TSTP Solution File: GRP487-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP487-1 : 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 : n013.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 16:22:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 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 : 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 : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f245,plain,
$false,
inference(trivial_inequality_removal,[],[f230]) ).
fof(f230,plain,
identity != identity,
inference(superposition,[],[f11,f214]) ).
fof(f214,plain,
identity = sF2,
inference(superposition,[],[f110,f209]) ).
fof(f209,plain,
identity = double_divide(sF2,identity),
inference(forward_demodulation,[],[f202,f110]) ).
fof(f202,plain,
identity = double_divide(double_divide(sF2,identity),identity),
inference(superposition,[],[f104,f198]) ).
fof(f198,plain,
identity = double_divide(double_divide(double_divide(identity,double_divide(sF0,identity)),a1),identity),
inference(forward_demodulation,[],[f196,f57]) ).
fof(f57,plain,
identity = double_divide(a1,double_divide(double_divide(double_divide(identity,double_divide(sF0,sF0)),a1),identity)),
inference(superposition,[],[f20,f8]) ).
fof(f8,plain,
double_divide(a1,identity) = sF0,
introduced(function_definition,[]) ).
fof(f20,plain,
! [X2,X3] : double_divide(a1,double_divide(double_divide(double_divide(identity,double_divide(sF0,double_divide(X2,X3))),X2),identity)) = X3,
inference(superposition,[],[f1,f8]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f196,plain,
double_divide(a1,double_divide(double_divide(double_divide(identity,double_divide(sF0,sF0)),a1),identity)) = double_divide(double_divide(double_divide(identity,double_divide(sF0,identity)),a1),identity),
inference(superposition,[],[f20,f58]) ).
fof(f58,plain,
double_divide(a1,double_divide(double_divide(double_divide(identity,double_divide(sF0,identity)),a1),identity)) = sF0,
inference(superposition,[],[f20,f12]) ).
fof(f12,plain,
identity = double_divide(a1,sF0),
inference(superposition,[],[f7,f8]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f104,plain,
! [X5] : identity = double_divide(double_divide(sF2,double_divide(X5,identity)),double_divide(X5,identity)),
inference(superposition,[],[f7,f48]) ).
fof(f48,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(sF2,double_divide(X0,identity)),identity),
inference(forward_demodulation,[],[f44,f22]) ).
fof(f22,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f44,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),X0),identity)) = double_divide(double_divide(sF2,double_divide(X0,identity)),identity),
inference(superposition,[],[f1,f35]) ).
fof(f35,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(sF2,double_divide(X0,identity)),identity)),
inference(forward_demodulation,[],[f31,f16]) ).
fof(f16,plain,
double_divide(identity,identity) = sF2,
inference(superposition,[],[f10,f15]) ).
fof(f15,plain,
identity = sF1,
inference(superposition,[],[f9,f12]) ).
fof(f9,plain,
sF1 = double_divide(a1,sF0),
introduced(function_definition,[]) ).
fof(f10,plain,
double_divide(sF1,identity) = sF2,
introduced(function_definition,[]) ).
fof(f31,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f110,plain,
double_divide(sF2,identity) = sF2,
inference(forward_demodulation,[],[f98,f16]) ).
fof(f98,plain,
double_divide(sF2,identity) = double_divide(identity,identity),
inference(superposition,[],[f48,f7]) ).
fof(f11,plain,
identity != sF2,
inference(definition_folding,[],[f6,f10,f9,f8]) ).
fof(f6,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f5,f2,f3]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP487-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n013.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 22:28:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (20173)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)
% 0.20/0.49 % (20173)First to succeed.
% 0.20/0.50 % (20165)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)
% 0.20/0.52 % (20173)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (20173)------------------------------
% 0.20/0.52 % (20173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (20173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (20173)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (20173)Memory used [KB]: 5628
% 0.20/0.52 % (20173)Time elapsed: 0.100 s
% 0.20/0.52 % (20173)Instructions burned: 11 (million)
% 0.20/0.52 % (20173)------------------------------
% 0.20/0.52 % (20173)------------------------------
% 0.20/0.52 % (20161)Success in time 0.169 s
%------------------------------------------------------------------------------