TSTP Solution File: GRP608-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n027.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 16:23:00 EDT 2022
% Result : Unsatisfiable 1.69s 0.61s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(backward_demodulation,[],[f4,f310]) ).
fof(f310,plain,
! [X2,X1] : double_divide(X2,X1) = double_divide(X1,X2),
inference(superposition,[],[f290,f282]) ).
fof(f282,plain,
! [X18,X17] : double_divide(double_divide(X17,X18),X17) = X18,
inference(forward_demodulation,[],[f252,f149]) ).
fof(f149,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f143,f121]) ).
fof(f121,plain,
! [X6,X5] : double_divide(inverse(double_divide(inverse(X5),X5)),inverse(X6)) = X6,
inference(superposition,[],[f84,f105]) ).
fof(f105,plain,
! [X2,X3] : double_divide(inverse(X3),double_divide(inverse(X2),X2)) = X3,
inference(superposition,[],[f11,f84]) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(inverse(double_divide(inverse(double_divide(X2,inverse(X1))),X3)),double_divide(X2,X3)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,inverse(X1))),X3) = double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f84,plain,
! [X2,X1] : double_divide(inverse(double_divide(inverse(X2),inverse(X1))),X2) = X1,
inference(backward_demodulation,[],[f1,f83]) ).
fof(f83,plain,
! [X3,X1,X4] : double_divide(inverse(X1),inverse(X3)) = double_divide(X4,inverse(double_divide(inverse(X3),double_divide(X4,X1)))),
inference(backward_demodulation,[],[f7,f79]) ).
fof(f79,plain,
! [X10,X8,X9,X7] : double_divide(inverse(X7),inverse(X8)) = double_divide(inverse(double_divide(inverse(double_divide(X9,inverse(double_divide(inverse(X7),double_divide(X9,X10))))),inverse(X8))),X10),
inference(backward_demodulation,[],[f38,f64]) ).
fof(f64,plain,
! [X3,X6,X4,X5] : double_divide(inverse(X5),inverse(X6)) = double_divide(inverse(double_divide(X3,inverse(double_divide(inverse(X4),double_divide(X3,X5))))),inverse(double_divide(inverse(X6),X4))),
inference(superposition,[],[f41,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f41,plain,
! [X2,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X2),X1))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f38,plain,
! [X10,X8,X6,X9,X7,X5] : double_divide(inverse(double_divide(X5,inverse(double_divide(inverse(X6),double_divide(X5,X7))))),inverse(double_divide(inverse(X8),X6))) = double_divide(inverse(double_divide(inverse(double_divide(X9,inverse(double_divide(inverse(X7),double_divide(X9,X10))))),inverse(X8))),X10),
inference(superposition,[],[f5,f5]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(X3))),X2) = double_divide(X4,inverse(double_divide(inverse(X3),double_divide(X4,X1)))),
inference(superposition,[],[f6,f1]) ).
fof(f143,plain,
! [X18,X17] : double_divide(inverse(double_divide(inverse(X18),inverse(X17))),X17) = X18,
inference(forward_demodulation,[],[f139,f121]) ).
fof(f139,plain,
! [X18,X16,X17] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X16),X16)),inverse(X18))),inverse(X17))),X17) = X18,
inference(superposition,[],[f11,f121]) ).
fof(f252,plain,
! [X18,X17] : double_divide(double_divide(inverse(inverse(X17)),X18),X17) = X18,
inference(backward_demodulation,[],[f143,f225]) ).
fof(f225,plain,
! [X4,X5] : double_divide(inverse(X4),X5) = inverse(double_divide(inverse(X5),X4)),
inference(superposition,[],[f185,f41]) ).
fof(f185,plain,
! [X6,X5] : double_divide(inverse(X6),double_divide(inverse(X6),X5)) = X5,
inference(backward_demodulation,[],[f102,f145]) ).
fof(f145,plain,
! [X2,X3] : double_divide(inverse(X3),X2) = double_divide(inverse(inverse(X2)),inverse(X3)),
inference(superposition,[],[f143,f84]) ).
fof(f102,plain,
! [X6,X5] : double_divide(inverse(X6),double_divide(inverse(inverse(X5)),inverse(X6))) = X5,
inference(forward_demodulation,[],[f69,f83]) ).
fof(f69,plain,
! [X6,X4,X5] : double_divide(inverse(X6),double_divide(X4,inverse(double_divide(inverse(X6),double_divide(X4,inverse(X5)))))) = X5,
inference(superposition,[],[f11,f41]) ).
fof(f290,plain,
! [X2,X1] : double_divide(double_divide(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f251,f149]) ).
fof(f251,plain,
! [X2,X1] : double_divide(double_divide(inverse(inverse(X1)),X2),X2) = X1,
inference(backward_demodulation,[],[f84,f225]) ).
