TSTP Solution File: PUZ081^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ081^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 08:50:30 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ081^1 : TPTP v8.1.2. Released v3.6.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 18:04:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (18664)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (18668)WARNING: value z3 for option sas not known
% 0.14/0.36 % (18668)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)
% 0.14/0.37 % (18666)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (18667)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (18669)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (18670)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)
% 0.14/0.37 % (18671)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)
% 0.14/0.37 % (18673)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)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (18673)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % Exception at run slice level% Exception at run slice level
% 0.14/0.37
% 0.14/0.37 User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37
% 0.14/0.37 % (18668)First to succeed.
% 0.14/0.37 % (18668)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18664"
% 0.14/0.37 % (18668)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% 0.14/0.37 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.37 thf(func_def_3, type, says: $i > $o > $o).
% 0.14/0.37 thf(func_def_6, type, is_a: $i > $i > $o).
% 0.14/0.37 thf(func_def_10, type, vNOT: $o > $o).
% 0.14/0.37 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.14/0.37 thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.37 thf(func_def_14, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.37 thf(func_def_15, type, vAND: $o > $o > $o).
% 0.14/0.37 thf(func_def_16, type, vIMP: $o > $o > $o).
% 0.14/0.37 thf(func_def_17, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.37 thf(f291,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(avatar_sat_refutation,[],[f96,f116,f180,f183,f186,f189,f192,f195,f200,f203,f227,f230,f233,f236,f239,f241,f243,f246,f248,f250,f252,f254,f256,f258,f260,f262,f264,f266,f268,f270,f272,f274,f276,f278,f280,f282,f284,f286,f288,f290])).
% 0.14/0.37 thf(f290,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f289])).
% 0.14/0.37 thf(f289,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f86,f54,f53,f55,f41,f114,f90])).
% 0.14/0.37 thf(f90,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | ~spl0_2),
% 0.14/0.37 inference(avatar_component_clause,[],[f89])).
% 0.14/0.37 thf(f89,plain,(
% 0.14/0.37 spl0_2 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight))),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.14/0.37 thf(f114,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) = $true) | ~spl0_5),
% 0.14/0.37 inference(avatar_component_clause,[],[f113])).
% 0.14/0.37 thf(f113,plain,(
% 0.14/0.37 spl0_5 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.14/0.37 thf(f41,plain,(
% 0.14/0.37 (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave)) = $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f22])).
% 0.14/0.37 thf(f22,plain,(
% 0.14/0.37 (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave)) = $true)),
% 0.14/0.37 inference(fool_elimination,[],[f21])).
% 0.14/0.37 thf(f21,plain,(
% 0.14/0.37 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave))),
% 0.14/0.37 inference(rectify,[],[f5])).
% 0.14/0.37 thf(f5,axiom,(
% 0.14/0.37 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_5)).
% 0.14/0.37 thf(f55,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | (knight = knave)),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f44])).
% 0.14/0.37 thf(f44,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | (knight = knave) | (knight = knave)),
% 0.14/0.37 inference(equality_resolution,[],[f43])).
% 0.14/0.37 thf(f43,plain,(
% 0.14/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knight = knave) | (knight = X0) | (knave != X0)) )),
% 0.14/0.37 inference(equality_resolution,[],[f35])).
% 0.14/0.37 thf(f35,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knight = X1) | (knave != X1) | (knight = X0) | (knave != X0)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f31])).
% 0.14/0.37 thf(f31,plain,(
% 0.14/0.37 ! [X0,X1] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (((knight = X1) | (knave != X1)) & ((knave = X1) | (knight != X1))) | (((knight = X0) | (knave != X0)) & ((knave = X0) | (knight != X0))))),
% 0.14/0.37 inference(nnf_transformation,[],[f26])).
% 0.14/0.37 thf(f26,plain,(
% 0.14/0.37 ! [X0,X1] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | ((knight = X1) <=> (knave = X1)) | ((knight = X0) <=> (knave = X0)))),
% 0.14/0.37 inference(ennf_transformation,[],[f12])).
% 0.14/0.37 thf(f12,plain,(
% 0.14/0.37 ~? [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) & ((knight = X1) <~> (knave = X1)) & ((knight = X0) <~> (knave = X0)))),
% 0.14/0.37 inference(fool_elimination,[],[f11])).
