TSTP Solution File: SEU301+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU301+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n008.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 18:33:06 EDT 2022
% Result : Theorem 3.84s 1.08s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 56
% Syntax : Number of formulae : 290 ( 9 unt; 0 def)
% Number of atoms : 1800 ( 331 equ)
% Maximal formula atoms : 49 ( 6 avg)
% Number of connectives : 2501 ( 991 ~; 978 |; 371 &)
% ( 27 <=>; 134 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 25 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 5 con; 0-2 aty)
% Number of variables : 562 ( 456 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5740,plain,
$false,
inference(avatar_sat_refutation,[],[f396,f405,f409,f413,f417,f421,f426,f430,f435,f941,f1050,f1194,f3231,f3827,f3896,f3945,f4517,f4531,f4537,f4539,f4540,f5118,f5176,f5739]) ).
fof(f5739,plain,
( ~ spl45_2
| spl45_241
| ~ spl45_242
| ~ spl45_278 ),
inference(avatar_contradiction_clause,[],[f5738]) ).
fof(f5738,plain,
( $false
| ~ spl45_2
| spl45_241
| ~ spl45_242
| ~ spl45_278 ),
inference(subsumption_resolution,[],[f5737,f3406]) ).
fof(f3406,plain,
( in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ spl45_242 ),
inference(avatar_component_clause,[],[f3404]) ).
fof(f3404,plain,
( spl45_242
<=> in(sK33(sK11(empty_set)),sK11(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_242])]) ).
fof(f5737,plain,
( ~ in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ spl45_2
| spl45_241
| ~ spl45_278 ),
inference(subsumption_resolution,[],[f5736,f3816]) ).
fof(f3816,plain,
( sP0(empty_set)
| ~ spl45_278 ),
inference(avatar_component_clause,[],[f3815]) ).
fof(f3815,plain,
( spl45_278
<=> sP0(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_278])]) ).
fof(f5736,plain,
( ~ sP0(empty_set)
| ~ in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ spl45_2
| spl45_241
| ~ spl45_278 ),
inference(duplicate_literal_removal,[],[f5735]) ).
fof(f5735,plain,
( ~ sP0(empty_set)
| ~ in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ sP0(empty_set)
| ~ in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ spl45_2
| spl45_241
| ~ spl45_278 ),
inference(resolution,[],[f5580,f237]) ).
fof(f237,plain,
! [X2,X0] :
( in(sK12(X0,X2),sK11(X0))
| ~ sP0(X0)
| ~ in(X2,sK11(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( empty_set != sK11(X0)
& ! [X2] :
( ( in(sK12(X0,X2),sK11(X0))
& subset(X2,sK12(X0,X2))
& sK12(X0,X2) != X2 )
| ~ in(X2,sK11(X0)) )
& element(sK11(X0),powerset(powerset(X0))) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f138,f140,f139]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( empty_set != X1
& ! [X2] :
( ? [X3] :
( in(X3,X1)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,X1) )
& element(X1,powerset(powerset(X0))) )
=> ( empty_set != sK11(X0)
& ! [X2] :
( ? [X3] :
( in(X3,sK11(X0))
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,sK11(X0)) )
& element(sK11(X0),powerset(powerset(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X2] :
( ? [X3] :
( in(X3,sK11(X0))
& subset(X2,X3)
& X2 != X3 )
=> ( in(sK12(X0,X2),sK11(X0))
& subset(X2,sK12(X0,X2))
& sK12(X0,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( empty_set != X1
& ! [X2] :
( ? [X3] :
( in(X3,X1)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,X1) )
& element(X1,powerset(powerset(X0))) )
| ~ sP0(X0) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ? [X5] :
( empty_set != X5
& ! [X6] :
( ? [X7] :
( in(X7,X5)
& subset(X6,X7)
& X6 != X7 )
| ~ in(X6,X5) )
& element(X5,powerset(powerset(X0))) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ? [X5] :
( empty_set != X5
& ! [X6] :
( ? [X7] :
( in(X7,X5)
& subset(X6,X7)
& X6 != X7 )
| ~ in(X6,X5) )
& element(X5,powerset(powerset(X0))) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5580,plain,
( ! [X0] :
( ~ in(sK12(X0,sK33(sK11(empty_set))),sK11(empty_set))
| ~ in(sK33(sK11(empty_set)),sK11(X0))
| ~ sP0(X0) )
| ~ spl45_2
| spl45_241
| ~ spl45_278 ),
inference(subsumption_resolution,[],[f5576,f235]) ).
fof(f235,plain,
! [X2,X0] :
( ~ in(X2,sK11(X0))
| sK12(X0,X2) != X2
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f5576,plain,
( ! [X0] :
( sK33(sK11(empty_set)) = sK12(X0,sK33(sK11(empty_set)))
| ~ sP0(X0)
| ~ in(sK12(X0,sK33(sK11(empty_set))),sK11(empty_set))
| ~ in(sK33(sK11(empty_set)),sK11(X0)) )
| ~ spl45_2
| spl45_241
| ~ spl45_278 ),
inference(resolution,[],[f4705,f236]) ).
fof(f236,plain,
! [X2,X0] :
( subset(X2,sK12(X0,X2))
| ~ sP0(X0)
| ~ in(X2,sK11(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f4705,plain,
( ! [X4] :
( ~ subset(sK33(sK11(empty_set)),X4)
| ~ in(X4,sK11(empty_set))
| sK33(sK11(empty_set)) = X4 )
| ~ spl45_2
| spl45_241
| ~ spl45_278 ),
inference(subsumption_resolution,[],[f4704,f3816]) ).
