TSTP Solution File: ITP006+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ITP006+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:20:15 EDT 2022
% Result : Theorem 3.84s 1.14s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 40
% Syntax : Number of formulae : 215 ( 22 unt; 0 def)
% Number of atoms : 1069 ( 155 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 1284 ( 430 ~; 495 |; 235 &)
% ( 75 <=>; 48 =>; 0 <=; 1 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 8 con; 0-4 aty)
% Number of variables : 530 ( 458 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1096,plain,
$false,
inference(avatar_smt_refutation,[],[f870,f878,f885,f890,f894,f895,f896,f897,f898,f899,f900,f905,f906,f907,f908,f909,f910,f911,f914,f915,f916,f917,f922,f923,f924,f925,f926,f927,f928,f929,f933,f936,f937,f938,f939,f942,f943,f944,f945,f946,f947,f960,f978,f1019,f1045,f1049,f1072,f1091,f1095]) ).
fof(f1095,plain,
( spl18_3
| spl18_18 ),
inference(avatar_split_clause,[],[f1088,f1093,f872]) ).
fof(f872,plain,
( spl18_3
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f1093,plain,
( spl18_18
<=> ! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(X0,sK2),X1),s(X0,sK16(sK2,X0,X1,sK3))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,sK2),X1),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).
fof(f1088,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(X0,sK2),X1),s(X0,sK16(sK2,X0,X1,sK3))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,sK2),X1),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ),
inference(superposition,[],[f609,f995]) ).
fof(f995,plain,
! [X4] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3),s(sK2,X4)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,X4))) ),
inference(resolution,[],[f953,f231]) ).
fof(f231,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X0) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X7] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> p(s(tyop_2Emin_2Ebool,X7)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X7))
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> p(s(tyop_2Emin_2Ebool,X7)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7)
<=> ~ p(s(tyop_2Emin_2Ebool,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(f953,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,X0))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3),s(sK2,X0))) ),
inference(resolution,[],[f225,f243]) ).
fof(f243,plain,
! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3),s(sK2,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,X5)))) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3),s(sK2,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,X5)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f134,f135]) ).
fof(f135,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3),s(X2,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X5)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3)))) )
=> ( ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3),s(sK2,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,X5)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3),s(X2,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X5)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3)))) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
? [X0,X3,X4,X2,X1] :
( ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X0),s(X4,X5)))) )
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2)))) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
? [X3,X1,X0,X4,X2] :
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2))))
& p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X0))))
& ! [X5] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X0),s(X4,X5)))) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
~ ! [X3,X1,X0,X4,X2] :
( ! [X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X0),s(X4,X5)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X0))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2)))) ) ),
inference(rectify,[],[f50]) ).
fof(f50,negated_conjecture,
~ ! [X21,X20,X48,X1,X0] :
( ! [X49] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48),s(X0,X49))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21),s(X0,X49)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48)))) ) ),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
! [X21,X20,X48,X1,X0] :
( ! [X49] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48),s(X0,X49))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21),s(X0,X49)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
fof(f225,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f609,plain,
! [X2,X0,X24,X25] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,sK16(X0,X2,X24,X25)))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25)))) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( ! [X6] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5),s(X0,X6))))
| s(X0,X6) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,sK8(X0,X2,X4,X6)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5))))
| ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5),s(X0,sK9(X0,X2,X4,X5)))))
& ! [X9] : s(X0,sK9(X0,X2,X4,X5)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,X9))) ) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
| ( ! [X11] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X11))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,sK10(X0,X1,X2,X3))))) ) )
& ( ! [X12] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,sK11(X0,X1,X2,X3)))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X12)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) )
& ( ! [X14] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X14))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,sK12(X0,X1,X2,X3))))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,sK13(X0,X1,X2,X3)))))
& ! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X17)))))) ) )
& ! [X18,X19] :
( ( ! [X20] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18),s(X0,X20))))
| s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,sK14(X0,X2,X19,X20)))) = s(X0,X20) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18))))
| ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18),s(X0,sK15(X0,X2,X18,X19)))))
& ! [X23] : s(X0,sK15(X0,X2,X18,X19)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,X23))) ) ) )
& ! [X24,X25] :
( ( ! [X26] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,X26))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,sK16(X0,X2,X24,X25))))))) ) )
& ! [X28,X29] :
( ( ! [X30] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(X2,X30))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(X2,sK17(X0,X2,X28,X29))))))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17])],[f204,f214,f213,f212,f211,f210,f209,f208,f207,f206,f205]) ).
