TSTP Solution File: PUZ081^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ081^2 : TPTP v8.1.2. Bugfixed v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 08:50:31 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : PUZ081^2 : TPTP v8.1.2. Bugfixed v7.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35 % Computer : n002.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 18:01:22 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (7554)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (7557)WARNING: value z3 for option sas not known
% 0.12/0.37 % (7557)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)
% 0.12/0.37 % (7560)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)
% 0.12/0.37 % (7558)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37 % (7556)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37 % (7559)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)
% 0.12/0.37 % (7561)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)
% 0.12/0.37 % (7561)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.37 % Exception at run slice level% Exception at run slice level
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.37
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.37 % (7555)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 % Exception at run slice level
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.37 % (7557)First to succeed.
% 0.12/0.37 % (7560)Also succeeded, but the first one will report.
% 0.12/0.37 % (7557)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7554"
% 0.12/0.37 % (7561)Also succeeded, but the first one will report.
% 0.12/0.37 % (7557)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% 0.12/0.37 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.12/0.37 thf(func_def_2, type, knight: $i > $o).
% 0.12/0.37 thf(func_def_3, type, knave: $i > $o).
% 0.12/0.37 thf(func_def_4, type, says: $i > $o > $o).
% 0.12/0.37 thf(func_def_8, type, vAND: $o > $o > $o).
% 0.12/0.37 thf(func_def_9, type, vNOT: $o > $o).
% 0.12/0.37 thf(func_def_11, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.12/0.37 thf(func_def_12, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.12/0.37 thf(func_def_13, type, vOR: $o > $o > $o).
% 0.12/0.37 thf(func_def_14, type, vIMP: $o > $o > $o).
% 0.12/0.37 thf(func_def_15, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.12/0.37 thf(f143,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(avatar_sat_refutation,[],[f84,f103,f128,f130,f132,f134,f136,f138,f140,f142])).
% 0.12/0.37 thf(f142,plain,(
% 0.12/0.37 ~spl0_1 | ~spl0_4),
% 0.12/0.37 inference(avatar_contradiction_clause,[],[f141])).
% 0.12/0.37 thf(f141,plain,(
% 0.12/0.37 $false | (~spl0_1 | ~spl0_4)),
% 0.12/0.37 inference(global_subsumption,[],[f47,f33,f45,f36,f8,f9,f38,f44,f46,f35,f40,f42,f101,f78])).
% 0.12/0.38 thf(f78,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,zoey) = $true) | ~spl0_1),
% 0.12/0.38 inference(avatar_component_clause,[],[f77])).
% 0.12/0.38 thf(f77,plain,(
% 0.12/0.38 spl0_1 <=> (vAPP($i,$o,knave,zoey) = $true)),
% 0.12/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.12/0.38 thf(f101,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,mel)) | ~spl0_4),
% 0.12/0.38 inference(avatar_component_clause,[],[f100])).
% 0.12/0.38 thf(f100,plain,(
% 0.12/0.38 spl0_4 <=> ($true = vAPP($i,$o,knight,mel))),
% 0.12/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.12/0.38 thf(f42,plain,(
% 0.12/0.38 ($true != vAPP($i,$o,knight,mel)) | (vAPP($i,$o,knave,zoey) != $true)),
% 0.12/0.38 inference(equality_resolution,[],[f41])).
% 0.12/0.38 thf(f41,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o] : (($true != vAPP($i,$o,knight,mel)) | ($true != vAPP($i,$o,X0,zoey)) | (knave != X0)) )),
% 0.12/0.38 inference(equality_resolution,[],[f29])).
% 0.12/0.38 thf(f29,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X1,mel)) | ($true != vAPP($i,$o,X0,zoey)) | (knight != X1) | (knave != X0)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f23])).
% 0.12/0.38 thf(f23,plain,(
% 0.12/0.38 ! [X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X1,mel)) | ($true != vAPP($i,$o,X0,zoey)) | ((knave != X1) & (knight != X1)) | ((knave != X0) & (knight != X0)))),
% 0.12/0.38 inference(ennf_transformation,[],[f11])).
% 0.12/0.38 thf(f11,plain,(
% 0.12/0.38 ~? [X0 : $i > $o,X1 : $i > $o] : (($true = vAPP($i,$o,X1,mel)) & ($true = vAPP($i,$o,X0,zoey)) & ((knave = X1) | (knight = X1)) & ((knave = X0) | (knight = X0)))),
% 0.12/0.38 inference(fool_elimination,[],[f10])).
