%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO604+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:28:25 PM UTC 2026
% Result : Theorem 4.68s 1.57s
% Output : Refutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 9
% Syntax : Number of formulae : 227 ( 10 unt; 4 def)
% Number of atoms : 1145 ( 0 equ)
% Maximal formula atoms : 59 ( 5 avg)
% Number of connectives : 1539 ( 621 ~; 680 |; 235 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-1 aty)
% Number of variables : 416 ( 316 !; 100 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_both(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_false_only(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) ) ) )
| ( ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_both(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_false_only(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) ) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) ) )
| ( g_false_only(X1,X0)
& ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc3) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_both(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_false_only(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) ) ) )
| ( ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_both(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) )
| ( g_false_only(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) ) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) ) )
| ( g_false_only(X1,X0)
& ? [X2] :
( g_true_only(X1,X2)
& g_true_only(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( g_true(X0,X1)
& ~ g_false(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f4,axiom,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_true(X0,X1)
& g_false(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f5,axiom,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( g_false(X0,X1)
& ~ g_true(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f6,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7,plain,
~ ( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( ( ? [X2] :
( ( g_both(X1,X2)
| g_both(X2,X1) )
& ~ g_false_only(X1,X2)
& ~ g_false_only(X2,X1) )
& ~ ? [X3] :
( g_true_only(X1,X3)
& g_true_only(X3,X1) ) )
| ? [X4] :
( g_true_only(X1,X4)
& g_true_only(X4,X1) ) ) )
| ( g_both(X1,X0)
& ( ! [X5] :
( g_false_only(X1,X5)
| g_false_only(X5,X1) )
| ? [X6] :
( g_true_only(X1,X6)
& g_true_only(X6,X1) ) ) )
| ( g_false_only(X1,X0)
& ( ! [X7] :
( g_false_only(X1,X7)
| g_false_only(X7,X1) )
| ( ? [X8] :
( ( g_both(X1,X8)
| g_both(X8,X1) )
& ~ g_false_only(X1,X8)
& ~ g_false_only(X8,X1) )
& ~ ? [X9] :
( g_true_only(X1,X9)
& g_true_only(X9,X1) ) ) ) ) )
| ( ? [X10] :
( ? [X11] :
( g_both(X11,X10)
& ? [X12] :
( ( g_both(X11,X12)
| g_both(X12,X11) )
& ~ g_false_only(X11,X12)
& ~ g_false_only(X12,X11) )
& ~ ? [X13] :
( g_true_only(X11,X13)
& g_true_only(X13,X11) ) )
& ~ ? [X14] :
( ( g_true_only(X14,X10)
& ( ( ? [X15] :
( ( g_both(X14,X15)
| g_both(X15,X14) )
& ~ g_false_only(X14,X15)
& ~ g_false_only(X15,X14) )
& ~ ? [X16] :
( g_true_only(X14,X16)
& g_true_only(X16,X14) ) )
| ? [X17] :
( g_true_only(X14,X17)
& g_true_only(X17,X14) ) ) )
| ( g_both(X14,X10)
& ( ! [X18] :
( g_false_only(X14,X18)
| g_false_only(X18,X14) )
| ? [X19] :
( g_true_only(X14,X19)
& g_true_only(X19,X14) ) ) )
| ( g_false_only(X14,X10)
& ( ! [X20] :
( g_false_only(X14,X20)
| g_false_only(X20,X14) )
| ( ? [X21] :
( ( g_both(X14,X21)
| g_both(X21,X14) )
& ~ g_false_only(X14,X21)
& ~ g_false_only(X21,X14) )
& ~ ? [X22] :
( g_true_only(X14,X22)
& g_true_only(X22,X14) ) ) ) ) ) )
& ~ ? [X23] :
! [X24] :
( ( g_true_only(X24,X23)
& ! [X25] :
( g_false_only(X24,X25)
| g_false_only(X25,X24) ) )
| ( g_false_only(X24,X23)
& ? [X26] :
( g_true_only(X24,X26)
& g_true_only(X26,X24) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
( ? [X0] :
! [X1] :
( ( ~ g_true_only(X1,X0)
| ( ( ! [X2] :
( ( ~ g_both(X1,X2)
& ~ g_both(X2,X1) )
| g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X3] :
( g_true_only(X1,X3)
& g_true_only(X3,X1) ) )
& ! [X4] :
( ~ g_true_only(X1,X4)
| ~ g_true_only(X4,X1) ) ) )
& ( ~ g_both(X1,X0)
| ( ? [X5] :
( ~ g_false_only(X1,X5)
& ~ g_false_only(X5,X1) )
& ! [X6] :
( ~ g_true_only(X1,X6)
| ~ g_true_only(X6,X1) ) ) )
& ( ~ g_false_only(X1,X0)
| ( ? [X7] :
( ~ g_false_only(X1,X7)
& ~ g_false_only(X7,X1) )
& ( ! [X8] :
( ( ~ g_both(X1,X8)
& ~ g_both(X8,X1) )
| g_false_only(X1,X8)
| g_false_only(X8,X1) )
| ? [X9] :
( g_true_only(X1,X9)
& g_true_only(X9,X1) ) ) ) ) )
& ( ! [X10] :
( ! [X11] :
( ~ g_both(X11,X10)
| ! [X12] :
( ( ~ g_both(X11,X12)
& ~ g_both(X12,X11) )
| g_false_only(X11,X12)
| g_false_only(X12,X11) )
| ? [X13] :
( g_true_only(X11,X13)
& g_true_only(X13,X11) ) )
| ? [X14] :
( ( g_true_only(X14,X10)
& ( ( ? [X15] :
( ( g_both(X14,X15)
| g_both(X15,X14) )
& ~ g_false_only(X14,X15)
& ~ g_false_only(X15,X14) )
& ! [X16] :
( ~ g_true_only(X14,X16)
| ~ g_true_only(X16,X14) ) )
| ? [X17] :
( g_true_only(X14,X17)
& g_true_only(X17,X14) ) ) )
| ( g_both(X14,X10)
& ( ! [X18] :
( g_false_only(X14,X18)
| g_false_only(X18,X14) )
| ? [X19] :
( g_true_only(X14,X19)
& g_true_only(X19,X14) ) ) )
| ( g_false_only(X14,X10)
& ( ! [X20] :
( g_false_only(X14,X20)