fof(f4704,plain,
( ! [X4] :
( ~ subset(sK33(sK11(empty_set)),X4)
| ~ in(X4,sK11(empty_set))
| ~ sP0(empty_set)
| sK33(sK11(empty_set)) = X4 )
| ~ spl45_2
| spl45_241 ),
inference(subsumption_resolution,[],[f4691,f3401]) ).
fof(f3401,plain,
( empty_set != sK11(empty_set)
| spl45_241 ),
inference(avatar_component_clause,[],[f3400]) ).
fof(f3400,plain,
( spl45_241
<=> empty_set = sK11(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_241])]) ).
fof(f4691,plain,
( ! [X4] :
( ~ subset(sK33(sK11(empty_set)),X4)
| empty_set = sK11(empty_set)
| sK33(sK11(empty_set)) = X4
| ~ in(X4,sK11(empty_set))
| ~ sP0(empty_set) )
| ~ spl45_2 ),
inference(resolution,[],[f395,f234]) ).
fof(f234,plain,
! [X0] :
( element(sK11(X0),powerset(powerset(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f395,plain,
( ! [X6,X4] :
( ~ element(X4,powerset(powerset(empty_set)))
| ~ subset(sK33(X4),X6)
| ~ in(X6,X4)
| empty_set = X4
| sK33(X4) = X6 )
| ~ spl45_2 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl45_2
<=> ! [X6,X4] :
( ~ subset(sK33(X4),X6)
| sK33(X4) = X6
| ~ in(X6,X4)
| empty_set = X4
| ~ element(X4,powerset(powerset(empty_set))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_2])]) ).
fof(f5176,plain,
( spl45_1
| ~ spl45_9
| ~ spl45_153 ),
inference(avatar_split_clause,[],[f3860,f2194,f423,f390]) ).
fof(f390,plain,
( spl45_1
<=> in(empty_set,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_1])]) ).
fof(f423,plain,
( spl45_9
<=> in(sK9,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_9])]) ).
fof(f2194,plain,
( spl45_153
<=> empty_set = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl45_153])]) ).
fof(f3860,plain,
( in(empty_set,omega)
| ~ spl45_9
| ~ spl45_153 ),
inference(backward_demodulation,[],[f425,f2196]) ).
fof(f2196,plain,
( empty_set = sK9
| ~ spl45_153 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f425,plain,
( in(sK9,omega)
| ~ spl45_9 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f5118,plain,
( ~ spl45_9
| ~ spl45_11
| spl45_202
| ~ spl45_203
| ~ spl45_255
| ~ spl45_327 ),
inference(avatar_contradiction_clause,[],[f5117]) ).
fof(f5117,plain,
( $false
| ~ spl45_9
| ~ spl45_11
| spl45_202
| ~ spl45_203
| ~ spl45_255
| ~ spl45_327 ),
inference(subsumption_resolution,[],[f5116,f434]) ).
fof(f434,plain,
( sP0(sK9)
| ~ spl45_11 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl45_11
<=> sP0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_11])]) ).
fof(f5116,plain,
( ~ sP0(sK9)
| ~ spl45_9
| ~ spl45_11
| spl45_202
| ~ spl45_203
| ~ spl45_255
| ~ spl45_327 ),
inference(subsumption_resolution,[],[f5090,f4479]) ).
fof(f4479,plain,
( sP44(sK11(sK9))
| ~ spl45_327 ),
inference(avatar_component_clause,[],[f4477]) ).
fof(f4477,plain,
( spl45_327
<=> sP44(sK11(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_327])]) ).
fof(f5090,plain,
( ~ sP44(sK11(sK9))
| ~ sP0(sK9)
| ~ spl45_9
| ~ spl45_11
| spl45_202
| ~ spl45_203
| ~ spl45_255 ),
inference(resolution,[],[f5046,f2433]) ).
fof(f2433,plain,
! [X1] :
( ~ in(sK35(sK11(X1)),sK11(X1))
| ~ sP44(sK11(X1))
| ~ sP0(X1) ),
inference(subsumption_resolution,[],[f2432,f238]) ).
fof(f238,plain,
! [X0] :
( ~ sP0(X0)
| empty_set != sK11(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f2432,plain,
! [X1] :
( ~ in(sK35(sK11(X1)),sK11(X1))
| ~ sP44(sK11(X1))
| ~ sP0(X1)
| empty_set = sK11(X1) ),
inference(duplicate_literal_removal,[],[f2431]) ).
fof(f2431,plain,
! [X1] :
( ~ in(sK35(sK11(X1)),sK11(X1))
| ~ sP0(X1)
| ~ sP44(sK11(X1))
| ~ sP0(X1)
| empty_set = sK11(X1)
| ~ in(sK35(sK11(X1)),sK11(X1)) ),
inference(resolution,[],[f1075,f237]) ).
fof(f1075,plain,
! [X2,X1] :
( ~ in(sK12(X1,sK35(X2)),X2)
| ~ sP44(X2)
| ~ in(sK35(X2),sK11(X1))
| empty_set = X2
| ~ sP0(X1) ),
inference(subsumption_resolution,[],[f1069,f235]) ).
fof(f1069,plain,
! [X2,X1] :
( ~ sP0(X1)
| sK12(X1,sK35(X2)) = sK35(X2)
| ~ sP44(X2)
| empty_set = X2
| ~ in(sK35(X2),sK11(X1))
| ~ in(sK12(X1,sK35(X2)),X2) ),
inference(resolution,[],[f388,f236]) ).
fof(f388,plain,
! [X14,X12] :
( ~ subset(sK35(X12),X14)
| ~ in(X14,X12)
| sK35(X12) = X14
| ~ sP44(X12)
| empty_set = X12 ),
inference(general_splitting,[],[f377,f387_D]) ).
