TSTP Solution File: SEV515+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_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 18:36:04 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 9
% Syntax : Number of formulae : 90 ( 7 unt; 0 def)
% Number of atoms : 488 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 570 ( 172 ~; 272 |; 117 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 151 ( 124 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(resolution,[],[f536,f290]) ).
fof(f290,plain,
g_both(sK1(sK2),sK2),
inference(subsumption_resolution,[],[f289,f47]) ).
fof(f47,plain,
! [X1] :
( ~ g_true_only(X1,X1)
| ~ g_true_only(X1,sK2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ! [X1] :
( ( ( ~ g_both(X1,X1)
& ~ g_false_only(X1,X1) )
| ~ g_false_only(X1,sK2) )
& ( ~ g_both(X1,sK2)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_true_only(X1,sK2)
| ( ~ g_true_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ( sP0
| ! [X3] :
( ( g_false_only(X3,sK3)
& g_true_only(X3,X3) )
| ( g_false_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_both(X1,X1)
& ~ g_false_only(X1,X1) )
| ~ g_false_only(X1,X0) )
& ( ~ g_both(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_true_only(X1,X0)
| ( ~ g_true_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
=> ! [X1] :
( ( ( ~ g_both(X1,X1)
& ~ g_false_only(X1,X1) )
| ~ g_false_only(X1,sK2) )
& ( ~ g_both(X1,sK2)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_true_only(X1,sK2)
| ( ~ g_true_only(X1,X1)
& ~ g_both(X1,X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ? [X2] :
! [X3] :
( ( g_false_only(X3,X2)
& g_true_only(X3,X3) )
| ( g_false_only(X3,X3)
& g_true_only(X3,X2) ) )
=> ! [X3] :
( ( g_false_only(X3,sK3)
& g_true_only(X3,X3) )
| ( g_false_only(X3,X3)
& g_true_only(X3,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X0] :
! [X1] :
( ( ( ~ g_both(X1,X1)
& ~ g_false_only(X1,X1) )
| ~ g_false_only(X1,X0) )
& ( ~ g_both(X1,X0)
| ( ~ g_false_only(X1,X1)
& ~ g_true_only(X1,X1) ) )
& ( ~ g_true_only(X1,X0)
| ( ~ g_true_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ( sP0
| ? [X2] :
! [X3] :
( ( g_false_only(X3,X2)
& g_true_only(X3,X3) )
| ( g_false_only(X3,X3)
& g_true_only(X3,X2) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ~ g_both(X6,X5)
| ( ~ g_false_only(X6,X6)
& ~ g_true_only(X6,X6) ) )
& ( ~ g_true_only(X6,X5)
| ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) ) ) )
& ( sP0
| ? [X3] :
! [X4] :
( ( g_false_only(X4,X3)
& g_true_only(X4,X4) )
| ( g_false_only(X4,X4)
& g_true_only(X4,X3) ) ) ) ),
inference(definition_folding,[],[f12,f13]) ).
fof(f13,plain,
( ! [X0] :
( ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
| ! [X2] :
( ~ g_both(X2,X0)
| ~ g_both(X2,X2) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ~ g_both(X6,X5)
| ( ~ g_false_only(X6,X6)
& ~ g_true_only(X6,X6) ) )
& ( ~ g_true_only(X6,X5)
| ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) ) ) )
& ( ! [X0] :
( ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
| ! [X2] :
( ~ g_both(X2,X0)
| ~ g_both(X2,X2) ) )
| ? [X3] :
! [X4] :
( ( g_false_only(X4,X3)
& g_true_only(X4,X4) )
| ( g_false_only(X4,X4)
& g_true_only(X4,X3) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ( ( ~ ? [X3] :
! [X4] :
( ( g_false_only(X4,X3)
& g_true_only(X4,X4) )
| ( g_false_only(X4,X4)
& g_true_only(X4,X3) ) )
& ? [X0] :
( ? [X2] :
( g_both(X2,X0)
& g_both(X2,X2) )
& ~ ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) ) ) )
| ! [X5] :
? [X6] :
( ( g_false_only(X6,X5)
& ( g_both(X6,X6)
| g_false_only(X6,X6) ) )
| ( g_both(X6,X5)
& ( g_false_only(X6,X6)
| g_true_only(X6,X6) ) )
| ( g_true_only(X6,X5)
& ( g_true_only(X6,X6)
| g_both(X6,X6) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
( ~ ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_true_only(X1,X0)
& g_false_only(X1,X1) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_true_only(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X0] :
( ~ ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_true_only(X1,X0)
& g_false_only(X1,X1) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_true_only(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
fof(f289,plain,
( g_true_only(sK2,sK2)
| g_both(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f283,f81]) ).
