TSTP Solution File: SEV258^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV258^5 : 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 : 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 : Tue May 21 04:15:31 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV258^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 18:22:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (12689)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (12692)WARNING: value z3 for option sas not known
% 0.15/0.39 % (12690)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (12694)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)
% 0.15/0.39 % (12693)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (12695)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)
% 0.15/0.39 % (12691)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (12692)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)
% 0.15/0.39 % (12696)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)
% 0.15/0.39 % (12693)First to succeed.
% 0.15/0.39 % (12690)Also succeeded, but the first one will report.
% 0.15/0.39 % (12696)Also succeeded, but the first one will report.
% 0.15/0.39 % (12695)Also succeeded, but the first one will report.
% 0.15/0.39 % Exception at run slice level% (12694)Also succeeded, but the first one will report.
% 0.15/0.39
% 0.15/0.39 User error: Immediate (shared) subterms of term/literal vAPP(X0,X2,X3,X4) = vAPP(X1,X2,X3,X4) have different types/not well-typed!
% 0.15/0.39 % (12693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12689"
% 0.15/0.39 % (12692)Also succeeded, but the first one will report.
% 0.15/0.39 % (12693)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% 0.15/0.39 tff(type_def_5, type, a: $tType).
% 0.15/0.39 tff(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.39 tff(func_def_0, type, a: $tType).
% 0.15/0.39 tff(func_def_4, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.39 tff(func_def_5, type, vNOT: $o > $o).
% 0.15/0.39 tff(func_def_6, type, vAND: $o > $o > $o).
% 0.15/0.39 tff(func_def_7, type, vSIGMA: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.15/0.39 tff(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.39 tff(func_def_9, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
% 0.15/0.39 tff(func_def_10, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
% 0.15/0.39 tff(func_def_11, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.39 fof(f9,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(cnf_transformation,[],[f8])).
% 0.15/0.39 fof(f8,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(true_and_false_elimination,[],[f7])).
% 0.15/0.39 fof(f7,plain,(
% 0.15/0.39 ~(! [X0 : a > $o,X1 : a > $o,X2 : a > $o] : ((vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vAND),X0)),X1) = X2 & $true & $true) => $true) & ! [X3 : (a > $o) > $o,X4 : a > $o] : ((vAPP(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,$o),vAPP(sTfun(sTfun(sTfun(a,$o),$o),$o),sTfun(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,$o)),bCOMB,vSIGMA(sTfun(a,$o))),vAPP(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,sTfun(sTfun(a,$o),$o)),vAPP(sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),sTfun(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,sTfun(sTfun(a,$o),$o))),bCOMB,vAPP(sTfun(sTfun(a,$o),sTfun($o,$o)),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),sCOMB,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),sTfun($o,$o))),bCOMB,vAND),X3))),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(a,sTfun(sTfun(a,$o),$o)),cCOMB,iCOMB))) = X4 & ! [X5 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,X3,X5)) => $true)) => $true) & ! [X6 : a > $o] : (vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$false)) = X6 => $true) & ! [X7 : a > $o] : (vAPP($o,sTfun(a,$o),kCOMB,$false) = X7 => $true))),
% 0.15/0.39 inference(rectify,[],[f6])).
% 0.15/0.39 fof(f6,plain,(
% 0.15/0.39 ~(! [X0 : a > $o,X1 : a > $o,X2 : a > $o] : ((vAPP(sTfun(a,$o),sTfun(a,$o),vAPP(sTfun(a,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,$o)),sCOMB,vAPP(sTfun(a,$o),sTfun(a,sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(a,$o),sTfun(a,sTfun($o,$o))),bCOMB,vAND),X0)),X1) = X2 & $true & $true) => $true) & ! [X4 : (a > $o) > $o,X5 : a > $o] : ((vAPP(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,$o),vAPP(sTfun(sTfun(sTfun(a,$o),$o),$o),sTfun(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,$o)),bCOMB,vSIGMA(sTfun(a,$o))),vAPP(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,sTfun(sTfun(a,$o),$o)),vAPP(sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),sTfun(sTfun(a,sTfun(sTfun(a,$o),$o)),sTfun(a,sTfun(sTfun(a,$o),$o))),bCOMB,vAPP(sTfun(sTfun(a,$o),sTfun($o,$o)),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),$o)),sCOMB,vAPP(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),sTfun($o,$o)),vAPP(sTfun($o,sTfun($o,$o)),sTfun(sTfun(sTfun(a,$o),$o),sTfun(sTfun(a,$o),sTfun($o,$o))),bCOMB,vAND),X4))),vAPP(sTfun(sTfun(a,$o),sTfun(a,$o)),sTfun(a,sTfun(sTfun(a,$o),$o)),cCOMB,iCOMB))) = X5 & ! [X8 : a > $o] : (($true = vAPP(sTfun(a,$o),$o,X4,X8)) => $true)) => $true) & ! [X9 : a > $o] : (vAPP($o,sTfun(a,$o),kCOMB,vAPP($o,$o,vNOT,$false)) = X9 => $true) & ! [X11 : a > $o] : (vAPP($o,sTfun(a,$o),kCOMB,$false) = X11 => $true))),
% 0.15/0.39 inference(fool_elimination,[],[f5])).
