TSTP Solution File: GRP553-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP553-1 : 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 : n022.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 16:22:50 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(trivial_inequality_removal,[],[f222]) ).
fof(f222,plain,
sF1 != sF1,
inference(superposition,[],[f9,f209]) ).
fof(f209,plain,
sF3 = sF1,
inference(forward_demodulation,[],[f208,f126]) ).
fof(f126,plain,
! [X4] : divide(X4,sF1) = X4,
inference(forward_demodulation,[],[f125,f64]) ).
fof(f64,plain,
! [X2,X1] : divide(X1,inverse(divide(X2,X1))) = X2,
inference(superposition,[],[f12,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(f12,plain,
! [X2,X3,X4,X5] : divide(divide(divide(X2,inverse(divide(X3,divide(X2,X4)))),inverse(divide(X5,X3))),X4) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f125,plain,
! [X3,X4] : divide(divide(X3,inverse(divide(X4,X3))),sF1) = X4,
inference(forward_demodulation,[],[f121,f64]) ).
fof(f121,plain,
! [X3,X4] : divide(divide(divide(sF1,inverse(divide(X3,sF1))),inverse(divide(X4,X3))),sF1) = X4,
inference(superposition,[],[f12,f116]) ).
fof(f116,plain,
sF1 = divide(sF1,sF1),
inference(forward_demodulation,[],[f107,f6]) ).
fof(f6,plain,
sF1 = divide(sF0,sF0),
introduced(function_definition,[]) ).
fof(f107,plain,
divide(divide(sF0,sF0),sF1) = sF1,
inference(superposition,[],[f20,f99]) ).
fof(f99,plain,
divide(sF0,inverse(sF1)) = sF0,
inference(superposition,[],[f64,f6]) ).
fof(f20,plain,
! [X1] : divide(divide(divide(sF0,inverse(X1)),sF0),sF1) = X1,
inference(superposition,[],[f1,f14]) ).
fof(f14,plain,
! [X0,X1] : divide(divide(sF0,inverse(X1)),sF0) = divide(X0,inverse(divide(X1,divide(X0,sF1)))),
inference(superposition,[],[f10,f1]) ).
fof(f10,plain,
! [X0] : divide(divide(sF0,inverse(divide(X0,sF1))),sF0) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f208,plain,
sF3 = divide(sF1,sF1),
inference(forward_demodulation,[],[f204,f6]) ).
fof(f204,plain,
divide(divide(sF0,sF0),sF1) = sF3,
inference(superposition,[],[f20,f176]) ).
fof(f176,plain,
! [X3] : divide(X3,inverse(sF3)) = X3,
inference(forward_demodulation,[],[f175,f64]) ).
fof(f175,plain,
! [X2,X3] : divide(divide(X2,inverse(divide(X3,X2))),inverse(sF3)) = X3,
inference(forward_demodulation,[],[f172,f64]) ).
fof(f172,plain,
! [X2,X3] : divide(divide(divide(sF2,inverse(divide(X2,sF2))),inverse(divide(X3,X2))),inverse(sF3)) = X3,
inference(superposition,[],[f12,f100]) ).
fof(f100,plain,
sF2 = divide(sF2,inverse(sF3)),
inference(superposition,[],[f64,f8]) ).
fof(f8,plain,
sF3 = divide(sF2,sF2),
introduced(function_definition,[]) ).
fof(f9,plain,
sF3 != sF1,
inference(definition_folding,[],[f4,f8,f7,f7,f6,f5,f5]) ).
fof(f5,plain,
inverse(b1) = sF0,
introduced(function_definition,[]) ).
fof(f7,plain,
inverse(a1) = sF2,
introduced(function_definition,[]) ).
fof(f4,plain,
divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(definition_unfolding,[],[f3,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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP553-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:34:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (19569)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)
% 0.19/0.48 TRYING [1]
% 0.19/0.48 % (19576)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.48 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.49 TRYING [4]
% 0.19/0.49 % (19576)Instruction limit reached!
% 0.19/0.49 % (19576)------------------------------
% 0.19/0.49 % (19576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (19582)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (19576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19576)Termination reason: Unknown
% 0.19/0.50 % (19576)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (19576)Memory used [KB]: 5500
% 0.19/0.50 % (19576)Time elapsed: 0.097 s
% 0.19/0.50 % (19576)Instructions burned: 8 (million)
% 0.19/0.50 % (19576)------------------------------
% 0.19/0.50 % (19576)------------------------------
% 0.19/0.50 % (19581)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50 % (19585)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)
% 0.19/0.51 % (19583)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)
% 0.19/0.51 % (19572)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)
% 0.19/0.51 % (19573)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (19597)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.51 % (19579)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52 % (19574)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)
% 0.19/0.52 % (19570)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)
% 0.19/0.52 % (19578)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)
% 0.19/0.52 % (19577)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52 % (19580)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)
% 0.19/0.52 % (19577)Instruction limit reached!
% 0.19/0.52 % (19577)------------------------------
% 0.19/0.52 % (19577)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19577)Termination reason: Unknown
% 0.19/0.52 % (19577)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (19577)Memory used [KB]: 5373
% 0.19/0.52 % (19577)Time elapsed: 0.002 s
% 0.19/0.52 % (19577)Instructions burned: 2 (million)
% 0.19/0.52 % (19577)------------------------------
% 0.19/0.52 % (19577)------------------------------
% 0.19/0.52 % (19589)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)
% 0.19/0.52 % (19575)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (19580)First to succeed.
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (19590)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.53 % (19587)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.53 % (19595)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)
% 0.19/0.53 % (19580)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (19580)------------------------------
% 0.19/0.53 % (19580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19580)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (19580)Memory used [KB]: 5628
% 0.19/0.53 % (19580)Time elapsed: 0.132 s
% 0.19/0.53 % (19580)Instructions burned: 11 (million)
% 0.19/0.53 % (19580)------------------------------
% 0.19/0.53 % (19580)------------------------------
% 0.19/0.53 % (19568)Success in time 0.182 s
%------------------------------------------------------------------------------