TSTP Solution File: SEV515+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : n004.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 18:35:29 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 109 ( 5 unt; 0 def)
% Number of atoms : 534 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 647 ( 222 ~; 294 |; 114 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 12 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 120 ( 92 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f114,f157,f172,f196,f203,f217,f227,f233,f283,f301,f305,f316]) ).
fof(f316,plain,
( ~ spl4_10
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| ~ spl4_10
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f311,f156]) ).
fof(f156,plain,
( g_both(sK1(sK3),sK1(sK3))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl4_10
<=> g_both(sK1(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f311,plain,
( ~ g_both(sK1(sK3),sK1(sK3))
| ~ spl4_11 ),
inference(resolution,[],[f167,f46]) ).
fof(f46,plain,
! [X3] :
( ~ g_false_only(X3,sK3)
| ~ g_both(X3,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( sP0
| ! [X1] :
( ( g_false_only(X1,X1)
& g_true_only(X1,sK2) )
| ( g_true_only(X1,X1)
& g_false_only(X1,sK2) ) ) )
& ! [X3] :
( ( ~ g_false_only(X3,sK3)
| ( ~ g_false_only(X3,X3)
& ~ g_both(X3,X3) ) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK3) )
& ( ( ~ g_both(X3,X3)
& ~ g_true_only(X3,X3) )
| ~ g_true_only(X3,sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f21,f23,f22]) ).
fof(f22,plain,
( ? [X0] :
! [X1] :
( ( g_false_only(X1,X1)
& g_true_only(X1,X0) )
| ( g_true_only(X1,X1)
& g_false_only(X1,X0) ) )
=> ! [X1] :
( ( g_false_only(X1,X1)
& g_true_only(X1,sK2) )
| ( g_true_only(X1,X1)
& g_false_only(X1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ? [X2] :
! [X3] :
( ( ~ g_false_only(X3,X2)
| ( ~ g_false_only(X3,X3)
& ~ g_both(X3,X3) ) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_both(X3,X3)
& ~ g_true_only(X3,X3) )
| ~ g_true_only(X3,X2) ) )
=> ! [X3] :
( ( ~ g_false_only(X3,sK3)
| ( ~ g_false_only(X3,X3)
& ~ g_both(X3,X3) ) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK3) )
& ( ( ~ g_both(X3,X3)
& ~ g_true_only(X3,X3) )
| ~ g_true_only(X3,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ( sP0
| ? [X0] :
! [X1] :
( ( g_false_only(X1,X1)
& g_true_only(X1,X0) )
| ( g_true_only(X1,X1)
& g_false_only(X1,X0) ) ) )
& ? [X2] :
! [X3] :
( ( ~ g_false_only(X3,X2)
| ( ~ g_false_only(X3,X3)
& ~ g_both(X3,X3) ) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_both(X3,X3)
& ~ g_true_only(X3,X3) )
| ~ g_true_only(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ( sP0
| ? [X2] :
! [X3] :
( ( g_false_only(X3,X3)
& g_true_only(X3,X2) )
| ( g_true_only(X3,X3)
& g_false_only(X3,X2) ) ) )
& ? [X0] :
! [X1] :
( ( ~ g_false_only(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_both(X1,X1) ) )
& ( ( ~ g_true_only(X1,X1)
& ~ g_false_only(X1,X1) )
| ~ g_both(X1,X0) )
& ( ( ~ g_both(X1,X1)
& ~ g_true_only(X1,X1) )
| ~ g_true_only(X1,X0) ) ) ),
inference(definition_folding,[],[f12,f13]) ).
