TSTP Solution File: PUZ094^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ094^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Sun May 5 08:50:33 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : PUZ094^5 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 18:03:52 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (2957)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (2962)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.32 % (2963)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.32 % (2961)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.32 % (2958)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (2964)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (2960)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.32 % (2959)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (2961)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.32 % (2960)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.32 % Exception at run slice level% Exception at run slice level
% 0.14/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.32
% 0.14/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.32 % Exception at run slice level
% 0.14/0.32 User error: % Exception at run slice level
% 0.14/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.32 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.33 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.33 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.33 % (2965)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.33 % (2967)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.33 % (2968)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.33 % (2966)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.33 % (2967)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.33 % Exception at run slice level
% 0.14/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.33 % (2966)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.33 % Exception at run slice level
% 0.14/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.35 WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.14/0.35 % (2969)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.40 % (2969)First to succeed.
% 0.14/0.40 % (2969)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2957"
% 0.14/0.40 % (2969)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% 0.14/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.40 thf(func_def_0, type, eats: $i > $i > $o).
% 0.14/0.40 thf(func_def_1, type, grain: $i > $o).
% 0.14/0.40 thf(func_def_2, type, animal: $i > $o).
% 0.14/0.40 thf(func_def_3, type, snail: $i > $o).
% 0.14/0.40 thf(func_def_4, type, sf: $i > $i).
% 0.14/0.40 thf(func_def_5, type, plant: $i > $o).
% 0.14/0.40 thf(func_def_6, type, bird: $i > $o).
% 0.14/0.40 thf(func_def_7, type, wolf: $i > $o).
% 0.14/0.40 thf(func_def_8, type, fox: $i > $o).
% 0.14/0.40 thf(func_def_9, type, msmaller: $i > $i > $o).
% 0.14/0.40 thf(func_def_19, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.40 thf(func_def_20, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.40 thf(func_def_21, type, vAND: $o > $o > $o).
% 0.14/0.40 thf(func_def_22, type, vOR: $o > $o > $o).
% 0.14/0.40 thf(func_def_23, type, vIMP: $o > $o > $o).
% 0.14/0.40 thf(func_def_24, type, vNOT: $o > $o).
% 0.14/0.40 thf(func_def_25, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.40 thf(f1299,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(avatar_sat_refutation,[],[f197,f207,f236,f327,f497,f577,f587,f659,f882,f885,f1297])).
% 0.14/0.40 thf(f1297,plain,(
% 0.14/0.40 ~spl0_5 | ~spl0_15),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f1296])).
% 0.14/0.40 thf(f1296,plain,(
% 0.14/0.40 $false | (~spl0_5 | ~spl0_15)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f1294])).
% 0.14/0.40 thf(f1294,plain,(
% 0.14/0.40 ($true = $false) | (~spl0_5 | ~spl0_15)),
% 0.14/0.40 inference(backward_demodulation,[],[f26,f1287])).
% 0.14/0.40 thf(f1287,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,grain,X0) = $false)) ) | (~spl0_5 | ~spl0_15)),
% 0.14/0.40 inference(subsumption_resolution,[],[f1286,f326])).
% 0.14/0.40 thf(f326,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($false = vAPP($i,$o,grain,X1))) ) | ~spl0_15),
% 0.14/0.40 inference(avatar_component_clause,[],[f325])).
% 0.14/0.40 thf(f325,plain,(
% 0.14/0.40 spl0_15 <=> ! [X1] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($false = vAPP($i,$o,grain,X1)))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 0.14/0.40 thf(f1286,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,grain,X0) = $false) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0))) ) | ~spl0_5),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f1284])).
% 0.14/0.40 thf(f1284,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,grain,X0) = $false) | ($true != $true)) ) | ~spl0_5),
% 0.14/0.40 inference(superposition,[],[f1001,f4])).
% 0.14/0.40 thf(f4,plain,(
% 0.14/0.40 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.14/0.40 introduced(fool_axiom,[])).
% 0.14/0.40 thf(f1001,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,grain,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0))) ) | ~spl0_5),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f996])).
% 0.14/0.40 thf(f996,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,grain,X0) != $true) | ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0))) ) | ~spl0_5),
% 0.14/0.40 inference(superposition,[],[f196,f19])).