% 0.15/0.39 fof(f5,plain,(
% 0.15/0.39 ~(! [X0,X1,X2 : a > $o] : ((X2 = (^[X3 : a] : (vAPP(a,$o,X1,X3) & vAPP(a,$o,X0,X3))) & $true & $true) => $true) & ! [X4 : (a > $o) > $o,X5 : a > $o] : ((X5 = (^[X6 : a] : (? [X7 : a > $o] : (vAPP(a,$o,X7,X6) & vAPP(sTfun(a,$o),$o,X4,X7)))) & ! [X8 : a > $o] : (vAPP(sTfun(a,$o),$o,X4,X8) => $true)) => $true) & ! [X9 : a > $o] : (X9 = (^[X10 : a] : (~$false)) => $true) & ! [X11 : a > $o] : (X11 = (^[X12 : a] : ($false)) => $true))),
% 0.15/0.39 inference(rectify,[],[f2])).
% 0.15/0.39 fof(f2,negated_conjecture,(
% 0.15/0.39 ~(! [X4 : a > $o,X5 : a > $o,X3 : a > $o] : ((X3 = (^[X1 : a] : (vAPP(a,$o,X5,X1) & vAPP(a,$o,X4,X1))) & $true & $true) => $true) & ! [X2 : (a > $o) > $o,X0 : a > $o] : ((X0 = (^[X1 : a] : (? [X3 : a > $o] : (vAPP(a,$o,X3,X1) & vAPP(sTfun(a,$o),$o,X2,X3)))) & ! [X1 : a > $o] : (vAPP(sTfun(a,$o),$o,X2,X1) => $true)) => $true) & ! [X0 : a > $o] : (X0 = (^[X1 : a] : (~$false)) => $true) & ! [X0 : a > $o] : (X0 = (^[X1 : a] : ($false)) => $true))),
% 0.15/0.39 inference(negated_conjecture,[],[f1])).
% 0.15/0.39 fof(f1,conjecture,(
% 0.15/0.39 ! [X4 : a > $o,X5 : a > $o,X3 : a > $o] : ((X3 = (^[X1 : a] : (vAPP(a,$o,X5,X1) & vAPP(a,$o,X4,X1))) & $true & $true) => $true) & ! [X2 : (a > $o) > $o,X0 : a > $o] : ((X0 = (^[X1 : a] : (? [X3 : a > $o] : (vAPP(a,$o,X3,X1) & vAPP(sTfun(a,$o),$o,X2,X3)))) & ! [X1 : a > $o] : (vAPP(sTfun(a,$o),$o,X2,X1) => $true)) => $true) & ! [X0 : a > $o] : (X0 = (^[X1 : a] : (~$false)) => $true) & ! [X0 : a > $o] : (X0 = (^[X1 : a] : ($false)) => $true)),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDISCRETE_TOPOLOGY_pme)).
% 0.15/0.39 % SZS output end Proof for theBenchmark
% 0.15/0.39 % (12693)------------------------------
% 0.15/0.39 % (12693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (12693)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (12693)Memory used [KB]: 734
% 0.15/0.39 % (12693)Time elapsed: 0.003 s
% 0.15/0.39 % (12693)Instructions burned: 3 (million)
% 0.15/0.39 % (12689)Success in time 0.009 s
%------------------------------------------------------------------------------