fof(f387,plain,
! [X11,X12] :
( ~ element(X12,powerset(powerset(set_union2(X11,singleton(X11)))))
| ~ ordinal(X11)
| sP2(X11)
| ~ in(set_union2(X11,singleton(X11)),omega)
| sP44(X12) ),
inference(cnf_transformation,[],[f387_D]) ).
fof(f387_D,plain,
! [X12] :
( ! [X11] :
( ~ element(X12,powerset(powerset(set_union2(X11,singleton(X11)))))
| ~ ordinal(X11)
| sP2(X11)
| ~ in(set_union2(X11,singleton(X11)),omega) )
<=> ~ sP44(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP44])]) ).
fof(f377,plain,
! [X11,X14,X12] :
( ~ ordinal(X11)
| sP2(X11)
| ~ in(set_union2(X11,singleton(X11)),omega)
| empty_set = X12
| ~ subset(sK35(X12),X14)
| ~ in(X14,X12)
| sK35(X12) = X14
| ~ element(X12,powerset(powerset(set_union2(X11,singleton(X11))))) ),
inference(definition_unfolding,[],[f324,f242,f242]) ).
fof(f242,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f324,plain,
! [X11,X14,X12] :
( ~ ordinal(X11)
| sP2(X11)
| ~ in(succ(X11),omega)
| empty_set = X12
| ~ subset(sK35(X12),X14)
| ~ in(X14,X12)
| sK35(X12) = X14
| ~ element(X12,powerset(powerset(succ(X11)))) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ordinal(sK30)
& in(sK30,omega)
& ! [X2] :
( ( in(sK32(X2),sK31)
& subset(X2,sK32(X2))
& sK32(X2) != X2 )
| ~ in(X2,sK31) )
& element(sK31,powerset(powerset(sK30)))
& empty_set != sK31
& ( ! [X4] :
( ( ! [X6] :
( ~ subset(sK33(X4),X6)
| sK33(X4) = X6
| ~ in(X6,X4) )
& in(sK33(X4),X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) )
& ! [X7] :
( empty_set = X7
| ~ being_limit_ordinal(X7)
| ! [X8] :
( empty_set = X8
| ( ! [X10] :
( sK34(X8) = X10
| ~ subset(sK34(X8),X10)
| ~ in(X10,X8) )
& in(sK34(X8),X8) )
| ~ element(X8,powerset(powerset(X7))) )
| ~ ordinal(X7)
| sP3(X7)
| ~ in(X7,omega) )
& ! [X11] :
( ~ ordinal(X11)
| sP2(X11)
| ~ in(succ(X11),omega)
| ! [X12] :
( empty_set = X12
| ( in(sK35(X12),X12)
& ! [X14] :
( ~ subset(sK35(X12),X14)
| ~ in(X14,X12)
| sK35(X12) = X14 ) )
| ~ element(X12,powerset(powerset(succ(X11)))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34,sK35])],[f182,f188,f187,f186,f185,f184,f183]) ).
fof(f183,plain,
( ? [X0] :
( ordinal(X0)
& in(X0,omega)
& ? [X1] :
( ! [X2] :
( ? [X3] :
( in(X3,X1)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,X1) )
& element(X1,powerset(powerset(X0)))
& empty_set != X1 ) )
=> ( ordinal(sK30)
& in(sK30,omega)
& ? [X1] :
( ! [X2] :
( ? [X3] :
( in(X3,X1)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,X1) )
& element(X1,powerset(powerset(sK30)))
& empty_set != X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ? [X1] :
( ! [X2] :
( ? [X3] :
( in(X3,X1)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,X1) )
& element(X1,powerset(powerset(sK30)))
& empty_set != X1 )
=> ( ! [X2] :
( ? [X3] :
( in(X3,sK31)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,sK31) )
& element(sK31,powerset(powerset(sK30)))
& empty_set != sK31 ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X2] :
( ? [X3] :
( in(X3,sK31)
& subset(X2,X3)
& X2 != X3 )
=> ( in(sK32(X2),sK31)
& subset(X2,sK32(X2))
& sK32(X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X4] :
( ? [X5] :
( ! [X6] :
( ~ subset(X5,X6)
| X5 = X6
| ~ in(X6,X4) )
& in(X5,X4) )
=> ( ! [X6] :
( ~ subset(sK33(X4),X6)
| sK33(X4) = X6
| ~ in(X6,X4) )
& in(sK33(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X8] :
( ? [X9] :
( ! [X10] :
( X9 = X10
| ~ subset(X9,X10)
| ~ in(X10,X8) )
& in(X9,X8) )
=> ( ! [X10] :
( sK34(X8) = X10
| ~ subset(sK34(X8),X10)
| ~ in(X10,X8) )
& in(sK34(X8),X8) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X12] :
( ? [X13] :
( in(X13,X12)
& ! [X14] :
( ~ subset(X13,X14)
| ~ in(X14,X12)
| X13 = X14 ) )
=> ( in(sK35(X12),X12)
& ! [X14] :
( ~ subset(sK35(X12),X14)
| ~ in(X14,X12)
| sK35(X12) = X14 ) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( ? [X0] :
( ordinal(X0)
& in(X0,omega)
& ? [X1] :
( ! [X2] :
( ? [X3] :
( in(X3,X1)
& subset(X2,X3)
& X2 != X3 )
| ~ in(X2,X1) )
& element(X1,powerset(powerset(X0)))
& empty_set != X1 ) )
& ( ! [X4] :
( ? [X5] :
( ! [X6] :
( ~ subset(X5,X6)
| X5 = X6
| ~ in(X6,X4) )
& in(X5,X4) )
| empty_set = X4
| ~ element(X4,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) )
& ! [X7] :
( empty_set = X7
| ~ being_limit_ordinal(X7)
| ! [X8] :
