TSTP Solution File: GRP514-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP514-1 : 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 : n011.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 16:22:44 EDT 2022
% Result : Unsatisfiable 1.91s 0.64s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 14 ( 3 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 : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f352,plain,
$false,
inference(subsumption_resolution,[],[f351,f313]) ).
fof(f313,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(backward_demodulation,[],[f21,f280]) ).
fof(f280,plain,
! [X11,X12,X13] : multiply(X13,multiply(X12,inverse(multiply(X12,X11)))) = multiply(X13,inverse(X11)),
inference(backward_demodulation,[],[f145,f260]) ).
fof(f260,plain,
! [X8,X4,X5] : multiply(X4,inverse(X5)) = multiply(X8,multiply(X4,inverse(multiply(X8,X5)))),
inference(forward_demodulation,[],[f259,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f259,plain,
! [X8,X7,X4,X5] : multiply(X4,inverse(multiply(X5,multiply(X7,inverse(X7))))) = multiply(X8,multiply(X4,inverse(multiply(X8,X5)))),
inference(forward_demodulation,[],[f242,f116]) ).
fof(f116,plain,
! [X19,X22,X23,X20] : multiply(X23,multiply(X22,inverse(X19))) = multiply(X23,multiply(X20,inverse(multiply(X19,multiply(X20,inverse(X22)))))),
inference(backward_demodulation,[],[f74,f73]) ).
fof(f73,plain,
! [X18,X16,X17,X15] : multiply(X18,multiply(X16,inverse(X15))) = multiply(X18,multiply(multiply(X16,X17),inverse(multiply(X15,X17)))),
inference(superposition,[],[f56,f1]) ).
fof(f56,plain,
! [X3,X4,X5] : multiply(X3,X4) = multiply(X3,multiply(multiply(X5,X4),inverse(X5))),
inference(superposition,[],[f4,f17]) ).
fof(f17,plain,
! [X18,X16] : multiply(X18,multiply(X16,inverse(X18))) = X16,
inference(forward_demodulation,[],[f16,f9]) ).
fof(f16,plain,
! [X18,X16,X17] : multiply(X18,multiply(X16,inverse(multiply(X18,multiply(X17,inverse(X17)))))) = X16,
inference(superposition,[],[f1,f9]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f74,plain,
! [X21,X19,X22,X23,X20] : multiply(X23,multiply(X22,inverse(X19))) = multiply(X23,multiply(X20,inverse(multiply(X19,multiply(multiply(X20,X21),inverse(multiply(X22,X21))))))),
inference(superposition,[],[f56,f3]) ).
fof(f242,plain,
! [X8,X6,X7,X4,X5] : multiply(X4,inverse(multiply(X5,multiply(X6,inverse(multiply(X7,multiply(X6,inverse(X7)))))))) = multiply(X8,multiply(X4,inverse(multiply(X8,X5)))),
inference(superposition,[],[f168,f98]) ).
fof(f98,plain,
! [X10,X8,X6,X9,X5] : multiply(X9,multiply(X5,inverse(multiply(X9,multiply(X8,inverse(multiply(X10,multiply(X6,inverse(multiply(X5,multiply(X6,inverse(X8)))))))))))) = X10,
inference(backward_demodulation,[],[f6,f73]) ).
fof(f6,plain,
! [X10,X8,X6,X9,X7,X5] : multiply(X9,multiply(X5,inverse(multiply(X9,multiply(X8,inverse(multiply(X10,multiply(X6,inverse(multiply(X5,multiply(multiply(X6,X7),inverse(multiply(X8,X7))))))))))))) = X10,
inference(superposition,[],[f3,f3]) ).
fof(f168,plain,
! [X10,X8,X6,X9,X5] : multiply(X9,multiply(X10,inverse(multiply(X9,multiply(multiply(X10,inverse(X8)),multiply(X6,inverse(multiply(X5,multiply(X6,inverse(X8)))))))))) = X5,
inference(backward_demodulation,[],[f100,f149]) ).
fof(f149,plain,
! [X8,X9,X7] : multiply(multiply(X7,X9),X8) = multiply(multiply(X7,X8),X9),
inference(superposition,[],[f36,f56]) ).
fof(f36,plain,
! [X2,X3,X4] : multiply(X4,X3) = multiply(multiply(X2,X3),multiply(X4,inverse(X2))),
inference(superposition,[],[f3,f21]) ).
fof(f100,plain,
! [X10,X8,X6,X9,X5] : multiply(X9,multiply(X10,inverse(multiply(X9,multiply(multiply(X10,multiply(X6,inverse(multiply(X5,multiply(X6,inverse(X8)))))),inverse(X8)))))) = X5,
inference(backward_demodulation,[],[f8,f73]) ).
fof(f8,plain,
! [X10,X8,X6,X9,X7,X5] : multiply(X9,multiply(X10,inverse(multiply(X9,multiply(multiply(X10,multiply(X6,inverse(multiply(X5,multiply(multiply(X6,X7),inverse(multiply(X8,X7))))))),inverse(X8)))))) = X5,
inference(superposition,[],[f3,f3]) ).
