TSTP Solution File: SYO605+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 12:30:50 EDT 2024
% Result : Theorem 0.22s 0.60s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 50
% Syntax : Number of formulae : 316 ( 3 unt; 0 def)
% Number of atoms : 1607 ( 0 equ)
% Maximal formula atoms : 57 ( 5 avg)
% Number of connectives : 1849 ( 558 ~; 996 |; 251 &)
% ( 36 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 34 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 386 ( 306 !; 80 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7961,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f121,f133,f157,f161,f165,f173,f177,f181,f344,f436,f469,f470,f691,f753,f865,f867,f969,f984,f1050,f6122,f6332,f6678,f6708,f6713,f6729,f6739,f6740,f7690,f7702,f7738,f7873,f7910,f7927,f7928,f7930,f7940,f7941,f7958,f7960]) ).
fof(f7960,plain,
( ~ spl15_32
| ~ spl15_50 ),
inference(avatar_contradiction_clause,[],[f7959]) ).
fof(f7959,plain,
( $false
| ~ spl15_32
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f7955,f353]) ).
fof(f353,plain,
( g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f351,plain,
( spl15_32
<=> g_true_only(sK9(sK14),sK9(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f7955,plain,
( ~ g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_50 ),
inference(resolution,[],[f551,f81]) ).
fof(f81,plain,
! [X7] :
( ~ g_false_only(X7,sK14)
| ~ g_true_only(X7,X7) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( ! [X1] :
( ( ( g_both(sK12(X1),sK11)
| g_false_only(sK12(X1),sK11) )
& g_false_only(sK12(X1),X1) )
| ( ( g_true_only(sK12(X1),sK11)
| g_false_only(sK12(X1),sK11) )
& g_both(sK12(X1),X1) )
| sP3(sK11,sK12(X1),X1) )
| sP6
| sP5
| sP4 )
& ! [X3,X5] :
( ( ( ~ g_both(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_false_only(X5,sK13(X3)) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_both(X5,sK13(X3)) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_both(X5,X3) )
| ~ g_true_only(X5,sK13(X3)) ) )
& ! [X7] :
( ( ( ~ g_both(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_false_only(X7,sK14) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_both(X7,sK14) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_both(X7,X7) )
| ~ g_true_only(X7,sK14) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f43,f47,f46,f45,f44]) ).
fof(f44,plain,
( ? [X0] :
! [X1] :
? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| sP3(X0,X2,X1) )
=> ! [X1] :
? [X2] :
( ( ( g_both(X2,sK11)
| g_false_only(X2,sK11) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,sK11)
| g_false_only(X2,sK11) )
& g_both(X2,X1) )
| sP3(sK11,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X1] :
( ? [X2] :
( ( ( g_both(X2,sK11)
| g_false_only(X2,sK11) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,sK11)
| g_false_only(X2,sK11) )
& g_both(X2,X1) )
| sP3(sK11,X2,X1) )
=> ( ( ( g_both(sK12(X1),sK11)
| g_false_only(sK12(X1),sK11) )
& g_false_only(sK12(X1),X1) )
| ( ( g_true_only(sK12(X1),sK11)
| g_false_only(sK12(X1),sK11) )
& g_both(sK12(X1),X1) )
| sP3(sK11,sK12(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X3] :
( ? [X4] :
! [X5] :
( ( ( ~ g_both(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_false_only(X5,X4) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_both(X5,X4) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_both(X5,X3) )
| ~ g_true_only(X5,X4) ) )
=> ! [X5] :
( ( ( ~ g_both(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_false_only(X5,sK13(X3)) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_both(X5,sK13(X3)) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_both(X5,X3) )
| ~ g_true_only(X5,sK13(X3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X6] :
! [X7] :
( ( ( ~ g_both(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_false_only(X7,X6) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_both(X7,X6) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_both(X7,X7) )
| ~ g_true_only(X7,X6) ) )
=> ! [X7] :
( ( ( ~ g_both(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_false_only(X7,sK14) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_both(X7,sK14) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_both(X7,X7) )
| ~ g_true_only(X7,sK14) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ( ? [X0] :
! [X1] :
? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| sP3(X0,X2,X1) )
| sP6
| sP5
| sP4 )
& ! [X3] :
? [X4] :
! [X5] :
( ( ( ~ g_both(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_false_only(X5,X4) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_false_only(X5,X3) )
| ~ g_both(X5,X4) )
& ( ( ~ g_true_only(X5,X3)
& ~ g_both(X5,X3) )
| ~ g_true_only(X5,X4) ) )
& ? [X6] :
! [X7] :
( ( ( ~ g_both(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_false_only(X7,X6) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_true_only(X7,X7) )
| ~ g_both(X7,X6) )
& ( ( ~ g_false_only(X7,X7)
& ~ g_both(X7,X7) )
| ~ g_true_only(X7,X6) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
( ( ? [X0] :
! [X1] :
? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| sP3(X0,X2,X1) )
| sP6
| sP5
| sP4 )
& ! [X14] :
? [X15] :
! [X16] :
( ( ( ~ g_both(X16,X14)
& ~ g_false_only(X16,X14) )
| ~ g_false_only(X16,X15) )
& ( ( ~ g_true_only(X16,X14)
& ~ g_false_only(X16,X14) )
| ~ g_both(X16,X15) )
& ( ( ~ g_true_only(X16,X14)
& ~ g_both(X16,X14) )
| ~ g_true_only(X16,X15) ) )
& ? [X17] :
! [X18] :
( ( ( ~ g_both(X18,X18)
& ~ g_true_only(X18,X18) )
| ~ g_false_only(X18,X17) )
& ( ( ~ g_false_only(X18,X18)
& ~ g_true_only(X18,X18) )
| ~ g_both(X18,X17) )
& ( ( ~ g_false_only(X18,X18)
& ~ g_both(X18,X18) )
| ~ g_true_only(X18,X17) ) ) ),
inference(definition_folding,[],[f12,f19,f18,f17,f16,f15,f14,f13]) ).
