TSTP Solution File: SEU661^2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU661^2 : 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 : n029.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 04:06:16 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU661^2 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 18:06:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (31686)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (31689)WARNING: value z3 for option sas not known
% 0.22/0.39 % (31690)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (31693)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)
% 0.22/0.39 % (31692)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)
% 0.22/0.39 % (31687)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (31688)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (31691)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)
% 0.22/0.39 % (31689)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)
% 0.22/0.39 % (31693)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.22/0.39
% 0.22/0.39 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
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % (31692)Also succeeded, but the first one will report.
% 0.22/0.39 % (31691)Also succeeded, but the first one will report.
% 0.22/0.39 % (31693)First to succeed.
% 0.22/0.39 % (31693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31686"
% 0.22/0.39 % (31689)Also succeeded, but the first one will report.
% 0.22/0.39 % (31693)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% 0.22/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.39 thf(func_def_0, type, in: $i > $i > $o).
% 0.22/0.39 thf(func_def_1, type, kpair: $i > $i > $i).
% 0.22/0.39 thf(func_def_9, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.22/0.39 thf(func_def_10, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.22/0.39 thf(func_def_11, type, vAND: $o > $o > $o).
% 0.22/0.39 thf(func_def_12, type, vOR: $o > $o > $o).
% 0.22/0.39 thf(func_def_13, type, vIMP: $o > $o > $o).
% 0.22/0.39 thf(func_def_14, type, vNOT: $o > $o).
% 0.22/0.39 thf(func_def_15, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.39 thf(f14,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(trivial_inequality_removal,[],[f13])).
% 0.22/0.39 thf(f13,plain,(
% 0.22/0.39 (vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),sK3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),sK3))),
% 0.22/0.39 inference(cnf_transformation,[],[f10])).
% 0.22/0.39 thf(f10,plain,(
% 0.22/0.39 ((vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),sK3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),sK3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK3),sK1))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK0))),
% 0.22/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f9,f8])).
% 0.22/0.39 thf(f8,plain,(
% 0.22/0.39 ? [X0,X1,X2] : (? [X3] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),X1) = $true)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true)) => (? [X3] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),X3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),sK1))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK2),sK0)))),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f9,plain,(
% 0.22/0.39 ? [X3] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),X3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),sK1))) => ((vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),sK3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,sK2),sK3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),in,sK3),sK1)))),
% 0.22/0.39 introduced(choice_axiom,[])).
% 0.22/0.39 thf(f7,plain,(
% 0.22/0.39 ? [X0,X1,X2] : (? [X3] : ((vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3) != vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),X1) = $true)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true))),
% 0.22/0.39 inference(ennf_transformation,[],[f6])).
% 0.22/0.39 thf(f6,plain,(
% 0.22/0.39 ~! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) = $true) => ! [X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),X1) = $true) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3) = vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3))))),
% 0.22/0.39 inference(fool_elimination,[],[f5])).
% 0.22/0.39 thf(f5,plain,(
% 0.22/0.39 ~! [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) => ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),X1) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3) = vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3))))),
% 0.22/0.39 inference(rectify,[],[f2])).
% 0.22/0.39 thf(f2,negated_conjecture,(
% 0.22/0.39 ~! [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) => ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),X1) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3) = vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3))))),
% 0.22/0.39 inference(negated_conjecture,[],[f1])).
% 0.22/0.39 thf(f1,conjecture,(
% 0.22/0.39 ! [X0,X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X2),X0) => ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),in,X3),X1) => (vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3) = vAPP($i,$i,vAPP($i,sTfun($i,$i),kpair,X2),X3))))),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempaircEq)).
% 0.22/0.39 % SZS output end Proof for theBenchmark
% 0.22/0.39 % (31693)------------------------------
% 0.22/0.39 % (31693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (31693)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (31693)Memory used [KB]: 738
% 0.22/0.39 % (31693)Time elapsed: 0.004 s
% 0.22/0.39 % (31693)Instructions burned: 3 (million)
% 0.22/0.39 % (31686)Success in time 0.017 s
%------------------------------------------------------------------------------