% 0.14/0.40 thf(f19,plain,(
% 0.14/0.40 ( ! [X14 : $i] : (($true = vAPP($i,$o,plant,X14)) | ($true != vAPP($i,$o,grain,X14))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f8,plain,(
% 0.14/0.40 ! [X0,X1] : ((vAPP($i,$o,bird,X0) != $true) | ($true != vAPP($i,$o,fox,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1))) & ! [X2] : (($true != vAPP($i,$o,wolf,X2)) | ($true = vAPP($i,$o,animal,X2))) & (vAPP($i,$o,grain,a_grain) = $true) & ! [X3] : (($true != vAPP($i,$o,bird,X3)) | (vAPP($i,$o,animal,X3) = $true)) & ! [X4,X5] : (($true != vAPP($i,$o,snail,X5)) | ($true != vAPP($i,$o,bird,X4)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X5),X4))) & ! [X6] : (($true != vAPP($i,$o,snail,X6)) | ($true = vAPP($i,$o,animal,X6))) & ! [X7,X8,X9,X10] : (($true != vAPP($i,$o,plant,X9)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8) = $true) | ($true != vAPP($i,$o,animal,X7)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X10)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9)) | ($true != vAPP($i,$o,plant,X10)) | ($true != vAPP($i,$o,animal,X8)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X8),X7))) & ! [X11,X12] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X11),X12)) | ($true != vAPP($i,$o,grain,X12)) | ($true != vAPP($i,$o,wolf,X11))) & ! [X13] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X13),vAPP($i,$i,sf,X13))) | ($true != vAPP($i,$o,snail,X13))) & ! [X14] : (($true != vAPP($i,$o,grain,X14)) | ($true = vAPP($i,$o,plant,X14))) & (vAPP($i,$o,bird,a_bird) = $true) & ! [X15,X16,X17] : (($true != vAPP($i,$o,grain,X15)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X17),X15)) | ($true != vAPP($i,$o,animal,X17)) | ($true != vAPP($i,$o,animal,X16)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X16),X17))) & (vAPP($i,$o,wolf,a_wolf) = $true) & ! [X18,X19] : (($true != vAPP($i,$o,snail,X19)) | ($true != vAPP($i,$o,bird,X18)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X18),X19))) & (vAPP($i,$o,snail,a_snail) = $true) & ! [X20] : (($true = vAPP($i,$o,animal,X20)) | ($true != vAPP($i,$o,fox,X20))) & (vAPP($i,$o,fox,a_fox) = $true) & ! [X21,X22] : (($true != vAPP($i,$o,wolf,X22)) | ($true != vAPP($i,$o,fox,X21)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X21),X22))) & ! [X23] : (($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X23))) | ($true != vAPP($i,$o,snail,X23))) & ! [X24,X25] : (($true != vAPP($i,$o,fox,X24)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X25),X24)) | ($true != vAPP($i,$o,wolf,X25)))),
% 0.14/0.40 inference(rectify,[],[f7])).
% 0.14/0.40 thf(f7,plain,(
% 0.14/0.40 ! [X24,X25] : (($true != vAPP($i,$o,bird,X24)) | ($true != vAPP($i,$o,fox,X25)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X24),X25))) & ! [X23] : (($true != vAPP($i,$o,wolf,X23)) | ($true = vAPP($i,$o,animal,X23))) & (vAPP($i,$o,grain,a_grain) = $true) & ! [X14] : (($true != vAPP($i,$o,bird,X14)) | ($true = vAPP($i,$o,animal,X14))) & ! [X13,X12] : (($true != vAPP($i,$o,snail,X12)) | ($true != vAPP($i,$o,bird,X13)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X12),X13))) & ! [X21] : (($true != vAPP($i,$o,snail,X21)) | ($true = vAPP($i,$o,animal,X21))) & ! [X8,X6,X7,X9] : (($true != vAPP($i,$o,plant,X7)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X6)) | ($true != vAPP($i,$o,animal,X8)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X7)) | ($true != vAPP($i,$o,plant,X9)) | ($true != vAPP($i,$o,animal,X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X8))) & ! [X17,X18] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X17),X18)) | ($true != vAPP($i,$o,grain,X18)) | ($true != vAPP($i,$o,wolf,X17))) & ! [X5] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,sf,X5))) | ($true != vAPP($i,$o,snail,X5))) & ! [X11] : (($true != vAPP($i,$o,grain,X11)) | ($true = vAPP($i,$o,plant,X11))) & (vAPP($i,$o,bird,a_bird) = $true) & ! [X0,X1,X2] : ((vAPP($i,$o,grain,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0)) | ($true != vAPP($i,$o,animal,X2)) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) != $true)) & (vAPP($i,$o,wolf,a_wolf) = $true) & ! [X19,X20] : (($true != vAPP($i,$o,snail,X20)) | ($true != vAPP($i,$o,bird,X19)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X19),X20))) & (vAPP($i,$o,snail,a_snail) = $true) & ! [X10] : (($true = vAPP($i,$o,animal,X10)) | ($true != vAPP($i,$o,fox,X10))) & (vAPP($i,$o,fox,a_fox) = $true) & ! [X15,X16] : (($true != vAPP($i,$o,wolf,X16)) | ($true != vAPP($i,$o,fox,X15)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16))) & ! [X22] : (($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X22))) | ($true != vAPP($i,$o,snail,X22))) & ! [X4,X3] : (($true != vAPP($i,$o,fox,X4)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) != $true) | ($true != vAPP($i,$o,wolf,X3)))),
% 0.14/0.40 inference(flattening,[],[f6])).