fof(f205,plain,
! [X0,X2,X4,X6] :
( ? [X7] : s(X0,X6) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,X7)))
=> s(X0,X6) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,sK8(X0,X2,X4,X6)))) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
! [X0,X2,X4,X5] :
( ? [X8] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5),s(X0,X8))))
& ! [X9] : s(X0,X8) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,X9))) )
=> ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5),s(X0,sK9(X0,X2,X4,X5)))))
& ! [X9] : s(X0,sK9(X0,X2,X4,X5)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,X9))) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( ? [X10] :
( ! [X11] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X11))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X10)))) )
=> ( ! [X11] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X11))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,sK10(X0,X1,X2,X3))))) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ? [X13] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X13))))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,sK11(X0,X1,X2,X3))))))) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ? [X15] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X15))))))
=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,sK12(X0,X1,X2,X3))))))) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( ? [X16] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X16))))
& ! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X17)))))) )
=> ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,sK13(X0,X1,X2,X3)))))
& ! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X17)))))) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
! [X0,X2,X19,X20] :
( ? [X21] : s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,X21))) = s(X0,X20)
=> s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,sK14(X0,X2,X19,X20)))) = s(X0,X20) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
! [X0,X2,X18,X19] :
( ? [X22] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18),s(X0,X22))))
& ! [X23] : s(X0,X22) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,X23))) )
=> ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18),s(X0,sK15(X0,X2,X18,X19)))))
& ! [X23] : s(X0,sK15(X0,X2,X18,X19)) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,X23))) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0,X2,X24,X25] :
( ? [X27] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,X27))))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,sK16(X0,X2,X24,X25))))))) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
! [X0,X2,X28,X29] :
( ? [X31] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(X2,X31))))))
=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(X2,sK17(X0,X2,X28,X29))))))) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( ! [X6] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5),s(X0,X6))))
| ? [X7] : s(X0,X6) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,X7))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5))))
| ? [X8] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X5),s(X0,X8))))
& ! [X9] : s(X0,X8) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X4),s(X2,X9))) ) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
| ? [X10] :
( ! [X11] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X11))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X10)))) ) )
& ( ! [X12] :
( ? [X13] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X13))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X12)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) )
& ( ! [X14] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X14))))
| ? [X15] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X15)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))
| ? [X16] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X16))))
& ! [X17] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X17)))))) ) )
& ! [X18,X19] :
( ( ! [X20] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18),s(X0,X20))))
| ? [X21] : s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,X21))) = s(X0,X20) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18))))
| ? [X22] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X18),s(X0,X22))))
& ! [X23] : s(X0,X22) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X19),s(X2,X23))) ) ) )
& ! [X24,X25] :
( ( ! [X26] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,X26))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25))))
| ? [X27] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,X27)))))) ) )
& ! [X28,X29] :
( ( ! [X30] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(X2,X30))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29))))
| ? [X31] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X29),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X28),s(X2,X31)))))) ) ) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X2,X3,X1,X0] :
( ! [X15,X14] :
( ( ! [X16] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14),s(X2,X16))))
| ? [X17] : s(X2,X16) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(X1,X17))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14))))
| ? [X16] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14),s(X2,X16))))
& ! [X17] : s(X2,X16) != s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(X1,X17))) ) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
| ? [X20] :
( ! [X21] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X21))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X20)))) ) )
& ( ! [X20] :
( ? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X21))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X20)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))) )
& ( ! [X18] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X18))))
| ? [X19] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X19)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
| ? [X18] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X18))))
& ! [X19] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X19)))))) ) )
& ! [X5,X4] :
( ( ! [X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(X2,X6))))
| ? [X7] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X7))) = s(X2,X6) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5))))
| ? [X6] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(X2,X6))))
& ! [X7] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X7))) != s(X2,X6) ) ) )
& ! [X11,X12] :
( ( ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(X1,X13))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12))))
| ? [X13] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(X1,X13)))))) ) )
& ! [X9,X8] :
( ( ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(X1,X10))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8))))
| ? [X10] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(X1,X10)))))) ) ) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X2,X3,X1,X0] :
( ! [X15,X14] :
( ( ! [X16] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14),s(X2,X16))))
| ? [X17] : s(X2,X16) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(X1,X17))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14))))
| ? [X16] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14),s(X2,X16))))
& ! [X17] : s(X2,X16) != s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(X1,X17))) ) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
| ? [X20] :
( ! [X21] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X21))))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X20)))) ) )
& ( ! [X20] :
( ? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X21))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X20)))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))) )
& ( ! [X18] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X18))))
| ? [X19] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X19)))))) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
| ? [X18] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X18))))
& ! [X19] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X19)))))) ) )
& ! [X5,X4] :
( ( ! [X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(X2,X6))))
| ? [X7] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X7))) = s(X2,X6) )
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5))))
| ? [X6] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(X2,X6))))
& ! [X7] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X7))) != s(X2,X6) ) ) )
& ! [X11,X12] :
( ( ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(X1,X13))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12))))
| ? [X13] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(X1,X13)))))) ) )
& ! [X9,X8] :
( ( ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(X1,X10))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8))))
| ? [X10] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(X1,X10)))))) ) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X2,X3,X1,X0] :
( ! [X15,X14] :
( ! [X16] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14),s(X2,X16))))
| ? [X17] : s(X2,X16) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(X1,X17))) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
<=> ! [X20] :
( ? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X21))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X20)))) ) )
& ( ! [X18] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X18))))
| ? [X19] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X19)))))) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))) )
& ! [X5,X4] :
( ! [X6] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(X2,X6))))
| ? [X7] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X7))) = s(X2,X6) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5)))) )
& ! [X11,X12] :
( ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(X1,X13))))))
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12)))) )
& ! [X9,X8] :
( ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(X1,X10))))))
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8)))) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X2,X3,X1] :
( ! [X5,X4] :
( ! [X6] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(X2,X6))))
=> ? [X7] : s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,X7))) = s(X2,X6) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5)))) )
& ! [X9,X8] :
( ! [X10] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(X1,X10))))))
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X9),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X8)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0))))
<=> ! [X20] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X20))))
=> ? [X21] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X21)))))) ) )
& ! [X15,X14] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14))))
<=> ! [X16] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X14),s(X2,X16))))
=> ? [X17] : s(X2,X16) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X15),s(X1,X17))) ) )
& ! [X11,X12] :
( ! [X13] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(X1,X13))))))
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X11),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X12)))) )
& ( ! [X18] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X18))))
=> ? [X19] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,X19)))))) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X21,X0,X1,X20] :
( ! [X36,X37] :
( ! [X38] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X37),s(X1,X38))))
=> ? [X39] : s(X1,X38) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X36),s(X0,X39))) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X36),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X37)))) )
& ! [X27,X26] :
( ! [X28] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,X28))))))
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27)))) )
& ! [X29,X30] :
( ! [X31] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X30),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X29),s(X0,X31))))))
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X29),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X30)))) )
& ! [X33,X32] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X32),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X33))))
<=> ! [X34] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X33),s(X1,X34))))
=> ? [X35] : s(X1,X34) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X32),s(X0,X35))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))
<=> ! [X24] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X24))))
=> ? [X25] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X25)))))) ) )
& ( ! [X22] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X22))))
=> ? [X23] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23)))))) )
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
fof(f1091,plain,
( spl18_3
| ~ spl18_12
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f1090,f1017,f957,f872]) ).