fof(f13,plain,
( ! [X4] :
( ! [X5] :
( ~ g_both(X5,X5)
| ~ g_both(X5,X4) )
| ? [X6] :
( ( ( g_false_only(X6,X6)
| g_both(X6,X6) )
& g_false_only(X6,X4) )
| ( g_true_only(X6,X4)
& ( g_both(X6,X6)
| g_true_only(X6,X6) ) )
| ( ( g_false_only(X6,X6)
| g_true_only(X6,X6) )
& g_both(X6,X4) ) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ( ! [X4] :
( ! [X5] :
( ~ g_both(X5,X5)
| ~ g_both(X5,X4) )
| ? [X6] :
( ( ( g_false_only(X6,X6)
| g_both(X6,X6) )
& g_false_only(X6,X4) )
| ( g_true_only(X6,X4)
& ( g_both(X6,X6)
| g_true_only(X6,X6) ) )
| ( ( g_false_only(X6,X6)
| g_true_only(X6,X6) )
& g_both(X6,X4) ) ) )
| ? [X2] :
! [X3] :
( ( g_false_only(X3,X3)
& g_true_only(X3,X2) )
| ( g_true_only(X3,X3)
& g_false_only(X3,X2) ) ) )
& ? [X0] :
! [X1] :
( ( ~ g_false_only(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_both(X1,X1) ) )
& ( ( ~ g_true_only(X1,X1)
& ~ g_false_only(X1,X1) )
| ~ g_both(X1,X0) )
& ( ( ~ g_both(X1,X1)
& ~ g_true_only(X1,X1) )
| ~ g_true_only(X1,X0) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ( ( ? [X4] :
( ? [X5] :
( g_both(X5,X5)
& g_both(X5,X4) )
& ~ ? [X6] :
( ( ( g_false_only(X6,X6)
| g_both(X6,X6) )
& g_false_only(X6,X4) )
| ( g_true_only(X6,X4)
& ( g_both(X6,X6)
| g_true_only(X6,X6) ) )
| ( ( g_false_only(X6,X6)
| g_true_only(X6,X6) )
& g_both(X6,X4) ) ) )
& ~ ? [X2] :
! [X3] :
( ( g_false_only(X3,X3)
& g_true_only(X3,X2) )
| ( g_true_only(X3,X3)
& g_false_only(X3,X2) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) )
| ( ~ ? [X0] :
! [X1] :
( ( g_false_only(X1,X0)
& g_true_only(X1,X1) )
| ( g_true_only(X1,X0)
& g_false_only(X1,X1) ) )
& ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& g_both(X1,X1) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) )
| ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) )
| ( ~ ? [X0] :
! [X1] :
( ( g_false_only(X1,X0)
& g_true_only(X1,X1) )
| ( g_true_only(X1,X0)
& g_false_only(X1,X1) ) )
& ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& g_both(X1,X1) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) )
| ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc1) ).
fof(f167,plain,
( g_false_only(sK1(sK3),sK3)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl4_11
<=> g_false_only(sK1(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f305,plain,
( spl4_8
| ~ spl4_1
| spl4_9
| spl4_11
| spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f304,f229,f223,f165,f150,f63,f147]) ).
fof(f147,plain,
( spl4_8
<=> ! [X0] :
( ~ g_both(X0,sK3)
| ~ g_both(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f63,plain,
( spl4_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f150,plain,
( spl4_9
<=> g_false_only(sK1(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f223,plain,
( spl4_16
<=> g_true_only(sK1(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f229,plain,
( spl4_17
<=> g_true_only(sK1(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f304,plain,
( ! [X0] :
( ~ g_both(X0,X0)
| ~ g_both(X0,sK3) )
| ~ spl4_1
| spl4_9
| spl4_11
| spl4_16
| spl4_17 ),
inference(subsumption_resolution,[],[f303,f166]) ).
fof(f166,plain,
( ~ g_false_only(sK1(sK3),sK3)
| spl4_11 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f303,plain,
( ! [X0] :
( ~ g_both(X0,sK3)
| g_false_only(sK1(sK3),sK3)
| ~ g_both(X0,X0) )
| ~ spl4_1
| spl4_9
| spl4_16
| spl4_17 ),
inference(subsumption_resolution,[],[f302,f151]) ).
fof(f151,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| spl4_9 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f302,plain,
( ! [X0] :
( ~ g_both(X0,sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| ~ g_both(X0,X0)
| g_false_only(sK1(sK3),sK3) )
| ~ spl4_1
| spl4_16
| spl4_17 ),
inference(subsumption_resolution,[],[f245,f225]) ).
