TSTP Solution File: GRP555-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP555-1 : 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 : n001.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 16:22:51 EDT 2022
% Result : Unsatisfiable 1.66s 0.74s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f496,plain,
$false,
inference(subsumption_resolution,[],[f495,f494]) ).
fof(f494,plain,
! [X24,X22,X23] : divide(X22,divide(inverse(X23),X24)) = divide(X24,divide(inverse(X23),X22)),
inference(backward_demodulation,[],[f466,f491]) ).
fof(f491,plain,
! [X6,X5] : inverse(divide(X6,inverse(X5))) = divide(inverse(X6),X5),
inference(backward_demodulation,[],[f74,f488]) ).
fof(f488,plain,
! [X8,X6,X7] : divide(X6,inverse(X7)) = divide(X6,divide(X8,divide(X7,inverse(X8)))),
inference(backward_demodulation,[],[f237,f456]) ).
fof(f456,plain,
! [X3,X4,X5] : divide(X4,inverse(X3)) = divide(divide(X5,divide(inverse(X4),X3)),X5),
inference(superposition,[],[f344,f66]) ).
fof(f66,plain,
! [X14,X15,X13] : divide(divide(X15,X14),X15) = divide(divide(X13,X14),X13),
inference(superposition,[],[f26,f52]) ).
fof(f52,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f50,f22]) ).
fof(f22,plain,
! [X8,X7] : divide(inverse(divide(X8,X7)),inverse(X8)) = X7,
inference(superposition,[],[f13,f13]) ).
fof(f13,plain,
! [X2,X1] : divide(X1,inverse(divide(X2,X1))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),inverse(divide(X3,X1))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f50,plain,
! [X4,X5] : inverse(divide(X4,X5)) = divide(inverse(X4),inverse(X5)),
inference(superposition,[],[f13,f22]) ).
fof(f26,plain,
! [X2,X1] : divide(divide(X2,inverse(X1)),X2) = X1,
inference(backward_demodulation,[],[f1,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : divide(X0,inverse(divide(X1,divide(X0,X2)))) = divide(X2,inverse(X1)),
inference(superposition,[],[f13,f1]) ).
fof(f344,plain,
! [X2,X1,X4] : divide(X2,inverse(X1)) = divide(divide(X1,divide(inverse(X2),X4)),X4),
inference(backward_demodulation,[],[f32,f341]) ).
fof(f341,plain,
! [X3,X0,X1] : divide(divide(X1,inverse(X3)),inverse(X0)) = divide(X0,divide(inverse(X3),X1)),
inference(forward_demodulation,[],[f304,f63]) ).
fof(f63,plain,
! [X6,X4,X5] : inverse(divide(X6,divide(divide(X4,X5),X4))) = divide(inverse(X6),X5),
inference(superposition,[],[f50,f52]) ).
fof(f304,plain,
! [X2,X3,X0,X1] : divide(divide(X1,inverse(X3)),inverse(X0)) = divide(X0,inverse(divide(X3,divide(divide(X2,X1),X2)))),
inference(superposition,[],[f6,f77]) ).
fof(f77,plain,
! [X14,X15,X13] : divide(divide(X15,X14),X15) = divide(X13,divide(X14,inverse(X13))),
inference(superposition,[],[f26,f53]) ).
fof(f53,plain,
! [X4,X5] : inverse(divide(X4,divide(X5,inverse(X4)))) = X5,
inference(superposition,[],[f50,f13]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(X0,inverse(divide(X1,divide(X0,divide(X2,X3))))) = divide(divide(X2,inverse(X1)),X3),
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X2,X1,X4] : divide(divide(divide(X4,inverse(X2)),inverse(X1)),X4) = divide(X2,inverse(X1)),
inference(forward_demodulation,[],[f30,f20]) ).
fof(f30,plain,
! [X2,X3,X1,X4] : divide(divide(divide(X3,inverse(divide(X2,divide(X3,X4)))),inverse(X1)),X4) = divide(X2,inverse(X1)),
inference(backward_demodulation,[],[f11,f20]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] : divide(X0,inverse(divide(X1,divide(X0,X2)))) = divide(divide(divide(X3,inverse(divide(X2,divide(X3,X4)))),inverse(X1)),X4),
inference(superposition,[],[f5,f1]) ).
fof(f237,plain,
! [X8,X6,X9,X7] : divide(divide(X9,divide(inverse(X6),X7)),X9) = divide(X6,divide(X8,divide(X7,inverse(X8)))),
inference(superposition,[],[f77,f77]) ).
fof(f74,plain,
! [X6,X4,X5] : inverse(divide(X6,divide(X4,divide(X5,inverse(X4))))) = divide(inverse(X6),X5),
inference(superposition,[],[f50,f53]) ).
fof(f466,plain,
! [X24,X22,X23] : divide(X22,divide(inverse(X23),X24)) = divide(X24,inverse(divide(X23,inverse(X22)))),
inference(superposition,[],[f13,f344]) ).
