TSTP Solution File: GRP565-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP565-1 : 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 : n005.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 16:16:33 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 10 unt; 0 def)
% Number of atoms : 70 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 36 ~; 33 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f11,f17,f21,f32,f39,f61]) ).
fof(f61,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f58]) ).
fof(f58,plain,
( identity != identity
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[],[f16,f54]) ).
fof(f54,plain,
( identity = double_divide(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f44,f31]) ).
fof(f31,plain,
( ! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_4
<=> ! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f44,plain,
( double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f38,f10]) ).
fof(f10,plain,
( ! [X0] : identity = double_divide(X0,double_divide(X0,identity))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> ! [X0] : identity = double_divide(X0,double_divide(X0,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f38,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_5
<=> ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f16,plain,
( identity != double_divide(identity,identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_2
<=> identity = double_divide(identity,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f39,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f30,f19,f37]) ).
fof(f19,plain,
( spl0_3
<=> ! [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 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f33,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f20,f31]) ).
fof(f20,plain,
( ! [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
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f32,plain,
( spl0_4
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f28,f19,f9,f30]) ).
fof(f28,plain,
( ! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f24,f10]) ).
fof(f24,plain,
( ! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f20,f10]) ).
fof(f21,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f19]) ).
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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f17,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f12,f9,f14]) ).
fof(f12,plain,
( identity != double_divide(identity,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f7,f10]) ).
fof(f7,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/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(f11,plain,
spl0_1,
inference(avatar_split_clause,[],[f6,f9]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP565-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:32:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (16442)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)
% 0.20/0.52 % (16442)First to succeed.
% 0.20/0.52 % (16434)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)
% 0.20/0.52 % (16458)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/381Mi)
% 0.20/0.53 % (16442)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 % (16442)------------------------------
% 0.20/0.53 % (16442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (16442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (16442)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (16442)Memory used [KB]: 5500
% 0.20/0.53 % (16442)Time elapsed: 0.107 s
% 0.20/0.53 % (16442)Instructions burned: 2 (million)
% 0.20/0.53 % (16442)------------------------------
% 0.20/0.53 % (16442)------------------------------
% 0.20/0.53 % (16429)Success in time 0.17 s
%------------------------------------------------------------------------------