TSTP Solution File: SYO604+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYO604+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 : Mon Jun 24 21:05:51 EDT 2024
% Result : Theorem 1.40s 0.58s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 65
% Syntax : Number of formulae : 369 ( 1 unt; 0 def)
% Number of atoms : 1767 ( 0 equ)
% Maximal formula atoms : 59 ( 4 avg)
% Number of connectives : 2143 ( 745 ~;1029 |; 307 &)
% ( 49 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 53 ( 52 usr; 45 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-1 aty)
% Number of variables : 504 ( 375 !; 129 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2744,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f122,f126,f138,f146,f346,f348,f376,f381,f391,f392,f403,f424,f603,f607,f612,f613,f685,f728,f740,f772,f814,f900,f952,f972,f983,f1038,f1054,f1056,f1186,f1190,f1195,f1196,f1199,f1258,f2011,f2029,f2180,f2190,f2250,f2267,f2299,f2309,f2346,f2405,f2429,f2430,f2435,f2572,f2643,f2649,f2656,f2689,f2743]) ).
fof(f2743,plain,
( ~ spl17_15
| ~ spl17_176
| spl17_182 ),
inference(avatar_contradiction_clause,[],[f2742]) ).
fof(f2742,plain,
( $false
| ~ spl17_15
| ~ spl17_176
| spl17_182 ),
inference(subsumption_resolution,[],[f2741,f2409]) ).
fof(f2409,plain,
( g_both(sK6(sK12),sK12)
| ~ spl17_176 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2408,plain,
( spl17_176
<=> g_both(sK6(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_176])]) ).
fof(f2741,plain,
( ~ g_both(sK6(sK12),sK12)
| ~ spl17_15
| spl17_182 ),
inference(subsumption_resolution,[],[f2737,f2484]) ).
fof(f2484,plain,
( ~ g_false_only(sK6(sK12),sK15(sK6(sK12)))
| spl17_182 ),
inference(avatar_component_clause,[],[f2483]) ).
fof(f2483,plain,
( spl17_182
<=> g_false_only(sK6(sK12),sK15(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_182])]) ).
fof(f2737,plain,
( g_false_only(sK6(sK12),sK15(sK6(sK12)))
| ~ g_both(sK6(sK12),sK12)
| ~ spl17_15 ),
inference(resolution,[],[f224,f81]) ).
fof(f81,plain,
! [X5] :
( ~ g_false_only(sK15(X5),X5)
| ~ g_both(X5,sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( sP3
| ! [X0] :
( sP2(X0)
| ! [X1] :
( ( g_true_only(sK11(X1),X1)
& g_true_only(X1,sK11(X1)) )
| ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3)
| ( ~ g_both(X3,X1)
& ~ g_both(X1,X3) ) )
| ~ g_both(X1,X0) ) ) )
& ! [X5] :
( ( ( ( ( g_true_only(sK13(X5),X5)
& g_true_only(X5,sK13(X5)) )
| ! [X7] :
( g_false_only(X7,X5)
| g_false_only(X5,X7)
| ( ~ g_both(X7,X5)
& ~ g_both(X5,X7) ) ) )
& ~ g_false_only(sK14(X5),X5)
& ~ g_false_only(X5,sK14(X5)) )
| ~ g_false_only(X5,sK12) )
& ( ( ! [X9] :
( ~ g_true_only(X9,X5)
| ~ g_true_only(X5,X9) )
& ~ g_false_only(sK15(X5),X5)
& ~ g_false_only(X5,sK15(X5)) )
| ~ g_both(X5,sK12) )
& ( ( ! [X11] :
( ~ g_true_only(X11,X5)
| ~ g_true_only(X5,X11) )
& ( ( g_true_only(sK16(X5),X5)
& g_true_only(X5,sK16(X5)) )
| ! [X13] :
( g_false_only(X13,X5)
| g_false_only(X5,X13)
| ( ~ g_both(X13,X5)
& ~ g_both(X5,X13) ) ) ) )
| ~ g_true_only(X5,sK12) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16])],[f36,f42,f41,f40,f39,f38,f37]) ).
fof(f37,plain,
! [X1] :
( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
=> ( g_true_only(sK11(X1),X1)
& g_true_only(X1,sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X4] :
! [X5] :
( ( ( ( ? [X6] :
( g_true_only(X6,X5)
& g_true_only(X5,X6) )
| ! [X7] :
( g_false_only(X7,X5)
| g_false_only(X5,X7)
| ( ~ g_both(X7,X5)
& ~ g_both(X5,X7) ) ) )
& ? [X8] :
( ~ g_false_only(X8,X5)
& ~ g_false_only(X5,X8) ) )
| ~ g_false_only(X5,X4) )
& ( ( ! [X9] :
( ~ g_true_only(X9,X5)
| ~ g_true_only(X5,X9) )
& ? [X10] :
( ~ g_false_only(X10,X5)
& ~ g_false_only(X5,X10) ) )
| ~ g_both(X5,X4) )
& ( ( ! [X11] :
( ~ g_true_only(X11,X5)
| ~ g_true_only(X5,X11) )
& ( ? [X12] :
( g_true_only(X12,X5)
& g_true_only(X5,X12) )
| ! [X13] :
( g_false_only(X13,X5)
| g_false_only(X5,X13)
| ( ~ g_both(X13,X5)
& ~ g_both(X5,X13) ) ) ) )
| ~ g_true_only(X5,X4) ) )
=> ! [X5] :
( ( ( ( ? [X6] :
( g_true_only(X6,X5)
& g_true_only(X5,X6) )
| ! [X7] :
( g_false_only(X7,X5)
| g_false_only(X5,X7)
| ( ~ g_both(X7,X5)
& ~ g_both(X5,X7) ) ) )
& ? [X8] :
( ~ g_false_only(X8,X5)
& ~ g_false_only(X5,X8) ) )
| ~ g_false_only(X5,sK12) )
& ( ( ! [X9] :
( ~ g_true_only(X9,X5)
| ~ g_true_only(X5,X9) )
& ? [X10] :
( ~ g_false_only(X10,X5)
& ~ g_false_only(X5,X10) ) )
| ~ g_both(X5,sK12) )
& ( ( ! [X11] :
( ~ g_true_only(X11,X5)
| ~ g_true_only(X5,X11) )
& ( ? [X12] :
( g_true_only(X12,X5)
& g_true_only(X5,X12) )
| ! [X13] :
( g_false_only(X13,X5)
| g_false_only(X5,X13)
| ( ~ g_both(X13,X5)
& ~ g_both(X5,X13) ) ) ) )
| ~ g_true_only(X5,sK12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X5] :
( ? [X6] :
( g_true_only(X6,X5)
& g_true_only(X5,X6) )
=> ( g_true_only(sK13(X5),X5)
& g_true_only(X5,sK13(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X5] :
( ? [X8] :
( ~ g_false_only(X8,X5)
& ~ g_false_only(X5,X8) )
=> ( ~ g_false_only(sK14(X5),X5)
& ~ g_false_only(X5,sK14(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X5] :
( ? [X10] :
( ~ g_false_only(X10,X5)
& ~ g_false_only(X5,X10) )
=> ( ~ g_false_only(sK15(X5),X5)
& ~ g_false_only(X5,sK15(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X5] :
( ? [X12] :
( g_true_only(X12,X5)
& g_true_only(X5,X12) )
=> ( g_true_only(sK16(X5),X5)
& g_true_only(X5,sK16(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ( sP3
| ! [X0] :
( sP2(X0)
| ! [X1] :
( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3)
| ( ~ g_both(X3,X1)
& ~ g_both(X1,X3) ) )
| ~ g_both(X1,X0) ) ) )
& ? [X4] :
! [X5] :
( ( ( ( ? [X6] :
( g_true_only(X6,X5)
& g_true_only(X5,X6) )
| ! [X7] :
( g_false_only(X7,X5)
| g_false_only(X5,X7)
| ( ~ g_both(X7,X5)
& ~ g_both(X5,X7) ) ) )
& ? [X8] :
( ~ g_false_only(X8,X5)
& ~ g_false_only(X5,X8) ) )
| ~ g_false_only(X5,X4) )
& ( ( ! [X9] :
( ~ g_true_only(X9,X5)
| ~ g_true_only(X5,X9) )
& ? [X10] :
( ~ g_false_only(X10,X5)
& ~ g_false_only(X5,X10) ) )
| ~ g_both(X5,X4) )
& ( ( ! [X11] :
( ~ g_true_only(X11,X5)
| ~ g_true_only(X5,X11) )
& ( ? [X12] :
( g_true_only(X12,X5)
& g_true_only(X5,X12) )
| ! [X13] :
( g_false_only(X13,X5)
| g_false_only(X5,X13)
| ( ~ g_both(X13,X5)
& ~ g_both(X5,X13) ) ) ) )
| ~ g_true_only(X5,X4) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
( ( sP3
| ! [X4] :
( sP2(X4)
| ! [X14] :
( ? [X15] :
( g_true_only(X15,X14)
& g_true_only(X14,X15) )
| ! [X16] :
( g_false_only(X16,X14)
| g_false_only(X14,X16)
| ( ~ g_both(X16,X14)
& ~ g_both(X14,X16) ) )
| ~ g_both(X14,X4) ) ) )
& ? [X17] :
! [X18] :
( ( ( ( ? [X19] :
( g_true_only(X19,X18)
& g_true_only(X18,X19) )
| ! [X20] :
( g_false_only(X20,X18)
| g_false_only(X18,X20)
| ( ~ g_both(X20,X18)
& ~ g_both(X18,X20) ) ) )
& ? [X21] :
( ~ g_false_only(X21,X18)
& ~ g_false_only(X18,X21) ) )
| ~ g_false_only(X18,X17) )
& ( ( ! [X22] :
( ~ g_true_only(X22,X18)
| ~ g_true_only(X18,X22) )
& ? [X23] :
( ~ g_false_only(X23,X18)
& ~ g_false_only(X18,X23) ) )
| ~ g_both(X18,X17) )
& ( ( ! [X24] :
( ~ g_true_only(X24,X18)
| ~ g_true_only(X18,X24) )
& ( ? [X25] :
( g_true_only(X25,X18)
& g_true_only(X18,X25) )
| ! [X26] :
( g_false_only(X26,X18)
| g_false_only(X18,X26)
| ( ~ g_both(X26,X18)
& ~ g_both(X18,X26) ) ) ) )
| ~ g_true_only(X18,X17) ) ) ),
inference(definition_folding,[],[f12,f16,f15,f14,f13]) ).