fof(f495,plain,
divide(c3,divide(inverse(b3),a3)) != divide(a3,divide(inverse(b3),c3)),
inference(backward_demodulation,[],[f342,f491]) ).
fof(f342,plain,
divide(c3,divide(inverse(b3),a3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(backward_demodulation,[],[f4,f341]) ).
fof(f4,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:54:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 ipcrm: permission denied for id (638124033)
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% 0.19/0.51 ipcrm: permission denied for id (642678908)
% 0.19/0.52 ipcrm: permission denied for id (638845054)
% 0.19/0.52 ipcrm: permission denied for id (642744447)
% 1.11/0.65 % (11419)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.11/0.67 % (11436)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.11/0.67 % (11427)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.11/0.67 % (11418)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.11/0.67 % (11426)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.11/0.67 % (11438)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 (2998ds/467Mi)
% 1.11/0.67 % (11424)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.11/0.68 % (11425)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.11/0.68 % (11423)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.11/0.68 % (11430)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 (2998ds/75Mi)
% 1.11/0.68 % (11416)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.11/0.69 % (11417)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.11/0.69 % (11435)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 1.11/0.69 % (11434)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.11/0.69 % (11421)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.11/0.69 % (11439)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.11/0.69 % (11420)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.11/0.69 % (11414)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.11/0.69 TRYING [1]
% 1.11/0.69 TRYING [2]
% 1.11/0.69 % (11445)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.11/0.69 TRYING [1]
% 1.11/0.69 TRYING [2]
% 1.11/0.69 TRYING [3]
% 1.11/0.69 TRYING [3]
% 1.11/0.70 % (11415)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.11/0.70 TRYING [4]
% 1.11/0.70 % (11440)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.11/0.70 % (11431)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.11/0.70 % (11444)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.11/0.70 % (11443)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.11/0.70 % (11419)Instruction limit reached!
% 1.11/0.70 % (11419)------------------------------
% 1.11/0.70 % (11419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.70 % (11419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.70 % (11419)Termination reason: Unknown
% 1.11/0.70 % (11419)Termination phase: Saturation
% 1.11/0.70
% 1.11/0.70 % (11419)Memory used [KB]: 6140
% 1.11/0.70 % (11419)Time elapsed: 0.132 s
% 1.11/0.70 % (11419)Instructions burned: 48 (million)
% 1.11/0.70 % (11419)------------------------------
% 1.11/0.70 % (11419)------------------------------
% 1.11/0.70 % (11421)Instruction limit reached!
% 1.11/0.70 % (11421)------------------------------
% 1.11/0.70 % (11421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.70 % (11421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.70 % (11421)Termination reason: Unknown
% 1.11/0.70 % (11421)Termination phase: Saturation
% 1.11/0.70
% 1.11/0.70 % (11421)Memory used [KB]: 5500
% 1.11/0.70 % (11421)Time elapsed: 0.082 s
% 1.11/0.70 % (11421)Instructions burned: 7 (million)
% 1.11/0.70 % (11421)------------------------------
% 1.11/0.70 % (11421)------------------------------
% 1.11/0.71 % (11428)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 (2998ds/68Mi)
% 1.11/0.71 TRYING [4]
% 1.66/0.71 % (11442)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 (2998ds/68Mi)
% 1.66/0.72 % (11422)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.66/0.72 % (11433)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.66/0.72 % (11422)Instruction limit reached!
% 1.66/0.72 % (11422)------------------------------
% 1.66/0.72 % (11422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.72 % (11422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.72 % (11422)Termination reason: Unknown
% 1.66/0.72 % (11422)Termination phase: Saturation
% 1.66/0.72
% 1.66/0.72 % (11422)Memory used [KB]: 5373
% 1.66/0.72 % (11422)Time elapsed: 0.153 s
% 1.66/0.72 % (11422)Instructions burned: 2 (million)
% 1.66/0.72 % (11422)------------------------------
% 1.66/0.72 % (11422)------------------------------
% 1.66/0.72 % (11432)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.66/0.72 TRYING [1]
% 1.66/0.72 TRYING [2]
% 1.66/0.72 % (11435)First to succeed.
% 1.66/0.72 % (11437)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 (2998ds/498Mi)
% 1.66/0.73 TRYING [3]
% 1.66/0.74 % (11435)Refutation found. Thanks to Tanya!
% 1.66/0.74 % SZS status Unsatisfiable for theBenchmark
% 1.66/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.74 % (11435)------------------------------
% 1.66/0.74 % (11435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.74 % (11435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.74 % (11435)Termination reason: Refutation
% 1.66/0.74
% 1.66/0.74 % (11435)Memory used [KB]: 6140
% 1.66/0.74 % (11435)Time elapsed: 0.141 s
% 1.66/0.74 % (11435)Instructions burned: 37 (million)
% 1.66/0.74 % (11435)------------------------------
% 1.66/0.74 % (11435)------------------------------
% 1.66/0.74 % (11186)Success in time 0.388 s
%------------------------------------------------------------------------------