fof(f13,plain,
! [X12,X11] :
( ( ( g_false_only(X12,X12)
| g_both(X12,X12) )
& g_true_only(X12,X11) )
| ~ sP0(X12,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14,plain,
! [X3,X7,X6] :
( ( ( g_true_only(X7,X3)
| g_both(X7,X3) )
& g_true_only(X7,X6) )
| ~ sP1(X3,X7,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f15,plain,
! [X3] :
( ! [X6] :
( ? [X7] :
( ( ( g_both(X7,X3)
| g_false_only(X7,X3) )
& g_false_only(X7,X6) )
| ( ( g_true_only(X7,X3)
| g_false_only(X7,X3) )
& g_both(X7,X6) )
| sP1(X3,X7,X6) )
| ! [X8] :
( ~ g_both(X8,X3)
| ~ g_both(X8,X6) ) )
| ~ sP2(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f16,plain,
! [X0,X2,X1] :
( ( ( g_true_only(X2,X0)
| g_both(X2,X0) )
& g_true_only(X2,X1) )
| ~ sP3(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f17,plain,
( ! [X11] :
( ? [X12] :
( ( ( g_both(X12,X12)
| g_true_only(X12,X12) )
& g_false_only(X12,X11) )
| ( ( g_false_only(X12,X12)
| g_true_only(X12,X12) )
& g_both(X12,X11) )
| sP0(X12,X11) )
| ! [X13] :
( ~ g_both(X13,X13)
| ~ g_both(X13,X11) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f18,plain,
( ? [X9] :
! [X10] :
( ( g_false_only(X10,X10)
& g_false_only(X10,X9) )
| ( g_true_only(X10,X10)
& g_true_only(X10,X9) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f19,plain,
( ! [X3] :
( ? [X4] :
! [X5] :
( ( g_true_only(X5,X3)
& g_false_only(X5,X4) )
| ( g_false_only(X5,X3)
& g_true_only(X5,X4) ) )
| sP2(X3) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f12,plain,
( ( ? [X0] :
! [X1] :
? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_both(X2,X0) )
& g_true_only(X2,X1) ) )
| ! [X3] :
( ? [X4] :
! [X5] :
( ( g_true_only(X5,X3)
& g_false_only(X5,X4) )
| ( g_false_only(X5,X3)
& g_true_only(X5,X4) ) )
| ! [X6] :
( ? [X7] :
( ( ( g_both(X7,X3)
| g_false_only(X7,X3) )
& g_false_only(X7,X6) )
| ( ( g_true_only(X7,X3)
| g_false_only(X7,X3) )
& g_both(X7,X6) )
| ( ( g_true_only(X7,X3)
| g_both(X7,X3) )
& g_true_only(X7,X6) ) )
| ! [X8] :
( ~ g_both(X8,X3)
| ~ g_both(X8,X6) ) ) )
| ? [X9] :
! [X10] :
( ( g_false_only(X10,X10)
& g_false_only(X10,X9) )
| ( g_true_only(X10,X10)
& g_true_only(X10,X9) ) )
| ! [X11] :
( ? [X12] :
( ( ( g_both(X12,X12)
| g_true_only(X12,X12) )
& g_false_only(X12,X11) )
| ( ( g_false_only(X12,X12)
| g_true_only(X12,X12) )
& g_both(X12,X11) )
| ( ( g_false_only(X12,X12)
| g_both(X12,X12) )
& g_true_only(X12,X11) ) )
| ! [X13] :
( ~ g_both(X13,X13)
| ~ g_both(X13,X11) ) ) )
& ! [X14] :
? [X15] :
! [X16] :
( ( ( ~ g_both(X16,X14)
& ~ g_false_only(X16,X14) )
| ~ g_false_only(X16,X15) )
& ( ( ~ g_true_only(X16,X14)
& ~ g_false_only(X16,X14) )
| ~ g_both(X16,X15) )
& ( ( ~ g_true_only(X16,X14)
& ~ g_both(X16,X14) )
| ~ g_true_only(X16,X15) ) )
& ? [X17] :
! [X18] :
( ( ( ~ g_both(X18,X18)
& ~ g_true_only(X18,X18) )
| ~ g_false_only(X18,X17) )
& ( ( ~ g_false_only(X18,X18)
& ~ g_true_only(X18,X18) )
| ~ g_both(X18,X17) )
& ( ( ~ g_false_only(X18,X18)
& ~ g_both(X18,X18) )
| ~ g_true_only(X18,X17) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ~ ? [X0] :
! [X1] :
? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_both(X2,X0) )
& g_true_only(X2,X1) ) )
& ? [X3] :
( ~ ? [X4] :
! [X5] :
( ( g_true_only(X5,X3)
& g_false_only(X5,X4) )
| ( g_false_only(X5,X3)
& g_true_only(X5,X4) ) )
& ? [X6] :
( ~ ? [X7] :
( ( ( g_both(X7,X3)
| g_false_only(X7,X3) )
& g_false_only(X7,X6) )
| ( ( g_true_only(X7,X3)
| g_false_only(X7,X3) )
& g_both(X7,X6) )
| ( ( g_true_only(X7,X3)
| g_both(X7,X3) )
& g_true_only(X7,X6) ) )
& ? [X8] :
( g_both(X8,X3)
& g_both(X8,X6) ) ) )
& ~ ? [X9] :
! [X10] :
( ( g_false_only(X10,X10)
& g_false_only(X10,X9) )
| ( g_true_only(X10,X10)
& g_true_only(X10,X9) ) )
& ? [X11] :
( ~ ? [X12] :
( ( ( g_both(X12,X12)
| g_true_only(X12,X12) )
& g_false_only(X12,X11) )
| ( ( g_false_only(X12,X12)
| g_true_only(X12,X12) )
& g_both(X12,X11) )
| ( ( g_false_only(X12,X12)
| g_both(X12,X12) )
& g_true_only(X12,X11) ) )
& ? [X13] :
( g_both(X13,X13)
& g_both(X13,X11) ) ) )
| ? [X14] :
! [X15] :
? [X16] :
( ( ( g_both(X16,X14)
| g_false_only(X16,X14) )
& g_false_only(X16,X15) )
| ( ( g_true_only(X16,X14)
| g_false_only(X16,X14) )
& g_both(X16,X15) )
| ( ( g_true_only(X16,X14)
| g_both(X16,X14) )
& g_true_only(X16,X15) ) )
| ! [X17] :
? [X18] :
( ( ( g_both(X18,X18)
| g_true_only(X18,X18) )
& g_false_only(X18,X17) )
| ( ( g_false_only(X18,X18)
| g_true_only(X18,X18) )
& g_both(X18,X17) )
| ( ( g_false_only(X18,X18)
| g_both(X18,X18) )
& g_true_only(X18,X17) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X1] :
! [X0] :
? [X2] :
( ( ( g_both(X2,X1)
| g_false_only(X2,X1) )
& g_false_only(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_false_only(X2,X1) )
& g_both(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_both(X2,X1) )
& g_true_only(X2,X0) ) )
& ? [X1] :
( ~ ? [X0] :
! [X2] :
( ( g_true_only(X2,X1)
& g_false_only(X2,X0) )
| ( g_false_only(X2,X1)
& g_true_only(X2,X0) ) )
& ? [X0] :
( ~ ? [X2] :
( ( ( g_both(X2,X1)
| g_false_only(X2,X1) )
& g_false_only(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_false_only(X2,X1) )
& g_both(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_both(X2,X1) )
& g_true_only(X2,X0) ) )
& ? [X2] :
( g_both(X2,X1)
& g_both(X2,X0) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_false_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_true_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ? [X1] :
! [X0] :
? [X2] :
( ( ( g_both(X2,X1)
| g_false_only(X2,X1) )
& g_false_only(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_false_only(X2,X1) )
& g_both(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_both(X2,X1) )
& g_true_only(X2,X0) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X1] :
! [X0] :
? [X2] :
( ( ( g_both(X2,X1)
| g_false_only(X2,X1) )
& g_false_only(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_false_only(X2,X1) )
& g_both(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_both(X2,X1) )
& g_true_only(X2,X0) ) )
& ? [X1] :
( ~ ? [X0] :
! [X2] :
( ( g_true_only(X2,X1)
& g_false_only(X2,X0) )
| ( g_false_only(X2,X1)
& g_true_only(X2,X0) ) )
& ? [X0] :
( ~ ? [X2] :
( ( ( g_both(X2,X1)
| g_false_only(X2,X1) )
& g_false_only(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_false_only(X2,X1) )
& g_both(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_both(X2,X1) )
& g_true_only(X2,X0) ) )
& ? [X2] :
( g_both(X2,X1)
& g_both(X2,X0) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_false_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_true_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ? [X1] :
! [X0] :
? [X2] :
( ( ( g_both(X2,X1)
| g_false_only(X2,X1) )
& g_false_only(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_false_only(X2,X1) )
& g_both(X2,X0) )
| ( ( g_true_only(X2,X1)
| g_both(X2,X1) )
& g_true_only(X2,X0) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc4) ).
fof(f551,plain,
( g_false_only(sK9(sK14),sK14)
| ~ spl15_50 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl15_50
<=> g_false_only(sK9(sK14),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f7958,plain,
( ~ spl15_305
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f7954,f549,f7907]) ).
fof(f7907,plain,
( spl15_305
<=> g_both(sK9(sK14),sK9(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_305])]) ).
fof(f7954,plain,
( ~ g_both(sK9(sK14),sK9(sK14))
| ~ spl15_50 ),
inference(resolution,[],[f551,f82]) ).
fof(f82,plain,
! [X7] :
( ~ g_false_only(X7,sK14)
| ~ g_both(X7,X7) ),
inference(cnf_transformation,[],[f48]) ).
fof(f7941,plain,
( ~ spl15_305
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f7938,f351,f7907]) ).
fof(f7938,plain,
( ~ g_both(sK9(sK14),sK9(sK14))
| ~ spl15_32 ),
inference(resolution,[],[f7935,f77]) ).
fof(f77,plain,
! [X7] :
( ~ g_true_only(X7,sK14)
| ~ g_both(X7,X7) ),
inference(cnf_transformation,[],[f48]) ).
fof(f7935,plain,
( g_true_only(sK9(sK14),sK14)
| ~ spl15_32 ),
inference(resolution,[],[f353,f228]) ).
fof(f228,plain,
! [X0] :
( ~ g_true_only(X0,X0)
| g_true_only(X0,sK14) ),
inference(subsumption_resolution,[],[f222,f79]) ).
fof(f79,plain,
! [X7] :
( ~ g_both(X7,sK14)
| ~ g_true_only(X7,X7) ),
inference(cnf_transformation,[],[f48]) ).