fof(f957,plain,
( spl18_12
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f1017,plain,
( spl18_14
<=> ! [X1] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(sK1,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f1090,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ spl18_12
| ~ spl18_14 ),
inference(duplicate_literal_removal,[],[f1089]) ).
fof(f1089,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ spl18_12
| ~ spl18_14 ),
inference(forward_demodulation,[],[f1087,f959]) ).
fof(f959,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1087,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3))))
| ~ spl18_14 ),
inference(superposition,[],[f609,f1020]) ).
fof(f1020,plain,
( ! [X0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3),s(sK2,app_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(sK1,X0)))))
| ~ spl18_14 ),
inference(resolution,[],[f1018,f953]) ).
fof(f1018,plain,
( ! [X1] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(sK1,X1))))))
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1072,plain,
( spl18_17
| ~ spl18_15 ),
inference(avatar_split_clause,[],[f1067,f1042,f1069]) ).
fof(f1069,plain,
( spl18_17
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f1042,plain,
( spl18_15
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
fof(f1067,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))
| ~ spl18_15 ),
inference(resolution,[],[f1044,f231]) ).
fof(f1044,plain,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3))))
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1049,plain,
( spl18_3
| spl18_16 ),
inference(avatar_split_clause,[],[f1040,f1047,f872]) ).
fof(f1047,plain,
( spl18_16
<=> ! [X2,X1,X3] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(X1,sK2),X2),s(X1,X3)))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,sK2),X2),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
fof(f1040,plain,
! [X2,X3,X1] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(X1,sK2),X2),s(X1,X3)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,sK2),X2),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ),
inference(superposition,[],[f614,f995]) ).
fof(f614,plain,
! [X2,X3,X0,X1,X17] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(X2,X17))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X2,X0),X1),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))) ),
inference(cnf_transformation,[],[f215]) ).
fof(f1045,plain,
( spl18_3
| spl18_15
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f1039,f1017,f1042,f872]) ).
fof(f1039,plain,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ spl18_14 ),
inference(superposition,[],[f614,f1020]) ).
fof(f1019,plain,
( ~ spl18_7
| spl18_14
| ~ spl18_13 ),
inference(avatar_split_clause,[],[f1015,f975,f1017,f887]) ).
fof(f887,plain,
( spl18_7
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f975,plain,
( spl18_13
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).
fof(f1015,plain,
( ! [X1] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0),s(sK2,app_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(sK1,X1))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
| ~ spl18_13 ),
inference(superposition,[],[f610,f977]) ).
fof(f977,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0)))
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f610,plain,
! [X2,X0,X26,X24,X25] :
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X25),s(X0,app_2E2(s(tyop_2Emin_2Efun(X2,X0),X24),s(X2,X26)))))) ),
inference(cnf_transformation,[],[f215]) ).
fof(f978,plain,
( spl18_13
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f972,f902,f975]) ).
fof(f902,plain,
( spl18_9
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f972,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0)))
| ~ spl18_9 ),
inference(resolution,[],[f231,f904]) ).
fof(f904,plain,
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0))))
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f960,plain,
( spl18_12
| spl18_10 ),
inference(avatar_split_clause,[],[f952,f919,f957]) ).
fof(f919,plain,
( spl18_10
<=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
fof(f952,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))
| spl18_10 ),
inference(resolution,[],[f225,f921]) ).
fof(f921,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3))))
| spl18_10 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f947,plain,
spl18_7,
inference(avatar_split_clause,[],[f537,f887]) ).
fof(f537,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
fof(f946,plain,
( spl18_5
| spl18_2 ),
inference(avatar_split_clause,[],[f638,f868,f880]) ).
fof(f880,plain,
( spl18_5
<=> ! [X0] : p(s(tyop_2Emin_2Ebool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f868,plain,
( spl18_2
<=> ! [X2,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f638,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f458,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ( ( ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
& ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
| ( p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X2))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ( p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X2)) )
| ( p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X1)) )
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ( ( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X0)) ) )
| ( ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ) ) ) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X0,X2,X1] :
( ( ( ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
& ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
| ( p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ( p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1)) )
| ( p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ( ~ p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ( ( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) )
& ( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) )
| ( ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ) ) ) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0,X2,X1] :
( ( ( ( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) )
& ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
| ( p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) )
| ( p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1)) )
| ( p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X2)) )
| ( ~ p(s(tyop_2Emin_2Ebool,X2))
& ~ p(s(tyop_2Emin_2Ebool,X1))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ( ( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) )
& ( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) )
| ( ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ) ) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X2,X1] :
( ( p(s(tyop_2Emin_2Ebool,X0))
<=> s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) )
<=> ( ( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) )
& ( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X45,X43,X44] :
( ( p(s(tyop_2Emin_2Ebool,X45))
<=> s(tyop_2Emin_2Ebool,X44) = s(tyop_2Emin_2Ebool,X43) )
<=> ( ( p(s(tyop_2Emin_2Ebool,X43))
| ~ p(s(tyop_2Emin_2Ebool,X45))
| ~ p(s(tyop_2Emin_2Ebool,X44)) )
& ( p(s(tyop_2Emin_2Ebool,X44))
| ~ p(s(tyop_2Emin_2Ebool,X43))
| ~ p(s(tyop_2Emin_2Ebool,X45)) )
& ( p(s(tyop_2Emin_2Ebool,X44))
| p(s(tyop_2Emin_2Ebool,X43))
| p(s(tyop_2Emin_2Ebool,X45)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X43))
| ~ p(s(tyop_2Emin_2Ebool,X44))
| p(s(tyop_2Emin_2Ebool,X45)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Esat_2Edc__eq) ).
fof(f945,plain,
( spl18_5
| spl18_7 ),
inference(avatar_split_clause,[],[f344,f887,f880]) ).