| g_false_only(X20,X14) )
| ( ? [X21] :
( ( g_both(X14,X21)
| g_both(X21,X14) )
& ~ g_false_only(X14,X21)
& ~ g_false_only(X21,X14) )
& ! [X22] :
( ~ g_true_only(X14,X22)
| ~ g_true_only(X22,X14) ) ) ) ) ) )
| ? [X23] :
! [X24] :
( ( g_true_only(X24,X23)
& ! [X25] :
( g_false_only(X24,X25)
| g_false_only(X25,X24) ) )
| ( g_false_only(X24,X23)
& ? [X26] :
( g_true_only(X24,X26)
& g_true_only(X26,X24) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,definition,
! [X14] :
( ( ? [X15] :
( ( g_both(X14,X15)
| g_both(X15,X14) )
& ~ g_false_only(X14,X15)
& ~ g_false_only(X15,X14) )
& ! [X16] :
( ~ g_true_only(X14,X16)
| ~ g_true_only(X16,X14) ) )
| ? [X17] :
( g_true_only(X14,X17)
& g_true_only(X17,X14) )
| ~ sP0(X14) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X10,X14] :
( ( g_false_only(X14,X10)
& ( ! [X20] :
( g_false_only(X14,X20)
| g_false_only(X20,X14) )
| ( ? [X21] :
( ( g_both(X14,X21)
| g_both(X21,X14) )
& ~ g_false_only(X14,X21)
& ~ g_false_only(X21,X14) )
& ! [X22] :
( ~ g_true_only(X14,X22)
| ~ g_true_only(X22,X14) ) ) ) )
| ~ sP1(X10,X14) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X10] :
( ? [X14] :
( ( g_true_only(X14,X10)
& sP0(X14) )
| ( g_both(X14,X10)
& ( ! [X18] :
( g_false_only(X14,X18)
| g_false_only(X18,X14) )
| ? [X19] :
( g_true_only(X14,X19)
& g_true_only(X19,X14) ) ) )
| sP1(X10,X14) )
| ~ sP2(X10) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ? [X23] :
! [X24] :
( ( g_true_only(X24,X23)
& ! [X25] :
( g_false_only(X24,X25)
| g_false_only(X25,X24) ) )
| ( g_false_only(X24,X23)
& ? [X26] :
( g_true_only(X24,X26)
& g_true_only(X26,X24) ) ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,plain,
( ? [X0] :
! [X1] :
( ( ~ g_true_only(X1,X0)
| ( ( ! [X2] :
( ( ~ g_both(X1,X2)
& ~ g_both(X2,X1) )
| g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X3] :
( g_true_only(X1,X3)
& g_true_only(X3,X1) ) )
& ! [X4] :
( ~ g_true_only(X1,X4)
| ~ g_true_only(X4,X1) ) ) )
& ( ~ g_both(X1,X0)
| ( ? [X5] :
( ~ g_false_only(X1,X5)
& ~ g_false_only(X5,X1) )
& ! [X6] :
( ~ g_true_only(X1,X6)
| ~ g_true_only(X6,X1) ) ) )
& ( ~ g_false_only(X1,X0)
| ( ? [X7] :
( ~ g_false_only(X1,X7)
& ~ g_false_only(X7,X1) )
& ( ! [X8] :
( ( ~ g_both(X1,X8)
& ~ g_both(X8,X1) )
| g_false_only(X1,X8)
| g_false_only(X8,X1) )
| ? [X9] :
( g_true_only(X1,X9)
& g_true_only(X9,X1) ) ) ) ) )
& ( ! [X10] :
( ! [X11] :
( ~ g_both(X11,X10)
| ! [X12] :
( ( ~ g_both(X11,X12)
& ~ g_both(X12,X11) )
| g_false_only(X11,X12)
| g_false_only(X12,X11) )
| ? [X13] :
( g_true_only(X11,X13)
& g_true_only(X13,X11) ) )
| sP2(X10) )
| sP3 ) ),
inference(definition_folding,[],[f8,f12,f11,f10,f9]) ).
fof(f14,plain,
( ? [X23] :
! [X24] :
( ( g_true_only(X24,X23)
& ! [X25] :
( g_false_only(X24,X25)
| g_false_only(X25,X24) ) )
| ( g_false_only(X24,X23)
& ? [X26] :
( g_true_only(X24,X26)
& g_true_only(X26,X24) ) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
( ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) ) )
| ( g_false_only(X1,X0)
& ? [X3] :
( g_true_only(X1,X3)
& g_true_only(X3,X1) ) ) )
| ~ sP3 ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
( ! [X1] :
( ( g_true_only(X1,sK4)
& ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) ) )
| ( g_false_only(X1,sK4)
& g_true_only(X1,sK5(X1))
& g_true_only(sK5(X1),X1) ) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X3,sK5(X1))],[f15]) ).
fof(f17,plain,
! [X10] :
( ? [X14] :
( ( g_true_only(X14,X10)
& sP0(X14) )
| ( g_both(X14,X10)
& ( ! [X18] :
( g_false_only(X14,X18)
| g_false_only(X18,X14) )
| ? [X19] :
( g_true_only(X14,X19)
& g_true_only(X19,X14) ) ) )
| sP1(X10,X14) )
| ~ sP2(X10) ),
inference(nnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( ( g_true_only(X1,X0)
& sP0(X1) )
| ( g_both(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ? [X3] :
( g_true_only(X1,X3)
& g_true_only(X3,X1) ) ) )
| sP1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ( g_true_only(sK6(X0),X0)
& sP0(sK6(X0)) )
| ( g_both(sK6(X0),X0)
& ( ! [X2] :
( g_false_only(sK6(X0),X2)
| g_false_only(X2,sK6(X0)) )
| ( g_true_only(sK6(X0),sK7(X0))
& g_true_only(sK7(X0),sK6(X0)) ) ) )
| sP1(X0,sK6(X0))
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X3,sK7(X0))],[f18]) ).
fof(f20,plain,
! [X10,X14] :
( ( g_false_only(X14,X10)
& ( ! [X20] :
( g_false_only(X14,X20)
| g_false_only(X20,X14) )
| ( ? [X21] :
( ( g_both(X14,X21)
| g_both(X21,X14) )
& ~ g_false_only(X14,X21)
& ~ g_false_only(X21,X14) )
& ! [X22] :
( ~ g_true_only(X14,X22)
| ~ g_true_only(X22,X14) ) ) ) )
| ~ sP1(X10,X14) ),
inference(nnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X0,X1] :
( ( g_false_only(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( ? [X3] :
( ( g_both(X1,X3)
| g_both(X3,X1) )
& ~ g_false_only(X1,X3)
& ~ g_false_only(X3,X1) )
& ! [X4] :
( ~ g_true_only(X1,X4)
| ~ g_true_only(X4,X1) ) ) ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( g_false_only(X1,X0)
& ( ! [X2] :
( g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( ( g_both(X1,sK8(X1))
| g_both(sK8(X1),X1) )
& ~ g_false_only(X1,sK8(X1))
& ~ g_false_only(sK8(X1),X1)
& ! [X4] :
( ~ g_true_only(X1,X4)
| ~ g_true_only(X4,X1) ) ) ) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X1))],[f21]) ).
