/1.10 tff(f2126,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,cons(X0,X3,rev(X0,X1)),rev(X0,X2)) = cons(X0,X3,rev(X0,append(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f430,f378])).
% 5.10/1.10 tff(f430,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,cons(X0,X3,X2),X1) = cons(X0,X3,append(X0,X2,X1))) )),
% 5.10/1.10 inference(cnf_transformation,[],[f182])).
% 5.10/1.10 tff(f182,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : X0] : append(X0,cons(X0,X3,X2),X1) = cons(X0,X3,append(X0,X2,X1))),
% 5.10/1.10 inference(rectify,[],[f43])).
% 5.10/1.10 tff(f43,axiom,(
% 5.10/1.10 ! [X0 : $tType,X22 : list(X0),X19 : list(X0),X6 : X0] : append(X0,cons(X0,X6,X19),X22) = cons(X0,X6,append(X0,X19,X22))),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_append__Cons)).
% 5.10/1.10 tff(f2122,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (nil(X0) = X3 | nil(X0) != last(list(X0),append(list(X0),X1,append(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2116,f326])).
% 5.10/1.10 tff(f2116,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,nil(X0)) = X3 | nil(X0) != last(list(X0),append(list(X0),X1,append(list(X0),X2,insert(list(X0),X3,nil(list(X0))))))) )),
% 5.10/1.10 inference(superposition,[],[f2081,f631])).
% 5.10/1.10 tff(f2115,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0)),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X3 | last(list(X0),append(list(X0),X1,append(list(X0),X2,insert(list(X0),X3,nil(list(X0)))))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2081,f823])).
% 5.10/1.10 tff(f2121,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,X4) = X3 | append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2113,f328])).
% 5.10/1.10 tff(f2113,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,rev(X0,rev(X0,X4))) = X3 | append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2081,f823])).
% 5.10/1.10 tff(f2111,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (last(X0,append(X0,X1,append(X0,X2,append(X0,X3,insert(X0,X4,nil(X0)))))) = X4) )),
% 5.10/1.10 inference(superposition,[],[f2081,f429])).
% 5.10/1.10 tff(f2120,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (last(X0,append(X0,X4,X3)) = X2 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2109,f328])).
% 5.10/1.10 tff(f2109,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (last(X0,append(X0,X4,rev(X0,rev(X0,X3)))) = X2 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2081,f823])).
% 5.10/1.10 tff(f2107,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (last(X0,append(X0,X4,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))))) = X3) )),
% 5.10/1.10 inference(superposition,[],[f2081,f429])).
% 5.10/1.10 tff(f2119,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X3,append(X0,X4,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2105,f328])).
% 5.10/1.10 tff(f2105,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (last(X0,append(X0,X3,append(X0,X4,rev(X0,rev(X0,X2))))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2081,f823])).
% 5.10/1.10 tff(f2081,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (last(X0,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))) = X3) )),
% 5.10/1.10 inference(superposition,[],[f584,f429])).
% 5.10/1.10 tff(f2101,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))) != X4) )),
% 5.10/1.10 inference(superposition,[],[f2080,f823])).
% 5.10/1.10 tff(f2099,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (nil(X0) != append(X0,X1,append(X0,X2,append(X0,X3,insert(X0,X4,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f2080,f429])).
% 5.10/1.10 tff(f2104,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,X3) | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2097,f328])).
% 5.10/1.10 tff(f2097,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,rev(X0,rev(X0,X3))) | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.10 inference(superposition,[],[f2080,f823])).
% 5.10/1.10 tff(f2095,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0),X4 : list(X0)] : (nil(X0) != append(X0,X4,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f2080,f429])).
% 5.10/1.10 tff(f2103,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X3,append(X0,X4,X2)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2093,f328])).
% 5.10/1.10 tff(f2093,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (nil(X0) != append(X0,X3,append(X0,X4,rev(X0,rev(X0,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f2080,f823])).
% 5.10/1.10 tff(f2080,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))) )),
% 5.10/1.10 inference(superposition,[],[f595,f429])).
% 5.10/1.10 tff(f2085,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,dropWhile(X0,X3,X4),append(X0,X1,append(X0,X2,takeWhile(X0,X3,X4))),append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f1093,f429])).
% 5.10/1.10 tff(f2084,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : fun(X0,bool),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X3,X4),X4,append(X0,X1,X2),append(X0,X1,append(X0,X2,takeWhile(X0,X3,X4))))) )),
% 5.10/1.10 inference(superposition,[],[f1095,f429])).
% 5.10/1.10 tff(f2079,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (append(X0,X1,X2) = butlast(X0,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0)))))) )),
% 5.10/1.10 inference(superposition,[],[f1049,f429])).
% 5.10/1.10 tff(f2078,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (~distinct(X0,append(X0,X1,append(X0,X2,insert(X0,X3,nil(X0))))) | distinct(X0,append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f1167,f429])).
% 5.10/1.10 tff(f2077,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X1,append(X0,X2,X3)),nil(X0),append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f607,f429])).
% 5.10/1.10 tff(f2076,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X3,append(X0,X1,X2),append(X0,X1,append(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f604,f429])).
% 5.10/1.10 tff(f2075,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X1,append(X0,X2,X3)),X3,append(X0,X1,X2),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f599,f429])).
% 5.10/1.10 tff(f2074,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,nil(X0),append(X0,X1,append(X0,X2,X3)),append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f596,f429])).
% 5.10/1.10 tff(f2073,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,append(X0,X1,append(X0,X2,X3)),X3,cons(X0,X4,append(X0,X1,X2)),X4)) )),
% 5.10/1.10 inference(superposition,[],[f538,f429])).
% 5.10/1.10 tff(f2072,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,append(X0,X1,append(X0,X2,X3)),X3,cons(X0,X4,append(X0,X1,X2)),X4)) )),
% 5.10/1.10 inference(superposition,[],[f534,f429])).
% 5.10/1.10 tff(f2071,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X3,X4),append(X0,X1,X2),append(X0,X1,append(X0,X2,X3)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f429])).
% 5.10/1.10 tff(f2070,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,append(X0,X1,append(X0,X2,X3)),X4,append(X0,X4,append(X0,X1,X2)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f429])).
% 5.10/1.10 tff(f2069,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X3,X4),X4,append(X0,X1,append(X0,X2,X3)),append(X0,X1,X2))) )),
% 5.10/1.10 inference(superposition,[],[f530,f429])).
% 5.10/1.10 tff(f2068,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X1,append(X0,X2,X3)),X3,append(X0,X4,append(X0,X1,X2)),X4)) )),
% 5.10/1.10 inference(superposition,[],[f530,f429])).
% 5.10/1.10 tff(f2067,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) != append(X0,append(X0,X1,X2),X4) | X3 = X4) )),
% 5.10/1.10 inference(superposition,[],[f445,f429])).
% 5.10/1.10 tff(f2066,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) != append(X0,append(X0,X1,X2),X4) | X3 = X4) )),
% 5.10/1.10 inference(superposition,[],[f445,f429])).
% 5.10/1.10 tff(f2065,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X3) != append(X0,X1,append(X0,X2,X3)) | append(X0,X1,X2) = X4) )),
% 5.10/1.10 inference(superposition,[],[f443,f429])).
% 5.10/1.10 tff(f2064,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X4,X3) != append(X0,X1,append(X0,X2,X3)) | append(X0,X1,X2) = X4) )),
% 5.10/1.10 inference(superposition,[],[f443,f429])).
% 5.10/1.10 tff(f2063,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | nil(X0) = X3) )),
% 5.10/1.10 inference(superposition,[],[f416,f429])).
% 5.10/1.10 tff(f2062,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,append(X0,X2,X3)) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f415,f429])).
% 5.10/1.10 tff(f2061,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) != X3 | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f409,f429])).
% 5.10/1.10 tff(f2060,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != append(X0,X1,append(X0,X2,X3)) | nil(X0) = X3) )),
% 5.10/1.10 inference(superposition,[],[f407,f429])).
% 5.10/1.10 tff(f2059,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (hd(X0,append(X0,X1,X2)) = hd(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f387,f429])).
% 5.10/1.10 tff(f2058,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (last(X0,X3) = last(X0,append(X0,X1,append(X0,X2,X3))) | nil(X0) = X3) )),
% 5.10/1.10 inference(superposition,[],[f385,f429])).
% 5.10/1.10 tff(f2091,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2057,f326])).
% 5.10/1.10 tff(f2057,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = append(X0,X1,append(X0,X2,X3)) | nil(X0) != append(X0,append(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f429,f631])).
% 5.10/1.10 tff(f2056,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = rev(X0,rev(X0,X4)) | append(X0,append(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f429,f823])).
% 5.10/1.10 tff(f2090,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2089,f332])).
% 5.10/1.10 tff(f2089,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = append(X0,nil(X0),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2054,f326])).
% 5.10/1.10 tff(f2054,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,append(X0,X2,X3)) = append(X0,rev(X0,nil(X0)),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f429,f631])).
% 5.10/1.10 tff(f2088,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,X3,X4) = append(X0,X1,append(X0,X2,X4)) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2053,f328])).
% 5.10/1.10 tff(f2053,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (append(X0,rev(X0,rev(X0,X3)),X4) = append(X0,X1,append(X0,X2,X4)) | append(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f429,f823])).
% 5.10/1.10 tff(f2052,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X2,X3) = append(X0,takeWhile(X0,X1,X2),append(X0,dropWhile(X0,X1,X2),X3))) )),
% 5.10/1.10 inference(superposition,[],[f429,f376])).
% 5.10/1.10 tff(f2051,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),append(X0,rev(X0,X2),X3)) = append(X0,rev(X0,append(X0,X2,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f429,f378])).
% 5.10/1.10 tff(f429,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,append(X0,X3,X2),X1) = append(X0,X3,append(X0,X2,X1))) )),
% 5.10/1.10 inference(cnf_transformation,[],[f181])).
% 5.10/1.10 tff(f181,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : append(X0,append(X0,X3,X2),X1) = append(X0,X3,append(X0,X2,X1))),
% 5.10/1.10 inference(rectify,[],[f42])).
% 5.10/1.10 tff(f42,axiom,(
% 5.10/1.10 ! [X0 : $tType,X33 : list(X0),X22 : list(X0),X19 : list(X0)] : append(X0,append(X0,X19,X22),X33) = append(X0,X19,append(X0,X22,X33))),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_append__assoc)).
% 5.10/1.10 tff(f2046,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | X1 != X2 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1940,f631])).
% 5.10/1.10 tff(f2045,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | X1 != X3 | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1940,f823])).
% 5.10/1.10 tff(f1940,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK8(X0,X1) != X2 | X1 != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1894,f351])).
% 5.10/1.10 tff(f2043,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | X1 != X2 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1906,f631])).
% 5.10/1.10 tff(f2042,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | X1 != X3 | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1906,f823])).
% 5.10/1.10 tff(f1906,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sK4(X0,X1) != X2 | X1 != X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1894,f347])).
% 5.10/1.10 tff(f2028,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),rev(X0,append(X0,X2,X1)),nil(X0),rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f607,f378])).
% 5.10/1.10 tff(f2027,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),rev(X0,X2),rev(X0,X1),rev(X0,append(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f604,f378])).
% 5.10/1.10 tff(f2026,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,append(X0,X2,X1)),rev(X0,X2),rev(X0,X1),nil(X0))) )),
% 5.10/1.10 inference(superposition,[],[f599,f378])).
% 5.10/1.10 tff(f2025,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),nil(X0),rev(X0,append(X0,X2,X1)),rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f596,f378])).
% 5.10/1.10 tff(f2024,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,rev(X0,append(X0,X2,X1)),rev(X0,X2),cons(X0,X3,rev(X0,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f538,f378])).
% 5.10/1.10 tff(f2023,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,rev(X0,append(X0,X2,X1)),rev(X0,X2),cons(X0,X3,rev(X0,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f534,f378])).
% 5.10/1.10 tff(f2022,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,rev(X0,X2),X3),rev(X0,X1),rev(X0,append(X0,X2,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f378])).
% 5.10/1.10 tff(f2021,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,X2),rev(X0,append(X0,X2,X1)),X3,append(X0,X3,rev(X0,X1)))) )),
% 5.10/1.10 inference(superposition,[],[f532,f378])).
% 5.10/1.10 tff(f2020,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,rev(X0,X2),X3),X3,rev(X0,append(X0,X2,X1)),rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f530,f378])).
% 5.10/1.10 tff(f2019,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,append(X0,X2,X1)),rev(X0,X2),append(X0,X3,rev(X0,X1)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f530,f378])).
% 5.10/1.10 tff(f2018,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != append(X0,rev(X0,X1),X3) | rev(X0,X2) = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f378])).
% 5.10/1.10 tff(f2017,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != append(X0,rev(X0,X1),X3) | rev(X0,X2) = X3) )),
% 5.10/1.10 inference(superposition,[],[f445,f378])).
% 5.10/1.10 tff(f2016,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != append(X0,X3,rev(X0,X2)) | rev(X0,X1) = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f378])).
% 5.10/1.10 tff(f2015,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != append(X0,X3,rev(X0,X2)) | rev(X0,X1) = X3) )),
% 5.10/1.10 inference(superposition,[],[f443,f378])).
% 5.10/1.10 tff(f2014,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f416,f378])).
% 5.10/1.10 tff(f2013,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,append(X0,X2,X1)) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f415,f378])).
% 5.10/1.10 tff(f2012,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) != rev(X0,X2) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f409,f378])).
% 5.10/1.10 tff(f2011,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,append(X0,X2,X1)) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f407,f378])).
% 5.10/1.10 tff(f2010,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,rev(X0,X1)) = hd(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f387,f378])).
% 5.10/1.10 tff(f2009,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,X2)) = last(X0,rev(X0,append(X0,X2,X1))) | nil(X0) = rev(X0,X2)) )),
% 5.10/1.10 inference(superposition,[],[f385,f378])).
% 5.10/1.10 tff(f2041,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,append(X0,X2,X1)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2008,f326])).
% 5.10/1.10 tff(f2008,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = rev(X0,append(X0,X2,X1)) | nil(X0) != append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.10 inference(superposition,[],[f378,f631])).
% 5.10/1.10 tff(f2007,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,rev(X0,X3)) | append(X0,rev(X0,X1),rev(X0,X2)) != X3) )),
% 5.10/1.10 inference(superposition,[],[f378,f823])).
% 5.10/1.10 tff(f2040,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,append(X0,X1,X2)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2039,f331])).
% 5.10/1.10 tff(f2039,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X2)) = append(X0,rev(X0,X2),nil(X0)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2006,f326])).
% 5.10/1.10 tff(f2006,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X2)) = append(X0,rev(X0,X2),rev(X0,nil(X0))) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f378,f631])).
% 5.10/1.10 tff(f2038,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),X2) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2005,f328])).
% 5.10/1.10 tff(f2005,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),rev(X0,rev(X0,X2))) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f823])).
% 5.10/1.10 tff(f2003,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,rev(X0,X1),X3)) = append(X0,rev(X0,X3),X2) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f823])).
% 5.10/1.10 tff(f2036,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = append(X0,rev(X0,X2),X1) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2001,f332])).
% 5.10/1.10 tff(f2001,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,nil(X0),X2)) = append(X0,rev(X0,X2),X1) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f378,f631])).
% 5.10/1.10 tff(f2000,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,append(X0,insert(X0,X1,nil(X0)),X2)) = append(X0,rev(X0,X2),insert(X0,X1,nil(X0)))) )),
% 5.10/1.10 inference(superposition,[],[f378,f1383])).
% 5.10/1.10 tff(f2035,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,append(X0,X1,X2)) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1999,f331])).
% 5.10/1.10 tff(f1999,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X2)) = append(X0,rev(X0,X2),nil(X0)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f378,f583])).
% 5.10/1.10 tff(f1998,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),rev(X0,X2)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f641])).
% 5.10/1.10 tff(f1997,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X1,X3)) = append(X0,rev(X0,X3),rev(X0,X2)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f641])).
% 5.10/1.10 tff(f2034,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f2033,f332])).
% 5.10/1.10 tff(f2033,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = append(X0,nil(X0),rev(X0,X2)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1996,f326])).
% 5.10/1.10 tff(f1996,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = append(X0,rev(X0,nil(X0)),rev(X0,X2)) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f378,f631])).
% 5.10/1.10 tff(f2032,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,X2,rev(X0,X3)) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1995,f328])).
% 5.10/1.10 tff(f1995,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,rev(X0,rev(X0,X2)),rev(X0,X3)) | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f823])).
% 5.10/1.10 tff(f1993,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,rev(X0,X1))) = append(X0,X2,rev(X0,X3)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f823])).
% 5.10/1.10 tff(f2030,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = append(X0,X1,rev(X0,X2)) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1991,f331])).
% 5.10/1.10 tff(f1991,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,nil(X0))) = append(X0,X1,rev(X0,X2)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f378,f631])).
% 5.10/1.10 tff(f1990,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,append(X0,X2,insert(X0,X1,nil(X0)))) = append(X0,insert(X0,X1,nil(X0)),rev(X0,X2))) )),
% 5.10/1.10 inference(superposition,[],[f378,f1383])).
% 5.10/1.10 tff(f2029,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = rev(X0,X2) | nil(X0) != X1) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1989,f332])).
% 5.10/1.10 tff(f1989,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = append(X0,nil(X0),rev(X0,X2)) | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f378,f583])).
% 5.10/1.10 tff(f1988,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,rev(X0,X2),rev(X0,X3)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f641])).
% 5.10/1.10 tff(f1987,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X3,X1)) = append(X0,rev(X0,X2),rev(X0,X3)) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f378,f641])).
% 5.10/1.10 tff(f378,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,append(X0,X2,X1)) = append(X0,rev(X0,X1),rev(X0,X2))) )),
% 5.10/1.10 inference(cnf_transformation,[],[f151])).
% 5.10/1.10 tff(f151,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : rev(X0,append(X0,X2,X1)) = append(X0,rev(X0,X1),rev(X0,X2))),
% 5.10/1.10 inference(rectify,[],[f86])).
% 5.10/1.10 tff(f86,axiom,(
% 5.10/1.10 ! [X0 : $tType,X22 : list(X0),X19 : list(X0)] : rev(X0,append(X0,X19,X22)) = append(X0,rev(X0,X22),rev(X0,X19))),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_rev__append)).
% 5.10/1.10 tff(f1984,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | X2 != X5 | X4 != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1893,f823])).
% 5.10/1.10 tff(f1983,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK8(X0,X1) != X3 | X2 != X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1893,f351])).
% 5.10/1.10 tff(f1982,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | sK4(X0,X1) != X3 | X2 != X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1893,f347])).
% 5.10/1.10 tff(f1981,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) != X3 | X2 != X3) )),
% 5.10/1.10 inference(superposition,[],[f1893,f335])).
% 5.10/1.10 tff(f1893,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X4,X3) != X1 | X2 != X3 | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f823])).
% 5.10/1.10 tff(f1980,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X2 != X3 | ~null(X0,X4) | X3 != X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1977,f328])).
% 5.10/1.10 tff(f1977,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | ~null(X0,X4) | X3 != X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1048,f823])).
% 5.10/1.10 tff(f1048,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,X3) | X2 != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1045,f328])).
% 5.10/1.10 tff(f1045,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | ~null(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f990,f823])).
% 5.10/1.10 tff(f1976,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X2 != X3 | distinct(X0,X4) | X3 != X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1973,f328])).
% 5.10/1.10 tff(f1973,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | distinct(X0,X4) | X3 != X4 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1044,f823])).
% 5.10/1.10 tff(f1044,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | distinct(X0,X3) | X2 != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1041,f328])).
% 5.10/1.10 tff(f1041,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | distinct(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f989,f823])).
% 5.10/1.10 tff(f1970,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) = butlast(X0,X3) | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1013,f823])).
% 5.10/1.10 tff(f1013,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) != X2 | nil(X0) = butlast(X0,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f931,f328])).
% 5.10/1.10 tff(f931,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,rev(X0,rev(X0,X2))) | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f499,f823])).
% 5.10/1.10 tff(f1966,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) = butlast(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f987,f823])).
% 5.10/1.10 tff(f987,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) = butlast(X0,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f900,f328])).
% 5.10/1.10 tff(f900,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f565,f823])).
% 5.10/1.10 tff(f1963,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) != X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1905,f823])).
% 5.10/1.10 tff(f1905,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1894,f335])).
% 5.10/1.10 tff(f1962,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X2) | nil(X0) = X1 | cons(X0,sK7(X0,X1),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1957,f328])).
% 5.10/1.10 tff(f1957,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | cons(X0,sK7(X0,X1),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1927,f823])).
% 5.10/1.10 tff(f1961,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1954,f326])).
% 5.10/1.10 tff(f1954,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),rev(X0,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1927,f631])).
% 5.10/1.10 tff(f1960,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),X2,X1)) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1953,f328])).
% 5.10/1.10 tff(f1953,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),rev(X0,rev(X0,X2)),X1)) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1927,f823])).
% 5.10/1.10 tff(f1927,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,sK7(X0,X1),X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f521,f351])).
% 5.10/1.10 tff(f1950,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,hd(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f1949])).
% 5.10/1.10 tff(f1949,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,hd(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f351,f1919])).
% 5.10/1.10 tff(f1951,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1948,f326])).
% 5.10/1.10 tff(f1948,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1919,f631])).
% 5.10/1.10 tff(f1947,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = hd(list(X0),X1) | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1919,f823])).
% 5.10/1.10 tff(f1919,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = sK7(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f372,f351])).
% 5.10/1.10 tff(f1946,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1917,f631])).
% 5.10/1.10 tff(f1945,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X1 | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1917,f823])).
% 5.10/1.10 tff(f1917,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sK8(X0,X1) != X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f368,f351])).
% 5.10/1.10 tff(f1939,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (insert(X0,X2,nil(X0)) != X1 | sK7(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1147,f351])).
% 5.10/1.10 tff(f1938,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | ~null(X0,X3) | X2 != X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1040,f351])).
% 5.10/1.10 tff(f1937,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (cons(X0,sK7(X0,X1),X1) != X2 | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1012,f351])).
% 5.10/1.10 tff(f1936,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | ~distinct(X0,cons(X0,sK7(X0,X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1004,f351])).
% 5.10/1.10 tff(f1935,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | hd(X0,X2) = sK7(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1003,f351])).
% 5.10/1.10 tff(f1933,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK8(X0,X1),nil(X0),X1,sK7(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f622,f351])).
% 5.10/1.10 tff(f1932,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK8(X0,X1),nil(X0),X1,sK7(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f616,f351])).
% 5.10/1.10 tff(f1930,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,append(X0,sK8(X0,X1),X2),X2,X1,sK7(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f538,f351])).
% 5.10/1.10 tff(f1928,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,append(X0,sK8(X0,X1),X2),X2,X1,sK7(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f534,f351])).
% 5.10/1.10 tff(f1926,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK8(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f482,f351])).
% 5.10/1.10 tff(f1925,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK8(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f482,f351])).
% 5.10/1.10 tff(f1924,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK7(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f481,f351])).
% 5.10/1.10 tff(f1923,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK7(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f481,f351])).
% 5.10/1.10 tff(f1922,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,X1)) | distinct(X0,cons(X0,sK7(X0,X1),sK8(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f441,f351])).
% 5.10/1.10 tff(f1921,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,X1)) | distinct(X0,cons(X0,X2,sK8(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f440,f351])).
% 5.10/1.10 tff(f1920,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = last(X0,sK8(X0,X1)) | nil(X0) = sK8(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f381,f351])).
% 5.10/1.10 tff(f1914,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | nil(X0) = X1 | cons(X0,sK7(X0,X1),sK8(X0,X1)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f351,f823])).
% 5.10/1.10 tff(f1944,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1913,f326])).
% 5.10/1.10 tff(f1913,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),rev(X0,nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK8(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f351,f631])).
% 5.10/1.10 tff(f1943,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (cons(X0,sK7(X0,X1),X2) = X1 | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1912,f328])).
% 5.10/1.10 tff(f1912,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (cons(X0,sK7(X0,X1),rev(X0,rev(X0,X2))) = X1 | nil(X0) = X1 | sK8(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f351,f823])).
% 5.10/1.10 tff(f1942,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),nil(X0),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1911,f326])).
% 5.10/1.10 tff(f1911,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),rev(X0,nil(X0)),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK7(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f351,f631])).
% 5.10/1.10 tff(f1941,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (cons(list(X0),X2,sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1910,f328])).
% 5.10/1.10 tff(f1910,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (cons(list(X0),rev(X0,rev(X0,X2)),sK8(list(X0),X1)) = X1 | nil(list(X0)) = X1 | sK7(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f351,f823])).
% 5.10/1.10 tff(f351,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK7(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(cnf_transformation,[],[f259])).
% 5.10/1.10 tff(f259,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) != X1 | ! [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) != X1) & (cons(X0,sK7(X0,X1),sK8(X0,X1)) = X1 | nil(X0) = X1))),
% 5.10/1.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f257,f258])).
% 5.10/1.10 tff(f258,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : (? [X4 : X0,X5 : list(X0)] : cons(X0,X4,X5) = X1 => cons(X0,sK7(X0,X1),sK8(X0,X1)) = X1)),
% 5.10/1.10 introduced(choice_axiom,[])).
% 5.10/1.10 tff(f257,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) != X1 | ! [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) != X1) & (? [X4 : X0,X5 : list(X0)] : cons(X0,X4,X5) = X1 | nil(X0) = X1))),
% 5.10/1.10 inference(rectify,[],[f256])).
% 5.10/1.10 tff(f256,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) != X1 | ! [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) != X1) & (? [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) = X1 | nil(X0) = X1))),
% 5.10/1.10 inference(nnf_transformation,[],[f132])).
% 5.10/1.10 tff(f132,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 <=> ? [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) = X1)),
% 5.10/1.10 inference(rectify,[],[f8])).
% 5.10/1.10 tff(f8,axiom,(
% 5.10/1.10 ! [X0 : $tType,X11 : list(X0)] : (nil(X0) != X11 <=> ? [X15 : X0,X16 : list(X0)] : cons(X0,X15,X16) = X11)),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_neq__Nil__conv)).
% 5.10/1.10 tff(f1907,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | X2 != X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1894,f823])).
% 5.10/1.10 tff(f1894,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (cons(X0,X3,X2) != X1 | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f328])).
% 5.10/1.10 tff(f1903,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (nil(X0) != X2 | cons(X0,X3,X2) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1899,f326])).
% 5.10/1.10 tff(f1899,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | cons(X0,X3,X2) != X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.10 inference(superposition,[],[f918,f631])).
% 5.10/1.10 tff(f1898,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,rev(X0,X2)) != X3 | cons(X0,X4,X3) != X1 | rev(X0,rev(X0,X1)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f823])).
% 5.10/1.10 tff(f1897,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (nil(X0) != X2 | cons(X0,X3,X2) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f918,f583])).
% 5.10/1.10 tff(f1896,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != X3 | cons(X0,X4,X3) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f641])).
% 5.10/1.10 tff(f1895,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != X3 | cons(X0,X4,X3) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f641])).
% 5.10/1.10 tff(f1902,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | cons(X0,X3,X2) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1892,f326])).
% 5.10/1.10 tff(f1892,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,rev(X0,nil(X0))) != X2 | cons(X0,X3,X2) != X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f918,f631])).
% 5.10/1.10 tff(f1901,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != X3 | cons(X0,X4,X3) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1891,f328])).
% 5.10/1.10 tff(f1891,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,rev(X0,rev(X0,X2))) != X3 | cons(X0,X4,X3) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f823])).
% 5.10/1.10 tff(f1890,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,X1) != X2 | rev(X0,X1) != cons(X0,X3,X2)) )),
% 5.10/1.10 inference(superposition,[],[f918,f328])).
% 5.10/1.10 tff(f1889,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,X2) != X3 | rev(X0,X1) != cons(X0,X4,X3) | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f823])).
% 5.10/1.10 tff(f1886,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rev(X0,insert(X0,X1,nil(X0))) != X2 | insert(X0,X1,nil(X0)) != cons(X0,X3,X2)) )),
% 5.10/1.10 inference(superposition,[],[f918,f1383])).
% 5.10/1.10 tff(f1885,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | cons(X0,X3,X2) != X1 | nil(X0) != X1) )),
% 5.10/1.10 inference(superposition,[],[f918,f583])).
% 5.10/1.10 tff(f1884,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,rev(X0,X2)) != X3 | cons(X0,X4,X3) != X1 | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f641])).
% 5.10/1.10 tff(f1883,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (rev(X0,rev(X0,X2)) != X3 | cons(X0,X4,X3) != X1 | X1 != X2) )),
% 5.10/1.10 inference(superposition,[],[f918,f641])).