fof(f81,plain,
g_both(sK2,sK2),
inference(subsumption_resolution,[],[f80,f47]) ).
fof(f80,plain,
( g_both(sK2,sK2)
| g_true_only(sK2,sK2) ),
inference(factoring,[],[f73]) ).
fof(f73,plain,
! [X0] :
( g_true_only(X0,X0)
| g_true_only(X0,sK2)
| g_both(X0,sK2) ),
inference(resolution,[],[f70,f33]) ).
fof(f33,plain,
! [X0,X1] :
( g_false_only(X1,X0)
| g_true_only(X1,X0)
| g_both(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( g_false_only(X1,X0)
| g_both(X1,X0)
| g_true_only(X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
| g_both(X2,X3)
| g_true_only(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f70,plain,
! [X0] :
( ~ g_false_only(X0,sK2)
| g_true_only(X0,X0) ),
inference(subsumption_resolution,[],[f67,f51]) ).
fof(f51,plain,
! [X1] :
( ~ g_false_only(X1,sK2)
| ~ g_both(X1,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f67,plain,
! [X0] :
( g_true_only(X0,X0)
| g_both(X0,X0)
| ~ g_false_only(X0,sK2) ),
inference(resolution,[],[f33,f50]) ).
fof(f50,plain,
! [X1] :
( ~ g_false_only(X1,X1)
| ~ g_false_only(X1,sK2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f283,plain,
( ~ g_both(sK2,sK2)
| g_both(sK1(sK2),sK2)
| g_true_only(sK2,sK2) ),
inference(resolution,[],[f254,f51]) ).
fof(f254,plain,
! [X0] :
( g_false_only(X0,X0)
| g_true_only(X0,X0)
| g_both(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f253,f72]) ).
fof(f72,plain,
! [X2] :
( ~ g_both(X2,X2)
| g_both(X2,sK2) ),
inference(subsumption_resolution,[],[f69,f46]) ).
fof(f46,plain,
! [X1] :
( ~ g_true_only(X1,sK2)
| ~ g_both(X1,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f69,plain,
! [X2] :
( g_true_only(X2,sK2)
| ~ g_both(X2,X2)
| g_both(X2,sK2) ),
inference(resolution,[],[f33,f51]) ).
fof(f253,plain,
! [X0] :
( g_false_only(X0,X0)
| g_both(sK1(sK2),sK2)
| g_true_only(X0,X0)
| g_both(sK1(sK2),sK1(sK2)) ),
inference(subsumption_resolution,[],[f252,f229]) ).
fof(f229,plain,
~ g_true_only(sK1(sK2),sK1(sK2)),
inference(subsumption_resolution,[],[f228,f47]) ).
fof(f228,plain,
( g_true_only(sK1(sK2),sK2)
| ~ g_true_only(sK1(sK2),sK1(sK2)) ),
inference(subsumption_resolution,[],[f227,f48]) ).
fof(f48,plain,
! [X1] :
( ~ g_true_only(X1,X1)
| ~ g_both(X1,sK2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f227,plain,
( g_both(sK1(sK2),sK2)
| ~ g_true_only(sK1(sK2),sK1(sK2))
| g_true_only(sK1(sK2),sK2) ),
inference(resolution,[],[f217,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(resolution,[],[f56,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( ( ~ 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,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( ( ~ 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,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( ~ 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/sandbox/benchmark/theBenchmark.p',true_only_g) ).
fof(f56,plain,
! [X0,X1] :
( g_false(X1,X0)
| ~ g_false_only(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( ( ~ g_true(X1,X0)
& g_false(X1,X0) )
| ~ g_false_only(X1,X0) )
& ( g_false_only(X1,X0)
| g_true(X1,X0)
| ~ g_false(X1,X0) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( ~ g_true(X1,X0)
& g_false(X1,X0) )
| ~ g_false_only(X1,X0) )
& ( g_false_only(X1,X0)
| g_true(X1,X0)
| ~ g_false(X1,X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( ~ g_true(X1,X0)
& g_false(X1,X0) )
<=> g_false_only(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X2] :
( g_false_only(X2,X3)
<=> ( g_false(X2,X3)
& ~ g_true(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_only_g) ).
fof(f217,plain,
( g_false_only(sK1(sK2),sK1(sK2))
| g_both(sK1(sK2),sK2)
| g_true_only(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f216,f47]) ).
