TSTP Solution File: GRP522-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP522-1 : 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 16:22:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,plain,
$false,
inference(subsumption_resolution,[],[f199,f8]) ).
fof(f8,plain,
a2 != sF2,
inference(definition_folding,[],[f4,f7,f6,f5]) ).
fof(f5,plain,
inverse(b2) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
multiply(sF0,b2) = sF1,
introduced(function_definition,[]) ).
fof(f7,plain,
sF2 = multiply(sF1,a2),
introduced(function_definition,[]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f199,plain,
a2 = sF2,
inference(backward_demodulation,[],[f7,f197]) ).
fof(f197,plain,
! [X10] : multiply(sF1,X10) = X10,
inference(backward_demodulation,[],[f47,f196]) ).
fof(f196,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f172,f194]) ).
fof(f194,plain,
! [X2] : inverse(divide(X2,sF1)) = inverse(X2),
inference(superposition,[],[f26,f68]) ).
fof(f68,plain,
! [X4] : multiply(inverse(X4),X4) = sF1,
inference(superposition,[],[f9,f55]) ).
fof(f55,plain,
! [X0] : sF1 = divide(X0,X0),
inference(backward_demodulation,[],[f24,f54]) ).
fof(f54,plain,
! [X3,X4] : sF1 = divide(X3,multiply(X4,divide(X3,X4))),
inference(forward_demodulation,[],[f43,f9]) ).
fof(f43,plain,
! [X3,X4] : divide(X3,divide(X4,inverse(divide(X3,X4)))) = sF1,
inference(superposition,[],[f1,f33]) ).
fof(f33,plain,
! [X0] : inverse(X0) = divide(sF1,X0),
inference(forward_demodulation,[],[f30,f6]) ).
fof(f30,plain,
! [X0] : inverse(X0) = divide(multiply(sF0,b2),X0),
inference(superposition,[],[f3,f11]) ).
fof(f11,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF0),
inference(superposition,[],[f9,f5]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f24,plain,
! [X2,X0,X1] : divide(X1,multiply(X2,divide(X1,X2))) = divide(X0,X0),
inference(forward_demodulation,[],[f18,f9]) ).
fof(f18,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(X1,divide(X2,inverse(divide(X1,X2)))),
inference(superposition,[],[f1,f3]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f26,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f25,f9]) ).
fof(f25,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
inference(forward_demodulation,[],[f22,f3]) ).
fof(f22,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(divide(X0,X0),X1)))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f172,plain,
! [X1] : inverse(inverse(divide(X1,sF1))) = X1,
inference(backward_demodulation,[],[f62,f169]) ).
fof(f169,plain,
! [X2] : multiply(X2,sF1) = divide(X2,sF1),
inference(superposition,[],[f9,f70]) ).
fof(f70,plain,
inverse(sF1) = sF1,
inference(superposition,[],[f33,f55]) ).
fof(f62,plain,
! [X1] : inverse(inverse(multiply(X1,sF1))) = X1,
inference(backward_demodulation,[],[f36,f55]) ).
fof(f36,plain,
! [X0,X1] : inverse(inverse(multiply(X1,divide(X0,X0)))) = X1,
inference(superposition,[],[f26,f3]) ).
fof(f47,plain,
! [X10] : inverse(inverse(X10)) = multiply(sF1,X10),
inference(superposition,[],[f9,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP522-1 : 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
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:28:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.54 % (12368)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)
% 0.20/0.55 % (12360)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (12362)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (12362)Instruction limit reached!
% 0.20/0.55 % (12362)------------------------------
% 0.20/0.55 % (12362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12362)Termination reason: Unknown
% 0.20/0.55 % (12362)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (12362)Memory used [KB]: 5373
% 0.20/0.55 % (12362)Time elapsed: 0.119 s
% 0.20/0.55 % (12362)Instructions burned: 2 (million)
% 0.20/0.55 % (12362)------------------------------
% 0.20/0.55 % (12362)------------------------------
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (12371)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (12378)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (12376)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)
% 0.20/0.56 TRYING [4]
% 0.20/0.58 % (12378)First to succeed.
% 0.20/0.59 % (12378)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (12378)------------------------------
% 0.20/0.59 % (12378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (12378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (12378)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (12378)Memory used [KB]: 5628
% 0.20/0.59 % (12378)Time elapsed: 0.150 s
% 0.20/0.59 % (12378)Instructions burned: 13 (million)
% 0.20/0.59 % (12378)------------------------------
% 0.20/0.59 % (12378)------------------------------
% 0.20/0.59 % (12353)Success in time 0.227 s
%------------------------------------------------------------------------------