( empty_set = X8
| ? [X9] :
( ! [X10] :
( X9 = X10
| ~ subset(X9,X10)
| ~ in(X10,X8) )
& in(X9,X8) )
| ~ element(X8,powerset(powerset(X7))) )
| ~ ordinal(X7)
| sP3(X7)
| ~ in(X7,omega) )
& ! [X11] :
( ~ ordinal(X11)
| sP2(X11)
| ~ in(succ(X11),omega)
| ! [X12] :
( empty_set = X12
| ? [X13] :
( in(X13,X12)
& ! [X14] :
( ~ subset(X13,X14)
| ~ in(X14,X12)
| X13 = X14 ) )
| ~ element(X12,powerset(powerset(succ(X11)))) ) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
( ? [X18] :
( ordinal(X18)
& in(X18,omega)
& ? [X19] :
( ! [X20] :
( ? [X21] :
( in(X21,X19)
& subset(X20,X21)
& X20 != X21 )
| ~ in(X20,X19) )
& element(X19,powerset(powerset(X18)))
& empty_set != X19 ) )
& ( ! [X8] :
( ? [X9] :
( ! [X10] :
( ~ subset(X9,X10)
| X9 = X10
| ~ in(X10,X8) )
& in(X9,X8) )
| empty_set = X8
| ~ element(X8,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) )
& ! [X0] :
( empty_set = X0
| ~ being_limit_ordinal(X0)
| ! [X5] :
( empty_set = X5
| ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| ~ element(X5,powerset(powerset(X0))) )
| ~ ordinal(X0)
| sP3(X0)
| ~ in(X0,omega) )
& ! [X11] :
( ~ ordinal(X11)
| sP2(X11)
| ~ in(succ(X11),omega)
| ! [X15] :
( empty_set = X15
| ? [X16] :
( in(X16,X15)
& ! [X17] :
( ~ subset(X16,X17)
| ~ in(X17,X15)
| X16 = X17 ) )
| ~ element(X15,powerset(powerset(succ(X11)))) ) ) ),
inference(definition_folding,[],[f107,f121,f120]) ).
fof(f120,plain,
! [X11] :
( ( ? [X12] :
( element(X12,powerset(powerset(X11)))
& ! [X13] :
( ? [X14] :
( subset(X13,X14)
& X13 != X14
& in(X14,X12) )
| ~ in(X13,X12) )
& empty_set != X12 )
& in(X11,omega) )
| ~ sP2(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( in(X1,X0)
& in(X1,omega)
& ? [X2] :
( empty_set != X2
& element(X2,powerset(powerset(X1)))
& ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) ) )
& ordinal(X1) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f107,plain,
( ? [X18] :
( ordinal(X18)
& in(X18,omega)
& ? [X19] :
( ! [X20] :
( ? [X21] :
( in(X21,X19)
& subset(X20,X21)
& X20 != X21 )
| ~ in(X20,X19) )
& element(X19,powerset(powerset(X18)))
& empty_set != X19 ) )
& ( ! [X8] :
( ? [X9] :
( ! [X10] :
( ~ subset(X9,X10)
| X9 = X10
| ~ in(X10,X8) )
& in(X9,X8) )
| empty_set = X8
| ~ element(X8,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) )
& ! [X0] :
( empty_set = X0
| ~ being_limit_ordinal(X0)
| ! [X5] :
( empty_set = X5
| ? [X6] :
( ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) )
& in(X6,X5) )
| ~ element(X5,powerset(powerset(X0))) )
| ~ ordinal(X0)
| ? [X1] :
( in(X1,X0)
& in(X1,omega)
& ? [X2] :
( empty_set != X2
& element(X2,powerset(powerset(X1)))
& ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) ) )
& ordinal(X1) )
| ~ in(X0,omega) )
& ! [X11] :
( ~ ordinal(X11)
| ( ? [X12] :
( element(X12,powerset(powerset(X11)))
& ! [X13] :
( ? [X14] :
( subset(X13,X14)
& X13 != X14
& in(X14,X12) )
| ~ in(X13,X12) )
& empty_set != X12 )
& in(X11,omega) )
| ~ in(succ(X11),omega)
| ! [X15] :
( empty_set = X15
| ? [X16] :
( in(X16,X15)
& ! [X17] :
( ~ subset(X16,X17)
| ~ in(X17,X15)
| X16 = X17 ) )
| ~ element(X15,powerset(powerset(succ(X11)))) ) ) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
( ? [X18] :
( ? [X19] :
( empty_set != X19
& ! [X20] :
( ~ in(X20,X19)
| ? [X21] :
( X20 != X21
& in(X21,X19)
& subset(X20,X21) ) )
& element(X19,powerset(powerset(X18))) )
& in(X18,omega)
& ordinal(X18) )
& ! [X11] :
( ! [X15] :
( empty_set = X15
| ? [X16] :
( in(X16,X15)
& ! [X17] :
( X16 = X17
| ~ subset(X16,X17)
| ~ in(X17,X15) ) )
| ~ element(X15,powerset(powerset(succ(X11)))) )
| ~ in(succ(X11),omega)
| ( ? [X12] :
( ! [X13] :
( ~ in(X13,X12)
| ? [X14] :
( X13 != X14
& subset(X13,X14)
& in(X14,X12) ) )
& empty_set != X12
& element(X12,powerset(powerset(X11))) )
& in(X11,omega) )
| ~ ordinal(X11) )
& ( ! [X8] :
( ? [X9] :
( ! [X10] :
( X9 = X10
| ~ in(X10,X8)
| ~ subset(X9,X10) )
& in(X9,X8) )
| empty_set = X8
| ~ element(X8,powerset(powerset(empty_set))) )
| ~ in(empty_set,omega) )
& ! [X0] :
( empty_set = X0
| ! [X5] :
( ? [X6] :
( in(X6,X5)
& ! [X7] :
( X6 = X7
| ~ in(X7,X5)
| ~ subset(X6,X7) ) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X0))) )
| ~ in(X0,omega)
| ~ being_limit_ordinal(X0)
| ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) )
& empty_set != X2
& element(X2,powerset(powerset(X1))) )
& in(X1,omega)
& in(X1,X0)
& ordinal(X1) )
| ~ ordinal(X0) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
~ ( ( ! [X11] :
( ordinal(X11)
=> ( ( in(X11,omega)
=> ! [X12] :
( element(X12,powerset(powerset(X11)))
=> ~ ( ! [X13] :
~ ( in(X13,X12)
& ! [X14] :
( ( subset(X13,X14)
& in(X14,X12) )
=> X13 = X14 ) )
& empty_set != X12 ) ) )
=> ( in(succ(X11),omega)
=> ! [X15] :
( element(X15,powerset(powerset(succ(X11))))
=> ~ ( empty_set != X15
& ! [X16] :
~ ( in(X16,X15)
& ! [X17] :
( ( subset(X16,X17)
& in(X17,X15) )
=> X16 = X17 ) ) ) ) ) ) )
& ( in(empty_set,omega)
=> ! [X8] :
( element(X8,powerset(powerset(empty_set)))
=> ~ ( ! [X9] :
~ ( ! [X10] :
( ( in(X10,X8)
& subset(X9,X10) )
=> X9 = X10 )
& in(X9,X8) )
& empty_set != X8 ) ) )
& ! [X0] :
( ordinal(X0)
=> ( ( being_limit_ordinal(X0)
& ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
( ( subset(X3,X4)
& in(X4,X2) )
=> X3 = X4 ) )
& empty_set != X2 ) ) ) ) ) )
=> ( empty_set = X0
| ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( ! [X6] :
~ ( in(X6,X5)
& ! [X7] :
( ( in(X7,X5)
& subset(X6,X7) )
=> X6 = X7 ) )
& empty_set != X5 ) ) ) ) ) ) )
=> ! [X18] :
( ordinal(X18)
=> ( in(X18,omega)
=> ! [X19] :
( element(X19,powerset(powerset(X18)))
=> ~ ( empty_set != X19
& ! [X20] :
~ ( in(X20,X19)
& ! [X21] :
( ( in(X21,X19)
& subset(X20,X21) )
=> X20 = X21 ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X3] :
( ordinal(X3)
=> ( ( ! [X10] :
( ordinal(X10)
=> ( in(X10,X3)
=> ( in(X10,omega)
=> ! [X11] :
( element(X11,powerset(powerset(X10)))
=> ~ ( empty_set != X11
& ! [X12] :
~ ( in(X12,X11)
& ! [X13] :
( ( subset(X12,X13)
& in(X13,X11) )
=> X12 = X13 ) ) ) ) ) ) )
& being_limit_ordinal(X3) )
=> ( ( in(X3,omega)
=> ! [X14] :
( element(X14,powerset(powerset(X3)))
=> ~ ( empty_set != X14
& ! [X15] :
~ ( ! [X16] :
( ( in(X16,X14)
& subset(X15,X16) )
=> X15 = X16 )
& in(X15,X14) ) ) ) )
| empty_set = X3 ) ) )
& ( in(empty_set,omega)
=> ! [X0] :
( element(X0,powerset(powerset(empty_set)))
=> ~ ( empty_set != X0
& ! [X1] :
~ ( in(X1,X0)
& ! [X2] :
( ( subset(X1,X2)
& in(X2,X0) )
=> X1 = X2 ) ) ) ) )
& ! [X3] :
( ordinal(X3)
=> ( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( ! [X5] :
~ ( in(X5,X4)
& ! [X6] :
( ( subset(X5,X6)
& in(X6,X4) )
=> X5 = X6 ) )
& empty_set != X4 ) ) )
=> ( in(succ(X3),omega)
=> ! [X7] :
( element(X7,powerset(powerset(succ(X3))))
=> ~ ( ! [X8] :
~ ( ! [X9] :
( ( in(X9,X7)
& subset(X8,X9) )
=> X8 = X9 )
& in(X8,X7) )
& empty_set != X7 ) ) ) ) ) )
=> ! [X3] :
( ordinal(X3)
=> ( in(X3,omega)
=> ! [X17] :
( element(X17,powerset(powerset(X3)))
=> ~ ( empty_set != X17
& ! [X18] :
~ ( in(X18,X17)
& ! [X19] :
( ( in(X19,X17)
& subset(X18,X19) )
=> X18 = X19 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X3] :
( ordinal(X3)
=> ( ( ! [X10] :
( ordinal(X10)
=> ( in(X10,X3)
=> ( in(X10,omega)
=> ! [X11] :
( element(X11,powerset(powerset(X10)))
=> ~ ( empty_set != X11
& ! [X12] :
~ ( in(X12,X11)
& ! [X13] :
( ( subset(X12,X13)
& in(X13,X11) )
=> X12 = X13 ) ) ) ) ) ) )
& being_limit_ordinal(X3) )
=> ( ( in(X3,omega)
=> ! [X14] :
( element(X14,powerset(powerset(X3)))
=> ~ ( empty_set != X14
& ! [X15] :
~ ( ! [X16] :
( ( in(X16,X14)
& subset(X15,X16) )
=> X15 = X16 )
& in(X15,X14) ) ) ) )
| empty_set = X3 ) ) )
& ( in(empty_set,omega)
=> ! [X0] :
( element(X0,powerset(powerset(empty_set)))
=> ~ ( empty_set != X0
& ! [X1] :
~ ( in(X1,X0)
& ! [X2] :
( ( subset(X1,X2)
& in(X2,X0) )
=> X1 = X2 ) ) ) ) )
& ! [X3] :
( ordinal(X3)
=> ( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( ! [X5] :
~ ( in(X5,X4)
& ! [X6] :
( ( subset(X5,X6)
& in(X6,X4) )
=> X5 = X6 ) )
& empty_set != X4 ) ) )
=> ( in(succ(X3),omega)
=> ! [X7] :
( element(X7,powerset(powerset(succ(X3))))
=> ~ ( ! [X8] :
~ ( ! [X9] :
( ( in(X9,X7)
& subset(X8,X9) )
=> X8 = X9 )
& in(X8,X7) )
& empty_set != X7 ) ) ) ) ) )
=> ! [X3] :
( ordinal(X3)
=> ( in(X3,omega)
=> ! [X17] :
( element(X17,powerset(powerset(X3)))
=> ~ ( empty_set != X17
& ! [X18] :
~ ( in(X18,X17)
& ! [X19] :
( ( in(X19,X17)
& subset(X18,X19) )
=> X18 = X19 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_ordinal2__e18_27__finset_1) ).
