TSTP Solution File: SEV515+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Sat Sep 2 12:33:48 EDT 2023
% Result : Theorem 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 12
% Syntax : Number of formulae : 106 ( 10 unt; 0 def)
% Number of atoms : 484 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 537 ( 159 ~; 259 |; 110 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 155 (; 127 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f270,plain,
$false,
inference(subsumption_resolution,[],[f266,f225]) ).
fof(f225,plain,
g_true_only(sK4(sK6),sK4(sK6)),
inference(subsumption_resolution,[],[f223,f209]) ).
fof(f209,plain,
~ g_true_only(sK4(sK6),sK6),
inference(subsumption_resolution,[],[f208,f47]) ).
fof(f47,plain,
! [X3] :
( ~ g_true_only(X3,X3)
| ~ g_true_only(X3,sK6) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( ! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,sK5) )
| sP2(X1,sK5) )
| sP3 )
& ! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,sK6) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK6) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,sK6) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f28,f30,f29]) ).
fof(f29,plain,
( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| sP2(X1,X0) )
=> ! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,sK5) )
| sP2(X1,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X2] :
! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,X2) ) )
=> ! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,sK6) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK6) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,sK6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| sP2(X1,X0) )
| sP3 )
& ? [X2] :
! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| sP2(X1,X0) )
| sP3 )
& ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_both(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) )
| ~ g_true_only(X6,X5) ) ) ),
inference(definition_folding,[],[f12,f16,f15,f14,f13]) ).
fof(f13,plain,
! [X3,X2] :
( ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14,plain,
! [X3,X2] :
( ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ~ sP1(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f15,plain,
! [X1,X0] :
( ( g_false_only(X1,X1)
& g_true_only(X1,X0) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f16,plain,
( ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| sP1(X3,X2)
| sP0(X3,X2) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) ) )
& ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_both(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) )
| ~ g_true_only(X6,X5) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X2] :
( ~ ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
& ? [X4] :
( g_both(X4,X4)
& g_both(X4,X2) ) ) )
| ! [X5] :
? [X6] :
( ( ( g_both(X6,X6)
| g_false_only(X6,X6) )
& g_false_only(X6,X5) )
| ( ( g_true_only(X6,X6)
| g_false_only(X6,X6) )
& g_both(X6,X5) )
| ( ( g_true_only(X6,X6)
| g_both(X6,X6) )
& g_true_only(X6,X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iJKfeaTk0x/Vampire---4.8_10690',nc1) ).
fof(f208,plain,
( g_true_only(sK4(sK6),sK4(sK6))
| ~ g_true_only(sK4(sK6),sK6) ),
inference(resolution,[],[f204,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( ~ g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X3] :
( g_true_only(X2,X3)
<=> ( ~ g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.iJKfeaTk0x/Vampire---4.8_10690',true_only_g) ).
fof(f204,plain,
( g_false(sK4(sK6),sK6)
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(resolution,[],[f200,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( 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,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( 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,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X3] :
( g_both(X2,X3)
<=> ( g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.iJKfeaTk0x/Vampire---4.8_10690',both_g) ).
fof(f200,plain,
( g_both(sK4(sK6),sK6)
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(subsumption_resolution,[],[f199,f112]) ).
fof(f112,plain,
! [X0] :
( ~ g_false_only(X0,sK6)
| g_true_only(X0,X0) ),
inference(subsumption_resolution,[],[f106,f51]) ).
fof(f51,plain,
! [X3] :
( ~ g_false_only(X3,sK6)
| ~ g_both(X3,X3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f106,plain,
! [X0] :
( g_both(X0,X0)
| g_true_only(X0,X0)
| ~ g_false_only(X0,sK6) ),
inference(resolution,[],[f54,f50]) ).
fof(f50,plain,
! [X3] :
( ~ g_false_only(X3,X3)
| ~ g_false_only(X3,sK6) ),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( 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/tmp/tmp.iJKfeaTk0x/Vampire---4.8_10690',exhaustion_g) ).
fof(f199,plain,
( g_false_only(sK4(sK6),sK6)
| g_both(sK4(sK6),sK6)
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(subsumption_resolution,[],[f197,f114]) ).