fof(f13,plain,
! [X5] :
( ? [X11] :
( g_true_only(X11,X5)
& g_true_only(X5,X11) )
| ( ! [X12] :
( ~ g_true_only(X12,X5)
| ~ g_true_only(X5,X12) )
& ? [X13] :
( ~ g_false_only(X13,X5)
& ~ g_false_only(X5,X13)
& ( g_both(X13,X5)
| g_both(X5,X13) ) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14,plain,
! [X5,X4] :
( ( ( ( ! [X6] :
( ~ g_true_only(X6,X5)
| ~ g_true_only(X5,X6) )
& ? [X7] :
( ~ g_false_only(X7,X5)
& ~ g_false_only(X5,X7)
& ( g_both(X7,X5)
| g_both(X5,X7) ) ) )
| ! [X8] :
( g_false_only(X8,X5)
| g_false_only(X5,X8) ) )
& g_false_only(X5,X4) )
| ~ sP1(X5,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f15,plain,
! [X4] :
( ? [X5] :
( sP1(X5,X4)
| ( ( ? [X9] :
( g_true_only(X9,X5)
& g_true_only(X5,X9) )
| ! [X10] :
( g_false_only(X10,X5)
| g_false_only(X5,X10) ) )
& g_both(X5,X4) )
| ( sP0(X5)
& g_true_only(X5,X4) ) )
| ~ sP2(X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f16,plain,
( ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,X0) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
( ( ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,X0) ) )
| ! [X4] :
( ? [X5] :
( ( ( ( ! [X6] :
( ~ g_true_only(X6,X5)
| ~ g_true_only(X5,X6) )
& ? [X7] :
( ~ g_false_only(X7,X5)
& ~ g_false_only(X5,X7)
& ( g_both(X7,X5)
| g_both(X5,X7) ) ) )
| ! [X8] :
( g_false_only(X8,X5)
| g_false_only(X5,X8) ) )
& g_false_only(X5,X4) )
| ( ( ? [X9] :
( g_true_only(X9,X5)
& g_true_only(X5,X9) )
| ! [X10] :
( g_false_only(X10,X5)
| g_false_only(X5,X10) ) )
& g_both(X5,X4) )
| ( ( ? [X11] :
( g_true_only(X11,X5)
& g_true_only(X5,X11) )
| ( ! [X12] :
( ~ g_true_only(X12,X5)
| ~ g_true_only(X5,X12) )
& ? [X13] :
( ~ g_false_only(X13,X5)
& ~ g_false_only(X5,X13)
& ( g_both(X13,X5)
| g_both(X5,X13) ) ) ) )
& g_true_only(X5,X4) ) )
| ! [X14] :
( ? [X15] :
( g_true_only(X15,X14)
& g_true_only(X14,X15) )
| ! [X16] :
( g_false_only(X16,X14)
| g_false_only(X14,X16)
| ( ~ g_both(X16,X14)
& ~ g_both(X14,X16) ) )
| ~ g_both(X14,X4) ) ) )
& ? [X17] :
! [X18] :
( ( ( ( ? [X19] :
( g_true_only(X19,X18)
& g_true_only(X18,X19) )
| ! [X20] :
( g_false_only(X20,X18)
| g_false_only(X18,X20)
| ( ~ g_both(X20,X18)
& ~ g_both(X18,X20) ) ) )
& ? [X21] :
( ~ g_false_only(X21,X18)
& ~ g_false_only(X18,X21) ) )
| ~ g_false_only(X18,X17) )
& ( ( ! [X22] :
( ~ g_true_only(X22,X18)
| ~ g_true_only(X18,X22) )
& ? [X23] :
( ~ g_false_only(X23,X18)
& ~ g_false_only(X18,X23) ) )
| ~ g_both(X18,X17) )
& ( ( ! [X24] :
( ~ g_true_only(X24,X18)
| ~ g_true_only(X18,X24) )
& ( ? [X25] :
( g_true_only(X25,X18)
& g_true_only(X18,X25) )
| ! [X26] :
( g_false_only(X26,X18)
| g_false_only(X18,X26)
| ( ~ g_both(X26,X18)
& ~ g_both(X18,X26) ) ) ) )
| ~ g_true_only(X18,X17) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ~ ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,X0) ) )
& ? [X4] :
( ~ ? [X5] :
( ( ( ( ~ ? [X6] :
( g_true_only(X6,X5)
& g_true_only(X5,X6) )
& ? [X7] :
( ~ g_false_only(X7,X5)
& ~ g_false_only(X5,X7)
& ( g_both(X7,X5)
| g_both(X5,X7) ) ) )
| ! [X8] :
( g_false_only(X8,X5)
| g_false_only(X5,X8) ) )
& g_false_only(X5,X4) )
| ( ( ? [X9] :
( g_true_only(X9,X5)
& g_true_only(X5,X9) )
| ! [X10] :
( g_false_only(X10,X5)
| g_false_only(X5,X10) ) )
& g_both(X5,X4) )
| ( ( ? [X11] :
( g_true_only(X11,X5)
& g_true_only(X5,X11) )
| ( ~ ? [X12] :
( g_true_only(X12,X5)
& g_true_only(X5,X12) )
& ? [X13] :
( ~ g_false_only(X13,X5)
& ~ g_false_only(X5,X13)
& ( g_both(X13,X5)
| g_both(X5,X13) ) ) ) )
& g_true_only(X5,X4) ) )
& ? [X14] :
( ~ ? [X15] :
( g_true_only(X15,X14)
& g_true_only(X14,X15) )
& ? [X16] :
( ~ g_false_only(X16,X14)
& ~ g_false_only(X14,X16)
& ( g_both(X16,X14)
| g_both(X14,X16) ) )
& g_both(X14,X4) ) ) )
| ! [X17] :
? [X18] :
( ( ( ( ~ ? [X19] :
( g_true_only(X19,X18)
& g_true_only(X18,X19) )
& ? [X20] :
( ~ g_false_only(X20,X18)
& ~ g_false_only(X18,X20)
& ( g_both(X20,X18)
| g_both(X18,X20) ) ) )
| ! [X21] :
( g_false_only(X21,X18)
| g_false_only(X18,X21) ) )
& g_false_only(X18,X17) )
| ( ( ? [X22] :
( g_true_only(X22,X18)
& g_true_only(X18,X22) )
| ! [X23] :
( g_false_only(X23,X18)
| g_false_only(X18,X23) ) )
& g_both(X18,X17) )
| ( ( ? [X24] :
( g_true_only(X24,X18)
& g_true_only(X18,X24) )
| ( ~ ? [X25] :
( g_true_only(X25,X18)
& g_true_only(X18,X25) )
& ? [X26] :
( ~ g_false_only(X26,X18)
& ~ g_false_only(X18,X26)
& ( g_both(X26,X18)
| g_both(X18,X26) ) ) ) )
& g_true_only(X18,X17) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) )
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_false_only(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_both(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) ) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) )
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_false_only(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_both(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) ) )
& g_true_only(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) )
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_false_only(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_both(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) ) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) )
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_false_only(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X2] :
( g_false_only(X2,X1)
| g_false_only(X1,X2) ) )
& g_both(X1,X0) )
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ( ~ ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& ? [X2] :
( ~ g_false_only(X2,X1)
& ~ g_false_only(X1,X2)
& ( g_both(X2,X1)
| g_both(X1,X2) ) ) ) )
& g_true_only(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f224,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0) )
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl17_15
<=> ! [X0] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f2689,plain,
( spl17_79
| ~ spl17_13
| ~ spl17_150
| spl17_176 ),
inference(avatar_split_clause,[],[f2688,f2408,f2005,f215,f1071]) ).
fof(f1071,plain,
( spl17_79
<=> g_true_only(sK6(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
fof(f215,plain,
( spl17_13
<=> sP2(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f2005,plain,
( spl17_150
<=> ! [X1] : ~ sP1(sK6(sK12),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_150])]) ).
fof(f2688,plain,
( g_true_only(sK6(sK12),sK12)
| ~ spl17_13
| ~ spl17_150
| spl17_176 ),
inference(subsumption_resolution,[],[f2687,f216]) ).
fof(f216,plain,
( sP2(sK12)
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f2687,plain,
( g_true_only(sK6(sK12),sK12)
| ~ sP2(sK12)
| ~ spl17_150
| spl17_176 ),
inference(subsumption_resolution,[],[f2353,f2410]) ).
fof(f2410,plain,
( ~ g_both(sK6(sK12),sK12)
| spl17_176 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2353,plain,
( g_both(sK6(sK12),sK12)
| g_true_only(sK6(sK12),sK12)
| ~ sP2(sK12)
| ~ spl17_150 ),
inference(resolution,[],[f2006,f56]) ).
fof(f56,plain,
! [X0] :
( sP1(sK6(X0),X0)
| g_both(sK6(X0),X0)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( sP1(sK6(X0),X0)
| ( ( ( g_true_only(sK7(X0),sK6(X0))
& g_true_only(sK6(X0),sK7(X0)) )
| ! [X3] :
( g_false_only(X3,sK6(X0))
| g_false_only(sK6(X0),X3) ) )
& g_both(sK6(X0),X0) )
| ( sP0(sK6(X0))
& g_true_only(sK6(X0),X0) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f23,f25,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( sP1(X1,X0)
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) ) )
& g_both(X1,X0) )
| ( sP0(X1)
& g_true_only(X1,X0) ) )
=> ( sP1(sK6(X0),X0)
| ( ( ? [X2] :
( g_true_only(X2,sK6(X0))
& g_true_only(sK6(X0),X2) )
| ! [X3] :
( g_false_only(X3,sK6(X0))
| g_false_only(sK6(X0),X3) ) )
& g_both(sK6(X0),X0) )
| ( sP0(sK6(X0))
& g_true_only(sK6(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ? [X2] :
( g_true_only(X2,sK6(X0))
& g_true_only(sK6(X0),X2) )
=> ( g_true_only(sK7(X0),sK6(X0))
& g_true_only(sK6(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( sP1(X1,X0)
| ( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
| ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) ) )
& g_both(X1,X0) )
| ( sP0(X1)
& g_true_only(X1,X0) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X4] :
( ? [X5] :
( sP1(X5,X4)
| ( ( ? [X9] :
( g_true_only(X9,X5)
& g_true_only(X5,X9) )
| ! [X10] :
( g_false_only(X10,X5)
| g_false_only(X5,X10) ) )
& g_both(X5,X4) )
| ( sP0(X5)
& g_true_only(X5,X4) ) )
| ~ sP2(X4) ),
inference(nnf_transformation,[],[f15]) ).
