TSTP Solution File: BOO001-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n010.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 04:38:40 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(trivial_inequality_removal,[],[f129]) ).
fof(f129,plain,
a != a,
inference(backward_demodulation,[],[f6,f116]) ).
fof(f116,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f102,f5]) ).
fof(f5,axiom,
! [X2,X3] : multiply(X2,X3,inverse(X3)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f102,plain,
! [X0,X1] : multiply(X1,inverse(X1),X0) = X0,
inference(superposition,[],[f32,f5]) ).
fof(f32,plain,
! [X2,X0,X1] : multiply(X2,X0,X1) = multiply(X0,X1,multiply(X2,X0,X1)),
inference(superposition,[],[f7,f2]) ).
fof(f2,axiom,
! [X2,X3] : multiply(X3,X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X1,X2,X3)) = multiply(X1,X2,multiply(X0,X1,X3)),
inference(superposition,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6,axiom,
a != inverse(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n010.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 19:36:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2435)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (3000ds/224446Mi)
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2439)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (3000ds/1122Mi)
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2440)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (3000ds/313Mi)
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2434)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (3000ds/125345Mi)
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2438)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (3000ds/401Mi)
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2437)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (3000ds/140Mi)
% 0.20/0.42 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (2436)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (3000ds/107Mi)
% 0.20/0.42 % (2439)First to succeed.
% 0.20/0.42 % (2439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2433"
% 0.20/0.43 % (2433)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (2439)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (2439)------------------------------
% 0.20/0.43 % (2439)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (2439)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (2439)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (2439)Memory used [KB]: 889
% 0.20/0.43 % (2439)Time elapsed: 0.009 s
% 0.20/0.43 % (2439)Instructions burned: 9 (million)
% 0.20/0.43 % (2439)------------------------------
% 0.20/0.43 % (2439)------------------------------
% 0.20/0.43 % (2433)Success in time 0.068 s
%------------------------------------------------------------------------------