% 5.10/1.10 tff(f918,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X3)) != X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f368,f823])).
% 5.10/1.10 tff(f1880,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rev(X0,rev(X0,X2)) != insert(X0,X3,nil(X0)) | X1 = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1418,f823])).
% 5.10/1.10 tff(f1878,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0] : (rev(X0,rev(X0,X2)) != insert(X0,X3,nil(X0)) | X1 = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1418,f823])).
% 5.10/1.10 tff(f1418,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (insert(X0,X1,nil(X0)) != insert(X0,X2,nil(X0)) | X1 = X2) )),
% 5.10/1.10 inference(superposition,[],[f1147,f335])).
% 5.10/1.10 tff(f1877,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X3,dropWhile(X0,X2,X3),X4,X1) | cons(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1864,f328])).
% 5.10/1.10 tff(f1864,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,X3,dropWhile(X0,X2,X3),rev(X0,rev(X0,X4)),X1) | cons(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f1098,f823])).
% 5.10/1.10 tff(f1876,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1875,f335])).
% 5.10/1.10 tff(f1875,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1863,f326])).
% 5.10/1.10 tff(f1863,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,rev(X0,nil(X0))),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1098,f631])).
% 5.10/1.10 tff(f1874,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,X3),X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1862,f328])).
% 5.10/1.10 tff(f1862,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,rev(X0,rev(X0,X3))),X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1098,f823])).
% 5.10/1.10 tff(f1873,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1861,f335])).
% 5.10/1.10 tff(f1861,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1098,f1139])).
% 5.10/1.10 tff(f1871,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1860,f335])).
% 5.10/1.10 tff(f1860,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1098,f1092])).
% 5.10/1.10 tff(f1868,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,nil(X0),cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1858,f326])).
% 5.10/1.10 tff(f1858,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,rev(X0,nil(X0)),cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1098,f631])).
% 5.10/1.10 tff(f1867,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,X3,cons(X0,X4,takeWhile(X0,X1,X2)),X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1857,f328])).
% 5.10/1.10 tff(f1857,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP2(X0,X2,rev(X0,rev(X0,X3)),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1098,f823])).
% 5.10/1.10 tff(f1856,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,nil(X0),cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1098,f1144])).
% 5.10/1.10 tff(f1098,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP2(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,takeWhile(X0,X1,X2)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f538,f376])).
% 5.10/1.10 tff(f1854,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X3,dropWhile(X0,X2,X3),X4,X1) | cons(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1841,f328])).
% 5.10/1.10 tff(f1841,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,X3,dropWhile(X0,X2,X3),rev(X0,rev(X0,X4)),X1) | cons(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.10 inference(superposition,[],[f1097,f823])).
% 5.10/1.10 tff(f1853,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1852,f335])).
% 5.10/1.10 tff(f1852,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1840,f326])).
% 5.10/1.10 tff(f1840,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,rev(X0,nil(X0))),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1097,f631])).
% 5.10/1.10 tff(f1851,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,X3),X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1839,f328])).
% 5.10/1.10 tff(f1839,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X4,rev(X0,rev(X0,X3))),X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1097,f823])).
% 5.10/1.10 tff(f1850,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1838,f335])).
% 5.10/1.10 tff(f1838,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1097,f1139])).
% 5.10/1.10 tff(f1848,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),insert(X0,X3,nil(X0)),X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1837,f335])).
% 5.10/1.10 tff(f1837,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,nil(X0)),X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1097,f1092])).
% 5.10/1.10 tff(f1845,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,nil(X0),cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1835,f326])).
% 5.10/1.10 tff(f1835,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,rev(X0,nil(X0)),cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1097,f631])).
% 5.10/1.10 tff(f1844,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,X3,cons(X0,X4,takeWhile(X0,X1,X2)),X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1834,f328])).
% 5.10/1.10 tff(f1834,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : X0] : (sP1(X0,X2,rev(X0,rev(X0,X3)),cons(X0,X4,takeWhile(X0,X1,X2)),X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1097,f823])).
% 5.10/1.10 tff(f1833,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,nil(X0),cons(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1097,f1144])).
% 5.10/1.10 tff(f1097,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : fun(X0,bool)] : (sP1(X0,X2,dropWhile(X0,X1,X2),cons(X0,X3,takeWhile(X0,X1,X2)),X3)) )),
% 5.10/1.10 inference(superposition,[],[f534,f376])).
% 5.10/1.10 tff(f1831,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X2) | nil(X0) = X1 | cons(X0,hd(X0,X1),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1825,f328])).
% 5.10/1.10 tff(f1825,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | cons(X0,hd(X0,X1),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1813,f823])).
% 5.10/1.10 tff(f1830,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,last(X0,X1),rev(X0,X1))) | nil(X0) = rev(X0,X1)) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f1823,f583])).
% 5.10/1.10 tff(f1823,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,last(X0,X1),rev(X0,X1))) | nil(X0) = rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1813,f343])).
% 5.10/1.10 tff(f1829,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,hd(X0,X1),append(X0,X1,X2))) | nil(X0) = X1) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f1820,f415])).
% 5.10/1.10 tff(f1820,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,cons(X0,hd(X0,X1),append(X0,X1,X2))) | nil(X0) = append(X0,X1,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1813,f387])).
% 5.10/1.10 tff(f1828,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1819,f326])).
% 5.10/1.10 tff(f1819,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),rev(X0,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1813,f631])).
% 5.10/1.10 tff(f1827,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),X2,X1)) | nil(list(X0)) = X1 | hd(list(X0),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1818,f328])).
% 5.10/1.10 tff(f1818,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),rev(X0,rev(X0,X2)),X1)) | nil(list(X0)) = X1 | hd(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1813,f823])).
% 5.10/1.10 tff(f1813,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,hd(X0,X1),X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f1809])).
% 5.10/1.10 tff(f1809,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,hd(X0,X1),X1)) | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1781,f1773])).
% 5.10/1.10 tff(f1816,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X2) | nil(X0) = X1 | cons(X0,sK3(X0,X1),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1811,f328])).
% 5.10/1.10 tff(f1811,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | cons(X0,sK3(X0,X1),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1781,f823])).
% 5.10/1.10 tff(f1815,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),nil(X0),X1)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1808,f326])).
% 5.10/1.10 tff(f1808,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),rev(X0,nil(X0)),X1)) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1781,f631])).
% 5.10/1.10 tff(f1814,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),X2,X1)) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1807,f328])).
% 5.10/1.10 tff(f1807,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (~distinct(list(X0),cons(list(X0),rev(X0,rev(X0,X2)),X1)) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1781,f823])).
% 5.10/1.10 tff(f1781,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,cons(X0,sK3(X0,X1),X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f521,f347])).
% 5.10/1.10 tff(f1788,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | ~null(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1002,f347])).
% 5.10/1.10 tff(f1803,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,hd(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f1802])).
% 5.10/1.10 tff(f1802,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,hd(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f347,f1773])).
% 5.10/1.10 tff(f1804,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1801,f326])).
% 5.10/1.10 tff(f1801,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f1773,f631])).
% 5.10/1.10 tff(f1800,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = hd(list(X0),X1) | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1773,f823])).
% 5.10/1.10 tff(f1773,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = sK3(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f372,f347])).
% 5.10/1.10 tff(f1799,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f1771,f631])).
% 5.10/1.10 tff(f1798,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X1 | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1771,f823])).
% 5.10/1.10 tff(f1771,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sK4(X0,X1) != X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f368,f347])).
% 5.10/1.10 tff(f1793,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (insert(X0,X2,nil(X0)) != X1 | sK3(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1147,f347])).
% 5.10/1.10 tff(f1792,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X2 | ~null(X0,X3) | X2 != X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1040,f347])).
% 5.10/1.10 tff(f1791,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (cons(X0,sK3(X0,X1),X1) != X2 | ~distinct(X0,X2) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1012,f347])).
% 5.10/1.10 tff(f1790,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | ~distinct(X0,cons(X0,sK3(X0,X1),X2)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1004,f347])).
% 5.10/1.10 tff(f1789,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | hd(X0,X2) = sK3(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f1003,f347])).
% 5.10/1.10 tff(f1787,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP2(X0,sK4(X0,X1),nil(X0),X1,sK3(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f622,f347])).
% 5.10/1.10 tff(f1786,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (sP1(X0,sK4(X0,X1),nil(X0),X1,sK3(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f616,f347])).
% 5.10/1.10 tff(f1784,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP2(X0,append(X0,sK4(X0,X1),X2),X2,X1,sK3(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f538,f347])).
% 5.10/1.10 tff(f1782,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP1(X0,append(X0,sK4(X0,X1),X2),X2,X1,sK3(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f534,f347])).
% 5.10/1.10 tff(f1780,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK4(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f482,f347])).
% 5.10/1.10 tff(f1779,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK4(X0,X1) = X3 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f482,f347])).
% 5.10/1.10 tff(f1778,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK3(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f481,f347])).
% 5.10/1.10 tff(f1777,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X3) != X1 | sK3(X0,X1) = X2 | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f481,f347])).
% 5.10/1.10 tff(f1776,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,X1)) | distinct(X0,cons(X0,sK3(X0,X1),sK4(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f441,f347])).
% 5.10/1.10 tff(f1775,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X2,X1)) | distinct(X0,cons(X0,X2,sK4(X0,X1))) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f440,f347])).
% 5.10/1.10 tff(f1774,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = last(X0,sK4(X0,X1)) | nil(X0) = sK4(X0,X1) | nil(X0) = X1) )),
% 5.10/1.10 inference(superposition,[],[f381,f347])).
% 5.10/1.10 tff(f1768,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | nil(X0) = X1 | cons(X0,sK3(X0,X1),sK4(X0,X1)) != X2) )),
% 5.10/1.10 inference(superposition,[],[f347,f823])).
% 5.10/1.10 tff(f1797,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),nil(X0)) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1767,f326])).
% 5.10/1.10 tff(f1767,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),rev(X0,nil(X0))) = X1 | nil(X0) = X1 | nil(X0) != sK4(X0,X1)) )),
% 5.10/1.10 inference(superposition,[],[f347,f631])).
% 5.10/1.10 tff(f1796,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (cons(X0,sK3(X0,X1),X2) = X1 | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1766,f328])).
% 5.10/1.10 tff(f1766,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (cons(X0,sK3(X0,X1),rev(X0,rev(X0,X2))) = X1 | nil(X0) = X1 | sK4(X0,X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f347,f823])).
% 5.10/1.10 tff(f1795,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),nil(X0),sK4(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1765,f326])).
% 5.10/1.10 tff(f1765,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(list(X0))] : (cons(list(X0),rev(X0,nil(X0)),sK4(list(X0),X1)) = X1 | nil(list(X0)) = X1 | nil(X0) != sK3(list(X0),X1)) )),
% 5.10/1.10 inference(superposition,[],[f347,f631])).
% 5.10/1.10 tff(f1794,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (cons(list(X0),X2,sK4(list(X0),X1)) = X1 | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1764,f328])).
% 5.10/1.10 tff(f1764,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (cons(list(X0),rev(X0,rev(X0,X2)),sK4(list(X0),X1)) = X1 | nil(list(X0)) = X1 | sK3(list(X0),X1) != X2) )),
% 5.10/1.10 inference(superposition,[],[f347,f823])).
% 5.10/1.10 tff(f347,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1) )),
% 5.10/1.10 inference(cnf_transformation,[],[f252])).
% 5.10/1.10 tff(f252,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : (cons(X0,sK3(X0,X1),sK4(X0,X1)) = X1 | nil(X0) = X1)),
% 5.10/1.10 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f218,f251])).
% 5.10/1.10 tff(f251,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) = X1 => cons(X0,sK3(X0,X1),sK4(X0,X1)) = X1)),
% 5.10/1.10 introduced(choice_axiom,[])).
% 5.10/1.10 tff(f218,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) = X1 | nil(X0) = X1)),
% 5.10/1.10 inference(ennf_transformation,[],[f129])).
% 5.10/1.10 tff(f129,plain,(
% 5.10/1.10 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => ~! [X2 : X0,X3 : list(X0)] : cons(X0,X2,X3) != X1)),
% 5.10/1.10 inference(rectify,[],[f9])).
% 5.10/1.10 tff(f9,axiom,(
% 5.10/1.10 ! [X0 : $tType,X17 : list(X0)] : (nil(X0) != X17 => ~! [X3 : X0,X18 : list(X0)] : cons(X0,X3,X18) != X17)),
% 5.10/1.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_list_Oexhaust)).
% 5.10/1.10 tff(f1759,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,nil(X0),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f1756])).
% 5.10/1.10 tff(f1756,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,nil(X0),X2) | nil(X0) != X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1744,f1139])).
% 5.10/1.10 tff(f1763,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,nil(X0),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1762,f326])).
% 5.10/1.10 tff(f1762,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,rev(X0,nil(X0)),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f1758,f1139])).
% 5.10/1.10 tff(f1758,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,rev(X0,nil(X0)),X2) | nil(X0) != X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1744,f631])).
% 5.10/1.10 tff(f1761,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X3,X2) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1757,f328])).
% 5.10/1.10 tff(f1757,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,rev(X0,rev(X0,X3)),X2) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1744,f823])).
% 5.10/1.10 tff(f1755,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,nil(X0),X2) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1744,f1092])).
% 5.10/1.10 tff(f1744,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1732,f332])).
% 5.10/1.10 tff(f1732,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,nil(X0),X3),takeWhile(X0,X1,X2),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1096,f1144])).
% 5.10/1.10 tff(f1753,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1742,f326])).
% 5.10/1.10 tff(f1742,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),rev(X0,nil(X0)),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1096,f631])).
% 5.10/1.10 tff(f1752,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),X3,X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1741,f328])).
% 5.10/1.10 tff(f1741,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,dropWhile(X0,X1,X2),X4),rev(X0,rev(X0,X3)),X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1096,f823])).
% 5.10/1.10 tff(f1740,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),nil(X0),X2) | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1096,f1139])).
% 5.10/1.10 tff(f1739,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),nil(X0),X2) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1096,f1092])).
% 5.10/1.10 tff(f1749,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1737,f326])).
% 5.10/1.10 tff(f1737,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,rev(X0,nil(X0)),takeWhile(X0,X1,X2),X2) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.10 inference(superposition,[],[f1096,f631])).
% 5.10/1.10 tff(f1748,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X4,takeWhile(X0,X1,X2),X2) | append(X0,dropWhile(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1736,f328])).
% 5.10/1.10 tff(f1736,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,rev(X0,rev(X0,X4)),takeWhile(X0,X1,X2),X2) | append(X0,dropWhile(X0,X1,X2),X3) != X4) )),
% 5.10/1.10 inference(superposition,[],[f1096,f823])).
% 5.10/1.10 tff(f1747,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1746,f332])).
% 5.10/1.10 tff(f1746,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,nil(X0),X3),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1734,f326])).
% 5.10/1.10 tff(f1734,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,rev(X0,nil(X0)),X3),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1096,f631])).
% 5.10/1.10 tff(f1745,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,X3,X4),takeWhile(X0,X1,X2),X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1733,f328])).
% 5.10/1.10 tff(f1733,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,append(X0,rev(X0,rev(X0,X3)),X4),takeWhile(X0,X1,X2),X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(superposition,[],[f1096,f823])).
% 5.10/1.10 tff(f1096,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,append(X0,dropWhile(X0,X1,X2),X3),takeWhile(X0,X1,X2),X2)) )),
% 5.10/1.10 inference(superposition,[],[f532,f376])).
% 5.10/1.10 tff(f1726,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,nil(X0),X2,X3,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(duplicate_literal_removal,[],[f1723])).
% 5.10/1.10 tff(f1723,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,nil(X0),X2,X3,X3) | nil(X0) != X2 | nil(X0) != X2) )),
% 5.10/1.10 inference(superposition,[],[f1716,f1144])).
% 5.10/1.10 tff(f1730,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,nil(X0),X2,X3,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1729,f326])).
% 5.10/1.10 tff(f1729,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,rev(X0,nil(X0)),X2,X3,X3) | nil(X0) != X2) )),
% 5.10/1.10 inference(subsumption_resolution,[],[f1725,f1144])).
% 5.10/1.10 tff(f1725,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,nil(X0)),X2,X3,X3) | nil(X0) != X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.10 inference(superposition,[],[f1716,f631])).
% 5.10/1.10 tff(f1728,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X2,X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.10 inference(forward_demodulation,[],[f1724,f328])).
% 5.10/1.10 tff(f1724,plain,(
% 5.10/1.10 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1716,f823])).
% 5.10/1.11 tff(f1716,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1703,f331])).
% 5.10/1.11 tff(f1703,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1095,f1139])).
% 5.10/1.11 tff(f1721,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,nil(X0)) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1708,f326])).
% 5.10/1.11 tff(f1708,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,rev(X0,nil(X0))) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.11 inference(superposition,[],[f1095,f631])).
% 5.10/1.11 tff(f1720,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,X4) | append(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1707,f328])).
% 5.10/1.11 tff(f1707,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X2,X3),X3,X1,rev(X0,rev(X0,X4))) | append(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(superposition,[],[f1095,f823])).
% 5.10/1.11 tff(f1719,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1718,f331])).
% 5.10/1.11 tff(f1718,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1705,f326])).
% 5.10/1.11 tff(f1705,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,rev(X0,nil(X0)))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1095,f631])).
% 5.10/1.11 tff(f1717,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,X3)) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1704,f328])).
% 5.10/1.11 tff(f1704,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X4,append(X0,X4,rev(X0,rev(X0,X3)))) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1095,f823])).
% 5.10/1.11 tff(f1714,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1702,f331])).
% 5.10/1.11 tff(f1702,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,nil(X0))) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1095,f1092])).
% 5.10/1.11 tff(f1711,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1700,f326])).
% 5.10/1.11 tff(f1700,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,nil(X0)),X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1095,f631])).
% 5.10/1.11 tff(f1710,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X3,X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1699,f328])).
% 5.10/1.11 tff(f1699,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,X4,append(X0,X4,takeWhile(X0,X1,X2))) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1095,f823])).
% 5.10/1.11 tff(f1698,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,X3,append(X0,X3,takeWhile(X0,X1,X2))) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1095,f1144])).
% 5.10/1.11 tff(f1095,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,X3,append(X0,X3,takeWhile(X0,X1,X2)))) )),
% 5.10/1.11 inference(superposition,[],[f532,f376])).
% 5.10/1.11 tff(f1692,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(duplicate_literal_removal,[],[f1689])).
% 5.10/1.11 tff(f1689,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,X2,nil(X0)) | nil(X0) != X2 | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1677,f1139])).
% 5.10/1.11 tff(f1696,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1695,f326])).
% 5.10/1.11 tff(f1695,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X3,X3,X2,rev(X0,nil(X0))) | nil(X0) != X2) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f1691,f1139])).
% 5.10/1.11 tff(f1691,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,rev(X0,nil(X0))) | nil(X0) != X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1677,f631])).
% 5.10/1.11 tff(f1694,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X2,X3) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1690,f328])).
% 5.10/1.11 tff(f1690,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X4,X2,rev(X0,rev(X0,X3))) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1677,f823])).
% 5.10/1.11 tff(f1688,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,nil(X0)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1677,f1092])).
% 5.10/1.11 tff(f1677,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1665,f332])).
% 5.10/1.11 tff(f1665,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,nil(X0),X3),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1094,f1144])).
% 5.10/1.11 tff(f1686,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1675,f326])).
% 5.10/1.11 tff(f1675,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,rev(X0,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1094,f631])).
% 5.10/1.11 tff(f1685,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,X3) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1674,f328])).
% 5.10/1.11 tff(f1674,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X4),X4,X2,rev(X0,rev(X0,X3))) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1094,f823])).
% 5.10/1.11 tff(f1673,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1094,f1139])).
% 5.10/1.11 tff(f1672,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,nil(X0)) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1094,f1092])).
% 5.10/1.11 tff(f1682,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1670,f326])).
% 5.10/1.11 tff(f1670,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,nil(X0)),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != append(X0,dropWhile(X0,X1,X2),X3)) )),
% 5.10/1.11 inference(superposition,[],[f1094,f631])).
% 5.10/1.11 tff(f1681,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X4,X3,X2,takeWhile(X0,X1,X2)) | append(X0,dropWhile(X0,X1,X2),X3) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1669,f328])).
% 5.10/1.11 tff(f1669,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X4)),X3,X2,takeWhile(X0,X1,X2)) | append(X0,dropWhile(X0,X1,X2),X3) != X4) )),
% 5.10/1.11 inference(superposition,[],[f1094,f823])).
% 5.10/1.11 tff(f1680,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1679,f332])).
% 5.10/1.11 tff(f1679,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,nil(X0),X3),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1667,f326])).
% 5.10/1.11 tff(f1667,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,rev(X0,nil(X0)),X3),X3,X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1094,f631])).
% 5.10/1.11 tff(f1678,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,X3,X4),X4,X2,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1666,f328])).
% 5.10/1.11 tff(f1666,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,append(X0,rev(X0,rev(X0,X3)),X4),X4,X2,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1094,f823])).
% 5.10/1.11 tff(f1094,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,append(X0,dropWhile(X0,X1,X2),X3),X3,X2,takeWhile(X0,X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f530,f376])).
% 5.10/1.11 tff(f1658,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(duplicate_literal_removal,[],[f1655])).
% 5.10/1.11 tff(f1655,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X3) | nil(X0) != X2 | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1648,f1144])).
% 5.10/1.11 tff(f1662,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1661,f326])).
% 5.10/1.11 tff(f1661,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0)] : (sP0(X0,X2,rev(X0,nil(X0)),X3,X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f1657,f1144])).
% 5.10/1.11 tff(f1657,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,rev(X0,nil(X0)),X3,X3) | nil(X0) != X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1648,f631])).
% 5.10/1.11 tff(f1660,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,X3,X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1656,f328])).
% 5.10/1.11 tff(f1656,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),X4,X4) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1648,f823])).
% 5.10/1.11 tff(f1648,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1635,f331])).
% 5.10/1.11 tff(f1635,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,nil(X0)),X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1093,f1139])).
% 5.10/1.11 tff(f1653,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),nil(X0),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1640,f326])).
% 5.10/1.11 tff(f1640,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),rev(X0,nil(X0)),X1) | nil(X0) != append(X0,X1,takeWhile(X0,X2,X3))) )),
% 5.10/1.11 inference(superposition,[],[f1093,f631])).
% 5.10/1.11 tff(f1652,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),X4,X1) | append(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1639,f328])).
% 5.10/1.11 tff(f1639,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,dropWhile(X0,X2,X3),rev(X0,rev(X0,X4)),X1) | append(X0,X1,takeWhile(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(superposition,[],[f1093,f823])).
% 5.10/1.11 tff(f1651,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1650,f331])).
% 5.10/1.11 tff(f1650,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,nil(X0)),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1637,f326])).
% 5.10/1.11 tff(f1637,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,rev(X0,nil(X0))),X3) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1093,f631])).
% 5.10/1.11 tff(f1649,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,X3),X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1636,f328])).
% 5.10/1.11 tff(f1636,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X4,rev(X0,rev(X0,X3))),X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1093,f823])).
% 5.10/1.11 tff(f1646,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1634,f331])).
% 5.10/1.11 tff(f1634,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,nil(X0)),X3) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1093,f1092])).
% 5.10/1.11 tff(f1643,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),append(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1632,f326])).
% 5.10/1.11 tff(f1632,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,rev(X0,nil(X0)),append(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1093,f631])).
% 5.10/1.11 tff(f1642,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,X3,append(X0,X4,takeWhile(X0,X1,X2)),X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1631,f328])).
% 5.10/1.11 tff(f1631,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),append(X0,X4,takeWhile(X0,X1,X2)),X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1093,f823])).
% 5.10/1.11 tff(f1630,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),append(X0,X3,takeWhile(X0,X1,X2)),X3) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1093,f1144])).
% 5.10/1.11 tff(f1093,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),append(X0,X3,takeWhile(X0,X1,X2)),X3)) )),
% 5.10/1.11 inference(superposition,[],[f530,f376])).
% 5.10/1.11 tff(f1623,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1102,f1092])).
% 5.10/1.11 tff(f1622,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1101,f1092])).
% 5.10/1.11 tff(f1621,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1100,f1092])).
% 5.10/1.11 tff(f1620,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1099,f1092])).
% 5.10/1.11 tff(f1616,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f376,f1092])).
% 5.10/1.11 tff(f1614,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X3)) | dropWhile(X0,X1,X2) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1092,f823])).
% 5.10/1.11 tff(f1092,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = takeWhile(X0,X1,X2) | dropWhile(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(superposition,[],[f409,f376])).
% 5.10/1.11 tff(f1611,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (rev(X0,nil(X0)) != X2 | nil(X0) = dropWhile(X0,X1,X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1091,f631])).
% 5.10/1.11 tff(f1610,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) != X2 | nil(X0) = dropWhile(X0,X1,X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1091,f823])).
% 5.10/1.11 tff(f1091,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) != X2 | nil(X0) = dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f407,f376])).
% 5.10/1.11 tff(f1607,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (X0 != X1 | distinct(arrow_411405190le_alt,X1) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1604,f328])).
% 5.10/1.11 tff(f1604,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) != X1 | distinct(arrow_411405190le_alt,X1) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(superposition,[],[f1602,f823])).
% 5.10/1.11 tff(f1602,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1600,f328])).
% 5.10/1.11 tff(f1600,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(superposition,[],[f1591,f823])).
% 5.10/1.11 tff(f1591,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))),
% 5.10/1.11 inference(resolution,[],[f441,f1154])).
% 5.10/1.11 tff(f1598,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | distinct(X0,cons(X0,X2,X3)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1595,f328])).
% 5.10/1.11 tff(f1595,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | distinct(X0,cons(X0,X2,X3)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(superposition,[],[f441,f823])).
% 5.10/1.11 tff(f1597,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,X3)) | distinct(X0,cons(X0,X1,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1593,f328])).
% 5.10/1.11 tff(f1593,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) | distinct(X0,cons(X0,X1,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f441,f823])).
% 5.10/1.11 tff(f441,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X3,cons(X0,X2,X1))) | distinct(X0,cons(X0,X2,X1))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f288])).
% 5.10/1.11 tff(f1590,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (X0 != X1 | distinct(arrow_411405190le_alt,X1) | cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1587,f328])).
% 5.10/1.11 tff(f1587,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)) != X1 | distinct(arrow_411405190le_alt,X1) | cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(superposition,[],[f1585,f823])).
% 5.10/1.11 tff(f1585,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1583,f328])).
% 5.10/1.11 tff(f1583,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) | cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(superposition,[],[f1574,f823])).
% 5.10/1.11 tff(f1574,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))),
% 5.10/1.11 inference(resolution,[],[f440,f1154])).
% 5.10/1.11 tff(f1581,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,X4) | distinct(X0,cons(X0,X1,X3)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1578,f328])).
% 5.10/1.11 tff(f1578,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0,X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | distinct(X0,cons(X0,X1,X3)) | cons(X0,X1,cons(X0,X2,X3)) != X4) )),
% 5.10/1.11 inference(superposition,[],[f440,f823])).
% 5.10/1.11 tff(f1580,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,X3)) | distinct(X0,cons(X0,X4,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1576,f328])).
% 5.10/1.11 tff(f1576,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (~distinct(X0,cons(X0,X4,rev(X0,rev(X0,X3)))) | distinct(X0,cons(X0,X4,X2)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f440,f823])).
% 5.10/1.11 tff(f440,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : list(X0)] : (~distinct(X0,cons(X0,X3,cons(X0,X2,X1))) | distinct(X0,cons(X0,X3,X1))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f288])).
% 5.10/1.11 tff(f1573,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (X3 != X4 | ~null(X0,X5) | X4 != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1570,f328])).
% 5.10/1.11 tff(f1570,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0),X5 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~null(X0,X5) | X4 != X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1040,f823])).
% 5.10/1.11 tff(f1569,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,X3) | X2 != X3) )),
% 5.10/1.11 inference(superposition,[],[f1040,f335])).
% 5.10/1.11 tff(f1040,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X2) != X3 | ~null(X0,X4) | X3 != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1037,f328])).
% 5.10/1.11 tff(f1037,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~null(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1002,f823])).
% 5.10/1.11 tff(f1566,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | nil(X0) != X1 | distinct(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1560,f328])).
% 5.10/1.11 tff(f1560,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | nil(X0) != X1 | distinct(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1021,f823])).
% 5.10/1.11 tff(f1558,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | nil(X0) != rev(X0,X1) | distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1021,f823])).
% 5.10/1.11 tff(f1553,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | nil(X0) != X1 | distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1021,f641])).
