TSTP Solution File: GRP604-1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRP604-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n023.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 07:24:26 EDT 2024
% Result : Unsatisfiable 1.50s 0.57s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1187,plain,
$false,
inference(trivial_inequality_removal,[],[f1068]) ).
fof(f1068,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(backward_demodulation,[],[f4,f1017]) ).
fof(f1017,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f1014,f555]) ).
fof(f555,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f500,f12]) ).
fof(f12,plain,
! [X2,X0,X1] : inverse(double_divide(X1,double_divide(inverse(double_divide(X0,X1)),double_divide(X0,X2)))) = X2,
inference(superposition,[],[f7,f7]) ).
fof(f7,plain,
! [X2,X3,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X2,X1)),X3)),double_divide(X2,X3))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,double_divide(X2,X3)))))) = inverse(double_divide(inverse(double_divide(X2,X1)),X3)),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f500,plain,
! [X0,X1] : inverse(double_divide(X1,double_divide(inverse(X0),X1))) = X0,
inference(superposition,[],[f445,f445]) ).
fof(f445,plain,
! [X2,X3] : inverse(double_divide(inverse(double_divide(inverse(X2),X3)),X2)) = X3,
inference(superposition,[],[f388,f116]) ).
fof(f116,plain,
! [X2,X3,X0] : double_divide(X2,inverse(double_divide(X0,double_divide(inverse(double_divide(X2,X0)),X3)))) = X3,
inference(superposition,[],[f10,f9]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X3)),double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X3))) = X2,
inference(superposition,[],[f7,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : double_divide(X0,X2) = inverse(double_divide(inverse(double_divide(X1,X3)),double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),X3))),
inference(superposition,[],[f7,f7]) ).
fof(f388,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X1))) = X2,
inference(superposition,[],[f13,f145]) ).
fof(f145,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X2,X0)),double_divide(X2,inverse(double_divide(X0,X1)))) = X1,
inference(superposition,[],[f116,f10]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X3,X2)),X4)),double_divide(X0,inverse(double_divide(X2,double_divide(inverse(double_divide(X0,X1)),double_divide(X3,X4))))))) = X1,
inference(superposition,[],[f7,f5]) ).
fof(f1014,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f1011,f554]) ).
fof(f554,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f500,f145]) ).
fof(f1011,plain,
! [X0,X1] : inverse(inverse(X1)) = double_divide(double_divide(X0,X1),X0),
inference(superposition,[],[f554,f976]) ).
fof(f976,plain,
! [X0,X1] : inverse(X1) = inverse(double_divide(double_divide(X0,X1),X0)),
inference(forward_demodulation,[],[f922,f554]) ).
fof(f922,plain,
! [X0,X1] : inverse(X1) = inverse(double_divide(inverse(inverse(double_divide(X0,X1))),X0)),
inference(superposition,[],[f505,f145]) ).
fof(f505,plain,
! [X0,X1] : inverse(double_divide(X1,double_divide(inverse(X0),X0))) = X1,
inference(superposition,[],[f445,f1]) ).
fof(f4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP604-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 12:42:54 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.34 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.34 Running first-order model finding
% 0.12/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (5468)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.20/0.41 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (5462)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.20/0.41 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (5466)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.20/0.41 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (5463)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.20/0.41 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (5465)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.20/0.41 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (5467)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.20/0.41 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (5464)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [10]
% 0.20/0.42 TRYING [4]
% 0.20/0.45 % (5468)Instruction limit reached!
% 0.20/0.45 % (5468)------------------------------
% 0.20/0.45 % (5468)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45 % (5468)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45 % (5468)Termination reason: Time limit
% 0.20/0.45 % (5468)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (5468)Memory used [KB]: 1389
% 0.20/0.45 % (5468)Time elapsed: 0.054 s
% 0.20/0.45 % (5468)Instructions burned: 116 (million)
% 0.20/0.47 % (5466)Instruction limit reached!
% 0.20/0.47 % (5466)------------------------------
% 0.20/0.47 % (5466)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (5466)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (5466)Termination reason: Time limit
% 0.20/0.47 % (5466)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (5466)Memory used [KB]: 2345
% 0.20/0.47 % (5466)Time elapsed: 0.062 s
% 0.20/0.47 % (5466)Instructions burned: 104 (million)
% 0.20/0.50 % (5467)Instruction limit reached!
% 0.20/0.50 % (5467)------------------------------
% 0.20/0.50 % (5467)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (5467)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (5467)Termination reason: Time limit
% 0.20/0.50 % (5467)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (5467)Memory used [KB]: 2514
% 0.20/0.50 % (5467)Time elapsed: 0.091 s
% 0.20/0.50 % (5467)Instructions burned: 147 (million)
% 0.20/0.50 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (5470)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.20/0.52 TRYING [23]
% 0.20/0.52 % (5461)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (5469)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.35/0.53 % (5461)Running in auto input_syntax mode. Trying TPTP
% 1.35/0.53 % (5471)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.35/0.54 TRYING [5]
% 1.50/0.56 % (5470)Instruction limit reached!
% 1.50/0.56 % (5470)------------------------------
% 1.50/0.56 % (5470)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.56 % (5470)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.56 % (5470)Termination reason: Time limit
% 1.50/0.56 % (5470)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (5470)Memory used [KB]: 1804
% 1.50/0.56 % (5470)Time elapsed: 0.055 s
% 1.50/0.56 % (5470)Instructions burned: 177 (million)
% 1.50/0.56 % (5469)First to succeed.
% 1.50/0.56 % (5469)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5461"
% 1.50/0.57 % (5461)Running in auto input_syntax mode. Trying TPTP
% 1.50/0.57 % (5469)Refutation found. Thanks to Tanya!
% 1.50/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.57 % (5469)------------------------------
% 1.50/0.57 % (5469)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.57 % (5469)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.57 % (5469)Termination reason: Refutation
% 1.50/0.57
% 1.50/0.57 % (5469)Memory used [KB]: 1626
% 1.50/0.57 % (5469)Time elapsed: 0.050 s
% 1.50/0.57 % (5469)Instructions burned: 86 (million)
% 1.50/0.57 % (5469)------------------------------
% 1.50/0.57 % (5469)------------------------------
% 1.50/0.57 % (5461)Success in time 0.215 s
%------------------------------------------------------------------------------