fof(f23,plain,
! [X14] :
( ( ? [X15] :
( ( g_both(X14,X15)
| g_both(X15,X14) )
& ~ g_false_only(X14,X15)
& ~ g_false_only(X15,X14) )
& ! [X16] :
( ~ g_true_only(X14,X16)
| ~ g_true_only(X16,X14) ) )
| ? [X17] :
( g_true_only(X14,X17)
& g_true_only(X17,X14) )
| ~ sP0(X14) ),
inference(nnf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0] :
( ( ? [X1] :
( ( g_both(X0,X1)
| g_both(X1,X0) )
& ~ g_false_only(X0,X1)
& ~ g_false_only(X1,X0) )
& ! [X2] :
( ~ g_true_only(X0,X2)
| ~ g_true_only(X2,X0) ) )
| ? [X3] :
( g_true_only(X0,X3)
& g_true_only(X3,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( ( g_both(X0,sK9(X0))
| g_both(sK9(X0),X0) )
& ~ g_false_only(X0,sK9(X0))
& ~ g_false_only(sK9(X0),X0)
& ! [X2] :
( ~ g_true_only(X0,X2)
| ~ g_true_only(X2,X0) ) )
| ( g_true_only(X0,sK10(X0))
& g_true_only(sK10(X0),X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X1,sK9(X0)),skolemize(X3,sK10(X0))],[f24]) ).
fof(f26,plain,
( ! [X1] :
( ( ~ g_true_only(X1,sK11)
| ( ( ! [X2] :
( ( ~ g_both(X1,X2)
& ~ g_both(X2,X1) )
| g_false_only(X1,X2)
| g_false_only(X2,X1) )
| ( g_true_only(X1,sK12(X1))
& g_true_only(sK12(X1),X1) ) )
& ! [X4] :
( ~ g_true_only(X1,X4)
| ~ g_true_only(X4,X1) ) ) )
& ( ~ g_both(X1,sK11)
| ( ~ g_false_only(X1,sK13(X1))
& ~ g_false_only(sK13(X1),X1)
& ! [X6] :
( ~ g_true_only(X1,X6)
| ~ g_true_only(X6,X1) ) ) )
& ( ~ g_false_only(X1,sK11)
| ( ~ g_false_only(X1,sK14(X1))
& ~ g_false_only(sK14(X1),X1)
& ( ! [X8] :
( ( ~ g_both(X1,X8)
& ~ g_both(X8,X1) )
| g_false_only(X1,X8)
| g_false_only(X8,X1) )
| ( g_true_only(X1,sK15(X1))
& g_true_only(sK15(X1),X1) ) ) ) ) )
& ( ! [X10] :
( ! [X11] :
( ~ g_both(X11,X10)
| ! [X12] :
( ( ~ g_both(X11,X12)
& ~ g_both(X12,X11) )
| g_false_only(X11,X12)
| g_false_only(X12,X11) )
| ( g_true_only(X11,sK16(X11))
& g_true_only(sK16(X11),X11) ) )
| sP2(X10) )
| sP3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK11),skolemize(X3,sK12(X1)),skolemize(X5,sK13(X1)),skolemize(X7,sK14(X1)),skolemize(X9,sK15(X1)),skolemize(X13,sK16(X11))],[f13]) ).
fof(f27,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| ~ g_true(X0,X1)
| g_false(X0,X1) )
& ( ( g_true(X0,X1)
& ~ g_false(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| ~ g_true(X0,X1)
| g_false(X0,X1) )
& ( ( g_true(X0,X1)
& ~ g_false(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| ~ g_false(X0,X1)
| g_true(X0,X1) )
& ( ( g_false(X0,X1)
& ~ g_true(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| ~ g_false(X0,X1)
| g_true(X0,X1) )
& ( ( g_false(X0,X1)
& ~ g_true(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X2,X1] :
( g_false_only(X2,X1)
| g_false_only(X1,X2)
| g_false_only(X1,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X1] :
( g_true_only(sK5(X1),X1)
| g_true_only(X1,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X1] :
( g_true_only(X1,sK5(X1))
| g_true_only(X1,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X0] :
( sP1(X0,sK6(X0))
| g_both(sK6(X0),X0)
| sP0(sK6(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X2,X0] :
( g_true_only(sK7(X0),sK6(X0))
| g_false_only(sK6(X0),X2)
| g_false_only(X2,sK6(X0))
| g_true_only(sK6(X0),X0)
| sP1(X0,sK6(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X2,X0] :
( g_true_only(sK6(X0),sK7(X0))
| g_false_only(sK6(X0),X2)
| g_false_only(X2,sK6(X0))
| g_true_only(sK6(X0),X0)
| sP1(X0,sK6(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0] :
( sP1(X0,sK6(X0))
| g_both(sK6(X0),X0)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X2,X0,X1,X4] :
( g_false_only(X2,X1)
| g_false_only(X1,X2)
| ~ g_true_only(X1,X4)
| ~ g_true_only(X4,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
! [X0,X1] :
( g_false_only(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0] :
( g_true_only(sK10(X0),X0)
| ~ g_false_only(sK9(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
! [X0] :
( g_true_only(X0,sK10(X0))
| ~ g_false_only(sK9(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
! [X0] :
( g_true_only(sK10(X0),X0)
| ~ g_false_only(X0,sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0] :
( g_true_only(X0,sK10(X0))
| ~ g_false_only(X0,sK9(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
! [X10,X11,X12] :
( g_true_only(sK16(X11),X11)
| ~ g_both(X11,X12)
| g_false_only(X11,X12)
| g_false_only(X12,X11)
| ~ g_both(X11,X10)
| sP2(X10)
| sP3 ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
! [X10,X11,X12] :
( g_true_only(X11,sK16(X11))
| ~ g_both(X11,X12)
| g_false_only(X11,X12)
| g_false_only(X12,X11)
| ~ g_both(X11,X10)
| sP2(X10)
| sP3 ),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X1,X8] :
( g_true_only(sK15(X1),X1)
| ~ g_both(X8,X1)
| g_false_only(X1,X8)
| g_false_only(X8,X1)
| ~ g_false_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
! [X1,X8] :
( g_true_only(X1,sK15(X1))
| ~ g_both(X8,X1)
| g_false_only(X1,X8)
| g_false_only(X8,X1)
| ~ g_false_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
! [X1,X8] :
( g_true_only(sK15(X1),X1)
| ~ g_both(X1,X8)
| g_false_only(X1,X8)
| g_false_only(X8,X1)
| ~ g_false_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X1,X8] :
( g_true_only(X1,sK15(X1))
| ~ g_both(X1,X8)
| g_false_only(X1,X8)
| g_false_only(X8,X1)
| ~ g_false_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f66,plain,
! [X1] :
( ~ g_false_only(sK14(X1),X1)
| ~ g_false_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X1] :
( ~ g_false_only(X1,sK14(X1))
| ~ g_false_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X1,X6] :
( ~ g_both(X1,sK11)
| ~ g_true_only(X1,X6)
| ~ g_true_only(X6,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X1] :
( ~ g_false_only(sK13(X1),X1)
| ~ g_both(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X1] :
( ~ g_false_only(X1,sK13(X1))
| ~ g_both(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f71,plain,
! [X1,X4] :
( ~ g_true_only(X4,X1)
| ~ g_true_only(X1,X4)
| ~ g_true_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
! [X2,X1] :
( g_true_only(sK12(X1),X1)
| ~ g_both(X2,X1)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_true_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
! [X2,X1] :
( g_true_only(X1,sK12(X1))
| ~ g_both(X2,X1)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_true_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f74,plain,
! [X2,X1] :
( g_true_only(sK12(X1),X1)
| ~ g_both(X1,X2)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_true_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f75,plain,
! [X2,X1] :
( g_true_only(X1,sK12(X1))
| ~ g_both(X1,X2)
| g_false_only(X1,X2)
| g_false_only(X2,X1)
| ~ g_true_only(X1,sK11) ),
inference(cnf_transformation,[],[f26]) ).