% 5.10/1.11 tff(f1552,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | nil(X0) != X1 | distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1021,f641])).
% 5.10/1.11 tff(f1021,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | nil(X0) != X1 | distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f945,f328])).
% 5.10/1.11 tff(f945,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f787,f823])).
% 5.10/1.11 tff(f1551,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1549,f326])).
% 5.10/1.11 tff(f1549,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f387,f631])).
% 5.10/1.11 tff(f1548,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = hd(list(X0),X1) | nil(list(X0)) = X1 | hd(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f387,f823])).
% 5.10/1.11 tff(f1550,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (hd(X0,X1) = hd(X0,X3) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1546,f328])).
% 5.10/1.11 tff(f1546,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (hd(X0,X1) = hd(X0,rev(X0,rev(X0,X3))) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f387,f823])).
% 5.10/1.11 tff(f1545,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (hd(X0,X2) = hd(X0,takeWhile(X0,X1,X2)) | nil(X0) = takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f387,f376])).
% 5.10/1.11 tff(f387,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X2) = hd(X0,append(X0,X2,X1)) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f223])).
% 5.10/1.11 tff(f223,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((hd(X0,X2) = hd(X0,append(X0,X2,X1)) | nil(X0) = X2) & (hd(X0,X1) = hd(X0,append(X0,X2,X1)) | nil(X0) != X2))),
% 5.10/1.11 inference(ennf_transformation,[],[f156])).
% 5.10/1.11 tff(f156,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) != X2 => hd(X0,X2) = hd(X0,append(X0,X2,X1))) & (nil(X0) = X2 => hd(X0,X1) = hd(X0,append(X0,X2,X1))))),
% 5.10/1.11 inference(rectify,[],[f100])).
% 5.10/1.11 tff(f100,axiom,(
% 5.10/1.11 ! [X0 : $tType,X22 : list(X0),X19 : list(X0)] : ((nil(X0) != X19 => hd(X0,X19) = hd(X0,append(X0,X19,X22))) & (nil(X0) = X19 => hd(X0,append(X0,X19,X22)) = hd(X0,X22)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_hd__append)).
% 5.10/1.11 tff(f1541,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | rev(X0,X3) = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1411,f823])).
% 5.10/1.11 tff(f1411,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | rev(X0,X2) = X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1410,f328])).
% 5.10/1.11 tff(f1410,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,X2) = rev(X0,rev(X0,X2)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1385,f328])).
% 5.10/1.11 tff(f1385,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) = rev(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1383,f823])).
% 5.10/1.11 tff(f1540,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | distinct(X0,X1) | nil(X0) != X3 | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1536,f328])).
% 5.10/1.11 tff(f1536,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | distinct(X0,X1) | nil(X0) != X3 | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1022,f823])).
% 5.10/1.11 tff(f1022,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | distinct(X0,X1) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f947,f328])).
% 5.10/1.11 tff(f947,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | distinct(X0,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f775,f823])).
% 5.10/1.11 tff(f1534,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | distinct(X0,X1) | nil(X0) != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1529,f328])).
% 5.10/1.11 tff(f1529,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | distinct(X0,X1) | nil(X0) != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1020,f823])).
% 5.10/1.11 tff(f1527,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | distinct(X0,rev(X0,X1)) | nil(X0) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1020,f823])).
% 5.10/1.11 tff(f1522,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | distinct(X0,X1) | nil(X0) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1020,f641])).
% 5.10/1.11 tff(f1521,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | distinct(X0,X1) | nil(X0) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1020,f641])).
% 5.10/1.11 tff(f1020,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | distinct(X0,X1) | nil(X0) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f944,f328])).
% 5.10/1.11 tff(f944,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | distinct(X0,X1) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f768,f823])).
% 5.10/1.11 tff(f1520,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (X2 != X3 | ~distinct(X0,X3) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1516,f328])).
% 5.10/1.11 tff(f1516,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | ~distinct(X0,X3) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1011,f823])).
% 5.10/1.11 tff(f1519,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | ~distinct(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1514,f328])).
% 5.10/1.11 tff(f1514,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,rev(X0,rev(X0,X2))) != X3 | ~distinct(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1011,f823])).
% 5.10/1.11 tff(f1011,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,insert(X0,X1,nil(X0))) != X2 | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f928,f328])).
% 5.10/1.11 tff(f928,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X2))) | cons(X0,X1,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f572,f823])).
% 5.10/1.11 tff(f1010,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X2,nil(X0),X3,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f927,f328])).
% 5.10/1.11 tff(f927,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X2,nil(X0),rev(X0,rev(X0,X3)),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f622,f823])).
% 5.10/1.11 tff(f1009,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X2,nil(X0),X3,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f926,f328])).
% 5.10/1.11 tff(f926,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X2,nil(X0),rev(X0,rev(X0,X3)),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f616,f823])).
% 5.10/1.11 tff(f1008,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X2,X3,nil(X0),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f925,f328])).
% 5.10/1.11 tff(f925,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X2,rev(X0,rev(X0,X3)),nil(X0),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f540,f823])).
% 5.10/1.11 tff(f1006,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X2,X3,nil(X0),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f923,f328])).
% 5.10/1.11 tff(f923,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X2,rev(X0,rev(X0,X3)),nil(X0),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f536,f823])).
% 5.10/1.11 tff(f1513,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X2 != X3 | sP2(X0,X4,X4,X3,X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1510,f328])).
% 5.10/1.11 tff(f1510,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | sP2(X0,X4,X4,X3,X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f998,f823])).
% 5.10/1.11 tff(f998,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sP2(X0,X3,X3,X2,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f912,f328])).
% 5.10/1.11 tff(f912,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP2(X0,X3,X3,rev(X0,rev(X0,X2)),X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f625,f823])).
% 5.10/1.11 tff(f1509,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X2 != X3 | sP1(X0,X4,X4,X3,X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1506,f328])).
% 5.10/1.11 tff(f1506,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | sP1(X0,X4,X4,X3,X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f997,f823])).
% 5.10/1.11 tff(f997,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | sP1(X0,X3,X3,X2,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f911,f328])).
% 5.10/1.11 tff(f911,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (sP1(X0,X3,X3,rev(X0,rev(X0,X2)),X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f619,f823])).
% 5.10/1.11 tff(f1505,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (nil(X0) = last(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1501,f326])).
% 5.10/1.11 tff(f1501,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(list(X0))] : (rev(X0,nil(X0)) = last(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f385,f631])).
% 5.10/1.11 tff(f1500,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = last(list(X0),X2) | nil(list(X0)) = X2 | last(list(X0),append(list(X0),X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f385,f823])).
% 5.10/1.11 tff(f1504,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (last(X0,X2) = last(X0,X3) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1498,f328])).
% 5.10/1.11 tff(f1498,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (last(X0,X2) = last(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f385,f823])).
% 5.10/1.11 tff(f1497,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (last(X0,X2) = last(X0,dropWhile(X0,X1,X2)) | nil(X0) = dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f385,f376])).
% 5.10/1.11 tff(f385,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = last(X0,append(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f222])).
% 5.10/1.11 tff(f222,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((last(X0,X2) = last(X0,append(X0,X1,X2)) | nil(X0) = X2) & (last(X0,X1) = last(X0,append(X0,X1,X2)) | nil(X0) != X2))),
% 5.10/1.11 inference(ennf_transformation,[],[f155])).
% 5.10/1.11 tff(f155,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) != X2 => last(X0,X2) = last(X0,append(X0,X1,X2))) & (nil(X0) = X2 => last(X0,X1) = last(X0,append(X0,X1,X2))))),
% 5.10/1.11 inference(rectify,[],[f67])).
% 5.10/1.11 tff(f67,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X22 : list(X0)] : ((nil(X0) != X22 => last(X0,append(X0,X19,X22)) = last(X0,X22)) & (nil(X0) = X22 => last(X0,X19) = last(X0,append(X0,X19,X22))))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_last__append)).
% 5.10/1.11 tff(f1495,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (X2 != X3 | ~distinct(X0,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1492,f328])).
% 5.10/1.11 tff(f1492,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | ~distinct(X0,cons(X0,X1,X3)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f992,f823])).
% 5.10/1.11 tff(f992,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~distinct(X0,cons(X0,X1,X2))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f906,f328])).
% 5.10/1.11 tff(f906,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,rev(X0,rev(X0,X2)))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f572,f823])).
% 5.10/1.11 tff(f981,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X3,nil(X0),X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f890,f328])).
% 5.10/1.11 tff(f890,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),nil(X0),X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f607,f823])).
% 5.10/1.11 tff(f980,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,X3) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f889,f328])).
% 5.10/1.11 tff(f889,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,rev(X0,rev(X0,X3))) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f604,f823])).
% 5.10/1.11 tff(f979,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,X2,X1,nil(X0)) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f888,f328])).
% 5.10/1.11 tff(f888,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,X1,nil(X0)) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f599,f823])).
% 5.10/1.11 tff(f978,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X3,X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f887,f328])).
% 5.10/1.11 tff(f887,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),rev(X0,rev(X0,X3)),X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f596,f823])).
% 5.10/1.11 tff(f1490,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | nil(X0) != X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1486,f328])).
% 5.10/1.11 tff(f1486,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | nil(X0) != X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f876,f823])).
% 5.10/1.11 tff(f1485,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X1) | nil(X0) != X2 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f876,f328])).
% 5.10/1.11 tff(f1484,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | nil(X0) != X3 | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f876,f823])).
% 5.10/1.11 tff(f1479,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | nil(X0) != X3 | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f876,f641])).
% 5.10/1.11 tff(f1478,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | nil(X0) != X3 | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f876,f641])).
% 5.10/1.11 tff(f1476,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | X1 != X2 | distinct(X0,X3) | X2 != X3) )),
% 5.10/1.11 inference(resolution,[],[f876,f824])).
% 5.10/1.11 tff(f876,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X1)) | nil(X0) != X2 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f768,f823])).
% 5.10/1.11 tff(f1475,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | distinct(X0,X3) | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1470,f328])).
% 5.10/1.11 tff(f1470,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | distinct(X0,X3) | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f831,f823])).
% 5.10/1.11 tff(f1469,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | distinct(X0,X2) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f831,f328])).
% 5.10/1.11 tff(f1468,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | distinct(X0,X3) | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f831,f823])).
% 5.10/1.11 tff(f1463,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | distinct(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f831,f641])).
% 5.10/1.11 tff(f1462,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | distinct(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f831,f641])).
% 5.10/1.11 tff(f831,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | distinct(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f768,f641])).
% 5.10/1.11 tff(f1460,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | splice(X0,nil(X0),X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f777,f823])).
% 5.10/1.11 tff(f777,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != splice(X0,nil(X0),X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f729,f326])).
% 5.10/1.11 tff(f729,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != splice(X0,nil(X0),X1)) )),
% 5.10/1.11 inference(superposition,[],[f330,f631])).
% 5.10/1.11 tff(f1456,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | splice(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f776,f823])).
% 5.10/1.11 tff(f776,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != splice(X0,X1,nil(X0)) | nil(X0) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f728,f326])).
% 5.10/1.11 tff(f728,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != splice(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f329,f631])).
% 5.10/1.11 tff(f1450,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | rev(X0,rev(X0,X1)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f823])).
% 5.10/1.11 tff(f1448,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f641])).
% 5.10/1.11 tff(f1447,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f641])).
% 5.10/1.11 tff(f1453,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1443,f328])).
% 5.10/1.11 tff(f1443,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f823])).
% 5.10/1.11 tff(f1441,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f823])).
% 5.10/1.11 tff(f1436,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f641])).
% 5.10/1.11 tff(f1435,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f772,f641])).
% 5.10/1.11 tff(f772,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f723,f326])).
% 5.10/1.11 tff(f723,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.11 inference(superposition,[],[f328,f631])).
% 5.10/1.11 tff(f1434,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = last(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1430,f326])).
% 5.10/1.11 tff(f1430,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = last(list(X0),X2) | nil(list(X0)) = X2 | nil(X0) != last(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f381,f631])).
% 5.10/1.11 tff(f1429,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = last(list(X0),X2) | nil(list(X0)) = X2 | last(list(X0),cons(list(X0),X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f381,f823])).
% 5.10/1.11 tff(f1433,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,X2) = last(X0,X3) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1427,f328])).
% 5.10/1.11 tff(f1427,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,X2) = last(X0,rev(X0,rev(X0,X3))) | nil(X0) = X2 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f381,f823])).
% 5.10/1.11 tff(f381,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = last(X0,X2) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f220])).
% 5.10/1.11 tff(f220,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((last(X0,cons(X0,X1,X2)) = last(X0,X2) | nil(X0) = X2) & (last(X0,cons(X0,X1,X2)) = X1 | nil(X0) != X2))),
% 5.10/1.11 inference(ennf_transformation,[],[f153])).
% 5.10/1.11 tff(f153,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : ((nil(X0) != X2 => last(X0,cons(X0,X1,X2)) = last(X0,X2)) & (nil(X0) = X2 => last(X0,cons(X0,X1,X2)) = X1))),
% 5.10/1.11 inference(rectify,[],[f24])).
% 5.10/1.11 tff(f24,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : ((nil(X0) != X19 => last(X0,cons(X0,X6,X19)) = last(X0,X19)) & (nil(X0) = X19 => last(X0,cons(X0,X6,X19)) = X6))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_last_Osimps)).
% 5.10/1.11 tff(f1425,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0),X4 : list(X0)] : (nil(X0) != X4 | ~linorder(X1) | distinct(X0,X3) | linorder_sort_key(X0,X1,X2,X3) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1422,f328])).
% 5.10/1.11 tff(f1422,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0),X4 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X4)) | ~linorder(X1) | distinct(X0,X3) | linorder_sort_key(X0,X1,X2,X3) != X4) )),
% 5.10/1.11 inference(superposition,[],[f765,f823])).
% 5.10/1.11 tff(f765,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0)] : (nil(X0) != linorder_sort_key(X0,X1,X2,X3) | ~linorder(X1) | distinct(X0,X3)) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f764,f324])).
% 5.10/1.11 tff(f764,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0)] : (~distinct(X0,nil(X0)) | distinct(X0,X3) | ~linorder(X1) | nil(X0) != linorder_sort_key(X0,X1,X2,X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f697,f326])).
% 5.10/1.11 tff(f697,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0)] : (~distinct(X0,rev(X0,nil(X0))) | distinct(X0,X3) | ~linorder(X1) | nil(X0) != linorder_sort_key(X0,X1,X2,X3)) )),
% 5.10/1.11 inference(superposition,[],[f338,f631])).
% 5.10/1.11 tff(f1419,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0] : (rev(X0,rev(X0,X3)) != insert(X0,X4,nil(X0)) | X1 = X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1147,f823])).
% 5.10/1.11 tff(f1416,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (cons(X0,X3,X4) != rev(X0,rev(X0,X2)) | X1 = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1147,f823])).
% 5.10/1.11 tff(f1147,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X2,X3) | X1 = X2) )),
% 5.10/1.11 inference(superposition,[],[f481,f335])).
% 5.10/1.11 tff(f1406,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (rev(X0,insert(X0,X1,nil(X0))) = X2 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f1383])).
% 5.10/1.11 tff(f1403,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f1383])).
% 5.10/1.11 tff(f1402,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f1383])).
% 5.10/1.11 tff(f1401,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | insert(X0,X1,nil(X0)) = rev(X0,X2)) )),
% 5.10/1.11 inference(superposition,[],[f590,f1383])).
% 5.10/1.11 tff(f1399,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | insert(X0,X1,nil(X0)) = X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f1383])).
% 5.10/1.11 tff(f1398,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != rev(X0,X2) | insert(X0,X1,nil(X0)) = X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f1383])).
% 5.10/1.11 tff(f1390,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,rev(X0,X2)) | rev(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1383,f823])).
% 5.10/1.11 tff(f1388,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1383,f641])).
% 5.10/1.11 tff(f1387,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1383,f641])).
% 5.10/1.11 tff(f1383,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f518,f335])).
% 5.10/1.11 tff(f1384,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0] : (insert(X0,X2,nil(X0)) = rev(X0,insert(X0,X2,nil(X0)))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f519,f335])).
% 5.10/1.11 tff(f1380,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | X2 = X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f482,f823])).
% 5.10/1.11 tff(f1379,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X2,X3) | nil(X0) = X3) )),
% 5.10/1.11 inference(superposition,[],[f482,f335])).
% 5.10/1.11 tff(f1377,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | X2 = X5 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f482,f823])).
% 5.10/1.11 tff(f482,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X2,X1) != cons(X0,X4,X3) | X1 = X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f313])).
% 5.10/1.11 tff(f313,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : X0] : ((cons(X0,X2,X1) = cons(X0,X4,X3) | X1 != X3 | X2 != X4) & ((X1 = X3 & X2 = X4) | cons(X0,X2,X1) != cons(X0,X4,X3)))),
% 5.10/1.11 inference(flattening,[],[f312])).
% 5.10/1.11 tff(f312,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : X0] : ((cons(X0,X2,X1) = cons(X0,X4,X3) | (X1 != X3 | X2 != X4)) & ((X1 = X3 & X2 = X4) | cons(X0,X2,X1) != cons(X0,X4,X3)))),
% 5.10/1.11 inference(nnf_transformation,[],[f198])).
% 5.10/1.11 tff(f198,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0),X4 : X0] : (cons(X0,X2,X1) = cons(X0,X4,X3) <=> (X1 = X3 & X2 = X4))),
% 5.10/1.11 inference(rectify,[],[f4])).
% 5.10/1.11 tff(f4,axiom,(
% 5.10/1.11 ! [X0 : $tType,X7 : list(X0),X8 : X0,X9 : list(X0),X10 : X0] : (cons(X0,X10,X9) = cons(X0,X8,X7) <=> (X7 = X9 & X8 = X10))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_list_Oinject)).
% 5.10/1.11 tff(f1375,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | X1 = X2 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1373,f326])).
% 5.10/1.11 tff(f1373,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | X1 = X2 | nil(X0) != append(X0,nil(X0),X1)) )),
% 5.10/1.11 inference(superposition,[],[f1358,f631])).
% 5.10/1.11 tff(f1372,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | X1 = X3 | append(X0,nil(X0),X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1358,f823])).
% 5.10/1.11 tff(f1358,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,nil(X0),X2) != X1 | X1 = X2) )),
% 5.10/1.11 inference(superposition,[],[f445,f332])).
% 5.10/1.11 tff(f1369,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X3) | X2 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1366,f326])).
% 5.10/1.11 tff(f1366,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != append(X0,X1,X3) | X2 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f445,f631])).
% 5.10/1.11 tff(f1365,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != append(X0,X1,X4) | X2 = X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f445,f823])).
% 5.10/1.11 tff(f1364,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X3) != X2 | dropWhile(X0,X1,X2) = X3) )),
% 5.10/1.11 inference(superposition,[],[f445,f376])).
% 5.10/1.11 tff(f1363,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,nil(X0),X2) != X1 | X1 = X2) )),
% 5.10/1.11 inference(superposition,[],[f445,f332])).
% 5.10/1.11 tff(f1368,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X1,X3) | X2 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1361,f326])).
% 5.10/1.11 tff(f1361,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != append(X0,X1,X3) | X2 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f445,f631])).
% 5.10/1.11 tff(f1360,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != append(X0,X1,X4) | X2 = X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f445,f823])).
% 5.10/1.11 tff(f1359,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X3) != X2 | dropWhile(X0,X1,X2) = X3) )),
% 5.10/1.11 inference(superposition,[],[f445,f376])).
% 5.10/1.11 tff(f445,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X3,X2) != append(X0,X3,X1) | X1 = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f290])).
% 5.10/1.11 tff(f290,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : ((append(X0,X3,X2) = append(X0,X3,X1) | X1 != X2) & (X1 = X2 | append(X0,X3,X2) != append(X0,X3,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f189])).
% 5.10/1.11 tff(f189,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : (append(X0,X3,X2) = append(X0,X3,X1) <=> X1 = X2)),
% 5.10/1.11 inference(rectify,[],[f41])).
% 5.10/1.11 tff(f41,axiom,(
% 5.10/1.11 ! [X0 : $tType,X32 : list(X0),X31 : list(X0),X11 : list(X0)] : (append(X0,X11,X31) = append(X0,X11,X32) <=> X31 = X32)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_same__append__eq)).
% 5.10/1.11 tff(f1356,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | X1 = X2 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1354,f326])).
% 5.10/1.11 tff(f1354,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | X1 = X2 | nil(X0) != append(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f1338,f631])).
% 5.10/1.11 tff(f1353,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | X1 = X3 | append(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1338,f823])).
% 5.10/1.11 tff(f1338,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,nil(X0)) != X1 | X1 = X2) )),
% 5.10/1.11 inference(superposition,[],[f443,f331])).
% 5.10/1.11 tff(f1350,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,X2) | X1 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1347,f326])).
% 5.10/1.11 tff(f1347,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != append(X0,X3,X2) | X1 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f443,f631])).
% 5.10/1.11 tff(f1346,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != append(X0,X4,X2) | X1 = X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f443,f823])).
% 5.10/1.11 tff(f1345,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,dropWhile(X0,X1,X2)) != X2 | takeWhile(X0,X1,X2) = X3) )),
% 5.10/1.11 inference(superposition,[],[f443,f376])).
% 5.10/1.11 tff(f1343,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,nil(X0)) != X1 | X1 = X2) )),
% 5.10/1.11 inference(superposition,[],[f443,f331])).
% 5.10/1.11 tff(f1349,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X3,X2) | X1 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1342,f326])).
% 5.10/1.11 tff(f1342,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != append(X0,X3,X2) | X1 = X3 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f443,f631])).
% 5.10/1.11 tff(f1341,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != append(X0,X4,X2) | X1 = X4 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f443,f823])).
% 5.10/1.11 tff(f1340,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,dropWhile(X0,X1,X2)) != X2 | takeWhile(X0,X1,X2) = X3) )),
% 5.10/1.11 inference(superposition,[],[f443,f376])).
% 5.10/1.11 tff(f443,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != append(X0,X3,X2) | X1 = X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f289])).
% 5.10/1.11 tff(f289,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : ((append(X0,X1,X2) = append(X0,X3,X2) | X1 != X3) & (X1 = X3 | append(X0,X1,X2) != append(X0,X3,X2)))),
% 5.10/1.11 inference(nnf_transformation,[],[f188])).
% 5.10/1.11 tff(f188,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0)] : (append(X0,X1,X2) = append(X0,X3,X2) <=> X1 = X3)),
% 5.10/1.11 inference(rectify,[],[f40])).
% 5.10/1.11 tff(f40,axiom,(
% 5.10/1.11 ! [X0 : $tType,X32 : list(X0),X11 : list(X0),X31 : list(X0)] : (append(X0,X31,X11) = append(X0,X32,X11) <=> X31 = X32)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_append__same__eq)).
% 5.10/1.11 tff(f1337,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X1 != X2 | ~distinct(arrow_411405190le_alt,X2) | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1332,f328])).
% 5.10/1.11 tff(f1332,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)) != X2 | ~distinct(arrow_411405190le_alt,X2) | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1032,f823])).
% 5.10/1.11 tff(f1336,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,X1) != X2 | ~distinct(arrow_411405190le_alt,X2) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1330,f328])).
% 5.10/1.11 tff(f1330,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) != X2 | ~distinct(arrow_411405190le_alt,X2) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1032,f823])).
% 5.10/1.11 tff(f1335,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X1)) != X2 | ~distinct(arrow_411405190le_alt,X2) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1328,f328])).
% 5.10/1.11 tff(f1328,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)))) != X2 | ~distinct(arrow_411405190le_alt,X2) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1032,f823])).
% 5.10/1.11 tff(f1032,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1 | ~distinct(arrow_411405190le_alt,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1031,f335])).
% 5.10/1.11 tff(f1031,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X1) | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f958,f328])).
% 5.10/1.11 tff(f958,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f318,f823])).
% 5.10/1.11 tff(f1327,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (X1 != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1323,f328])).
% 5.10/1.11 tff(f1323,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1029,f823])).
% 5.10/1.11 tff(f1326,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,X1) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1321,f328])).
% 5.10/1.11 tff(f1321,plain,(
% 5.10/1.11 ( ! [X2 : list(arrow_411405190le_alt),X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) != X2 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X2)) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1029,f823])).
% 5.10/1.11 tff(f1029,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1 | ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X1))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1028,f335])).
% 5.10/1.11 tff(f1028,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X1)) | cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f956,f328])).
% 5.10/1.11 tff(f956,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)))) | cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f318,f823])).
% 5.10/1.11 tff(f1320,plain,(
% 5.10/1.11 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X1) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X0 | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X0)) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1317,f328])).
% 5.10/1.11 tff(f1317,plain,(
% 5.10/1.11 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X0 | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X0)) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1027,f823])).
% 5.10/1.11 tff(f1319,plain,(
% 5.10/1.11 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X1)) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X0 | cons(arrow_411405190le_alt,b,X0) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1315,f328])).
% 5.10/1.11 tff(f1315,plain,(
% 5.10/1.11 ( ! [X2 : arrow_411405190le_alt,X0 : list(arrow_411405190le_alt),X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)))) | insert(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)) != X0 | cons(arrow_411405190le_alt,b,X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1027,f823])).
% 5.10/1.11 tff(f1027,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X1))) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1026,f335])).
% 5.10/1.11 tff(f1026,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X1))) | cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f955,f328])).
% 5.10/1.11 tff(f955,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))))) | cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(superposition,[],[f318,f823])).
% 5.10/1.11 tff(f1313,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1311,f326])).
% 5.10/1.11 tff(f1311,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = hd(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != last(list(X0),rev(list(X0),X1))) )),
% 5.10/1.11 inference(superposition,[],[f344,f631])).
% 5.10/1.11 tff(f1310,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = hd(list(X0),X1) | nil(list(X0)) = X1 | last(list(X0),rev(list(X0),X1)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f344,f823])).
% 5.10/1.11 tff(f1312,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1308,f328])).
% 5.10/1.11 tff(f1308,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f344,f823])).
% 5.10/1.11 tff(f1306,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f344,f641])).
% 5.10/1.11 tff(f1305,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = last(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f344,f641])).
% 5.10/1.11 tff(f1303,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,rev(X0,X1)) = last(X0,X2) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f344,f823])).
% 5.10/1.11 tff(f344,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,rev(X0,X1)) = hd(X0,X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f214])).
% 5.10/1.11 tff(f214,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (last(X0,rev(X0,X1)) = hd(X0,X1) | nil(X0) = X1)),
% 5.10/1.11 inference(ennf_transformation,[],[f126])).
% 5.10/1.11 tff(f126,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => last(X0,rev(X0,X1)) = hd(X0,X1))),
% 5.10/1.11 inference(rectify,[],[f98])).
% 5.10/1.11 tff(f98,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : (nil(X0) != X19 => last(X0,rev(X0,X19)) = hd(X0,X19))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_last__rev)).
% 5.10/1.11 tff(f1299,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (X3 != X4 | ~distinct(X0,X2) | distinct(X0,X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1296,f328])).
% 5.10/1.11 tff(f1296,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~distinct(X0,X2) | distinct(X0,X4) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1025,f823])).
% 5.10/1.11 tff(f1025,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (takeWhile(X0,X1,X2) != X3 | ~distinct(X0,X2) | distinct(X0,X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f954,f328])).
% 5.10/1.11 tff(f954,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,rev(X0,rev(X0,X3))) | ~distinct(X0,X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f392,f823])).
% 5.10/1.11 tff(f1291,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | last(X0,X3) = X1 | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1014,f823])).
% 5.10/1.11 tff(f1014,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) != X2 | last(X0,X2) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f932,f328])).
% 5.10/1.11 tff(f932,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X2))) = X1 | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f498,f823])).
% 5.10/1.11 tff(f1289,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | ~distinct(X0,X4) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1285,f328])).
% 5.10/1.11 tff(f1285,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~distinct(X0,X4) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1012,f823])).
% 5.10/1.11 tff(f1288,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,X3) != X4 | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1283,f328])).
% 5.10/1.11 tff(f1283,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (cons(X0,X1,rev(X0,rev(X0,X3))) != X4 | ~distinct(X0,X4) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1012,f823])).
% 5.10/1.11 tff(f1282,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,insert(X0,X1,nil(X0))) != X2 | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1012,f335])).
% 5.10/1.11 tff(f1012,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,cons(X0,X1,X2)) != X3 | ~distinct(X0,X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f929,f328])).
% 5.10/1.11 tff(f929,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,cons(X0,X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f521,f823])).
% 5.10/1.11 tff(f1281,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | ~distinct(X0,cons(X0,X1,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1278,f328])).