% 0.14/0.40 thf(f6,plain,(
% 0.14/0.40 ~~((vAPP($i,$o,grain,a_grain) = $true) & ! [X0,X1,X2] : (~(vAPP($i,$o,grain,X0) = $true) | ~($true = vAPP($i,$o,animal,X2)) | ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) = $true) | ~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0)) | ~(vAPP($i,$o,animal,X1) = $true)) & ! [X3,X4] : (~(vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) = $true) | ~($true = vAPP($i,$o,wolf,X3)) | ~($true = vAPP($i,$o,fox,X4))) & ! [X5] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,sf,X5))) | ~($true = vAPP($i,$o,snail,X5))) & (vAPP($i,$o,wolf,a_wolf) = $true) & (vAPP($i,$o,bird,a_bird) = $true) & ! [X6,X7,X8,X9] : (~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X8)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X6)) | ~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X7)) | ~($true = vAPP($i,$o,plant,X9)) | ~($true = vAPP($i,$o,plant,X7)) | ~($true = vAPP($i,$o,animal,X8)) | ~($true = vAPP($i,$o,animal,X6))) & ! [X10] : (~($true = vAPP($i,$o,fox,X10)) | ($true = vAPP($i,$o,animal,X10))) & ! [X11] : (~($true = vAPP($i,$o,grain,X11)) | ($true = vAPP($i,$o,plant,X11))) & ! [X12,X13] : (~($true = vAPP($i,$o,bird,X13)) | ~($true = vAPP($i,$o,snail,X12)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X12),X13))) & (vAPP($i,$o,fox,a_fox) = $true) & ! [X14] : (($true = vAPP($i,$o,animal,X14)) | ~($true = vAPP($i,$o,bird,X14))) & ! [X15,X16] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16)) | ~($true = vAPP($i,$o,wolf,X16)) | ~($true = vAPP($i,$o,fox,X15))) & ! [X17,X18] : (~($true = vAPP($i,$o,grain,X18)) | ~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X17),X18)) | ~($true = vAPP($i,$o,wolf,X17))) & ! [X19,X20] : (~($true = vAPP($i,$o,bird,X19)) | ~($true = vAPP($i,$o,snail,X20)) | ~($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X19),X20))) & ! [X21] : (~($true = vAPP($i,$o,snail,X21)) | ($true = vAPP($i,$o,animal,X21))) & ! [X22] : (($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X22))) | ~($true = vAPP($i,$o,snail,X22))) & (vAPP($i,$o,snail,a_snail) = $true) & ! [X23] : (($true = vAPP($i,$o,animal,X23)) | ~($true = vAPP($i,$o,wolf,X23))) & ! [X24,X25] : (~($true = vAPP($i,$o,bird,X24)) | ~($true = vAPP($i,$o,fox,X25)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X24),X25))))),
% 0.14/0.40 inference(fool_elimination,[],[f5])).
% 0.14/0.40 thf(f5,plain,(
% 0.14/0.40 ~~(vAPP($i,$o,grain,a_grain) & ! [X0,X1,X2] : (~vAPP($i,$o,grain,X0) | ~vAPP($i,$o,animal,X2) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X0) | ~vAPP($i,$o,animal,X1)) & ! [X3,X4] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) | ~vAPP($i,$o,wolf,X3) | ~vAPP($i,$o,fox,X4)) & ! [X5] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),vAPP($i,$i,sf,X5)) | ~vAPP($i,$o,snail,X5)) & vAPP($i,$o,wolf,a_wolf) & vAPP($i,$o,bird,a_bird) & ! [X6,X7,X8,X9] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X8) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X6) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X6),X7) | ~vAPP($i,$o,plant,X9) | ~vAPP($i,$o,plant,X7) | ~vAPP($i,$o,animal,X8) | ~vAPP($i,$o,animal,X6)) & ! [X10] : (~vAPP($i,$o,fox,X10) | vAPP($i,$o,animal,X10)) & ! [X11] : (~vAPP($i,$o,grain,X11) | vAPP($i,$o,plant,X11)) & ! [X12,X13] : (~vAPP($i,$o,bird,X13) | ~vAPP($i,$o,snail,X12) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X12),X13)) & vAPP($i,$o,fox,a_fox) & ! [X14] : (vAPP($i,$o,animal,X14) | ~vAPP($i,$o,bird,X14)) & ! [X15,X16] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X15),X16) | ~vAPP($i,$o,wolf,X16) | ~vAPP($i,$o,fox,X15)) & ! [X17,X18] : (~vAPP($i,$o,grain,X18) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X17),X18) | ~vAPP($i,$o,wolf,X17)) & ! [X19,X20] : (~vAPP($i,$o,bird,X19) | ~vAPP($i,$o,snail,X20) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X19),X20)) & ! [X21] : (~vAPP($i,$o,snail,X21) | vAPP($i,$o,animal,X21)) & ! [X22] : (vAPP($i,$o,plant,vAPP($i,$i,sf,X22)) | ~vAPP($i,$o,snail,X22)) & vAPP($i,$o,snail,a_snail) & ! [X23] : (vAPP($i,$o,animal,X23) | ~vAPP($i,$o,wolf,X23)) & ! [X24,X25] : (~vAPP($i,$o,bird,X24) | ~vAPP($i,$o,fox,X25) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X24),X25)))),
% 0.14/0.40 inference(rectify,[],[f2])).