% 0.14/0.37 thf(f11,plain,(
% 0.14/0.37 ~? [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0) & ((knight = X1) <~> (knave = X1)) & ((knight = X0) <~> (knave = X0)))),
% 0.14/0.37 inference(rectify,[],[f8])).
% 0.14/0.37 thf(f8,negated_conjecture,(
% 0.14/0.37 ~? [X2,X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X2) & ((knight = X3) <~> (knave = X3)) & ((knight = X2) <~> (knave = X2)))),
% 0.14/0.37 inference(negated_conjecture,[],[f7])).
% 0.14/0.37 thf(f7,conjecture,(
% 0.14/0.37 ? [X2,X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X2) & ((knight = X3) <~> (knave = X3)) & ((knight = X2) <~> (knave = X2)))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query)).
% 0.14/0.37 thf(f53,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | (knight = knave)),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f48])).
% 0.14/0.37 thf(f48,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | (knight = knave) | (knight = knave)),
% 0.14/0.37 inference(equality_resolution,[],[f47])).
% 0.14/0.37 thf(f47,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knight = knave) | (knight = X0) | (knave != X0)) )),
% 0.14/0.37 inference(equality_resolution,[],[f33])).
% 0.14/0.37 thf(f33,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knave = X1) | (knight != X1) | (knight = X0) | (knave != X0)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f31])).
% 0.14/0.37 thf(f54,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (knight = knave)),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f46])).
% 0.14/0.37 thf(f46,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (knight = knave) | (knight = knave)),
% 0.14/0.37 inference(equality_resolution,[],[f45])).
% 0.14/0.37 thf(f45,plain,(
% 0.14/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knight = knave) | (knave = X0) | (knight != X0)) )),
% 0.14/0.37 inference(equality_resolution,[],[f34])).
% 0.14/0.37 thf(f34,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knight = X1) | (knave != X1) | (knave = X0) | (knight != X0)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f31])).
% 0.14/0.37 thf(f86,plain,(
% 0.14/0.37 (knight != knave) | spl0_1),
% 0.14/0.37 inference(avatar_component_clause,[],[f85])).
% 0.14/0.37 thf(f85,plain,(
% 0.14/0.37 spl0_1 <=> (knight = knave)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.14/0.37 thf(f38,plain,(
% 0.14/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),islander) != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f28])).
% 0.14/0.37 thf(f28,plain,(
% 0.14/0.37 ! [X0] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),islander) != $true))),
% 0.14/0.37 inference(flattening,[],[f27])).
% 0.14/0.37 thf(f27,plain,(
% 0.14/0.37 ! [X0] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) = $true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),islander) != $true))),
% 0.14/0.37 inference(ennf_transformation,[],[f16])).
% 0.14/0.37 thf(f16,plain,(
% 0.14/0.37 ! [X0] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),islander) = $true) => ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) = $true)))),
% 0.14/0.37 inference(fool_elimination,[],[f15])).
% 0.14/0.37 thf(f15,plain,(
% 0.14/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),islander) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) | vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight)))),
% 0.14/0.37 inference(rectify,[],[f1])).
% 0.14/0.37 thf(f1,axiom,(
% 0.14/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),islander) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) | vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight)))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_1)).
% 0.14/0.37 thf(f135,plain,(
% 0.14/0.37 ( ! [X0 : $o,X1 : $i] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X1),knave)) | ($false = X0)) )),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f134])).
% 0.14/0.37 thf(f134,plain,(
% 0.14/0.37 ( ! [X0 : $o,X1 : $i] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X1),knave)) | ($false = X0) | ($false = X0)) )),
% 0.14/0.37 inference(binary_proxy_clausification,[],[f128])).
% 0.14/0.37 thf(f128,plain,(
% 0.14/0.37 ( ! [X0 : $o,X1 : $i] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X1),X0) != X0) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X1),knave)) | ($false = X0)) )),
% 0.14/0.37 inference(superposition,[],[f51,f10])).
% 0.14/0.37 thf(f146,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) != $true) | ($true = X1)) )),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f145])).
% 0.14/0.37 thf(f145,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $o] : (($true != $true) | ($true = X1) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) != $true) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $false)) )),
% 0.14/0.37 inference(superposition,[],[f39,f10])).
% 0.14/0.37 thf(f39,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | ($true = X1) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f29])).