fof(f344,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,X0))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,X0))
& ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,X0))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
& p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,X0))
& ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( ( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
<=> ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( ~ p(s(tyop_2Emin_2Ebool,X0))
<=> ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) )
& ( ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X7] :
( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X7)) )
<=> p(s(tyop_2Emin_2Ebool,X7)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X7))
<=> ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X7)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X7)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__CLAUSES) ).
fof(f944,plain,
( spl18_7
| spl18_5 ),
inference(avatar_split_clause,[],[f354,f880,f887]) ).
fof(f354,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f943,plain,
( spl18_11
| spl18_2 ),
inference(avatar_split_clause,[],[f292,f868,f931]) ).
fof(f931,plain,
( spl18_11
<=> ! [X2,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ( p(s(tyop_2Emin_2Ebool,X3))
& ~ p(s(tyop_2Emin_2Ebool,X2)) ) ) )
| ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
& p(s(tyop_2Emin_2Ebool,X3)) )
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X2,X0,X1,X3] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X2)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ( p(s(tyop_2Emin_2Ebool,X3))
& ~ p(s(tyop_2Emin_2Ebool,X1)) ) ) )
| ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X0)
& p(s(tyop_2Emin_2Ebool,X3)) )
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X2) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X2,X0,X1,X3] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X2)) ) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ( p(s(tyop_2Emin_2Ebool,X3))
& ~ p(s(tyop_2Emin_2Ebool,X1)) ) ) )
| ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X0)
& p(s(tyop_2Emin_2Ebool,X3)) )
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X2) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X2,X0,X1,X3] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) )
<=> ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) )
| ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X0)
& p(s(tyop_2Emin_2Ebool,X3)) )
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X2) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X3,X2,X0] :
( ( ( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) )
<=> ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) )
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X2)
| ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X0)
& p(s(tyop_2Emin_2Ebool,X3)) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X3,X2,X0] :
( ( s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,X2)
& ( p(s(tyop_2Emin_2Ebool,X3))
=> s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0) ) )
=> ( ( p(s(tyop_2Emin_2Ebool,X2))
=> p(s(tyop_2Emin_2Ebool,X0)) )
<=> ( p(s(tyop_2Emin_2Ebool,X3))
=> p(s(tyop_2Emin_2Ebool,X1)) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X18,X19,X8,X17] :
( ( ( p(s(tyop_2Emin_2Ebool,X17))
=> s(tyop_2Emin_2Ebool,X18) = s(tyop_2Emin_2Ebool,X19) )
& s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X17) )
=> ( ( p(s(tyop_2Emin_2Ebool,X17))
=> p(s(tyop_2Emin_2Ebool,X19)) )
<=> ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,X18)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__CONG) ).
fof(f942,plain,
spl18_7,
inference(avatar_split_clause,[],[f941,f887]) ).
fof(f941,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(duplicate_literal_removal,[],[f940]) ).
fof(f940,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(forward_subsumption_demodulation,[],[f604,f225]) ).
fof(f604,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ! [X0] :
( ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
( ! [X0] :
( ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
<=> p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ! [X7] :
( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ENOT__CLAUSES) ).
fof(f939,plain,
spl18_8,
inference(avatar_split_clause,[],[f324,f892]) ).
fof(f892,plain,
( spl18_8
<=> ! [X2,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
fof(f324,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0)
| ( ( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) )
& ( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0)) ) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X1,X0] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0)
| ( ( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) )
& ( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) ) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0)
| ( p(s(tyop_2Emin_2Ebool,X1))
<~> p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X1))
<=> p(s(tyop_2Emin_2Ebool,X0)) )
=> s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X6,X5] :
( ( p(s(tyop_2Emin_2Ebool,X5))
<=> p(s(tyop_2Emin_2Ebool,X6)) )
=> s(tyop_2Emin_2Ebool,X5) = s(tyop_2Emin_2Ebool,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Eboolext) ).
fof(f938,plain,
( ~ spl18_3
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f602,f887,f872]) ).
fof(f602,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f937,plain,
spl18_6,
inference(avatar_split_clause,[],[f325,f883]) ).
fof(f883,plain,
( spl18_6
<=> ! [X2,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f325,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f936,plain,
spl18_7,
inference(avatar_split_clause,[],[f935,f887]) ).
fof(f935,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(duplicate_literal_removal,[],[f934]) ).
fof(f934,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(forward_subsumption_demodulation,[],[f601,f225]) ).
fof(f601,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f933,plain,
( spl18_11
| spl18_2 ),
inference(avatar_split_clause,[],[f294,f868,f931]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f929,plain,
( spl18_4
| spl18_8 ),
inference(avatar_split_clause,[],[f702,f892,f876]) ).
fof(f876,plain,
( spl18_4
<=> ! [X0] : ~ p(s(tyop_2Emin_2Ebool,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f702,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f432,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f928,plain,
( spl18_2
| spl18_5 ),
inference(avatar_split_clause,[],[f713,f880,f868]) ).
fof(f713,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f535,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f927,plain,
( spl18_2
| spl18_4 ),
inference(avatar_split_clause,[],[f715,f876,f868]) ).
fof(f715,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f926,plain,
( spl18_4
| spl18_2 ),
inference(avatar_split_clause,[],[f716,f868,f876]) ).
fof(f716,plain,
! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f370,plain,
! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f925,plain,
( spl18_5
| spl18_2 ),
inference(avatar_split_clause,[],[f727,f868,f880]) ).
fof(f727,plain,
! [X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f291,plain,
! [X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f924,plain,
( spl18_7
| spl18_4 ),
inference(avatar_split_clause,[],[f353,f876,f887]) ).
fof(f353,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f923,plain,
( spl18_5
| spl18_2 ),
inference(avatar_split_clause,[],[f734,f868,f880]) ).
fof(f734,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2) ),
inference(duplicate_literal_removal,[],[f461]) ).
fof(f461,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f922,plain,
~ spl18_10,
inference(avatar_split_clause,[],[f241,f919]) ).
fof(f241,plain,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK3)))),
inference(cnf_transformation,[],[f136]) ).