% 0.14/0.40 thf(f2,negated_conjecture,(
% 0.14/0.40 ~~(vAPP($i,$o,grain,a_grain) & ! [X8,X1,X9] : (~vAPP($i,$o,grain,X8) | ~vAPP($i,$o,animal,X9) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X9) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X9),X8) | ~vAPP($i,$o,animal,X1)) & ! [X7,X6] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X6) | ~vAPP($i,$o,wolf,X7) | ~vAPP($i,$o,fox,X6)) & ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3)) | ~vAPP($i,$o,snail,X3)) & vAPP($i,$o,wolf,a_wolf) & vAPP($i,$o,bird,a_bird) & ! [X3,X4,X1,X2] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) | ~vAPP($i,$o,plant,X2) | ~vAPP($i,$o,plant,X4) | ~vAPP($i,$o,animal,X1) | ~vAPP($i,$o,animal,X3)) & ! [X0] : (~vAPP($i,$o,fox,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,grain,X0) | vAPP($i,$o,plant,X0)) & ! [X3,X5] : (~vAPP($i,$o,bird,X5) | ~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X5)) & vAPP($i,$o,fox,a_fox) & ! [X0] : (vAPP($i,$o,animal,X0) | ~vAPP($i,$o,bird,X0)) & ! [X6,X7] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X7) | ~vAPP($i,$o,wolf,X7) | ~vAPP($i,$o,fox,X6)) & ! [X7,X8] : (~vAPP($i,$o,grain,X8) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8) | ~vAPP($i,$o,wolf,X7)) & ! [X5,X3] : (~vAPP($i,$o,bird,X5) | ~vAPP($i,$o,snail,X3) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),X3)) & ! [X0] : (~vAPP($i,$o,snail,X0) | vAPP($i,$o,animal,X0)) & ! [X3] : (vAPP($i,$o,plant,vAPP($i,$i,sf,X3)) | ~vAPP($i,$o,snail,X3)) & vAPP($i,$o,snail,a_snail) & ! [X0] : (vAPP($i,$o,animal,X0) | ~vAPP($i,$o,wolf,X0)) & ! [X5,X6] : (~vAPP($i,$o,bird,X5) | ~vAPP($i,$o,fox,X6) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X5),X6)))),
% 0.14/0.40 inference(negated_conjecture,[],[f1])).
% 0.14/0.40 thf(f1,conjecture,(
% 0.14/0.40 ~(vAPP($i,$o,grain,a_grain) & ! [X8,X1,X9] : (~vAPP($i,$o,grain,X8) | ~vAPP($i,$o,animal,X9) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X9) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X9),X8) | ~vAPP($i,$o,animal,X1)) & ! [X7,X6] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X6) | ~vAPP($i,$o,wolf,X7) | ~vAPP($i,$o,fox,X6)) & ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),vAPP($i,$i,sf,X3)) | ~vAPP($i,$o,snail,X3)) & vAPP($i,$o,wolf,a_wolf) & vAPP($i,$o,bird,a_bird) & ! [X3,X4,X1,X2] : (~vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X2) | vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X3),X4) | ~vAPP($i,$o,plant,X2) | ~vAPP($i,$o,plant,X4) | ~vAPP($i,$o,animal,X1) | ~vAPP($i,$o,animal,X3)) & ! [X0] : (~vAPP($i,$o,fox,X0) | vAPP($i,$o,animal,X0)) & ! [X0] : (~vAPP($i,$o,grain,X0) | vAPP($i,$o,plant,X0)) & ! [X3,X5] : (~vAPP($i,$o,bird,X5) | ~vAPP($i,$o,snail,X3) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X3),X5)) & vAPP($i,$o,fox,a_fox) & ! [X0] : (vAPP($i,$o,animal,X0) | ~vAPP($i,$o,bird,X0)) & ! [X6,X7] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X6),X7) | ~vAPP($i,$o,wolf,X7) | ~vAPP($i,$o,fox,X6)) & ! [X7,X8] : (~vAPP($i,$o,grain,X8) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8) | ~vAPP($i,$o,wolf,X7)) & ! [X5,X3] : (~vAPP($i,$o,bird,X5) | ~vAPP($i,$o,snail,X3) | ~vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X5),X3)) & ! [X0] : (~vAPP($i,$o,snail,X0) | vAPP($i,$o,animal,X0)) & ! [X3] : (vAPP($i,$o,plant,vAPP($i,$i,sf,X3)) | ~vAPP($i,$o,snail,X3)) & vAPP($i,$o,snail,a_snail) & ! [X0] : (vAPP($i,$o,animal,X0) | ~vAPP($i,$o,wolf,X0)) & ! [X5,X6] : (~vAPP($i,$o,bird,X5) | ~vAPP($i,$o,fox,X6) | vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X5),X6)))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPUZ031_2)).
% 0.14/0.40 thf(f196,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true != vAPP($i,$o,plant,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1))) ) | ~spl0_5),
% 0.14/0.40 inference(avatar_component_clause,[],[f195])).
% 0.14/0.40 thf(f195,plain,(
% 0.14/0.40 spl0_5 <=> ! [X1] : (($true != vAPP($i,$o,plant,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.14/0.40 thf(f26,plain,(
% 0.14/0.40 (vAPP($i,$o,grain,a_grain) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f885,plain,(
% 0.14/0.40 ~spl0_4),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f884])).
% 0.14/0.40 thf(f884,plain,(
% 0.14/0.40 $false | ~spl0_4),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f883])).
% 0.14/0.40 thf(f883,plain,(
% 0.14/0.40 ($true = $false) | ~spl0_4),
% 0.14/0.40 inference(forward_demodulation,[],[f193,f270])).
% 0.14/0.40 thf(f270,plain,(
% 0.14/0.40 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f267])).
% 0.14/0.40 thf(f267,plain,(
% 0.14/0.40 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 0.14/0.40 inference(superposition,[],[f255,f18])).
% 0.14/0.40 thf(f18,plain,(
% 0.14/0.40 (vAPP($i,$o,bird,a_bird) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f255,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,bird,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_snail))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f251])).