% 0.14/0.37 thf(f29,plain,(
% 0.14/0.37 ! [X0] : (! [X1 : $o] : (($true = X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) != $true))),
% 0.14/0.37 inference(ennf_transformation,[],[f18])).
% 0.14/0.37 thf(f18,plain,(
% 0.14/0.37 ! [X0] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) = $true) => ! [X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $true) => ($true = X1)))),
% 0.14/0.37 inference(fool_elimination,[],[f17])).
% 0.14/0.37 thf(f17,plain,(
% 0.14/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) => ! [X1 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) => X1))),
% 0.14/0.37 inference(rectify,[],[f2])).
% 0.14/0.37 thf(f2,axiom,(
% 0.14/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knight) => ! [X1 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) => X1))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_2)).
% 0.14/0.37 thf(f136,plain,(
% 0.14/0.37 ( ! [X0 : $o,X1 : $i] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X1),knave)) | ($false = X0)) )),
% 0.14/0.37 inference(superposition,[],[f131,f10])).
% 0.14/0.37 thf(f131,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),$true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) != $true)) )),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f130])).
% 0.14/0.37 thf(f130,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),$true))) )),
% 0.14/0.37 inference(superposition,[],[f51,f10])).
% 0.14/0.37 thf(f51,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),$true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) != $true)) )),
% 0.14/0.37 inference(equality_resolution,[],[f40])).
% 0.14/0.37 thf(f40,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $o] : (($true != X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f30])).
% 0.14/0.37 thf(f30,plain,(
% 0.14/0.37 ! [X0] : (! [X1 : $o] : (($true != X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) != $true))),
% 0.14/0.37 inference(ennf_transformation,[],[f25])).
% 0.14/0.37 thf(f25,plain,(
% 0.14/0.37 ! [X0] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) = $true) => ! [X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $true) => ($true != X1)))),
% 0.14/0.37 inference(flattening,[],[f20])).
% 0.14/0.37 thf(f20,plain,(
% 0.14/0.37 ! [X0] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) = $true) => ! [X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $true) => ~($true = X1)))),
% 0.14/0.37 inference(fool_elimination,[],[f19])).
% 0.14/0.37 thf(f19,plain,(
% 0.14/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) => ! [X1 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) => ~X1))),
% 0.14/0.37 inference(rectify,[],[f3])).
% 0.14/0.37 thf(f3,axiom,(
% 0.14/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,X0),knave) => ! [X1 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) => ~X1))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_3)).
% 0.14/0.37 thf(f107,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | spl0_1),
% 0.14/0.37 inference(subsumption_resolution,[],[f55,f86])).
% 0.14/0.37 thf(f52,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (knight = knave)),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f50])).
% 0.14/0.37 thf(f50,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (knight = knave) | (knight = knave)),
% 0.14/0.37 inference(equality_resolution,[],[f49])).
% 0.14/0.37 thf(f49,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knight = knave) | (knave = X0) | (knight != X0)) )),
% 0.14/0.37 inference(equality_resolution,[],[f32])).
% 0.14/0.37 thf(f32,plain,(
% 0.14/0.37 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),X0)) | (knave = X1) | (knight != X1) | (knave = X0) | (knight != X0)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f31])).
% 0.14/0.37 thf(f37,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) = $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 thf(f14,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) = $true)),
% 0.14/0.37 inference(fool_elimination,[],[f13])).
% 0.14/0.37 thf(f13,plain,(
% 0.14/0.37 vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) & vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander)),
% 0.14/0.37 inference(rectify,[],[f4])).
% 0.14/0.37 thf(f4,axiom,(
% 0.14/0.37 vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) & vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander)),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_4)).
% 0.14/0.37 thf(f36,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) = $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 thf(f10,plain,(
% 0.14/0.37 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.14/0.37 introduced(fool_axiom,[])).
% 0.14/0.37 thf(f9,plain,(
% 0.14/0.37 ($true != $false)),
% 0.14/0.37 introduced(fool_axiom,[])).
% 0.14/0.37 thf(f42,plain,(
% 0.14/0.37 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave)),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave)))))),
% 0.14/0.37 inference(cnf_transformation,[],[f24])).
% 0.14/0.37 thf(f24,plain,(
% 0.14/0.37 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave)),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave)))))),
% 0.14/0.37 inference(fool_elimination,[],[f23])).