fof(f145,plain,
! [X10,X11,X12,X13] : multiply(X13,multiply(X12,inverse(multiply(X12,X11)))) = multiply(X10,multiply(X13,inverse(multiply(X10,X11)))),
inference(superposition,[],[f36,f21]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f17]) ).
fof(f351,plain,
a2 != multiply(multiply(a2,b2),inverse(b2)),
inference(forward_demodulation,[],[f350,f149]) ).
fof(f350,plain,
a2 != multiply(multiply(a2,inverse(b2)),b2),
inference(backward_demodulation,[],[f2,f346]) ).
fof(f346,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f36,f313]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP514-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:28:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (11107)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)
% 0.21/0.55 TRYING [1]
% 0.21/0.56 TRYING [2]
% 0.21/0.56 TRYING [3]
% 0.21/0.56 TRYING [4]
% 0.21/0.56 % (11124)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)
% 0.21/0.56 % (11116)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)
% 1.60/0.57 % (11115)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)
% 1.60/0.57 % (11108)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.60/0.58 % (11123)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)
% 1.60/0.58 % (11103)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)
% 1.60/0.58 % (11104)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)
% 1.60/0.58 % (11111)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.60/0.58 % (11101)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)
% 1.60/0.58 TRYING [1]
% 1.60/0.58 TRYING [2]
% 1.60/0.59 TRYING [3]
% 1.60/0.59 % (11108)Instruction limit reached!
% 1.60/0.59 % (11108)------------------------------
% 1.60/0.59 % (11108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (11108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (11108)Termination reason: Unknown
% 1.60/0.59 % (11108)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (11108)Memory used [KB]: 5500
% 1.60/0.59 % (11108)Time elapsed: 0.105 s
% 1.60/0.59 % (11108)Instructions burned: 7 (million)
% 1.60/0.59 % (11108)------------------------------
% 1.60/0.59 % (11108)------------------------------
% 1.91/0.59 % (11110)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)
% 1.91/0.59 % (11113)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.91/0.60 % (11114)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.91/0.61 TRYING [4]
% 1.91/0.61 % (11102)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)
% 1.91/0.61 % (11105)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.91/0.61 % (11106)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)
% 1.91/0.61 TRYING [5]
% 1.91/0.61 % (11130)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)
% 1.91/0.62 % (11107)Instruction limit reached!
% 1.91/0.62 % (11107)------------------------------
% 1.91/0.62 % (11107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62 % (11107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62 % (11107)Termination reason: Unknown
% 1.91/0.62 % (11107)Termination phase: Finite model building constraint generation
% 1.91/0.62
% 1.91/0.62 % (11107)Memory used [KB]: 6268
% 1.91/0.62 % (11107)Time elapsed: 0.200 s
% 1.91/0.62 % (11107)Instructions burned: 51 (million)
% 1.91/0.62 % (11107)------------------------------
% 1.91/0.62 % (11107)------------------------------
% 1.91/0.62 % (11125)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.91/0.62 % (11128)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)
% 1.91/0.63 % (11117)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)
% 1.91/0.63 % (11129)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.91/0.63 % (11126)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.91/0.63 % (11119)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.91/0.63 % (11122)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.91/0.63 % (11109)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.91/0.63 % (11124)First to succeed.
% 1.91/0.63 % (11109)Instruction limit reached!
% 1.91/0.63 % (11109)------------------------------
% 1.91/0.63 % (11109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63 % (11109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63 % (11109)Termination reason: Unknown
% 1.91/0.63 % (11109)Termination phase: Saturation
% 1.91/0.63
% 1.91/0.63 % (11109)Memory used [KB]: 5373
% 1.91/0.63 % (11109)Time elapsed: 0.217 s
% 1.91/0.63 % (11109)Instructions burned: 2 (million)
% 1.91/0.63 % (11109)------------------------------
% 1.91/0.63 % (11109)------------------------------
% 1.91/0.63 % (11127)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)
% 1.91/0.64 % (11118)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.91/0.64 TRYING [1]
% 1.91/0.64 TRYING [2]
% 1.91/0.64 TRYING [3]
% 1.91/0.64 % (11124)Refutation found. Thanks to Tanya!
% 1.91/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.91/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.64 % (11124)------------------------------
% 1.91/0.64 % (11124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.64 % (11124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.64 % (11124)Termination reason: Refutation
% 1.91/0.64
% 1.91/0.64 % (11124)Memory used [KB]: 6140
% 1.91/0.64 % (11124)Time elapsed: 0.150 s
% 1.91/0.64 % (11124)Instructions burned: 49 (million)
% 1.91/0.64 % (11124)------------------------------
% 1.91/0.64 % (11124)------------------------------
% 1.91/0.64 % (11100)Success in time 0.283 s
%------------------------------------------------------------------------------