fof(f5046,plain,
( in(sK35(sK11(sK9)),sK11(sK9))
| ~ spl45_9
| ~ spl45_11
| spl45_202
| ~ spl45_203
| ~ spl45_255 ),
inference(subsumption_resolution,[],[f5045,f434]) ).
fof(f5045,plain,
( in(sK35(sK11(sK9)),sK11(sK9))
| ~ sP0(sK9)
| ~ spl45_9
| ~ spl45_11
| spl45_202
| ~ spl45_203
| ~ spl45_255 ),
inference(subsumption_resolution,[],[f4976,f1220]) ).
fof(f1220,plain,
( empty_set != sK11(sK9)
| ~ spl45_11 ),
inference(resolution,[],[f434,f238]) ).
fof(f4976,plain,
( in(sK35(sK11(sK9)),sK11(sK9))
| empty_set = sK11(sK9)
| ~ sP0(sK9)
| ~ spl45_9
| spl45_202
| ~ spl45_203
| ~ spl45_255 ),
inference(resolution,[],[f4806,f234]) ).
fof(f4806,plain,
( ! [X6] :
( in(sK35(X6),X6)
| ~ element(X6,powerset(powerset(sK9)))
| empty_set = X6 )
| ~ spl45_9
| spl45_202
| ~ spl45_203
| ~ spl45_255 ),
inference(subsumption_resolution,[],[f4805,f3100]) ).
fof(f3100,plain,
( ordinal(sK37(sK9))
| ~ spl45_203 ),
inference(avatar_component_clause,[],[f3099]) ).
fof(f3099,plain,
( spl45_203
<=> ordinal(sK37(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_203])]) ).
fof(f4805,plain,
( ! [X6] :
( empty_set = X6
| ~ element(X6,powerset(powerset(sK9)))
| ~ ordinal(sK37(sK9))
| in(sK35(X6),X6) )
| ~ spl45_9
| spl45_202
| ~ spl45_255 ),
inference(subsumption_resolution,[],[f4804,f3096]) ).
fof(f3096,plain,
( ~ sP2(sK37(sK9))
| spl45_202 ),
inference(avatar_component_clause,[],[f3095]) ).
fof(f3095,plain,
( spl45_202
<=> sP2(sK37(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_202])]) ).
fof(f4804,plain,
( ! [X6] :
( empty_set = X6
| ~ element(X6,powerset(powerset(sK9)))
| in(sK35(X6),X6)
| sP2(sK37(sK9))
| ~ ordinal(sK37(sK9)) )
| ~ spl45_9
| ~ spl45_255 ),
inference(subsumption_resolution,[],[f4803,f425]) ).
fof(f4803,plain,
( ! [X6] :
( ~ in(sK9,omega)
| ~ ordinal(sK37(sK9))
| ~ element(X6,powerset(powerset(sK9)))
| empty_set = X6
| sP2(sK37(sK9))
| in(sK35(X6),X6) )
| ~ spl45_255 ),
inference(superposition,[],[f376,f3557]) ).
fof(f3557,plain,
( set_union2(sK37(sK9),singleton(sK37(sK9))) = sK9
| ~ spl45_255 ),
inference(avatar_component_clause,[],[f3555]) ).
fof(f3555,plain,
( spl45_255
<=> set_union2(sK37(sK9),singleton(sK37(sK9))) = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl45_255])]) ).
fof(f376,plain,
! [X11,X12] :
( in(sK35(X12),X12)
| ~ element(X12,powerset(powerset(set_union2(X11,singleton(X11)))))
| sP2(X11)
| ~ in(set_union2(X11,singleton(X11)),omega)
| ~ ordinal(X11)
| empty_set = X12 ),
inference(definition_unfolding,[],[f325,f242,f242]) ).
fof(f325,plain,
! [X11,X12] :
( ~ ordinal(X11)
| sP2(X11)
| ~ in(succ(X11),omega)
| empty_set = X12
| in(sK35(X12),X12)
| ~ element(X12,powerset(powerset(succ(X11)))) ),
inference(cnf_transformation,[],[f189]) ).