fof(f76,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f77,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f78,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_true(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f80,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f81,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f82,plain,
! [X0,X1] :
( g_both(X0,X1)
| ~ g_true(X0,X1)
| ~ g_false(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f83,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f87,plain,
( ~ g_true_only(sK11,sK11)
| ~ g_true_only(sK11,sK11) ),
inference(factoring,[],[f71]) ).
fof(f88,plain,
~ g_true_only(sK11,sK11),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f98,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_true_only(X1,sK11)
| ~ g_true_only(X1,sK12(X1))
| ~ g_true_only(X1,sK11) ),
inference(resolution,[],[f72,f71]) ).
fof(f100,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_true_only(X1,sK11)
| ~ g_true_only(X1,sK12(X1)) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f103,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0)
| ~ g_true_only(X0,sK11)
| ~ g_true_only(X0,sK12(X0))
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f74,f71]) ).
fof(f105,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0)
| ~ g_true_only(X0,sK11)
| ~ g_true_only(X0,sK12(X0)) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f120,plain,
! [X0,X1] :
( g_false_only(X1,X0)
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| ~ g_true_only(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f100,f73]) ).
fof(f123,plain,
! [X0] :
( ~ g_both(X0,sK14(X0))
| g_false_only(X0,sK14(X0))
| ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f120,f66]) ).
fof(f124,plain,
! [X0] :
( ~ g_both(sK14(X0),X0)
| g_false_only(sK14(X0),X0)
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f120,f67]) ).
fof(f126,plain,
! [X0] :
( ~ g_both(X0,sK13(X0))
| g_false_only(X0,sK13(X0))
| ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f120,f69]) ).
fof(f127,plain,
! [X0] :
( ~ g_both(X0,sK13(X0))
| ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f126,f70]) ).
fof(f129,plain,
! [X0] :
( ~ g_both(sK14(X0),X0)
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f124,f66]) ).
fof(f130,plain,
! [X0] :
( ~ g_both(X0,sK14(X0))
| ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f123,f67]) ).
fof(f137,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(resolution,[],[f80,f77]) ).
fof(f138,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_both(X0,X1) ),
inference(resolution,[],[f83,f81]) ).
fof(f139,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(resolution,[],[f83,f78]) ).
fof(f140,plain,
! [X0,X1] :
( g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| ~ g_true_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f105,f75]) ).
fof(f141,plain,
! [X0] :
( g_false_only(X0,sK14(X0))
| ~ g_both(X0,sK14(X0))
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f140,f66]) ).
fof(f142,plain,
! [X0] :
( g_false_only(sK14(X0),X0)
| ~ g_both(sK14(X0),X0)
| ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f140,f67]) ).
fof(f143,plain,
! [X0] :
( g_false_only(sK13(X0),X0)
| ~ g_both(sK13(X0),X0)
| ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f140,f70]) ).
fof(f146,plain,
! [X0] :
( ~ g_both(sK13(X0),X0)
| ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f143,f69]) ).
fof(f147,plain,
! [X0] :
( ~ g_both(sK14(X0),X0)
| ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f142,f66]) ).
fof(f148,plain,
! [X0] :
( ~ g_both(X0,sK14(X0))
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f141,f67]) ).
fof(f156,plain,
! [X0] :
( g_true_only(X0,sK4)
| ~ sP3
| ~ g_true_only(sK5(X0),X0)
| ~ g_true_only(sK5(X0),sK11) ),
inference(resolution,[],[f37,f71]) ).
fof(f157,plain,
! [X0] :
( ~ g_true_only(sK5(X0),sK11)
| ~ sP3
| g_true_only(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f156,f36]) ).
fof(f158,plain,
( ~ sP3
| g_true_only(sK11,sK4)
| g_true_only(sK11,sK4)
| ~ sP3 ),
inference(resolution,[],[f157,f36]) ).
fof(f159,plain,
( g_true_only(sK11,sK4)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f160,plain,
( ~ sP3
| ~ g_true_only(sK4,sK11)
| ~ g_true_only(sK4,sK11) ),
inference(resolution,[],[f159,f71]) ).
fof(f161,plain,
( ~ g_true_only(sK4,sK11)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f162,plain,
! [X0] :
( g_both(sK14(X0),X0)
| g_true_only(sK14(X0),X0)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f76,f66]) ).
fof(f163,plain,
! [X0] :
( g_both(X0,sK14(X0))
| g_true_only(X0,sK14(X0))
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f76,f67]) ).
fof(f164,plain,
! [X0] :
( g_both(X0,sK13(X0))
| g_true_only(X0,sK13(X0))
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f76,f70]) ).
fof(f165,plain,
! [X0] :
( g_both(sK13(X0),X0)
| g_true_only(sK13(X0),X0)
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f76,f69]) ).
fof(f177,plain,
! [X0] :
( g_true_only(sK14(X0),X0)
| ~ g_false_only(X0,sK11)
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f162,f129]) ).
fof(f179,plain,
! [X0] :
( g_true_only(sK14(X0),X0)
| ~ g_false_only(X0,sK11)
| ~ g_true_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f181,plain,
! [X0] :
( ~ g_false_only(X0,sK11)
| ~ g_true_only(X0,sK11)
| ~ g_true_only(X0,sK14(X0))
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f179,f71]) ).
fof(f183,plain,
! [X0] :
( ~ g_true_only(X0,sK14(X0))
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f185,plain,
! [X0] :
( g_false_only(sK14(X0),X0)
| g_false_only(sK14(X0),sK4)
| ~ sP3
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f35,f67]) ).
fof(f186,plain,
! [X0] :
( g_false_only(sK13(X0),X0)
| g_false_only(sK13(X0),sK4)
| ~ sP3
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f35,f70]) ).
fof(f189,plain,
! [X0] :
( g_false_only(sK13(X0),sK4)
| ~ sP3
| ~ g_both(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f186,f69]) ).
fof(f190,plain,
! [X0] :
( g_false_only(sK14(X0),sK4)
| ~ sP3
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f185,f66]) ).
fof(f194,plain,
! [X0] :
( ~ g_false_only(sK9(X0),X0)
| ~ sP0(X0)
| ~ g_true_only(X0,sK10(X0))
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f52,f71]) ).
fof(f198,plain,
( ~ sP3
| ~ g_both(sK4,sK11)
| ~ g_both(sK4,sK11) ),
inference(resolution,[],[f189,f69]) ).
fof(f199,plain,
( ~ g_both(sK4,sK11)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f203,plain,
! [X0] :
( ~ g_false_only(X0,sK9(X0))
| ~ sP0(X0)
| ~ g_true_only(X0,sK10(X0))
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f54,f71]) ).
