TSTP Solution File: GRP481-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP481-1 : 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 : n019.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 16:22:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(subsumption_resolution,[],[f149,f11]) ).
fof(f11,plain,
identity != sF2,
inference(definition_folding,[],[f7,f10,f9,f8]) ).
fof(f8,plain,
double_divide(a1,identity) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
double_divide(a1,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
double_divide(sF1,identity) = sF2,
introduced(function_definition,[]) ).
fof(f7,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f5,f2,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
identity != multiply(inverse(a1),a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f149,plain,
identity = sF2,
inference(backward_demodulation,[],[f17,f148]) ).
fof(f148,plain,
identity = double_divide(identity,identity),
inference(backward_demodulation,[],[f146,f147]) ).
fof(f147,plain,
identity = double_divide(sF2,identity),
inference(backward_demodulation,[],[f134,f146]) ).
fof(f134,plain,
identity = double_divide(sF2,double_divide(identity,double_divide(sF2,identity))),
inference(forward_demodulation,[],[f115,f17]) ).
fof(f115,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(sF2,identity))),
inference(superposition,[],[f54,f57]) ).
fof(f57,plain,
! [X0,X1] : identity = double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),X0),X1),
inference(backward_demodulation,[],[f24,f56]) ).
fof(f56,plain,
! [X0] : double_divide(sF2,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f44,f17]) ).
fof(f44,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(X0,identity)) = X0,
inference(superposition,[],[f22,f6]) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f22,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X0,identity))),X0) = X1,
inference(superposition,[],[f12,f6]) ).
fof(f12,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,identity),double_divide(X0,identity))),X1) = X2,
inference(backward_demodulation,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f24,plain,
! [X0,X1] : identity = double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(sF2,double_divide(X0,identity))),X1),
inference(superposition,[],[f12,f17]) ).
fof(f54,plain,
! [X1] : identity = double_divide(double_divide(identity,double_divide(double_divide(X1,identity),sF2)),X1),
inference(backward_demodulation,[],[f33,f51]) ).
fof(f51,plain,
! [X2,X3] : double_divide(identity,double_divide(double_divide(X3,identity),sF2)) = double_divide(double_divide(X2,sF2),double_divide(double_divide(X3,identity),double_divide(X2,identity))),
inference(backward_demodulation,[],[f32,f50]) ).
fof(f50,plain,
! [X3,X4,X5] : double_divide(identity,double_divide(double_divide(X3,identity),sF2)) = double_divide(double_divide(double_divide(X4,double_divide(X5,identity)),double_divide(X3,double_divide(X4,identity))),X5),
inference(forward_demodulation,[],[f46,f17]) ).
fof(f46,plain,
! [X3,X4,X5] : double_divide(identity,double_divide(double_divide(X3,identity),double_divide(identity,identity))) = double_divide(double_divide(double_divide(X4,double_divide(X5,identity)),double_divide(X3,double_divide(X4,identity))),X5),
inference(superposition,[],[f12,f22]) ).
fof(f32,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(double_divide(X4,double_divide(X5,identity)),double_divide(X3,double_divide(X4,identity))),X5) = double_divide(double_divide(X2,sF2),double_divide(double_divide(X3,identity),double_divide(X2,identity))),
inference(forward_demodulation,[],[f25,f17]) ).
fof(f25,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(X2,double_divide(identity,identity)),double_divide(double_divide(X3,identity),double_divide(X2,identity))) = double_divide(double_divide(double_divide(X4,double_divide(X5,identity)),double_divide(X3,double_divide(X4,identity))),X5),
inference(superposition,[],[f12,f12]) ).
fof(f33,plain,
! [X0,X1] : identity = double_divide(double_divide(double_divide(X0,sF2),double_divide(double_divide(X1,identity),double_divide(X0,identity))),X1),
inference(forward_demodulation,[],[f31,f17]) ).
fof(f31,plain,
! [X0,X1] : identity = double_divide(double_divide(double_divide(X0,double_divide(identity,identity)),double_divide(double_divide(X1,identity),double_divide(X0,identity))),X1),
inference(superposition,[],[f6,f12]) ).
fof(f146,plain,
identity = double_divide(identity,double_divide(sF2,identity)),
inference(forward_demodulation,[],[f114,f61]) ).
fof(f61,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(forward_demodulation,[],[f36,f56]) ).
fof(f36,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(sF2,double_divide(X0,identity))),X0),
inference(superposition,[],[f22,f17]) ).
fof(f114,plain,
double_divide(identity,double_divide(sF2,identity)) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[],[f55,f57]) ).
fof(f55,plain,
! [X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),sF2)),identity) = X1,
inference(backward_demodulation,[],[f19,f51]) ).
fof(f19,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,sF2),double_divide(double_divide(X1,identity),double_divide(X0,identity))),identity) = X1,
inference(superposition,[],[f12,f17]) ).
fof(f17,plain,
double_divide(identity,identity) = sF2,
inference(backward_demodulation,[],[f10,f15]) ).
fof(f15,plain,
identity = sF1,
inference(backward_demodulation,[],[f9,f13]) ).
fof(f13,plain,
identity = double_divide(a1,sF0),
inference(superposition,[],[f6,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:34:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (28624)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)
% 0.20/0.50 % (28616)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51 % (28609)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)
% 0.20/0.52 % (28605)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 % (28616)First to succeed.
% 0.20/0.52 % (28605)Also succeeded, but the first one will report.
% 0.20/0.53 % (28620)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 (3000ds/498Mi)
% 0.20/0.53 % (28616)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (28616)------------------------------
% 0.20/0.53 % (28616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28616)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (28616)Memory used [KB]: 5500
% 0.20/0.53 % (28616)Time elapsed: 0.104 s
% 0.20/0.53 % (28616)Instructions burned: 10 (million)
% 0.20/0.53 % (28616)------------------------------
% 0.20/0.53 % (28616)------------------------------
% 0.20/0.53 % (28597)Success in time 0.171 s
%------------------------------------------------------------------------------