% 0.14/0.37 thf(f23,plain,(
% 0.14/0.37 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),~(vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) | vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave)))),
% 0.14/0.37 inference(rectify,[],[f6])).
% 0.14/0.37 thf(f6,axiom,(
% 0.14/0.37 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),~(vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) | vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave)))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_6)).
% 0.14/0.37 thf(f288,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_3 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f287])).
% 0.14/0.37 thf(f287,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_3 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f95,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f95,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_3),
% 0.14/0.37 inference(avatar_component_clause,[],[f93])).
% 0.14/0.37 thf(f93,plain,(
% 0.14/0.37 spl0_3 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight))),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.14/0.37 thf(f286,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_3 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f285])).
% 0.14/0.37 thf(f285,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_3 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f100,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f100,plain,(
% 0.14/0.37 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_3),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f99])).
% 0.14/0.37 thf(f99,plain,(
% 0.14/0.37 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_3),
% 0.14/0.37 inference(superposition,[],[f95,f10])).
% 0.14/0.37 thf(f284,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f283])).
% 0.14/0.37 thf(f283,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f111,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f111,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | spl0_4),
% 0.14/0.37 inference(avatar_component_clause,[],[f109])).
% 0.14/0.37 thf(f109,plain,(
% 0.14/0.37 spl0_4 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.14/0.37 thf(f282,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f281])).
% 0.14/0.37 thf(f281,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f118,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f118,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) = $false) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f117])).
% 0.14/0.37 thf(f117,plain,(
% 0.14/0.37 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) = $false) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f111,f10])).
% 0.14/0.37 thf(f280,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f279])).
% 0.14/0.37 thf(f279,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f155,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f155,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f154])).
% 0.14/0.37 thf(f154,plain,(
% 0.14/0.37 ($true = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_4),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f150])).
% 0.14/0.37 thf(f150,plain,(
% 0.14/0.37 ($true = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ($true = $false) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f127,f146])).
% 0.14/0.37 thf(f127,plain,(
% 0.14/0.37 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),$false)) | spl0_4),
% 0.14/0.37 inference(forward_demodulation,[],[f41,f118])).
% 0.14/0.37 thf(f278,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f277])).
% 0.14/0.37 thf(f277,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f147,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f147,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f143])).
% 0.14/0.37 thf(f143,plain,(
% 0.14/0.37 ($true != $true) | ($true = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f39,f127])).
% 0.14/0.37 thf(f276,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f275])).
% 0.14/0.37 thf(f275,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f127,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f274,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f273])).
% 0.14/0.37 thf(f273,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | spl0_4 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f158,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f158,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f157])).
% 0.14/0.37 thf(f157,plain,(
% 0.14/0.37 ($true = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | spl0_4),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f148])).
% 0.14/0.37 thf(f148,plain,(
% 0.14/0.37 ($true = $false) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ($true = $false) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f146,f127])).
% 0.14/0.37 thf(f272,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f271])).
% 0.14/0.37 thf(f271,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f90,f86,f54,f53,f55,f41,f114])).
% 0.14/0.37 thf(f270,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f269])).
% 0.14/0.37 thf(f269,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f114,f90,f86,f54,f53,f55,f41])).
% 0.14/0.37 thf(f268,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f267])).
% 0.14/0.37 thf(f267,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f114,f90,f41,f86,f54,f53,f55])).
% 0.14/0.37 thf(f266,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f265])).
% 0.14/0.37 thf(f265,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f114,f90,f41,f55,f86,f54,f53])).
% 0.14/0.37 thf(f264,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f263])).
% 0.14/0.37 thf(f263,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f53,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f114,f90,f41,f55,f86,f54])).
% 0.14/0.37 thf(f262,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f261])).
% 0.14/0.37 thf(f261,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_2 | ~spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f53,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f114,f90,f41,f55,f54,f86])).
% 0.14/0.37 thf(f260,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f259])).
% 0.14/0.37 thf(f259,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f53,f42,f9,f10,f36,f37,f52,f107,f51,f131,f136,f39,f146,f135,f38,f94,f41,f55,f244,f54,f110,f86])).
% 0.14/0.37 thf(f110,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) = $true) | ~spl0_4),
% 0.14/0.37 inference(avatar_component_clause,[],[f109])).
% 0.14/0.37 thf(f244,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knave) != $true) | (knight = knave) | ~spl0_3),
% 0.14/0.37 inference(subsumption_resolution,[],[f53,f94])).