fof(f219,plain,
( ~ sP3
| ~ g_false_only(sK4,sK11)
| ~ g_false_only(sK4,sK11) ),
inference(resolution,[],[f190,f66]) ).
fof(f220,plain,
( ~ g_false_only(sK4,sK11)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f223,plain,
( ~ sP3
| g_both(sK4,sK11)
| g_true_only(sK4,sK11) ),
inference(resolution,[],[f220,f76]) ).
fof(f229,plain,
( ~ sP3
| g_true_only(sK4,sK11) ),
inference(forward_subsumption_resolution,[],[f223,f199]) ).
fof(f230,plain,
~ sP3,
inference(forward_subsumption_resolution,[],[f229,f161]) ).
fof(f277,plain,
! [X2,X0,X1] :
( g_false_only(X0,sK14(X0))
| ~ g_true_only(X0,X1)
| ~ g_true_only(X1,X0)
| ~ sP1(X2,X0)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f45,f66]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ sP1(X2,X0)
| ~ g_true_only(X1,X0)
| ~ g_true_only(X0,X1)
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f277,f67]) ).
fof(f284,plain,
! [X0] :
( g_true_only(X0,sK14(X0))
| ~ g_false_only(X0,sK11)
| ~ g_true_only(X0,sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f163,f148]) ).
fof(f285,plain,
! [X0] :
( g_true_only(X0,sK14(X0))
| ~ g_false_only(X0,sK11)
| ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f163,f130]) ).
fof(f286,plain,
! [X0] :
( g_true_only(X0,sK14(X0))
| ~ g_false_only(X0,sK11)
| ~ g_true_only(sK14(X0),sK11) ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f287,plain,
! [X0] :
( g_true_only(X0,sK14(X0))
| ~ g_false_only(X0,sK11)
| ~ g_true_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f288,plain,
! [X0] :
( ~ g_false_only(X0,sK11)
| ~ g_true_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f287,f183]) ).
fof(f293,plain,
! [X0] :
( ~ sP1(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f288,f49]) ).
fof(f294,plain,
! [X0] :
( ~ g_true_only(X0,sK11)
| ~ g_both(sK11,X0)
| g_false_only(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f288,f120]) ).
fof(f296,plain,
! [X0] :
( g_false_only(sK11,X0)
| ~ g_both(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f299,plain,
( ~ g_true_only(sK6(sK11),sK11)
| g_both(sK6(sK11),sK11)
| sP0(sK6(sK11))
| ~ sP2(sK11) ),
inference(resolution,[],[f293,f41]) ).
fof(f308,plain,
! [X0] :
( g_true_only(X0,sK13(X0))
| ~ g_both(X0,sK11)
| ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f164,f127]) ).
fof(f309,plain,
! [X0] :
( g_true_only(X0,sK13(X0))
| ~ g_both(X0,sK11)
| ~ g_true_only(sK13(X0),sK11) ),
inference(duplicate_literal_removal,[],[f308]) ).
fof(f316,plain,
! [X0] :
( g_true_only(sK13(sK11),sK11)
| ~ g_both(sK11,sK11)
| ~ g_true_only(sK13(sK11),X0)
| ~ g_true_only(X0,sK13(sK11)) ),
inference(resolution,[],[f165,f68]) ).
fof(f318,plain,
! [X0] :
( ~ g_true_only(sK13(sK11),X0)
| ~ g_both(sK11,sK11)
| ~ g_true_only(X0,sK13(sK11)) ),
inference(forward_subsumption_resolution,[],[f316,f71]) ).
fof(f331,plain,
! [X0] :
( ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11)
| g_true_only(sK13(X0),X0)
| ~ g_both(X0,sK11) ),
inference(resolution,[],[f146,f165]) ).
fof(f333,plain,
! [X0] :
( g_true_only(sK13(X0),X0)
| ~ g_both(X0,sK11)
| ~ g_true_only(sK13(X0),sK11) ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f334,plain,
! [X0] :
( ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11)
| g_true_only(sK14(X0),X0)
| ~ g_false_only(X0,sK11) ),
inference(resolution,[],[f147,f162]) ).
fof(f336,plain,
! [X0] :
( g_true_only(sK14(X0),X0)
| ~ g_false_only(X0,sK11)
| ~ g_true_only(sK14(X0),sK11) ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f385,plain,
! [X0,X1] :
( g_both(sK6(X1),X1)
| ~ g_true_only(sK6(X1),X0)
| ~ g_false_only(sK6(X1),sK11)
| ~ g_true_only(X0,sK6(X1))
| g_true_only(sK6(X1),X1)
| ~ sP2(X1) ),
inference(resolution,[],[f278,f44]) ).
fof(f387,plain,
! [X0] :
( ~ g_false_only(sK9(X0),X0)
| ~ sP0(X0)
| ~ g_true_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f194,f53]) ).
fof(f390,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| g_both(sK9(X0),X0)
| g_true_only(sK9(X0),X0) ),
inference(resolution,[],[f387,f76]) ).
fof(f391,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| g_false_only(X0,sK9(X0))
| ~ g_both(X0,sK9(X0))
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f387,f140]) ).
fof(f397,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| g_false_only(X0,sK9(X0))
| ~ g_both(X0,sK9(X0)) ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f398,plain,
! [X0] :
( ~ g_false_only(X0,sK9(X0))
| ~ sP0(X0)
| ~ g_true_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f203,f55]) ).
fof(f401,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| g_both(X0,sK9(X0))
| g_true_only(X0,sK9(X0)) ),
inference(resolution,[],[f398,f76]) ).
fof(f404,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| ~ g_both(sK9(X0),X0)
| g_false_only(sK9(X0),X0)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f398,f120]) ).
fof(f406,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| ~ g_both(sK9(X0),X0)
| g_false_only(sK9(X0),X0) ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f407,plain,
! [X0] :
( ~ g_both(sK9(X0),X0)
| ~ g_true_only(X0,sK11)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f406,f387]) ).
fof(f455,plain,
! [X0,X1] :
( ~ g_both(sK11,sK11)
| ~ g_true_only(sK16(sK13(sK11)),sK13(sK11))
| ~ g_both(sK13(sK11),X0)
| g_false_only(sK13(sK11),X0)
| g_false_only(X0,sK13(sK11))
| ~ g_both(sK13(sK11),X1)
| sP2(X1)
| sP3 ),
inference(resolution,[],[f318,f61]) ).
fof(f460,plain,
! [X0,X1] :
( ~ g_both(sK11,sK11)
| ~ g_both(sK13(sK11),X0)
| g_false_only(sK13(sK11),X0)
| g_false_only(X0,sK13(sK11))
| ~ g_both(sK13(sK11),X1)
| sP2(X1)
| sP3 ),
inference(forward_subsumption_resolution,[],[f455,f60]) ).