% 0.14/0.40 thf(f251,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_snail)) | ($true != $true) | (vAPP($i,$o,bird,X0) != $true)) )),
% 0.14/0.40 inference(superposition,[],[f134,f14])).
% 0.14/0.40 thf(f14,plain,(
% 0.14/0.40 (vAPP($i,$o,snail,a_snail) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f134,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,snail,X1)) | (vAPP($i,$o,bird,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f132])).
% 0.14/0.40 thf(f132,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X1)) | (vAPP($i,$o,bird,X0) != $true) | ($true != vAPP($i,$o,snail,X1)) | ($true != $true)) )),
% 0.14/0.40 inference(superposition,[],[f15,f4])).
% 0.14/0.40 thf(f15,plain,(
% 0.14/0.40 ( ! [X18 : $i,X19 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X18),X19)) | ($true != vAPP($i,$o,bird,X18)) | ($true != vAPP($i,$o,snail,X19))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f193,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ~spl0_4),
% 0.14/0.40 inference(avatar_component_clause,[],[f191])).
% 0.14/0.40 thf(f191,plain,(
% 0.14/0.40 spl0_4 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.14/0.40 thf(f882,plain,(
% 0.14/0.40 ~spl0_7),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f881])).
% 0.14/0.40 thf(f881,plain,(
% 0.14/0.40 $false | ~spl0_7),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f880])).
% 0.14/0.40 thf(f880,plain,(
% 0.14/0.40 ($true = $false) | ~spl0_7),
% 0.14/0.40 inference(forward_demodulation,[],[f877,f169])).
% 0.14/0.40 thf(f169,plain,(
% 0.14/0.40 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_grain))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f165])).
% 0.14/0.40 thf(f165,plain,(
% 0.14/0.40 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_grain)) | ($true != $true)),
% 0.14/0.40 inference(superposition,[],[f144,f16])).
% 0.14/0.40 thf(f16,plain,(
% 0.14/0.40 (vAPP($i,$o,wolf,a_wolf) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f144,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,wolf,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_grain))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f143])).
% 0.14/0.40 thf(f143,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,wolf,X0) != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_grain)) | ($true != $true)) )),
% 0.14/0.40 inference(superposition,[],[f138,f4])).
% 0.14/0.40 thf(f138,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_grain)) | (vAPP($i,$o,wolf,X0) != $true)) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f135])).
% 0.14/0.40 thf(f135,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,wolf,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_grain)) | ($true != $true)) )),
% 0.14/0.40 inference(superposition,[],[f21,f26])).
% 0.14/0.40 thf(f21,plain,(
% 0.14/0.40 ( ! [X11 : $i,X12 : $i] : (($true != vAPP($i,$o,grain,X12)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X11),X12)) | ($true != vAPP($i,$o,wolf,X11))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f877,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_grain)) | ~spl0_7),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f874])).
% 0.14/0.40 thf(f874,plain,(
% 0.14/0.40 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),a_grain)) | ~spl0_7),
% 0.14/0.40 inference(superposition,[],[f616,f26])).
% 0.14/0.40 thf(f616,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,grain,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0))) ) | ~spl0_7),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f612])).
% 0.14/0.40 thf(f612,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0)) | ($true != $true) | (vAPP($i,$o,grain,X0) != $true)) ) | ~spl0_7),
% 0.14/0.40 inference(superposition,[],[f611,f19])).
% 0.14/0.40 thf(f611,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,plant,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0))) ) | ~spl0_7),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f607])).
% 0.14/0.40 thf(f607,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,plant,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_wolf),X0))) ) | ~spl0_7),
% 0.14/0.40 inference(superposition,[],[f206,f16])).
% 0.14/0.40 thf(f206,plain,(
% 0.14/0.40 ( ! [X3 : $i,X1 : $i] : (($true != vAPP($i,$o,wolf,X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true) | ($true != vAPP($i,$o,plant,X3))) ) | ~spl0_7),
% 0.14/0.40 inference(avatar_component_clause,[],[f205])).
% 0.14/0.40 thf(f205,plain,(
% 0.14/0.40 spl0_7 <=> ! [X1,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true) | ($true != vAPP($i,$o,wolf,X1)) | ($true != vAPP($i,$o,plant,X3)))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.14/0.40 thf(f659,plain,(
% 0.14/0.40 ~spl0_10 | ~spl0_14),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f658])).
% 0.14/0.40 thf(f658,plain,(
% 0.14/0.40 $false | (~spl0_10 | ~spl0_14)),
% 0.14/0.40 inference(subsumption_resolution,[],[f656,f60])).
% 0.14/0.40 thf(f60,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,animal,a_fox))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f57])).
% 0.14/0.40 thf(f57,plain,(
% 0.14/0.40 ($true != $true) | ($true = vAPP($i,$o,animal,a_fox))),
% 0.14/0.40 inference(superposition,[],[f13,f12])).
% 0.14/0.40 thf(f12,plain,(
% 0.14/0.40 (vAPP($i,$o,fox,a_fox) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f13,plain,(
% 0.14/0.40 ( ! [X20 : $i] : (($true != vAPP($i,$o,fox,X20)) | ($true = vAPP($i,$o,animal,X20))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f656,plain,(
% 0.14/0.40 ($true != vAPP($i,$o,animal,a_fox)) | (~spl0_10 | ~spl0_14)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f648])).