% 0.14/0.37 thf(f94,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | ~spl0_3),
% 0.14/0.37 inference(avatar_component_clause,[],[f93])).
% 0.14/0.37 thf(f258,plain,(
% 0.14/0.37 spl0_1 | spl0_2 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f257])).
% 0.14/0.37 thf(f257,plain,(
% 0.14/0.37 $false | (spl0_1 | spl0_2 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f91,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f94,f41,f55,f244,f54,f110])).
% 0.14/0.37 thf(f91,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | spl0_2),
% 0.14/0.37 inference(avatar_component_clause,[],[f89])).
% 0.14/0.37 thf(f256,plain,(
% 0.14/0.37 spl0_1 | spl0_2 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f255])).
% 0.14/0.37 thf(f255,plain,(
% 0.14/0.37 $false | (spl0_1 | spl0_2 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f98,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f94,f41,f55,f244,f54,f110])).
% 0.14/0.37 thf(f98,plain,(
% 0.14/0.37 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | spl0_2),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f97])).
% 0.14/0.37 thf(f97,plain,(
% 0.14/0.37 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | spl0_2),
% 0.14/0.37 inference(superposition,[],[f91,f10])).
% 0.14/0.37 thf(f254,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4 | spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f253])).
% 0.14/0.37 thf(f253,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4 | spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f115,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f94,f41,f55,f244,f54,f110])).
% 0.14/0.37 thf(f115,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | spl0_5),
% 0.14/0.37 inference(avatar_component_clause,[],[f113])).
% 0.14/0.37 thf(f252,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4 | spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f251])).
% 0.14/0.37 thf(f251,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4 | spl0_5)),
% 0.14/0.37 inference(global_subsumption,[],[f120,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f94,f41,f55,f244,f54,f110])).
% 0.14/0.37 thf(f120,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) = $false) | spl0_5),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f119])).
% 0.14/0.37 thf(f119,plain,(
% 0.14/0.37 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) = $false) | spl0_5),
% 0.14/0.37 inference(superposition,[],[f115,f10])).
% 0.14/0.37 thf(f250,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f249])).
% 0.14/0.37 thf(f249,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f94,f41,f55,f244,f54,f110])).
% 0.14/0.37 thf(f248,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f247])).
% 0.14/0.37 thf(f247,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f110,f94,f41,f55,f244,f54])).
% 0.14/0.37 thf(f246,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f245])).
% 0.14/0.37 thf(f245,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f54,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f110,f94,f41,f55,f244])).
% 0.14/0.37 thf(f243,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f242])).
% 0.14/0.37 thf(f242,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f54,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f110,f94,f41,f55])).
% 0.14/0.37 thf(f241,plain,(
% 0.14/0.37 spl0_1 | ~spl0_3 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f240])).
% 0.14/0.37 thf(f240,plain,(
% 0.14/0.37 $false | (spl0_1 | ~spl0_3 | ~spl0_4)),
% 0.14/0.37 inference(global_subsumption,[],[f54,f53,f42,f9,f10,f36,f37,f52,f86,f107,f51,f131,f136,f39,f146,f135,f38,f55,f110,f94,f41])).
% 0.14/0.37 thf(f239,plain,(
% 0.14/0.37 ~spl0_1 | ~spl0_2 | ~spl0_3),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f238])).
% 0.14/0.37 thf(f238,plain,(
% 0.14/0.37 $false | (~spl0_1 | ~spl0_2 | ~spl0_3)),
% 0.14/0.37 inference(subsumption_resolution,[],[f237,f94])).
% 0.14/0.37 thf(f237,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(forward_demodulation,[],[f215,f87])).
% 0.14/0.37 thf(f87,plain,(
% 0.14/0.37 (knight = knave) | ~spl0_1),
% 0.14/0.37 inference(avatar_component_clause,[],[f85])).
% 0.14/0.37 thf(f215,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f214])).
% 0.14/0.37 thf(f214,plain,(
% 0.14/0.37 ($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(superposition,[],[f51,f205])).
% 0.14/0.37 thf(f205,plain,(
% 0.14/0.37 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),$true)) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(forward_demodulation,[],[f204,f90])).
% 0.14/0.37 thf(f204,plain,(
% 0.14/0.37 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight))) | ~spl0_1),
% 0.14/0.37 inference(forward_demodulation,[],[f41,f87])).