fof(f2006,plain,
( ! [X1] : ~ sP1(sK6(sK12),X1)
| ~ spl17_150 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f2656,plain,
( spl17_79
| spl17_23
| spl17_176 ),
inference(avatar_split_clause,[],[f2655,f2408,f352,f1071]) ).
fof(f352,plain,
( spl17_23
<=> g_false_only(sK6(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f2655,plain,
( g_true_only(sK6(sK12),sK12)
| spl17_23
| spl17_176 ),
inference(subsumption_resolution,[],[f2580,f353]) ).
fof(f353,plain,
( ~ g_false_only(sK6(sK12),sK12)
| spl17_23 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f2580,plain,
( g_false_only(sK6(sK12),sK12)
| g_true_only(sK6(sK12),sK12)
| spl17_176 ),
inference(resolution,[],[f2410,f96]) ).
fof(f96,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2649,plain,
( spl17_84
| ~ spl17_79 ),
inference(avatar_split_clause,[],[f2334,f1071,f1184]) ).
fof(f1184,plain,
( spl17_84
<=> ! [X0] :
( g_false_only(X0,sK6(sK12))
| ~ g_both(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
fof(f2334,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| ~ g_both(X0,sK6(sK12))
| g_false_only(X0,sK6(sK12)) )
| ~ spl17_79 ),
inference(resolution,[],[f1073,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ g_true_only(X0,sK12)
| g_false_only(X0,X1)
| ~ g_both(X1,X0)
| g_false_only(X1,X0) ),
inference(subsumption_resolution,[],[f165,f78]) ).
fof(f78,plain,
! [X5,X13] :
( ~ g_true_only(X5,sK12)
| g_false_only(X13,X5)
| g_false_only(X5,X13)
| ~ g_both(X13,X5)
| g_true_only(sK16(X5),X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f165,plain,
! [X0,X1] :
( ~ g_true_only(sK16(X0),X0)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X1,X0)
| ~ g_true_only(X0,sK12) ),
inference(subsumption_resolution,[],[f163,f93]) ).
fof(f93,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,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,[],[f44]) ).
fof(f44,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,[],[f8]) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f163,plain,
! [X0,X1] :
( ~ g_true(X0,sK12)
| ~ g_true_only(sK16(X0),X0)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X1,X0)
| ~ g_true_only(X0,sK12) ),
inference(resolution,[],[f162,f76]) ).
fof(f76,plain,
! [X5,X13] :
( g_true_only(X5,sK16(X5))
| g_false_only(X13,X5)
| g_false_only(X5,X13)
| ~ g_both(X13,X5)
| ~ g_true_only(X5,sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f162,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| ~ g_true(X0,sK12)
| ~ g_true_only(X1,X0) ),
inference(subsumption_resolution,[],[f160,f79]) ).
fof(f79,plain,
! [X11,X5] :
( ~ g_true_only(X5,sK12)
| ~ g_true_only(X5,X11)
| ~ g_true_only(X11,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f160,plain,
! [X0,X1] :
( ~ g_true(X0,sK12)
| g_true_only(X0,sK12)
| ~ g_true_only(X0,X1)
| ~ g_true_only(X1,X0) ),
inference(resolution,[],[f157,f82]) ).
fof(f82,plain,
! [X9,X5] :
( ~ g_both(X5,sK12)
| ~ g_true_only(X5,X9)
| ~ g_true_only(X9,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f157,plain,
! [X0,X1] :
( g_both(X0,X1)
| ~ g_true(X0,X1)
| g_true_only(X0,X1) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( g_both(X0,X1)
| ~ g_true(X0,X1)
| g_true_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(resolution,[],[f99,f95]) ).
fof(f95,plain,
! [X0,X1] :
( g_false(X0,X1)
| g_true_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| g_both(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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,[],[f46]) ).
fof(f46,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,[],[f10]) ).
fof(f10,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1073,plain,
( g_true_only(sK6(sK12),sK12)
| ~ spl17_79 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f2643,plain,
( ~ spl17_26
| spl17_27
| ~ spl17_84 ),
inference(avatar_contradiction_clause,[],[f2642]) ).
fof(f2642,plain,
( $false
| ~ spl17_26
| spl17_27
| ~ spl17_84 ),
inference(subsumption_resolution,[],[f2641,f380]) ).
fof(f380,plain,
( ~ g_false_only(sK6(sK12),sK10(sK6(sK12)))
| spl17_27 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl17_27
<=> g_false_only(sK6(sK12),sK10(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f2641,plain,
( g_false_only(sK6(sK12),sK10(sK6(sK12)))
| ~ spl17_26
| ~ spl17_84 ),
inference(resolution,[],[f2396,f375]) ).
fof(f375,plain,
( g_both(sK10(sK6(sK12)),sK6(sK12))
| ~ spl17_26 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl17_26
<=> g_both(sK10(sK6(sK12)),sK6(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f2396,plain,
( ! [X0] :
( ~ g_both(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0) )
| ~ spl17_84 ),
inference(subsumption_resolution,[],[f2389,f97]) ).
fof(f97,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f2389,plain,
( ! [X0] :
( ~ g_both(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_true(X0,sK6(sK12)) )
| ~ spl17_84 ),
inference(resolution,[],[f1185,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,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,[],[f48]) ).
fof(f48,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,[],[f11]) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1185,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| ~ g_both(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0) )
| ~ spl17_84 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f2572,plain,
( ~ spl17_176
| ~ spl17_182 ),
inference(avatar_split_clause,[],[f2569,f2483,f2408]) ).
fof(f2569,plain,
( ~ g_both(sK6(sK12),sK12)
| ~ spl17_182 ),
inference(resolution,[],[f2485,f80]) ).
fof(f80,plain,
! [X5] :
( ~ g_false_only(X5,sK15(X5))
| ~ g_both(X5,sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f2485,plain,
( g_false_only(sK6(sK12),sK15(sK6(sK12)))
| ~ spl17_182 ),
inference(avatar_component_clause,[],[f2483]) ).
fof(f2435,plain,
( ~ spl17_24
| ~ spl17_29
| ~ spl17_30 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2434,plain,
( $false
| ~ spl17_24
| ~ spl17_29
| ~ spl17_30 ),
inference(subsumption_resolution,[],[f2433,f390]) ).
fof(f390,plain,
( g_true_only(sK9(sK6(sK12)),sK6(sK12))
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl17_29
<=> g_true_only(sK9(sK6(sK12)),sK6(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f2433,plain,
( ~ g_true_only(sK9(sK6(sK12)),sK6(sK12))
| ~ spl17_24
| ~ spl17_30 ),
inference(subsumption_resolution,[],[f2431,f422]) ).
fof(f422,plain,
( g_true(sK6(sK12),sK12)
| ~ spl17_30 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl17_30
<=> g_true(sK6(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f2431,plain,
( ~ g_true(sK6(sK12),sK12)
| ~ g_true_only(sK9(sK6(sK12)),sK6(sK12))
| ~ spl17_24 ),
inference(resolution,[],[f367,f162]) ).
fof(f367,plain,
( g_true_only(sK6(sK12),sK9(sK6(sK12)))
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl17_24
<=> g_true_only(sK6(sK12),sK9(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f2430,plain,
( spl17_24
| ~ spl17_28
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f2312,f219,f383,f365]) ).
fof(f383,plain,
( spl17_28
<=> g_false_only(sK10(sK6(sK12)),sK6(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f219,plain,
( spl17_14
<=> sP0(sK6(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f2312,plain,
( ~ g_false_only(sK10(sK6(sK12)),sK6(sK12))
| g_true_only(sK6(sK12),sK9(sK6(sK12)))
| ~ spl17_14 ),
inference(resolution,[],[f221,f69]) ).
fof(f69,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_false_only(sK10(X0),X0)
| g_true_only(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( g_true_only(sK9(X0),X0)
& g_true_only(X0,sK9(X0)) )
| ( ! [X2] :
( ~ g_true_only(X2,X0)
| ~ g_true_only(X0,X2) )
& ~ g_false_only(sK10(X0),X0)
& ~ g_false_only(X0,sK10(X0))
& ( g_both(sK10(X0),X0)
| g_both(X0,sK10(X0)) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f32,f34,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( g_true_only(X1,X0)
& g_true_only(X0,X1) )
=> ( g_true_only(sK9(X0),X0)
& g_true_only(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X3] :
( ~ g_false_only(X3,X0)
& ~ g_false_only(X0,X3)
& ( g_both(X3,X0)
| g_both(X0,X3) ) )
=> ( ~ g_false_only(sK10(X0),X0)
& ~ g_false_only(X0,sK10(X0))
& ( g_both(sK10(X0),X0)
| g_both(X0,sK10(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( g_true_only(X1,X0)
& g_true_only(X0,X1) )
| ( ! [X2] :
( ~ g_true_only(X2,X0)
| ~ g_true_only(X0,X2) )
& ? [X3] :
( ~ g_false_only(X3,X0)
& ~ g_false_only(X0,X3)
& ( g_both(X3,X0)
| g_both(X0,X3) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X5] :
( ? [X11] :
( g_true_only(X11,X5)
& g_true_only(X5,X11) )
| ( ! [X12] :
( ~ g_true_only(X12,X5)
| ~ g_true_only(X5,X12) )
& ? [X13] :
( ~ g_false_only(X13,X5)
& ~ g_false_only(X5,X13)
& ( g_both(X13,X5)
| g_both(X5,X13) ) ) )
| ~ sP0(X5) ),
inference(nnf_transformation,[],[f13]) ).