% 0.12/0.38 thf(f10,plain,(
% 0.12/0.38 ~? [X0 : $i > $o,X1 : $i > $o] : (vAPP($i,$o,X1,mel) & vAPP($i,$o,X0,zoey) & ((knave = X1) | (knight = X1)) & ((knave = X0) | (knight = X0)))),
% 0.12/0.38 inference(rectify,[],[f7])).
% 0.12/0.38 thf(f7,negated_conjecture,(
% 0.12/0.38 ~? [X2 : $i > $o,X3 : $i > $o] : (vAPP($i,$o,X3,mel) & vAPP($i,$o,X2,zoey) & ((knave = X3) | (knight = X3)) & ((knave = X2) | (knight = X2)))),
% 0.12/0.38 inference(negated_conjecture,[],[f6])).
% 0.12/0.38 thf(f6,conjecture,(
% 0.12/0.38 ? [X2 : $i > $o,X3 : $i > $o] : (vAPP($i,$o,X3,mel) & vAPP($i,$o,X2,zoey) & ((knave = X3) | (knight = X3)) & ((knave = X2) | (knight = X2)))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',what_are_zoey_and_mel)).
% 0.12/0.38 thf(f40,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,mel) != $true) | ($true != vAPP($i,$o,knight,zoey))),
% 0.12/0.38 inference(equality_resolution,[],[f39])).
% 0.12/0.38 thf(f39,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o] : ((vAPP($i,$o,knave,mel) != $true) | ($true != vAPP($i,$o,X0,zoey)) | (knight != X0)) )),
% 0.12/0.38 inference(equality_resolution,[],[f30])).
% 0.12/0.38 thf(f30,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X1,mel)) | ($true != vAPP($i,$o,X0,zoey)) | (knave != X1) | (knight != X0)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f23])).
% 0.12/0.38 thf(f35,plain,(
% 0.12/0.38 (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,knave,mel)) = $true)),
% 0.12/0.38 inference(cnf_transformation,[],[f19])).
% 0.12/0.38 thf(f19,plain,(
% 0.12/0.38 (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,knave,mel)) = $true)),
% 0.12/0.38 inference(fool_elimination,[],[f18])).
% 0.12/0.38 thf(f18,plain,(
% 0.12/0.38 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,knave,mel))),
% 0.12/0.38 inference(rectify,[],[f4])).
% 0.12/0.38 thf(f4,axiom,(
% 0.12/0.38 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,zoey),vAPP($i,$o,knave,mel))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',zoey_speaks)).
% 0.12/0.38 thf(f46,plain,(
% 0.12/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,knave,X0) = $true) | (vAPP($i,$o,knight,X0) = $true)) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f32])).
% 0.12/0.38 thf(f32,plain,(
% 0.12/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,knight,X0) != vAPP($i,$o,knave,X0))) )),
% 0.12/0.38 inference(cnf_transformation,[],[f13])).
% 0.12/0.38 thf(f13,plain,(
% 0.12/0.38 ! [X0] : (vAPP($i,$o,knight,X0) != vAPP($i,$o,knave,X0))),
% 0.12/0.38 inference(fool_elimination,[],[f12])).
% 0.12/0.38 thf(f12,plain,(
% 0.12/0.38 ! [X0] : (vAPP($i,$o,knight,X0) <~> vAPP($i,$o,knave,X0))),
% 0.12/0.38 inference(rectify,[],[f1])).
% 0.12/0.38 thf(f1,axiom,(
% 0.12/0.38 ! [X0] : (vAPP($i,$o,knight,X0) <~> vAPP($i,$o,knave,X0))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_xor_knaves)).
% 0.12/0.38 thf(f44,plain,(
% 0.12/0.38 ($true != vAPP($i,$o,knight,mel)) | ($true != vAPP($i,$o,knight,zoey))),
% 0.12/0.38 inference(equality_resolution,[],[f43])).
% 0.12/0.38 thf(f43,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o] : (($true != vAPP($i,$o,knight,mel)) | ($true != vAPP($i,$o,X0,zoey)) | (knight != X0)) )),
% 0.12/0.38 inference(equality_resolution,[],[f28])).