% 5.10/1.11 tff(f1278,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~distinct(X0,cons(X0,X1,X4)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1004,f823])).
% 5.10/1.11 tff(f1277,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~distinct(X0,cons(X0,X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f1004,f335])).
% 5.10/1.11 tff(f1004,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | ~distinct(X0,cons(X0,X1,X3))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f921,f328])).
% 5.10/1.11 tff(f921,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,cons(X0,X1,rev(X0,rev(X0,X3)))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f521,f823])).
% 5.10/1.11 tff(f1274,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | hd(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f991,f823])).
% 5.10/1.11 tff(f991,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | hd(X0,X2) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f905,f328])).
% 5.10/1.11 tff(f905,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (hd(X0,rev(X0,rev(X0,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f571,f823])).
% 5.10/1.11 tff(f1271,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (rev(X0,rev(X0,X2)) != X3 | last(X0,X3) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f988,f823])).
% 5.10/1.11 tff(f988,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | last(X0,X2) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f901,f328])).
% 5.10/1.11 tff(f901,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,rev(X0,rev(X0,X2))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f566,f823])).
% 5.10/1.11 tff(f1269,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (X3 != X4 | ~distinct(X0,X2) | distinct(X0,X4) | insert(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1266,f328])).
% 5.10/1.11 tff(f1266,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~distinct(X0,X2) | distinct(X0,X4) | insert(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f986,f823])).
% 5.10/1.11 tff(f986,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (insert(X0,X1,X2) != X3 | ~distinct(X0,X2) | distinct(X0,X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f899,f328])).
% 5.10/1.11 tff(f899,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (distinct(X0,rev(X0,rev(X0,X3))) | ~distinct(X0,X2) | insert(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f390,f823])).
% 5.10/1.11 tff(f1264,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (X3 != X4 | ~distinct(X0,X2) | distinct(X0,X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1261,f328])).
% 5.10/1.11 tff(f1261,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool),X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | ~distinct(X0,X2) | distinct(X0,X4) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f985,f823])).
% 5.10/1.11 tff(f985,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (dropWhile(X0,X1,X2) != X3 | ~distinct(X0,X2) | distinct(X0,X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f898,f328])).
% 5.10/1.11 tff(f898,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,rev(X0,rev(X0,X3))) | ~distinct(X0,X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f391,f823])).
% 5.10/1.11 tff(f1258,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1252,f326])).
% 5.10/1.11 tff(f1252,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),rev(X0,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1102,f631])).
% 5.10/1.11 tff(f1257,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),X3) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1251,f328])).
% 5.10/1.11 tff(f1251,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),rev(X0,rev(X0,X3))) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1102,f823])).
% 5.10/1.11 tff(f1250,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1102,f1139])).
% 5.10/1.11 tff(f1255,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1248,f326])).
% 5.10/1.11 tff(f1248,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,nil(X0)),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1102,f631])).
% 5.10/1.11 tff(f1254,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,X2,nil(X0),takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1247,f328])).
% 5.10/1.11 tff(f1247,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,nil(X0),takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1102,f823])).
% 5.10/1.11 tff(f1246,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X2,nil(X0),takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1102,f1144])).
% 5.10/1.11 tff(f1102,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),X2,nil(X0),takeWhile(X0,X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f607,f376])).
% 5.10/1.11 tff(f1244,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(list(X0))] : (nil(X0) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1242,f326])).
% 5.10/1.11 tff(f1242,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(list(X0))] : (rev(X0,nil(X0)) = last(list(X0),X1) | nil(list(X0)) = X1 | nil(X0) != hd(list(X0),rev(list(X0),X1))) )),
% 5.10/1.11 inference(superposition,[],[f343,f631])).
% 5.10/1.11 tff(f1241,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X2)) = last(list(X0),X1) | nil(list(X0)) = X1 | hd(list(X0),rev(list(X0),X1)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f343,f823])).
% 5.10/1.11 tff(f1243,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,X2) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1239,f328])).
% 5.10/1.11 tff(f1239,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,rev(X0,X2))) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f343,f823])).
% 5.10/1.11 tff(f1237,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f343,f641])).
% 5.10/1.11 tff(f1236,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X2)) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f343,f641])).
% 5.10/1.11 tff(f1234,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,X1)) = hd(X0,X2) | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f343,f823])).
% 5.10/1.11 tff(f343,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X1)) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f213])).
% 5.10/1.11 tff(f213,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = hd(X0,rev(X0,X1)) | nil(X0) = X1)),
% 5.10/1.11 inference(ennf_transformation,[],[f125])).
% 5.10/1.11 tff(f125,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => last(X0,X1) = hd(X0,rev(X0,X1)))),
% 5.10/1.11 inference(rectify,[],[f97])).
% 5.10/1.11 tff(f97,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : (nil(X0) != X19 => last(X0,X19) = hd(X0,rev(X0,X19)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_hd__rev)).
% 5.10/1.11 tff(f1231,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1225,f326])).
% 5.10/1.11 tff(f1225,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),rev(X0,nil(X0)),X2) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1101,f631])).
% 5.10/1.11 tff(f1230,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),X3,X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1224,f328])).
% 5.10/1.11 tff(f1224,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),rev(X0,rev(X0,X3)),X2) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1101,f823])).
% 5.10/1.11 tff(f1223,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),nil(X0),X2) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1101,f1139])).
% 5.10/1.11 tff(f1228,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1221,f326])).
% 5.10/1.11 tff(f1221,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),rev(X0,nil(X0)),takeWhile(X0,X1,X2),X2) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1101,f631])).
% 5.10/1.11 tff(f1227,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),X3,takeWhile(X0,X1,X2),X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1220,f328])).
% 5.10/1.11 tff(f1220,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),rev(X0,rev(X0,X3)),takeWhile(X0,X1,X2),X2) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1101,f823])).
% 5.10/1.11 tff(f1219,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),takeWhile(X0,X1,X2),X2) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1101,f1144])).
% 5.10/1.11 tff(f1101,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),X2)) )),
% 5.10/1.11 inference(superposition,[],[f604,f376])).
% 5.10/1.11 tff(f1217,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1211,f326])).
% 5.10/1.11 tff(f1211,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),rev(X0,nil(X0)),nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1100,f631])).
% 5.10/1.11 tff(f1216,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),X3,nil(X0)) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1210,f328])).
% 5.10/1.11 tff(f1210,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),rev(X0,rev(X0,X3)),nil(X0)) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1100,f823])).
% 5.10/1.11 tff(f1209,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),nil(X0),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1100,f1139])).
% 5.10/1.11 tff(f1214,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1207,f326])).
% 5.10/1.11 tff(f1207,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,rev(X0,nil(X0)),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1100,f631])).
% 5.10/1.11 tff(f1213,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,X3,takeWhile(X0,X1,X2),nil(X0)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1206,f328])).
% 5.10/1.11 tff(f1206,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),takeWhile(X0,X1,X2),nil(X0)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1100,f823])).
% 5.10/1.11 tff(f1205,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,nil(X0),takeWhile(X0,X1,X2),nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1100,f1144])).
% 5.10/1.11 tff(f1100,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X2,dropWhile(X0,X1,X2),takeWhile(X0,X1,X2),nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f599,f376])).
% 5.10/1.11 tff(f1203,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1197,f326])).
% 5.10/1.11 tff(f1197,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,rev(X0,nil(X0))) | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1099,f631])).
% 5.10/1.11 tff(f1202,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,X3) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1196,f328])).
% 5.10/1.11 tff(f1196,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,rev(X0,rev(X0,X3))) | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1099,f823])).
% 5.10/1.11 tff(f1195,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1099,f1139])).
% 5.10/1.11 tff(f1200,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1193,f326])).
% 5.10/1.11 tff(f1193,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,nil(X0)),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1099,f631])).
% 5.10/1.11 tff(f1199,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,X3,nil(X0),X2,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1192,f328])).
% 5.10/1.11 tff(f1192,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,rev(X0,rev(X0,X3)),nil(X0),X2,takeWhile(X0,X1,X2)) | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1099,f823])).
% 5.10/1.11 tff(f1191,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,nil(X0),nil(X0),X2,takeWhile(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1099,f1144])).
% 5.10/1.11 tff(f1099,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (sP0(X0,dropWhile(X0,X1,X2),nil(X0),X2,takeWhile(X0,X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f596,f376])).
% 5.10/1.11 tff(f1189,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~distinct(X0,X3) | distinct(X0,X1) | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1186,f328])).
% 5.10/1.11 tff(f1186,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X3))) | distinct(X0,X1) | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1167,f823])).
% 5.10/1.11 tff(f1188,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,X3,X2)) | distinct(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1183,f328])).
% 5.10/1.11 tff(f1183,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~distinct(X0,append(X0,X3,rev(X0,rev(X0,X2)))) | distinct(X0,X3) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1167,f823])).
% 5.10/1.11 tff(f1167,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~distinct(X0,append(X0,X1,insert(X0,X2,nil(X0)))) | distinct(X0,X1)) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f1163,f595])).
% 5.10/1.11 tff(f1163,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (distinct(X0,X1) | ~distinct(X0,append(X0,X1,insert(X0,X2,nil(X0)))) | nil(X0) = append(X0,X1,insert(X0,X2,nil(X0)))) )),
% 5.10/1.11 inference(superposition,[],[f346,f1049])).
% 5.10/1.11 tff(f1181,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),nil(X0)) = X2 | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f376,f1144])).
% 5.10/1.11 tff(f1179,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1144,f823])).
% 5.10/1.11 tff(f1144,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = dropWhile(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f416,f376])).
% 5.10/1.11 tff(f1177,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f376,f1139])).
% 5.10/1.11 tff(f1175,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X3)) | nil(X0) != X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1139,f823])).
% 5.10/1.11 tff(f1139,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = takeWhile(X0,X1,X2) | nil(X0) != X2) )),
% 5.10/1.11 inference(superposition,[],[f415,f376])).
% 5.10/1.11 tff(f1174,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,X0) | cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) != X0) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1171,f328])).
% 5.10/1.11 tff(f1171,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) | cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) != X0) )),
% 5.10/1.11 inference(superposition,[],[f1154,f823])).
% 5.10/1.11 tff(f1173,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,X0)) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1169,f328])).
% 5.10/1.11 tff(f1169,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0)))) | cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) )),
% 5.10/1.11 inference(superposition,[],[f1154,f823])).
% 5.10/1.11 tff(f1166,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != butlast(X0,append(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1162,f326])).
% 5.10/1.11 tff(f1162,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != butlast(X0,append(X0,X1,insert(X0,X2,nil(X0))))) )),
% 5.10/1.11 inference(superposition,[],[f1049,f631])).
% 5.10/1.11 tff(f1161,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | butlast(X0,append(X0,X1,insert(X0,X2,nil(X0)))) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1049,f823])).
% 5.10/1.11 tff(f1165,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,X3) = X1 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1159,f328])).
% 5.10/1.11 tff(f1159,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,rev(X0,rev(X0,X3))) = X1 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1049,f823])).
% 5.10/1.11 tff(f1164,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (butlast(X0,append(X0,X3,X2)) = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1156,f328])).
% 5.10/1.11 tff(f1156,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (butlast(X0,append(X0,X3,rev(X0,rev(X0,X2)))) = X3 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1049,f823])).
% 5.10/1.11 tff(f1049,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,append(X0,X2,insert(X0,X1,nil(X0)))) = X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f375,f335])).
% 5.10/1.11 tff(f1155,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (butlast(X0,append(X0,X3,insert(X0,X2,nil(X0)))) = X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f527,f335])).
% 5.10/1.11 tff(f1151,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | X1 = X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f481,f823])).
% 5.10/1.11 tff(f1150,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != cons(X0,X2,X3) | X1 = X2) )),
% 5.10/1.11 inference(superposition,[],[f481,f335])).
% 5.10/1.11 tff(f1148,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : X0,X5 : list(X0)] : (cons(X0,X4,X5) != rev(X0,rev(X0,X3)) | X1 = X4 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f481,f823])).
% 5.10/1.11 tff(f481,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : X0] : (cons(X0,X2,X1) != cons(X0,X4,X3) | X2 = X4) )),
% 5.10/1.11 inference(cnf_transformation,[],[f313])).
% 5.10/1.11 tff(f1145,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f416,f823])).
% 5.10/1.11 tff(f416,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f280])).
% 5.10/1.11 tff(f280,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) = append(X0,X2,X1) | nil(X0) != X1 | nil(X0) != X2) & ((nil(X0) = X1 & nil(X0) = X2) | nil(X0) != append(X0,X2,X1)))),
% 5.10/1.11 inference(flattening,[],[f279])).
% 5.10/1.11 tff(f279,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) = append(X0,X2,X1) | (nil(X0) != X1 | nil(X0) != X2)) & ((nil(X0) = X1 & nil(X0) = X2) | nil(X0) != append(X0,X2,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f174])).
% 5.10/1.11 tff(f174,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (nil(X0) = append(X0,X2,X1) <=> (nil(X0) = X1 & nil(X0) = X2))),
% 5.10/1.11 inference(rectify,[],[f49])).
% 5.10/1.11 tff(f49,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (nil(X0) = append(X0,X11,X31) <=> (nil(X0) = X31 & nil(X0) = X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_Nil__is__append__conv)).
% 5.10/1.11 tff(f1140,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f415,f823])).
% 5.10/1.11 tff(f415,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != append(X0,X2,X1) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f280])).
% 5.10/1.11 tff(f1061,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | X1 != X2 | distinct(X0,X2)) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f1058,f324])).
% 5.10/1.11 tff(f1058,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,nil(X0)) | distinct(X0,X2) | X1 != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f824,f583])).
% 5.10/1.11 tff(f1135,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | distinct(X0,X1) | ~distinct(X0,X3) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1132,f328])).
% 5.10/1.11 tff(f1132,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | distinct(X0,X1) | ~distinct(X0,X3) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1024,f823])).
% 5.10/1.11 tff(f1024,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | distinct(X0,X1) | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f950,f328])).
% 5.10/1.11 tff(f950,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X2))) | distinct(X0,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f355,f823])).
% 5.10/1.11 tff(f1128,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | ~distinct(X0,X1) | distinct(X0,X3) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1125,f328])).
% 5.10/1.11 tff(f1125,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | ~distinct(X0,X1) | distinct(X0,X3) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1023,f823])).
% 5.10/1.11 tff(f1023,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rotate1(X0,X1) != X2 | ~distinct(X0,X1) | distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f949,f328])).
% 5.10/1.11 tff(f949,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f356,f823])).
% 5.10/1.11 tff(f1121,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | ~distinct(X0,X1) | distinct(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1117,f328])).
% 5.10/1.11 tff(f1117,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | ~distinct(X0,X1) | distinct(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1019,f823])).
% 5.10/1.11 tff(f1115,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | ~distinct(X0,X1) | distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1019,f641])).
% 5.10/1.11 tff(f1114,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | ~distinct(X0,X1) | distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1019,f641])).
% 5.10/1.11 tff(f1112,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | ~distinct(X0,rev(X0,X1)) | distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1019,f823])).
% 5.10/1.11 tff(f1120,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,X2) | nil(X0) != X1) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f1110,f324])).
% 5.10/1.11 tff(f1110,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | ~distinct(X0,nil(X0)) | distinct(X0,X2) | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f1019,f631])).
% 5.10/1.11 tff(f1019,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | ~distinct(X0,X1) | distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f936,f328])).
% 5.10/1.11 tff(f936,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f358,f823])).
% 5.10/1.11 tff(f1109,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X1,X2))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1090,f326])).
% 5.10/1.11 tff(f1090,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (rev(X0,nil(X0)) = X2 | nil(X0) != append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f376,f631])).
% 5.10/1.11 tff(f1089,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (rev(X0,rev(X0,X3)) = X2 | append(X0,takeWhile(X0,X1,X2),dropWhile(X0,X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f376,f823])).
% 5.10/1.11 tff(f1108,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),nil(X0)) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1088,f326])).
% 5.10/1.11 tff(f1088,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),rev(X0,nil(X0))) = X2 | nil(X0) != dropWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f376,f631])).
% 5.10/1.11 tff(f1107,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),X3) = X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1087,f328])).
% 5.10/1.11 tff(f1087,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,takeWhile(X0,X1,X2),rev(X0,rev(X0,X3))) = X2 | dropWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f376,f823])).
% 5.10/1.11 tff(f1105,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,nil(X0),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1085,f326])).
% 5.10/1.11 tff(f1085,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (append(X0,rev(X0,nil(X0)),dropWhile(X0,X1,X2)) = X2 | nil(X0) != takeWhile(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f376,f631])).
% 5.10/1.11 tff(f1104,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,X3,dropWhile(X0,X1,X2)) = X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1084,f328])).
% 5.10/1.11 tff(f1084,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : fun(X0,bool)] : (append(X0,rev(X0,rev(X0,X3)),dropWhile(X0,X1,X2)) = X2 | takeWhile(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f376,f823])).
% 5.10/1.11 tff(f376,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(X0,bool),X1 : list(X0)] : (append(X0,takeWhile(X0,X2,X1),dropWhile(X0,X2,X1)) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f149])).
% 5.10/1.11 tff(f149,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : fun(X0,bool)] : append(X0,takeWhile(X0,X2,X1),dropWhile(X0,X2,X1)) = X1),
% 5.10/1.11 inference(rectify,[],[f96])).
% 5.10/1.11 tff(f96,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0),X25 : fun(X0,bool)] : append(X0,takeWhile(X0,X25,X11),dropWhile(X0,X25,X11)) = X11),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_takeWhile__dropWhile__id)).
% 5.10/1.11 tff(f1082,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | distinct(X0,X1) | ~distinct(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1079,f328])).
% 5.10/1.11 tff(f1079,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | distinct(X0,X1) | ~distinct(X0,X3) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f1018,f823])).
% 5.10/1.11 tff(f1077,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | distinct(X0,X1) | ~distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1018,f641])).
% 5.10/1.11 tff(f1076,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | distinct(X0,X1) | ~distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1018,f641])).
% 5.10/1.11 tff(f1074,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | distinct(X0,rev(X0,X1)) | ~distinct(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f1018,f823])).
% 5.10/1.11 tff(f1018,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != X2 | distinct(X0,X1) | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f935,f328])).
% 5.10/1.11 tff(f935,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X2))) | distinct(X0,X1) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f357,f823])).
% 5.10/1.11 tff(f1069,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (rev(X0,rev(X0,X3)) != X4 | hd(X0,X4) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f1003,f823])).
% 5.10/1.11 tff(f1068,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | hd(X0,X2) = X1) )),
% 5.10/1.11 inference(superposition,[],[f1003,f335])).
% 5.10/1.11 tff(f1003,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | hd(X0,X3) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f920,f328])).
% 5.10/1.11 tff(f920,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (hd(X0,rev(X0,rev(X0,X3))) = X1 | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f372,f823])).
% 5.10/1.11 tff(f858,plain,(
% 5.10/1.11 ( ! [X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X1 != X3 | X2 = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f823])).
% 5.10/1.11 tff(f825,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | ~distinct(X0,X1) | distinct(X0,rev(X0,X2))) )),
% 5.10/1.11 inference(superposition,[],[f358,f641])).
% 5.10/1.11 tff(f1051,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | distinct(X0,X1) | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(resolution,[],[f824,f358])).
% 5.10/1.11 tff(f1064,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f1063,f324])).
% 5.10/1.11 tff(f1063,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,nil(X0)) | distinct(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1060,f326])).
% 5.10/1.11 tff(f1060,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,nil(X0))) | distinct(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f824,f631])).
% 5.10/1.11 tff(f1062,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,X2) | distinct(X0,X3) | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1059,f328])).
% 5.10/1.11 tff(f1059,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X2))) | distinct(X0,X3) | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f824,f823])).
% 5.10/1.11 tff(f1057,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,X2)) | distinct(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f824,f641])).
% 5.10/1.11 tff(f1056,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,X2)) | distinct(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f824,f641])).
% 5.10/1.11 tff(f1055,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X1) | distinct(X0,X2) | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f824,f328])).
% 5.10/1.11 tff(f1054,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (~distinct(X0,X2) | distinct(X0,X3) | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f824,f823])).
% 5.10/1.11 tff(f1050,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X1) | X1 != X2 | nil(X0) != X2) )),
% 5.10/1.11 inference(resolution,[],[f824,f787])).
% 5.10/1.11 tff(f824,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,X2)) | distinct(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f357,f641])).
% 5.10/1.11 tff(f990,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f903,f328])).
% 5.10/1.11 tff(f903,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f568,f823])).
% 5.10/1.11 tff(f989,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f902,f328])).
% 5.10/1.11 tff(f902,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f567,f823])).
% 5.10/1.11 tff(f1036,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | ~null(X0,X2)) )),
% 5.10/1.11 inference(superposition,[],[f1002,f335])).
% 5.10/1.11 tff(f1002,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X3 | ~null(X0,X3)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f917,f328])).
% 5.10/1.11 tff(f917,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (~null(X0,rev(X0,rev(X0,X3))) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f367,f823])).
% 5.10/1.11 tff(f968,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),fun(list(X0),list(X0)))),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | list_rec(list(X0),X1,X2,X3,nil(X1)) != X4) )),
% 5.10/1.11 inference(superposition,[],[f428,f823])).
% 5.10/1.11 tff(f967,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0))),X4 : list(X0)] : (rev(X0,rev(X0,X4)) = X2 | list_case(list(X0),X1,X2,X3,nil(X1)) != X4) )),
% 5.10/1.11 inference(superposition,[],[f427,f823])).
% 5.10/1.11 tff(f966,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(list(X0))] : (rev(X0,rev(X0,X3)) = X2 | last(list(X0),append(list(X0),X1,insert(list(X0),X2,nil(list(X0))))) != X3) )),
% 5.10/1.11 inference(superposition,[],[f584,f823])).
% 5.10/1.11 tff(f965,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | last(list(X0),insert(list(X0),X1,nil(list(X0)))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f566,f823])).
% 5.10/1.11 tff(f1035,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(list(X0),insert(list(X0),X1,nil(list(X0)))) != X2 | rev(X0,rev(X0,X2)) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f964,f335])).
% 5.10/1.11 tff(f964,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | last(list(X0),cons(list(X0),X1,nil(list(X0)))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f498,f823])).
% 5.10/1.11 tff(f963,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | hd(list(X0),insert(list(X0),X1,nil(list(X0)))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f571,f823])).
% 5.10/1.11 tff(f962,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) = X1 | hd(list(X0),cons(list(X0),X1,X2)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f372,f823])).
% 5.10/1.11 tff(f961,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1)),X3 : list(X1)] : (nil(X1) = rev(X1,rev(X1,X3)) | maps(X0,X1,X2,nil(X0)) != X3) )),
% 5.10/1.11 inference(superposition,[],[f373,f823])).
% 5.10/1.11 tff(f1034,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,X1))) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f960,f328])).
% 5.10/1.11 tff(f960,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))))) | insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)) != X1) )),
% 5.10/1.11 inference(superposition,[],[f575,f823])).
% 5.10/1.11 tff(f1033,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,X1) | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f959,f328])).
% 5.10/1.11 tff(f959,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1))) | cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f575,f823])).
% 5.10/1.11 tff(f1030,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,X1)) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f957,f328])).
% 5.10/1.11 tff(f957,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt,X1 : list(arrow_411405190le_alt)] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X1)))) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt))) != X1) )),
% 5.10/1.11 inference(superposition,[],[f575,f823])).
% 5.10/1.11 tff(f953,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X2)) | takeWhile(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f334,f823])).
% 5.10/1.11 tff(f952,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | splice(X0,nil(X0),X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f330,f823])).
% 5.10/1.11 tff(f951,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | splice(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f329,f823])).
% 5.10/1.11 tff(f948,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | rotate1(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f361,f823])).
% 5.10/1.11 tff(f946,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | rev(X0,rev(X0,X1)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f328,f823])).
% 5.10/1.11 tff(f943,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = rev(X0,rev(X0,X2)) | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f823])).
% 5.10/1.11 tff(f942,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = rev(X0,rev(X0,X2)) | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f823])).
% 5.10/1.11 tff(f941,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) != X3 | rev(X0,X3) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f590,f823])).
% 5.10/1.11 tff(f940,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,rev(X0,X2)) | nil(X0) != X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f583,f823])).
% 5.10/1.11 tff(f939,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != rev(X0,rev(X0,X2)) | X1 = X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f823])).
% 5.10/1.11 tff(f938,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != rev(X0,rev(X0,X2)) | X1 = X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f823])).
% 5.10/1.11 tff(f937,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X2)) | nil(X0) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f363,f823])).
% 5.10/1.11 tff(f1016,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) != X2 | distinct(X0,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f1015,f335])).
% 5.10/1.11 tff(f1015,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,X2) | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f933,f328])).
% 5.10/1.11 tff(f933,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,rev(X0,rev(X0,X2))) | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f327,f823])).
% 5.10/1.11 tff(f930,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (insert(X0,X1,nil(X0)) = rev(X0,rev(X0,X2)) | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f335,f823])).
% 5.10/1.11 tff(f1007,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,append(X0,X2,X4),X4,X3,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f924,f328])).
% 5.10/1.11 tff(f924,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP2(X0,append(X0,X2,X4),X4,rev(X0,rev(X0,X3)),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f538,f823])).
% 5.10/1.11 tff(f1005,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,append(X0,X2,X4),X4,X3,X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f922,f328])).
% 5.10/1.11 tff(f922,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0,X4 : list(X0)] : (sP1(X0,append(X0,X2,X4),X4,rev(X0,rev(X0,X3)),X1) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f534,f823])).
% 5.10/1.11 tff(f919,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X3)) | cons(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f370,f823])).
% 5.10/1.11 tff(f1001,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0),X4 : list(X0)] : (~distinct(X0,X4) | distinct(X0,X3) | ~linorder(X1) | linorder_sort_key(X0,X1,X2,X3) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f916,f328])).
% 5.10/1.11 tff(f916,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0),X4 : list(X0)] : (~distinct(X0,rev(X0,rev(X0,X4))) | distinct(X0,X3) | ~linorder(X1) | linorder_sort_key(X0,X1,X2,X3) != X4) )),
% 5.10/1.11 inference(superposition,[],[f338,f823])).
% 5.10/1.11 tff(f1000,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0),X4 : list(X0)] : (distinct(X0,X4) | ~distinct(X0,X3) | ~linorder(X1) | linorder_sort_key(X0,X1,X2,X3) != X4) )),
% 5.10/1.11 inference(forward_demodulation,[],[f915,f328])).
% 5.10/1.11 tff(f915,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : list(X0),X4 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X4))) | ~distinct(X0,X3) | ~linorder(X1) | linorder_sort_key(X0,X1,X2,X3) != X4) )),
% 5.10/1.11 inference(superposition,[],[f339,f823])).
% 5.10/1.11 tff(f914,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X2)) | linorder_sort_key(X0,bool,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f576,f823])).
% 5.10/1.11 tff(f999,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != X5 | ~linorder(X1) | linorder_insort_key(X0,X1,X2,X3,X4) != X5) )),
% 5.10/1.11 inference(forward_demodulation,[],[f913,f328])).
% 5.10/1.11 tff(f913,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,X1),X3 : X0,X4 : list(X0),X5 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X5)) | ~linorder(X1) | linorder_insort_key(X0,X1,X2,X3,X4) != X5) )),
% 5.10/1.11 inference(superposition,[],[f340,f823])).
% 5.10/1.11 tff(f996,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,X3,X2) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f910,f328])).
% 5.10/1.11 tff(f910,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (nil(X0) != append(X0,X3,rev(X0,rev(X0,X2))) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f595,f823])).
% 5.10/1.11 tff(f995,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,append(X0,X3,X2)) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f909,f328])).
% 5.10/1.11 tff(f909,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : X0] : (last(X0,append(X0,X3,rev(X0,rev(X0,X2)))) = X1 | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f584,f823])).
% 5.10/1.11 tff(f994,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),X2,nil(X0),X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f908,f328])).
% 5.10/1.11 tff(f908,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,nil(X0),rev(X0,rev(X0,X2)),nil(X0),X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f574,f823])).
% 5.10/1.11 tff(f993,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),X2,nil(X0),X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f907,f328])).
% 5.10/1.11 tff(f907,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,nil(X0),rev(X0,rev(X0,X2)),nil(X0),X1) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f573,f823])).
% 5.10/1.11 tff(f904,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) != rev(X0,rev(X0,X2)) | insert(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f569,f823])).
% 5.10/1.11 tff(f897,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (nil(X0) = rev(X0,rev(X0,X2)) | dropWhile(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f333,f823])).
% 5.10/1.11 tff(f984,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,insert(X0,X1,nil(X0))) != X2 | nil(X0) = rev(X0,rev(X0,X2))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f896,f335])).