fof(f216,plain,
( g_false_only(sK1(sK2),sK1(sK2))
| g_both(sK1(sK2),sK2)
| g_true_only(sK2,sK2)
| g_true_only(sK1(sK2),sK2) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
( g_both(sK1(sK2),sK2)
| g_true_only(sK2,sK2)
| g_true_only(sK1(sK2),sK2)
| g_false_only(sK1(sK2),sK1(sK2))
| g_true_only(sK2,sK2) ),
inference(resolution,[],[f145,f70]) ).
fof(f145,plain,
! [X0] :
( g_false_only(X0,X0)
| g_false_only(sK1(sK2),sK1(sK2))
| g_both(sK1(sK2),sK2)
| g_true_only(X0,X0)
| g_true_only(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f144,f72]) ).
fof(f144,plain,
! [X0] :
( g_true_only(sK1(sK2),sK2)
| g_true_only(X0,X0)
| g_false_only(X0,X0)
| g_both(sK1(sK2),sK1(sK2))
| g_false_only(sK1(sK2),sK1(sK2))
| g_both(sK1(sK2),sK2) ),
inference(resolution,[],[f107,f81]) ).
fof(f107,plain,
! [X0,X1] :
( ~ g_both(sK2,X1)
| g_true_only(X0,X0)
| g_false_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_true_only(sK1(X1),X1)
| g_false_only(X0,X0) ),
inference(resolution,[],[f99,f81]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ g_both(X0,X0)
| g_false_only(X2,X2)
| ~ g_both(X0,X1)
| g_both(sK1(X1),X1)
| g_false_only(sK1(X1),sK1(X1))
| g_true_only(sK1(X1),X1)
| g_both(sK1(X1),sK1(X1))
| g_true_only(X2,X2) ),
inference(resolution,[],[f35,f43]) ).
fof(f43,plain,
! [X3] :
( sP0
| g_true_only(X3,X3)
| g_false_only(X3,X3) ),
inference(cnf_transformation,[],[f24]) ).
fof(f35,plain,
! [X2,X0] :
( ~ sP0
| ~ g_both(X2,X0)
| ~ g_both(X2,X2)
| g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ! [X0] :
( ( ( g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) )
| ( g_false_only(sK1(X0),X0)
& ( g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) ) )
| ( g_true_only(sK1(X0),X0)
& ( g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) ) )
| ! [X2] :
( ~ g_both(X2,X0)
| ~ g_both(X2,X2) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f19]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
=> ( ( ( g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) )
| ( g_false_only(sK1(X0),X0)
& ( g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) ) )
| ( g_true_only(sK1(X0),X0)
& ( g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ! [X0] :
( ? [X1] :
( ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( g_false_only(X1,X0)
& ( g_false_only(X1,X1)
| g_both(X1,X1) ) )
| ( g_true_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
| ! [X2] :
( ~ g_both(X2,X0)
| ~ g_both(X2,X2) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f13]) ).
fof(f252,plain,
! [X0] :
( g_false_only(X0,X0)
| g_true_only(sK1(sK2),sK1(sK2))
| g_both(sK1(sK2),sK1(sK2))
| g_true_only(X0,X0)
| g_both(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f251,f231]) ).
fof(f231,plain,
~ g_false_only(sK1(sK2),sK2),
inference(subsumption_resolution,[],[f230,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_both(X0,X1) ),
inference(resolution,[],[f57,f52]) ).
fof(f52,plain,
! [X0,X1] :
( g_true(X1,X0)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( g_both(X1,X0)
| ~ g_false(X1,X0)
| ~ g_true(X1,X0) )
& ( ( g_false(X1,X0)
& g_true(X1,X0) )
| ~ g_both(X1,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ( g_false(X2,X3)
& g_true(X2,X3) )
<=> g_both(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
fof(f57,plain,
! [X0,X1] :
( ~ g_true(X1,X0)
| ~ g_false_only(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f230,plain,
( ~ g_false_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f224,f63]) ).
fof(f224,plain,
( g_true_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK2)
| ~ g_false_only(sK1(sK2),sK2) ),
inference(resolution,[],[f217,f50]) ).
fof(f251,plain,
! [X0] :
( g_false_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK2)
| g_true_only(X0,X0)
| g_both(sK1(sK2),sK1(sK2))
| g_false_only(X0,X0)
| g_true_only(sK1(sK2),sK1(sK2)) ),
inference(subsumption_resolution,[],[f250,f81]) ).