fof(f917,plain,
( spl18_4
| spl18_7 ),
inference(avatar_split_clause,[],[f349,f887,f876]) ).
fof(f349,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f916,plain,
( spl18_4
| spl18_6 ),
inference(avatar_split_clause,[],[f746,f883,f876]) ).
fof(f746,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f915,plain,
( spl18_4
| spl18_6 ),
inference(avatar_split_clause,[],[f755,f883,f876]) ).
fof(f755,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f914,plain,
spl18_7,
inference(avatar_split_clause,[],[f913,f887]) ).
fof(f913,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f912,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(forward_subsumption_demodulation,[],[f350,f225]) ).
fof(f350,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f911,plain,
( spl18_2
| spl18_5 ),
inference(avatar_split_clause,[],[f791,f880,f868]) ).
fof(f791,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(duplicate_literal_removal,[],[f481]) ).
fof(f481,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f910,plain,
( spl18_7
| spl18_5 ),
inference(avatar_split_clause,[],[f341,f880,f887]) ).
fof(f341,plain,
! [X0] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f909,plain,
spl18_7,
inference(avatar_split_clause,[],[f331,f887]) ).
fof(f331,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
fof(f908,plain,
( spl18_4
| spl18_8 ),
inference(avatar_split_clause,[],[f802,f892,f876]) ).
fof(f802,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f441,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f907,plain,
~ spl18_3,
inference(avatar_split_clause,[],[f308,f872]) ).
fof(f308,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
fof(f906,plain,
( spl18_2
| spl18_1 ),
inference(avatar_split_clause,[],[f296,f865,f868]) ).
fof(f865,plain,
( spl18_1
<=> ! [X0,X3] :
( s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f905,plain,
spl18_9,
inference(avatar_split_clause,[],[f242,f902]) ).
fof(f242,plain,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK1,sK2),sK4),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK0)))),
inference(cnf_transformation,[],[f136]) ).
fof(f900,plain,
( spl18_4
| spl18_8 ),
inference(avatar_split_clause,[],[f812,f892,f876]) ).
fof(f812,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(duplicate_literal_removal,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f899,plain,
( ~ spl18_7
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f603,f872,f887]) ).
fof(f603,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(cnf_transformation,[],[f201]) ).
fof(f898,plain,
( spl18_4
| spl18_2
| spl18_5 ),
inference(avatar_split_clause,[],[f289,f880,f868,f876]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f897,plain,
( spl18_5
| spl18_2 ),
inference(avatar_split_clause,[],[f827,f868,f880]) ).
fof(f827,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f464,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f896,plain,
( spl18_5
| spl18_2 ),
inference(avatar_split_clause,[],[f832,f868,f880]) ).
fof(f832,plain,
! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(duplicate_literal_removal,[],[f508]) ).
fof(f508,plain,
! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f895,plain,
( spl18_4
| spl18_6 ),
inference(avatar_split_clause,[],[f840,f883,f876]) ).
fof(f840,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
inference(duplicate_literal_removal,[],[f411]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f894,plain,
( spl18_5
| spl18_8 ),
inference(avatar_split_clause,[],[f847,f892,f880]) ).
fof(f847,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f367,plain,
! [X2,X0,X1] :
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f890,plain,
( spl18_5
| ~ spl18_3
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f351,f887,f872,f880]) ).
fof(f351,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f885,plain,
( spl18_5
| spl18_6 ),
inference(avatar_split_clause,[],[f849,f883,f880]) ).
fof(f849,plain,
! [X2,X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(duplicate_literal_removal,[],[f371]) ).
fof(f371,plain,
! [X2,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f878,plain,
( ~ spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f347,f876,f872]) ).
fof(f347,plain,
! [X0] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f870,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f290,f868,f865]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| s(tyop_2Emin_2Ebool,X3) != s(tyop_2Emin_2Ebool,X0)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X0)) ),
inference(cnf_transformation,[],[f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP006+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 23:51:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (727)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (716)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (728)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (744)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (720)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (724)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (745)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (739)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (734)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (718)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (738)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (741)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (715)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (723)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (726)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (729)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (723)Instruction limit reached!
% 0.19/0.53 % (723)------------------------------
% 0.19/0.53 % (723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (723)Termination reason: Unknown
% 0.19/0.53 % (723)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (723)Memory used [KB]: 1023
% 0.19/0.53 % (723)Time elapsed: 0.003 s
% 0.19/0.53 % (723)Instructions burned: 4 (million)
% 0.19/0.53 % (723)------------------------------
% 0.19/0.53 % (723)------------------------------
% 0.19/0.53 % (719)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (721)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (736)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (717)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (735)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (730)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54 % (733)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (740)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (732)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (742)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (731)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (722)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (725)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (722)Instruction limit reached!
% 0.19/0.54 % (722)------------------------------
% 0.19/0.54 % (722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (722)Termination reason: Unknown
% 0.19/0.54 % (722)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (722)Memory used [KB]: 5628
% 0.19/0.54 % (722)Time elapsed: 0.005 s
% 0.19/0.54 % (722)Instructions burned: 9 (million)
% 0.19/0.54 % (722)------------------------------
% 0.19/0.54 % (722)------------------------------
% 0.19/0.55 % (743)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.59 % (717)Instruction limit reached!
% 0.19/0.59 % (717)------------------------------
% 0.19/0.59 % (717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (717)Termination reason: Unknown
% 0.19/0.59 % (717)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (717)Memory used [KB]: 1407
% 0.19/0.59 % (717)Time elapsed: 0.171 s
% 0.19/0.59 % (717)Instructions burned: 38 (million)
% 0.19/0.59 % (717)------------------------------
% 0.19/0.59 % (717)------------------------------
% 0.19/0.59 % (720)Instruction limit reached!