% 0.14/0.37 thf(f236,plain,(
% 0.14/0.37 ~spl0_1 | ~spl0_2 | ~spl0_3),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f235])).
% 0.14/0.37 thf(f235,plain,(
% 0.14/0.37 $false | (~spl0_1 | ~spl0_2 | ~spl0_3)),
% 0.14/0.37 inference(subsumption_resolution,[],[f234,f94])).
% 0.14/0.37 thf(f234,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(forward_demodulation,[],[f216,f87])).
% 0.14/0.37 thf(f216,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f213])).
% 0.14/0.37 thf(f213,plain,(
% 0.14/0.37 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(superposition,[],[f131,f205])).
% 0.14/0.37 thf(f233,plain,(
% 0.14/0.37 ~spl0_1 | ~spl0_2 | ~spl0_3),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f232])).
% 0.14/0.37 thf(f232,plain,(
% 0.14/0.37 $false | (~spl0_1 | ~spl0_2 | ~spl0_3)),
% 0.14/0.37 inference(subsumption_resolution,[],[f231,f94])).
% 0.14/0.37 thf(f231,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(forward_demodulation,[],[f218,f87])).
% 0.14/0.37 thf(f218,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f217])).
% 0.14/0.37 thf(f217,plain,(
% 0.14/0.37 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f210])).
% 0.14/0.37 thf(f210,plain,(
% 0.14/0.37 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | ($true = $false) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(superposition,[],[f135,f205])).
% 0.14/0.37 thf(f230,plain,(
% 0.14/0.37 ~spl0_1 | ~spl0_2 | ~spl0_3),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f229])).
% 0.14/0.37 thf(f229,plain,(
% 0.14/0.37 $false | (~spl0_1 | ~spl0_2 | ~spl0_3)),
% 0.14/0.37 inference(subsumption_resolution,[],[f228,f94])).
% 0.14/0.37 thf(f228,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(forward_demodulation,[],[f220,f87])).
% 0.14/0.37 thf(f220,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f219])).
% 0.14/0.37 thf(f219,plain,(
% 0.14/0.37 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(duplicate_literal_removal,[],[f208])).
% 0.14/0.37 thf(f208,plain,(
% 0.14/0.37 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | ($true = $false) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(superposition,[],[f205,f135])).
% 0.14/0.37 thf(f227,plain,(
% 0.14/0.37 ~spl0_1 | ~spl0_2 | ~spl0_3),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f226])).
% 0.14/0.37 thf(f226,plain,(
% 0.14/0.37 $false | (~spl0_1 | ~spl0_2 | ~spl0_3)),
% 0.14/0.37 inference(subsumption_resolution,[],[f225,f94])).
% 0.14/0.37 thf(f225,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(forward_demodulation,[],[f221,f87])).
% 0.14/0.37 thf(f221,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f207])).
% 0.14/0.37 thf(f207,plain,(
% 0.14/0.37 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knave) != $true) | (~spl0_1 | ~spl0_2)),
% 0.14/0.37 inference(superposition,[],[f205,f131])).
% 0.14/0.37 thf(f203,plain,(
% 0.14/0.37 ~spl0_1 | spl0_3 | ~spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f202])).
% 0.14/0.37 thf(f202,plain,(
% 0.14/0.37 $false | (~spl0_1 | spl0_3 | ~spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f201,f95])).
% 0.14/0.37 thf(f201,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (~spl0_1 | ~spl0_5)),
% 0.14/0.37 inference(forward_demodulation,[],[f114,f87])).
% 0.14/0.37 thf(f200,plain,(
% 0.14/0.37 ~spl0_1 | spl0_2 | ~spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f199])).
% 0.14/0.37 thf(f199,plain,(
% 0.14/0.37 $false | (~spl0_1 | spl0_2 | ~spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f198,f91])).
% 0.14/0.37 thf(f198,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (~spl0_1 | ~spl0_4)),
% 0.14/0.37 inference(forward_demodulation,[],[f110,f87])).
% 0.14/0.37 thf(f195,plain,(
% 0.14/0.37 spl0_3 | spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f194])).
% 0.14/0.37 thf(f194,plain,(
% 0.14/0.37 $false | (spl0_3 | spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f193,f36])).
% 0.14/0.37 thf(f193,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | (spl0_3 | spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f172,f95])).