fof(f221,plain,
( sP0(sK6(sK12))
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f2429,plain,
( spl17_29
| ~ spl17_28
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f2316,f219,f383,f388]) ).
fof(f2316,plain,
( ~ g_false_only(sK10(sK6(sK12)),sK6(sK12))
| g_true_only(sK9(sK6(sK12)),sK6(sK12))
| ~ spl17_14 ),
inference(resolution,[],[f221,f73]) ).
fof(f73,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_false_only(sK10(X0),X0)
| g_true_only(sK9(X0),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f2405,plain,
( ~ spl17_25
| spl17_27
| spl17_28
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f2404,f1188,f383,f378,f369]) ).
fof(f369,plain,
( spl17_25
<=> g_both(sK6(sK12),sK10(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f1188,plain,
( spl17_85
<=> ! [X0] :
( g_false_only(X0,sK6(sK12))
| ~ g_both(sK6(sK12),X0)
| g_false_only(sK6(sK12),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
fof(f2404,plain,
( ~ g_both(sK6(sK12),sK10(sK6(sK12)))
| spl17_27
| spl17_28
| ~ spl17_85 ),
inference(subsumption_resolution,[],[f2400,f380]) ).
fof(f2400,plain,
( ~ g_both(sK6(sK12),sK10(sK6(sK12)))
| g_false_only(sK6(sK12),sK10(sK6(sK12)))
| spl17_28
| ~ spl17_85 ),
inference(resolution,[],[f1189,f385]) ).
fof(f385,plain,
( ~ g_false_only(sK10(sK6(sK12)),sK6(sK12))
| spl17_28 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f1189,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| ~ g_both(sK6(sK12),X0)
| g_false_only(sK6(sK12),X0) )
| ~ spl17_85 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f2346,plain,
( spl17_85
| ~ spl17_79 ),
inference(avatar_split_clause,[],[f2335,f1071,f1188]) ).
fof(f2335,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| ~ g_both(sK6(sK12),X0)
| g_false_only(X0,sK6(sK12)) )
| ~ spl17_79 ),
inference(resolution,[],[f1073,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ g_true_only(X0,sK12)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| g_false_only(X1,X0) ),
inference(subsumption_resolution,[],[f167,f77]) ).
fof(f77,plain,
! [X5,X13] :
( ~ g_true_only(X5,sK12)
| g_false_only(X13,X5)
| g_false_only(X5,X13)
| ~ g_both(X5,X13)
| g_true_only(sK16(X5),X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f167,plain,
! [X0,X1] :
( ~ g_true_only(sK16(X0),X0)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| ~ g_true_only(X0,sK12) ),
inference(subsumption_resolution,[],[f164,f93]) ).
fof(f164,plain,
! [X0,X1] :
( ~ g_true(X0,sK12)
| ~ g_true_only(sK16(X0),X0)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| ~ g_true_only(X0,sK12) ),
inference(resolution,[],[f162,f75]) ).
fof(f75,plain,
! [X5,X13] :
( g_true_only(X5,sK16(X5))
| g_false_only(X13,X5)
| g_false_only(X5,X13)
| ~ g_both(X5,X13)
| ~ g_true_only(X5,sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f2309,plain,
( spl17_79
| spl17_15
| ~ spl17_13
| spl17_23 ),
inference(avatar_split_clause,[],[f2308,f352,f215,f223,f1071]) ).
fof(f2308,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| g_true_only(sK6(sK12),sK12)
| g_false_only(X0,sK6(sK12)) )
| ~ spl17_13
| spl17_23 ),
inference(subsumption_resolution,[],[f1080,f353]) ).
fof(f1080,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| g_true_only(sK6(sK12),sK12)
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),sK12) )
| ~ spl17_13 ),
inference(duplicate_literal_removal,[],[f1076]) ).
fof(f1076,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| g_true_only(sK6(sK12),sK12)
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),sK12)
| g_false_only(sK6(sK12),sK12) )
| ~ spl17_13 ),
inference(resolution,[],[f216,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sP2(X1)
| g_false_only(sK6(X1),X0)
| g_true_only(sK6(X1),X1)
| g_false_only(X0,sK6(X1))
| g_false_only(sK6(X1),sK12)
| g_false_only(sK6(X1),X1) ),
inference(resolution,[],[f198,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( ( ! [X2] :
( ~ g_true_only(X2,X0)
| ~ g_true_only(X0,X2) )
& ~ g_false_only(sK8(X0),X0)
& ~ g_false_only(X0,sK8(X0))
& ( g_both(sK8(X0),X0)
| g_both(X0,sK8(X0)) ) )
| ! [X4] :
( g_false_only(X4,X0)
| g_false_only(X0,X4) ) )
& g_false_only(X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f28,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( ~ g_false_only(X3,X0)
& ~ g_false_only(X0,X3)
& ( g_both(X3,X0)
| g_both(X0,X3) ) )
=> ( ~ g_false_only(sK8(X0),X0)
& ~ g_false_only(X0,sK8(X0))
& ( g_both(sK8(X0),X0)
| g_both(X0,sK8(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( ( ! [X2] :
( ~ g_true_only(X2,X0)
| ~ g_true_only(X0,X2) )
& ? [X3] :
( ~ g_false_only(X3,X0)
& ~ g_false_only(X0,X3)
& ( g_both(X3,X0)
| g_both(X0,X3) ) ) )
| ! [X4] :
( g_false_only(X4,X0)
| g_false_only(X0,X4) ) )
& g_false_only(X0,X1) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X5,X4] :
( ( ( ( ! [X6] :
( ~ g_true_only(X6,X5)
| ~ g_true_only(X5,X6) )
& ? [X7] :
( ~ g_false_only(X7,X5)
& ~ g_false_only(X5,X7)
& ( g_both(X7,X5)
| g_both(X5,X7) ) ) )
| ! [X8] :
( g_false_only(X8,X5)
| g_false_only(X5,X8) ) )
& g_false_only(X5,X4) )
| ~ sP1(X5,X4) ),
inference(nnf_transformation,[],[f14]) ).
fof(f198,plain,
! [X0,X1] :
( sP1(sK6(X0),X0)
| g_false_only(X1,sK6(X0))
| g_false_only(sK6(X0),X1)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0)
| g_false_only(sK6(X0),sK12) ),
inference(subsumption_resolution,[],[f196,f60]) ).
fof(f60,plain,
! [X3,X0] :
( g_true_only(sK7(X0),sK6(X0))
| sP1(sK6(X0),X0)
| g_false_only(X3,sK6(X0))
| g_false_only(sK6(X0),X3)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f196,plain,
! [X0,X1] :
( sP1(sK6(X0),X0)
| g_false_only(X1,sK6(X0))
| g_false_only(sK6(X0),X1)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0)
| g_false_only(sK6(X0),sK12)
| ~ g_true_only(sK7(X0),sK6(X0)) ),
inference(resolution,[],[f58,f150]) ).
fof(f150,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| g_false_only(X0,sK12)
| ~ g_true_only(X1,X0) ),
inference(subsumption_resolution,[],[f148,f79]) ).
fof(f148,plain,
! [X0,X1] :
( g_false_only(X0,sK12)
| g_true_only(X0,sK12)
| ~ g_true_only(X0,X1)
| ~ g_true_only(X1,X0) ),
inference(resolution,[],[f96,f82]) ).
fof(f58,plain,
! [X3,X0] :
( g_true_only(sK6(X0),sK7(X0))
| sP1(sK6(X0),X0)
| g_false_only(X3,sK6(X0))
| g_false_only(sK6(X0),X3)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f2299,plain,
( spl17_23
| spl17_14
| spl17_15
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f1079,f215,f223,f219,f352]) ).
fof(f1079,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| sP0(sK6(sK12))
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),sK12) )
| ~ spl17_13 ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( ! [X0] :
( g_false_only(sK6(sK12),X0)
| sP0(sK6(sK12))
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),sK12)
| g_false_only(sK6(sK12),sK12) )
| ~ spl17_13 ),
inference(resolution,[],[f216,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ~ sP2(X1)
| g_false_only(sK6(X1),X0)
| sP0(sK6(X1))
| g_false_only(X0,sK6(X1))
| g_false_only(sK6(X1),sK12)
| g_false_only(sK6(X1),X1) ),
inference(resolution,[],[f186,f62]) ).
fof(f186,plain,
! [X0,X1] :
( sP1(sK6(X0),X0)
| g_false_only(X1,sK6(X0))
| g_false_only(sK6(X0),X1)
| sP0(sK6(X0))
| ~ sP2(X0)
| g_false_only(sK6(X0),sK12) ),
inference(subsumption_resolution,[],[f184,f61]) ).
fof(f61,plain,
! [X3,X0] :
( g_true_only(sK7(X0),sK6(X0))
| sP1(sK6(X0),X0)
| g_false_only(X3,sK6(X0))
| g_false_only(sK6(X0),X3)
| sP0(sK6(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f184,plain,
! [X0,X1] :
( sP1(sK6(X0),X0)
| g_false_only(X1,sK6(X0))
| g_false_only(sK6(X0),X1)
| sP0(sK6(X0))
| ~ sP2(X0)
| g_false_only(sK6(X0),sK12)
| ~ g_true_only(sK7(X0),sK6(X0)) ),
inference(resolution,[],[f59,f150]) ).
fof(f59,plain,
! [X3,X0] :
( g_true_only(sK6(X0),sK7(X0))
| sP1(sK6(X0),X0)
| g_false_only(X3,sK6(X0))
| g_false_only(sK6(X0),X3)
| sP0(sK6(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f2267,plain,
( ~ spl17_13
| spl17_30
| spl17_79
| ~ spl17_150 ),
inference(avatar_contradiction_clause,[],[f2266]) ).
