TSTP Solution File: GRP490-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP490-1 : 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_uns --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 16:16:00 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(subsumption_resolution,[],[f74,f11]) ).
fof(f11,plain,
identity != sF2,
inference(definition_folding,[],[f6,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(f6,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(definition_unfolding,[],[f5,f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
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,
identity != multiply(inverse(a1),a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f74,plain,
identity = sF2,
inference(forward_demodulation,[],[f73,f64]) ).
fof(f64,plain,
double_divide(sF2,identity) = sF2,
inference(forward_demodulation,[],[f63,f40]) ).
fof(f40,plain,
double_divide(sF2,identity) = double_divide(sF2,sF2),
inference(superposition,[],[f34,f15]) ).
fof(f15,plain,
double_divide(identity,identity) = sF2,
inference(backward_demodulation,[],[f10,f14]) ).
fof(f14,plain,
identity = sF1,
inference(forward_demodulation,[],[f12,f9]) ).
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(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(identity,X0),sF2) = double_divide(double_divide(X0,identity),identity),
inference(forward_demodulation,[],[f30,f15]) ).
fof(f30,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f1,f7]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f63,plain,
sF2 = double_divide(sF2,sF2),
inference(forward_demodulation,[],[f62,f15]) ).
fof(f62,plain,
double_divide(sF2,double_divide(identity,identity)) = sF2,
inference(forward_demodulation,[],[f58,f7]) ).
fof(f58,plain,
double_divide(sF2,double_divide(identity,double_divide(sF2,double_divide(sF2,identity)))) = sF2,
inference(superposition,[],[f39,f40]) ).
fof(f39,plain,
! [X3] : double_divide(sF2,double_divide(identity,double_divide(sF2,double_divide(X3,sF2)))) = X3,
inference(forward_demodulation,[],[f38,f15]) ).
fof(f38,plain,
! [X3] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X3,sF2)))) = X3,
inference(superposition,[],[f1,f17]) ).
fof(f17,plain,
identity = double_divide(identity,sF2),
inference(superposition,[],[f7,f15]) ).
fof(f73,plain,
identity = double_divide(sF2,identity),
inference(forward_demodulation,[],[f72,f17]) ).
fof(f72,plain,
double_divide(sF2,identity) = double_divide(identity,sF2),
inference(forward_demodulation,[],[f66,f17]) ).
fof(f66,plain,
double_divide(sF2,identity) = double_divide(double_divide(identity,sF2),sF2),
inference(superposition,[],[f34,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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 22:34:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (29752)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.49 % (29759)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.51 % (29764)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/292Mi)
% 0.19/0.51 % (29761)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.19/0.51 % (29763)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.51 % (29775)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.19/0.51 % (29752)First to succeed.
% 0.19/0.51 % (29752)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (29752)------------------------------
% 0.19/0.51 % (29752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29752)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (29752)Memory used [KB]: 5500
% 0.19/0.51 % (29752)Time elapsed: 0.107 s
% 0.19/0.51 % (29752)Instructions burned: 4 (million)
% 0.19/0.51 % (29752)------------------------------
% 0.19/0.51 % (29752)------------------------------
% 0.19/0.51 % (29751)Success in time 0.163 s
%------------------------------------------------------------------------------