fof(f470,plain,
! [X0,X1] :
( ~ g_both(sK11,sK11)
| ~ g_both(sK13(sK11),X0)
| g_false_only(sK13(sK11),X0)
| g_false_only(X0,sK13(sK11))
| ~ g_both(sK13(sK11),X1)
| sP2(X1) ),
inference(forward_subsumption_resolution,[],[f460,f230]) ).
fof(f473,plain,
! [X0] :
( ~ g_false_only(X0,sK11)
| ~ g_true_only(sK14(X0),sK11)
| ~ g_true_only(sK14(X0),X0)
| ~ g_true_only(sK14(X0),sK11) ),
inference(resolution,[],[f286,f71]) ).
fof(f478,plain,
! [X0] :
( ~ g_false_only(X0,sK11)
| ~ g_true_only(sK14(X0),sK11)
| ~ g_true_only(sK14(X0),X0) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f482,plain,
! [X0] :
( ~ g_both(X0,sK11)
| ~ g_true_only(sK13(X0),sK11)
| ~ g_true_only(sK13(X0),X0)
| ~ g_true_only(sK13(X0),sK11) ),
inference(resolution,[],[f309,f71]) ).
fof(f487,plain,
! [X0] :
( ~ g_both(X0,sK11)
| ~ g_true_only(sK13(X0),sK11)
| ~ g_true_only(sK13(X0),X0) ),
inference(duplicate_literal_removal,[],[f482]) ).
fof(f514,plain,
! [X0] :
( ~ g_true_only(sK14(X0),sK11)
| ~ g_false_only(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f478,f336]) ).
fof(f523,plain,
! [X0] :
( ~ g_true_only(sK13(X0),sK11)
| ~ g_both(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f487,f333]) ).
fof(f597,plain,
! [X0] :
( ~ g_both(sK11,X0)
| ~ g_both(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f138,f296]) ).
fof(f600,plain,
! [X0] :
( ~ g_both(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f606,plain,
! [X0] :
( ~ g_false(sK11,X0)
| ~ g_true(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f600,f82]) ).
fof(f697,plain,
! [X0] :
( ~ g_true(sK11,X0)
| ~ g_true_only(X0,sK11)
| ~ g_true(sK11,X0)
| g_true_only(sK11,X0) ),
inference(resolution,[],[f606,f79]) ).
fof(f700,plain,
! [X0] :
( g_true_only(sK11,X0)
| ~ g_true_only(X0,sK11)
| ~ g_true(sK11,X0) ),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f717,plain,
! [X0] :
( ~ g_true_only(X0,sK11)
| ~ g_true(sK11,X0)
| ~ g_true_only(X0,sK11)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f700,f71]) ).
fof(f721,plain,
! [X0] :
( ~ g_true(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f717]) ).
fof(f728,plain,
! [X0] :
( ~ g_true_only(sK11,X0)
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f721,f78]) ).
fof(f743,plain,
! [X0] :
( ~ g_true_only(sK15(sK11),sK11)
| ~ g_both(X0,sK11)
| g_false_only(sK11,X0)
| g_false_only(X0,sK11)
| ~ g_false_only(sK11,sK11) ),
inference(resolution,[],[f728,f63]) ).
fof(f750,plain,
! [X0] :
( ~ g_both(X0,sK11)
| g_false_only(sK11,X0)
| g_false_only(X0,sK11)
| ~ g_false_only(sK11,sK11) ),
inference(forward_subsumption_resolution,[],[f743,f62]) ).
fof(f754,plain,
! [X0] :
( g_false_only(sK11,X0)
| ~ g_both(X0,sK11)
| ~ g_false_only(sK11,sK11) ),
inference(forward_subsumption_resolution,[],[f750,f138]) ).
fof(f755,plain,
! [X0] :
( g_true_only(sK9(X0),X0)
| ~ g_true_only(X0,sK11)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f390,f407]) ).
fof(f756,plain,
! [X0] :
( ~ g_true_only(X0,sK11)
| ~ sP0(X0)
| ~ g_true_only(X0,sK9(X0))
| ~ g_true_only(X0,sK11) ),
inference(resolution,[],[f755,f71]) ).
fof(f758,plain,
! [X0] :
( ~ g_true_only(X0,sK9(X0))
| ~ sP0(X0)
| ~ g_true_only(X0,sK11) ),
inference(duplicate_literal_removal,[],[f756]) ).
fof(f759,plain,
! [X0] :
( ~ g_both(X0,sK9(X0))
| ~ g_true_only(X0,sK11)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f397,f138]) ).
fof(f766,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_true_only(X0,sK11)
| g_true_only(X0,sK9(X0)) ),
inference(forward_subsumption_resolution,[],[f401,f759]) ).
fof(f767,plain,
! [X0] :
( ~ g_true_only(X0,sK11)
| ~ sP0(X0) ),
inference(forward_subsumption_resolution,[],[f766,f758]) ).
fof(f854,plain,
( ~ g_both(sK14(sK11),sK11)
| ~ g_false_only(sK11,sK11)
| ~ g_false_only(sK11,sK11) ),
inference(resolution,[],[f754,f67]) ).
fof(f855,plain,
( ~ g_both(sK14(sK11),sK11)
| ~ g_false_only(sK11,sK11) ),
inference(duplicate_literal_removal,[],[f854]) ).
fof(f856,plain,
( ~ g_false_only(sK11,sK11)
| g_true_only(sK14(sK11),sK11)
| ~ g_false_only(sK11,sK11) ),
inference(resolution,[],[f855,f162]) ).
fof(f858,plain,
( ~ g_false_only(sK11,sK11)
| g_true_only(sK14(sK11),sK11) ),
inference(duplicate_literal_removal,[],[f856]) ).
fof(f859,plain,
~ g_false_only(sK11,sK11),
inference(forward_subsumption_resolution,[],[f858,f514]) ).
fof(f867,plain,
( g_both(sK11,sK11)
| g_true_only(sK11,sK11) ),
inference(resolution,[],[f859,f76]) ).
fof(f871,plain,
g_both(sK11,sK11),
inference(forward_subsumption_resolution,[],[f867,f88]) ).
fof(f1108,plain,
( ~ g_true_only(sK6(sK11),sK11)
| sP0(sK6(sK11))
| ~ sP2(sK11) ),
inference(forward_subsumption_resolution,[],[f299,f137]) ).
fof(f1109,plain,
( ~ g_true_only(sK6(sK11),sK11)
| ~ sP2(sK11) ),
inference(forward_subsumption_resolution,[],[f1108,f767]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ g_true_only(sK6(sK11),X0)
| ~ g_false_only(sK6(sK11),sK11)
| ~ g_true_only(X0,sK6(sK11))
| g_true_only(sK6(sK11),sK11)
| ~ sP2(sK11)
| ~ g_true_only(sK6(sK11),X1)
| ~ g_true_only(X1,sK6(sK11)) ),
inference(resolution,[],[f385,f68]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ g_true_only(sK6(sK11),X0)
| ~ g_false_only(sK6(sK11),sK11)
| ~ g_true_only(X0,sK6(sK11))
| ~ sP2(sK11)
| ~ g_true_only(sK6(sK11),X1)
| ~ g_true_only(X1,sK6(sK11)) ),
inference(forward_subsumption_resolution,[],[f1163,f139]) ).