fof(f2266,plain,
( $false
| ~ spl17_13
| spl17_30
| spl17_79
| ~ spl17_150 ),
inference(subsumption_resolution,[],[f2265,f216]) ).
fof(f2265,plain,
( ~ sP2(sK12)
| spl17_30
| spl17_79
| ~ spl17_150 ),
inference(subsumption_resolution,[],[f2264,f1072]) ).
fof(f1072,plain,
( ~ g_true_only(sK6(sK12),sK12)
| spl17_79 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f2264,plain,
( g_true_only(sK6(sK12),sK12)
| ~ sP2(sK12)
| spl17_30
| ~ spl17_150 ),
inference(subsumption_resolution,[],[f2252,f1256]) ).
fof(f1256,plain,
( ~ g_both(sK6(sK12),sK12)
| spl17_30 ),
inference(resolution,[],[f423,f97]) ).
fof(f423,plain,
( ~ g_true(sK6(sK12),sK12)
| spl17_30 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f2252,plain,
( g_both(sK6(sK12),sK12)
| g_true_only(sK6(sK12),sK12)
| ~ sP2(sK12)
| ~ spl17_150 ),
inference(resolution,[],[f2006,f56]) ).
fof(f2250,plain,
( ~ spl17_86
| ~ spl17_12
| ~ spl17_83 ),
inference(avatar_split_clause,[],[f2201,f1180,f212,f1192]) ).
fof(f1192,plain,
( spl17_86
<=> g_true_only(sK6(sK12),sK13(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
fof(f212,plain,
( spl17_12
<=> ! [X2] :
( ~ g_true_only(sK6(sK12),X2)
| ~ g_true_only(X2,sK6(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f1180,plain,
( spl17_83
<=> g_true_only(sK13(sK6(sK12)),sK6(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
fof(f2201,plain,
( ~ g_true_only(sK6(sK12),sK13(sK6(sK12)))
| ~ spl17_12
| ~ spl17_83 ),
inference(resolution,[],[f1182,f213]) ).
fof(f213,plain,
( ! [X2] :
( ~ g_true_only(X2,sK6(sK12))
| ~ g_true_only(sK6(sK12),X2) )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f1182,plain,
( g_true_only(sK13(sK6(sK12)),sK6(sK12))
| ~ spl17_83 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f2190,plain,
( spl17_150
| spl17_15
| ~ spl17_157 ),
inference(avatar_split_clause,[],[f2187,f2040,f223,f2005]) ).
fof(f2040,plain,
( spl17_157
<=> g_false_only(sK6(sK12),sK8(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_157])]) ).
fof(f2187,plain,
( ! [X0,X1] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ sP1(sK6(sK12),X1) )
| ~ spl17_157 ),
inference(resolution,[],[f2042,f64]) ).
fof(f64,plain,
! [X0,X1,X4] :
( ~ g_false_only(X0,sK8(X0))
| g_false_only(X4,X0)
| g_false_only(X0,X4)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f2042,plain,
( g_false_only(sK6(sK12),sK8(sK6(sK12)))
| ~ spl17_157 ),
inference(avatar_component_clause,[],[f2040]) ).
fof(f2180,plain,
( spl17_157
| ~ spl17_84
| ~ spl17_154 ),
inference(avatar_split_clause,[],[f2179,f2026,f1184,f2040]) ).
fof(f2026,plain,
( spl17_154
<=> g_both(sK8(sK6(sK12)),sK6(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_154])]) ).
fof(f2179,plain,
( g_false_only(sK6(sK12),sK8(sK6(sK12)))
| ~ spl17_84
| ~ spl17_154 ),
inference(resolution,[],[f1977,f2028]) ).
fof(f2028,plain,
( g_both(sK8(sK6(sK12)),sK6(sK12))
| ~ spl17_154 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f1977,plain,
( ! [X0] :
( ~ g_both(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0) )
| ~ spl17_84 ),
inference(subsumption_resolution,[],[f1971,f97]) ).
fof(f1971,plain,
( ! [X0] :
( ~ g_both(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_true(X0,sK6(sK12)) )
| ~ spl17_84 ),
inference(resolution,[],[f1185,f101]) ).
fof(f2029,plain,
( spl17_150
| spl17_15
| spl17_154
| spl17_151 ),
inference(avatar_split_clause,[],[f2022,f2008,f2026,f223,f2005]) ).
fof(f2008,plain,
( spl17_151
<=> g_both(sK6(sK12),sK8(sK6(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_151])]) ).
fof(f2022,plain,
( ! [X0,X1] :
( g_both(sK8(sK6(sK12)),sK6(sK12))
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ sP1(sK6(sK12),X1) )
| spl17_151 ),
inference(resolution,[],[f2010,f63]) ).
fof(f63,plain,
! [X0,X1,X4] :
( g_both(X0,sK8(X0))
| g_both(sK8(X0),X0)
| g_false_only(X4,X0)
| g_false_only(X0,X4)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f2010,plain,
( ~ g_both(sK6(sK12),sK8(sK6(sK12)))
| spl17_151 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f2011,plain,
( spl17_150
| spl17_15
| ~ spl17_151
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f2003,f1188,f2008,f223,f2005]) ).
fof(f2003,plain,
( ! [X0,X1] :
( ~ g_both(sK6(sK12),sK8(sK6(sK12)))
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ sP1(sK6(sK12),X1) )
| ~ spl17_85 ),
inference(subsumption_resolution,[],[f1999,f64]) ).
fof(f1999,plain,
( ! [X0,X1] :
( ~ g_both(sK6(sK12),sK8(sK6(sK12)))
| g_false_only(sK6(sK12),sK8(sK6(sK12)))
| g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ sP1(sK6(sK12),X1) )
| ~ spl17_85 ),
inference(resolution,[],[f1189,f65]) ).
fof(f65,plain,
! [X0,X1,X4] :
( ~ g_false_only(sK8(X0),X0)
| g_false_only(X4,X0)
| g_false_only(X0,X4)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f1258,plain,
( ~ spl17_79
| spl17_30 ),
inference(avatar_split_clause,[],[f1257,f421,f1071]) ).
fof(f1257,plain,
( ~ g_true_only(sK6(sK12),sK12)
| spl17_30 ),
inference(resolution,[],[f423,f93]) ).
fof(f1199,plain,
( ~ spl17_30
| ~ spl17_23 ),
inference(avatar_split_clause,[],[f1177,f352,f421]) ).
fof(f1177,plain,
( ~ g_true(sK6(sK12),sK12)
| ~ spl17_23 ),
inference(resolution,[],[f354,f101]) ).
fof(f354,plain,
( g_false_only(sK6(sK12),sK12)
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f1196,plain,
( spl17_86
| spl17_85
| ~ spl17_23 ),
inference(avatar_split_clause,[],[f1176,f352,f1188,f1192]) ).
fof(f1176,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_both(sK6(sK12),X0)
| g_true_only(sK6(sK12),sK13(sK6(sK12))) )
| ~ spl17_23 ),
inference(resolution,[],[f354,f85]) ).
fof(f85,plain,
! [X7,X5] :
( ~ g_false_only(X5,sK12)
| g_false_only(X7,X5)
| g_false_only(X5,X7)
| ~ g_both(X5,X7)
| g_true_only(X5,sK13(X5)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1195,plain,
( spl17_86
| spl17_84
| ~ spl17_23 ),
inference(avatar_split_clause,[],[f1175,f352,f1184,f1192]) ).
fof(f1175,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_both(X0,sK6(sK12))
| g_true_only(sK6(sK12),sK13(sK6(sK12))) )
| ~ spl17_23 ),
inference(resolution,[],[f354,f86]) ).
fof(f86,plain,
! [X7,X5] :
( ~ g_false_only(X5,sK12)
| g_false_only(X7,X5)
| g_false_only(X5,X7)
| ~ g_both(X7,X5)
| g_true_only(X5,sK13(X5)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1190,plain,
( spl17_83
| spl17_85
| ~ spl17_23 ),
inference(avatar_split_clause,[],[f1174,f352,f1188,f1180]) ).
fof(f1174,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_both(sK6(sK12),X0)
| g_true_only(sK13(sK6(sK12)),sK6(sK12)) )
| ~ spl17_23 ),
inference(resolution,[],[f354,f87]) ).
fof(f87,plain,
! [X7,X5] :
( ~ g_false_only(X5,sK12)
| g_false_only(X7,X5)
| g_false_only(X5,X7)
| ~ g_both(X5,X7)
| g_true_only(sK13(X5),X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1186,plain,
( spl17_83
| spl17_84
| ~ spl17_23 ),
inference(avatar_split_clause,[],[f1173,f352,f1184,f1180]) ).
fof(f1173,plain,
( ! [X0] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_both(X0,sK6(sK12))
| g_true_only(sK13(sK6(sK12)),sK6(sK12)) )
| ~ spl17_23 ),
inference(resolution,[],[f354,f88]) ).
fof(f88,plain,
! [X7,X5] :
( ~ g_false_only(X5,sK12)
| g_false_only(X7,X5)
| g_false_only(X5,X7)
| ~ g_both(X7,X5)
| g_true_only(sK13(X5),X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1056,plain,
( ~ spl17_60
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f1055,f878,f885]) ).
fof(f885,plain,
( spl17_60
<=> g_false_only(sK4,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_60])]) ).
fof(f878,plain,
( spl17_58
<=> ! [X1] :
( g_false_only(X1,sK4)
| g_false_only(sK4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_58])]) ).
fof(f1055,plain,
( ~ g_false_only(sK4,sK12)
| ~ spl17_58 ),
inference(subsumption_resolution,[],[f1021,f83]) ).
fof(f83,plain,
! [X5] :
( ~ g_false_only(X5,sK14(X5))
| ~ g_false_only(X5,sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1021,plain,
( g_false_only(sK4,sK14(sK4))
| ~ g_false_only(sK4,sK12)
| ~ spl17_58 ),
inference(resolution,[],[f879,f84]) ).
fof(f84,plain,
! [X5] :
( ~ g_false_only(sK14(X5),X5)
| ~ g_false_only(X5,sK12) ),
inference(cnf_transformation,[],[f43]) ).