fof(f225,plain,
( ~ g_true_only(sK1(sK3),sK3)
| spl4_16 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f245,plain,
( ! [X0] :
( ~ g_both(X0,X0)
| ~ g_both(X0,sK3)
| g_true_only(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3)) )
| ~ spl4_1
| spl4_17 ),
inference(resolution,[],[f231,f98]) ).
fof(f98,plain,
( ! [X0,X1] :
( g_true_only(sK1(X1),sK1(X1))
| ~ g_both(X0,X1)
| ~ g_both(X0,X0)
| g_true_only(sK1(X1),X1)
| g_false_only(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),X1) )
| ~ spl4_1 ),
inference(resolution,[],[f65,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ sP0
| ~ g_both(X1,X1)
| ~ g_both(X1,X0)
| g_true_only(sK1(X0),X0)
| g_false_only(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ! [X0] :
( ! [X1] :
( ~ g_both(X1,X1)
| ~ g_both(X1,X0) )
| ( ( g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) )
& g_false_only(sK1(X0),X0) )
| ( g_true_only(sK1(X0),X0)
& ( g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) ) )
| ( ( g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f19]) ).
fof(f19,plain,
! [X0] :
( ? [X2] :
( ( ( g_false_only(X2,X2)
| g_both(X2,X2) )
& g_false_only(X2,X0) )
| ( g_true_only(X2,X0)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( ( g_false_only(X2,X2)
| g_true_only(X2,X2) )
& g_both(X2,X0) ) )
=> ( ( ( g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) )
& g_false_only(sK1(X0),X0) )
| ( g_true_only(sK1(X0),X0)
& ( g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) ) )
| ( ( g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ! [X0] :
( ! [X1] :
( ~ g_both(X1,X1)
| ~ g_both(X1,X0) )
| ? [X2] :
( ( ( g_false_only(X2,X2)
| g_both(X2,X2) )
& g_false_only(X2,X0) )
| ( g_true_only(X2,X0)
& ( g_both(X2,X2)
| g_true_only(X2,X2) ) )
| ( ( g_false_only(X2,X2)
| g_true_only(X2,X2) )
& g_both(X2,X0) ) ) )
| ~ sP0 ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
( ! [X4] :
( ! [X5] :
( ~ g_both(X5,X5)
| ~ g_both(X5,X4) )
| ? [X6] :
( ( ( g_false_only(X6,X6)
| g_both(X6,X6) )
& g_false_only(X6,X4) )
| ( g_true_only(X6,X4)
& ( g_both(X6,X6)
| g_true_only(X6,X6) ) )
| ( ( g_false_only(X6,X6)
| g_true_only(X6,X6) )
& g_both(X6,X4) ) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f13]) ).
fof(f65,plain,
( sP0
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f231,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| spl4_17 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f301,plain,
( ~ spl4_16
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f298,f174,f223]) ).
fof(f174,plain,
( spl4_13
<=> g_false(sK1(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f298,plain,
( ~ g_true_only(sK1(sK3),sK3)
| ~ spl4_13 ),
inference(resolution,[],[f176,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ g_false(X1,X0)
| ~ g_true_only(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( ( ~ g_false(X1,X0)
& g_true(X1,X0) )
| ~ g_true_only(X1,X0) )
& ( g_true_only(X1,X0)
| g_false(X1,X0)
| ~ g_true(X1,X0) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) )
& ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) )
& ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
<=> g_true_only(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X3] :
( ( ~ g_false(X2,X3)
& g_true(X2,X3) )
<=> g_true_only(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f176,plain,
( g_false(sK1(sK3),sK3)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f283,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f281,f115]) ).
fof(f115,plain,
g_both(sK3,sK3),
inference(subsumption_resolution,[],[f110,f47]) ).
fof(f47,plain,
! [X3] :
( ~ g_false_only(X3,sK3)
| ~ g_false_only(X3,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f110,plain,
( g_false_only(sK3,sK3)
| g_both(sK3,sK3) ),
inference(resolution,[],[f109,f30]) ).