fof(f114,plain,
! [X3] :
( ~ g_both(X3,X3)
| g_both(X3,sK6) ),
inference(subsumption_resolution,[],[f109,f46]) ).
fof(f46,plain,
! [X3] :
( ~ g_both(X3,X3)
| ~ g_true_only(X3,sK6) ),
inference(cnf_transformation,[],[f31]) ).
fof(f109,plain,
! [X3] :
( g_both(X3,sK6)
| g_true_only(X3,sK6)
| ~ g_both(X3,X3) ),
inference(resolution,[],[f54,f51]) ).
fof(f197,plain,
( g_false_only(sK4(sK6),sK6)
| g_both(sK4(sK6),sK6)
| g_both(sK4(sK6),sK4(sK6))
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(resolution,[],[f195,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| g_both(X0,X0)
| g_true_only(X0,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( ( g_true_only(X0,X0)
| g_both(X0,X0) )
& g_true_only(X0,X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X3,X2] :
( ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f13]) ).
fof(f195,plain,
( sP0(sK4(sK6),sK6)
| g_false_only(sK4(sK6),sK6)
| g_both(sK4(sK6),sK6) ),
inference(resolution,[],[f186,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| g_both(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( ( g_true_only(X0,X0)
| g_false_only(X0,X0) )
& g_both(X0,X1) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X3,X2] :
( ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ~ sP1(X3,X2) ),
inference(nnf_transformation,[],[f14]) ).
fof(f186,plain,
( sP1(sK4(sK6),sK6)
| g_false_only(sK4(sK6),sK6)
| sP0(sK4(sK6),sK6) ),
inference(resolution,[],[f185,f129]) ).
fof(f129,plain,
g_both(sK6,sK6),
inference(subsumption_resolution,[],[f128,f47]) ).
fof(f128,plain,
( g_true_only(sK6,sK6)
| g_both(sK6,sK6) ),
inference(duplicate_literal_removal,[],[f123]) ).
fof(f123,plain,
( g_true_only(sK6,sK6)
| g_true_only(sK6,sK6)
| g_both(sK6,sK6) ),
inference(resolution,[],[f118,f114]) ).
fof(f118,plain,
! [X0] :
( g_both(X0,sK6)
| g_true_only(X0,X0)
| g_true_only(X0,sK6) ),
inference(resolution,[],[f112,f54]) ).
fof(f185,plain,
! [X1] :
( ~ g_both(sK6,X1)
| sP0(sK4(X1),X1)
| g_false_only(sK4(X1),X1)
| sP1(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f184,f133]) ).
fof(f133,plain,
~ g_true_only(sK6,sK6),
inference(resolution,[],[f129,f49]) ).
fof(f49,plain,
! [X3] :
( ~ g_both(X3,sK6)
| ~ g_true_only(X3,X3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f184,plain,
! [X1] :
( sP1(sK4(X1),X1)
| sP0(sK4(X1),X1)
| g_false_only(sK4(X1),X1)
| ~ g_both(sK6,X1)
| g_true_only(sK6,sK6) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f182,plain,
! [X1] :
( sP1(sK4(X1),X1)
| sP0(sK4(X1),X1)
| g_false_only(sK4(X1),X1)
| ~ g_both(sK6,X1)
| g_true_only(sK6,sK6)
| g_true_only(sK6,sK6) ),
inference(resolution,[],[f180,f118]) ).
fof(f180,plain,
! [X2,X0] :
( ~ g_both(X2,X2)
| sP1(sK4(X0),X0)
| sP0(sK4(X0),X0)
| g_false_only(sK4(X0),X0)
| ~ g_both(X2,X0) ),
inference(subsumption_resolution,[],[f38,f96]) ).
fof(f96,plain,
sP3,
inference(subsumption_resolution,[],[f93,f47]) ).
fof(f93,plain,
( sP3
| g_true_only(sK6,sK6) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( sP3
| g_true_only(sK6,sK6)
| g_true_only(sK6,sK6)
| sP3 ),
inference(resolution,[],[f77,f75]) ).