fof(f1852,plain,
! [X0,X1] :
( ~ g_both(sK13(sK11),X0)
| g_false_only(sK13(sK11),X0)
| g_false_only(X0,sK13(sK11))
| ~ g_both(sK13(sK11),X1)
| sP2(X1) ),
inference(forward_subsumption_resolution,[],[f470,f871]) ).
fof(f1853,plain,
! [X0,X1] :
( g_false_only(X0,sK13(sK11))
| ~ g_both(sK13(sK11),X0)
| ~ g_both(sK13(sK11),X1)
| sP2(X1) ),
inference(forward_subsumption_resolution,[],[f1852,f138]) ).
fof(f1857,plain,
! [X0] :
( ~ g_both(sK13(sK11),sK11)
| ~ g_both(sK13(sK11),X0)
| sP2(X0)
| ~ g_both(sK11,sK11) ),
inference(resolution,[],[f1853,f70]) ).
fof(f1867,plain,
! [X0] :
( ~ g_both(sK13(sK11),sK11)
| ~ g_both(sK13(sK11),X0)
| sP2(X0) ),
inference(forward_subsumption_resolution,[],[f1857,f871]) ).
fof(f1886,plain,
( ~ g_both(sK13(sK11),sK11)
| sP2(sK11) ),
inference(factoring,[],[f1867]) ).
fof(f1889,plain,
( sP2(sK11)
| g_true_only(sK13(sK11),sK11)
| ~ g_both(sK11,sK11) ),
inference(resolution,[],[f1886,f165]) ).
fof(f1891,plain,
( sP2(sK11)
| ~ g_both(sK11,sK11) ),
inference(forward_subsumption_resolution,[],[f1889,f523]) ).
fof(f1892,plain,
sP2(sK11),
inference(forward_subsumption_resolution,[],[f1891,f871]) ).
fof(f2052,plain,
! [X0,X1] :
( ~ g_false_only(sK6(sK11),sK11)
| ~ g_true_only(sK6(sK11),X0)
| ~ g_true_only(X0,sK6(sK11))
| ~ g_true_only(sK6(sK11),X1)
| ~ g_true_only(X1,sK6(sK11)) ),
inference(forward_subsumption_resolution,[],[f1164,f1892]) ).
fof(f2098,plain,
! [X0,X1] :
( ~ g_true_only(sK6(sK11),X0)
| ~ g_true_only(X0,sK6(sK11))
| ~ g_true_only(sK6(sK11),X1)
| ~ g_true_only(X1,sK6(sK11))
| g_both(sK6(sK11),sK11)
| g_true_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2052,f76]) ).
fof(f2107,plain,
! [X0,X1] :
( ~ g_true_only(sK6(sK11),X0)
| ~ g_true_only(X0,sK6(sK11))
| ~ g_true_only(sK6(sK11),X1)
| ~ g_true_only(X1,sK6(sK11))
| g_true_only(sK6(sK11),sK11) ),
inference(forward_subsumption_resolution,[],[f2098,f68]) ).
fof(f2109,plain,
! [X0,X1] :
( ~ g_true_only(sK6(sK11),X1)
| ~ g_true_only(X0,sK6(sK11))
| ~ g_true_only(sK6(sK11),X0)
| ~ g_true_only(X1,sK6(sK11)) ),
inference(forward_subsumption_resolution,[],[f2107,f71]) ).
fof(f2457,plain,
! [X0] :
( ~ g_true_only(sK6(sK11),X0)
| ~ g_true_only(X0,sK6(sK11))
| ~ g_true_only(X0,sK6(sK11)) ),
inference(factoring,[],[f2109]) ).
fof(f2459,plain,
! [X0] :
( ~ g_true_only(sK6(sK11),X0)
| ~ g_true_only(X0,sK6(sK11)) ),
inference(duplicate_literal_removal,[],[f2457]) ).
fof(f2489,plain,
! [X0] :
( ~ g_true_only(sK7(sK11),sK6(sK11))
| g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| g_true_only(sK6(sK11),sK11)
| sP1(sK11,sK6(sK11))
| ~ sP2(sK11) ),
inference(resolution,[],[f2459,f43]) ).
fof(f2505,plain,
! [X0] :
( ~ g_true_only(sK15(sK6(sK11)),sK6(sK11))
| ~ g_both(sK6(sK11),X0)
| g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2459,f65]) ).
fof(f2506,plain,
! [X0] :
( ~ g_true_only(sK15(sK6(sK11)),sK6(sK11))
| ~ g_both(X0,sK6(sK11))
| g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2459,f63]) ).
fof(f2512,plain,
! [X0] :
( ~ g_both(X0,sK6(sK11))
| g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(forward_subsumption_resolution,[],[f2506,f62]) ).
fof(f2513,plain,
! [X0] :
( ~ g_both(sK6(sK11),X0)
| g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(forward_subsumption_resolution,[],[f2505,f64]) ).
fof(f2523,plain,
! [X0] :
( g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| g_true_only(sK6(sK11),sK11)
| sP1(sK11,sK6(sK11))
| ~ sP2(sK11) ),
inference(forward_subsumption_resolution,[],[f2489,f42]) ).
fof(f2526,plain,
! [X0] :
( g_false_only(sK6(sK11),X0)
| ~ g_both(X0,sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(forward_subsumption_resolution,[],[f2512,f138]) ).
fof(f2527,plain,
! [X0] :
( g_false_only(X0,sK6(sK11))
| ~ g_both(sK6(sK11),X0)
| ~ g_false_only(sK6(sK11),sK11) ),
inference(forward_subsumption_resolution,[],[f2513,f138]) ).
fof(f2529,plain,
! [X0] :
( g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| sP1(sK11,sK6(sK11))
| ~ sP2(sK11) ),
inference(forward_subsumption_resolution,[],[f2523,f1109]) ).
fof(f2532,plain,
! [X0] :
( g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11))
| sP1(sK11,sK6(sK11)) ),
inference(forward_subsumption_resolution,[],[f2529,f1892]) ).
fof(f2595,plain,
( ~ g_both(sK14(sK6(sK11)),sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11)
| ~ g_false_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2526,f67]) ).
fof(f2596,plain,
( ~ g_both(sK14(sK6(sK11)),sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(duplicate_literal_removal,[],[f2595]) ).
fof(f2598,plain,
( ~ g_false_only(sK6(sK11),sK11)
| g_true_only(sK14(sK6(sK11)),sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2596,f162]) ).
fof(f2600,plain,
( g_true_only(sK14(sK6(sK11)),sK6(sK11))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(duplicate_literal_removal,[],[f2598]) ).
fof(f2617,plain,
( ~ g_both(sK6(sK11),sK14(sK6(sK11)))
| ~ g_false_only(sK6(sK11),sK11)
| ~ g_false_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2527,f66]) ).
fof(f2618,plain,
( ~ g_both(sK6(sK11),sK14(sK6(sK11)))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(duplicate_literal_removal,[],[f2617]) ).