fof(f30,plain,
! [X0,X1] :
( g_true_only(X1,X0)
| g_false_only(X1,X0)
| g_both(X1,X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( g_false_only(X1,X0)
| g_both(X1,X0)
| g_true_only(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X2] :
( g_true_only(X2,X3)
| g_false_only(X2,X3)
| g_both(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f109,plain,
~ g_true_only(sK3,sK3),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f108,plain,
( ~ g_true_only(sK3,sK3)
| ~ g_true_only(sK3,sK3) ),
inference(resolution,[],[f104,f84]) ).
fof(f84,plain,
! [X0] :
( g_false_only(X0,sK3)
| ~ g_true_only(X0,X0) ),
inference(subsumption_resolution,[],[f82,f45]) ).
fof(f45,plain,
! [X3] :
( ~ g_both(X3,sK3)
| ~ g_true_only(X3,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f82,plain,
! [X0] :
( g_false_only(X0,sK3)
| g_both(X0,sK3)
| ~ g_true_only(X0,X0) ),
inference(resolution,[],[f42,f30]) ).
fof(f42,plain,
! [X3] :
( ~ g_true_only(X3,sK3)
| ~ g_true_only(X3,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f104,plain,
! [X0] :
( ~ g_false_only(X0,X0)
| ~ g_true_only(X0,X0) ),
inference(resolution,[],[f84,f47]) ).
fof(f281,plain,
( ~ g_both(sK3,sK3)
| ~ spl4_8 ),
inference(resolution,[],[f148,f115]) ).
fof(f148,plain,
( ! [X0] :
( ~ g_both(X0,sK3)
| ~ g_both(X0,X0) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f233,plain,
( ~ spl4_17
| spl4_11 ),
inference(avatar_split_clause,[],[f209,f165,f229]) ).
fof(f209,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| spl4_11 ),
inference(resolution,[],[f166,f84]) ).
fof(f227,plain,
( ~ spl4_9
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f211,f169,f150]) ).
fof(f169,plain,
( spl4_12
<=> g_both(sK1(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f211,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| ~ spl4_12 ),
inference(resolution,[],[f171,f44]) ).
fof(f44,plain,
! [X3] :
( ~ g_both(X3,sK3)
| ~ g_false_only(X3,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f171,plain,
( g_both(sK1(sK3),sK3)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f217,plain,
( spl4_13
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f212,f169,f174]) ).
fof(f212,plain,
( g_false(sK1(sK3),sK3)
| ~ spl4_12 ),
inference(resolution,[],[f171,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_true(X0,X1)
& g_false(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X3] :
( g_both(X2,X3)
<=> ( g_true(X2,X3)
& g_false(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f203,plain,
( ~ spl4_9
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| ~ spl4_9
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f197,f152]) ).
fof(f152,plain,
( g_false_only(sK1(sK3),sK1(sK3))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f197,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| ~ spl4_11 ),
inference(resolution,[],[f167,f47]) ).
fof(f196,plain,
( spl4_8
| spl4_11
| spl4_12
| ~ spl4_1
| ~ spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f195,f154,f150,f63,f169,f165,f147]) ).
fof(f195,plain,
( ! [X1] :
( g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK3)
| ~ g_both(X1,X1)
| ~ g_both(X1,sK3) )
| ~ spl4_1
| ~ spl4_9
| spl4_10 ),
inference(subsumption_resolution,[],[f191,f155]) ).
fof(f155,plain,
( ~ g_both(sK1(sK3),sK1(sK3))
| spl4_10 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f191,plain,
( ! [X1] :
( g_both(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK3)
| ~ g_both(X1,X1)
| ~ g_both(X1,sK3) )
| ~ spl4_1
| ~ spl4_9 ),
inference(resolution,[],[f184,f96]) ).