% 5.10/1.11 tff(f896,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,rev(X0,X2)) | butlast(X0,cons(X0,X1,nil(X0))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f499,f823])).
% 5.10/1.11 tff(f895,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = rev(X0,rev(X0,X2)) | butlast(X0,insert(X0,X1,nil(X0))) != X2) )),
% 5.10/1.11 inference(superposition,[],[f565,f823])).
% 5.10/1.11 tff(f983,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,X1) | nil(X0) = X1 | butlast(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f894,f328])).
% 5.10/1.11 tff(f894,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,rev(X0,X2))) | ~distinct(X0,X1) | nil(X0) = X1 | butlast(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f346,f823])).
% 5.10/1.11 tff(f893,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | append(X0,nil(X0),X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f332,f823])).
% 5.10/1.11 tff(f982,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (last(X0,X3) = X2 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f892,f328])).
% 5.10/1.11 tff(f892,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (last(X0,rev(X0,rev(X0,X3))) = X2 | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(superposition,[],[f584,f823])).
% 5.10/1.11 tff(f891,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,rev(X0,X3)) | append(X0,X1,insert(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(superposition,[],[f595,f823])).
% 5.10/1.11 tff(f977,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,X3,X2,cons(X0,X4,X1),X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f886,f328])).
% 5.10/1.11 tff(f886,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP2(X0,rev(X0,rev(X0,X3)),X2,cons(X0,X4,X1),X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f538,f823])).
% 5.10/1.11 tff(f976,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,X3,X2,cons(X0,X4,X1),X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f885,f328])).
% 5.10/1.11 tff(f885,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : X0] : (sP1(X0,rev(X0,rev(X0,X3)),X2,cons(X0,X4,X1),X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f534,f823])).
% 5.10/1.11 tff(f975,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,X3) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f884,f328])).
% 5.10/1.11 tff(f884,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X4,append(X0,X2,X4),X1,rev(X0,rev(X0,X3))) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f532,f823])).
% 5.10/1.11 tff(f974,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,X3,X4,append(X0,X4,X1)) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f883,f328])).
% 5.10/1.11 tff(f883,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X2,rev(X0,rev(X0,X3)),X4,append(X0,X4,X1)) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f532,f823])).
% 5.10/1.11 tff(f973,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,X3,X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f882,f328])).
% 5.10/1.11 tff(f882,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,append(X0,X2,X4),X4,rev(X0,rev(X0,X3)),X1) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f530,f823])).
% 5.10/1.11 tff(f972,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,X3,X2,append(X0,X4,X1),X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(forward_demodulation,[],[f881,f328])).
% 5.10/1.11 tff(f881,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0)] : (sP0(X0,rev(X0,rev(X0,X3)),X2,append(X0,X4,X1),X4) | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f530,f823])).
% 5.10/1.11 tff(f880,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) != X2 | nil(X0) = X1 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f409,f823])).
% 5.10/1.11 tff(f879,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X3)) != X1 | nil(X0) = X2 | append(X0,X1,X2) != X3) )),
% 5.10/1.11 inference(superposition,[],[f407,f823])).
% 5.10/1.11 tff(f878,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | append(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f331,f823])).
% 5.10/1.11 tff(f877,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f787,f823])).
% 5.10/1.11 tff(f875,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = X2 | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f823])).
% 5.10/1.11 tff(f874,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) = X2 | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f823])).
% 5.10/1.11 tff(f873,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (X2 != X3 | rev(X0,X1) = rev(X0,X3) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f590,f823])).
% 5.10/1.11 tff(f872,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != rev(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f583,f823])).
% 5.10/1.11 tff(f871,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != X2 | rev(X0,X1) = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f823])).
% 5.10/1.11 tff(f870,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X3) != X2 | rev(X0,X1) = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f823])).
% 5.10/1.11 tff(f869,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | nil(X0) = rev(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f363,f823])).
% 5.10/1.11 tff(f868,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,X2) | ~distinct(X0,rev(X0,X1)) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f358,f823])).
% 5.10/1.11 tff(f867,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,X2) | distinct(X0,rev(X0,X1)) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f357,f823])).
% 5.10/1.11 tff(f971,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | X1 != X2 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f864,f326])).
% 5.10/1.11 tff(f864,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | X1 != X2 | nil(X0) != rev(X0,rev(X0,X1))) )),
% 5.10/1.11 inference(superposition,[],[f823,f631])).
% 5.10/1.11 tff(f863,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X3 | X1 != X3 | rev(X0,rev(X0,X1)) != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f823])).
% 5.10/1.11 tff(f862,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f823,f583])).
% 5.10/1.11 tff(f861,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f641])).
% 5.10/1.11 tff(f860,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f641])).
% 5.10/1.11 tff(f970,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f857,f326])).
% 5.10/1.11 tff(f857,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,nil(X0))) = X2 | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f823,f631])).
% 5.10/1.11 tff(f969,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f856,f328])).
% 5.10/1.11 tff(f856,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,rev(X0,X2))) = X3 | X1 != X3 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f823])).
% 5.10/1.11 tff(f855,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = X2 | X1 != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f823,f583])).
% 5.10/1.11 tff(f854,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X3 | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f641])).
% 5.10/1.11 tff(f853,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X3 | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f641])).
% 5.10/1.11 tff(f851,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X3 | rev(X0,X1) != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f823,f823])).
% 5.10/1.11 tff(f849,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f823,f631])).
% 5.10/1.11 tff(f823,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f328,f641])).
% 5.10/1.11 tff(f845,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f787,f641])).
% 5.10/1.11 tff(f844,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | distinct(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f768,f641])).
% 5.10/1.11 tff(f843,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | rev(X0,X3) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f590,f641])).
% 5.10/1.11 tff(f842,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f583,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != rev(X0,X3) | X1 = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != rev(X0,X3) | X1 = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f363,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | ~distinct(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f358,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~distinct(X0,rev(X0,X2)) | distinct(X0,X1) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f357,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,rev(X0,X2)) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f328,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f631,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (distinct(X0,rev(X0,X2)) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f787,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X3 | rev(X0,X3) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f590,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | nil(X0) != X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f583,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != rev(X0,X3) | X1 = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) != rev(X0,X3) | X1 = X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | nil(X0) = X1 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f363,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f631,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f820,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = rev(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f641,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | X1 != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f641,f583])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f641,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f813,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) = rev(X0,X2) | X1 != X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f641,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = rev(X0,X2) | X1 != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f641,f583])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (rev(X0,X2) = rev(X0,X3) | X1 != X3 | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f641,f641])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f641,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = rev(X0,X2) | X1 != X2) )),
% 5.10/1.11 inference(superposition,[],[f590,f328])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rev(X0,X1)) | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f768,f328])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rotate1(X0,X1) | distinct(X0,X1)) )),
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,nil(X0)) | distinct(X0,X1) | nil(X0) != rotate1(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f726,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,rev(X0,nil(X0))) | distinct(X0,X1) | nil(X0) != rotate1(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f355,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rev(X0,X1) | distinct(X0,X1)) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f767,f324])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,nil(X0)) | distinct(X0,X1) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f716,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,rev(X0,nil(X0))) | distinct(X0,X1) | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f357,f631])).
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% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),fun(list(X0),list(X0))))] : (rev(X0,nil(X0)) = X2 | nil(X0) != list_rec(list(X0),X1,X2,X3,nil(X1))) )),
% 5.10/1.11 inference(superposition,[],[f428,f631])).
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% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X0),X3 : fun(X1,fun(list(X1),list(X0)))] : (rev(X0,nil(X0)) = X2 | nil(X0) != list_case(list(X0),X1,X2,X3,nil(X1))) )),
% 5.10/1.11 inference(superposition,[],[f427,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (nil(X0) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f743,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(list(X0))] : (rev(X0,nil(X0)) = X2 | nil(X0) != last(list(X0),append(list(X0),X1,insert(list(X0),X2,nil(list(X0)))))) )),
% 5.10/1.11 inference(superposition,[],[f584,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != last(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f742,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != last(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.11 inference(superposition,[],[f566,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != last(list(X0),insert(list(X0),X1,nil(list(X0)))) | nil(X0) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f781,f335])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != last(list(X0),cons(list(X0),X1,nil(list(X0))))) )),
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != last(list(X0),cons(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.11 inference(superposition,[],[f498,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != hd(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f740,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != hd(list(X0),insert(list(X0),X1,nil(list(X0))))) )),
% 5.10/1.11 inference(superposition,[],[f571,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != hd(list(X0),cons(list(X0),X1,X2))) )),
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(list(X0)),X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != hd(list(X0),cons(list(X0),X1,X2))) )),
% 5.10/1.11 inference(superposition,[],[f372,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | rev(X0,X2) = X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f590,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | X1 = X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f720,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != rev(X0,X2) | X1 = X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f421,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | X1 = X2 | nil(X0) != rev(X0,X1)) )),
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != rev(X0,X2) | X1 = X2 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(superposition,[],[f421,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,rev(X0,nil(X0)),nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f607,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,rev(X0,nil(X0))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f604,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,nil(X0)),X2,X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f599,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f668,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),rev(X0,nil(X0)),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f596,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,nil(X0),X2,cons(X0,X3,X1),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f667,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP2(X0,rev(X0,nil(X0)),X2,cons(X0,X3,X1),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f538,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,nil(X0),X2,cons(X0,X3,X1),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f666,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : list(X0)] : (sP1(X0,rev(X0,nil(X0)),X2,cons(X0,X3,X1),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f534,f631])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),X1,nil(X0)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f665,f326])).
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% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X3,append(X0,X2,X3),X1,rev(X0,nil(X0))) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f532,f631])).
% 5.10/1.11 tff(f751,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,nil(X0),X3,append(X0,X3,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f664,f326])).
% 5.10/1.11 tff(f664,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,X2,rev(X0,nil(X0)),X3,append(X0,X3,X1)) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f532,f631])).
% 5.10/1.11 tff(f750,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,nil(X0),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f663,f326])).
% 5.10/1.11 tff(f663,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X2,X3),X3,rev(X0,nil(X0)),X1) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f530,f631])).
% 5.10/1.11 tff(f749,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X2,append(X0,X3,X1),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f662,f326])).
% 5.10/1.11 tff(f662,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0)] : (sP0(X0,rev(X0,nil(X0)),X2,append(X0,X3,X1),X3) | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f530,f631])).
% 5.10/1.11 tff(f748,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(global_subsumption,[],[f337,f341,f342,f343,f344,f345,f347,f348,f492,f493,f351,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f376,f377,f378,f379,f381,f383,f385,f500,f387,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f416,f415,f516,f419,f418,f518,f423,f519,f425,f429,f430,f432,f434,f433,f436,f435,f520,f437,f442,f441,f440,f443,f445,f525,f526,f527,f528,f451,f452,f453,f456,f455,f454,f460,f459,f458,f457,f464,f463,f468,f467,f466,f465,f472,f471,f476,f475,f474,f473,f480,f479,f482,f481,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f641,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661])).
% 5.10/1.11 tff(f661,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X2 | nil(X0) = X1 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f409,f631])).
% 5.10/1.11 tff(f747,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(global_subsumption,[],[f337,f341,f342,f343,f344,f345,f347,f348,f492,f493,f351,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f376,f377,f378,f379,f381,f383,f385,f500,f387,f501,f389,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f401,f507,f508,f509,f510,f511,f411,f512,f413,f514,f416,f415,f516,f419,f418,f518,f423,f519,f425,f429,f430,f432,f434,f433,f436,f435,f520,f437,f442,f441,f440,f443,f445,f525,f526,f527,f528,f451,f452,f453,f456,f455,f454,f460,f459,f458,f457,f464,f463,f468,f467,f466,f465,f472,f471,f476,f475,f474,f473,f480,f479,f482,f481,f485,f484,f487,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f641,f642,f346,f631,f647,f655,f656,f658,f660])).
% 5.10/1.11 tff(f660,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,nil(X0)) != X1 | nil(X0) = X2 | nil(X0) != append(X0,X1,X2)) )),
% 5.10/1.11 inference(superposition,[],[f407,f631])).
% 5.10/1.11 tff(f658,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 != X2 | nil(X0) = rev(X0,X2) | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f590,f631])).
% 5.10/1.11 tff(f656,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | nil(X0) = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f421,f631])).
% 5.10/1.11 tff(f655,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | nil(X0) = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f421,f631])).
% 5.10/1.11 tff(f647,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (X1 = X2 | nil(X0) != X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f631,f631])).
% 5.10/1.11 tff(f631,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,nil(X0)) = X1 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f328,f583])).
% 5.10/1.11 tff(f346,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,butlast(X0,X1)) | ~distinct(X0,X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f217])).
% 5.10/1.11 tff(f217,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,butlast(X0,X1)) | ~distinct(X0,X1) | nil(X0) = X1)),
% 5.10/1.11 inference(flattening,[],[f216])).
% 5.10/1.11 tff(f216,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,butlast(X0,X1)) | ~distinct(X0,X1)) | nil(X0) = X1)),
% 5.10/1.11 inference(ennf_transformation,[],[f128])).
% 5.10/1.11 tff(f128,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => (distinct(X0,X1) => distinct(X0,butlast(X0,X1))))),
% 5.10/1.11 inference(rectify,[],[f32])).
% 5.10/1.11 tff(f32,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : (nil(X0) != X19 => (distinct(X0,X19) => distinct(X0,butlast(X0,X19))))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_distinct__butlast)).
% 5.10/1.11 tff(f642,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != X2 | rev(X0,X2) = X1 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f590,f583])).
% 5.10/1.11 tff(f590,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | rev(X0,X1) = X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f328])).
% 5.10/1.11 tff(f638,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 | distinct(X0,X1)) )),
% 5.10/1.11 inference(subsumption_resolution,[],[f632,f324])).
% 5.10/1.11 tff(f632,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,nil(X0)) | distinct(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f357,f583])).
% 5.10/1.11 tff(f636,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | X1 = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f421,f583])).
% 5.10/1.11 tff(f635,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) != rev(X0,X2) | X1 = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f421,f583])).
% 5.10/1.11 tff(f583,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rev(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(superposition,[],[f363,f328])).
% 5.10/1.11 tff(f574,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (sP2(X0,nil(X0),insert(X0,X1,nil(X0)),nil(X0),X1)) )),
% 5.10/1.11 inference(superposition,[],[f540,f335])).
% 5.10/1.11 tff(f573,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (sP1(X0,nil(X0),insert(X0,X1,nil(X0)),nil(X0),X1)) )),
% 5.10/1.11 inference(superposition,[],[f536,f335])).
% 5.10/1.11 tff(f595,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (nil(X0) != append(X0,X3,insert(X0,X2,nil(X0)))) )),
% 5.10/1.11 inference(forward_demodulation,[],[f528,f335])).
% 5.10/1.11 tff(f584,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,append(X0,X2,insert(X0,X1,nil(X0)))) = X1) )),
% 5.10/1.11 inference(forward_demodulation,[],[f374,f335])).
% 5.10/1.11 tff(f625,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,X1,X1,insert(X0,X2,nil(X0)),X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f623,f335])).
% 5.10/1.11 tff(f623,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,X1,X1,cons(X0,X2,nil(X0)),X2)) )),
% 5.10/1.11 inference(superposition,[],[f538,f332])).
% 5.10/1.11 tff(f627,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (sP2(X0,nil(X0),nil(X0),insert(X0,X1,nil(X0)),X1)) )),
% 5.10/1.11 inference(superposition,[],[f622,f335])).
% 5.10/1.11 tff(f622,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP2(X0,X1,nil(X0),cons(X0,X2,X1),X2)) )),
% 5.10/1.11 inference(superposition,[],[f538,f331])).
% 5.10/1.11 tff(f626,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,X2,X2,insert(X0,X1,nil(X0)),X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f624,f332])).
% 5.10/1.11 tff(f624,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP2(X0,append(X0,nil(X0),X2),X2,insert(X0,X1,nil(X0)),X1)) )),
% 5.10/1.11 inference(superposition,[],[f538,f335])).
% 5.10/1.11 tff(f538,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X1 : list(X2),X4 : X2,X5 : list(X2)] : (sP2(X2,append(X2,X5,X1),X1,cons(X2,X4,X5),X4)) )),
% 5.10/1.11 inference(equality_resolution,[],[f537])).
% 5.10/1.11 tff(f537,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X1 : list(X2),X4 : X2,X5 : list(X2)] : (sP2(X2,append(X2,X5,X1),X1,X3,X4) | cons(X2,X4,X5) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f478])).
% 5.10/1.11 tff(f478,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2,X5 : list(X2)] : (sP2(X2,X0,X1,X3,X4) | append(X2,X5,X1) != X0 | cons(X2,X4,X5) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f310])).
% 5.10/1.11 tff(f619,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,X1,X1,insert(X0,X2,nil(X0)),X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f617,f335])).
% 5.10/1.11 tff(f617,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,X1,X1,cons(X0,X2,nil(X0)),X2)) )),
% 5.10/1.11 inference(superposition,[],[f534,f332])).
% 5.10/1.11 tff(f621,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (sP1(X0,nil(X0),nil(X0),insert(X0,X1,nil(X0)),X1)) )),
% 5.10/1.11 inference(superposition,[],[f616,f335])).
% 5.10/1.11 tff(f616,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (sP1(X0,X1,nil(X0),cons(X0,X2,X1),X2)) )),
% 5.10/1.11 inference(superposition,[],[f534,f331])).
% 5.10/1.11 tff(f620,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,X2,X2,insert(X0,X1,nil(X0)),X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f618,f332])).
% 5.10/1.11 tff(f618,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (sP1(X0,append(X0,nil(X0),X2),X2,insert(X0,X1,nil(X0)),X1)) )),
% 5.10/1.11 inference(superposition,[],[f534,f335])).
% 5.10/1.11 tff(f534,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X1 : list(X2),X4 : X2,X5 : list(X2)] : (sP1(X2,append(X2,X5,X1),X1,cons(X2,X4,X5),X4)) )),
% 5.10/1.11 inference(equality_resolution,[],[f533])).
% 5.10/1.11 tff(f533,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X1 : list(X2),X4 : X2,X5 : list(X2)] : (sP1(X2,append(X2,X5,X1),X1,X3,X4) | cons(X2,X4,X5) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f470])).
% 5.10/1.11 tff(f470,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2,X5 : list(X2)] : (sP1(X2,X0,X1,X3,X4) | append(X2,X5,X1) != X0 | cons(X2,X4,X5) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f304])).
% 5.10/1.11 tff(f607,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,append(X0,X1,X2),nil(X0),X1)) )),
% 5.10/1.11 inference(superposition,[],[f532,f332])).
% 5.10/1.11 tff(f613,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,nil(X0),X1,nil(X0),X1)) )),
% 5.10/1.11 inference(superposition,[],[f604,f332])).
% 5.10/1.11 tff(f604,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,nil(X0),X1,X2,append(X0,X2,X1))) )),
% 5.10/1.11 inference(superposition,[],[f532,f331])).
% 5.10/1.11 tff(f599,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,X1,X2),X2,X1,nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f530,f332])).
% 5.10/1.11 tff(f532,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X5 : list(X2)] : (sP0(X2,X0,append(X2,X5,X0),X3,append(X2,X3,X5))) )),
% 5.10/1.11 inference(equality_resolution,[],[f531])).
% 5.10/1.11 tff(f531,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X4 : list(X2),X5 : list(X2)] : (sP0(X2,X0,append(X2,X5,X0),X3,X4) | append(X2,X3,X5) != X4) )),
% 5.10/1.11 inference(equality_resolution,[],[f461])).
% 5.10/1.11 tff(f461,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : list(X2),X5 : list(X2)] : (sP0(X2,X0,X1,X3,X4) | append(X2,X5,X0) != X1 | append(X2,X3,X5) != X4) )),
% 5.10/1.11 inference(cnf_transformation,[],[f298])).
% 5.10/1.11 tff(f298,plain,(
% 5.10/1.11 ! [X0 : list(X2),X1 : list(X2),X2 : $tType,X3 : list(X2),X4 : list(X2)] : ((sP0(X2,X0,X1,X3,X4) | ! [X5 : list(X2)] : ((append(X2,X5,X1) != X0 | append(X2,X4,X5) != X3) & (append(X2,X5,X0) != X1 | append(X2,X3,X5) != X4))) & (((append(X2,sK14(X2,X0,X1,X3,X4),X1) = X0 & append(X2,X4,sK14(X2,X0,X1,X3,X4)) = X3) | (append(X2,sK14(X2,X0,X1,X3,X4),X0) = X1 & append(X2,X3,sK14(X2,X0,X1,X3,X4)) = X4)) | ~sP0(X2,X0,X1,X3,X4)))),
% 5.10/1.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f296,f297])).
% 5.10/1.11 tff(f297,plain,(
% 5.10/1.11 ! [X2 : $tType,X0 : list(X2),X1 : list(X2),X3 : list(X2),X4 : list(X2)] : (? [X6 : list(X2)] : ((append(X2,X6,X1) = X0 & append(X2,X4,X6) = X3) | (append(X2,X6,X0) = X1 & append(X2,X3,X6) = X4)) => ((append(X2,sK14(X2,X0,X1,X3,X4),X1) = X0 & append(X2,X4,sK14(X2,X0,X1,X3,X4)) = X3) | (append(X2,sK14(X2,X0,X1,X3,X4),X0) = X1 & append(X2,X3,sK14(X2,X0,X1,X3,X4)) = X4)))),
% 5.10/1.11 introduced(choice_axiom,[])).
% 5.10/1.11 tff(f296,plain,(
% 5.10/1.11 ! [X0 : list(X2),X1 : list(X2),X2 : $tType,X3 : list(X2),X4 : list(X2)] : ((sP0(X2,X0,X1,X3,X4) | ! [X5 : list(X2)] : ((append(X2,X5,X1) != X0 | append(X2,X4,X5) != X3) & (append(X2,X5,X0) != X1 | append(X2,X3,X5) != X4))) & (? [X6 : list(X2)] : ((append(X2,X6,X1) = X0 & append(X2,X4,X6) = X3) | (append(X2,X6,X0) = X1 & append(X2,X3,X6) = X4)) | ~sP0(X2,X0,X1,X3,X4)))),
% 5.10/1.11 inference(rectify,[],[f295])).
% 5.10/1.11 tff(f295,plain,(
% 5.10/1.11 ! [X3 : list(X0),X1 : list(X0),X0 : $tType,X2 : list(X0),X4 : list(X0)] : ((sP0(X0,X3,X1,X2,X4) | ! [X5 : list(X0)] : ((append(X0,X5,X1) != X3 | append(X0,X4,X5) != X2) & (append(X0,X5,X3) != X1 | append(X0,X2,X5) != X4))) & (? [X5 : list(X0)] : ((append(X0,X5,X1) = X3 & append(X0,X4,X5) = X2) | (append(X0,X5,X3) = X1 & append(X0,X2,X5) = X4)) | ~sP0(X0,X3,X1,X2,X4)))),
% 5.10/1.11 inference(nnf_transformation,[],[f244])).
% 5.10/1.11 tff(f603,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (sP0(X0,X1,nil(X0),X1,nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f596,f332])).
% 5.10/1.11 tff(f596,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,nil(X0),append(X0,X2,X1),X2)) )),
% 5.10/1.11 inference(superposition,[],[f530,f331])).
% 5.10/1.11 tff(f600,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X1,X2,X2)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f597,f331])).
% 5.10/1.11 tff(f597,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X1,X1,append(X0,X2,nil(X0)),X2)) )),
% 5.10/1.11 inference(superposition,[],[f530,f332])).
% 5.10/1.11 tff(f601,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,X2,X2,X1,X1)) )),
% 5.10/1.11 inference(forward_demodulation,[],[f598,f332])).
% 5.10/1.11 tff(f598,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (sP0(X0,append(X0,nil(X0),X2),X2,X1,X1)) )),
% 5.10/1.11 inference(superposition,[],[f530,f331])).
% 5.10/1.11 tff(f530,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X1 : list(X2),X4 : list(X2),X5 : list(X2)] : (sP0(X2,append(X2,X5,X1),X1,append(X2,X4,X5),X4)) )),
% 5.10/1.11 inference(equality_resolution,[],[f529])).
% 5.10/1.11 tff(f529,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X1 : list(X2),X4 : list(X2),X5 : list(X2)] : (sP0(X2,append(X2,X5,X1),X1,X3,X4) | append(X2,X4,X5) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f462])).
% 5.10/1.11 tff(f462,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : list(X2),X5 : list(X2)] : (sP0(X2,X0,X1,X3,X4) | append(X2,X5,X1) != X0 | append(X2,X4,X5) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f298])).
% 5.10/1.11 tff(f594,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (last(X0,append(X0,X3,insert(X0,X2,nil(X0)))) = X2) )),
% 5.10/1.11 inference(forward_demodulation,[],[f526,f335])).
% 5.10/1.11 tff(f592,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) != X1 | rev(X0,X1) = X2) )),
% 5.10/1.11 inference(superposition,[],[f421,f328])).
% 5.10/1.11 tff(f421,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) != rev(X0,X2) | X1 = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f283])).
% 5.10/1.11 tff(f283,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((rev(X0,X1) = rev(X0,X2) | X1 != X2) & (X1 = X2 | rev(X0,X1) != rev(X0,X2)))),
% 5.10/1.11 inference(nnf_transformation,[],[f176])).
% 5.10/1.11 tff(f176,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (rev(X0,X1) = rev(X0,X2) <=> X1 = X2)),
% 5.10/1.11 inference(rectify,[],[f82])).
% 5.10/1.11 tff(f82,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (rev(X0,X11) = rev(X0,X31) <=> X11 = X31)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_rev__is__rev__conv)).
% 5.10/1.11 tff(f409,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) != X2 | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f276])).
% 5.10/1.11 tff(f276,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((append(X0,X1,X2) = X2 | nil(X0) != X1) & (nil(X0) = X1 | append(X0,X1,X2) != X2))),
% 5.10/1.11 inference(nnf_transformation,[],[f171])).
% 5.10/1.11 tff(f171,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (append(X0,X1,X2) = X2 <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f47])).
% 5.10/1.11 tff(f47,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0),X31 : list(X0)] : (append(X0,X11,X31) = X31 <=> nil(X0) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_self__append__conv2)).
% 5.10/1.11 tff(f407,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,X1) != X2 | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f275])).
% 5.10/1.11 tff(f275,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((append(X0,X2,X1) = X2 | nil(X0) != X1) & (nil(X0) = X1 | append(X0,X2,X1) != X2))),
% 5.10/1.11 inference(nnf_transformation,[],[f170])).
% 5.10/1.11 tff(f170,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (append(X0,X2,X1) = X2 <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f48])).
% 5.10/1.11 tff(f48,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (append(X0,X11,X31) = X11 <=> nil(X0) = X31)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_self__append__conv)).
% 5.10/1.11 tff(f363,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rev(X0,X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f265])).
% 5.10/1.11 tff(f265,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) = rev(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | nil(X0) != rev(X0,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f138])).
% 5.10/1.11 tff(f138,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rev(X0,X1) <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f85])).
% 5.10/1.11 tff(f85,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (nil(X0) = rev(X0,X11) <=> nil(X0) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_rev__is__Nil__conv)).
% 5.10/1.11 tff(f361,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != rotate1(X0,X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f264])).
% 5.10/1.11 tff(f264,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) = rotate1(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | nil(X0) != rotate1(X0,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f137])).
% 5.10/1.11 tff(f137,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rotate1(X0,X1) <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f76])).
% 5.10/1.11 tff(f76,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (nil(X0) = rotate1(X0,X11) <=> nil(X0) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_rotate1__is__Nil__conv)).
% 5.10/1.11 tff(f340,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,X0)] : (nil(X1) != linorder_insort_key(X1,X0,X4,X3,X2) | ~linorder(X0)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f210])).
% 5.10/1.11 tff(f210,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (! [X2 : list(X1),X3 : X1,X4 : fun(X1,X0)] : nil(X1) != linorder_insort_key(X1,X0,X4,X3,X2) | ~linorder(X0))),
% 5.10/1.11 inference(ennf_transformation,[],[f122])).
% 5.10/1.11 tff(f122,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : list(X1),X3 : X1,X4 : fun(X1,X0)] : nil(X1) != linorder_insort_key(X1,X0,X4,X3,X2))),
% 5.10/1.11 inference(rectify,[],[f29])).
% 5.10/1.11 tff(f29,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType] : (linorder(X1) => ! [X11 : list(X0),X10 : X0,X29 : fun(X0,X1)] : nil(X0) != linorder_insort_key(X0,X1,X29,X10,X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_insort__not__Nil)).
