TSTP Solution File: GRP520-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP520-1 : 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 : n024.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 16:22:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 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 : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(trivial_inequality_removal,[],[f144]) ).
fof(f144,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
! [X6,X5] : multiply(X5,X6) = multiply(X6,X5),
inference(superposition,[],[f11,f72]) ).
fof(f72,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f54,f66]) ).
fof(f66,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f54,f54]) ).
fof(f54,plain,
! [X0,X4] : multiply(X0,multiply(inverse(X0),X4)) = X4,
inference(forward_demodulation,[],[f44,f11]) ).
fof(f44,plain,
! [X3,X0,X4] : multiply(X0,multiply(inverse(X0),multiply(multiply(inverse(X3),X4),X3))) = X4,
inference(backward_demodulation,[],[f37,f39]) ).
fof(f39,plain,
! [X8,X6,X4] : multiply(X6,multiply(X4,X8)) = multiply(multiply(X6,X4),X8),
inference(forward_demodulation,[],[f38,f24]) ).
fof(f24,plain,
! [X6,X7,X5] : multiply(multiply(inverse(X6),X7),multiply(X6,X5)) = multiply(X7,X5),
inference(forward_demodulation,[],[f23,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X4] : multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))) = multiply(X2,X0),
inference(backward_demodulation,[],[f5,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X2,X0),
inference(superposition,[],[f11,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))) = multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f23,plain,
! [X10,X6,X9,X7,X5] : multiply(multiply(inverse(X6),X7),multiply(X6,X5)) = multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))),
inference(backward_demodulation,[],[f6,f18]) ).
fof(f6,plain,
! [X10,X8,X6,X9,X7,X5] : multiply(multiply(inverse(X6),X7),multiply(multiply(inverse(multiply(inverse(X5),X8)),X6),X8)) = multiply(X9,multiply(X7,multiply(multiply(inverse(multiply(X9,X10)),X5),X10))),
inference(superposition,[],[f3,f3]) ).
fof(f38,plain,
! [X8,X6,X4,X5] : multiply(multiply(multiply(inverse(X5),X6),multiply(X5,X4)),X8) = multiply(X6,multiply(X4,X8)),
inference(forward_demodulation,[],[f27,f18]) ).
fof(f27,plain,
! [X8,X6,X7,X4,X5] : multiply(multiply(multiply(inverse(X5),X6),multiply(multiply(inverse(multiply(inverse(X4),X7)),X5),X7)),X8) = multiply(X6,multiply(X4,X8)),
inference(superposition,[],[f24,f3]) ).
fof(f37,plain,
! [X3,X0,X4] : multiply(X0,multiply(multiply(inverse(X0),multiply(inverse(X3),X4)),X3)) = X4,
inference(backward_demodulation,[],[f7,f29]) ).
fof(f29,plain,
! [X8,X6,X7,X4,X5] : multiply(X8,multiply(multiply(inverse(X5),X6),multiply(multiply(inverse(multiply(X4,X7)),X5),X7))) = multiply(multiply(inverse(X4),X8),X6),
inference(superposition,[],[f24,f3]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(multiply(inverse(X3),X4),multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1)))) = X4,
inference(superposition,[],[f3,f1]) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f2,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % 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 : n024.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 22:33:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (31478)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.45 % (31466)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)
% 0.20/0.46 % (31466)First to succeed.
% 0.20/0.48 % (31466)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (31466)------------------------------
% 0.20/0.48 % (31466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (31466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (31466)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (31466)Memory used [KB]: 1151
% 0.20/0.48 % (31466)Time elapsed: 0.066 s
% 0.20/0.48 % (31466)Instructions burned: 13 (million)
% 0.20/0.48 % (31466)------------------------------
% 0.20/0.48 % (31466)------------------------------
% 0.20/0.48 % (31456)Success in time 0.132 s
%------------------------------------------------------------------------------