fof(f250,plain,
! [X0] :
( g_true_only(X0,X0)
| ~ g_both(sK2,sK2)
| g_both(sK1(sK2),sK2)
| g_false_only(sK1(sK2),sK2)
| g_both(sK1(sK2),sK1(sK2))
| g_true_only(sK1(sK2),sK1(sK2))
| g_false_only(X0,X0) ),
inference(resolution,[],[f242,f81]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(sK1(X1),X1)
| g_both(sK1(X1),sK1(X1))
| ~ g_both(X0,X0)
| g_false_only(X2,X2)
| g_true_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_true_only(X2,X2) ),
inference(resolution,[],[f36,f43]) ).
fof(f36,plain,
! [X2,X0] :
( ~ sP0
| ~ g_both(X2,X0)
| ~ g_both(X2,X2)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),X0)
| g_both(sK1(X0),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f536,plain,
! [X5] : ~ g_both(X5,sK2),
inference(subsumption_resolution,[],[f535,f290]) ).
fof(f535,plain,
! [X5] :
( ~ g_both(X5,sK2)
| ~ g_both(sK1(sK2),sK2) ),
inference(resolution,[],[f528,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| ~ g_both(X0,X1) ),
inference(resolution,[],[f53,f32]) ).
fof(f53,plain,
! [X0,X1] :
( g_false(X1,X0)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f528,plain,
! [X5] :
( g_true_only(sK1(sK2),sK2)
| ~ g_both(X5,sK2) ),
inference(subsumption_resolution,[],[f527,f71]) ).
fof(f71,plain,
! [X1] :
( ~ g_both(X1,sK2)
| g_both(X1,X1) ),
inference(subsumption_resolution,[],[f68,f48]) ).
fof(f68,plain,
! [X1] :
( g_both(X1,X1)
| ~ g_both(X1,sK2)
| g_true_only(X1,X1) ),
inference(resolution,[],[f33,f49]) ).
fof(f49,plain,
! [X1] :
( ~ g_false_only(X1,X1)
| ~ g_both(X1,sK2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f527,plain,
! [X5] :
( ~ g_both(X5,X5)
| g_true_only(sK1(sK2),sK2)
| ~ g_both(X5,sK2) ),
inference(subsumption_resolution,[],[f526,f290]) ).
fof(f526,plain,
! [X5] :
( g_true_only(sK1(sK2),sK2)
| ~ g_both(X5,sK2)
| ~ g_both(X5,X5)
| ~ g_both(sK1(sK2),sK2) ),
inference(subsumption_resolution,[],[f519,f293]) ).
fof(f293,plain,
g_both(sK1(sK2),sK1(sK2)),
inference(resolution,[],[f290,f71]) ).
fof(f519,plain,
! [X5] :
( ~ g_both(X5,X5)
| ~ g_both(X5,sK2)
| ~ g_both(sK1(sK2),sK1(sK2))
| ~ g_both(sK1(sK2),sK2)
| g_true_only(sK1(sK2),sK2) ),
inference(resolution,[],[f514,f51]) ).
fof(f514,plain,
! [X2,X3] :
( g_false_only(sK1(X2),X2)
| ~ g_both(X3,X2)
| ~ g_both(sK1(X2),sK2)
| ~ g_both(X3,X3)
| g_true_only(sK1(X2),X2) ),
inference(subsumption_resolution,[],[f511,f48]) ).
fof(f511,plain,
! [X2,X3] :
( g_false_only(sK1(X2),X2)
| g_true_only(sK1(X2),sK1(X2))
| ~ g_both(X3,X2)
| ~ g_both(X3,X3)
| g_true_only(sK1(X2),X2)
| ~ g_both(sK1(X2),sK2) ),
inference(resolution,[],[f509,f49]) ).
fof(f509,plain,
! [X2,X0] :
( g_false_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),X0)
| g_true_only(sK1(X0),X0)
| ~ g_both(X2,X0)
| ~ g_both(X2,X2)
| g_true_only(sK1(X0),sK1(X0)) ),
inference(subsumption_resolution,[],[f41,f43]) ).
fof(f41,plain,
! [X2,X0] :
( ~ g_both(X2,X2)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| ~ sP0
| g_true_only(sK1(X0),X0)
| g_false_only(sK1(X0),X0)
| ~ g_both(X2,X0) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.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 17:17:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (16327)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.47 % (16326)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (16326)First to succeed.
% 0.19/0.51 % (16326)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (16326)------------------------------
% 0.19/0.51 % (16326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16326)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16326)Memory used [KB]: 1151
% 0.19/0.51 % (16326)Time elapsed: 0.041 s
% 0.19/0.51 % (16326)Instructions burned: 37 (million)
% 0.19/0.51 % (16326)------------------------------
% 0.19/0.51 % (16326)------------------------------
% 0.19/0.51 % (16300)Success in time 0.16 s
%------------------------------------------------------------------------------