% 0.19/0.59 % (720)------------------------------
% 0.19/0.59 % (720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (720)Termination reason: Unknown
% 0.19/0.59 % (720)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (720)Memory used [KB]: 6268
% 0.19/0.59 % (720)Time elapsed: 0.173 s
% 0.19/0.59 % (720)Instructions burned: 48 (million)
% 0.19/0.59 % (720)------------------------------
% 0.19/0.59 % (720)------------------------------
% 0.19/0.59 % (716)Instruction limit reached!
% 0.19/0.59 % (716)------------------------------
% 0.19/0.59 % (716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (716)Termination reason: Unknown
% 0.19/0.59 % (716)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (716)Memory used [KB]: 6268
% 0.19/0.59 % (716)Time elapsed: 0.167 s
% 0.19/0.59 % (716)Instructions burned: 51 (million)
% 0.19/0.59 % (716)------------------------------
% 0.19/0.59 % (716)------------------------------
% 1.89/0.60 % (718)Instruction limit reached!
% 1.89/0.60 % (718)------------------------------
% 1.89/0.60 % (718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (718)Termination reason: Unknown
% 1.89/0.60 % (718)Termination phase: Saturation
% 1.89/0.60
% 1.89/0.60 % (718)Memory used [KB]: 6140
% 1.89/0.60 % (718)Time elapsed: 0.191 s
% 1.89/0.60 % (718)Instructions burned: 51 (million)
% 1.89/0.60 % (718)------------------------------
% 1.89/0.60 % (718)------------------------------
% 1.89/0.61 % (719)Instruction limit reached!
% 1.89/0.61 % (719)------------------------------
% 1.89/0.61 % (719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (719)Termination reason: Unknown
% 1.89/0.61 % (719)Termination phase: Saturation
% 1.89/0.61
% 1.89/0.61 % (719)Memory used [KB]: 6012
% 1.89/0.61 % (719)Time elapsed: 0.194 s
% 1.89/0.61 % (719)Instructions burned: 51 (million)
% 1.89/0.61 % (719)------------------------------
% 1.89/0.61 % (719)------------------------------
% 1.89/0.62 % (725)Instruction limit reached!
% 1.89/0.62 % (725)------------------------------
% 1.89/0.62 % (725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (725)Termination reason: Unknown
% 1.89/0.62 % (725)Termination phase: Saturation
% 1.89/0.62
% 1.89/0.62 % (725)Memory used [KB]: 6268
% 1.89/0.62 % (725)Time elapsed: 0.209 s
% 1.89/0.62 % (725)Instructions burned: 50 (million)
% 1.89/0.62 % (725)------------------------------
% 1.89/0.62 % (725)------------------------------
% 1.89/0.62 % (732)Instruction limit reached!
% 1.89/0.62 % (732)------------------------------
% 1.89/0.62 % (732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.62 % (732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.62 % (732)Termination reason: Unknown
% 1.89/0.62 % (732)Termination phase: Finite model building preprocessing
% 1.89/0.62
% 1.89/0.62 % (732)Memory used [KB]: 2046
% 1.89/0.62 % (732)Time elapsed: 0.028 s
% 1.89/0.62 % (732)Instructions burned: 59 (million)
% 1.89/0.62 % (732)------------------------------
% 1.89/0.62 % (732)------------------------------
% 2.12/0.62 % (721)Instruction limit reached!
% 2.12/0.62 % (721)------------------------------
% 2.12/0.62 % (721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62 % (721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62 % (721)Termination reason: Unknown
% 2.12/0.62 % (721)Termination phase: Finite model building preprocessing
% 2.12/0.62
% 2.12/0.62 % (721)Memory used [KB]: 2174
% 2.12/0.62 % (721)Time elapsed: 0.023 s
% 2.12/0.62 % (721)Instructions burned: 51 (million)
% 2.12/0.62 % (721)------------------------------
% 2.12/0.62 % (721)------------------------------
% 2.12/0.62 % (724)Instruction limit reached!
% 2.12/0.62 % (724)------------------------------
% 2.12/0.62 % (724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62 % (724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62 % (724)Termination reason: Unknown
% 2.12/0.62 % (724)Termination phase: Saturation
% 2.12/0.62
% 2.12/0.62 % (724)Memory used [KB]: 1663
% 2.12/0.62 % (724)Time elapsed: 0.228 s
% 2.12/0.62 % (724)Instructions burned: 51 (million)
% 2.12/0.62 % (724)------------------------------
% 2.12/0.62 % (724)------------------------------
% 2.20/0.64 % (730)Instruction limit reached!
% 2.20/0.64 % (730)------------------------------
% 2.20/0.64 % (730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65 % (729)Instruction limit reached!
% 2.20/0.65 % (729)------------------------------
% 2.20/0.65 % (729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66 % (727)Instruction limit reached!
% 2.20/0.66 % (727)------------------------------
% 2.20/0.66 % (727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66 % (729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66 % (729)Termination reason: Unknown
% 2.20/0.66 % (729)Termination phase: Saturation
% 2.20/0.66
% 2.20/0.66 % (729)Memory used [KB]: 6652
% 2.20/0.66 % (729)Time elapsed: 0.036 s
% 2.20/0.66 % (729)Instructions burned: 69 (million)
% 2.20/0.66 % (729)------------------------------
% 2.20/0.66 % (729)------------------------------
% 2.20/0.66 % (730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66 % (730)Termination reason: Unknown
% 2.20/0.66 % (730)Termination phase: Saturation
% 2.20/0.66
% 2.20/0.66 % (730)Memory used [KB]: 1791
% 2.20/0.66 % (730)Time elapsed: 0.248 s
% 2.20/0.66 % (730)Instructions burned: 76 (million)
% 2.20/0.66 % (730)------------------------------
% 2.20/0.66 % (730)------------------------------
% 2.20/0.67 % (746)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.20/0.67 % (742)Instruction limit reached!