% 0.14/0.40 thf(f648,plain,(
% 0.14/0.40 ($true != vAPP($i,$o,animal,a_fox)) | ($true != $true) | (~spl0_10 | ~spl0_14)),
% 0.14/0.40 inference(superposition,[],[f323,f235])).
% 0.14/0.40 thf(f235,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ~spl0_10),
% 0.14/0.40 inference(avatar_component_clause,[],[f233])).
% 0.14/0.40 thf(f233,plain,(
% 0.14/0.40 spl0_10 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.14/0.40 thf(f323,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | (vAPP($i,$o,animal,X0) != $true)) ) | ~spl0_14),
% 0.14/0.40 inference(avatar_component_clause,[],[f322])).
% 0.14/0.40 thf(f322,plain,(
% 0.14/0.40 spl0_14 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | (vAPP($i,$o,animal,X0) != $true))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 0.14/0.40 thf(f587,plain,(
% 0.14/0.40 ~spl0_5 | ~spl0_9),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f586])).
% 0.14/0.40 thf(f586,plain,(
% 0.14/0.40 $false | (~spl0_5 | ~spl0_9)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f582])).
% 0.14/0.40 thf(f582,plain,(
% 0.14/0.40 ($true != $true) | (~spl0_5 | ~spl0_9)),
% 0.14/0.40 inference(superposition,[],[f580,f76])).
% 0.14/0.40 thf(f76,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail)))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f73])).
% 0.14/0.40 thf(f73,plain,(
% 0.14/0.40 ($true != $true) | ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail)))),
% 0.14/0.40 inference(superposition,[],[f10,f14])).
% 0.14/0.40 thf(f10,plain,(
% 0.14/0.40 ( ! [X23 : $i] : (($true != vAPP($i,$o,snail,X23)) | ($true = vAPP($i,$o,plant,vAPP($i,$i,sf,X23)))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f580,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,plant,X0) != $true)) ) | (~spl0_5 | ~spl0_9)),
% 0.14/0.40 inference(subsumption_resolution,[],[f231,f196])).
% 0.14/0.40 thf(f231,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,plant,X0) != $true)) ) | ~spl0_9),
% 0.14/0.40 inference(avatar_component_clause,[],[f230])).
% 0.14/0.40 thf(f230,plain,(
% 0.14/0.40 spl0_9 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,plant,X0) != $true))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 0.14/0.40 thf(f577,plain,(
% 0.14/0.40 ~spl0_6 | ~spl0_8),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f576])).
% 0.14/0.40 thf(f576,plain,(
% 0.14/0.40 $false | (~spl0_6 | ~spl0_8)),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f572])).
% 0.14/0.40 thf(f572,plain,(
% 0.14/0.40 ($true != $true) | (~spl0_6 | ~spl0_8)),
% 0.14/0.40 inference(superposition,[],[f560,f76])).
% 0.14/0.40 thf(f560,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true != vAPP($i,$o,plant,X1))) ) | (~spl0_6 | ~spl0_8)),
% 0.14/0.40 inference(subsumption_resolution,[],[f228,f307])).
% 0.14/0.40 thf(f307,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X0)) | (vAPP($i,$o,plant,X0) != $true)) ) | ~spl0_6),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f302])).
% 0.14/0.40 thf(f302,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,plant,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X0)) | ($true != $true)) ) | ~spl0_6),
% 0.14/0.40 inference(superposition,[],[f203,f12])).
% 0.14/0.40 thf(f203,plain,(
% 0.14/0.40 ( ! [X2 : $i,X0 : $i] : ((vAPP($i,$o,fox,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2)) | (vAPP($i,$o,plant,X2) != $true)) ) | ~spl0_6),
% 0.14/0.40 inference(avatar_component_clause,[],[f202])).
% 0.14/0.40 thf(f202,plain,(
% 0.14/0.40 spl0_6 <=> ! [X2,X0] : ((vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,fox,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2)))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 0.14/0.40 thf(f228,plain,(
% 0.14/0.40 ( ! [X1 : $i] : (($true != vAPP($i,$o,plant,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1))) ) | ~spl0_8),
% 0.14/0.40 inference(avatar_component_clause,[],[f227])).
% 0.14/0.40 thf(f227,plain,(
% 0.14/0.40 spl0_8 <=> ! [X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | ($true != vAPP($i,$o,plant,X1)))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 0.14/0.40 thf(f497,plain,(
% 0.14/0.40 ~spl0_3),
% 0.14/0.40 inference(avatar_contradiction_clause,[],[f496])).
% 0.14/0.40 thf(f496,plain,(
% 0.14/0.40 $false | ~spl0_3),
% 0.14/0.40 inference(subsumption_resolution,[],[f495,f76])).
% 0.14/0.40 thf(f495,plain,(
% 0.14/0.40 ($true != vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail))) | ~spl0_3),
% 0.14/0.40 inference(subsumption_resolution,[],[f493,f14])).
% 0.14/0.40 thf(f493,plain,(
% 0.14/0.40 (vAPP($i,$o,snail,a_snail) != $true) | ($true != vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail))) | ~spl0_3),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f491])).
% 0.14/0.40 thf(f491,plain,(
% 0.14/0.40 ($true != vAPP($i,$o,plant,vAPP($i,$i,sf,a_snail))) | ($true != $true) | (vAPP($i,$o,snail,a_snail) != $true) | ~spl0_3),
% 0.14/0.40 inference(superposition,[],[f189,f20])).
