TSTP Solution File: GRP566-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP566-1 : 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 16:22:52 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(trivial_inequality_removal,[],[f72]) ).
fof(f72,plain,
a2 != a2,
inference(superposition,[],[f10,f65]) ).
fof(f65,plain,
a2 = sF1,
inference(superposition,[],[f22,f58]) ).
fof(f58,plain,
a2 = double_divide(double_divide(sF1,identity),double_divide(identity,identity)),
inference(superposition,[],[f1,f57]) ).
fof(f57,plain,
identity = double_divide(double_divide(a2,double_divide(sF1,identity)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f54,f7]) ).
fof(f7,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(f54,plain,
identity = double_divide(double_divide(a2,double_divide(sF1,double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)),
inference(superposition,[],[f1,f52]) ).
fof(f52,plain,
sF1 = double_divide(identity,double_divide(a2,double_divide(identity,identity))),
inference(forward_demodulation,[],[f51,f9]) ).
fof(f9,plain,
sF1 = double_divide(sF0,identity),
introduced(function_definition,[]) ).
fof(f51,plain,
double_divide(sF0,identity) = double_divide(identity,double_divide(a2,double_divide(identity,identity))),
inference(forward_demodulation,[],[f48,f26]) ).
fof(f26,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f22]) ).
fof(f48,plain,
double_divide(identity,double_divide(a2,double_divide(identity,identity))) = double_divide(double_divide(identity,double_divide(sF0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f29]) ).
fof(f29,plain,
sF0 = double_divide(double_divide(identity,double_divide(a2,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f24]) ).
fof(f24,plain,
a2 = double_divide(sF0,double_divide(identity,identity)),
inference(superposition,[],[f22,f8]) ).
fof(f8,plain,
sF0 = double_divide(a2,identity),
introduced(function_definition,[]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f22,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f19,f7]) ).
fof(f19,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f10,plain,
a2 != sF1,
inference(definition_folding,[],[f6,f9,f8]) ).
fof(f6,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP566-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:29:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (32182)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)
% 0.18/0.47 % (32161)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)
% 0.18/0.47 % (32174)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)
% 0.18/0.47 % (32161)First to succeed.
% 0.18/0.48 % (32161)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (32161)------------------------------
% 0.18/0.48 % (32161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (32161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (32161)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (32161)Memory used [KB]: 5500
% 0.18/0.48 % (32161)Time elapsed: 0.091 s
% 0.18/0.48 % (32161)Instructions burned: 4 (million)
% 0.18/0.48 % (32161)------------------------------
% 0.18/0.48 % (32161)------------------------------
% 0.18/0.48 % (32155)Success in time 0.137 s
%------------------------------------------------------------------------------