fof(f222,plain,
! [X0] :
( g_both(X0,sK14)
| g_true_only(X0,sK14)
| ~ g_true_only(X0,X0) ),
inference(resolution,[],[f93,f81]) ).
fof(f93,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,
! [X3,X4] :
( g_false_only(X3,X4)
| g_both(X3,X4)
| g_true_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7940,plain,
( ~ spl15_76
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f7937,f351,f880]) ).
fof(f880,plain,
( spl15_76
<=> g_false_only(sK9(sK14),sK9(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f7937,plain,
( ~ g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_32 ),
inference(resolution,[],[f7935,f78]) ).
fof(f78,plain,
! [X7] :
( ~ g_true_only(X7,sK14)
| ~ g_false_only(X7,X7) ),
inference(cnf_transformation,[],[f48]) ).
fof(f7930,plain,
( spl15_76
| spl15_32
| spl15_34
| spl15_50
| ~ spl15_14
| spl15_48
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f861,f444,f440,f159,f549,f359,f351,f880]) ).
fof(f359,plain,
( spl15_34
<=> sP0(sK9(sK14),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f159,plain,
( spl15_14
<=> ! [X2,X0] :
( g_false_only(sK9(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| sP0(sK9(X0),X0)
| g_true_only(sK9(X0),sK9(X0))
| g_false_only(sK9(X0),sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f440,plain,
( spl15_48
<=> g_true_only(sK13(sK14),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f444,plain,
( spl15_49
<=> g_both(sK13(sK14),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f861,plain,
( g_false_only(sK9(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_14
| spl15_48
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f818,f441]) ).
fof(f441,plain,
( ~ g_true_only(sK13(sK14),sK14)
| spl15_48 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f818,plain,
( g_true_only(sK13(sK14),sK14)
| g_false_only(sK9(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_14
| ~ spl15_49 ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
( g_true_only(sK13(sK14),sK14)
| g_false_only(sK9(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_14
| ~ spl15_49 ),
inference(resolution,[],[f451,f446]) ).
fof(f446,plain,
( g_both(sK13(sK14),sK14)
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f451,plain,
( ! [X0,X1] :
( ~ g_both(sK13(X0),X1)
| g_true_only(sK13(X0),X0)
| g_false_only(sK9(X1),X1)
| g_true_only(sK13(X0),sK14)
| sP0(sK9(X1),X1)
| g_true_only(sK9(X1),sK9(X1))
| g_false_only(sK9(X1),sK9(X1)) )
| ~ spl15_14 ),
inference(resolution,[],[f310,f160]) ).
fof(f160,plain,
( ! [X2,X0] :
( ~ g_both(X2,X2)
| g_false_only(sK9(X0),X0)
| ~ g_both(X2,X0)
| sP0(sK9(X0),X0)
| g_true_only(sK9(X0),sK9(X0))
| g_false_only(sK9(X0),sK9(X0)) )
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f310,plain,
! [X0] :
( g_both(sK13(X0),sK13(X0))
| g_true_only(sK13(X0),sK14)
| g_true_only(sK13(X0),X0) ),
inference(resolution,[],[f293,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_both(X0,sK13(X1)) ),
inference(subsumption_resolution,[],[f224,f83]) ).
fof(f83,plain,
! [X3,X5] :
( ~ g_true_only(X5,sK13(X3))
| ~ g_both(X5,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f224,plain,
! [X0,X1] :
( g_both(X0,sK13(X1))
| g_true_only(X0,sK13(X1))
| ~ g_both(X0,X1) ),
inference(resolution,[],[f93,f88]) ).
fof(f88,plain,
! [X3,X5] :
( ~ g_false_only(X5,sK13(X3))
| ~ g_both(X5,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f293,plain,
! [X0] :
( g_both(sK13(X0),X0)
| g_true_only(sK13(X0),X0)
| g_true_only(sK13(X0),sK14) ),
inference(resolution,[],[f258,f228]) ).
fof(f258,plain,
! [X0,X1] :
( g_true_only(X0,sK13(X1))
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(resolution,[],[f230,f93]) ).
fof(f230,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| g_true_only(X0,sK13(X1)) ),
inference(subsumption_resolution,[],[f225,f85]) ).
fof(f85,plain,
! [X3,X5] :
( ~ g_both(X5,sK13(X3))
| ~ g_false_only(X5,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f225,plain,
! [X0,X1] :
( g_both(X0,sK13(X1))
| g_true_only(X0,sK13(X1))
| ~ g_false_only(X0,X1) ),
inference(resolution,[],[f93,f87]) ).
fof(f87,plain,
! [X3,X5] :
( ~ g_false_only(X5,sK13(X3))
| ~ g_false_only(X5,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f7928,plain,
( ~ spl15_305
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f7925,f359,f7907]) ).
fof(f7925,plain,
( ~ g_both(sK9(sK14),sK9(sK14))
| ~ spl15_34 ),
inference(resolution,[],[f7901,f77]) ).
fof(f7901,plain,
( g_true_only(sK9(sK14),sK14)
| ~ spl15_34 ),
inference(resolution,[],[f361,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( g_false_only(X0,X0)
| g_both(X0,X0) )
& g_true_only(X0,X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X12,X11] :
( ( ( g_false_only(X12,X12)
| g_both(X12,X12) )
& g_true_only(X12,X11) )
| ~ sP0(X12,X11) ),
inference(nnf_transformation,[],[f13]) ).
fof(f361,plain,
( sP0(sK9(sK14),sK14)
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f7927,plain,
( ~ spl15_76
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f7924,f359,f880]) ).
fof(f7924,plain,
( ~ g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_34 ),
inference(resolution,[],[f7901,f78]) ).
fof(f7910,plain,
( spl15_76
| spl15_305
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f7900,f359,f7907,f880]) ).
fof(f7900,plain,
( g_both(sK9(sK14),sK9(sK14))
| g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_34 ),
inference(resolution,[],[f361,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| g_both(X0,X0)
| g_false_only(X0,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f7873,plain,
( ~ spl15_278
| ~ spl15_188 ),
inference(avatar_split_clause,[],[f7728,f5990,f7695]) ).
fof(f7695,plain,
( spl15_278
<=> g_true_only(sK10(sK14,sK13(sK14)),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_278])]) ).
fof(f5990,plain,
( spl15_188
<=> g_both(sK10(sK14,sK13(sK14)),sK13(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_188])]) ).
fof(f7728,plain,
( ~ g_true_only(sK10(sK14,sK13(sK14)),sK14)
| ~ spl15_188 ),
inference(resolution,[],[f5992,f86]) ).
fof(f86,plain,
! [X3,X5] :
( ~ g_both(X5,sK13(X3))
| ~ g_true_only(X5,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f5992,plain,
( g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| ~ spl15_188 ),
inference(avatar_component_clause,[],[f5990]) ).
fof(f7738,plain,
( spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f6866,f119,f115,f111]) ).
fof(f111,plain,
( spl15_2
<=> ! [X2,X0] :
( g_true_only(X2,X0)
| sP2(X0)
| g_false_only(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f115,plain,
( spl15_3
<=> ! [X2,X0] :
( g_true_only(X2,X0)
| sP2(X0)
| g_true_only(X2,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f119,plain,
( spl15_4
<=> ! [X2,X0] :
( g_false_only(X2,sK7(X0))
| sP2(X0)
| g_false_only(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f6866,plain,
( ! [X0,X1] :
( sP2(X0)
| g_true_only(X1,X0)
| g_false_only(X1,X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(duplicate_literal_removal,[],[f6853]) ).
fof(f6853,plain,
( ! [X0,X1] :
( sP2(X0)
| g_true_only(X1,X0)
| sP2(X0)
| g_false_only(X1,X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f116,f1164]) ).
fof(f1164,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,sK7(X1))
| sP2(X1)
| g_false_only(X0,X1) )
| ~ spl15_4 ),
inference(resolution,[],[f1061,f100]) ).
fof(f100,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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,[],[f53]) ).
fof(f53,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,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( ~ g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f1061,plain,
( ! [X0,X1] :
( ~ g_true(X1,sK7(X0))
| g_false_only(X1,X0)
| sP2(X0) )
| ~ spl15_4 ),
inference(resolution,[],[f120,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,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,[],[f51]) ).