% 0.12/0.38 thf(f28,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X1,mel)) | ($true != vAPP($i,$o,X0,zoey)) | (knight != X1) | (knight != X0)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f23])).
% 0.12/0.38 thf(f38,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,mel) != $true) | (vAPP($i,$o,knave,zoey) != $true)),
% 0.12/0.38 inference(equality_resolution,[],[f37])).
% 0.12/0.38 thf(f37,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o] : ((vAPP($i,$o,knave,mel) != $true) | ($true != vAPP($i,$o,X0,zoey)) | (knave != X0)) )),
% 0.12/0.38 inference(equality_resolution,[],[f31])).
% 0.12/0.38 thf(f31,plain,(
% 0.12/0.38 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X1,mel)) | ($true != vAPP($i,$o,X0,zoey)) | (knave != X1) | (knave != X0)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f23])).
% 0.12/0.38 thf(f9,plain,(
% 0.12/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.12/0.38 introduced(fool_axiom,[])).
% 0.12/0.38 thf(f8,plain,(
% 0.12/0.38 ($true != $false)),
% 0.12/0.38 introduced(fool_axiom,[])).
% 0.12/0.38 thf(f36,plain,(
% 0.12/0.38 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,knave,zoey))),vAPP($o,$o,vNOT,vAPP($i,$o,knave,mel)))))),
% 0.12/0.38 inference(cnf_transformation,[],[f21])).
% 0.12/0.38 thf(f21,plain,(
% 0.12/0.38 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($o,$o,vNOT,vAPP($i,$o,knave,zoey))),vAPP($o,$o,vNOT,vAPP($i,$o,knave,mel)))))),
% 0.12/0.38 inference(fool_elimination,[],[f20])).
% 0.12/0.38 thf(f20,plain,(
% 0.12/0.38 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),~vAPP($i,$o,knave,mel) & ~vAPP($i,$o,knave,zoey))),
% 0.12/0.38 inference(rectify,[],[f5])).
% 0.12/0.38 thf(f5,axiom,(
% 0.12/0.38 vAPP($o,$o,vAPP($i,sTfun($o,$o),says,mel),~vAPP($i,$o,knave,mel) & ~vAPP($i,$o,knave,zoey))),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mel_speaks)).
% 0.12/0.38 thf(f45,plain,(
% 0.12/0.38 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),$true)) | (vAPP($i,$o,knave,X0) != $true)) )),
% 0.12/0.38 inference(equality_resolution,[],[f34])).
% 0.12/0.38 thf(f34,plain,(
% 0.12/0.38 ( ! [X0 : $i,X1 : $o] : (($true != X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,knave,X0) != $true)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f27])).
% 0.12/0.38 thf(f27,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (($true != X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,knave,X0) != $true))),
% 0.12/0.38 inference(flattening,[],[f26])).
% 0.12/0.38 thf(f26,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (($true != X1) | ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,knave,X0) != $true)))),
% 0.12/0.38 inference(ennf_transformation,[],[f22])).
% 0.12/0.38 thf(f22,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $true) & (vAPP($i,$o,knave,X0) = $true)) => ($true != X1))),
% 0.12/0.38 inference(flattening,[],[f17])).
% 0.12/0.38 thf(f17,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $true) & (vAPP($i,$o,knave,X0) = $true)) => ~($true = X1))),
% 0.12/0.38 inference(fool_elimination,[],[f16])).
% 0.12/0.38 thf(f16,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) & vAPP($i,$o,knave,X0)) => ~X1)),
% 0.12/0.38 inference(rectify,[],[f3])).
% 0.12/0.38 thf(f3,axiom,(
% 0.12/0.38 ! [X0,X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) & vAPP($i,$o,knave,X0)) => ~X1)),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_lie)).
% 0.12/0.38 thf(f33,plain,(
% 0.12/0.38 ( ! [X0 : $i,X1 : $o] : (($true = X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,knight,X0) != $true)) )),
% 0.12/0.38 inference(cnf_transformation,[],[f25])).
% 0.12/0.38 thf(f25,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (($true = X1) | (vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,knight,X0) != $true))),
% 0.12/0.38 inference(flattening,[],[f24])).
% 0.12/0.38 thf(f24,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (($true = X1) | ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) != $true) | (vAPP($i,$o,knight,X0) != $true)))),
% 0.12/0.38 inference(ennf_transformation,[],[f15])).