fof(f2619,plain,
( ~ g_false_only(sK6(sK11),sK11)
| g_true_only(sK6(sK11),sK14(sK6(sK11)))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(resolution,[],[f2618,f163]) ).
fof(f2621,plain,
( g_true_only(sK6(sK11),sK14(sK6(sK11)))
| ~ g_false_only(sK6(sK11),sK11) ),
inference(duplicate_literal_removal,[],[f2619]) ).
fof(f2622,plain,
( ~ g_false_only(sK6(sK11),sK11)
| ~ g_true_only(sK14(sK6(sK11)),sK6(sK11)) ),
inference(resolution,[],[f2621,f2459]) ).
fof(f2629,plain,
~ g_false_only(sK6(sK11),sK11),
inference(forward_subsumption_resolution,[],[f2622,f2600]) ).
fof(f2644,plain,
~ sP1(sK11,sK6(sK11)),
inference(resolution,[],[f2629,f49]) ).
fof(f2661,plain,
( g_both(sK6(sK11),sK11)
| g_true_only(sK6(sK11),sK11)
| ~ sP2(sK11) ),
inference(resolution,[],[f2644,f44]) ).
fof(f2664,plain,
( g_both(sK6(sK11),sK11)
| ~ sP2(sK11) ),
inference(forward_subsumption_resolution,[],[f2661,f1109]) ).
fof(f2668,plain,
g_both(sK6(sK11),sK11),
inference(forward_subsumption_resolution,[],[f2664,f1892]) ).
fof(f2737,plain,
! [X0] :
( g_false_only(sK6(sK11),X0)
| g_false_only(X0,sK6(sK11)) ),
inference(forward_subsumption_resolution,[],[f2532,f2644]) ).
fof(f2752,plain,
( g_false_only(sK13(sK6(sK11)),sK6(sK11))
| ~ g_both(sK6(sK11),sK11) ),
inference(resolution,[],[f2737,f70]) ).
fof(f2754,plain,
~ g_both(sK6(sK11),sK11),
inference(forward_subsumption_resolution,[],[f2752,f69]) ).
fof(f2758,plain,
$false,
inference(forward_subsumption_resolution,[],[f2754,f2668]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO604+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n017.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 17:49:51 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running first-order theorem proving
% 0.08/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.68/1.57 % (3824986)Detected formulas, will run a generic FOF schedule.
% 4.68/1.57 % (3824998)dis-21_1_sil=8000:lcm=predicate:random_seed=4089668462:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.68/1.57 % (3824994)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=142959018:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.68/1.57 % (3824996)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1753155068:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.68/1.57 % (3824995)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4260059951:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.68/1.57 % (3824993)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2858770935:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.68/1.57 % (3824992)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=622568846:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.68/1.57 % (3824997)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2752946767:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.68/1.57 % (3824996)First to succeed.
% 4.68/1.57 % (3824996)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3824986"
% 4.68/1.57 % (3824995)Instruction limit reached!
% 4.68/1.57 % (3824995)------------------------------
% 4.68/1.57 % (3824995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.57 % (3824995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.57 % (3824995)CaDiCaL version: 2.1.3
% 4.68/1.57 % (3824995)Termination reason: Instruction limit
% 4.68/1.57 % (3824995)Termination phase: Saturation
% 4.68/1.57 % (3824995)Time elapsed: 0.095 s
% 4.68/1.57 % (3824995)Peak memory usage: 89 MB
% 4.68/1.57 % (3824995)Instructions burned: 110 (million)
% 4.68/1.57 % (3824998)Instruction limit reached!
% 4.68/1.57 % (3824998)------------------------------
% 4.68/1.57 % (3824998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.57 % (3824998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.57 % (3824998)CaDiCaL version: 2.1.3
% 4.68/1.57 % (3824998)Termination reason: Instruction limit
% 4.68/1.57 % (3824998)Termination phase: Saturation
% 4.68/1.57 % (3824998)Time elapsed: 0.118 s
% 4.68/1.57 % (3824998)Peak memory usage: 89 MB
% 4.68/1.57 % (3824998)Instructions burned: 130 (million)
% 4.68/1.57 % (3824997)Instruction limit reached!
% 4.68/1.57 % (3824997)------------------------------
% 4.68/1.57 % (3824997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.57 % (3824997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.57 % (3824997)CaDiCaL version: 2.1.3
% 4.68/1.57 % (3824997)Termination reason: Instruction limit
% 4.68/1.57 % (3824997)Termination phase: Saturation
% 4.68/1.57 % (3824997)Time elapsed: 0.135 s
% 4.68/1.57 % (3824997)Peak memory usage: 89 MB
% 4.68/1.57 % (3824997)Instructions burned: 139 (million)
% 4.68/1.57 % (3825006)lrs+10_1_sil=8000:sp=occurrence:random_seed=1784010337:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.68/1.57 % (3825007)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3646713878:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.68/1.57 % (3825007)Refutation not found, incomplete strategy
% 4.68/1.57 % (3825007)------------------------------
% 4.68/1.57 % (3825007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.57 % (3825007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.57 % (3825007)CaDiCaL version: 2.1.3
% 4.68/1.57 % (3825007)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.57 % (3825007)Time elapsed: 0.004 s
% 4.68/1.57 % (3825007)Peak memory usage: 88 MB
% 4.68/1.57 % (3825007)Instructions burned: 4 (million)
% 4.68/1.57 % (3825006)Instruction limit reached!
% 4.68/1.57 % (3825006)------------------------------
% 4.68/1.57 % (3825006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.57 % (3825006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.57 % (3825006)CaDiCaL version: 2.1.3
% 4.68/1.57 % (3825006)Termination reason: Instruction limit
% 4.68/1.57 % (3825006)Termination phase: Saturation
% 4.68/1.57 % (3825006)Time elapsed: 0.128 s
% 4.68/1.57 % (3825006)Peak memory usage: 90 MB
% 4.68/1.57 % (3825006)Instructions burned: 285 (million)
% 4.68/1.57 % (3825008)lrs+1011_1_sil=32000:sp=occurrence:random_seed=530548141:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.68/1.57 % (3824996)Refutation found. Thanks to Tanya!
% 4.68/1.57 % SZS status Theorem for theBenchmark
% 4.68/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.84/1.79 % (3824996)------------------------------
% 5.84/1.79 % (3824996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.79 % (3824996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.79 % (3824996)CaDiCaL version: 2.1.3
% 5.84/1.79 % (3824996)Termination reason: Refutation
% 5.84/1.79 % (3824996)Time elapsed: 0.092 s
% 5.84/1.79 % (3824996)Peak memory usage: 88 MB
% 5.84/1.79 % (3824996)Instructions burned: 104 (million)
% 5.84/1.79 % (3824996)------------------------------
% 5.84/1.79 % (3824996)------------------------------
% 5.84/1.79 % (3824986)Success in time 0.709 s
% 5.84/1.79 % Vampire exiting
%------------------------------------------------------------------------------