fof(f879,plain,
( ! [X1] :
( g_false_only(X1,sK4)
| g_false_only(sK4,X1) )
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1054,plain,
( ~ spl17_62
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f1053,f878,f893]) ).
fof(f893,plain,
( spl17_62
<=> g_both(sK4,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
fof(f1053,plain,
( ~ g_both(sK4,sK12)
| ~ spl17_58 ),
inference(subsumption_resolution,[],[f1022,f80]) ).
fof(f1022,plain,
( g_false_only(sK4,sK15(sK4))
| ~ g_both(sK4,sK12)
| ~ spl17_58 ),
inference(resolution,[],[f879,f81]) ).
fof(f1038,plain,
( spl17_67
| ~ spl17_3
| spl17_70 ),
inference(avatar_split_clause,[],[f1031,f967,f112,f935]) ).
fof(f935,plain,
( spl17_67
<=> ! [X1] :
( ~ g_true_only(sK5(sK12),X1)
| ~ g_true_only(X1,sK5(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).
fof(f112,plain,
( spl17_3
<=> ! [X1] :
( g_true_only(sK5(X1),X1)
| g_true_only(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f967,plain,
( spl17_70
<=> g_true_only(sK12,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
fof(f1031,plain,
( ! [X0] :
( ~ g_true_only(sK5(sK12),X0)
| ~ g_true_only(X0,sK5(sK12)) )
| ~ spl17_3
| spl17_70 ),
inference(resolution,[],[f980,f79]) ).
fof(f980,plain,
( g_true_only(sK5(sK12),sK12)
| ~ spl17_3
| spl17_70 ),
inference(resolution,[],[f969,f113]) ).
fof(f113,plain,
( ! [X1] :
( g_true_only(X1,sK4)
| g_true_only(sK5(X1),X1) )
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f969,plain,
( ~ g_true_only(sK12,sK4)
| spl17_70 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f983,plain,
( ~ spl17_3
| ~ spl17_5
| ~ spl17_67
| spl17_70 ),
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| ~ spl17_3
| ~ spl17_5
| ~ spl17_67
| spl17_70 ),
inference(subsumption_resolution,[],[f980,f978]) ).
fof(f978,plain,
( ~ g_true_only(sK5(sK12),sK12)
| ~ spl17_5
| ~ spl17_67
| spl17_70 ),
inference(subsumption_resolution,[],[f974,f969]) ).
fof(f974,plain,
( ~ g_true_only(sK5(sK12),sK12)
| g_true_only(sK12,sK4)
| ~ spl17_5
| ~ spl17_67 ),
inference(resolution,[],[f936,f121]) ).
fof(f121,plain,
( ! [X1] :
( g_true_only(X1,sK5(X1))
| g_true_only(X1,sK4) )
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl17_5
<=> ! [X1] :
( g_true_only(X1,sK5(X1))
| g_true_only(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f936,plain,
( ! [X1] :
( ~ g_true_only(X1,sK5(sK12))
| ~ g_true_only(sK5(sK12),X1) )
| ~ spl17_67 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f972,plain,
( ~ spl17_70
| spl17_60
| ~ spl17_68 ),
inference(avatar_split_clause,[],[f971,f943,f885,f967]) ).
fof(f943,plain,
( spl17_68
<=> g_true_only(sK4,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
fof(f971,plain,
( ~ g_true_only(sK12,sK4)
| spl17_60
| ~ spl17_68 ),
inference(subsumption_resolution,[],[f965,f887]) ).
fof(f887,plain,
( ~ g_false_only(sK4,sK12)
| spl17_60 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f965,plain,
( g_false_only(sK4,sK12)
| ~ g_true_only(sK12,sK4)
| ~ spl17_68 ),
inference(resolution,[],[f945,f150]) ).
fof(f945,plain,
( g_true_only(sK4,sK12)
| ~ spl17_68 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f952,plain,
( spl17_68
| spl17_60
| spl17_62 ),
inference(avatar_split_clause,[],[f951,f893,f885,f943]) ).
fof(f951,plain,
( g_true_only(sK4,sK12)
| spl17_60
| spl17_62 ),
inference(subsumption_resolution,[],[f941,f887]) ).
fof(f941,plain,
( g_false_only(sK4,sK12)
| g_true_only(sK4,sK12)
| spl17_62 ),
inference(resolution,[],[f895,f96]) ).
fof(f895,plain,
( ~ g_both(sK4,sK12)
| spl17_62 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f900,plain,
( spl17_58
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f871,f124,f878]) ).
fof(f124,plain,
( spl17_6
<=> ! [X1,X3] :
( g_false_only(X1,sK4)
| g_false_only(X1,X3)
| g_false_only(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f871,plain,
( ! [X0] :
( g_false_only(X0,sK4)
| g_false_only(sK4,X0) )
| ~ spl17_6 ),
inference(factoring,[],[f125]) ).
fof(f125,plain,
( ! [X3,X1] :
( g_false_only(X1,sK4)
| g_false_only(X1,X3)
| g_false_only(X3,X1) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f814,plain,
( ~ spl17_41
| ~ spl17_44 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f813,plain,
( $false
| ~ spl17_41
| ~ spl17_44 ),
inference(subsumption_resolution,[],[f812,f611]) ).
fof(f611,plain,
( g_true_only(sK13(sK12),sK12)
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl17_44
<=> g_true_only(sK13(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f812,plain,
( ~ g_true_only(sK13(sK12),sK12)
| ~ spl17_41
| ~ spl17_44 ),
inference(resolution,[],[f806,f93]) ).
fof(f806,plain,
( ~ g_true(sK13(sK12),sK12)
| ~ spl17_41
| ~ spl17_44 ),
inference(subsumption_resolution,[],[f790,f599]) ).
fof(f599,plain,
( g_true_only(sK12,sK13(sK12))
| ~ spl17_41 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl17_41
<=> g_true_only(sK12,sK13(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
fof(f790,plain,
( ~ g_true(sK13(sK12),sK12)
| ~ g_true_only(sK12,sK13(sK12))
| ~ spl17_44 ),
inference(resolution,[],[f611,f162]) ).
fof(f772,plain,
( ~ spl17_45
| spl17_46
| ~ spl17_47 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| ~ spl17_45
| spl17_46
| ~ spl17_47 ),
inference(subsumption_resolution,[],[f770,f680]) ).
fof(f680,plain,
( g_true_only(sK12,sK14(sK12))
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl17_45
<=> g_true_only(sK12,sK14(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f770,plain,
( ~ g_true_only(sK12,sK14(sK12))
| spl17_46
| ~ spl17_47 ),
inference(subsumption_resolution,[],[f760,f683]) ).
fof(f683,plain,
( ~ g_false_only(sK14(sK12),sK12)
| spl17_46 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f682,plain,
( spl17_46
<=> g_false_only(sK14(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f760,plain,
( g_false_only(sK14(sK12),sK12)
| ~ g_true_only(sK12,sK14(sK12))
| ~ spl17_47 ),
inference(resolution,[],[f727,f150]) ).
fof(f727,plain,
( g_true_only(sK14(sK12),sK12)
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f725,plain,
( spl17_47
<=> g_true_only(sK14(sK12),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
fof(f740,plain,
( ~ spl17_19
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| ~ spl17_19
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f732,f331]) ).
fof(f331,plain,
( g_false_only(sK12,sK12)
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl17_19
<=> g_false_only(sK12,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f732,plain,
( ~ g_false_only(sK12,sK12)
| ~ spl17_46 ),
inference(resolution,[],[f684,f84]) ).
fof(f684,plain,
( g_false_only(sK14(sK12),sK12)
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f728,plain,
( spl17_47
| spl17_46
| ~ spl17_19
| ~ spl17_43 ),
inference(avatar_split_clause,[],[f723,f605,f330,f682,f725]) ).
fof(f605,plain,
( spl17_43
<=> ! [X0] :
( g_false_only(X0,sK12)
| ~ g_both(X0,sK12)
| g_false_only(sK12,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
fof(f723,plain,
( g_false_only(sK14(sK12),sK12)
| g_true_only(sK14(sK12),sK12)
| ~ spl17_19
| ~ spl17_43 ),
inference(subsumption_resolution,[],[f720,f331]) ).
fof(f720,plain,
( g_false_only(sK14(sK12),sK12)
| g_true_only(sK14(sK12),sK12)
| ~ g_false_only(sK12,sK12)
| ~ spl17_43 ),
inference(resolution,[],[f650,f83]) ).
fof(f650,plain,
( ! [X0] :
( g_false_only(sK12,X0)
| g_false_only(X0,sK12)
| g_true_only(X0,sK12) )
| ~ spl17_43 ),
inference(duplicate_literal_removal,[],[f644]) ).
fof(f644,plain,
( ! [X0] :
( g_false_only(X0,sK12)
| g_false_only(sK12,X0)
| g_false_only(X0,sK12)
| g_true_only(X0,sK12) )
| ~ spl17_43 ),
inference(resolution,[],[f606,f96]) ).
fof(f606,plain,
( ! [X0] :
( ~ g_both(X0,sK12)
| g_false_only(X0,sK12)
| g_false_only(sK12,X0) )
| ~ spl17_43 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f685,plain,
( spl17_45
| spl17_46
| ~ spl17_19
| ~ spl17_42 ),
inference(avatar_split_clause,[],[f676,f601,f330,f682,f678]) ).
fof(f601,plain,
( spl17_42
<=> ! [X0] :
( g_false_only(X0,sK12)
| ~ g_both(sK12,X0)
| g_false_only(sK12,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
fof(f676,plain,
( g_false_only(sK14(sK12),sK12)
| g_true_only(sK12,sK14(sK12))
| ~ spl17_19
| ~ spl17_42 ),
inference(subsumption_resolution,[],[f673,f331]) ).
fof(f673,plain,
( g_false_only(sK14(sK12),sK12)
| g_true_only(sK12,sK14(sK12))
| ~ g_false_only(sK12,sK12)
| ~ spl17_42 ),
inference(resolution,[],[f625,f83]) ).