% 0.12/0.38 thf(f15,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : (((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) = $true) & (vAPP($i,$o,knight,X0) = $true)) => ($true = X1))),
% 0.12/0.38 inference(fool_elimination,[],[f14])).
% 0.12/0.38 thf(f14,plain,(
% 0.12/0.38 ! [X0,X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) & vAPP($i,$o,knight,X0)) => X1)),
% 0.12/0.38 inference(rectify,[],[f2])).
% 0.12/0.38 thf(f2,axiom,(
% 0.12/0.38 ! [X0,X1 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),says,X0),X1) & vAPP($i,$o,knight,X0)) => X1)),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_tell_truth)).
% 0.12/0.38 thf(f47,plain,(
% 0.12/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,knight,X0) = $false) | (vAPP($i,$o,knave,X0) = $false)) )),
% 0.12/0.38 inference(binary_proxy_clausification,[],[f32])).
% 0.12/0.38 thf(f140,plain,(
% 0.12/0.38 ~spl0_2 | ~spl0_3),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f139])).
% 0.12/0.38 thf(f139,plain,(
% 0.12/0.38 $false | (~spl0_2 | ~spl0_3)),
% 0.12/0.38 inference(global_subsumption,[],[f42,f47,f33,f45,f36,f8,f9,f38,f44,f46,f35,f40,f97,f82])).
% 0.12/0.38 thf(f82,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,mel) = $true) | ~spl0_2),
% 0.12/0.38 inference(avatar_component_clause,[],[f81])).
% 0.12/0.38 thf(f81,plain,(
% 0.12/0.38 spl0_2 <=> (vAPP($i,$o,knave,mel) = $true)),
% 0.12/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.12/0.38 thf(f97,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,zoey)) | ~spl0_3),
% 0.12/0.38 inference(avatar_component_clause,[],[f96])).
% 0.12/0.38 thf(f96,plain,(
% 0.12/0.38 spl0_3 <=> ($true = vAPP($i,$o,knight,zoey))),
% 0.12/0.38 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.12/0.38 thf(f138,plain,(
% 0.12/0.38 spl0_2 | spl0_4),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f137])).
% 0.12/0.38 thf(f137,plain,(
% 0.12/0.38 $false | (spl0_2 | spl0_4)),
% 0.12/0.38 inference(subsumption_resolution,[],[f121,f102])).
% 0.12/0.38 thf(f102,plain,(
% 0.12/0.38 ($true != vAPP($i,$o,knight,mel)) | spl0_4),
% 0.12/0.38 inference(avatar_component_clause,[],[f100])).
% 0.12/0.38 thf(f121,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,mel)) | spl0_2),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f120])).
% 0.12/0.38 thf(f120,plain,(
% 0.12/0.38 ($true != $true) | ($true = vAPP($i,$o,knight,mel)) | spl0_2),
% 0.12/0.38 inference(superposition,[],[f83,f46])).
% 0.12/0.38 thf(f83,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,mel) != $true) | spl0_2),
% 0.12/0.38 inference(avatar_component_clause,[],[f81])).
% 0.12/0.38 thf(f136,plain,(
% 0.12/0.38 spl0_2 | spl0_4),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f135])).
% 0.12/0.38 thf(f135,plain,(
% 0.12/0.38 $false | (spl0_2 | spl0_4)),
% 0.12/0.38 inference(subsumption_resolution,[],[f122,f102])).
% 0.12/0.38 thf(f122,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,mel)) | spl0_2),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f119])).
% 0.12/0.38 thf(f119,plain,(
% 0.12/0.38 ($true = $false) | ($true = vAPP($i,$o,knight,mel)) | spl0_2),
% 0.12/0.38 inference(superposition,[],[f88,f46])).
% 0.12/0.38 thf(f88,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,mel) = $false) | spl0_2),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f87])).
% 0.12/0.38 thf(f87,plain,(
% 0.12/0.38 ($true != $true) | (vAPP($i,$o,knave,mel) = $false) | spl0_2),
% 0.12/0.38 inference(superposition,[],[f83,f9])).
% 0.12/0.38 thf(f134,plain,(
% 0.12/0.38 spl0_1 | spl0_3),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f133])).
% 0.12/0.38 thf(f133,plain,(
% 0.12/0.38 $false | (spl0_1 | spl0_3)),
% 0.12/0.38 inference(subsumption_resolution,[],[f123,f98])).