fof(f51,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,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( ~ g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f120,plain,
( ! [X2,X0] :
( g_false_only(X2,sK7(X0))
| sP2(X0)
| g_false_only(X2,X0) )
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f116,plain,
( ! [X2,X0] :
( g_true_only(X2,sK7(X0))
| sP2(X0)
| g_true_only(X2,X0) )
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f7702,plain,
( spl15_187
| spl15_278
| spl15_48
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f7701,f1041,f440,f7695,f5986]) ).
fof(f5986,plain,
( spl15_187
<=> g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_187])]) ).
fof(f1041,plain,
( spl15_80
<=> sP2(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f7701,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f7700,f308]) ).
fof(f308,plain,
! [X0,X1] :
( ~ g_false_only(X0,sK13(X1))
| g_true_only(X0,X1) ),
inference(subsumption_resolution,[],[f306,f88]) ).
fof(f306,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_both(X0,X1)
| ~ g_false_only(X0,sK13(X1)) ),
inference(resolution,[],[f294,f97]) ).
fof(f97,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f294,plain,
! [X0,X1] :
( ~ g_false(X0,sK13(X1))
| g_true_only(X0,X1)
| g_both(X0,X1) ),
inference(resolution,[],[f258,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| ~ g_false(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f7700,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f7699,f230]) ).
fof(f7699,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f6149,f441]) ).
fof(f6149,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK13(sK14),sK14)
| spl15_48
| ~ spl15_80 ),
inference(duplicate_literal_removal,[],[f6139]) ).
fof(f6139,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK14)
| g_false_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| spl15_48
| ~ spl15_80 ),
inference(resolution,[],[f2794,f310]) ).
fof(f2794,plain,
( ! [X0] :
( ~ g_both(sK13(sK14),X0)
| g_true_only(sK10(sK14,X0),sK14)
| g_false_only(sK10(sK14,X0),sK14)
| g_false_only(sK10(sK14,X0),X0)
| g_true_only(sK10(sK14,X0),X0) )
| spl15_48
| ~ spl15_80 ),
inference(resolution,[],[f1380,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| g_true_only(X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ( g_true_only(X1,X0)
| g_both(X1,X0) )
& g_true_only(X1,X2) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X3,X7,X6] :
( ( ( g_true_only(X7,X3)
| g_both(X7,X3) )
& g_true_only(X7,X6) )
| ~ sP1(X3,X7,X6) ),
inference(nnf_transformation,[],[f14]) ).
fof(f1380,plain,
( ! [X0] :
( sP1(sK14,sK10(sK14,X0),X0)
| g_false_only(sK10(sK14,X0),sK14)
| g_true_only(sK10(sK14,X0),sK14)
| ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),X0) )
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f1379,f441]) ).
fof(f1379,plain,
( ! [X0] :
( g_false_only(sK10(sK14,X0),sK14)
| sP1(sK14,sK10(sK14,X0),X0)
| g_true_only(sK10(sK14,X0),sK14)
| ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),X0)
| g_true_only(sK13(sK14),sK14) )
| ~ spl15_80 ),
inference(duplicate_literal_removal,[],[f1375]) ).
fof(f1375,plain,
( ! [X0] :
( g_false_only(sK10(sK14,X0),sK14)
| sP1(sK14,sK10(sK14,X0),X0)
| g_true_only(sK10(sK14,X0),sK14)
| ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),X0)
| g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14) )
| ~ spl15_80 ),
inference(resolution,[],[f1052,f293]) ).
fof(f1052,plain,
( ! [X0,X1] :
( ~ g_both(X1,sK14)
| g_false_only(sK10(sK14,X0),sK14)
| sP1(sK14,sK10(sK14,X0),X0)
| g_true_only(sK10(sK14,X0),sK14)
| ~ g_both(X1,X0)
| g_false_only(sK10(sK14,X0),X0) )
| ~ spl15_80 ),
inference(resolution,[],[f1043,f70]) ).
fof(f70,plain,
! [X3,X0,X1] :
( ~ sP2(X0)
| g_true_only(sK10(X0,X1),X0)
| g_false_only(sK10(X0,X1),X0)
| sP1(X0,sK10(X0,X1),X1)
| ~ g_both(X3,X0)
| ~ g_both(X3,X1)
| g_false_only(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( ( g_both(sK10(X0,X1),X0)
| g_false_only(sK10(X0,X1),X0) )
& g_false_only(sK10(X0,X1),X1) )
| ( ( g_true_only(sK10(X0,X1),X0)
| g_false_only(sK10(X0,X1),X0) )
& g_both(sK10(X0,X1),X1) )
| sP1(X0,sK10(X0,X1),X1)
| ! [X3] :
( ~ g_both(X3,X0)
| ~ g_both(X3,X1) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| sP1(X0,X2,X1) )
=> ( ( ( g_both(sK10(X0,X1),X0)
| g_false_only(sK10(X0,X1),X0) )
& g_false_only(sK10(X0,X1),X1) )
| ( ( g_true_only(sK10(X0,X1),X0)
| g_false_only(sK10(X0,X1),X0) )
& g_both(sK10(X0,X1),X1) )
| sP1(X0,sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ( ( g_both(X2,X0)
| g_false_only(X2,X0) )
& g_false_only(X2,X1) )
| ( ( g_true_only(X2,X0)
| g_false_only(X2,X0) )
& g_both(X2,X1) )
| sP1(X0,X2,X1) )
| ! [X3] :
( ~ g_both(X3,X0)
| ~ g_both(X3,X1) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X3] :
( ! [X6] :
( ? [X7] :
( ( ( g_both(X7,X3)
| g_false_only(X7,X3) )
& g_false_only(X7,X6) )
| ( ( g_true_only(X7,X3)
| g_false_only(X7,X3) )
& g_both(X7,X6) )
| sP1(X3,X7,X6) )
| ! [X8] :
( ~ g_both(X8,X3)
| ~ g_both(X8,X6) ) )
| ~ sP2(X3) ),
inference(nnf_transformation,[],[f15]) ).
fof(f1043,plain,
( sP2(sK14)
| ~ spl15_80 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f7690,plain,
( ~ spl15_31
| spl15_48
| ~ spl15_80
| ~ spl15_187
| spl15_188 ),
inference(avatar_contradiction_clause,[],[f7689]) ).
fof(f7689,plain,
( $false
| ~ spl15_31
| spl15_48
| ~ spl15_80
| ~ spl15_187
| spl15_188 ),
inference(subsumption_resolution,[],[f7688,f6126]) ).
fof(f6126,plain,
( ~ g_true_only(sK10(sK14,sK13(sK14)),sK14)
| ~ spl15_187 ),
inference(resolution,[],[f5988,f84]) ).
fof(f84,plain,
! [X3,X5] :
( ~ g_true_only(X5,sK13(X3))
| ~ g_true_only(X5,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f5988,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| ~ spl15_187 ),
inference(avatar_component_clause,[],[f5986]) ).
fof(f7688,plain,
( g_true_only(sK10(sK14,sK13(sK14)),sK14)
| ~ spl15_31
| spl15_48
| ~ spl15_80
| ~ spl15_187
| spl15_188 ),
inference(subsumption_resolution,[],[f7687,f6127]) ).
fof(f6127,plain,
( ~ g_both(sK10(sK14,sK13(sK14)),sK14)
| ~ spl15_187 ),
inference(resolution,[],[f5988,f83]) ).
fof(f7687,plain,
( g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK14)
| ~ spl15_31
| spl15_48
| ~ spl15_80
| ~ spl15_187
| spl15_188 ),
inference(subsumption_resolution,[],[f7686,f5991]) ).
fof(f5991,plain,
( ~ g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_188 ),
inference(avatar_component_clause,[],[f5990]) ).
fof(f7686,plain,
( g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK14)
| ~ spl15_31
| spl15_48
| ~ spl15_80
| ~ spl15_187 ),
inference(subsumption_resolution,[],[f7683,f343]) ).
fof(f343,plain,
( g_both(sK13(sK14),sK13(sK14))
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl15_31
<=> g_both(sK13(sK14),sK13(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f7683,plain,
( ~ g_both(sK13(sK14),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK14)
| spl15_48
| ~ spl15_80
| ~ spl15_187 ),
inference(resolution,[],[f6330,f2565]) ).