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',multiply) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.13 % 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 : n027.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 22:49:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (1667)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)
% 0.19/0.48 % (1675)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)
% 0.19/0.52 % (1659)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.53 % (1660)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.53 % (1660)Instruction limit reached!
% 0.19/0.53 % (1660)------------------------------
% 0.19/0.53 % (1660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1660)Termination reason: Unknown
% 0.19/0.53 % (1660)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1660)Memory used [KB]: 5373
% 0.19/0.53 % (1660)Time elapsed: 0.125 s
% 0.19/0.53 % (1660)Instructions burned: 2 (million)
% 0.19/0.53 % (1660)------------------------------
% 0.19/0.53 % (1660)------------------------------
% 0.19/0.53 % (1674)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)
% 0.19/0.53 % (1656)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53 % (1655)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)
% 0.19/0.53 % (1664)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.53 % (1663)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)
% 0.19/0.53 % (1657)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 (3000ds/48Mi)
% 0.19/0.54 % (1661)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 (3000ds/51Mi)
% 0.19/0.54 % (1662)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.54 % (1666)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)
% 0.19/0.54 % (1672)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 (3000ds/176Mi)
% 0.19/0.54 % (1671)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 (3000ds/100Mi)
% 0.19/0.54 % (1665)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.54 % (1677)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.54 % (1670)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.55 % (1658)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)
% 0.19/0.55 % (1673)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 1.55/0.55 % (1652)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 (3000ds/191324Mi)
% 1.55/0.55 % (1679)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 (3000ds/177Mi)
% 1.55/0.55 % (1669)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.55/0.55 TRYING [1]
% 1.55/0.55 TRYING [2]
% 1.55/0.55 % (1678)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)
% 1.55/0.55 TRYING [1]
% 1.55/0.55 TRYING [3]
% 1.55/0.55 TRYING [2]
% 1.55/0.55 % (1659)Instruction limit reached!
% 1.55/0.55 % (1659)------------------------------
% 1.55/0.55 % (1659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (1659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (1659)Termination reason: Unknown
% 1.55/0.55 % (1659)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (1659)Memory used [KB]: 5500
% 1.55/0.55 % (1659)Time elapsed: 0.124 s
% 1.55/0.55 % (1659)Instructions burned: 9 (million)
% 1.55/0.55 % (1659)------------------------------
% 1.55/0.55 % (1659)------------------------------
% 1.55/0.55 % (1681)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 (3000ds/355Mi)
% 1.55/0.55 % (1653)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)
% 1.55/0.55 % (1654)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 (3000ds/37Mi)
% 1.55/0.55 TRYING [3]
% 1.55/0.56 % (1680)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.55/0.56 % (1668)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 (3000ds/99Mi)
% 1.55/0.56 % (1676)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.69/0.57 TRYING [4]
% 1.69/0.57 TRYING [4]
% 1.69/0.58 TRYING [4]
% 1.69/0.60 % (1658)Instruction limit reached!
% 1.69/0.60 % (1658)------------------------------
% 1.69/0.60 % (1658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (1658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (1658)Termination reason: Unknown
% 1.69/0.60 % (1658)Termination phase: Finite model building SAT solving
% 1.69/0.60
% 1.69/0.60 % (1658)Memory used [KB]: 6524
% 1.69/0.60 % (1658)Time elapsed: 0.130 s
% 1.69/0.60 % (1658)Instructions burned: 52 (million)
% 1.69/0.60 % (1658)------------------------------
% 1.69/0.60 % (1658)------------------------------
% 1.69/0.61 % (1654)Instruction limit reached!
% 1.69/0.61 % (1654)------------------------------
% 1.69/0.61 % (1654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (1654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (1654)Termination reason: Unknown
% 1.69/0.61 % (1654)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (1654)Memory used [KB]: 1663
% 1.69/0.61 % (1654)Time elapsed: 0.193 s
% 1.69/0.61 % (1654)Instructions burned: 38 (million)
% 1.69/0.61 % (1654)------------------------------
% 1.69/0.61 % (1654)------------------------------
% 1.69/0.61 % (1653)First to succeed.
% 1.69/0.61 % (1653)Refutation found. Thanks to Tanya!
% 1.69/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.69/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.62 % (1653)------------------------------
% 1.69/0.62 % (1653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62 % (1653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62 % (1653)Termination reason: Refutation
% 1.69/0.62
% 1.69/0.62 % (1653)Memory used [KB]: 5884
% 1.69/0.62 % (1653)Time elapsed: 0.197 s
% 1.69/0.62 % (1653)Instructions burned: 41 (million)
% 1.69/0.62 % (1653)------------------------------
% 1.69/0.62 % (1653)------------------------------
% 1.69/0.62 % (1651)Success in time 0.256 s
%------------------------------------------------------------------------------