fof(f96,plain,
( ! [X0,X1] :
( g_true_only(sK1(X1),sK1(X1))
| ~ g_both(X0,X1)
| g_both(sK1(X1),X1)
| g_both(sK1(X1),sK1(X1))
| ~ g_both(X0,X0)
| g_false_only(sK1(X1),X1) )
| ~ spl4_1 ),
inference(resolution,[],[f65,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sP0
| ~ g_both(X1,X0)
| g_both(sK1(X0),sK1(X0))
| ~ g_both(X1,X1)
| g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),X0)
| g_both(sK1(X0),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f184,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| ~ spl4_9 ),
inference(resolution,[],[f152,f104]) ).
fof(f172,plain,
( spl4_11
| spl4_12
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f162,f154,f169,f165]) ).
fof(f162,plain,
( g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK3)
| ~ spl4_10 ),
inference(resolution,[],[f160,f30]) ).
fof(f160,plain,
( ~ g_true_only(sK1(sK3),sK3)
| ~ spl4_10 ),
inference(resolution,[],[f156,f43]) ).
fof(f43,plain,
! [X3] :
( ~ g_both(X3,X3)
| ~ g_true_only(X3,sK3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f157,plain,
( spl4_8
| spl4_9
| spl4_10
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f145,f63,f154,f150,f147]) ).
fof(f145,plain,
( ! [X0] :
( g_both(sK1(sK3),sK1(sK3))
| g_false_only(sK1(sK3),sK1(sK3))
| ~ g_both(X0,sK3)
| ~ g_both(X0,X0) )
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f144,f30]) ).
fof(f144,plain,
( ! [X0] :
( ~ g_true_only(sK1(sK3),sK1(sK3))
| ~ g_both(X0,X0)
| ~ g_both(X0,sK3)
| g_both(sK1(sK3),sK1(sK3))
| g_false_only(sK1(sK3),sK1(sK3)) )
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f143,f45]) ).
fof(f143,plain,
( ! [X0] :
( g_both(sK1(sK3),sK3)
| ~ g_both(X0,sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK1(sK3))
| ~ g_both(X0,X0)
| ~ g_true_only(sK1(sK3),sK1(sK3)) )
| ~ spl4_1 ),
inference(resolution,[],[f99,f42]) ).
fof(f99,plain,
( ! [X0,X1] :
( g_true_only(sK1(X1),X1)
| g_false_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| ~ g_both(X0,X1)
| g_both(sK1(X1),sK1(X1))
| ~ g_both(X0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f65,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ sP0
| ~ g_both(X1,X0)
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0))
| ~ g_both(X1,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f114,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f112,f47]) ).
fof(f112,plain,
( g_false_only(sK3,sK3)
| ~ spl4_3 ),
inference(resolution,[],[f109,f72]) ).
fof(f72,plain,
( ! [X1] :
( g_true_only(X1,X1)
| g_false_only(X1,X1) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl4_3
<=> ! [X1] :
( g_true_only(X1,X1)
| g_false_only(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f73,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f51,f71,f63]) ).
fof(f51,plain,
! [X1] :
( g_true_only(X1,X1)
| sP0
| g_false_only(X1,X1) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 17:18:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (29544)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (29532)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (29539)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (29532)Instruction limit reached!
% 0.20/0.51 % (29532)------------------------------
% 0.20/0.51 % (29532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29547)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (29544)Refutation not found, incomplete strategy% (29544)------------------------------
% 0.20/0.51 % (29544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29560)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.52 % (29544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29544)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (29544)Memory used [KB]: 6012
% 0.20/0.52 % (29544)Time elapsed: 0.111 s
% 0.20/0.52 % (29544)Instructions burned: 4 (million)
% 0.20/0.52 % (29544)------------------------------
% 0.20/0.52 % (29544)------------------------------
% 0.20/0.52 % (29547)First to succeed.
% 0.20/0.52 % (29545)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (29547)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (29547)------------------------------
% 0.20/0.52 % (29547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (29547)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (29547)Memory used [KB]: 6140
% 0.20/0.52 % (29547)Time elapsed: 0.118 s
% 0.20/0.52 % (29547)Instructions burned: 6 (million)
% 0.20/0.52 % (29547)------------------------------
% 0.20/0.52 % (29547)------------------------------
% 0.20/0.52 % (29530)Success in time 0.172 s
%------------------------------------------------------------------------------