TSTP Solution File: SEV258^5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV258^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 : Mon Jun 24 16:02:30 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 : SEV258^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:15:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.22/0.37 This is a TH0_THM_EQU_NAR problem
% 0.22/0.37 Running higher-order theorem proving
% 0.22/0.37 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.22/0.39 % (13973)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39 % (13975)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.22/0.39 % (13974)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.39 % (13973)First to succeed.
% 0.22/0.39 % (13975)Also succeeded, but the first one will report.
% 0.22/0.39 % (13978)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.39 % (13978)Also succeeded, but the first one will report.
% 0.22/0.39 % (13973)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 tff(type_def_5, type, a: $tType).
% 0.22/0.39 tff(func_def_0, type, a: $tType).
% 0.22/0.39 fof(f8,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(cnf_transformation,[],[f7])).
% 0.22/0.39 fof(f7,plain,(
% 0.22/0.39 $false),
% 0.22/0.39 inference(true_and_false_elimination,[],[f6])).
% 0.22/0.39 fof(f6,plain,(
% 0.22/0.39 ~(! [X0 : sTfun(a,$o),X1 : sTfun(sTfun(a,$o),$o)] : ((! [X2 : sTfun(a,$o)] : (($true = vAPP(sTfun(a,$o),$o,X1,X2)) => $true) & vLAM(a,$o,vAPP(sTfun(sTfun(a,$o),$o),$o,vSIGMA(sTfun(a,$o)),vLAM(sTfun(a,$o),$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(a,$o,db0(sTfun(a,$o)),db1(a))),vAPP(sTfun(a,$o),$o,X1,db0(sTfun(a,$o))))))) = X0) => $true) & ! [X3 : sTfun(a,$o),X4 : sTfun(a,$o),X5 : sTfun(a,$o)] : (($true & $true & vLAM(a,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(a,$o,X4,db0(a))),vAPP(a,$o,X3,db0(a)))) = X5) => $true) & ! [X6 : sTfun(a,$o)] : (vLAM(a,$o,vAPP($o,$o,vNOT,$false)) = X6 => $true) & ! [X7 : sTfun(a,$o)] : (vLAM(a,$o,$false) = X7 => $true))),
% 0.22/0.39 inference(rectify,[],[f5])).
% 0.22/0.39 fof(f5,plain,(
% 0.22/0.39 ~(! [X0 : sTfun(a,$o),X1 : sTfun(sTfun(a,$o),$o)] : ((! [X2 : sTfun(a,$o)] : (($true = vAPP(sTfun(a,$o),$o,X1,X2)) => $true) & vLAM(a,$o,vAPP(sTfun(sTfun(a,$o),$o),$o,vSIGMA(sTfun(a,$o)),vLAM(sTfun(a,$o),$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(a,$o,db0(sTfun(a,$o)),db1(a))),vAPP(sTfun(a,$o),$o,X1,db0(sTfun(a,$o))))))) = X0) => $true) & ! [X5 : sTfun(a,$o),X6 : sTfun(a,$o),X7 : sTfun(a,$o)] : (($true & $true & vLAM(a,$o,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP(a,$o,X6,db0(a))),vAPP(a,$o,X5,db0(a)))) = X7) => $true) & ! [X9 : sTfun(a,$o)] : (vLAM(a,$o,vAPP($o,$o,vNOT,$false)) = X9 => $true) & ! [X11 : sTfun(a,$o)] : (vLAM(a,$o,$false) = X11 => $true))),
% 0.22/0.39 inference(fool_elimination,[],[f4])).
% 0.22/0.39 fof(f4,plain,(
% 0.22/0.39 ~(! [X0 : sTfun(a,$o),X1 : sTfun(sTfun(a,$o),$o)] : ((! [X2 : sTfun(a,$o)] : (vAPP(sTfun(a,$o),$o,X1,X2) => $true) & X0 = (^[X3 : a] : (? [X4 : sTfun(a,$o)] : (vAPP(sTfun(a,$o),$o,X1,X4) & vAPP(a,$o,X4,X3))))) => $true) & ! [X5 : sTfun(a,$o),X6 : sTfun(a,$o),X7 : sTfun(a,$o)] : (($true & $true & X7 = (^[X8 : a] : (vAPP(a,$o,X5,X8) & vAPP(a,$o,X6,X8)))) => $true) & ! [X9 : sTfun(a,$o)] : (X9 = (^[X10 : a] : (~$false)) => $true) & ! [X11 : sTfun(a,$o)] : ((^[X12 : a] : ($false)) = X11 => $true))),
% 0.22/0.39 inference(rectify,[],[f2])).
% 0.22/0.39 fof(f2,negated_conjecture,(
% 0.22/0.39 ~(! [X0 : sTfun(a,$o),X2 : sTfun(sTfun(a,$o),$o)] : ((! [X1 : sTfun(a,$o)] : (vAPP(sTfun(a,$o),$o,X2,X1) => $true) & X0 = (^[X1 : a] : (? [X3 : sTfun(a,$o)] : (vAPP(sTfun(a,$o),$o,X2,X3) & vAPP(a,$o,X3,X1))))) => $true) & ! [X4 : sTfun(a,$o),X5 : sTfun(a,$o),X3 : sTfun(a,$o)] : (($true & $true & X3 = (^[X1 : a] : (vAPP(a,$o,X4,X1) & vAPP(a,$o,X5,X1)))) => $true) & ! [X0 : sTfun(a,$o)] : (X0 = (^[X1 : a] : (~$false)) => $true) & ! [X0 : sTfun(a,$o)] : ((^[X1 : a] : ($false)) = X0 => $true))),
% 0.22/0.39 inference(negated_conjecture,[],[f1])).
% 0.22/0.39 fof(f1,conjecture,(
% 0.22/0.39 ! [X0 : sTfun(a,$o),X2 : sTfun(sTfun(a,$o),$o)] : ((! [X1 : sTfun(a,$o)] : (vAPP(sTfun(a,$o),$o,X2,X1) => $true) & X0 = (^[X1 : a] : (? [X3 : sTfun(a,$o)] : (vAPP(sTfun(a,$o),$o,X2,X3) & vAPP(a,$o,X3,X1))))) => $true) & ! [X4 : sTfun(a,$o),X5 : sTfun(a,$o),X3 : sTfun(a,$o)] : (($true & $true & X3 = (^[X1 : a] : (vAPP(a,$o,X4,X1) & vAPP(a,$o,X5,X1)))) => $true) & ! [X0 : sTfun(a,$o)] : (X0 = (^[X1 : a] : (~$false)) => $true) & ! [X0 : sTfun(a,$o)] : ((^[X1 : a] : ($false)) = X0 => $true)),
% 0.22/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDISCRETE_TOPOLOGY_pme)).
% 0.22/0.39 % SZS output end Proof for theBenchmark
% 0.22/0.39 % (13973)------------------------------
% 0.22/0.39 % (13973)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.39 % (13973)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (13973)Memory used [KB]: 5500
% 0.22/0.39 % (13973)Time elapsed: 0.004 s
% 0.22/0.39 % (13973)Instructions burned: 1 (million)
% 0.22/0.39 % (13973)------------------------------
% 0.22/0.39 % (13973)------------------------------
% 0.22/0.40 % (13972)Success in time 0.021 s
%------------------------------------------------------------------------------