% 0.14/0.40 thf(f20,plain,(
% 0.14/0.40 ( ! [X13 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X13),vAPP($i,$i,sf,X13))) | ($true != vAPP($i,$o,snail,X13))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f189,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),X0)) | (vAPP($i,$o,plant,X0) != $true)) ) | ~spl0_3),
% 0.14/0.40 inference(avatar_component_clause,[],[f188])).
% 0.14/0.40 thf(f188,plain,(
% 0.14/0.40 spl0_3 <=> ! [X0] : ((vAPP($i,$o,plant,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),X0)))),
% 0.14/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.14/0.40 thf(f327,plain,(
% 0.14/0.40 spl0_14 | spl0_15),
% 0.14/0.40 inference(avatar_split_clause,[],[f319,f325,f322])).
% 0.14/0.40 thf(f319,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | (vAPP($i,$o,animal,X0) != $true) | ($false = vAPP($i,$o,grain,X1))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f312])).
% 0.14/0.40 thf(f312,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,animal,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),a_bird)) | ($false = vAPP($i,$o,grain,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1))) )),
% 0.14/0.40 inference(superposition,[],[f177,f67])).
% 0.14/0.40 thf(f67,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,animal,a_bird))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f65])).
% 0.14/0.40 thf(f65,plain,(
% 0.14/0.40 ($true != $true) | ($true = vAPP($i,$o,animal,a_bird))),
% 0.14/0.40 inference(superposition,[],[f25,f18])).
% 0.14/0.40 thf(f25,plain,(
% 0.14/0.40 ( ! [X3 : $i] : (($true != vAPP($i,$o,bird,X3)) | (vAPP($i,$o,animal,X3) = $true)) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f177,plain,(
% 0.14/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,animal,X1) != $true) | ($true != vAPP($i,$o,animal,X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X1)) | (vAPP($i,$o,grain,X0) = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f176])).
% 0.14/0.40 thf(f176,plain,(
% 0.14/0.40 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X2),X1)) | ($true != $true) | ($true != vAPP($i,$o,animal,X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | (vAPP($i,$o,grain,X0) = $false) | (vAPP($i,$o,animal,X1) != $true)) )),
% 0.14/0.40 inference(superposition,[],[f17,f4])).
% 0.14/0.40 thf(f17,plain,(
% 0.14/0.40 ( ! [X16 : $i,X17 : $i,X15 : $i] : (($true != vAPP($i,$o,grain,X15)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X17),X15)) | ($true != vAPP($i,$o,animal,X16)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X16),X17)) | ($true != vAPP($i,$o,animal,X17))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f236,plain,(
% 0.14/0.40 spl0_8 | spl0_9 | spl0_10),
% 0.14/0.40 inference(avatar_split_clause,[],[f225,f233,f230,f227])).
% 0.14/0.40 thf(f225,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ($true != vAPP($i,$o,plant,X1)) | (vAPP($i,$o,plant,X0) != $true)) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f224,f67])).
% 0.14/0.40 thf(f224,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | (vAPP($i,$o,plant,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | ($true != vAPP($i,$o,animal,a_bird)) | ($true != vAPP($i,$o,plant,X1))) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f223,f60])).
% 0.14/0.40 thf(f223,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ($true != vAPP($i,$o,animal,a_fox)) | ($true != vAPP($i,$o,animal,a_bird)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1)) | (vAPP($i,$o,plant,X0) != $true) | ($true != vAPP($i,$o,plant,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f222])).
% 0.14/0.40 thf(f222,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),a_bird)) | ($true != vAPP($i,$o,animal,a_bird)) | ($true != vAPP($i,$o,plant,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X0)) | (vAPP($i,$o,plant,X0) != $true) | ($true != vAPP($i,$o,animal,a_fox)) | ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_fox),X1))) )),
% 0.14/0.40 inference(superposition,[],[f22,f218])).
% 0.14/0.40 thf(f218,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),a_fox))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f213])).
% 0.14/0.40 thf(f213,plain,(
% 0.14/0.40 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),a_fox))),
% 0.14/0.40 inference(superposition,[],[f174,f12])).
% 0.14/0.40 thf(f174,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,fox,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),X0))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f170])).
% 0.14/0.40 thf(f170,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_bird),X0)) | ($true != $true) | (vAPP($i,$o,fox,X0) != $true)) )),
% 0.14/0.40 inference(superposition,[],[f28,f18])).
% 0.14/0.40 thf(f28,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,bird,X0) != $true) | ($true != vAPP($i,$o,fox,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),X1))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f22,plain,(
% 0.14/0.40 ( ! [X10 : $i,X8 : $i,X9 : $i,X7 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X8),X7)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X8) = $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X8),X9)) | ($true != vAPP($i,$o,animal,X7)) | ($true != vAPP($i,$o,plant,X9)) | ($true != vAPP($i,$o,animal,X8)) | ($true != vAPP($i,$o,plant,X10)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X7),X10))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f207,plain,(
% 0.14/0.40 spl0_6 | spl0_7),
% 0.14/0.40 inference(avatar_split_clause,[],[f200,f205,f202])).
% 0.14/0.40 thf(f200,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true) | (vAPP($i,$o,plant,X2) != $true) | ($true != vAPP($i,$o,plant,X3)) | ($true != vAPP($i,$o,wolf,X1)) | (vAPP($i,$o,fox,X0) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2))) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f199,f9])).