% 0.14/0.37 thf(f172,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | spl0_5),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f171])).
% 0.14/0.37 thf(f171,plain,(
% 0.14/0.37 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | spl0_5),
% 0.14/0.37 inference(superposition,[],[f115,f38])).
% 0.14/0.37 thf(f192,plain,(
% 0.14/0.37 spl0_3 | spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f191])).
% 0.14/0.37 thf(f191,plain,(
% 0.14/0.37 $false | (spl0_3 | spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f190,f36])).
% 0.14/0.37 thf(f190,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | (spl0_3 | spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f173,f95])).
% 0.14/0.37 thf(f173,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | spl0_5),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f170])).
% 0.14/0.37 thf(f170,plain,(
% 0.14/0.37 ($true = $false) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | spl0_5),
% 0.14/0.37 inference(superposition,[],[f120,f38])).
% 0.14/0.37 thf(f189,plain,(
% 0.14/0.37 spl0_2 | spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f188])).
% 0.14/0.37 thf(f188,plain,(
% 0.14/0.37 $false | (spl0_2 | spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f187,f37])).
% 0.14/0.37 thf(f187,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | (spl0_2 | spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f174,f91])).
% 0.14/0.37 thf(f174,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f169])).
% 0.14/0.37 thf(f169,plain,(
% 0.14/0.37 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f111,f38])).
% 0.14/0.37 thf(f186,plain,(
% 0.14/0.37 spl0_2 | spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f185])).
% 0.14/0.37 thf(f185,plain,(
% 0.14/0.37 $false | (spl0_2 | spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f184,f37])).
% 0.14/0.37 thf(f184,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | (spl0_2 | spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f175,f91])).
% 0.14/0.37 thf(f175,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f168])).
% 0.14/0.37 thf(f168,plain,(
% 0.14/0.37 ($true = $false) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f118,f38])).
% 0.14/0.37 thf(f183,plain,(
% 0.14/0.37 spl0_3 | spl0_5),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f182])).
% 0.14/0.37 thf(f182,plain,(
% 0.14/0.37 $false | (spl0_3 | spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f181,f36])).
% 0.14/0.37 thf(f181,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | (spl0_3 | spl0_5)),
% 0.14/0.37 inference(subsumption_resolution,[],[f176,f95])).
% 0.14/0.37 thf(f176,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | spl0_5),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f167])).
% 0.14/0.37 thf(f167,plain,(
% 0.14/0.37 ($true = $false) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,zoey),islander) != $true) | spl0_5),
% 0.14/0.37 inference(superposition,[],[f38,f120])).
% 0.14/0.37 thf(f180,plain,(
% 0.14/0.37 spl0_2 | spl0_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f179])).
% 0.14/0.37 thf(f179,plain,(
% 0.14/0.37 $false | (spl0_2 | spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f178,f37])).
% 0.14/0.37 thf(f178,plain,(
% 0.14/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | (spl0_2 | spl0_4)),
% 0.14/0.37 inference(subsumption_resolution,[],[f177,f91])).
% 0.14/0.37 thf(f177,plain,(
% 0.14/0.37 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | spl0_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f166])).
% 0.14/0.37 thf(f166,plain,(
% 0.14/0.37 ($true = $false) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),knight)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),is_a,mel),islander) != $true) | spl0_4),
% 0.14/0.37 inference(superposition,[],[f38,f118])).
% 0.14/0.37 thf(f116,plain,(
% 0.14/0.37 ~spl0_4 | ~spl0_5 | spl0_1),
% 0.14/0.37 inference(avatar_split_clause,[],[f107,f85,f113,f109])).
% 0.14/0.37 thf(f96,plain,(
% 0.14/0.37 spl0_1 | ~spl0_2 | ~spl0_3),
% 0.14/0.37 inference(avatar_split_clause,[],[f52,f93,f89,f85])).
% 0.14/0.37 % SZS output end Proof for theBenchmark
% 0.14/0.37 % (18668)------------------------------
% 0.14/0.37 % (18668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (18668)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (18668)Memory used [KB]: 901
% 0.14/0.37 % (18668)Time elapsed: 0.011 s
% 0.14/0.37 % (18668)Instructions burned: 21 (million)
% 0.14/0.37 % (18664)Success in time 0.022 s
%------------------------------------------------------------------------------