TSTP Solution File: SEU568^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU568^2 : TPTP v8.2.0. Released v3.7.0.
% 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 : Tue May 21 04:05:57 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU568^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.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 : Sun May 19 16:50:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (15041)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (15044)WARNING: value z3 for option sas not known
% 0.14/0.37 % (15043)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 % (15045)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (15044)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 % (15046)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 % (15047)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 % (15048)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 % (15042)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/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 % (15048)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (15048)First to succeed.
% 0.14/0.38 % (15046)Also succeeded, but the first one will report.
% 0.14/0.38 % (15048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15041"
% 0.14/0.38 % (15044)Also succeeded, but the first one will report.
% 0.14/0.38 % (15048)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% 0.14/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.38 thf(func_def_0, type, in: $i > $i > $o).
% 0.14/0.38 thf(func_def_1, type, subset: $i > $i > $o).
% 0.14/0.38 thf(func_def_2, type, notsubsetI: $o).
% 0.14/0.38 thf(func_def_4, type, notequalI1: $o).
% 0.14/0.38 thf(func_def_7, type, vIMP: $o > $o > $o).
% 0.14/0.38 thf(func_def_8, type, vNOT: $o > $o).
% 0.14/0.38 thf(func_def_9, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.38 thf(func_def_10, type, vPI: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.14/0.38 thf(func_def_11, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
% 0.14/0.38 thf(func_def_12, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.38 thf(func_def_13, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.38 thf(func_def_17, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.38 thf(func_def_18, type, vAND: $o > $o > $o).
% 0.14/0.38 thf(func_def_19, type, vOR: $o > $o > $o).
% 0.14/0.38 thf(f34,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(subsumption_resolution,[],[f20,f33])).
% 0.14/0.38 thf(f33,plain,(
% 0.14/0.38 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK0))),
% 0.14/0.38 inference(forward_demodulation,[],[f21,f22])).
% 0.14/0.38 thf(f22,plain,(
% 0.14/0.38 (sK0 = sK1)),
% 0.14/0.38 inference(cnf_transformation,[],[f17])).
% 0.14/0.38 thf(f17,plain,(
% 0.14/0.38 ((sK0 = sK1) & ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK1)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK0))) & (notequalI1 = $true) & (notsubsetI = $true)),
% 0.14/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f16])).
% 0.14/0.38 thf(f16,plain,(
% 0.14/0.38 ? [X0,X1,X2] : ((X0 = X1) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) != $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true)) => ((sK0 = sK1) & ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK1)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK0)))),
% 0.14/0.38 introduced(choice_axiom,[])).
% 0.14/0.38 thf(f15,plain,(
% 0.14/0.38 ? [X0,X1,X2] : ((X0 = X1) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) != $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true)) & (notequalI1 = $true) & (notsubsetI = $true)),
% 0.14/0.38 inference(flattening,[],[f14])).
% 0.14/0.38 thf(f14,plain,(
% 0.14/0.38 (? [X0,X1,X2] : (((X0 = X1) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) != $true)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)),
% 0.14/0.38 inference(ennf_transformation,[],[f13])).
% 0.14/0.38 thf(f13,plain,(
% 0.14/0.38 ~((notsubsetI = $true) => ((notequalI1 = $true) => ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true) => ((vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) != $true) => (X0 != X1)))))),
% 0.14/0.38 inference(flattening,[],[f8])).
% 0.14/0.38 thf(f8,plain,(
% 0.14/0.38 ~((notsubsetI = $true) => ((notequalI1 = $true) => ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true) => (~(vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) = $true) => (X0 != X1)))))),
% 0.14/0.38 inference(fool_elimination,[],[f7])).
% 0.14/0.38 thf(f7,plain,(
% 0.14/0.38 ~(notsubsetI => (notequalI1 => ! [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) => (~vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) => (X0 != X1)))))),
% 0.14/0.38 inference(rectify,[],[f4])).
% 0.14/0.38 thf(f4,negated_conjecture,(
% 0.14/0.38 ~(notsubsetI => (notequalI1 => ! [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) => (~vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) => (X0 != X1)))))),
% 0.14/0.38 inference(negated_conjecture,[],[f3])).
% 0.14/0.38 thf(f3,conjecture,(
% 0.14/0.38 notsubsetI => (notequalI1 => ! [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) => (~vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X1) => (X0 != X1))))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',notequalI2)).
% 0.14/0.38 thf(f21,plain,(
% 0.14/0.38 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK1))),
% 0.14/0.38 inference(cnf_transformation,[],[f17])).
% 0.14/0.38 thf(f20,plain,(
% 0.14/0.38 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK0))),
% 0.14/0.38 inference(cnf_transformation,[],[f17])).
% 0.14/0.38 % SZS output end Proof for theBenchmark
% 0.14/0.38 % (15048)------------------------------
% 0.14/0.38 % (15048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (15048)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (15048)Memory used [KB]: 763
% 0.14/0.38 % (15048)Time elapsed: 0.005 s
% 0.14/0.38 % (15048)Instructions burned: 7 (million)
% 0.14/0.38 % (15041)Success in time 0.009 s
%------------------------------------------------------------------------------