% 2.20/0.67 % (742)------------------------------
% 2.20/0.67 % (742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67 % (742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67 % (742)Termination reason: Unknown
% 2.20/0.67 % (742)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (742)Memory used [KB]: 6652
% 2.20/0.67 % (742)Time elapsed: 0.048 s
% 2.20/0.67 % (742)Instructions burned: 68 (million)
% 2.20/0.67 % (742)------------------------------
% 2.20/0.67 % (742)------------------------------
% 2.20/0.67 % (728)Instruction limit reached!
% 2.20/0.67 % (728)------------------------------
% 2.20/0.67 % (728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67 % (734)Instruction limit reached!
% 2.20/0.67 % (734)------------------------------
% 2.20/0.67 % (734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67 % (728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67 % (728)Termination reason: Unknown
% 2.20/0.67 % (734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67 % (728)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (734)Termination reason: Unknown
% 2.20/0.67 % (734)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (728)Memory used [KB]: 6396
% 2.20/0.67 % (728)Time elapsed: 0.280 s
% 2.20/0.67 % (734)Memory used [KB]: 1791
% 2.20/0.67 % (728)Instructions burned: 101 (million)
% 2.20/0.67 % (734)Time elapsed: 0.282 s
% 2.20/0.67 % (728)------------------------------
% 2.20/0.67 % (728)------------------------------
% 2.20/0.67 % (734)Instructions burned: 101 (million)
% 2.20/0.67 % (734)------------------------------
% 2.20/0.67 % (734)------------------------------
% 2.20/0.67 % (727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67 % (727)Termination reason: Unknown
% 2.20/0.67 % (727)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (727)Memory used [KB]: 6396
% 2.20/0.67 % (727)Time elapsed: 0.258 s
% 2.20/0.67 % (727)Instructions burned: 102 (million)
% 2.20/0.67 % (727)------------------------------
% 2.20/0.67 % (727)------------------------------
% 2.20/0.69 % (731)Instruction limit reached!
% 2.20/0.69 % (731)------------------------------
% 2.20/0.69 % (731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.70 % (726)Instruction limit reached!
% 2.20/0.70 % (726)------------------------------
% 2.20/0.70 % (726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.70 % (726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.70 % (726)Termination reason: Unknown
% 2.20/0.70 % (726)Termination phase: Saturation
% 2.20/0.70
% 2.20/0.70 % (726)Memory used [KB]: 7419
% 2.20/0.70 % (726)Time elapsed: 0.285 s
% 2.20/0.70 % (726)Instructions burned: 100 (million)
% 2.20/0.70 % (726)------------------------------
% 2.20/0.70 % (726)------------------------------
% 2.20/0.70 % (733)Instruction limit reached!
% 2.20/0.70 % (733)------------------------------
% 2.20/0.70 % (733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.70 % (733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.70 % (733)Termination reason: Unknown
% 2.20/0.70 % (733)Termination phase: Saturation
% 2.20/0.70
% 2.20/0.70 % (733)Memory used [KB]: 6524
% 2.20/0.70 % (733)Time elapsed: 0.288 s
% 2.20/0.70 % (733)Instructions burned: 100 (million)
% 2.20/0.70 % (733)------------------------------
% 2.20/0.70 % (733)------------------------------
% 2.20/0.70 % (731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.70 % (731)Termination reason: Unknown
% 2.20/0.70 % (731)Termination phase: Saturation
% 2.20/0.70
% 2.20/0.70 % (731)Memory used [KB]: 6652
% 2.20/0.70 % (731)Time elapsed: 0.273 s
% 2.20/0.70 % (731)Instructions burned: 100 (million)
% 2.20/0.70 % (731)------------------------------
% 2.20/0.70 % (731)------------------------------
% 2.20/0.71 % (751)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.20/0.71 % (747)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.64/0.72 % (749)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.64/0.73 % (736)Instruction limit reached!
% 2.64/0.73 % (736)------------------------------
% 2.64/0.73 % (736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.73 % (736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.73 % (736)Termination reason: Unknown
% 2.64/0.73 % (736)Termination phase: Saturation
% 2.64/0.73
% 2.64/0.73 % (736)Memory used [KB]: 6908
% 2.64/0.73 % (736)Time elapsed: 0.335 s
% 2.64/0.73 % (736)Instructions burned: 139 (million)
% 2.64/0.73 % (736)------------------------------
% 2.64/0.73 % (736)------------------------------
% 2.64/0.73 % (748)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.64/0.74 TRYING [1]
% 2.64/0.75 % (750)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.64/0.75 % (752)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.64/0.75 % (754)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.64/0.75 % (757)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.64/0.75 % (753)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.64/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.64/0.76 % (755)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.64/0.77 TRYING [2]
% 2.85/0.78 % (735)Instruction limit reached!
% 2.85/0.78 % (735)------------------------------
% 2.85/0.78 % (735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.78 % (735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.78 % (735)Termination reason: Unknown
% 2.85/0.78 % (735)Termination phase: Saturation
% 2.85/0.78
% 2.85/0.78 % (735)Memory used [KB]: 6524
% 2.85/0.78 % (735)Time elapsed: 0.378 s
% 2.85/0.78 % (735)Instructions burned: 178 (million)
% 2.85/0.78 % (735)------------------------------
% 2.85/0.78 % (735)------------------------------
% 2.85/0.80 % (759)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.85/0.80 % (762)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.85/0.81 % (761)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.85/0.81 % (764)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.85/0.81 % (763)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.85/0.81 % (760)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.85/0.81 % (765)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.85/0.81 % (758)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.85/0.84 % (766)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.85/0.85 % (743)Instruction limit reached!
% 2.85/0.85 % (743)------------------------------
% 2.85/0.85 % (743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.85 % (743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.85 % (743)Termination reason: Unknown
% 2.85/0.85 % (743)Termination phase: Saturation
% 2.85/0.85
% 2.85/0.85 % (743)Memory used [KB]: 2942
% 2.85/0.85 % (743)Time elapsed: 0.432 s
% 2.85/0.85 % (743)Instructions burned: 179 (million)
% 2.85/0.85 % (743)------------------------------
% 2.85/0.85 % (743)------------------------------
% 3.06/0.87 % (768)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.06/0.87 % (753)Instruction limit reached!