fof(f2565,plain,
( ! [X0] :
( g_false_only(sK10(sK14,X0),X0)
| ~ g_both(sK13(sK14),X0)
| g_both(sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),sK14)
| g_true_only(sK10(sK14,X0),sK14) )
| spl15_48
| ~ spl15_80 ),
inference(resolution,[],[f1363,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| g_both(X1,X0)
| g_true_only(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f1363,plain,
( ! [X0] :
( sP1(sK14,sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),X0)
| ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),X0) )
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f1362,f441]) ).
fof(f1362,plain,
( ! [X0] :
( sP1(sK14,sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),X0)
| ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),X0)
| g_true_only(sK13(sK14),sK14) )
| ~ spl15_80 ),
inference(duplicate_literal_removal,[],[f1358]) ).
fof(f1358,plain,
( ! [X0] :
( sP1(sK14,sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),X0)
| ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),X0)
| g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14) )
| ~ spl15_80 ),
inference(resolution,[],[f1053,f293]) ).
fof(f1053,plain,
( ! [X0,X1] :
( ~ g_both(X1,sK14)
| sP1(sK14,sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),X0)
| ~ g_both(X1,X0)
| g_false_only(sK10(sK14,X0),X0) )
| ~ spl15_80 ),
inference(resolution,[],[f1043,f69]) ).
fof(f69,plain,
! [X3,X0,X1] :
( ~ sP2(X0)
| g_both(sK10(X0,X1),X1)
| sP1(X0,sK10(X0,X1),X1)
| ~ g_both(X3,X0)
| ~ g_both(X3,X1)
| g_false_only(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f6330,plain,
( ~ g_false_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| ~ spl15_187 ),
inference(resolution,[],[f6128,f97]) ).
fof(f6128,plain,
( ~ g_false(sK10(sK14,sK13(sK14)),sK13(sK14))
| ~ spl15_187 ),
inference(resolution,[],[f5988,f101]) ).
fof(f6740,plain,
( ~ spl15_260
| ~ spl15_69 ),
inference(avatar_split_clause,[],[f6735,f739,f6705]) ).
fof(f6705,plain,
( spl15_260
<=> g_true_only(sK12(sK13(sK11)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_260])]) ).
fof(f739,plain,
( spl15_69
<=> g_both(sK12(sK13(sK11)),sK13(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
fof(f6735,plain,
( ~ g_true_only(sK12(sK13(sK11)),sK11)
| ~ spl15_69 ),
inference(resolution,[],[f741,f86]) ).
fof(f741,plain,
( g_both(sK12(sK13(sK11)),sK13(sK11))
| ~ spl15_69 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f6739,plain,
( ~ spl15_68
| ~ spl15_69 ),
inference(avatar_contradiction_clause,[],[f6738]) ).
fof(f6738,plain,
( $false
| ~ spl15_68
| ~ spl15_69 ),
inference(subsumption_resolution,[],[f6734,f6711]) ).
fof(f6711,plain,
( ~ g_both(sK12(sK13(sK11)),sK11)
| ~ spl15_68 ),
inference(resolution,[],[f737,f83]) ).
fof(f737,plain,
( g_true_only(sK12(sK13(sK11)),sK13(sK11))
| ~ spl15_68 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f735,plain,
( spl15_68
<=> g_true_only(sK12(sK13(sK11)),sK13(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
fof(f6734,plain,
( g_both(sK12(sK13(sK11)),sK11)
| ~ spl15_69 ),
inference(resolution,[],[f741,f309]) ).
fof(f309,plain,
! [X0,X1] :
( ~ g_both(X0,sK13(X1))
| g_both(X0,X1) ),
inference(subsumption_resolution,[],[f307,f86]) ).
fof(f307,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_both(X0,X1)
| ~ g_both(X0,sK13(X1)) ),
inference(resolution,[],[f294,f95]) ).
fof(f95,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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,[],[f49]) ).
fof(f49,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,
! [X3,X4] :
( g_both(X3,X4)
<=> ( g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f6729,plain,
( spl15_69
| ~ spl15_19
| ~ spl15_68
| spl15_260 ),
inference(avatar_split_clause,[],[f6728,f6705,f735,f179,f739]) ).
fof(f179,plain,
( spl15_19
<=> ! [X1] :
( g_false_only(sK12(X1),X1)
| sP3(sK11,sK12(X1),X1)
| g_both(sK12(X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f6728,plain,
( g_both(sK12(sK13(sK11)),sK13(sK11))
| ~ spl15_19
| ~ spl15_68
| spl15_260 ),
inference(subsumption_resolution,[],[f6727,f6711]) ).
fof(f6727,plain,
( g_both(sK12(sK13(sK11)),sK13(sK11))
| g_both(sK12(sK13(sK11)),sK11)
| ~ spl15_19
| ~ spl15_68
| spl15_260 ),
inference(subsumption_resolution,[],[f6715,f6706]) ).
fof(f6706,plain,
( ~ g_true_only(sK12(sK13(sK11)),sK11)
| spl15_260 ),
inference(avatar_component_clause,[],[f6705]) ).
fof(f6715,plain,
( g_true_only(sK12(sK13(sK11)),sK11)
| g_both(sK12(sK13(sK11)),sK13(sK11))
| g_both(sK12(sK13(sK11)),sK11)
| ~ spl15_19
| ~ spl15_68 ),
inference(resolution,[],[f6599,f737]) ).
fof(f6599,plain,
( ! [X0] :
( ~ g_true_only(sK12(X0),X0)
| g_true_only(sK12(X0),sK11)
| g_both(sK12(X0),X0)
| g_both(sK12(X0),sK11) )
| ~ spl15_19 ),
inference(resolution,[],[f6415,f100]) ).
fof(f6415,plain,
( ! [X0] :
( ~ g_true(sK12(X0),X0)
| g_both(sK12(X0),sK11)
| g_true_only(sK12(X0),sK11)
| g_both(sK12(X0),X0) )
| ~ spl15_19 ),
inference(resolution,[],[f6397,f98]) ).
fof(f6397,plain,
( ! [X0] :
( g_false_only(sK12(X0),X0)
| g_both(sK12(X0),X0)
| g_both(sK12(X0),sK11)
| g_true_only(sK12(X0),sK11) )
| ~ spl15_19 ),
inference(resolution,[],[f180,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| g_both(X1,X0)
| g_true_only(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ( g_true_only(X1,X0)
| g_both(X1,X0) )
& g_true_only(X1,X2) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X1] :
( ( ( g_true_only(X2,X0)
| g_both(X2,X0) )
& g_true_only(X2,X1) )
| ~ sP3(X0,X2,X1) ),
inference(nnf_transformation,[],[f16]) ).
fof(f180,plain,
( ! [X1] :
( sP3(sK11,sK12(X1),X1)
| g_false_only(sK12(X1),X1)
| g_both(sK12(X1),X1) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f6713,plain,
( ~ spl15_260
| ~ spl15_68 ),
inference(avatar_split_clause,[],[f6710,f735,f6705]) ).
fof(f6710,plain,
( ~ g_true_only(sK12(sK13(sK11)),sK11)
| ~ spl15_68 ),
inference(resolution,[],[f737,f84]) ).
fof(f6708,plain,
( spl15_260
| spl15_68
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f6703,f175,f735,f6705]) ).
fof(f175,plain,
( spl15_18
<=> ! [X1] :
( g_false_only(sK12(X1),X1)
| sP3(sK11,sK12(X1),X1)
| g_false_only(sK12(X1),sK11)
| g_true_only(sK12(X1),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f6703,plain,
( g_true_only(sK12(sK13(sK11)),sK13(sK11))
| g_true_only(sK12(sK13(sK11)),sK11)
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f6700,f308]) ).
fof(f6700,plain,
( g_false_only(sK12(sK13(sK11)),sK13(sK11))
| g_true_only(sK12(sK13(sK11)),sK13(sK11))
| g_true_only(sK12(sK13(sK11)),sK11)
| ~ spl15_18 ),
inference(factoring,[],[f6528]) ).
fof(f6528,plain,
( ! [X0] :
( g_false_only(sK12(X0),X0)
| g_true_only(sK12(X0),sK13(sK11))
| g_true_only(sK12(X0),X0)
| g_true_only(sK12(X0),sK11) )
| ~ spl15_18 ),
inference(resolution,[],[f6407,f230]) ).