fof(f4540,plain,
( ~ spl45_4
| spl45_203
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(avatar_split_clause,[],[f3164,f2194,f1012,f432,f423,f402,f3099,f402]) ).
fof(f402,plain,
( spl45_4
<=> ordinal(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_4])]) ).
fof(f1012,plain,
( spl45_45
<=> sP3(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_45])]) ).
fof(f3164,plain,
( ordinal(sK37(sK9))
| ~ ordinal(sK9)
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(resolution,[],[f3078,f586]) ).
fof(f586,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ ordinal(X0)
| ordinal(X1) ),
inference(resolution,[],[f262,f343]) ).
fof(f343,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( in(X1,X0)
=> element(X1,X0) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f262,plain,
! [X0,X1] :
( ~ element(X1,X0)
| ~ ordinal(X0)
| ordinal(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1) )
| ~ element(X1,X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( element(X1,X0)
=> ( ordinal(X1)
& epsilon_connected(X1)
& epsilon_transitive(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_arytm_3) ).
fof(f3078,plain,
( in(sK37(sK9),sK9)
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(superposition,[],[f369,f3070]) ).
fof(f3070,plain,
( set_union2(sK37(sK9),singleton(sK37(sK9))) = sK9
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(subsumption_resolution,[],[f3069,f404]) ).
fof(f404,plain,
( ordinal(sK9)
| ~ spl45_4 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f3069,plain,
( ~ ordinal(sK9)
| set_union2(sK37(sK9),singleton(sK37(sK9))) = sK9
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(resolution,[],[f3068,f379]) ).
fof(f379,plain,
! [X0] :
( being_limit_ordinal(X0)
| ~ ordinal(X0)
| set_union2(sK37(X0),singleton(sK37(X0))) = X0 ),
inference(definition_unfolding,[],[f349,f242]) ).
fof(f349,plain,
! [X0] :
( being_limit_ordinal(X0)
| succ(sK37(X0)) = X0
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( ( ~ being_limit_ordinal(X0)
| ! [X1] :
( succ(X1) != X0
| ~ ordinal(X1) ) )
& ( being_limit_ordinal(X0)
| ( succ(sK37(X0)) = X0
& ordinal(sK37(X0)) ) ) )
| ~ ordinal(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f91,f194]) ).
fof(f194,plain,
! [X0] :
( ? [X2] :
( succ(X2) = X0
& ordinal(X2) )
=> ( succ(sK37(X0)) = X0
& ordinal(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ( ( ~ being_limit_ordinal(X0)
| ! [X1] :
( succ(X1) != X0
| ~ ordinal(X1) ) )
& ( being_limit_ordinal(X0)
| ? [X2] :
( succ(X2) = X0
& ordinal(X2) ) ) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ordinal(X0)
=> ( ~ ( ? [X1] :
( ordinal(X1)
& succ(X1) = X0 )
& being_limit_ordinal(X0) )
& ~ ( ~ being_limit_ordinal(X0)
& ! [X2] :
( ordinal(X2)
=> succ(X2) != X0 ) ) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ordinal(X0)
=> ( ~ ( ? [X1] :
( ordinal(X1)
& succ(X1) = X0 )
& being_limit_ordinal(X0) )
& ~ ( ~ being_limit_ordinal(X0)
& ! [X1] :
( ordinal(X1)
=> succ(X1) != X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_ordinal1) ).
fof(f3068,plain,
( ~ being_limit_ordinal(sK9)
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(subsumption_resolution,[],[f3067,f2195]) ).
fof(f2195,plain,
( empty_set != sK9
| spl45_153 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f3067,plain,
( ~ being_limit_ordinal(sK9)
| empty_set = sK9
| ~ spl45_9
| ~ spl45_11
| spl45_45 ),
inference(subsumption_resolution,[],[f3066,f434]) ).
fof(f3066,plain,
( empty_set = sK9
| ~ being_limit_ordinal(sK9)
| ~ sP0(sK9)
| ~ spl45_9
| spl45_45 ),
inference(subsumption_resolution,[],[f3040,f1014]) ).
fof(f1014,plain,
( ~ sP3(sK9)
| spl45_45 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f3040,plain,
( sP3(sK9)
| ~ sP0(sK9)
| empty_set = sK9
| ~ being_limit_ordinal(sK9)
| ~ spl45_9 ),
inference(resolution,[],[f3038,f425]) ).
fof(f3038,plain,
! [X0] :
( ~ in(X0,omega)
| empty_set = X0
| ~ being_limit_ordinal(X0)
| ~ sP0(X0)
| sP3(X0) ),
inference(subsumption_resolution,[],[f3037,f2584]) ).
fof(f2584,plain,
! [X4] :
( ~ sP43(sK11(X4))
| ~ in(X4,omega)
| sP3(X4)
| ~ sP0(X4)
| empty_set = X4
| ~ being_limit_ordinal(X4) ),
inference(subsumption_resolution,[],[f2576,f238]) ).
fof(f2576,plain,
! [X4] :
( ~ being_limit_ordinal(X4)
| ~ in(X4,omega)
| ~ sP0(X4)
| empty_set = sK11(X4)
| sP3(X4)
| empty_set = X4
| ~ sP43(sK11(X4)) ),
inference(resolution,[],[f2554,f234]) ).
fof(f2554,plain,
! [X8,X7] :
( ~ element(X8,powerset(powerset(X7)))
| empty_set = X8
| empty_set = X7
| sP3(X7)
| ~ in(X7,omega)
| ~ sP43(X8)
| ~ being_limit_ordinal(X7) ),
inference(subsumption_resolution,[],[f386,f503]) ).