% 3.06/0.87 % (753)------------------------------
% 3.06/0.87 % (753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.87 % (753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.87 % (753)Termination reason: Unknown
% 3.06/0.87 % (753)Termination phase: Saturation
% 3.06/0.87
% 3.06/0.87 % (753)Memory used [KB]: 6652
% 3.06/0.87 % (753)Time elapsed: 0.033 s
% 3.06/0.87 % (753)Instructions burned: 69 (million)
% 3.06/0.87 % (753)------------------------------
% 3.06/0.87 % (753)------------------------------
% 3.06/0.88 % (748)Instruction limit reached!
% 3.06/0.88 % (748)------------------------------
% 3.06/0.88 % (748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.88 % (748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.88 % (748)Termination reason: Unknown
% 3.06/0.88 % (748)Termination phase: Saturation
% 3.06/0.88
% 3.06/0.88 % (748)Memory used [KB]: 6524
% 3.06/0.88 % (748)Time elapsed: 0.255 s
% 3.06/0.88 % (748)Instructions burned: 91 (million)
% 3.06/0.88 % (748)------------------------------
% 3.06/0.88 % (748)------------------------------
% 3.25/0.89 % (764)Instruction limit reached!
% 3.25/0.89 % (764)------------------------------
% 3.25/0.89 % (764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.89 % (764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.89 % (764)Termination reason: Unknown
% 3.25/0.89 % (764)Termination phase: Saturation
% 3.25/0.89
% 3.25/0.89 % (764)Memory used [KB]: 6780
% 3.25/0.89 % (764)Time elapsed: 0.086 s
% 3.25/0.89 % (764)Instructions burned: 69 (million)
% 3.25/0.89 % (764)------------------------------
% 3.25/0.89 % (764)------------------------------
% 3.25/0.91 % (757)Instruction limit reached!
% 3.25/0.91 % (757)------------------------------
% 3.25/0.91 % (757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.91 % (757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.91 % (757)Termination reason: Unknown
% 3.25/0.91 % (757)Termination phase: Saturation
% 3.25/0.91
% 3.25/0.91 % (757)Memory used [KB]: 6396
% 3.25/0.91 % (757)Time elapsed: 0.228 s
% 3.25/0.91 % (757)Instructions burned: 91 (million)
% 3.25/0.91 % (757)------------------------------
% 3.25/0.91 % (757)------------------------------
% 3.50/0.92 % (769)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.53/0.98 % (770)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.53/1.00 % (774)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.53/1.00 % (775)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.69/1.02 % (747)Instruction limit reached!
% 3.69/1.02 % (747)------------------------------
% 3.69/1.02 % (747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.69/1.02 % (747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.69/1.02 % (747)Termination reason: Unknown
% 3.69/1.02 % (747)Termination phase: Saturation
% 3.69/1.02
% 3.69/1.02 % (747)Memory used [KB]: 2174
% 3.69/1.02 % (747)Time elapsed: 0.437 s
% 3.69/1.02 % (747)Instructions burned: 211 (million)
% 3.69/1.02 % (747)------------------------------
% 3.69/1.02 % (747)------------------------------
% 3.69/1.02 % (776)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.69/1.05 % (778)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 3.69/1.06 % (745)Instruction limit reached!
% 3.69/1.06 % (745)------------------------------
% 3.69/1.06 % (745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.69/1.06 % (745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.69/1.06 % (745)Termination reason: Unknown
% 3.69/1.06 % (745)Termination phase: Saturation
% 3.69/1.06
% 3.69/1.06 % (745)Memory used [KB]: 7547
% 3.69/1.06 % (745)Time elapsed: 0.667 s
% 3.69/1.06 % (745)Instructions burned: 357 (million)
% 3.69/1.06 % (745)------------------------------
% 3.69/1.06 % (745)------------------------------
% 3.84/1.12 % (760)First to succeed.
% 3.84/1.12 % (770)Instruction limit reached!
% 3.84/1.12 % (770)------------------------------
% 3.84/1.12 % (770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.12 % (770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.12 % (770)Termination reason: Unknown
% 3.84/1.12 % (770)Termination phase: Saturation
% 3.84/1.12
% 3.84/1.12 % (770)Memory used [KB]: 6524
% 3.84/1.12 % (770)Time elapsed: 0.263 s
% 3.84/1.12 % (770)Instructions burned: 91 (million)
% 3.84/1.12 % (770)------------------------------
% 3.84/1.12 % (770)------------------------------
% 3.84/1.13 % (744)Instruction limit reached!
% 3.84/1.13 % (744)------------------------------
% 3.84/1.13 % (744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.13 % (744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.13 % (744)Termination reason: Unknown
% 3.84/1.13 % (744)Termination phase: Saturation
% 3.84/1.13
% 3.84/1.13 % (744)Memory used [KB]: 6908
% 3.84/1.13 % (744)Time elapsed: 0.703 s
% 3.84/1.13 % (744)Instructions burned: 441 (million)
% 3.84/1.13 % (744)------------------------------
% 3.84/1.13 % (744)------------------------------
% 3.84/1.13 TRYING [3]
% 3.84/1.14 % (760)Refutation found. Thanks to Tanya!
% 3.84/1.14 % SZS status Theorem for theBenchmark
% 3.84/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.14 % (760)------------------------------
% 3.84/1.14 % (760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.14 % (760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.14 % (760)Termination reason: Refutation
% 3.84/1.14
% 3.84/1.14 % (760)Memory used [KB]: 1918
% 3.84/1.14 % (760)Time elapsed: 0.415 s
% 3.84/1.14 % (760)Instructions burned: 222 (million)
% 3.84/1.14 % (760)------------------------------
% 3.84/1.14 % (760)------------------------------
% 3.84/1.14 % (714)Success in time 0.8 s
%------------------------------------------------------------------------------