fof(f6407,plain,
( ! [X0] :
( g_false_only(sK12(X0),X0)
| g_false_only(sK12(X0),sK11)
| g_true_only(sK12(X0),sK11)
| g_true_only(sK12(X0),X0) )
| ~ spl15_18 ),
inference(resolution,[],[f176,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| g_true_only(X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f176,plain,
( ! [X1] :
( sP3(sK11,sK12(X1),X1)
| g_false_only(sK12(X1),X1)
| g_false_only(sK12(X1),sK11)
| g_true_only(sK12(X1),sK11) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f6678,plain,
( spl15_68
| spl15_69
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f6677,f171,f739,f735]) ).
fof(f171,plain,
( spl15_17
<=> ! [X1] :
( g_both(sK12(X1),sK11)
| sP3(sK11,sK12(X1),X1)
| g_both(sK12(X1),X1)
| g_false_only(sK12(X1),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f6677,plain,
( g_both(sK12(sK13(sK11)),sK13(sK11))
| g_true_only(sK12(sK13(sK11)),sK13(sK11))
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f6672,f229]) ).
fof(f6672,plain,
( g_both(sK12(sK13(sK11)),sK13(sK11))
| g_true_only(sK12(sK13(sK11)),sK13(sK11))
| g_both(sK12(sK13(sK11)),sK11)
| ~ spl15_17 ),
inference(factoring,[],[f6471]) ).
fof(f6471,plain,
( ! [X0] :
( g_both(sK12(X0),X0)
| g_true_only(sK12(X0),sK13(sK11))
| g_true_only(sK12(X0),X0)
| g_both(sK12(X0),sK11) )
| ~ spl15_17 ),
inference(resolution,[],[f6403,f230]) ).
fof(f6403,plain,
( ! [X0] :
( g_both(sK12(X0),X0)
| g_false_only(sK12(X0),sK11)
| g_both(sK12(X0),sK11)
| g_true_only(sK12(X0),X0) )
| ~ spl15_17 ),
inference(resolution,[],[f172,f67]) ).
fof(f172,plain,
( ! [X1] :
( sP3(sK11,sK12(X1),X1)
| g_both(sK12(X1),sK11)
| g_both(sK12(X1),X1)
| g_false_only(sK12(X1),sK11) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f6332,plain,
( ~ spl15_188
| ~ spl15_187 ),
inference(avatar_split_clause,[],[f6331,f5986,f5990]) ).
fof(f6331,plain,
( ~ g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| ~ spl15_187 ),
inference(resolution,[],[f6128,f95]) ).
fof(f6122,plain,
( spl15_187
| spl15_188
| spl15_48
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f6121,f1041,f440,f5990,f5986]) ).
fof(f6121,plain,
( g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f6120,f229]) ).
fof(f6120,plain,
( g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f6119,f230]) ).
fof(f6119,plain,
( g_false_only(sK10(sK14,sK13(sK14)),sK14)
| g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f5978,f441]) ).
fof(f5978,plain,
( g_false_only(sK10(sK14,sK13(sK14)),sK14)
| g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK13(sK14),sK14)
| spl15_48
| ~ spl15_80 ),
inference(duplicate_literal_removal,[],[f5972]) ).
fof(f5972,plain,
( g_false_only(sK10(sK14,sK13(sK14)),sK14)
| g_both(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_both(sK10(sK14,sK13(sK14)),sK14)
| g_true_only(sK10(sK14,sK13(sK14)),sK13(sK14))
| g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| spl15_48
| ~ spl15_80 ),
inference(resolution,[],[f2788,f497]) ).
fof(f497,plain,
! [X0] :
( g_true_only(sK13(X0),X0)
| g_both(sK13(X0),sK13(sK14))
| g_true_only(sK13(X0),sK14) ),
inference(resolution,[],[f454,f229]) ).
fof(f454,plain,
! [X0] :
( g_true_only(sK13(X0),X0)
| g_both(sK13(X0),sK14)
| g_true_only(sK13(X0),sK14) ),
inference(resolution,[],[f310,f227]) ).
fof(f227,plain,
! [X0] :
( ~ g_both(X0,X0)
| g_both(X0,sK14) ),
inference(subsumption_resolution,[],[f221,f77]) ).
fof(f221,plain,
! [X0] :
( g_both(X0,sK14)
| g_true_only(X0,sK14)
| ~ g_both(X0,X0) ),
inference(resolution,[],[f93,f82]) ).
fof(f2788,plain,
( ! [X0] :
( ~ g_both(sK13(sK14),X0)
| g_false_only(sK10(sK14,X0),sK14)
| g_both(sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),sK14)
| g_true_only(sK10(sK14,X0),X0) )
| spl15_48
| ~ spl15_80 ),
inference(resolution,[],[f1372,f73]) ).
fof(f1372,plain,
( ! [X0] :
( sP1(sK14,sK10(sK14,X0),X0)
| g_both(sK10(sK14,X0),X0)
| g_false_only(sK10(sK14,X0),sK14)
| ~ g_both(sK13(sK14),X0)
| g_both(sK10(sK14,X0),sK14) )
| spl15_48
| ~ spl15_80 ),
inference(subsumption_resolution,[],[f1371,f441]) ).
fof(f1371,plain,
( ! [X0] :
( g_both(sK10(sK14,X0),X0)
| sP1(sK14,sK10(sK14,X0),X0)
| g_false_only(sK10(sK14,X0),sK14)
| ~ g_both(sK13(sK14),X0)
| g_both(sK10(sK14,X0),sK14)
| g_true_only(sK13(sK14),sK14) )
| ~ spl15_80 ),
inference(duplicate_literal_removal,[],[f1367]) ).
fof(f1367,plain,
( ! [X0] :
( g_both(sK10(sK14,X0),X0)
| sP1(sK14,sK10(sK14,X0),X0)
| g_false_only(sK10(sK14,X0),sK14)
| ~ g_both(sK13(sK14),X0)
| g_both(sK10(sK14,X0),sK14)
| g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14) )
| ~ spl15_80 ),
inference(resolution,[],[f1051,f293]) ).
fof(f1051,plain,
( ! [X0,X1] :
( ~ g_both(X1,sK14)
| g_both(sK10(sK14,X0),X0)
| sP1(sK14,sK10(sK14,X0),X0)
| g_false_only(sK10(sK14,X0),sK14)
| ~ g_both(X1,X0)
| g_both(sK10(sK14,X0),sK14) )
| ~ spl15_80 ),
inference(resolution,[],[f1043,f71]) ).
fof(f71,plain,
! [X3,X0,X1] :
( ~ sP2(X0)
| g_false_only(sK10(X0,X1),X0)
| g_both(sK10(X0,X1),X1)
| sP1(X0,sK10(X0,X1),X1)
| ~ g_both(X3,X0)
| ~ g_both(X3,X1)
| g_both(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f1050,plain,
( spl15_80
| ~ spl15_2
| ~ spl15_31
| spl15_48 ),
inference(avatar_split_clause,[],[f1049,f440,f341,f111,f1041]) ).
fof(f1049,plain,
( sP2(sK14)
| ~ spl15_2
| ~ spl15_31
| spl15_48 ),
inference(subsumption_resolution,[],[f1032,f441]) ).
fof(f1032,plain,
( sP2(sK14)
| g_true_only(sK13(sK14),sK14)
| ~ spl15_2
| ~ spl15_31 ),
inference(resolution,[],[f112,f462]) ).
fof(f462,plain,
( ~ g_false_only(sK13(sK14),sK14)
| ~ spl15_31 ),
inference(resolution,[],[f343,f85]) ).
fof(f112,plain,
( ! [X2,X0] :
( g_false_only(X2,X0)
| sP2(X0)
| g_true_only(X2,X0) )
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f984,plain,
( ~ spl15_7
| spl15_30 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f983,plain,
( $false
| ~ spl15_7
| spl15_30 ),
inference(subsumption_resolution,[],[f979,f338]) ).
fof(f338,plain,
( ~ g_true_only(sK13(sK14),sK13(sK14))
| spl15_30 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl15_30
<=> g_true_only(sK13(sK14),sK13(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f979,plain,
( g_true_only(sK13(sK14),sK13(sK14))
| ~ spl15_7 ),
inference(resolution,[],[f132,f330]) ).
fof(f330,plain,
~ g_false_only(sK13(sK14),sK13(sK14)),
inference(subsumption_resolution,[],[f318,f78]) ).