fof(f625,plain,
( ! [X0] :
( g_false_only(sK12,X0)
| g_false_only(X0,sK12)
| g_true_only(sK12,X0) )
| ~ spl17_42 ),
inference(duplicate_literal_removal,[],[f623]) ).
fof(f623,plain,
( ! [X0] :
( g_false_only(X0,sK12)
| g_false_only(sK12,X0)
| g_false_only(sK12,X0)
| g_true_only(sK12,X0) )
| ~ spl17_42 ),
inference(resolution,[],[f602,f96]) ).
fof(f602,plain,
( ! [X0] :
( ~ g_both(sK12,X0)
| g_false_only(X0,sK12)
| g_false_only(sK12,X0) )
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f613,plain,
( spl17_44
| spl17_43
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f429,f330,f605,f609]) ).
fof(f429,plain,
( ! [X0] :
( g_false_only(X0,sK12)
| g_false_only(sK12,X0)
| ~ g_both(X0,sK12)
| g_true_only(sK13(sK12),sK12) )
| ~ spl17_19 ),
inference(resolution,[],[f331,f88]) ).
fof(f612,plain,
( spl17_44
| spl17_42
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f430,f330,f601,f609]) ).
fof(f430,plain,
( ! [X0] :
( g_false_only(X0,sK12)
| g_false_only(sK12,X0)
| ~ g_both(sK12,X0)
| g_true_only(sK13(sK12),sK12) )
| ~ spl17_19 ),
inference(resolution,[],[f331,f87]) ).
fof(f607,plain,
( spl17_41
| spl17_43
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f431,f330,f605,f597]) ).
fof(f431,plain,
( ! [X0] :
( g_false_only(X0,sK12)
| g_false_only(sK12,X0)
| ~ g_both(X0,sK12)
| g_true_only(sK12,sK13(sK12)) )
| ~ spl17_19 ),
inference(resolution,[],[f331,f86]) ).
fof(f603,plain,
( spl17_41
| spl17_42
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f432,f330,f601,f597]) ).
fof(f432,plain,
( ! [X0] :
( g_false_only(X0,sK12)
| g_false_only(sK12,X0)
| ~ g_both(sK12,X0)
| g_true_only(sK12,sK13(sK12)) )
| ~ spl17_19 ),
inference(resolution,[],[f331,f85]) ).
fof(f424,plain,
( ~ spl17_30
| ~ spl17_13
| spl17_14
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f411,f223,f219,f215,f421]) ).
fof(f411,plain,
( ~ sP2(sK12)
| ~ g_true(sK6(sK12),sK12)
| spl17_14
| ~ spl17_15 ),
inference(subsumption_resolution,[],[f407,f220]) ).
fof(f220,plain,
( ~ sP0(sK6(sK12))
| spl17_14 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f407,plain,
( sP0(sK6(sK12))
| ~ sP2(sK12)
| ~ g_true(sK6(sK12),sK12)
| ~ spl17_15 ),
inference(resolution,[],[f404,f174]) ).
fof(f174,plain,
! [X0] :
( g_both(sK6(X0),X0)
| sP0(sK6(X0))
| ~ sP2(X0)
| ~ g_true(sK6(X0),X0) ),
inference(resolution,[],[f173,f99]) ).
fof(f173,plain,
! [X0] :
( g_false(sK6(X0),X0)
| ~ sP2(X0)
| sP0(sK6(X0)) ),
inference(subsumption_resolution,[],[f172,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f172,plain,
! [X0] :
( sP0(sK6(X0))
| ~ sP2(X0)
| g_false_only(sK6(X0),X0)
| g_false(sK6(X0),X0) ),
inference(resolution,[],[f169,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f169,plain,
! [X0] :
( g_both(sK6(X0),X0)
| sP0(sK6(X0))
| ~ sP2(X0)
| g_false_only(sK6(X0),X0) ),
inference(resolution,[],[f57,f62]) ).
fof(f57,plain,
! [X0] :
( sP1(sK6(X0),X0)
| g_both(sK6(X0),X0)
| sP0(sK6(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f404,plain,
( ~ g_both(sK6(sK12),sK12)
| ~ spl17_15 ),
inference(subsumption_resolution,[],[f400,f80]) ).
fof(f400,plain,
( g_false_only(sK6(sK12),sK15(sK6(sK12)))
| ~ g_both(sK6(sK12),sK12)
| ~ spl17_15 ),
inference(resolution,[],[f224,f81]) ).
fof(f403,plain,
( ~ spl17_23
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f402,f223,f352]) ).
fof(f402,plain,
( ~ g_false_only(sK6(sK12),sK12)
| ~ spl17_15 ),
inference(subsumption_resolution,[],[f399,f83]) ).
fof(f399,plain,
( g_false_only(sK6(sK12),sK14(sK6(sK12)))
| ~ g_false_only(sK6(sK12),sK12)
| ~ spl17_15 ),
inference(resolution,[],[f224,f84]) ).
fof(f392,plain,
( spl17_29
| ~ spl17_27
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f361,f219,f378,f388]) ).
fof(f361,plain,
( ~ g_false_only(sK6(sK12),sK10(sK6(sK12)))
| g_true_only(sK9(sK6(sK12)),sK6(sK12))
| ~ spl17_14 ),
inference(resolution,[],[f221,f72]) ).
fof(f72,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_false_only(X0,sK10(X0))
| g_true_only(sK9(X0),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f391,plain,
( spl17_29
| spl17_25
| spl17_26
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f360,f219,f373,f369,f388]) ).
fof(f360,plain,
( g_both(sK10(sK6(sK12)),sK6(sK12))
| g_both(sK6(sK12),sK10(sK6(sK12)))
| g_true_only(sK9(sK6(sK12)),sK6(sK12))
| ~ spl17_14 ),
inference(resolution,[],[f221,f71]) ).
fof(f71,plain,
! [X0] :
( ~ sP0(X0)
| g_both(sK10(X0),X0)
| g_both(X0,sK10(X0))
| g_true_only(sK9(X0),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f381,plain,
( spl17_24
| ~ spl17_27
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f357,f219,f378,f365]) ).
fof(f357,plain,
( ~ g_false_only(sK6(sK12),sK10(sK6(sK12)))
| g_true_only(sK6(sK12),sK9(sK6(sK12)))
| ~ spl17_14 ),
inference(resolution,[],[f221,f68]) ).
fof(f68,plain,
! [X0] :
( ~ sP0(X0)
| ~ g_false_only(X0,sK10(X0))
| g_true_only(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f376,plain,
( spl17_24
| spl17_25
| spl17_26
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f356,f219,f373,f369,f365]) ).
fof(f356,plain,
( g_both(sK10(sK6(sK12)),sK6(sK12))
| g_both(sK6(sK12),sK10(sK6(sK12)))
| g_true_only(sK6(sK12),sK9(sK6(sK12)))
| ~ spl17_14 ),
inference(resolution,[],[f221,f67]) ).
fof(f67,plain,
! [X0] :
( ~ sP0(X0)
| g_both(sK10(X0),X0)
| g_both(X0,sK10(X0))
| g_true_only(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f348,plain,
( spl17_12
| ~ spl17_13
| spl17_12
| spl17_15 ),
inference(avatar_split_clause,[],[f347,f223,f212,f215,f212]) ).
fof(f347,plain,
! [X2,X0,X1] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_true_only(X1,sK6(sK12))
| ~ g_true_only(sK6(sK12),X1)
| ~ sP2(sK12)
| ~ g_true_only(sK6(sK12),X2)
| ~ g_true_only(X2,sK6(sK12)) ),
inference(subsumption_resolution,[],[f230,f79]) ).
fof(f230,plain,
! [X2,X0,X1] :
( g_false_only(X0,sK6(sK12))
| g_false_only(sK6(sK12),X0)
| ~ g_true_only(X1,sK6(sK12))
| ~ g_true_only(sK6(sK12),X1)
| g_true_only(sK6(sK12),sK12)
| ~ sP2(sK12)
| ~ g_true_only(sK6(sK12),X2)
| ~ g_true_only(X2,sK6(sK12)) ),
inference(resolution,[],[f176,f82]) ).
fof(f176,plain,
! [X2,X0,X1] :
( g_both(sK6(X0),X0)
| g_false_only(X2,sK6(X0))
| g_false_only(sK6(X0),X2)
| ~ g_true_only(X1,sK6(X0))
| ~ g_true_only(sK6(X0),X1)
| g_true_only(sK6(X0),X0)
| ~ sP2(X0) ),
inference(resolution,[],[f66,f56]) ).
fof(f66,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1)
| ~ g_true_only(X0,X2)
| g_false_only(X4,X0)
| g_false_only(X0,X4)
| ~ g_true_only(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f346,plain,
( spl17_19
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(avatar_split_clause,[],[f345,f215,f144,f136,f330]) ).
fof(f136,plain,
( spl17_9
<=> ! [X0,X1,X3] :
( sP2(X0)
| g_true_only(sK11(X1),X1)
| ~ g_both(X1,X0)
| ~ g_both(X1,X3)
| g_false_only(X1,X3)
| g_false_only(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f144,plain,
( spl17_11
<=> ! [X0,X1,X3] :
( sP2(X0)
| g_true_only(X1,sK11(X1))
| ~ g_both(X1,X0)
| ~ g_both(X1,X3)
| g_false_only(X1,X3)
| g_false_only(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f345,plain,
( g_false_only(sK12,sK12)
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(subsumption_resolution,[],[f318,f150]) ).
fof(f318,plain,
( g_false_only(sK12,sK12)
| g_true_only(sK12,sK12)
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f316,plain,
( g_false_only(sK12,sK12)
| g_false_only(sK12,sK12)
| g_true_only(sK12,sK12)
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(factoring,[],[f259]) ).
fof(f259,plain,
( ! [X0,X1] :
( g_false_only(X0,sK12)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| g_true_only(X0,X1) )
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f252,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| g_false_only(X1,X0)
| g_false_only(X0,sK12)
| g_false_only(X0,X1)
| g_true_only(X0,X1) )
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(resolution,[],[f245,f96]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0)
| g_false_only(X0,sK12) )
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(subsumption_resolution,[],[f239,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ~ g_true_only(X0,sK12)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| g_false_only(X0,sK12) ),
inference(subsumption_resolution,[],[f153,f77]) ).