% 5.10/1.11 tff(f339,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : fun(X1,X0)] : (distinct(X1,linorder_sort_key(X1,X0,X3,X2)) | ~distinct(X1,X2) | ~linorder(X0)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f250])).
% 5.10/1.11 tff(f250,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (! [X2 : list(X1),X3 : fun(X1,X0)] : ((distinct(X1,linorder_sort_key(X1,X0,X3,X2)) | ~distinct(X1,X2)) & (distinct(X1,X2) | ~distinct(X1,linorder_sort_key(X1,X0,X3,X2)))) | ~linorder(X0))),
% 5.10/1.11 inference(nnf_transformation,[],[f209])).
% 5.10/1.11 tff(f209,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (! [X2 : list(X1),X3 : fun(X1,X0)] : (distinct(X1,linorder_sort_key(X1,X0,X3,X2)) <=> distinct(X1,X2)) | ~linorder(X0))),
% 5.10/1.11 inference(ennf_transformation,[],[f121])).
% 5.10/1.11 tff(f121,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : list(X1),X3 : fun(X1,X0)] : (distinct(X1,linorder_sort_key(X1,X0,X3,X2)) <=> distinct(X1,X2)))),
% 5.10/1.11 inference(rectify,[],[f52])).
% 5.10/1.11 tff(f52,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType] : (linorder(X1) => ! [X11 : list(X0),X29 : fun(X0,X1)] : (distinct(X0,linorder_sort_key(X0,X1,X29,X11)) <=> distinct(X0,X11)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_distinct__sort)).
% 5.10/1.11 tff(f338,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : fun(X1,X0)] : (~distinct(X1,linorder_sort_key(X1,X0,X3,X2)) | distinct(X1,X2) | ~linorder(X0)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f250])).
% 5.10/1.11 tff(f565,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (nil(X0) = butlast(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(superposition,[],[f499,f335])).
% 5.10/1.11 tff(f576,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : fun(X0,bool)] : (nil(X0) = linorder_sort_key(X0,bool,X1,nil(X0))) )),
% 5.10/1.11 inference(resolution,[],[f336,f321])).
% 5.10/1.11 tff(f572,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (~distinct(X0,cons(X0,X1,insert(X0,X1,nil(X0))))) )),
% 5.10/1.11 inference(superposition,[],[f521,f335])).
% 5.10/1.11 tff(f336,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X1,X0)] : (~linorder(X0) | nil(X1) = linorder_sort_key(X1,X0,X2,nil(X1))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f207])).
% 5.10/1.11 tff(f207,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (! [X2 : fun(X1,X0)] : nil(X1) = linorder_sort_key(X1,X0,X2,nil(X1)) | ~linorder(X0))),
% 5.10/1.11 inference(ennf_transformation,[],[f119])).
% 5.10/1.11 tff(f119,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : fun(X1,X0)] : nil(X1) = linorder_sort_key(X1,X0,X2,nil(X1)))),
% 5.10/1.11 inference(rectify,[],[f51])).
% 5.10/1.11 tff(f51,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType] : (linorder(X1) => ! [X29 : fun(X0,X1)] : nil(X0) = linorder_sort_key(X0,X1,X29,nil(X0)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_sort__key__simps_I1_J)).
% 5.10/1.11 tff(f575,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))))) )),
% 5.10/1.11 inference(superposition,[],[f318,f335])).
% 5.10/1.11 tff(f571,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (hd(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.11 inference(superposition,[],[f372,f335])).
% 5.10/1.11 tff(f569,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != insert(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f368,f335])).
% 5.10/1.11 tff(f566,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (last(X0,insert(X0,X1,nil(X0))) = X1) )),
% 5.10/1.11 inference(superposition,[],[f498,f335])).
% 5.10/1.11 tff(f568,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (~null(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(superposition,[],[f367,f335])).
% 5.10/1.11 tff(f567,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (distinct(X0,insert(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(superposition,[],[f327,f335])).
% 5.10/1.11 tff(f570,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (nil(X0) != insert(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(superposition,[],[f370,f335])).
% 5.10/1.11 tff(f499,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (nil(X0) = butlast(X0,cons(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f382])).
% 5.10/1.11 tff(f382,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (nil(X0) = butlast(X0,cons(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f221])).
% 5.10/1.11 tff(f540,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X0 : list(X2),X4 : X2] : (sP2(X2,X0,cons(X2,X4,X0),nil(X2),X4)) )),
% 5.10/1.11 inference(equality_resolution,[],[f539])).
% 5.10/1.11 tff(f539,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X4 : X2] : (sP2(X2,X0,cons(X2,X4,X0),X3,X4) | nil(X2) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f477])).
% 5.10/1.11 tff(f477,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (sP2(X2,X0,X1,X3,X4) | cons(X2,X4,X0) != X1 | nil(X2) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f310])).
% 5.10/1.11 tff(f536,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X0 : list(X2),X4 : X2] : (sP1(X2,X0,cons(X2,X4,X0),nil(X2),X4)) )),
% 5.10/1.11 inference(equality_resolution,[],[f535])).
% 5.10/1.11 tff(f535,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X4 : X2] : (sP1(X2,X0,cons(X2,X4,X0),X3,X4) | nil(X2) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f469])).
% 5.10/1.11 tff(f469,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : X2] : (sP1(X2,X0,X1,X3,X4) | cons(X2,X4,X0) != X1 | nil(X2) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f304])).
% 5.10/1.11 tff(f373,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,list(X1))] : (nil(X1) = maps(X0,X1,X2,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f146])).
% 5.10/1.11 tff(f146,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,list(X1))] : nil(X1) = maps(X0,X1,X2,nil(X0))),
% 5.10/1.11 inference(rectify,[],[f79])).
% 5.10/1.11 tff(f79,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType,X29 : fun(X1,list(X0))] : nil(X0) = maps(X1,X0,X29,nil(X1))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_maps__simps_I2_J)).
% 5.10/1.11 tff(f318,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f206])).
% 5.10/1.11 tff(f206,plain,(
% 5.10/1.11 ! [X0 : arrow_411405190le_alt] : ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(ennf_transformation,[],[f107])).
% 5.10/1.11 tff(f107,plain,(
% 5.10/1.11 ~? [X0 : arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(rectify,[],[f106])).
% 5.10/1.11 tff(f106,negated_conjecture,(
% 5.10/1.11 ~? [X42 : arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X42,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(negated_conjecture,[],[f105])).
% 5.10/1.11 tff(f105,conjecture,(
% 5.10/1.11 ? [X42 : arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,b,cons(arrow_411405190le_alt,X42,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 5.10/1.11 tff(f498,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (last(X0,cons(X0,X1,nil(X0))) = X1) )),
% 5.10/1.11 inference(equality_resolution,[],[f380])).
% 5.10/1.11 tff(f380,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = X1 | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f220])).
% 5.10/1.11 tff(f428,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),fun(X1,X1))),X3 : X1] : (list_rec(X1,X0,X3,X2,nil(X0)) = X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f180])).
% 5.10/1.11 tff(f180,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,fun(list(X0),fun(X1,X1))),X3 : X1] : list_rec(X1,X0,X3,X2,nil(X0)) = X3),
% 5.10/1.11 inference(rectify,[],[f22])).
% 5.10/1.11 tff(f22,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType,X23 : fun(X1,fun(list(X1),fun(X0,X0))),X24 : X0] : list_rec(X0,X1,X24,X23,nil(X1)) = X24),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_list_Orecs_I1_J)).
% 5.10/1.11 tff(f427,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : fun(X0,fun(list(X0),X1)),X3 : X1] : (list_case(X1,X0,X3,X2,nil(X0)) = X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f179])).
% 5.10/1.11 tff(f179,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X2 : fun(X0,fun(list(X0),X1)),X3 : X1] : list_case(X1,X0,X3,X2,nil(X0)) = X3),
% 5.10/1.11 inference(rectify,[],[f18])).
% 5.10/1.11 tff(f18,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType,X23 : fun(X1,fun(list(X1),X0)),X24 : X0] : list_case(X0,X1,X24,X23,nil(X1)) = X24),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_list_Osimps_I4_J)).
% 5.10/1.11 tff(f403,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (~equal_equal(list(X0),X2,X1) | X1 = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f273])).
% 5.10/1.11 tff(f273,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((equal_equal(list(X0),X2,X1) | X1 != X2) & (X1 = X2 | ~equal_equal(list(X0),X2,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f168])).
% 5.10/1.11 tff(f168,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (equal_equal(list(X0),X2,X1) <=> X1 = X2)),
% 5.10/1.11 inference(rectify,[],[f78])).
% 5.10/1.11 tff(f78,axiom,(
% 5.10/1.11 ! [X0 : $tType,X30 : list(X0),X28 : list(X0)] : (equal_equal(list(X0),X28,X30) <=> X28 = X30)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_equal__list__def)).
% 5.10/1.11 tff(f392,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,takeWhile(X0,X1,X2)) | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f227])).
% 5.10/1.11 tff(f227,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (distinct(X0,takeWhile(X0,X1,X2)) | ~distinct(X0,X2))),
% 5.10/1.11 inference(ennf_transformation,[],[f160])).
% 5.10/1.11 tff(f160,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (distinct(X0,X2) => distinct(X0,takeWhile(X0,X1,X2)))),
% 5.10/1.11 inference(rectify,[],[f61])).
% 5.10/1.11 tff(f61,axiom,(
% 5.10/1.11 ! [X0 : $tType,X25 : fun(X0,bool),X11 : list(X0)] : (distinct(X0,X11) => distinct(X0,takeWhile(X0,X25,X11)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_distinct__takeWhile)).
% 5.10/1.11 tff(f391,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(X0,bool)] : (distinct(X0,dropWhile(X0,X1,X2)) | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f226])).
% 5.10/1.11 tff(f226,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (distinct(X0,dropWhile(X0,X1,X2)) | ~distinct(X0,X2))),
% 5.10/1.11 inference(ennf_transformation,[],[f159])).
% 5.10/1.11 tff(f159,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(X0,bool),X2 : list(X0)] : (distinct(X0,X2) => distinct(X0,dropWhile(X0,X1,X2)))),
% 5.10/1.11 inference(rectify,[],[f93])).
% 5.10/1.11 tff(f93,axiom,(
% 5.10/1.11 ! [X0 : $tType,X25 : fun(X0,bool),X11 : list(X0)] : (distinct(X0,X11) => distinct(X0,dropWhile(X0,X25,X11)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_distinct__dropWhile)).
% 5.10/1.11 tff(f390,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (distinct(X0,insert(X0,X1,X2)) | ~distinct(X0,X2)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f225])).
% 5.10/1.11 tff(f225,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (distinct(X0,insert(X0,X1,X2)) | ~distinct(X0,X2))),
% 5.10/1.11 inference(ennf_transformation,[],[f158])).
% 5.10/1.11 tff(f158,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (distinct(X0,X2) => distinct(X0,insert(X0,X1,X2)))),
% 5.10/1.11 inference(rectify,[],[f15])).
% 5.10/1.11 tff(f15,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : (distinct(X0,X19) => distinct(X0,insert(X0,X6,X19)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_distinct__insert)).
% 5.10/1.11 tff(f360,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (equal_equal(list(X0),X1,nil(X0)) | ~null(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f263])).
% 5.10/1.11 tff(f263,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((equal_equal(list(X0),X1,nil(X0)) | ~null(X0,X1)) & (null(X0,X1) | ~equal_equal(list(X0),X1,nil(X0))))),
% 5.10/1.11 inference(nnf_transformation,[],[f136])).
% 5.10/1.11 tff(f136,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (equal_equal(list(X0),X1,nil(X0)) <=> null(X0,X1))),
% 5.10/1.11 inference(rectify,[],[f73])).
% 5.10/1.11 tff(f73,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (equal_equal(list(X0),X11,nil(X0)) <=> null(X0,X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_equal__Nil__null)).
% 5.10/1.11 tff(f359,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~equal_equal(list(X0),X1,nil(X0)) | null(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f263])).
% 5.10/1.11 tff(f334,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : fun(X0,bool)] : (nil(X0) = takeWhile(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f117])).
% 5.10/1.11 tff(f117,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(X0,bool)] : nil(X0) = takeWhile(X0,X1,nil(X0))),
% 5.10/1.11 inference(rectify,[],[f50])).
% 5.10/1.11 tff(f50,axiom,(
% 5.10/1.11 ! [X0 : $tType,X25 : fun(X0,bool)] : nil(X0) = takeWhile(X0,X25,nil(X0))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_takeWhile_Osimps_I1_J)).
% 5.10/1.11 tff(f333,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : fun(X0,bool)] : (nil(X0) = dropWhile(X0,X1,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f116])).
% 5.10/1.11 tff(f116,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(X0,bool)] : nil(X0) = dropWhile(X0,X1,nil(X0))),
% 5.10/1.11 inference(rectify,[],[f89])).
% 5.10/1.11 tff(f89,axiom,(
% 5.10/1.11 ! [X0 : $tType,X25 : fun(X0,bool)] : nil(X0) = dropWhile(X0,X25,nil(X0))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_dropWhile_Osimps_I1_J)).
% 5.10/1.11 tff(f431,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = rotate1(X0,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f183])).
% 5.10/1.11 tff(f183,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X2 : list(X1),X3 : X1] : (rotate1(X1,cons(X1,X3,X2)) = append(X1,X2,cons(X1,X3,nil(X1))) & nil(X0) = rotate1(X0,nil(X0)))),
% 5.10/1.11 inference(rectify,[],[f74])).
% 5.10/1.11 tff(f74,axiom,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X19 : list(X1),X6 : X1] : (rotate1(X1,cons(X1,X6,X19)) = append(X1,X19,cons(X1,X6,nil(X1))) & nil(X0) = rotate1(X0,nil(X0)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_rotate__simps)).
% 5.10/1.11 tff(f372,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (hd(X0,cons(X0,X2,X1)) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f145])).
% 5.10/1.11 tff(f145,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : hd(X0,cons(X0,X2,X1)) = X2),
% 5.10/1.11 inference(rectify,[],[f99])).
% 5.10/1.11 tff(f99,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X6 : X0] : hd(X0,cons(X0,X6,X19)) = X6),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_hd_Osimps)).
% 5.10/1.11 tff(f370,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != cons(X0,X2,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f143])).
% 5.10/1.11 tff(f143,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : nil(X0) != cons(X0,X2,X1)),
% 5.10/1.11 inference(rectify,[],[f6])).
% 5.10/1.11 tff(f6,axiom,(
% 5.10/1.11 ! [X0 : $tType,X13 : list(X0),X14 : X0] : nil(X0) != cons(X0,X14,X13)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_list_Osimps_I2_J)).
% 5.10/1.11 tff(f358,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rev(X0,X1)) | ~distinct(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f262])).
% 5.10/1.11 tff(f262,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,rev(X0,X1)) | ~distinct(X0,X1)) & (distinct(X0,X1) | ~distinct(X0,rev(X0,X1))))),
% 5.10/1.11 inference(nnf_transformation,[],[f135])).
% 5.10/1.11 tff(f135,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rev(X0,X1)) <=> distinct(X0,X1))),
% 5.10/1.11 inference(rectify,[],[f87])).
% 5.10/1.11 tff(f87,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (distinct(X0,rev(X0,X11)) <=> distinct(X0,X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_distinct__rev)).
% 5.10/1.11 tff(f553,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,X1) | distinct(X0,rev(X0,X1))) )),
% 5.10/1.11 inference(superposition,[],[f357,f328])).
% 5.10/1.11 tff(f357,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,rev(X0,X1)) | distinct(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f262])).
% 5.10/1.11 tff(f356,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rotate1(X0,X1)) | ~distinct(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f261])).
% 5.10/1.11 tff(f261,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((distinct(X0,rotate1(X0,X1)) | ~distinct(X0,X1)) & (distinct(X0,X1) | ~distinct(X0,rotate1(X0,X1))))),
% 5.10/1.11 inference(nnf_transformation,[],[f134])).
% 5.10/1.11 tff(f134,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (distinct(X0,rotate1(X0,X1)) <=> distinct(X0,X1))),
% 5.10/1.11 inference(rectify,[],[f77])).
% 5.10/1.11 tff(f77,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (distinct(X0,rotate1(X0,X11)) <=> distinct(X0,X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_distinct1__rotate)).
% 5.10/1.11 tff(f355,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~distinct(X0,rotate1(X0,X1)) | distinct(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f261])).
% 5.10/1.11 tff(f349,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (~null(X0,X1) | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f255])).
% 5.10/1.11 tff(f255,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((null(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | ~null(X0,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f131])).
% 5.10/1.11 tff(f131,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (null(X0,X1) <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f37])).
% 5.10/1.11 tff(f37,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (null(X0,X11) <=> nil(X0) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_List_Onull__def)).
% 5.10/1.11 tff(f332,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),X1) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f115])).
% 5.10/1.11 tff(f115,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : append(X0,nil(X0),X1) = X1),
% 5.10/1.11 inference(rectify,[],[f60])).
% 5.10/1.11 tff(f60,axiom,(
% 5.10/1.11 ! [X0 : $tType,X22 : list(X0)] : append(X0,nil(X0),X22) = X22),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_append__Nil)).
% 5.10/1.11 tff(f331,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,X1,nil(X0)) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f114])).
% 5.10/1.11 tff(f114,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : append(X0,X1,nil(X0)) = X1),
% 5.10/1.11 inference(rectify,[],[f59])).
% 5.10/1.11 tff(f59,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : append(X0,X19,nil(X0)) = X19),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_append__Nil2)).
% 5.10/1.11 tff(f330,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (splice(X0,nil(X0),X1) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f113])).
% 5.10/1.11 tff(f113,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : splice(X0,nil(X0),X1) = X1),
% 5.10/1.11 inference(rectify,[],[f17])).
% 5.10/1.11 tff(f17,axiom,(
% 5.10/1.11 ! [X0 : $tType,X22 : list(X0)] : splice(X0,nil(X0),X22) = X22),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_splice_Osimps_I1_J)).
% 5.10/1.11 tff(f329,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (splice(X0,X1,nil(X0)) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f112])).
% 5.10/1.11 tff(f112,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : splice(X0,X1,nil(X0)) = X1),
% 5.10/1.11 inference(rectify,[],[f16])).
% 5.10/1.11 tff(f16,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : splice(X0,X19,nil(X0)) = X19),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_splice__Nil2)).
% 5.10/1.11 tff(f328,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,rev(X0,X1)) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f111])).
% 5.10/1.11 tff(f111,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : rev(X0,rev(X0,X1)) = X1),
% 5.10/1.11 inference(rectify,[],[f95])).
% 5.10/1.11 tff(f95,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : rev(X0,rev(X0,X19)) = X19),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_rev__rev__ident)).
% 5.10/1.11 tff(f326,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = rev(X0,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f83])).
% 5.10/1.11 tff(f83,axiom,(
% 5.10/1.11 ! [X0 : $tType] : nil(X0) = rev(X0,nil(X0))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_rev_Osimps_I1_J)).
% 5.10/1.11 tff(f325,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = butlast(X0,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f27])).
% 5.10/1.11 tff(f27,axiom,(
% 5.10/1.11 ! [X0 : $tType] : nil(X0) = butlast(X0,nil(X0))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_butlast_Osimps_I1_J)).
% 5.10/1.11 tff(f368,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f141])).
% 5.10/1.11 tff(f141,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : cons(X0,X2,X1) != X1),
% 5.10/1.11 inference(rectify,[],[f11])).
% 5.10/1.11 tff(f11,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X6 : X0] : cons(X0,X6,X19) != X19),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_not__Cons__self2)).
% 5.10/1.11 tff(f367,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (~null(X0,cons(X0,X2,X1))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f140])).
% 5.10/1.11 tff(f140,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : ~null(X0,cons(X0,X2,X1))),
% 5.10/1.11 inference(rectify,[],[f69])).
% 5.10/1.11 tff(f69,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X6 : X0] : ~null(X0,cons(X0,X6,X19))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_null__rec_I1_J)).
% 5.10/1.11 tff(f506,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (equal_equal(list(X0),X2,X2)) )),
% 5.10/1.11 inference(equality_resolution,[],[f404])).
% 5.10/1.11 tff(f404,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (equal_equal(list(X0),X2,X1) | X1 != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f273])).
% 5.10/1.11 tff(f324,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (distinct(X0,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f2])).
% 5.10/1.11 tff(f2,axiom,(
% 5.10/1.11 ! [X0 : $tType] : distinct(X0,nil(X0))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_distinct_Osimps_I1_J)).
% 5.10/1.11 tff(f323,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (null(X0,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f108])).
% 5.10/1.11 tff(f108,plain,(
% 5.10/1.11 ! [X0 : $tType] : null(X0,nil(X0))),
% 5.10/1.11 inference(rectify,[],[f36])).
% 5.10/1.11 tff(f36,axiom,(
% 5.10/1.11 ! [X1 : $tType] : null(X1,nil(X1))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_null__rec_I2_J)).
% 5.10/1.11 tff(f319,plain,(
% 5.10/1.11 a != b),
% 5.10/1.11 inference(cnf_transformation,[],[f104])).
% 5.10/1.11 tff(f104,axiom,(
% 5.10/1.11 a != b),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 5.10/1.11 tff(f322,plain,(
% 5.10/1.11 pp(fTrue)),
% 5.10/1.11 inference(cnf_transformation,[],[f103])).
% 5.10/1.11 tff(f103,axiom,(
% 5.10/1.11 pp(fTrue)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_1_U)).
% 5.10/1.11 tff(f321,plain,(
% 5.10/1.11 linorder(bool)),
% 5.10/1.11 inference(cnf_transformation,[],[f101])).
% 5.10/1.11 tff(f101,axiom,(
% 5.10/1.11 linorder(bool)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Olinorder)).
% 5.10/1.11 tff(f320,plain,(
% 5.10/1.11 ~pp(fFalse)),
% 5.10/1.11 inference(cnf_transformation,[],[f102])).
% 5.10/1.11 tff(f102,axiom,(
% 5.10/1.11 ~pp(fFalse)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_1_1_U)).
% 5.10/1.11 tff(f491,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,cons(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(cnf_transformation,[],[f317])).
% 5.10/1.11 tff(f317,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,cons(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f204,f316])).
% 5.10/1.11 tff(f316,plain,(
% 5.10/1.11 ? [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt,X2 : arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))) => distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,cons(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 introduced(choice_axiom,[])).
% 5.10/1.11 tff(f204,plain,(
% 5.10/1.11 ? [X0 : arrow_411405190le_alt,X1 : arrow_411405190le_alt,X2 : arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(rectify,[],[f1])).
% 5.10/1.11 tff(f1,axiom,(
% 5.10/1.11 ? [X3 : arrow_411405190le_alt,X4 : arrow_411405190le_alt,X5 : arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X3,cons(arrow_411405190le_alt,X4,cons(arrow_411405190le_alt,X5,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_alt3)).
% 5.10/1.11 tff(f548,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0),X4 : list(X0),X5 : X0] : (cons(X0,X5,append(X0,X4,X1)) = append(X0,cons(X0,X5,X4),X1)) )),
% 5.10/1.11 inference(equality_resolution,[],[f547])).
% 5.10/1.11 tff(f547,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X3,X1) = cons(X0,X5,append(X0,X4,X1)) | cons(X0,X5,X4) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f490])).
% 5.10/1.11 tff(f490,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X3,X1) = cons(X0,X5,X2) | append(X0,X4,X1) != X2 | cons(X0,X5,X4) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f243])).
% 5.10/1.11 tff(f243,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0),X5 : X0] : (append(X0,X3,X1) = cons(X0,X5,X2) | append(X0,X4,X1) != X2 | cons(X0,X5,X4) != X3)),
% 5.10/1.11 inference(flattening,[],[f242])).
% 5.10/1.11 tff(f242,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0),X5 : X0] : ((append(X0,X3,X1) = cons(X0,X5,X2) | append(X0,X4,X1) != X2) | cons(X0,X5,X4) != X3)),
% 5.10/1.11 inference(ennf_transformation,[],[f203])).
% 5.10/1.11 tff(f203,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0),X5 : X0] : (cons(X0,X5,X4) = X3 => (append(X0,X4,X1) = X2 => append(X0,X3,X1) = cons(X0,X5,X2)))),
% 5.10/1.11 inference(rectify,[],[f57])).
% 5.10/1.11 tff(f57,axiom,(
% 5.10/1.11 ! [X0 : $tType,X33 : list(X0),X19 : list(X0),X22 : list(X0),X35 : list(X0),X6 : X0] : (cons(X0,X6,X35) = X22 => (append(X0,X35,X33) = X19 => cons(X0,X6,X19) = append(X0,X22,X33)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_Cons__eq__appendI)).
% 5.10/1.11 tff(f546,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X5,append(X0,X4,X1)) = append(X0,append(X0,X5,X4),X1)) )),
% 5.10/1.11 inference(equality_resolution,[],[f545])).
% 5.10/1.11 tff(f545,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X1) = append(X0,X5,append(X0,X4,X1)) | append(X0,X5,X4) != X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f489])).
% 5.10/1.11 tff(f489,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : list(X0),X1 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X1) = append(X0,X5,X2) | append(X0,X4,X1) != X2 | append(X0,X5,X4) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f241])).
% 5.10/1.11 tff(f241,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X3,X1) = append(X0,X5,X2) | append(X0,X4,X1) != X2 | append(X0,X5,X4) != X3)),
% 5.10/1.11 inference(flattening,[],[f240])).
% 5.10/1.11 tff(f240,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0),X5 : list(X0)] : ((append(X0,X3,X1) = append(X0,X5,X2) | append(X0,X4,X1) != X2) | append(X0,X5,X4) != X3)),
% 5.10/1.11 inference(ennf_transformation,[],[f202])).
% 5.10/1.11 tff(f202,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0),X3 : list(X0),X4 : list(X0),X5 : list(X0)] : (append(X0,X5,X4) = X3 => (append(X0,X4,X1) = X2 => append(X0,X3,X1) = append(X0,X5,X2)))),
% 5.10/1.11 inference(rectify,[],[f54])).
% 5.10/1.11 tff(f54,axiom,(
% 5.10/1.11 ! [X0 : $tType,X34 : list(X0),X22 : list(X0),X33 : list(X0),X35 : list(X0),X19 : list(X0)] : (append(X0,X19,X35) = X33 => (append(X0,X35,X34) = X22 => append(X0,X19,X22) = append(X0,X33,X34)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_append__eq__appendI)).
% 5.10/1.11 tff(f488,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,fun(list(X1),fun(X0,X0))),X5 : X0] : (list_rec(X0,X1,X5,X4,cons(X1,X3,X2)) = aa(X0,X0,aa(list(X1),fun(X0,X0),aa(X1,fun(list(X1),fun(X0,X0)),X4,X3),X2),list_rec(X0,X1,X5,X4,X2))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f201])).
% 5.10/1.11 tff(f201,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X2 : list(X1),X3 : X1,X4 : fun(X1,fun(list(X1),fun(X0,X0))),X5 : X0] : list_rec(X0,X1,X5,X4,cons(X1,X3,X2)) = aa(X0,X0,aa(list(X1),fun(X0,X0),aa(X1,fun(list(X1),fun(X0,X0)),X4,X3),X2),list_rec(X0,X1,X5,X4,X2))),
% 5.10/1.11 inference(rectify,[],[f23])).
% 5.10/1.11 tff(f23,axiom,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType,X9 : list(X1),X10 : X1,X23 : fun(X1,fun(list(X1),fun(X0,X0))),X24 : X0] : list_rec(X0,X1,X24,X23,cons(X1,X10,X9)) = aa(X0,X0,aa(list(X1),fun(X0,X0),aa(X1,fun(list(X1),fun(X0,X0)),X23,X10),X9),list_rec(X0,X1,X24,X23,X9))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_list_Orecs_I2_J)).
% 5.10/1.11 tff(f484,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (X2 = X4 | append(X0,X2,cons(X0,X1,nil(X0))) != append(X0,X4,cons(X0,X3,nil(X0)))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f315])).
% 5.10/1.11 tff(f315,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : X0,X4 : list(X0)] : ((append(X0,X2,cons(X0,X1,nil(X0))) = append(X0,X4,cons(X0,X3,nil(X0))) | X1 != X3 | X2 != X4) & ((X1 = X3 & X2 = X4) | append(X0,X2,cons(X0,X1,nil(X0))) != append(X0,X4,cons(X0,X3,nil(X0)))))),
% 5.10/1.11 inference(flattening,[],[f314])).