fof(f318,plain,
( g_true_only(sK13(sK14),sK14)
| ~ g_false_only(sK13(sK14),sK13(sK14)) ),
inference(duplicate_literal_removal,[],[f315]) ).
fof(f315,plain,
( g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| ~ g_false_only(sK13(sK14),sK13(sK14)) ),
inference(resolution,[],[f293,f80]) ).
fof(f80,plain,
! [X7] :
( ~ g_both(X7,sK14)
| ~ g_false_only(X7,X7) ),
inference(cnf_transformation,[],[f48]) ).
fof(f132,plain,
( ! [X1] :
( g_false_only(X1,X1)
| g_true_only(X1,X1) )
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl15_7
<=> ! [X1] :
( g_false_only(X1,X1)
| g_true_only(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f969,plain,
( spl15_34
| ~ spl15_13
| spl15_32
| spl15_33
| spl15_48
| ~ spl15_49
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f968,f549,f444,f440,f355,f351,f155,f359]) ).
fof(f155,plain,
( spl15_13
<=> ! [X2,X0] :
( g_both(sK9(X0),sK9(X0))
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| sP0(sK9(X0),X0)
| g_both(sK9(X0),X0)
| g_true_only(sK9(X0),sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f355,plain,
( spl15_33
<=> g_both(sK9(sK14),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f968,plain,
( sP0(sK9(sK14),sK14)
| ~ spl15_13
| spl15_32
| spl15_33
| spl15_48
| ~ spl15_49
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f967,f352]) ).
fof(f352,plain,
( ~ g_true_only(sK9(sK14),sK9(sK14))
| spl15_32 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f967,plain,
( sP0(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_13
| spl15_33
| spl15_48
| ~ spl15_49
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f966,f356]) ).
fof(f356,plain,
( ~ g_both(sK9(sK14),sK14)
| spl15_33 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f966,plain,
( sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_13
| spl15_48
| ~ spl15_49
| ~ spl15_50 ),
inference(subsumption_resolution,[],[f965,f892]) ).
fof(f892,plain,
( ~ g_both(sK9(sK14),sK9(sK14))
| ~ spl15_50 ),
inference(resolution,[],[f551,f82]) ).
fof(f965,plain,
( g_both(sK9(sK14),sK9(sK14))
| sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_13
| spl15_48
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f939,f441]) ).
fof(f939,plain,
( g_true_only(sK13(sK14),sK14)
| g_both(sK9(sK14),sK9(sK14))
| sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_13
| ~ spl15_49 ),
inference(duplicate_literal_removal,[],[f935]) ).
fof(f935,plain,
( g_true_only(sK13(sK14),sK14)
| g_both(sK9(sK14),sK9(sK14))
| g_true_only(sK13(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_13
| ~ spl15_49 ),
inference(resolution,[],[f452,f446]) ).
fof(f452,plain,
( ! [X0,X1] :
( ~ g_both(sK13(X0),X1)
| g_true_only(sK13(X0),X0)
| g_both(sK9(X1),sK9(X1))
| g_true_only(sK13(X0),sK14)
| sP0(sK9(X1),X1)
| g_both(sK9(X1),X1)
| g_true_only(sK9(X1),sK9(X1)) )
| ~ spl15_13 ),
inference(resolution,[],[f310,f156]) ).
fof(f156,plain,
( ! [X2,X0] :
( ~ g_both(X2,X2)
| g_both(sK9(X0),sK9(X0))
| ~ g_both(X2,X0)
| sP0(sK9(X0),X0)
| g_both(sK9(X0),X0)
| g_true_only(sK9(X0),sK9(X0)) )
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f867,plain,
( spl15_33
| spl15_34
| spl15_50
| ~ spl15_15
| spl15_48
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f866,f444,f440,f163,f549,f359,f355]) ).
fof(f163,plain,
( spl15_15
<=> ! [X2,X0] :
( g_false_only(sK9(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| sP0(sK9(X0),X0)
| g_both(sK9(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f866,plain,
( g_false_only(sK9(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| ~ spl15_15
| spl15_48
| ~ spl15_49 ),
inference(subsumption_resolution,[],[f792,f441]) ).
fof(f792,plain,
( g_false_only(sK9(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| ~ spl15_15
| ~ spl15_49 ),
inference(duplicate_literal_removal,[],[f788]) ).
fof(f788,plain,
( g_false_only(sK9(sK14),sK14)
| sP0(sK9(sK14),sK14)
| g_both(sK9(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| ~ spl15_15
| ~ spl15_49 ),
inference(resolution,[],[f693,f446]) ).
fof(f693,plain,
( ! [X0,X1] :
( ~ g_both(sK13(X1),X0)
| g_false_only(sK9(X0),X0)
| sP0(sK9(X0),X0)
| g_both(sK9(X0),X0)
| g_true_only(sK13(X1),sK14)
| g_true_only(sK13(X1),X1) )
| ~ spl15_15 ),
inference(resolution,[],[f164,f310]) ).
fof(f164,plain,
( ! [X2,X0] :
( ~ g_both(X2,X2)
| g_false_only(sK9(X0),X0)
| ~ g_both(X2,X0)
| sP0(sK9(X0),X0)
| g_both(sK9(X0),X0) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f865,plain,
( spl15_34
| ~ spl15_14
| spl15_32
| ~ spl15_33
| spl15_48
| ~ spl15_49
| spl15_50 ),
inference(avatar_split_clause,[],[f864,f549,f444,f440,f355,f351,f159,f359]) ).
fof(f864,plain,
( sP0(sK9(sK14),sK14)
| ~ spl15_14
| spl15_32
| ~ spl15_33
| spl15_48
| ~ spl15_49
| spl15_50 ),
inference(subsumption_resolution,[],[f863,f688]) ).
fof(f688,plain,
( ~ g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_33 ),
inference(resolution,[],[f357,f80]) ).
fof(f357,plain,
( g_both(sK9(sK14),sK14)
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f863,plain,
( sP0(sK9(sK14),sK14)
| g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_14
| spl15_32
| spl15_48
| ~ spl15_49
| spl15_50 ),
inference(subsumption_resolution,[],[f862,f352]) ).
fof(f862,plain,
( sP0(sK9(sK14),sK14)
| g_true_only(sK9(sK14),sK9(sK14))
| g_false_only(sK9(sK14),sK9(sK14))
| ~ spl15_14
| spl15_48
| ~ spl15_49
| spl15_50 ),
inference(subsumption_resolution,[],[f861,f550]) ).
fof(f550,plain,
( ~ g_false_only(sK9(sK14),sK14)
| spl15_50 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f753,plain,
( ~ spl15_50
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f751,f355,f549]) ).
fof(f751,plain,
( ~ g_false_only(sK9(sK14),sK14)
| ~ spl15_33 ),
inference(resolution,[],[f690,f85]) ).
fof(f690,plain,
( g_both(sK9(sK14),sK13(sK14))
| ~ spl15_33 ),
inference(resolution,[],[f357,f229]) ).
fof(f691,plain,
( ~ spl15_32
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f689,f355,f351]) ).
fof(f689,plain,
( ~ g_true_only(sK9(sK14),sK9(sK14))
| ~ spl15_33 ),
inference(resolution,[],[f357,f79]) ).
fof(f470,plain,
( spl15_49
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f466,f341,f444]) ).
fof(f466,plain,
( g_both(sK13(sK14),sK14)
| ~ spl15_31 ),
inference(resolution,[],[f343,f227]) ).
fof(f469,plain,
( ~ spl15_48
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f461,f341,f440]) ).
fof(f461,plain,
( ~ g_true_only(sK13(sK14),sK14)
| ~ spl15_31 ),
inference(resolution,[],[f343,f86]) ).
fof(f436,plain,
~ spl15_30,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f434,f428]) ).
fof(f428,plain,
( ~ g_true_only(sK13(sK14),sK14)
| ~ spl15_30 ),
inference(resolution,[],[f339,f84]) ).
fof(f339,plain,
( g_true_only(sK13(sK14),sK13(sK14))
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f434,plain,
( g_true_only(sK13(sK14),sK14)
| ~ spl15_30 ),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f433,plain,
( g_true_only(sK13(sK14),sK14)
| g_true_only(sK13(sK14),sK14)
| ~ spl15_30 ),
inference(resolution,[],[f429,f293]) ).
