TSTP Solution File: GRP577-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP577-1 : 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 16:22:54 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(subsumption_resolution,[],[f32,f8]) ).
fof(f8,plain,
identity != double_divide(identity,identity),
inference(forward_demodulation,[],[f6,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/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
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) ).
fof(f32,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f31,f7]) ).
fof(f31,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f30,f7]) ).
fof(f30,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f28,f26]) ).
fof(f26,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f23,f7]) ).
fof(f23,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f19]) ).
fof(f19,plain,
double_divide(identity,identity) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f16,f7]) ).
fof(f16,plain,
! [X2] : double_divide(double_divide(double_divide(double_divide(identity,X2),identity),identity),double_divide(identity,identity)) = X2,
inference(superposition,[],[f9,f7]) ).
fof(f9,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f28,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % 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 : n021.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 22:29:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (3377)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.50 % (3377)Instruction limit reached!
% 0.20/0.50 % (3377)------------------------------
% 0.20/0.50 % (3377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (3377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (3377)Termination reason: Unknown
% 0.20/0.50 % (3377)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (3377)Memory used [KB]: 5373
% 0.20/0.50 % (3377)Time elapsed: 0.094 s
% 0.20/0.50 % (3377)Instructions burned: 2 (million)
% 0.20/0.50 % (3377)------------------------------
% 0.20/0.50 % (3377)------------------------------
% 0.20/0.50 % (3369)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.50 % (3378)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)
% 0.20/0.50 TRYING [4]
% 0.20/0.50 % (3388)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51 % (3385)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.51 % (3375)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51 % (3385)First to succeed.
% 0.20/0.51 % (3381)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51 % (3385)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (3385)------------------------------
% 0.20/0.51 % (3385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3385)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (3385)Memory used [KB]: 5373
% 0.20/0.51 % (3385)Time elapsed: 0.108 s
% 0.20/0.51 % (3385)Instructions burned: 2 (million)
% 0.20/0.51 % (3385)------------------------------
% 0.20/0.51 % (3385)------------------------------
% 0.20/0.51 % (3368)Success in time 0.164 s
%------------------------------------------------------------------------------