% 5.10/1.11 tff(f314,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : X0,X4 : list(X0)] : ((append(X0,X2,cons(X0,X1,nil(X0))) = append(X0,X4,cons(X0,X3,nil(X0))) | (X1 != X3 | X2 != X4)) & ((X1 = X3 & X2 = X4) | append(X0,X2,cons(X0,X1,nil(X0))) != append(X0,X4,cons(X0,X3,nil(X0)))))),
% 5.10/1.11 inference(nnf_transformation,[],[f199])).
% 5.10/1.11 tff(f199,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0),X3 : X0,X4 : list(X0)] : (append(X0,X2,cons(X0,X1,nil(X0))) = append(X0,X4,cons(X0,X3,nil(X0))) <=> (X1 = X3 & X2 = X4))),
% 5.10/1.11 inference(rectify,[],[f53])).
% 5.10/1.11 tff(f53,axiom,(
% 5.10/1.11 ! [X0 : $tType,X30 : X0,X31 : list(X0),X28 : X0,X11 : list(X0)] : (append(X0,X11,cons(X0,X28,nil(X0))) = append(X0,X31,cons(X0,X30,nil(X0))) <=> (X28 = X30 & X11 = X31))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_append1__eq__conv)).
% 5.10/1.11 tff(f485,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X3 : X0,X1 : X0,X4 : list(X0)] : (X1 = X3 | append(X0,X2,cons(X0,X1,nil(X0))) != append(X0,X4,cons(X0,X3,nil(X0)))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f315])).
% 5.10/1.11 tff(f457,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : list(X2)] : (append(X2,X4,sK14(X2,X0,X1,X3,X4)) = X3 | append(X2,X3,sK14(X2,X0,X1,X3,X4)) = X4 | ~sP0(X2,X0,X1,X3,X4)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f298])).
% 5.10/1.11 tff(f458,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : list(X2)] : (append(X2,X4,sK14(X2,X0,X1,X3,X4)) = X3 | append(X2,sK14(X2,X0,X1,X3,X4),X0) = X1 | ~sP0(X2,X0,X1,X3,X4)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f298])).
% 5.10/1.11 tff(f459,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : list(X2)] : (append(X2,sK14(X2,X0,X1,X3,X4),X1) = X0 | append(X2,X3,sK14(X2,X0,X1,X3,X4)) = X4 | ~sP0(X2,X0,X1,X3,X4)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f298])).
% 5.10/1.11 tff(f460,plain,(
% 5.10/1.11 ( ! [X2 : $tType,X3 : list(X2),X0 : list(X2),X1 : list(X2),X4 : list(X2)] : (append(X2,sK14(X2,X0,X1,X3,X4),X1) = X0 | append(X2,sK14(X2,X0,X1,X3,X4),X0) = X1 | ~sP0(X2,X0,X1,X3,X4)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f298])).
% 5.10/1.11 tff(f456,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0),X4 : fun(X0,bool)] : (cons(X0,X2,X1) = dropWhile(X0,X4,X3) | pp(aa(X0,bool,X4,X2)) | append(X0,takeWhile(X0,X4,X3),cons(X0,X2,X1)) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f294])).
% 5.10/1.11 tff(f528,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (nil(X0) != append(X0,X3,cons(X0,X2,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f447])).
% 5.10/1.11 tff(f447,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | append(X0,X3,cons(X0,X2,nil(X0))) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f292])).
% 5.10/1.11 tff(f292,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : ((append(X0,X3,cons(X0,X2,nil(X0))) = X1 | last(X0,X1) != X2 | butlast(X0,X1) != X3 | nil(X0) = X1) & ((last(X0,X1) = X2 & butlast(X0,X1) = X3 & nil(X0) != X1) | append(X0,X3,cons(X0,X2,nil(X0))) != X1))),
% 5.10/1.11 inference(flattening,[],[f291])).
% 5.10/1.11 tff(f291,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : ((append(X0,X3,cons(X0,X2,nil(X0))) = X1 | (last(X0,X1) != X2 | butlast(X0,X1) != X3 | nil(X0) = X1)) & ((last(X0,X1) = X2 & butlast(X0,X1) = X3 & nil(X0) != X1) | append(X0,X3,cons(X0,X2,nil(X0))) != X1))),
% 5.10/1.11 inference(nnf_transformation,[],[f190])).
% 5.10/1.11 tff(f190,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : (append(X0,X3,cons(X0,X2,nil(X0))) = X1 <=> (last(X0,X1) = X2 & butlast(X0,X1) = X3 & nil(X0) != X1))),
% 5.10/1.11 inference(rectify,[],[f34])).
% 5.10/1.11 tff(f34,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X28 : X0,X11 : list(X0)] : (append(X0,X11,cons(X0,X28,nil(X0))) = X31 <=> (last(X0,X31) = X28 & butlast(X0,X31) = X11 & nil(X0) != X31))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_snoc__eq__iff__butlast)).
% 5.10/1.11 tff(f527,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (butlast(X0,append(X0,X3,cons(X0,X2,nil(X0)))) = X3) )),
% 5.10/1.11 inference(equality_resolution,[],[f448])).
% 5.10/1.11 tff(f448,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (butlast(X0,X1) = X3 | append(X0,X3,cons(X0,X2,nil(X0))) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f292])).
% 5.10/1.11 tff(f526,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (last(X0,append(X0,X3,cons(X0,X2,nil(X0)))) = X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f449])).
% 5.10/1.11 tff(f449,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (last(X0,X1) = X2 | append(X0,X3,cons(X0,X2,nil(X0))) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f292])).
% 5.10/1.11 tff(f525,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),cons(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.11 inference(equality_resolution,[],[f524])).
% 5.10/1.11 tff(f524,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X3 : list(X0),X1 : list(X0)] : (append(X0,X3,cons(X0,last(X0,X1),nil(X0))) = X1 | butlast(X0,X1) != X3 | nil(X0) = X1) )),
% 5.10/1.11 inference(equality_resolution,[],[f450])).
% 5.10/1.11 tff(f450,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,X3,cons(X0,X2,nil(X0))) = X1 | last(X0,X1) != X2 | butlast(X0,X1) != X3 | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f292])).
% 5.10/1.11 tff(f437,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (append(X0,rev(X0,X1),cons(X0,X2,nil(X0))) = X3 | cons(X0,X2,X1) != rev(X0,X3)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f286])).
% 5.10/1.11 tff(f286,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : ((cons(X0,X2,X1) = rev(X0,X3) | append(X0,rev(X0,X1),cons(X0,X2,nil(X0))) != X3) & (append(X0,rev(X0,X1),cons(X0,X2,nil(X0))) = X3 | cons(X0,X2,X1) != rev(X0,X3)))),
% 5.10/1.11 inference(nnf_transformation,[],[f186])).
% 5.10/1.11 tff(f186,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0,X3 : list(X0)] : (cons(X0,X2,X1) = rev(X0,X3) <=> append(X0,rev(X0,X1),cons(X0,X2,nil(X0))) = X3)),
% 5.10/1.11 inference(rectify,[],[f92])).
% 5.10/1.11 tff(f92,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X30 : X0,X11 : list(X0)] : (cons(X0,X30,X31) = rev(X0,X11) <=> append(X0,rev(X0,X31),cons(X0,X30,nil(X0))) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_rev__eq__Cons__iff)).
% 5.10/1.11 tff(f520,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,append(X0,rev(X0,X1),cons(X0,X2,nil(X0))))) )),
% 5.10/1.11 inference(equality_resolution,[],[f438])).
% 5.10/1.11 tff(f438,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (cons(X0,X2,X1) = rev(X0,X3) | append(X0,rev(X0,X1),cons(X0,X2,nil(X0))) != X3) )),
% 5.10/1.11 inference(cnf_transformation,[],[f286])).
% 5.10/1.11 tff(f432,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X2 : list(X1),X3 : X1] : (rotate1(X1,cons(X1,X3,X2)) = append(X1,X2,cons(X1,X3,nil(X1)))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f183])).
% 5.10/1.11 tff(f425,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,nil(X0)) = X1 | rev(X0,X1) != cons(X0,X2,nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f285])).
% 5.10/1.11 tff(f285,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : ((rev(X0,X1) = cons(X0,X2,nil(X0)) | cons(X0,X2,nil(X0)) != X1) & (cons(X0,X2,nil(X0)) = X1 | rev(X0,X1) != cons(X0,X2,nil(X0))))),
% 5.10/1.11 inference(nnf_transformation,[],[f178])).
% 5.10/1.11 tff(f178,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : (rev(X0,X1) = cons(X0,X2,nil(X0)) <=> cons(X0,X2,nil(X0)) = X1)),
% 5.10/1.11 inference(rectify,[],[f90])).
% 5.10/1.11 tff(f90,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0),X28 : X0] : (cons(X0,X28,nil(X0)) = rev(X0,X11) <=> cons(X0,X28,nil(X0)) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_singleton__rev__conv)).
% 5.10/1.11 tff(f519,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0] : (cons(X0,X2,nil(X0)) = rev(X0,cons(X0,X2,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f426])).
% 5.10/1.11 tff(f426,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,X1) = cons(X0,X2,nil(X0)) | cons(X0,X2,nil(X0)) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f285])).
% 5.10/1.11 tff(f518,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (cons(X0,X1,nil(X0)) = rev(X0,cons(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f424])).
% 5.10/1.11 tff(f424,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,nil(X0)) = rev(X0,X2) | cons(X0,X1,nil(X0)) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f284])).
% 5.10/1.11 tff(f418,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | nil(X0) != append(X0,X2,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f282])).
% 5.10/1.11 tff(f282,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) = append(X0,X2,X1) | nil(X0) != X1 | nil(X0) != X2) & ((nil(X0) = X1 & nil(X0) = X2) | nil(X0) != append(X0,X2,X1)))),
% 5.10/1.11 inference(flattening,[],[f281])).
% 5.10/1.11 tff(f281,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((nil(X0) = append(X0,X2,X1) | (nil(X0) != X1 | nil(X0) != X2)) & ((nil(X0) = X1 & nil(X0) = X2) | nil(X0) != append(X0,X2,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f175])).
% 5.10/1.11 tff(f175,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (nil(X0) = append(X0,X2,X1) <=> (nil(X0) = X1 & nil(X0) = X2))),
% 5.10/1.11 inference(rectify,[],[f46])).
% 5.10/1.11 tff(f46,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (nil(X0) = append(X0,X11,X31) <=> (nil(X0) = X31 & nil(X0) = X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_append__is__Nil__conv)).
% 5.10/1.11 tff(f419,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != append(X0,X2,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f282])).
% 5.10/1.11 tff(f516,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = append(X0,nil(X0),nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f515])).
% 5.10/1.11 tff(f515,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (nil(X0) = append(X0,X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f420])).
% 5.10/1.11 tff(f420,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,X1) | nil(X0) != X1 | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f282])).
% 5.10/1.11 tff(f514,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = append(X0,nil(X0),nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f513])).
% 5.10/1.11 tff(f513,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (nil(X0) = append(X0,X2,nil(X0)) | nil(X0) != X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f417])).
% 5.10/1.11 tff(f417,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = append(X0,X2,X1) | nil(X0) != X1 | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f280])).
% 5.10/1.11 tff(f413,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X1 | append(X0,X2,X1) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f278])).
% 5.10/1.11 tff(f278,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((append(X0,X2,X1) = X2 | nil(X0) != X1) & (nil(X0) = X1 | append(X0,X2,X1) != X2))),
% 5.10/1.11 inference(nnf_transformation,[],[f173])).
% 5.10/1.11 tff(f173,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (append(X0,X2,X1) = X2 <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f45])).
% 5.10/1.11 tff(f45,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (append(X0,X11,X31) = X11 <=> nil(X0) = X31)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_append__self__conv)).
% 5.10/1.11 tff(f512,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (append(X0,X2,nil(X0)) = X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f414])).
% 5.10/1.11 tff(f414,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,X1) = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f278])).
% 5.10/1.11 tff(f411,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (nil(X0) = X2 | append(X0,X2,X1) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f277])).
% 5.10/1.11 tff(f277,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((append(X0,X2,X1) = X1 | nil(X0) != X2) & (nil(X0) = X2 | append(X0,X2,X1) != X1))),
% 5.10/1.11 inference(nnf_transformation,[],[f172])).
% 5.10/1.11 tff(f172,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (append(X0,X2,X1) = X1 <=> nil(X0) = X2)),
% 5.10/1.11 inference(rectify,[],[f44])).
% 5.10/1.11 tff(f44,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (append(X0,X11,X31) = X31 <=> nil(X0) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_append__self__conv2)).
% 5.10/1.11 tff(f511,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,nil(X0),X1) = X1) )),
% 5.10/1.11 inference(equality_resolution,[],[f412])).
% 5.10/1.11 tff(f412,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,X1) = X1 | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f277])).
% 5.10/1.11 tff(f510,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (append(X0,nil(X0),X2) = X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f410])).
% 5.10/1.11 tff(f410,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X1,X2) = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f276])).
% 5.10/1.11 tff(f509,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (append(X0,X2,nil(X0)) = X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f408])).
% 5.10/1.11 tff(f408,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,X2,X1) = X2 | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f275])).
% 5.10/1.11 tff(f508,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (rev(X0,rev(X0,X2)) = X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f405])).
% 5.10/1.11 tff(f405,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X1) = X2 | rev(X0,X2) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f274])).
% 5.10/1.11 tff(f274,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : ((rev(X0,X2) = X1 | rev(X0,X1) != X2) & (rev(X0,X1) = X2 | rev(X0,X2) != X1))),
% 5.10/1.11 inference(nnf_transformation,[],[f169])).
% 5.10/1.11 tff(f169,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (rev(X0,X2) = X1 <=> rev(X0,X1) = X2)),
% 5.10/1.11 inference(rectify,[],[f94])).
% 5.10/1.11 tff(f94,axiom,(
% 5.10/1.11 ! [X0 : $tType,X31 : list(X0),X11 : list(X0)] : (rev(X0,X11) = X31 <=> rev(X0,X31) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_rev__swap)).
% 5.10/1.11 tff(f507,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (rev(X0,rev(X0,X1)) = X1) )),
% 5.10/1.11 inference(equality_resolution,[],[f406])).
% 5.10/1.11 tff(f406,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (rev(X0,X2) = X1 | rev(X0,X1) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f274])).
% 5.10/1.11 tff(f402,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : fun(list(X0),bool),X1 : list(X0)] : (pp(aa(list(X0),bool,X2,X1)) | ~pp(aa(list(X0),bool,X2,append(X0,sK13(X0,X2),cons(X0,sK12(X0,X2),nil(X0))))) | ~pp(aa(list(X0),bool,X2,nil(X0)))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f272])).
% 5.10/1.11 tff(f505,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = last(X0,append(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f400])).
% 5.10/1.11 tff(f400,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = last(X0,append(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f234])).
% 5.10/1.11 tff(f234,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (last(X0,X1) = last(X0,append(X0,X1,X2)) | nil(X0) != X2)),
% 5.10/1.11 inference(ennf_transformation,[],[f166])).
% 5.10/1.11 tff(f166,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (nil(X0) = X2 => last(X0,X1) = last(X0,append(X0,X1,X2)))),
% 5.10/1.11 inference(rectify,[],[f65])).
% 5.10/1.11 tff(f65,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X22 : list(X0)] : (nil(X0) = X22 => last(X0,X19) = last(X0,append(X0,X19,X22)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_last__appendL)).
% 5.10/1.11 tff(f504,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : X0] : (last(X0,cons(X0,X1,nil(X0))) = X1) )),
% 5.10/1.11 inference(equality_resolution,[],[f399])).
% 5.10/1.11 tff(f399,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = X1 | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f233])).
% 5.10/1.11 tff(f233,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (last(X0,cons(X0,X1,X2)) = X1 | nil(X0) != X2)),
% 5.10/1.11 inference(ennf_transformation,[],[f165])).
% 5.10/1.11 tff(f165,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (nil(X0) = X2 => last(X0,cons(X0,X1,X2)) = X1)),
% 5.10/1.11 inference(rectify,[],[f31])).
% 5.10/1.11 tff(f31,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : (nil(X0) = X19 => last(X0,cons(X0,X6,X19)) = X6)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_last__ConsL)).
% 5.10/1.11 tff(f396,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,X2)) | nil(X0) != sK10(X0,X1) | ~pp(aa(list(X0),bool,X1,cons(X0,sK11(X0,X1),nil(X0)))) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f270])).
% 5.10/1.11 tff(f270,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (pp(aa(list(X0),bool,X1,X2)) | (~pp(aa(list(X0),bool,X1,cons(X0,sK9(X0,X1),sK10(X0,X1)))) & pp(aa(list(X0),bool,X1,sK10(X0,X1))) & nil(X0) != sK10(X0,X1)) | ~pp(aa(list(X0),bool,X1,cons(X0,sK11(X0,X1),nil(X0)))) | nil(X0) = X2)),
% 5.10/1.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f267,f269,f268])).
% 5.10/1.11 tff(f268,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool)] : (? [X3 : X0,X4 : list(X0)] : (~pp(aa(list(X0),bool,X1,cons(X0,X3,X4))) & pp(aa(list(X0),bool,X1,X4)) & nil(X0) != X4) => (~pp(aa(list(X0),bool,X1,cons(X0,sK9(X0,X1),sK10(X0,X1)))) & pp(aa(list(X0),bool,X1,sK10(X0,X1))) & nil(X0) != sK10(X0,X1)))),
% 5.10/1.11 introduced(choice_axiom,[])).
% 5.10/1.11 tff(f269,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool)] : (? [X5 : X0] : ~pp(aa(list(X0),bool,X1,cons(X0,X5,nil(X0)))) => ~pp(aa(list(X0),bool,X1,cons(X0,sK11(X0,X1),nil(X0)))))),
% 5.10/1.11 introduced(choice_axiom,[])).
% 5.10/1.11 tff(f267,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (pp(aa(list(X0),bool,X1,X2)) | ? [X3 : X0,X4 : list(X0)] : (~pp(aa(list(X0),bool,X1,cons(X0,X3,X4))) & pp(aa(list(X0),bool,X1,X4)) & nil(X0) != X4) | ? [X5 : X0] : ~pp(aa(list(X0),bool,X1,cons(X0,X5,nil(X0)))) | nil(X0) = X2)),
% 5.10/1.11 inference(rectify,[],[f232])).
% 5.10/1.11 tff(f232,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (pp(aa(list(X0),bool,X1,X2)) | ? [X4 : X0,X5 : list(X0)] : (~pp(aa(list(X0),bool,X1,cons(X0,X4,X5))) & pp(aa(list(X0),bool,X1,X5)) & nil(X0) != X5) | ? [X3 : X0] : ~pp(aa(list(X0),bool,X1,cons(X0,X3,nil(X0)))) | nil(X0) = X2)),
% 5.10/1.11 inference(flattening,[],[f231])).
% 5.10/1.11 tff(f231,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (((pp(aa(list(X0),bool,X1,X2)) | ? [X4 : X0,X5 : list(X0)] : ((~pp(aa(list(X0),bool,X1,cons(X0,X4,X5))) & pp(aa(list(X0),bool,X1,X5))) & nil(X0) != X5)) | ? [X3 : X0] : ~pp(aa(list(X0),bool,X1,cons(X0,X3,nil(X0))))) | nil(X0) = X2)),
% 5.10/1.11 inference(ennf_transformation,[],[f164])).
% 5.10/1.11 tff(f164,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : fun(list(X0),bool),X2 : list(X0)] : (nil(X0) != X2 => (! [X3 : X0] : pp(aa(list(X0),bool,X1,cons(X0,X3,nil(X0)))) => (! [X4 : X0,X5 : list(X0)] : (nil(X0) != X5 => (pp(aa(list(X0),bool,X1,X5)) => pp(aa(list(X0),bool,X1,cons(X0,X4,X5))))) => pp(aa(list(X0),bool,X1,X2)))))),
% 5.10/1.11 inference(rectify,[],[f21])).
% 5.10/1.11 tff(f21,axiom,(
% 5.10/1.11 ! [X0 : $tType,X25 : fun(list(X0),bool),X11 : list(X0)] : (nil(X0) != X11 => (! [X26 : X0] : pp(aa(list(X0),bool,X25,cons(X0,X26,nil(X0)))) => (! [X26 : X0,X27 : list(X0)] : (nil(X0) != X27 => (pp(aa(list(X0),bool,X25,X27)) => pp(aa(list(X0),bool,X25,cons(X0,X26,X27))))) => pp(aa(list(X0),bool,X25,X11)))))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_list__nonempty__induct)).
% 5.10/1.11 tff(f397,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,X2)) | pp(aa(list(X0),bool,X1,sK10(X0,X1))) | ~pp(aa(list(X0),bool,X1,cons(X0,sK11(X0,X1),nil(X0)))) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f270])).
% 5.10/1.11 tff(f398,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : fun(list(X0),bool)] : (pp(aa(list(X0),bool,X1,X2)) | ~pp(aa(list(X0),bool,X1,cons(X0,sK9(X0,X1),sK10(X0,X1)))) | ~pp(aa(list(X0),bool,X1,cons(X0,sK11(X0,X1),nil(X0)))) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f270])).
% 5.10/1.11 tff(f395,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,cons(X0,X1,X2)) = last(X0,X2) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f230])).
% 5.10/1.11 tff(f230,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (last(X0,cons(X0,X1,X2)) = last(X0,X2) | nil(X0) = X2)),
% 5.10/1.11 inference(ennf_transformation,[],[f163])).
% 5.10/1.11 tff(f163,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : (nil(X0) != X2 => last(X0,cons(X0,X1,X2)) = last(X0,X2))),
% 5.10/1.11 inference(rectify,[],[f30])).
% 5.10/1.11 tff(f30,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : (nil(X0) != X19 => last(X0,cons(X0,X6,X19)) = last(X0,X19))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_last__ConsR)).
% 5.10/1.11 tff(f394,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X2) = last(X0,append(X0,X1,X2)) | nil(X0) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f229])).
% 5.10/1.11 tff(f229,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (last(X0,X2) = last(X0,append(X0,X1,X2)) | nil(X0) = X2)),
% 5.10/1.11 inference(ennf_transformation,[],[f162])).
% 5.10/1.11 tff(f162,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (nil(X0) != X2 => last(X0,X2) = last(X0,append(X0,X1,X2)))),
% 5.10/1.11 inference(rectify,[],[f66])).
% 5.10/1.11 tff(f66,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X22 : list(X0)] : (nil(X0) != X22 => last(X0,append(X0,X19,X22)) = last(X0,X22))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_last__appendR)).
% 5.10/1.11 tff(f503,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0)] : (append(X0,nil(X0),X2) = X2) )),
% 5.10/1.11 inference(equality_resolution,[],[f393])).
% 5.10/1.11 tff(f393,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (append(X0,nil(X0),X1) = X2 | X1 != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f228])).
% 5.10/1.11 tff(f228,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (append(X0,nil(X0),X1) = X2 | X1 != X2)),
% 5.10/1.11 inference(ennf_transformation,[],[f161])).
% 5.10/1.11 tff(f161,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : list(X0)] : (X1 = X2 => append(X0,nil(X0),X1) = X2)),
% 5.10/1.11 inference(rectify,[],[f58])).
% 5.10/1.11 tff(f58,axiom,(
% 5.10/1.11 ! [X0 : $tType,X22 : list(X0),X19 : list(X0)] : (X19 = X22 => append(X0,nil(X0),X22) = X19)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_eq__Nil__appendI)).
% 5.10/1.11 tff(f502,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (butlast(X0,X1) = butlast(X0,append(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f388])).
% 5.10/1.11 tff(f388,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (butlast(X0,X1) = butlast(X0,append(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f224])).
% 5.10/1.11 tff(f501,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (hd(X0,X1) = hd(X0,append(X0,nil(X0),X1))) )),
% 5.10/1.11 inference(equality_resolution,[],[f386])).
% 5.10/1.11 tff(f386,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (hd(X0,X1) = hd(X0,append(X0,X2,X1)) | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f223])).
% 5.10/1.11 tff(f500,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (last(X0,X1) = last(X0,append(X0,X1,nil(X0)))) )),
% 5.10/1.11 inference(equality_resolution,[],[f384])).
% 5.10/1.11 tff(f384,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : list(X0)] : (last(X0,X1) = last(X0,append(X0,X1,X2)) | nil(X0) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f222])).
% 5.10/1.11 tff(f379,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (rev(X0,cons(X0,X2,X1)) = append(X0,rev(X0,X1),cons(X0,X2,nil(X0)))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f152])).
% 5.10/1.11 tff(f152,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : rev(X0,cons(X0,X2,X1)) = append(X0,rev(X0,X1),cons(X0,X2,nil(X0)))),
% 5.10/1.11 inference(rectify,[],[f81])).
% 5.10/1.11 tff(f81,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0),X6 : X0] : rev(X0,cons(X0,X6,X19)) = append(X0,rev(X0,X19),cons(X0,X6,nil(X0)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_rev_Osimps_I2_J)).
% 5.10/1.11 tff(f377,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (cons(X0,X2,X1) = splice(X0,cons(X0,X2,X1),nil(X0))) )),
% 5.10/1.11 inference(cnf_transformation,[],[f150])).
% 5.10/1.11 tff(f150,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : cons(X0,X2,X1) = splice(X0,cons(X0,X2,X1),nil(X0))),
% 5.10/1.11 inference(rectify,[],[f13])).
% 5.10/1.11 tff(f13,axiom,(
% 5.10/1.11 ! [X0 : $tType,X20 : list(X0),X21 : X0] : cons(X0,X21,X20) = splice(X0,cons(X0,X21,X20),nil(X0))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_splice_Osimps_I2_J)).
% 5.10/1.11 tff(f375,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (butlast(X0,append(X0,X2,cons(X0,X1,nil(X0)))) = X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f148])).
% 5.10/1.11 tff(f148,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : butlast(X0,append(X0,X2,cons(X0,X1,nil(X0)))) = X2),
% 5.10/1.11 inference(rectify,[],[f68])).
% 5.10/1.11 tff(f68,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : butlast(X0,append(X0,X19,cons(X0,X6,nil(X0)))) = X19),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_butlast__snoc)).
% 5.10/1.11 tff(f374,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (last(X0,append(X0,X2,cons(X0,X1,nil(X0)))) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f147])).
% 5.10/1.11 tff(f147,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : last(X0,append(X0,X2,cons(X0,X1,nil(X0)))) = X1),
% 5.10/1.11 inference(rectify,[],[f70])).
% 5.10/1.11 tff(f70,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : last(X0,append(X0,X19,cons(X0,X6,nil(X0)))) = X6),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_last__snoc)).
% 5.10/1.11 tff(f371,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X1 : list(X0)] : (nil(X0) != cons(X0,X2,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f144])).
% 5.10/1.11 tff(f144,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0),X2 : X0] : nil(X0) != cons(X0,X2,X1)),
% 5.10/1.11 inference(rectify,[],[f7])).
% 5.10/1.11 tff(f7,axiom,(
% 5.10/1.11 ! [X0 : $tType,X13 : list(X0),X14 : X0] : nil(X0) != cons(X0,X14,X13)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_list_Osimps_I3_J)).
% 5.10/1.11 tff(f369,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : list(X0),X1 : X0] : (cons(X0,X1,X2) != X2) )),
% 5.10/1.11 inference(cnf_transformation,[],[f142])).
% 5.10/1.11 tff(f142,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : X0,X2 : list(X0)] : cons(X0,X1,X2) != X2),
% 5.10/1.11 inference(rectify,[],[f10])).
% 5.10/1.11 tff(f10,axiom,(
% 5.10/1.11 ! [X0 : $tType,X6 : X0,X19 : list(X0)] : cons(X0,X6,X19) != X19),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_not__Cons__self)).
% 5.10/1.11 tff(f365,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | nil(X0) != rev(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f266])).
% 5.10/1.11 tff(f266,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) = rev(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | nil(X0) != rev(X0,X1)))),
% 5.10/1.11 inference(nnf_transformation,[],[f139])).
% 5.10/1.11 tff(f139,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rev(X0,X1) <=> nil(X0) = X1)),
% 5.10/1.11 inference(rectify,[],[f84])).
% 5.10/1.11 tff(f84,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (nil(X0) = rev(X0,X11) <=> nil(X0) = X11)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_Nil__is__rev__conv)).
% 5.10/1.11 tff(f497,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = rev(X0,nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f366])).
% 5.10/1.11 tff(f366,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rev(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f266])).
% 5.10/1.11 tff(f496,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = rev(X0,nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f364])).
% 5.10/1.11 tff(f364,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rev(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f265])).
% 5.10/1.11 tff(f495,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (nil(X0) = rotate1(X0,nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f362])).
% 5.10/1.11 tff(f362,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = rotate1(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f264])).
% 5.10/1.11 tff(f494,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (null(X0,nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f353])).
% 5.10/1.11 tff(f353,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (null(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f260])).