fof(f429,plain,
( ~ g_both(sK13(sK14),sK14)
| ~ spl15_30 ),
inference(resolution,[],[f339,f83]) ).
fof(f344,plain,
( spl15_30
| spl15_31 ),
inference(avatar_split_clause,[],[f335,f341,f337]) ).
fof(f335,plain,
( g_both(sK13(sK14),sK13(sK14))
| g_true_only(sK13(sK14),sK13(sK14)) ),
inference(resolution,[],[f330,f93]) ).
fof(f181,plain,
( spl15_11
| spl15_6
| spl15_1
| spl15_19 ),
inference(avatar_split_clause,[],[f89,f179,f107,f127,f147]) ).
fof(f147,plain,
( spl15_11
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f127,plain,
( spl15_6
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f107,plain,
( spl15_1
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f89,plain,
! [X1] :
( g_false_only(sK12(X1),X1)
| g_both(sK12(X1),X1)
| sP3(sK11,sK12(X1),X1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f177,plain,
( spl15_11
| spl15_6
| spl15_1
| spl15_18 ),
inference(avatar_split_clause,[],[f90,f175,f107,f127,f147]) ).
fof(f90,plain,
! [X1] :
( g_false_only(sK12(X1),X1)
| g_true_only(sK12(X1),sK11)
| g_false_only(sK12(X1),sK11)
| sP3(sK11,sK12(X1),X1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f173,plain,
( spl15_11
| spl15_6
| spl15_1
| spl15_17 ),
inference(avatar_split_clause,[],[f91,f171,f107,f127,f147]) ).
fof(f91,plain,
! [X1] :
( g_both(sK12(X1),sK11)
| g_false_only(sK12(X1),sK11)
| g_both(sK12(X1),X1)
| sP3(sK11,sK12(X1),X1)
| sP6
| sP5
| sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f165,plain,
( ~ spl15_11
| spl15_15 ),
inference(avatar_split_clause,[],[f63,f163,f147]) ).
fof(f63,plain,
! [X2,X0] :
( g_false_only(sK9(X0),X0)
| g_both(sK9(X0),X0)
| sP0(sK9(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ! [X0] :
( ( ( g_both(sK9(X0),sK9(X0))
| g_true_only(sK9(X0),sK9(X0)) )
& g_false_only(sK9(X0),X0) )
| ( ( g_false_only(sK9(X0),sK9(X0))
| g_true_only(sK9(X0),sK9(X0)) )
& g_both(sK9(X0),X0) )
| sP0(sK9(X0),X0)
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f30,f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| sP0(X1,X0) )
=> ( ( ( g_both(sK9(X0),sK9(X0))
| g_true_only(sK9(X0),sK9(X0)) )
& g_false_only(sK9(X0),X0) )
| ( ( g_false_only(sK9(X0),sK9(X0))
| g_true_only(sK9(X0),sK9(X0)) )
& g_both(sK9(X0),X0) )
| sP0(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_true_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_false_only(X1,X1)
| g_true_only(X1,X1) )
& g_both(X1,X0) )
| sP0(X1,X0) )
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP4 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ! [X11] :
( ? [X12] :
( ( ( g_both(X12,X12)
| g_true_only(X12,X12) )
& g_false_only(X12,X11) )
| ( ( g_false_only(X12,X12)
| g_true_only(X12,X12) )
& g_both(X12,X11) )
| sP0(X12,X11) )
| ! [X13] :
( ~ g_both(X13,X13)
| ~ g_both(X13,X11) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f17]) ).
fof(f161,plain,
( ~ spl15_11
| spl15_14 ),
inference(avatar_split_clause,[],[f64,f159,f147]) ).
fof(f64,plain,
! [X2,X0] :
( g_false_only(sK9(X0),X0)
| g_false_only(sK9(X0),sK9(X0))
| g_true_only(sK9(X0),sK9(X0))
| sP0(sK9(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f32]) ).
fof(f157,plain,
( ~ spl15_11
| spl15_13 ),
inference(avatar_split_clause,[],[f65,f155,f147]) ).
fof(f65,plain,
! [X2,X0] :
( g_both(sK9(X0),sK9(X0))
| g_true_only(sK9(X0),sK9(X0))
| g_both(sK9(X0),X0)
| sP0(sK9(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP4 ),
inference(cnf_transformation,[],[f32]) ).
fof(f133,plain,
( ~ spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f62,f131,f127]) ).
fof(f62,plain,
! [X1] :
( g_false_only(X1,X1)
| g_true_only(X1,X1)
| ~ sP5 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ! [X1] :
( ( g_false_only(X1,X1)
& g_false_only(X1,sK8) )
| ( g_true_only(X1,X1)
& g_true_only(X1,sK8) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f26,f27]) ).
fof(f27,plain,
( ? [X0] :
! [X1] :
( ( g_false_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_true_only(X1,X1)
& g_true_only(X1,X0) ) )
=> ! [X1] :
( ( g_false_only(X1,X1)
& g_false_only(X1,sK8) )
| ( g_true_only(X1,X1)
& g_true_only(X1,sK8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X0] :
! [X1] :
( ( g_false_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_true_only(X1,X1)
& g_true_only(X1,X0) ) )
| ~ sP5 ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
( ? [X9] :
! [X10] :
( ( g_false_only(X10,X10)
& g_false_only(X10,X9) )
| ( g_true_only(X10,X10)
& g_true_only(X10,X9) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f18]) ).
fof(f121,plain,
( ~ spl15_1
| spl15_4 ),
inference(avatar_split_clause,[],[f56,f119,f107]) ).
fof(f56,plain,
! [X2,X0] :
( g_false_only(X2,sK7(X0))
| g_false_only(X2,X0)
| sP2(X0)
| ~ sP6 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ! [X0] :
( ! [X2] :
( ( g_true_only(X2,X0)
& g_false_only(X2,sK7(X0)) )
| ( g_false_only(X2,X0)
& g_true_only(X2,sK7(X0)) ) )
| sP2(X0) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f22,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( g_true_only(X2,X0)
& g_false_only(X2,X1) )
| ( g_false_only(X2,X0)
& g_true_only(X2,X1) ) )
=> ! [X2] :
( ( g_true_only(X2,X0)
& g_false_only(X2,sK7(X0)) )
| ( g_false_only(X2,X0)
& g_true_only(X2,sK7(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ! [X0] :
( ? [X1] :
! [X2] :
( ( g_true_only(X2,X0)
& g_false_only(X2,X1) )
| ( g_false_only(X2,X0)
& g_true_only(X2,X1) ) )
| sP2(X0) )
| ~ sP6 ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ! [X3] :
( ? [X4] :
! [X5] :
( ( g_true_only(X5,X3)
& g_false_only(X5,X4) )
| ( g_false_only(X5,X3)
& g_true_only(X5,X4) ) )
| sP2(X3) )
| ~ sP6 ),
inference(nnf_transformation,[],[f19]) ).
fof(f117,plain,
( ~ spl15_1
| spl15_3 ),
inference(avatar_split_clause,[],[f57,f115,f107]) ).
fof(f57,plain,
! [X2,X0] :
( g_true_only(X2,X0)
| g_true_only(X2,sK7(X0))
| sP2(X0)
| ~ sP6 ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO605+1 : TPTP v8.1.2. Released v7.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:49:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28375)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28379)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 theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (28378)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (28383)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (28381)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (28380)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (28382)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (28376)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.47 TRYING [5]
% 0.22/0.49 TRYING [5]
% 0.22/0.50 TRYING [6]
% 0.22/0.51 TRYING [6]
% 0.22/0.55 TRYING [6]
% 0.22/0.58 TRYING [6]
% 0.22/0.59 % (28382)First to succeed.
% 0.22/0.60 % (28382)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28375"
% 0.22/0.60 % (28382)Refutation found. Thanks to Tanya!
% 0.22/0.60 % SZS status Theorem for theBenchmark
% 0.22/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.60 % (28382)------------------------------
% 0.22/0.60 % (28382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.60 % (28382)Termination reason: Refutation
% 0.22/0.60
% 0.22/0.60 % (28382)Memory used [KB]: 2865
% 0.22/0.60 % (28382)Time elapsed: 0.218 s
% 0.22/0.60 % (28382)Instructions burned: 308 (million)
% 0.22/0.60 % (28375)Success in time 0.226 s
%------------------------------------------------------------------------------