% 0.14/0.40 thf(f9,plain,(
% 0.14/0.40 ( ! [X24 : $i,X25 : $i] : (($true != vAPP($i,$o,wolf,X25)) | ($true != vAPP($i,$o,fox,X24)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X25),X24))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f199,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2)) | (vAPP($i,$o,fox,X0) != $true) | ($true != vAPP($i,$o,plant,X3)) | ($true != vAPP($i,$o,wolf,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true)) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f198,f13])).
% 0.14/0.40 thf(f198,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,animal,X0) != $true) | ($true != vAPP($i,$o,plant,X3)) | ($true != vAPP($i,$o,wolf,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2)) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,fox,X0) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true)) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f182,f27])).
% 0.14/0.40 thf(f27,plain,(
% 0.14/0.40 ( ! [X2 : $i] : (($true != vAPP($i,$o,wolf,X2)) | ($true = vAPP($i,$o,animal,X2))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f182,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true) | (vAPP($i,$o,animal,X1) != $true) | (vAPP($i,$o,animal,X0) != $true) | (vAPP($i,$o,fox,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true != vAPP($i,$o,plant,X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2)) | ($true != vAPP($i,$o,wolf,X1)) | (vAPP($i,$o,plant,X2) != $true)) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f179])).
% 0.14/0.40 thf(f179,plain,(
% 0.14/0.40 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X3) = $true) | (vAPP($i,$o,animal,X0) != $true) | (vAPP($i,$o,fox,X0) != $true) | (vAPP($i,$o,plant,X2) != $true) | (vAPP($i,$o,animal,X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X1),X0)) | ($true != vAPP($i,$o,wolf,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,X0),X2)) | ($true != vAPP($i,$o,plant,X3))) )),
% 0.14/0.40 inference(superposition,[],[f22,f11])).
% 0.14/0.40 thf(f11,plain,(
% 0.14/0.40 ( ! [X21 : $i,X22 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X21),X22)) | ($true != vAPP($i,$o,wolf,X22)) | ($true != vAPP($i,$o,fox,X21))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f197,plain,(
% 0.14/0.40 spl0_3 | spl0_4 | spl0_5),
% 0.14/0.40 inference(avatar_split_clause,[],[f186,f195,f191,f188])).
% 0.14/0.40 thf(f186,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,plant,X1)) | (vAPP($i,$o,plant,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1))) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f185,f64])).
% 0.14/0.40 thf(f64,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,animal,a_snail))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f61])).
% 0.14/0.40 thf(f61,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,animal,a_snail)) | ($true != $true)),
% 0.14/0.40 inference(superposition,[],[f23,f14])).
% 0.14/0.40 thf(f23,plain,(
% 0.14/0.40 ( ! [X6 : $i] : (($true != vAPP($i,$o,snail,X6)) | ($true = vAPP($i,$o,animal,X6))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 thf(f185,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,plant,X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),X0)) | (vAPP($i,$o,plant,X0) != $true) | ($true != vAPP($i,$o,animal,a_snail))) )),
% 0.14/0.40 inference(subsumption_resolution,[],[f183,f67])).
% 0.14/0.40 thf(f183,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),X0)) | ($true != vAPP($i,$o,plant,X1)) | ($true != vAPP($i,$o,animal,a_bird)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ($true != vAPP($i,$o,animal,a_snail)) | (vAPP($i,$o,plant,X0) != $true)) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f180])).
% 0.14/0.40 thf(f180,plain,(
% 0.14/0.40 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),X1)) | ($true != vAPP($i,$o,animal,a_bird)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_snail),X0)) | (vAPP($i,$o,plant,X0) != $true) | ($true != vAPP($i,$o,plant,X1)) | ($true != vAPP($i,$o,animal,a_snail)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),eats,a_bird),a_snail)) | ($true != $true)) )),
% 0.14/0.40 inference(superposition,[],[f22,f164])).
% 0.14/0.40 thf(f164,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),a_bird))),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f160])).
% 0.14/0.40 thf(f160,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,a_snail),a_bird)) | ($true != $true)),
% 0.14/0.40 inference(superposition,[],[f158,f14])).
% 0.14/0.40 thf(f158,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,snail,X0) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird))) )),
% 0.14/0.40 inference(trivial_inequality_removal,[],[f155])).
% 0.14/0.40 thf(f155,plain,(
% 0.14/0.40 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X0),a_bird)) | (vAPP($i,$o,snail,X0) != $true) | ($true != $true)) )),
% 0.14/0.40 inference(superposition,[],[f24,f18])).
% 0.14/0.40 thf(f24,plain,(
% 0.14/0.40 ( ! [X4 : $i,X5 : $i] : (($true != vAPP($i,$o,bird,X4)) | ($true != vAPP($i,$o,snail,X5)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),msmaller,X5),X4))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f8])).
% 0.14/0.40 % SZS output end Proof for theBenchmark
% 0.14/0.40 % (2969)------------------------------
% 0.14/0.40 % (2969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (2969)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (2969)Memory used [KB]: 1122
% 0.14/0.40 % (2969)Time elapsed: 0.054 s
% 0.14/0.40 % (2969)Instructions burned: 108 (million)
% 0.14/0.40 % (2957)Success in time 0.096 s
%------------------------------------------------------------------------------