fof(f153,plain,
! [X0,X1] :
( g_false_only(X0,sK12)
| ~ g_true_only(sK16(X0),X0)
| g_false_only(X1,X0)
| g_false_only(X0,X1)
| ~ g_both(X0,X1)
| ~ g_true_only(X0,sK12) ),
inference(resolution,[],[f150,f75]) ).
fof(f239,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0)
| g_false_only(X0,sK12)
| g_true_only(X0,sK12) )
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(resolution,[],[f235,f96]) ).
fof(f235,plain,
( ! [X0,X1] :
( ~ g_both(X0,sK12)
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0) )
| ~ spl17_9
| ~ spl17_11
| spl17_13 ),
inference(subsumption_resolution,[],[f234,f228]) ).
fof(f228,plain,
( ! [X0,X1] :
( ~ g_both(X0,sK12)
| g_true_only(sK11(X0),X0)
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0) )
| ~ spl17_9
| spl17_13 ),
inference(resolution,[],[f217,f137]) ).
fof(f137,plain,
( ! [X3,X0,X1] :
( sP2(X0)
| g_true_only(sK11(X1),X1)
| ~ g_both(X1,X0)
| ~ g_both(X1,X3)
| g_false_only(X1,X3)
| g_false_only(X3,X1) )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f217,plain,
( ~ sP2(sK12)
| spl17_13 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f234,plain,
( ! [X0,X1] :
( ~ g_both(X0,sK12)
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0)
| ~ g_true_only(sK11(X0),X0) )
| ~ spl17_11
| spl17_13 ),
inference(subsumption_resolution,[],[f232,f97]) ).
fof(f232,plain,
( ! [X0,X1] :
( ~ g_both(X0,sK12)
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0)
| ~ g_true(X0,sK12)
| ~ g_true_only(sK11(X0),X0) )
| ~ spl17_11
| spl17_13 ),
inference(resolution,[],[f226,f162]) ).
fof(f226,plain,
( ! [X0,X1] :
( g_true_only(X0,sK11(X0))
| ~ g_both(X0,sK12)
| ~ g_both(X0,X1)
| g_false_only(X0,X1)
| g_false_only(X1,X0) )
| ~ spl17_11
| spl17_13 ),
inference(resolution,[],[f217,f145]) ).
fof(f145,plain,
( ! [X3,X0,X1] :
( sP2(X0)
| g_true_only(X1,sK11(X1))
| ~ g_both(X1,X0)
| ~ g_both(X1,X3)
| g_false_only(X1,X3)
| g_false_only(X3,X1) )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( spl17_11
| spl17_1 ),
inference(avatar_split_clause,[],[f89,f104,f144]) ).
fof(f104,plain,
( spl17_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f89,plain,
! [X3,X0,X1] :
( sP3
| sP2(X0)
| g_true_only(X1,sK11(X1))
| g_false_only(X3,X1)
| g_false_only(X1,X3)
| ~ g_both(X1,X3)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f138,plain,
( spl17_9
| spl17_1 ),
inference(avatar_split_clause,[],[f91,f104,f136]) ).
fof(f91,plain,
! [X3,X0,X1] :
( sP3
| sP2(X0)
| g_true_only(sK11(X1),X1)
| g_false_only(X3,X1)
| g_false_only(X1,X3)
| ~ g_both(X1,X3)
| ~ g_both(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f126,plain,
( ~ spl17_1
| spl17_6 ),
inference(avatar_split_clause,[],[f51,f124,f104]) ).
fof(f51,plain,
! [X3,X1] :
( g_false_only(X1,sK4)
| g_false_only(X3,X1)
| g_false_only(X1,X3)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ! [X1] :
( ( g_true_only(sK5(X1),X1)
& g_true_only(X1,sK5(X1))
& g_false_only(X1,sK4) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,sK4) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f18,f20,f19]) ).
fof(f19,plain,
( ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,X0) ) )
=> ! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,sK4) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X1] :
( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
=> ( g_true_only(sK5(X1),X1)
& g_true_only(X1,sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X0] :
! [X1] :
( ( ? [X2] :
( g_true_only(X2,X1)
& g_true_only(X1,X2) )
& g_false_only(X1,X0) )
| ( ! [X3] :
( g_false_only(X3,X1)
| g_false_only(X1,X3) )
& g_true_only(X1,X0) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f16]) ).
fof(f122,plain,
( ~ spl17_1
| spl17_5 ),
inference(avatar_split_clause,[],[f52,f120,f104]) ).
fof(f52,plain,
! [X1] :
( g_true_only(X1,sK5(X1))
| g_true_only(X1,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
fof(f114,plain,
( ~ spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f54,f112,f104]) ).
fof(f54,plain,
! [X1] :
( g_true_only(sK5(X1),X1)
| g_true_only(X1,sK4)
| ~ sP3 ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO604+1 : TPTP v8.2.0. Released v7.0.0.
% 0.04/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jun 23 10:28:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.44 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17082)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.22/0.44 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17088)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.44 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17087)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.22/0.44 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17083)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.22/0.44 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (17085)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.45 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (17086)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.45 % (17086)Refutation not found, incomplete strategy% (17086)------------------------------
% 0.22/0.45 % (17086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (17086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (17086)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45 % (17086)Memory used [KB]: 1195
% 0.22/0.45 % (17086)Time elapsed: 0.005 s
% 0.22/0.45 % (17086)Instructions burned: 6 (million)
% 0.22/0.45 % (17086)------------------------------
% 0.22/0.45 % (17086)------------------------------
% 0.22/0.45 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (17084)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.22/0.49 % (17084)Refutation not found, incomplete strategy% (17084)------------------------------
% 0.22/0.49 % (17084)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (17084)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (17084)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49 % (17084)Memory used [KB]: 1462
% 0.22/0.49 % (17084)Time elapsed: 0.035 s
% 0.22/0.49 % (17084)Instructions burned: 56 (million)
% 0.22/0.49 % (17084)------------------------------
% 0.22/0.49 % (17084)------------------------------
% 0.22/0.49 % (17088)Instruction limit reached!
% 0.22/0.49 % (17088)------------------------------
% 0.22/0.49 % (17088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (17088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (17088)Termination reason: Time limit
% 0.22/0.49 % (17088)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (17088)Memory used [KB]: 2603
% 0.22/0.49 % (17088)Time elapsed: 0.053 s
% 0.22/0.49 % (17088)Instructions burned: 104 (million)
% 0.22/0.50 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (17091)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2999ds/110Mi)
% 0.22/0.50 % (17085)Instruction limit reached!
% 0.22/0.50 % (17085)------------------------------
% 0.22/0.50 % (17085)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (17085)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (17085)Termination reason: Time limit
% 0.22/0.50 % (17085)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (17085)Memory used [KB]: 3567
% 0.22/0.50 % (17085)Time elapsed: 0.059 s
% 0.22/0.50 % (17085)Instructions burned: 105 (million)
% 0.22/0.50 % (17087)Instruction limit reached!
% 0.22/0.50 % (17087)------------------------------
% 0.22/0.50 % (17087)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (17087)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (17087)Termination reason: Time limit
% 0.22/0.50 % (17087)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (17087)Memory used [KB]: 2108
% 0.22/0.50 % (17087)Time elapsed: 0.060 s
% 0.22/0.50 % (17087)Instructions burned: 119 (million)
% 0.22/0.52 % (17081)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (17092)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/319Mi)
% 0.22/0.53 % (17091)Instruction limit reached!
% 0.22/0.53 % (17091)------------------------------
% 0.22/0.53 % (17091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.53 % (17091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.53 % (17091)Termination reason: Time limit
% 0.22/0.53 % (17091)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (17091)Memory used [KB]: 1484
% 0.22/0.53 % (17091)Time elapsed: 0.032 s
% 0.22/0.53 % (17091)Instructions burned: 111 (million)
% 1.29/0.53 % (17081)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.53 % (17093)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 1.29/0.53 % (17081)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.53 % (17094)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 1.29/0.53 % (17081)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.53 % (17095)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 1.29/0.54 % (17093)Refutation not found, incomplete strategy% (17093)------------------------------
% 1.29/0.54 % (17093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.54 % (17093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.54 % (17093)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.54
% 1.29/0.54 % (17093)Memory used [KB]: 1192
% 1.29/0.54 % (17093)Time elapsed: 0.004 s
% 1.29/0.54 % (17093)Instructions burned: 7 (million)
% 1.29/0.54 % (17093)------------------------------
% 1.29/0.54 % (17093)------------------------------
% 1.40/0.56 % (17094)Refutation not found, incomplete strategy% (17094)------------------------------
% 1.40/0.56 % (17094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.56 % (17094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.56 % (17094)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.56
% 1.40/0.56 % (17094)Memory used [KB]: 1618
% 1.40/0.56 % (17094)Time elapsed: 0.025 s
% 1.40/0.56 % (17094)Instructions burned: 75 (million)
% 1.40/0.56 % (17094)------------------------------
% 1.40/0.56 % (17094)------------------------------
% 1.40/0.57 % (17081)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.57 % (17096)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2998ds/119Mi)
% 1.40/0.57 % (17092)First to succeed.
% 1.40/0.58 % (17092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17081"
% 1.40/0.58 % (17081)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.58 % (17092)Refutation found. Thanks to Tanya!
% 1.40/0.58 % SZS status Theorem for theBenchmark
% 1.40/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.58 % (17092)------------------------------
% 1.40/0.58 % (17092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.58 % (17092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.58 % (17092)Termination reason: Refutation
% 1.40/0.58
% 1.40/0.58 % (17092)Memory used [KB]: 2154
% 1.40/0.58 % (17092)Time elapsed: 0.053 s
% 1.40/0.58 % (17092)Instructions burned: 169 (million)
% 1.40/0.58 % (17092)------------------------------
% 1.40/0.58 % (17092)------------------------------
% 1.40/0.58 % (17081)Success in time 0.205 s
%------------------------------------------------------------------------------