% 0.12/0.38 thf(f98,plain,(
% 0.12/0.38 ($true != vAPP($i,$o,knight,zoey)) | spl0_3),
% 0.12/0.38 inference(avatar_component_clause,[],[f96])).
% 0.12/0.38 thf(f123,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,zoey)) | spl0_1),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f118])).
% 0.12/0.38 thf(f118,plain,(
% 0.12/0.38 ($true != $true) | ($true = vAPP($i,$o,knight,zoey)) | spl0_1),
% 0.12/0.38 inference(superposition,[],[f79,f46])).
% 0.12/0.38 thf(f79,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,zoey) != $true) | spl0_1),
% 0.12/0.38 inference(avatar_component_clause,[],[f77])).
% 0.12/0.38 thf(f132,plain,(
% 0.12/0.38 spl0_1 | spl0_3),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f131])).
% 0.12/0.38 thf(f131,plain,(
% 0.12/0.38 $false | (spl0_1 | spl0_3)),
% 0.12/0.38 inference(subsumption_resolution,[],[f124,f98])).
% 0.12/0.38 thf(f124,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,zoey)) | spl0_1),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f117])).
% 0.12/0.38 thf(f117,plain,(
% 0.12/0.38 ($true = $false) | ($true = vAPP($i,$o,knight,zoey)) | spl0_1),
% 0.12/0.38 inference(superposition,[],[f86,f46])).
% 0.12/0.38 thf(f86,plain,(
% 0.12/0.38 (vAPP($i,$o,knave,zoey) = $false) | spl0_1),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f85])).
% 0.12/0.38 thf(f85,plain,(
% 0.12/0.38 ($true != $true) | (vAPP($i,$o,knave,zoey) = $false) | spl0_1),
% 0.12/0.38 inference(superposition,[],[f79,f9])).
% 0.12/0.38 thf(f130,plain,(
% 0.12/0.38 spl0_2 | spl0_4),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f129])).
% 0.12/0.38 thf(f129,plain,(
% 0.12/0.38 $false | (spl0_2 | spl0_4)),
% 0.12/0.38 inference(subsumption_resolution,[],[f125,f102])).
% 0.12/0.38 thf(f125,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,mel)) | spl0_2),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f116])).
% 0.12/0.38 thf(f116,plain,(
% 0.12/0.38 ($true = $false) | ($true = vAPP($i,$o,knight,mel)) | spl0_2),
% 0.12/0.38 inference(superposition,[],[f46,f88])).
% 0.12/0.38 thf(f128,plain,(
% 0.12/0.38 spl0_1 | spl0_3),
% 0.12/0.38 inference(avatar_contradiction_clause,[],[f127])).
% 0.12/0.38 thf(f127,plain,(
% 0.12/0.38 $false | (spl0_1 | spl0_3)),
% 0.12/0.38 inference(subsumption_resolution,[],[f126,f98])).
% 0.12/0.38 thf(f126,plain,(
% 0.12/0.38 ($true = vAPP($i,$o,knight,zoey)) | spl0_1),
% 0.12/0.38 inference(trivial_inequality_removal,[],[f115])).
% 0.12/0.38 thf(f115,plain,(
% 0.12/0.38 ($true = $false) | ($true = vAPP($i,$o,knight,zoey)) | spl0_1),
% 0.12/0.38 inference(superposition,[],[f46,f86])).
% 0.12/0.38 thf(f103,plain,(
% 0.12/0.38 ~spl0_3 | ~spl0_4),
% 0.12/0.38 inference(avatar_split_clause,[],[f44,f100,f96])).
% 0.12/0.38 thf(f84,plain,(
% 0.12/0.38 ~spl0_1 | ~spl0_2),
% 0.12/0.38 inference(avatar_split_clause,[],[f38,f81,f77])).
% 0.12/0.38 % SZS output end Proof for theBenchmark
% 0.12/0.38 % (7557)------------------------------
% 0.12/0.38 % (7557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.38 % (7557)Termination reason: Refutation
% 0.12/0.38
% 0.12/0.38 % (7557)Memory used [KB]: 789
% 0.12/0.38 % (7557)Time elapsed: 0.007 s
% 0.12/0.38 % (7557)Instructions burned: 9 (million)
% 0.12/0.38 % (7554)Success in time 0.02 s
%------------------------------------------------------------------------------