TSTP Solution File: SYO220^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO220^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:10:39 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
% 0.07/0.12 % Problem : SYO220^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 11:02:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7143)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (7146)WARNING: value z3 for option sas not known
% 0.14/0.37 % (7145)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 % (7144)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (7147)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (7146)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 % (7149)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 % (7148)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 % (7150)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% 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 % 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
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.37 % (7150)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.37 % (7148)First to succeed.
% 0.14/0.37 % (7149)Also succeeded, but the first one will report.
% 0.14/0.37 % (7150)Also succeeded, but the first one will report.
% 0.14/0.37 % (7148)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7143"
% 0.14/0.37 % (7146)Also succeeded, but the first one will report.
% 0.14/0.37 % (7148)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_5, type, sK2: $i > $i > $o).
% 0.14/0.37 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.37 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.37 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.14/0.37 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.14/0.37 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.14/0.37 thf(func_def_12, type, vNOT: $o > $o).
% 0.14/0.37 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.37 thf(f32,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(avatar_sat_refutation,[],[f19,f23,f28,f31])).
% 0.14/0.37 thf(f31,plain,(
% 0.14/0.37 ~spl3_2 | spl3_3),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f30])).
% 0.14/0.37 thf(f30,plain,(
% 0.14/0.37 $false | (~spl3_2 | spl3_3)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f29])).
% 0.14/0.37 thf(f29,plain,(
% 0.14/0.37 ($true != $true) | (~spl3_2 | spl3_3)),
% 0.14/0.37 inference(superposition,[],[f27,f22])).
% 0.14/0.37 thf(f22,plain,(
% 0.14/0.37 ( ! [X3 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,X3),X3))) ) | ~spl3_2),
% 0.14/0.37 inference(avatar_component_clause,[],[f21])).
% 0.14/0.37 thf(f21,plain,(
% 0.14/0.37 spl3_2 <=> ! [X3] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,X3),X3))),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
% 0.14/0.37 thf(f27,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,sK1),sK1)) | spl3_3),
% 0.14/0.37 inference(avatar_component_clause,[],[f25])).
% 0.14/0.37 thf(f25,plain,(
% 0.14/0.37 spl3_3 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,sK1),sK1))),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.14/0.37 thf(f28,plain,(
% 0.14/0.37 ~spl3_3),
% 0.14/0.37 inference(avatar_split_clause,[],[f14,f25])).
% 0.14/0.37 thf(f14,plain,(
% 0.14/0.37 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,sK1),sK1))),
% 0.14/0.37 inference(definition_unfolding,[],[f13,f11])).
% 0.14/0.37 thf(f11,plain,(
% 0.14/0.37 (sK0 = sK1)),
% 0.14/0.37 inference(cnf_transformation,[],[f10])).
% 0.14/0.37 thf(f10,plain,(
% 0.14/0.37 (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,sK0),sK1)) & ! [X3] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,X3),X3))) & (sK0 = sK1)),
% 0.14/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9,f8])).
% 0.14/0.38 thf(f8,plain,(
% 0.14/0.38 ? [X0,X1] : (? [X2 : $i > $i > $o] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X0),X1) != $true) & ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) = $true)) & (X0 = X1)) => (? [X2 : $i > $i > $o] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,sK0),sK1)) & ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) = $true)) & (sK0 = sK1))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f9,plain,(
% 0.14/0.38 ? [X2 : $i > $i > $o] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,sK0),sK1)) & ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) = $true)) => (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,sK0),sK1)) & ! [X3] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,X3),X3)))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f7,plain,(
% 0.14/0.38 ? [X0,X1] : (? [X2 : $i > $i > $o] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X0),X1) != $true) & ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) = $true)) & (X0 = X1))),
% 0.14/0.38 inference(ennf_transformation,[],[f6])).
% 0.14/0.38 thf(f6,plain,(
% 0.14/0.38 ~! [X0,X1] : ((X0 = X1) => ! [X2 : $i > $i > $o] : (! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) = $true) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X0),X1) = $true)))),
% 0.14/0.38 inference(fool_elimination,[],[f5])).
% 0.14/0.38 thf(f5,plain,(
% 0.14/0.38 ~! [X0,X1] : ((X0 = X1) => ! [X2 : $i > $i > $o] : (! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) => vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X0),X1)))),
% 0.14/0.38 inference(rectify,[],[f2])).
% 0.14/0.38 thf(f2,negated_conjecture,(
% 0.14/0.38 ~! [X0,X1] : ((X0 = X1) => ! [X2 : $i > $i > $o] : (! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) => vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X0),X1)))),
% 0.14/0.38 inference(negated_conjecture,[],[f1])).
% 0.14/0.38 thf(f1,conjecture,(
% 0.14/0.38 ! [X0,X1] : ((X0 = X1) => ! [X2 : $i > $i > $o] : (! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X3),X3) => vAPP($i,$o,vAPP($i,sTfun($i,$o),X2,X0),X1)))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM47A)).
% 0.14/0.38 thf(f13,plain,(
% 0.14/0.38 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,sK0),sK1))),
% 0.14/0.38 inference(cnf_transformation,[],[f10])).
% 0.14/0.38 thf(f23,plain,(
% 0.14/0.38 spl3_2),
% 0.14/0.38 inference(avatar_split_clause,[],[f12,f21])).
% 0.14/0.38 thf(f12,plain,(
% 0.14/0.38 ( ! [X3 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),sK2,X3),X3))) )),
% 0.14/0.38 inference(cnf_transformation,[],[f10])).
% 0.14/0.38 thf(f19,plain,(
% 0.14/0.38 ~spl3_1),
% 0.14/0.38 inference(avatar_split_clause,[],[f3,f16])).
% 0.14/0.38 thf(f16,plain,(
% 0.14/0.38 spl3_1 <=> ($true = $false)),
% 0.14/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 0.14/0.38 thf(f3,plain,(
% 0.14/0.38 ($true != $false)),
% 0.14/0.38 introduced(fool_axiom,[])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (7148)------------------------------
% 0.14/0.38 % (7148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (7148)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (7148)Memory used [KB]: 756
% 0.14/0.38 % (7148)Time elapsed: 0.004 s
% 0.14/0.38 % (7148)Instructions burned: 4 (million)
% 0.14/0.38 % (7143)Success in time 0.006 s
%------------------------------------------------------------------------------