% 5.10/1.11 tff(f260,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : ((nil(X0) = X1 | ~null(X0,X1)) & (null(X0,X1) | nil(X0) != X1))),
% 5.10/1.11 inference(nnf_transformation,[],[f133])).
% 5.10/1.11 tff(f133,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 <=> null(X0,X1))),
% 5.10/1.11 inference(rectify,[],[f38])).
% 5.10/1.11 tff(f38,axiom,(
% 5.10/1.11 ! [X0 : $tType,X11 : list(X0)] : (nil(X0) = X11 <=> null(X0,X11))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_eq__Nil__null)).
% 5.10/1.11 tff(f354,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (nil(X0) = X1 | ~null(X0,X1)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f260])).
% 5.10/1.11 tff(f493,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0)] : (nil(X0) != cons(X0,X2,X3)) )),
% 5.10/1.11 inference(equality_resolution,[],[f352])).
% 5.10/1.11 tff(f352,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X2 : X0,X3 : list(X0),X1 : list(X0)] : (nil(X0) != X1 | cons(X0,X2,X3) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f259])).
% 5.10/1.11 tff(f492,plain,(
% 5.10/1.11 ( ! [X0 : $tType] : (null(X0,nil(X0))) )),
% 5.10/1.11 inference(equality_resolution,[],[f350])).
% 5.10/1.11 tff(f350,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (null(X0,X1) | nil(X0) != X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f255])).
% 5.10/1.11 tff(f348,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,sK5(X0,X1),cons(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f254])).
% 5.10/1.11 tff(f254,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (append(X0,sK5(X0,X1),cons(X0,sK6(X0,X1),nil(X0))) = X1 | nil(X0) = X1)),
% 5.10/1.11 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f219,f253])).
% 5.10/1.11 tff(f253,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : list(X0),X3 : X0] : append(X0,X2,cons(X0,X3,nil(X0))) = X1 => append(X0,sK5(X0,X1),cons(X0,sK6(X0,X1),nil(X0))) = X1)),
% 5.10/1.11 introduced(choice_axiom,[])).
% 5.10/1.11 tff(f219,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (? [X2 : list(X0),X3 : X0] : append(X0,X2,cons(X0,X3,nil(X0))) = X1 | nil(X0) = X1)),
% 5.10/1.11 inference(ennf_transformation,[],[f130])).
% 5.10/1.11 tff(f130,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => ~! [X2 : list(X0),X3 : X0] : append(X0,X2,cons(X0,X3,nil(X0))) != X1)),
% 5.10/1.11 inference(rectify,[],[f71])).
% 5.10/1.11 tff(f71,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : (nil(X0) != X19 => ~! [X40 : list(X0),X41 : X0] : append(X0,X40,cons(X0,X41,nil(X0))) != X19)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_rev__cases)).
% 5.10/1.11 tff(f345,plain,(
% 5.10/1.11 ( ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),cons(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1) )),
% 5.10/1.11 inference(cnf_transformation,[],[f215])).
% 5.10/1.11 tff(f215,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (append(X0,butlast(X0,X1),cons(X0,last(X0,X1),nil(X0))) = X1 | nil(X0) = X1)),
% 5.10/1.11 inference(ennf_transformation,[],[f127])).
% 5.10/1.11 tff(f127,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : list(X0)] : (nil(X0) != X1 => append(X0,butlast(X0,X1),cons(X0,last(X0,X1),nil(X0))) = X1)),
% 5.10/1.11 inference(rectify,[],[f35])).
% 5.10/1.11 tff(f35,axiom,(
% 5.10/1.11 ! [X0 : $tType,X19 : list(X0)] : (nil(X0) != X19 => append(X0,butlast(X0,X19),cons(X0,last(X0,X19),nil(X0))) = X19)),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_append__butlast__last__id)).
% 5.10/1.11 tff(f342,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : list(X1),X3 : X1,X4 : X1,X5 : fun(X1,X0)] : (linorder_insort_key(X1,X0,X5,X3,linorder_insort_key(X1,X0,X5,X4,X2)) = linorder_insort_key(X1,X0,X5,X4,linorder_insort_key(X1,X0,X5,X3,X2)) | aa(X1,X0,X5,X4) = aa(X1,X0,X5,X3) | ~linorder(X0)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f212])).
% 5.10/1.11 tff(f212,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (! [X2 : list(X1),X3 : X1,X4 : X1,X5 : fun(X1,X0)] : (linorder_insort_key(X1,X0,X5,X3,linorder_insort_key(X1,X0,X5,X4,X2)) = linorder_insort_key(X1,X0,X5,X4,linorder_insort_key(X1,X0,X5,X3,X2)) | aa(X1,X0,X5,X4) = aa(X1,X0,X5,X3)) | ~linorder(X0))),
% 5.10/1.11 inference(ennf_transformation,[],[f124])).
% 5.10/1.11 tff(f124,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : list(X1),X3 : X1,X4 : X1,X5 : fun(X1,X0)] : (aa(X1,X0,X5,X4) != aa(X1,X0,X5,X3) => linorder_insort_key(X1,X0,X5,X3,linorder_insort_key(X1,X0,X5,X4,X2)) = linorder_insort_key(X1,X0,X5,X4,linorder_insort_key(X1,X0,X5,X3,X2))))),
% 5.10/1.11 inference(rectify,[],[f28])).
% 5.10/1.11 tff(f28,axiom,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X11 : list(X1),X30 : X1,X28 : X1,X29 : fun(X1,X0)] : (aa(X1,X0,X29,X28) != aa(X1,X0,X29,X30) => linorder_insort_key(X1,X0,X29,X30,linorder_insort_key(X1,X0,X29,X28,X11)) = linorder_insort_key(X1,X0,X29,X28,linorder_insort_key(X1,X0,X29,X30,X11))))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_insort__key__left__comm)).
% 5.10/1.11 tff(f337,plain,(
% 5.10/1.11 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : fun(X1,X0)] : (linorder_insort_key(X1,X0,X3,X2,nil(X1)) = cons(X1,X2,nil(X1)) | ~linorder(X0)) )),
% 5.10/1.11 inference(cnf_transformation,[],[f208])).
% 5.10/1.11 tff(f208,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (! [X2 : X1,X3 : fun(X1,X0)] : linorder_insort_key(X1,X0,X3,X2,nil(X1)) = cons(X1,X2,nil(X1)) | ~linorder(X0))),
% 5.10/1.11 inference(ennf_transformation,[],[f120])).
% 5.10/1.11 tff(f120,plain,(
% 5.10/1.11 ! [X0 : $tType,X1 : $tType] : (linorder(X0) => ! [X2 : X1,X3 : fun(X1,X0)] : linorder_insort_key(X1,X0,X3,X2,nil(X1)) = cons(X1,X2,nil(X1)))),
% 5.10/1.11 inference(rectify,[],[f26])).
% 5.10/1.11 tff(f26,axiom,(
% 5.10/1.11 ! [X1 : $tType,X0 : $tType] : (linorder(X1) => ! [X28 : X0,X29 : fun(X0,X1)] : linorder_insort_key(X0,X1,X29,X28,nil(X0)) = cons(X0,X28,nil(X0)))),
% 5.10/1.11 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_insort__key_Osimps_I1_J)).
% 5.10/1.11 tff(f1154,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))))),
% 5.10/1.11 inference(forward_demodulation,[],[f491,f335])).
% 5.10/1.11 tff(f16155,plain,(
% 5.10/1.11 spl20_3 | ~spl20_4 | spl20_2),
% 5.10/1.11 inference(avatar_split_clause,[],[f16051,f15661,f16152,f16149])).
% 5.10/1.11 tff(f16149,plain,(
% 5.10/1.11 spl20_3 <=> ! [X0 : arrow_411405190le_alt] : a = X0),
% 5.10/1.11 introduced(avatar_definition,[new_symbols(naming,[spl20_3])])).
% 5.10/1.11 tff(f16152,plain,(
% 5.10/1.11 spl20_4 <=> a = sK19),
% 5.10/1.11 introduced(avatar_definition,[new_symbols(naming,[spl20_4])])).
% 5.10/1.11 tff(f15902,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15901])).
% 5.10/1.11 tff(f15901,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15900,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,X0) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) ) | ~spl20_2),
% 5.10/1.11 inference(forward_demodulation,[],[f15876,f328])).
% 5.10/1.11 tff(f15876,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (distinct(arrow_411405190le_alt,rev(arrow_411405190le_alt,rev(arrow_411405190le_alt,X0))) | cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f823])).
% 5.10/1.11 tff(f15897,plain,(
% 5.10/1.11 a = sK19 | ~spl20_2),
% 5.10/1.11 inference(subsumption_resolution,[],[f15870,f572])).
% 5.10/1.11 tff(f15870,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,b,nil(arrow_411405190le_alt)))) | a = sK19 | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14758])).
% 5.10/1.11 tff(f15869,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = X0 | a = sK19) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14771])).
% 5.10/1.11 tff(f15868,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,X0,nil(arrow_411405190le_alt)))) | a = sK19 | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14771])).
% 5.10/1.11 tff(f15867,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14771])).
% 5.10/1.11 tff(f15866,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | sK19 = X0 | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14771])).
% 5.10/1.11 tff(f15886,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(subsumption_resolution,[],[f15865,f319])).
% 5.10/1.11 tff(f15865,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0 | a = b) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14771])).
% 5.10/1.11 tff(f15883,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(subsumption_resolution,[],[f15864,f319])).
% 5.10/1.11 tff(f15864,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = b | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14771])).
% 5.10/1.11 tff(f15861,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | a = X0) ) | ~spl20_2),
% 5.10/1.11 inference(superposition,[],[f15663,f14758])).
% 5.10/1.11 tff(f15858,plain,(
% 5.10/1.11 ~distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | ~spl20_2),
% 5.10/1.11 inference(resolution,[],[f15663,f14706])).
% 5.10/1.11 tff(f15663,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,b,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | ~spl20_2),
% 5.10/1.11 inference(avatar_component_clause,[],[f15661])).
% 5.10/1.11 tff(f15855,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | ~spl20_1),
% 5.10/1.11 inference(superposition,[],[f1154,f15659])).
% 5.10/1.11 tff(f15854,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt)))) | ~spl20_1),
% 5.10/1.11 inference(superposition,[],[f1574,f15659])).
% 5.10/1.11 tff(f15853,plain,(
% 5.10/1.11 ( ! [X0 : list(arrow_411405190le_alt)] : (cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))) != X0 | distinct(arrow_411405190le_alt,X0)) ) | ~spl20_1),
% 5.10/1.11 inference(superposition,[],[f1585,f15659])).
% 5.10/1.11 tff(f15899,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15898])).
% 5.10/1.11 tff(f15898,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15896,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15895])).
% 5.10/1.11 tff(f15895,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15894,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15893])).
% 5.10/1.11 tff(f15893,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15892,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15891])).
% 5.10/1.11 tff(f15891,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15890,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15889])).
% 5.10/1.11 tff(f15889,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15888,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15887])).
% 5.10/1.11 tff(f15887,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15885,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15884])).
% 5.10/1.11 tff(f15884,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15882,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15881])).
% 5.10/1.11 tff(f15881,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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% 5.10/1.11 tff(f15879,plain,(
% 5.10/1.11 ~spl20_1 | ~spl20_2),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15878])).
% 5.10/1.11 tff(f15878,plain,(
% 5.10/1.11 $false | (~spl20_1 | ~spl20_2)),
% 5.10/1.11 inference(global_subsumption,[],[f337,f342,f345,f348,f492,f493,f354,f494,f495,f496,f497,f365,f369,f371,f374,f375,f377,f379,f500,f501,f502,f503,f394,f395,f398,f397,f396,f504,f505,f402,f507,f508,f509,f510,f511,f411,f512,f413,f514,f516,f419,f418,f518,f519,f425,f432,f520,f437,f525,f526,f527,f528,f456,f460,f459,f458,f457,f476,f485,f484,f488,f546,f548,f491,f320,f321,f322,f319,f323,f324,f506,f367,f327,f368,f325,f326,f328,f329,f330,f331,f332,f349,f355,f356,f357,f553,f358,f370,f372,f431,f333,f334,f359,f360,f390,f391,f392,f403,f427,f428,f498,f521,f318,f373,f536,f540,f499,f335,f570,f567,f568,f566,f569,f571,f575,f336,f572,f576,f565,f338,f339,f340,f361,f363,f407,f409,f421,f592,f594,f530,f601,f600,f596,f603,f532,f599,f604,f613,f607,f534,f620,f616,f621,f619,f538,f626,f622,f627,f625,f584,f595,f573,f574,f583,f635,f636,f638,f590,f642,f346,f631,f647,f655,f656,f658,f660,f747,f661,f748,f749,f750,f751,f752,f753,f754,f755,f756,f757,f758,f770,f771,f722,f779,f780,f782,f783,f784,f744,f745,f768,f775,f787,f641,f807,f810,f811,f812,f847,f814,f817,f818,f819,f848,f821,f826,f827,f828,f829,f830,f832,f834,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f823,f849,f851,f853,f854,f855,f969,f970,f860,f861,f862,f863,f971,f867,f868,f869,f870,f871,f872,f873,f874,f875,f877,f878,f879,f880,f972,f973,f974,f975,f976,f977,f891,f982,f893,f983,f895,f984,f897,f904,f993,f994,f995,f996,f999,f914,f1000,f1001,f919,f1005,f1007,f930,f1016,f937,f938,f939,f940,f941,f942,f943,f946,f948,f951,f952,f953,f1030,f1033,f1034,f961,f962,f963,f1035,f965,f966,f967,f968,f1002,f1036,f989,f990,f824,f1050,f1054,f1055,f1056,f1057,f1062,f1064,f1051,f825,f858,f1003,f1068,f1069,f1018,f1074,f1076,f1077,f1082,f376,f1104,f1105,f1107,f1108,f1089,f1109,f1019,f1120,f1112,f1114,f1115,f1121,f1023,f1128,f1024,f1135,f1061,f415,f1140,f416,f1145,f481,f1148,f1150,f1151,f1155,f1049,f1164,f1165,f1161,f1166,f1154,f1173,f1174,f1139,f1175,f1177,f1144,f1179,f1181,f1167,f1188,f1189,f1099,f1191,f1199,f1200,f1195,f1202,f1203,f1100,f1205,f1213,f1214,f1209,f1216,f1217,f1101,f1219,f1227,f1228,f1223,f1230,f1231,f343,f1234,f1236,f1237,f1243,f1241,f1244,f1102,f1246,f1254,f1255,f1250,f1257,f1258,f985,f1264,f986,f1269,f988,f1271,f991,f1274,f1004,f1277,f1281,f1012,f1282,f1288,f1289,f1014,f1291,f1025,f1299,f344,f1303,f1305,f1306,f1312,f1310,f1313,f1027,f1319,f1320,f1029,f1326,f1327,f1032,f1335,f1336,f1337,f443,f1340,f1341,f1349,f1343,f1345,f1346,f1350,f1338,f1353,f1356,f445,f1359,f1360,f1368,f1363,f1364,f1365,f1369,f1358,f1372,f1375,f482,f1377,f1379,f1380,f1384,f1383,f1387,f1388,f1390,f1398,f1399,f1401,f1402,f1403,f1406,f1147,f1416,f1419,f765,f1425,f381,f1433,f1429,f1434,f772,f1435,f1436,f1441,f1453,f1447,f1448,f1450,f776,f1456,f777,f1460,f831,f1462,f1463,f1468,f1469,f1475,f876,f1476,f1478,f1479,f1484,f1485,f1490,f978,f979,f980,f981,f992,f1495,f385,f1497,f1504,f1500,f1505,f997,f1509,f998,f1513,f1006,f1008,f1009,f1010,f1011,f1519,f1520,f1020,f1521,f1522,f1527,f1534,f1022,f1540,f1411,f1541,f387,f1545,f1550,f1548,f1551,f1021,f1552,f1553,f1558,f1566,f1040,f1569,f1573,f440,f1580,f1581,f1574,f1585,f1590,f441,f1597,f1598,f1591,f1602,f1607,f1091,f1610,f1611,f1092,f1614,f1616,f1620,f1621,f1622,f1623,f1093,f1630,f1642,f1643,f1646,f1649,f1651,f1652,f1653,f1648,f1660,f1662,f1658,f1094,f1678,f1680,f1681,f1682,f1672,f1673,f1685,f1686,f1677,f1688,f1694,f1696,f1692,f1095,f1698,f1710,f1711,f1714,f1717,f1719,f1720,f1721,f1716,f1728,f1730,f1726,f1096,f1745,f1747,f1748,f1749,f1739,f1740,f1752,f1753,f1744,f1755,f1761,f1763,f1759,f347,f1794,f1795,f1796,f1797,f1768,f1774,f1775,f1776,f1777,f1778,f1779,f1780,f1782,f1784,f1786,f1787,f1789,f1790,f1791,f1792,f1793,f1771,f1798,f1799,f1773,f1800,f1804,f1803,f1788,f1781,f1814,f1815,f1816,f1813,f1827,f1828,f1829,f1830,f1831,f1097,f1833,f1844,f1845,f1848,f1850,f1851,f1853,f1854,f1098,f1856,f1867,f1868,f1871,f1873,f1874,f1876,f1877,f1418,f1878,f1880,f918,f1883,f1884,f1885,f1886,f1889,f1890,f1901,f1902,f1895,f1896,f1897,f1898,f1903,f1894,f1907,f351,f1941,f1942,f1943,f1944,f1914,f1920,f1921,f1922,f1923,f1924,f1925,f1926,f1928,f1930,f1932,f1933,f1935,f1936,f1937,f1938,f1939,f1917,f1945,f1946,f1919,f1947,f1951,f1950,f1927,f1960,f1961,f1962,f1905,f1963,f987,f1966,f1013,f1970,f1044,f1976,f1048,f1980,f1893,f1981,f1982,f1983,f1984,f378,f1987,f1988,f2029,f1990,f2030,f1993,f2032,f2034,f1997,f1998,f2035,f2000,f2036,f2003,f2038,f2040,f2007,f2041,f2009,f2010,f2011,f2012,f2013,f2014,f2015,f2016,f2017,f2018,f2019,f2020,f2021,f2022,f2023,f2024,f2025,f2026,f2027,f2028,f1906,f2042,f2043,f1940,f2045,f2046,f429,f2051,f2052,f2088,f2090,f2056,f2091,f2058,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2066,f2067,f2068,f2069,f2070,f2071,f2072,f2073,f2074,f2075,f2076,f2077,f2078,f2079,f2084,f2085,f2080,f2103,f2095,f2104,f2099,f2101,f2081,f2119,f2107,f2120,f2111,f2121,f2115,f2122,f430,f2126,f2127,f2165,f2167,f2130,f2136,f2169,f2171,f2139,f2140,f2141,f2142,f2173,f2145,f2174,f2147,f2148,f2149,f2150,f2151,f2152,f2175,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f2176,f2132,f2180,f2190,f2177,f2197,f2199,f2134,f2207,f2135,f2219,f2227,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2,f14707,f14708,f14711,f14691,f14692,f14718,f14719,f14713,f14737,f14738,f14414,f14415,f14416,f14706,f14756,f14757,f14745,f14769,f14770,f14758,f14879,f14774,f14775,f14776,f14777,f14778,f14779,f14781,f14782,f14783,f14784,f14785,f14786,f14787,f14788,f14789,f14790,f14791,f14792,f14793,f14794,f14795,f14796,f14880,f14800,f14801,f14802,f14803,f14804,f14805,f14806,f14881,f14882,f14809,f14810,f14811,f14813,f14814,f14815,f14816,f14883,f14818,f14819,f14820,f14821,f14822,f14823,f14824,f14825,f14826,f14827,f14828,f14829,f14884,f14831,f14832,f14834,f14836,f14837,f14838,f14839,f14840,f14841,f14842,f14843,f14846,f14847,f14848,f14849,f14850,f14852,f14853,f14854,f14855,f14856,f14857,f14858,f14859,f14860,f14861,f14862,f14863,f14864,f14865,f14866,f14867,f14868,f14869,f14870,f14871,f14872,f14875,f14876,f14877,f466,f14897,f14898,f14899,f14900,f14901,f14892,f14902,f14903,f14771,f14904,f14905,f14908,f14909,f15379,f15380,f15381,f15382,f15383,f15384,f14925,f14926,f14927,f14928,f14929,f14930,f14931,f14932,f14933,f14934,f14935,f14936,f14937,f14938,f14939,f14940,f14941,f14942,f15385,f14944,f14945,f14946,f14947,f14948,f14949,f14950,f14951,f14952,f15386,f15387,f14955,f14956,f14957,f14958,f14959,f14960,f14961,f14962,f15388,f14964,f14965,f14966,f14967,f14968,f14969,f14970,f14971,f14972,f14973,f14974,f14975,f15389,f14977,f14978,f14979,f14980,f14981,f14982,f14983,f14984,f14985,f14986,f14987,f14988,f14989,f14990,f14991,f14992,f14993,f14994,f14995,f14996,f14997,f14998,f14999,f15000,f15001,f15002,f15003,f15004,f15005,f15006,f15007,f15008,f15009,f15010,f15011,f15012,f15013,f15014,f15015,f15016,f15017,f15018,f15019,f15020,f15021,f15022,f15023,f15391,f15392,f15393,f15394,f15395,f15396,f15037,f15038,f15039,f15040,f15041,f15042,f15043,f15044,f15045,f15046,f15047,f15048,f15049,f15050,f15051,f15052,f15053,f15054,f15397,f15056,f15057,f15058,f15059,f15060,f15061,f15062,f15063,f15064,f15398,f15399,f15067,f15068,f15069,f15070,f15071,f15072,f15073,f15074,f15400,f15076,f15077,f15078,f15079,f15080,f15081,f15082,f15083,f15084,f15085,f15086,f15087,f15401,f15089,f15090,f15091,f15092,f15093,f15094,f15095,f15096,f15097,f15098,f15099,f15100,f15101,f15102,f15103,f15104,f15105,f15106,f15107,f15108,f15109,f15110,f15111,f15112,f15113,f15114,f15115,f15116,f15117,f15118,f15119,f15120,f15121,f15122,f15123,f15124,f15125,f15126,f15127,f15128,f15129,f15130,f15131,f15132,f15133,f15134,f15135,f15402,f15137,f15138,f15139,f15140,f15149,f15150,f15151,f15152,f15153,f15154,f15155,f15156,f15157,f15158,f15159,f15160,f15161,f15162,f15163,f15164,f15165,f15166,f15403,f15168,f15169,f15170,f15171,f15172,f15173,f15174,f15175,f15176,f15404,f15405,f15179,f15180,f15181,f15182,f15183,f15184,f15185,f15186,f15406,f15188,f15189,f15190,f15191,f15192,f15193,f15194,f15195,f15196,f15197,f15198,f15199,f15407,f15201,f15202,f15203,f15204,f15205,f15206,f15207,f15208,f15209,f15210,f15211,f15212,f15213,f15214,f15215,f15216,f15217,f15218,f15219,f15220,f15221,f15222,f15223,f15224,f15225,f15226,f15227,f15228,f15229,f15230,f15231,f15232,f15233,f15234,f15235,f15236,f15237,f15238,f15239,f15240,f15241,f15242,f15243,f15244,f15245,f15246,f15247,f15408,f15249,f15250,f15251,f15252,f15261,f15262,f15263,f15264,f15265,f15266,f15267,f15268,f15269,f15270,f15271,f15272,f15273,f15274,f15275,f15276,f15277,f15278,f15409,f15280,f15281,f15282,f15283,f15284,f15285,f15286,f15287,f15288,f15410,f15411,f15291,f15292,f15293,f15294,f15295,f15296,f15297,f15298,f15412,f15300,f15301,f15302,f15303,f15304,f15305,f15306,f15307,f15308,f15309,f15310,f15311,f15413,f15313,f15314,f15315,f15316,f15317,f15318,f15319,f15320,f15321,f15322,f15323,f15324,f15325,f15326,f15327,f15328,f15329,f15330,f15331,f15332,f15333,f15334,f15335,f15336,f15337,f15338,f15339,f15340,f15341,f15342,f15343,f15344,f15345,f15346,f15347,f15348,f15349,f15350,f15351,f15352,f15353,f15354,f15355,f15356,f15357,f15358,f15359,f14799,f15414,f15415,f15418,f15419,f15433,f14845,f15435,f15436,f15440,f15459,f15461,f15463,f15464,f15466,f14874,f15467,f15468,f15471,f15493,f15495,f15497,f15498,f15500,f14798,f15514,f14812,f15528,f15530,f14833,f14835,f14844,f15563,f15565,f15567,f15569,f14851,f15585,f15586,f468,f15599,f15600,f15601,f15602,f15603,f15594,f15604,f14873,f15625,f15627,f15629,f15631,f15434,f15633,f15634,f15653,f15641,f15642,f15654,f15655,f14780,f474,f15684,f15685,f15686,f15687,f15688,f15679,f15689,f15690,f15659,f15853,f15854,f15855,f15663,f15858])).
% 5.10/1.11 tff(f15846,plain,(
% 5.10/1.11 spl20_1),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15845])).
% 5.10/1.11 tff(f15845,plain,(
% 5.10/1.11 $false | spl20_1),
% 5.10/1.11 inference(subsumption_resolution,[],[f15844,f572])).
% 5.10/1.11 tff(f15844,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | spl20_1),
% 5.10/1.11 inference(forward_demodulation,[],[f15836,f15810])).
% 5.10/1.11 tff(f15810,plain,(
% 5.10/1.11 a = sK18 | spl20_1),
% 5.10/1.11 inference(subsumption_resolution,[],[f15714,f521])).
% 5.10/1.11 tff(f15714,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK19,nil(arrow_411405190le_alt))))) | a = sK18 | spl20_1),
% 5.10/1.11 inference(superposition,[],[f1154,f15670])).
% 5.10/1.11 tff(f15670,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (sK17 = X0 | a = X0) ) | spl20_1),
% 5.10/1.11 inference(trivial_inequality_removal,[],[f15666])).
% 5.10/1.11 tff(f15666,plain,(
% 5.10/1.11 ( ! [X0 : arrow_411405190le_alt] : (a != a | sK17 = X0 | a = X0) ) | spl20_1),
% 5.10/1.11 inference(superposition,[],[f15658,f14771])).
% 5.10/1.11 tff(f15658,plain,(
% 5.10/1.11 a != sK17 | spl20_1),
% 5.10/1.11 inference(avatar_component_clause,[],[f15657])).
% 5.10/1.11 tff(f15836,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt)))) | spl20_1),
% 5.10/1.11 inference(superposition,[],[f1591,f15812])).
% 5.10/1.11 tff(f15812,plain,(
% 5.10/1.11 a = sK19 | spl20_1),
% 5.10/1.11 inference(subsumption_resolution,[],[f15719,f572])).
% 5.10/1.11 tff(f15719,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,insert(arrow_411405190le_alt,sK17,nil(arrow_411405190le_alt)))) | a = sK19 | spl20_1),
% 5.10/1.11 inference(superposition,[],[f1574,f15670])).
% 5.10/1.11 tff(f15843,plain,(
% 5.10/1.11 spl20_1),
% 5.10/1.11 inference(avatar_contradiction_clause,[],[f15842])).
% 5.10/1.11 tff(f15842,plain,(
% 5.10/1.11 $false | spl20_1),
% 5.10/1.11 inference(subsumption_resolution,[],[f15841,f5332])).
% 5.10/1.11 tff(f15841,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))) | spl20_1),
% 5.10/1.11 inference(forward_demodulation,[],[f15833,f15810])).
% 5.10/1.11 tff(f15833,plain,(
% 5.10/1.11 distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK17,cons(arrow_411405190le_alt,sK18,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))) | spl20_1),
% 5.10/1.11 inference(superposition,[],[f1154,f15812])).
% 5.10/1.11 tff(f15664,plain,(
% 5.10/1.11 spl20_1 | spl20_2),
% 5.10/1.11 inference(avatar_split_clause,[],[f14780,f15661,f15657])).
% 5.10/1.11 % SZS output end Proof for theBenchmark
% 5.10/1.11 % (32291)------------------------------
% 5.10/1.11 % (32291)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 5.10/1.11 % (32291)Termination reason: Refutation
% 5.10/1.11
% 5.10/1.11 % (32291)Memory used [KB]: 8247
% 5.10/1.11 % (32291)Time elapsed: 0.694 s
% 5.10/1.11 % (32291)Instructions burned: 2597 (million)
% 5.10/1.11 % (32291)------------------------------
% 5.10/1.11 % (32291)------------------------------
% 5.10/1.11 % (32288)Success in time 0.748 s
%------------------------------------------------------------------------------