TSTP Solution File: GRP497-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP497-1 : 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 : n021.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 16:22:41 EDT 2022
% Result : Unsatisfiable 1.64s 0.56s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f280,plain,
$false,
inference(subsumption_resolution,[],[f279,f10]) ).
fof(f10,plain,
a2 != sF1,
inference(definition_folding,[],[f7,f9,f8]) ).
fof(f8,plain,
double_divide(a2,identity) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
double_divide(sF0,identity) = sF1,
introduced(function_definition,[]) ).
fof(f7,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f279,plain,
a2 = sF1,
inference(backward_demodulation,[],[f54,f270]) ).
fof(f270,plain,
a2 = double_divide(identity,sF0),
inference(backward_demodulation,[],[f138,f259]) ).
fof(f259,plain,
double_divide(identity,sF1) = sF0,
inference(backward_demodulation,[],[f133,f258]) ).
fof(f258,plain,
double_divide(sF1,identity) = sF0,
inference(forward_demodulation,[],[f257,f54]) ).
fof(f257,plain,
double_divide(double_divide(identity,sF0),identity) = sF0,
inference(forward_demodulation,[],[f256,f77]) ).
fof(f77,plain,
sF0 = double_divide(identity,a2),
inference(backward_demodulation,[],[f33,f76]) ).
fof(f76,plain,
a2 = double_divide(double_divide(identity,sF1),identity),
inference(forward_demodulation,[],[f64,f54]) ).
fof(f64,plain,
a2 = double_divide(double_divide(identity,double_divide(identity,sF0)),identity),
inference(superposition,[],[f28,f8]) ).
fof(f28,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(backward_demodulation,[],[f23,f26]) ).
fof(f26,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f23,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f33,plain,
sF0 = double_divide(identity,double_divide(double_divide(identity,sF1),identity)),
inference(superposition,[],[f27,f9]) ).
fof(f27,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(backward_demodulation,[],[f15,f26]) ).
fof(f15,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f256,plain,
double_divide(double_divide(identity,double_divide(identity,a2)),identity) = sF0,
inference(forward_demodulation,[],[f255,f26]) ).
fof(f255,plain,
sF0 = double_divide(double_divide(identity,double_divide(identity,a2)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f227,f122]) ).
fof(f122,plain,
identity = double_divide(double_divide(identity,sF1),sF1),
inference(forward_demodulation,[],[f121,f54]) ).
fof(f121,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF0)),sF1),
inference(forward_demodulation,[],[f120,f9]) ).
fof(f120,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF0)),double_divide(sF0,identity)),
inference(forward_demodulation,[],[f87,f8]) ).
fof(f87,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF0)),double_divide(double_divide(a2,identity),identity)),
inference(superposition,[],[f13,f26]) ).
fof(f13,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,sF0)),double_divide(double_divide(a2,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f227,plain,
sF0 = double_divide(double_divide(identity,double_divide(identity,a2)),double_divide(double_divide(double_divide(identity,sF1),sF1),identity)),
inference(superposition,[],[f18,f76]) ).
fof(f18,plain,
! [X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),double_divide(double_divide(X1,sF1),identity)) = sF0,
inference(superposition,[],[f1,f9]) ).
fof(f133,plain,
double_divide(identity,sF1) = double_divide(sF1,identity),
inference(forward_demodulation,[],[f132,f54]) ).
fof(f132,plain,
double_divide(identity,sF1) = double_divide(double_divide(identity,sF0),identity),
inference(forward_demodulation,[],[f126,f77]) ).
fof(f126,plain,
double_divide(identity,sF1) = double_divide(double_divide(identity,double_divide(identity,a2)),identity),
inference(superposition,[],[f28,f76]) ).
fof(f138,plain,
a2 = double_divide(identity,double_divide(identity,sF1)),
inference(backward_demodulation,[],[f48,f133]) ).
fof(f48,plain,
a2 = double_divide(identity,double_divide(sF1,identity)),
inference(forward_demodulation,[],[f38,f9]) ).
fof(f38,plain,
a2 = double_divide(identity,double_divide(double_divide(sF0,identity),identity)),
inference(superposition,[],[f27,f11]) ).
fof(f11,plain,
identity = double_divide(a2,sF0),
inference(superposition,[],[f6,f8]) ).
fof(f54,plain,
sF1 = double_divide(identity,sF0),
inference(forward_demodulation,[],[f51,f8]) ).
fof(f51,plain,
sF1 = double_divide(identity,double_divide(a2,identity)),
inference(superposition,[],[f27,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % 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 : n021.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 22:28:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (29211)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 (2999ds/99Mi)
% 0.20/0.52 % (29202)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (29203)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (29219)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (29218)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 (2999ds/467Mi)
% 0.20/0.53 % (29210)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 (2999ds/75Mi)
% 0.20/0.54 % (29203)Instruction limit reached!
% 0.20/0.54 % (29203)------------------------------
% 0.20/0.54 % (29203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29203)Termination reason: Unknown
% 0.20/0.54 % (29209)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 (2999ds/68Mi)
% 0.20/0.54 % (29203)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29203)Memory used [KB]: 5373
% 0.20/0.54 % (29203)Time elapsed: 0.114 s
% 0.20/0.54 % (29203)Instructions burned: 3 (million)
% 0.20/0.54 % (29203)------------------------------
% 0.20/0.54 % (29203)------------------------------
% 0.20/0.54 % (29201)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (29197)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 (2999ds/37Mi)
% 0.20/0.54 % (29202)Instruction limit reached!
% 0.20/0.54 % (29202)------------------------------
% 0.20/0.54 % (29202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29202)Termination reason: Unknown
% 0.20/0.54 % (29202)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29202)Memory used [KB]: 5500
% 0.20/0.54 % (29202)Time elapsed: 0.118 s
% 0.20/0.54 % (29202)Instructions burned: 8 (million)
% 0.20/0.54 % (29202)------------------------------
% 0.20/0.54 % (29202)------------------------------
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (29200)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 (2999ds/48Mi)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (29199)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (29217)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 (2999ds/498Mi)
% 0.20/0.55 % (29220)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (29212)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56 % (29198)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (29204)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 (2999ds/51Mi)
% 0.20/0.56 % (29196)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 1.64/0.56 % (29216)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.64/0.56 % (29195)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 (2999ds/191324Mi)
% 1.64/0.56 % (29219)First to succeed.
% 1.64/0.56 TRYING [1]
% 1.64/0.56 TRYING [2]
% 1.64/0.56 % (29219)Refutation found. Thanks to Tanya!
% 1.64/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.64/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.56 % (29219)------------------------------
% 1.64/0.56 % (29219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (29219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (29219)Termination reason: Refutation
% 1.64/0.56
% 1.64/0.56 % (29219)Memory used [KB]: 5756
% 1.64/0.56 % (29219)Time elapsed: 0.150 s
% 1.64/0.56 % (29219)Instructions burned: 17 (million)
% 1.64/0.56 % (29219)------------------------------
% 1.64/0.56 % (29219)------------------------------
% 1.64/0.56 % (29194)Success in time 0.213 s
%------------------------------------------------------------------------------