fof(f75,plain,
! [X0] :
( g_false_only(X0,X0)
| g_true_only(X0,X0)
| sP3 ),
inference(resolution,[],[f41,f53]) ).
fof(f53,plain,
! [X1] :
( sP2(X1,sK5)
| g_true_only(X1,X1)
| sP3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f41,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| g_false_only(X0,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( g_false_only(X0,X0)
& g_true_only(X0,X1) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ( g_false_only(X1,X1)
& g_true_only(X1,X0) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f77,plain,
! [X0] :
( ~ g_false_only(X0,sK6)
| sP3
| g_true_only(X0,X0) ),
inference(resolution,[],[f75,f50]) ).
fof(f38,plain,
! [X2,X0] :
( g_false_only(sK4(X0),X0)
| sP1(sK4(X0),X0)
| sP0(sK4(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ! [X0] :
( ( ( g_both(sK4(X0),sK4(X0))
| g_false_only(sK4(X0),sK4(X0)) )
& g_false_only(sK4(X0),X0) )
| sP1(sK4(X0),X0)
| sP0(sK4(X0),X0)
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f19,f20]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| sP1(X1,X0)
| sP0(X1,X0) )
=> ( ( ( g_both(sK4(X0),sK4(X0))
| g_false_only(sK4(X0),sK4(X0)) )
& g_false_only(sK4(X0),X0) )
| sP1(sK4(X0),X0)
| sP0(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| sP1(X1,X0)
| sP0(X1,X0) )
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP3 ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
( ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| sP1(X3,X2)
| sP0(X3,X2) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f16]) ).
fof(f223,plain,
( g_true_only(sK4(sK6),sK4(sK6))
| g_true_only(sK4(sK6),sK6) ),
inference(resolution,[],[f221,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f221,plain,
( sP0(sK4(sK6),sK6)
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(subsumption_resolution,[],[f196,f217]) ).
fof(f217,plain,
~ g_false_only(sK4(sK6),sK4(sK6)),
inference(resolution,[],[f215,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( ~ g_true(X0,X1)
& g_false(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
<=> ( ~ g_true(X2,X3)
& g_false(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.iJKfeaTk0x/Vampire---4.8_10690',false_only_g) ).
fof(f215,plain,
g_true(sK4(sK6),sK4(sK6)),
inference(subsumption_resolution,[],[f214,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f214,plain,
( g_true_only(sK4(sK6),sK4(sK6))
| g_true(sK4(sK6),sK4(sK6)) ),
inference(resolution,[],[f201,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f201,plain,
( g_both(sK4(sK6),sK4(sK6))
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(resolution,[],[f200,f113]) ).
fof(f113,plain,
! [X1] :
( ~ g_both(X1,sK6)
| g_both(X1,X1) ),
inference(subsumption_resolution,[],[f107,f49]) ).
fof(f107,plain,
! [X1] :
( g_both(X1,X1)
| g_true_only(X1,X1)
| ~ g_both(X1,sK6) ),
inference(resolution,[],[f54,f48]) ).
fof(f48,plain,
! [X3] :
( ~ g_false_only(X3,X3)
| ~ g_both(X3,sK6) ),
inference(cnf_transformation,[],[f31]) ).
fof(f196,plain,
( sP0(sK4(sK6),sK6)
| g_false_only(sK4(sK6),sK4(sK6))
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(subsumption_resolution,[],[f194,f112]) ).
fof(f194,plain,
( g_false_only(sK4(sK6),sK6)
| sP0(sK4(sK6),sK6)
| g_false_only(sK4(sK6),sK4(sK6))
| g_true_only(sK4(sK6),sK4(sK6)) ),
inference(resolution,[],[f186,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| g_false_only(X0,X0)
| g_true_only(X0,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f266,plain,
~ g_true_only(sK4(sK6),sK4(sK6)),
inference(resolution,[],[f263,f49]) ).
fof(f263,plain,
g_both(sK4(sK6),sK6),
inference(subsumption_resolution,[],[f262,f209]) ).
