TSTP Solution File: GRP517-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.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 : Wed Aug 31 16:22:45 EDT 2022
% Result : Unsatisfiable 0.13s 0.51s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(subsumption_resolution,[],[f179,f178]) ).
fof(f178,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f169,f156]) ).
fof(f156,plain,
! [X14,X12] : multiply(X12,X14) = multiply(X14,X12),
inference(forward_demodulation,[],[f150,f125]) ).
fof(f125,plain,
! [X4,X5] : multiply(X5,multiply(inverse(X4),X4)) = X5,
inference(superposition,[],[f103,f43]) ).
fof(f43,plain,
! [X3,X0,X1] : multiply(X0,multiply(X3,X1)) = multiply(X3,multiply(X0,X1)),
inference(backward_demodulation,[],[f4,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),
inference(backward_demodulation,[],[f5,f38]) ).
fof(f38,plain,
! [X10,X9,X7,X5] : multiply(X7,X5) = multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))),
inference(backward_demodulation,[],[f6,f34]) ).
fof(f34,plain,
! [X3,X6,X4,X5] : multiply(X5,X3) = multiply(multiply(inverse(X4),X5),multiply(multiply(inverse(multiply(inverse(X3),X6)),X4),X6)),
inference(superposition,[],[f11,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f6,plain,
! [X10,X8,X6,X9,X7,X5] : multiply(multiply(inverse(X6),X7),multiply(multiply(inverse(multiply(inverse(X5),X8)),X6),X8)) = multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))),
inference(superposition,[],[f3,f3]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))) = multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),
inference(superposition,[],[f3,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X3,X1)) = multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3),X2),
inference(superposition,[],[f1,f1]) ).
fof(f103,plain,
! [X8,X6] : multiply(inverse(X6),multiply(X8,X6)) = X8,
inference(backward_demodulation,[],[f47,f93]) ).
fof(f93,plain,
! [X18,X16,X17] : multiply(inverse(X16),X17) = multiply(X18,multiply(inverse(multiply(X18,X16)),X17)),
inference(superposition,[],[f47,f11]) ).
fof(f47,plain,
! [X8,X6,X5] : multiply(X5,multiply(inverse(multiply(X5,X6)),multiply(X8,X6))) = X8,
inference(backward_demodulation,[],[f25,f43]) ).
fof(f25,plain,
! [X8,X6,X5] : multiply(inverse(multiply(X5,X6)),multiply(X5,multiply(X8,X6))) = X8,
inference(superposition,[],[f1,f4]) ).
fof(f150,plain,
! [X14,X12,X13] : multiply(X14,X12) = multiply(X12,multiply(X14,multiply(inverse(X13),X13))),
inference(superposition,[],[f43,f125]) ).
fof(f169,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X2),X2),
inference(backward_demodulation,[],[f145,f156]) ).
fof(f145,plain,
! [X2,X1] : multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(superposition,[],[f11,f125]) ).
fof(f179,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(forward_demodulation,[],[f177,f156]) ).
fof(f177,plain,
multiply(inverse(b1),b1) != multiply(a1,inverse(a1)),
inference(backward_demodulation,[],[f2,f156]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GRP517-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 22:34:25 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.13/0.45 % (16420)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.13/0.45 % (16436)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.13/0.46 % (16440)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.13/0.46 % (16421)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.13/0.46 % (16428)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.13/0.46 TRYING [1]
% 0.13/0.46 TRYING [2]
% 0.13/0.46 TRYING [3]
% 0.13/0.46 % (16432)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.13/0.46 TRYING [4]
% 0.13/0.47 % (16424)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.13/0.47 % (16421)Instruction limit reached!
% 0.13/0.47 % (16421)------------------------------
% 0.13/0.47 % (16421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.47 % (16437)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.13/0.47 % (16421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.47 % (16421)Termination reason: Unknown
% 0.13/0.47 % (16421)Termination phase: Saturation
% 0.13/0.47
% 0.13/0.47 % (16421)Memory used [KB]: 5500
% 0.13/0.47 % (16421)Time elapsed: 0.105 s
% 0.13/0.47 % (16421)Instructions burned: 7 (million)
% 0.13/0.47 % (16421)------------------------------
% 0.13/0.47 % (16421)------------------------------
% 0.13/0.48 % (16429)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.13/0.49 % (16422)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.49 % (16422)Instruction limit reached!
% 0.13/0.49 % (16422)------------------------------
% 0.13/0.49 % (16422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.49 % (16422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.49 % (16422)Termination reason: Unknown
% 0.13/0.49 % (16422)Termination phase: Saturation
% 0.13/0.49
% 0.13/0.49 % (16422)Memory used [KB]: 5373
% 0.13/0.49 % (16422)Time elapsed: 0.135 s
% 0.13/0.49 % (16422)Instructions burned: 2 (million)
% 0.13/0.49 % (16422)------------------------------
% 0.13/0.49 % (16422)------------------------------
% 0.13/0.50 % (16437)First to succeed.
% 0.13/0.50 % (16425)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.13/0.50 % (16426)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.13/0.51 % (16415)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.13/0.51 % (16418)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.13/0.51 % (16417)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.13/0.51 % (16437)Refutation found. Thanks to Tanya!
% 0.13/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.51 % (16437)------------------------------
% 0.13/0.51 % (16437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.51 % (16437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.51 % (16437)Termination reason: Refutation
% 0.13/0.51
% 0.13/0.51 % (16437)Memory used [KB]: 5628
% 0.13/0.51 % (16437)Time elapsed: 0.135 s
% 0.13/0.51 % (16437)Instructions burned: 19 (million)
% 0.13/0.51 % (16437)------------------------------
% 0.13/0.51 % (16437)------------------------------
% 0.13/0.51 % (16413)Success in time 0.204 s
%------------------------------------------------------------------------------