fof(f262,plain,
( g_both(sK4(sK6),sK6)
| g_true_only(sK4(sK6),sK6) ),
inference(resolution,[],[f260,f44]) ).
fof(f260,plain,
( sP0(sK4(sK6),sK6)
| g_both(sK4(sK6),sK6) ),
inference(subsumption_resolution,[],[f259,f114]) ).
fof(f259,plain,
( sP0(sK4(sK6),sK6)
| g_both(sK4(sK6),sK4(sK6))
| g_both(sK4(sK6),sK6) ),
inference(resolution,[],[f253,f42]) ).
fof(f253,plain,
( sP1(sK4(sK6),sK6)
| sP0(sK4(sK6),sK6)
| g_both(sK4(sK6),sK4(sK6)) ),
inference(subsumption_resolution,[],[f248,f217]) ).
fof(f248,plain,
( sP1(sK4(sK6),sK6)
| sP0(sK4(sK6),sK6)
| g_both(sK4(sK6),sK4(sK6))
| g_false_only(sK4(sK6),sK4(sK6)) ),
inference(resolution,[],[f247,f129]) ).
fof(f247,plain,
! [X1] :
( ~ g_both(sK6,X1)
| sP1(sK4(X1),X1)
| sP0(sK4(X1),X1)
| g_both(sK4(X1),sK4(X1))
| g_false_only(sK4(X1),sK4(X1)) ),
inference(subsumption_resolution,[],[f246,f133]) ).
fof(f246,plain,
! [X1] :
( g_false_only(sK4(X1),sK4(X1))
| sP1(sK4(X1),X1)
| sP0(sK4(X1),X1)
| g_both(sK4(X1),sK4(X1))
| ~ g_both(sK6,X1)
| g_true_only(sK6,sK6) ),
inference(duplicate_literal_removal,[],[f243]) ).
fof(f243,plain,
! [X1] :
( g_false_only(sK4(X1),sK4(X1))
| sP1(sK4(X1),X1)
| sP0(sK4(X1),X1)
| g_both(sK4(X1),sK4(X1))
| ~ g_both(sK6,X1)
| g_true_only(sK6,sK6)
| g_true_only(sK6,sK6) ),
inference(resolution,[],[f193,f118]) ).
fof(f193,plain,
! [X2,X0] :
( ~ g_both(X2,X2)
| g_false_only(sK4(X0),sK4(X0))
| sP1(sK4(X0),X0)
| sP0(sK4(X0),X0)
| g_both(sK4(X0),sK4(X0))
| ~ g_both(X2,X0) ),
inference(subsumption_resolution,[],[f39,f96]) ).
fof(f39,plain,
! [X2,X0] :
( g_both(sK4(X0),sK4(X0))
| g_false_only(sK4(X0),sK4(X0))
| sP1(sK4(X0),X0)
| sP0(sK4(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n015.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 : Wed Aug 30 14:36:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.39 % (10800)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (10801)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.40 % (10803)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.17/0.40 % (10802)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.40 % (10805)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.17/0.40 % (10806)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.17/0.40 % (10804)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.40 % (10807)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [1]
% 0.17/0.40 TRYING [4]
% 0.17/0.40 TRYING [2]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 % (10805)First to succeed.
% 0.17/0.40 TRYING [4]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 % (10801)Also succeeded, but the first one will report.
% 0.17/0.40 TRYING [4]
% 0.17/0.40 % (10806)Also succeeded, but the first one will report.
% 0.17/0.40 % (10805)Refutation found. Thanks to Tanya!
% 0.17/0.40 % SZS status Theorem for Vampire---4
% 0.17/0.40 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.40 % (10805)------------------------------
% 0.17/0.40 % (10805)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (10805)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (10805)Termination reason: Refutation
% 0.17/0.40
% 0.17/0.40 % (10805)Memory used [KB]: 895
% 0.17/0.40 % (10805)Time elapsed: 0.007 s
% 0.17/0.40 % (10805)------------------------------
% 0.17/0.40 % (10805)------------------------------
% 0.17/0.40 % (10800)Success in time 0.06 s
% 0.17/0.40 % Vampire---4.8 exiting
%------------------------------------------------------------------------------