fof(f503,plain,
! [X2] :
( ~ in(X2,omega)
| ordinal(X2) ),
inference(resolution,[],[f343,f244]) ).
fof(f244,plain,
! [X0] :
( ~ element(X0,omega)
| ordinal(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( natural(X0)
& epsilon_connected(X0)
& ordinal(X0)
& epsilon_transitive(X0) )
| ~ element(X0,omega) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( element(X0,omega)
=> ( natural(X0)
& epsilon_connected(X0)
& ordinal(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_arytm_3) ).
fof(f386,plain,
! [X8,X7] :
( empty_set = X7
| ~ ordinal(X7)
| ~ sP43(X8)
| ~ being_limit_ordinal(X7)
| ~ in(X7,omega)
| sP3(X7)
| ~ element(X8,powerset(powerset(X7)))
| empty_set = X8 ),
inference(general_splitting,[],[f327,f385_D]) ).
fof(f385,plain,
! [X10,X8] :
( ~ subset(sK34(X8),X10)
| ~ in(X10,X8)
| sP43(X8)
| sK34(X8) = X10 ),
inference(cnf_transformation,[],[f385_D]) ).
fof(f385_D,plain,
! [X8] :
( ! [X10] :
( ~ subset(sK34(X8),X10)
| ~ in(X10,X8)
| sK34(X8) = X10 )
<=> ~ sP43(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP43])]) ).
fof(f327,plain,
! [X10,X8,X7] :
( empty_set = X7
| ~ being_limit_ordinal(X7)
| empty_set = X8
| sK34(X8) = X10
| ~ subset(sK34(X8),X10)
| ~ in(X10,X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ ordinal(X7)
| sP3(X7)
| ~ in(X7,omega) ),
inference(cnf_transformation,[],[f189]) ).
fof(f3037,plain,
! [X0] :
( sP43(sK11(X0))
| ~ in(X0,omega)
| ~ sP0(X0)
| empty_set = X0
| sP3(X0)
| ~ being_limit_ordinal(X0) ),
inference(duplicate_literal_removal,[],[f3024]) ).
fof(f3024,plain,
! [X0] :
( sP43(sK11(X0))
| ~ sP0(X0)
| empty_set = X0
| ~ being_limit_ordinal(X0)
| sP3(X0)
| ~ in(X0,omega)
| ~ sP0(X0) ),
inference(resolution,[],[f2834,f1116]) ).
fof(f1116,plain,
! [X1] :
( ~ in(sK34(sK11(X1)),sK11(X1))
| sP43(sK11(X1))
| ~ sP0(X1) ),
inference(duplicate_literal_removal,[],[f1115]) ).
fof(f1115,plain,
! [X1] :
( sP43(sK11(X1))
| ~ in(sK34(sK11(X1)),sK11(X1))
| ~ sP0(X1)
| ~ sP0(X1)
| ~ in(sK34(sK11(X1)),sK11(X1)) ),
inference(resolution,[],[f894,f237]) ).
fof(f894,plain,
! [X2,X1] :
( ~ in(sK12(X1,sK34(X2)),X2)
| sP43(X2)
| ~ sP0(X1)
| ~ in(sK34(X2),sK11(X1)) ),
inference(subsumption_resolution,[],[f888,f235]) ).
fof(f888,plain,
! [X2,X1] :
( ~ sP0(X1)
| sK34(X2) = sK12(X1,sK34(X2))
| ~ in(sK12(X1,sK34(X2)),X2)
| sP43(X2)
| ~ in(sK34(X2),sK11(X1)) ),
inference(resolution,[],[f385,f236]) ).
fof(f2834,plain,
! [X4] :
( in(sK34(sK11(X4)),sK11(X4))
| ~ sP0(X4)
| empty_set = X4
| sP3(X4)
| ~ in(X4,omega)
| ~ being_limit_ordinal(X4) ),
inference(subsumption_resolution,[],[f2742,f238]) ).
fof(f2742,plain,
! [X4] :
( ~ being_limit_ordinal(X4)
| in(sK34(sK11(X4)),sK11(X4))
| empty_set = X4
| sP3(X4)
| ~ in(X4,omega)
| ~ sP0(X4)
| empty_set = sK11(X4) ),
inference(resolution,[],[f2700,f234]) ).
fof(f2700,plain,
! [X8,X7] :
( in(sK34(X8),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ in(X7,omega)
| ~ being_limit_ordinal(X7)
| empty_set = X7
| sP3(X7)
| empty_set = X8 ),
inference(subsumption_resolution,[],[f326,f503]) ).
fof(f326,plain,
! [X8,X7] :
( ~ element(X8,powerset(powerset(X7)))
| sP3(X7)
| in(sK34(X8),X8)
| empty_set = X8
| ~ ordinal(X7)
| ~ being_limit_ordinal(X7)
| ~ in(X7,omega)
| empty_set = X7 ),
inference(cnf_transformation,[],[f189]) ).
fof(f369,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f223,f242]) ).
fof(f223,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f4539,plain,
( spl45_255
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(avatar_split_clause,[],[f3070,f2194,f1012,f432,f423,f402,f3555]) ).
fof(f4537,plain,
( spl45_327
| ~ spl45_11
| ~ spl45_207 ),
inference(avatar_split_clause,[],[f3640,f3124,f432,f4477]) ).
fof(f3124,plain,
( spl45_207
<=> ! [X0] :
( ~ element(X0,powerset(powerset(sK9)))
| sP44(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_207])]) ).
fof(f3640,plain,
( sP44(sK11(sK9))
| ~ spl45_11
| ~ spl45_207 ),
inference(subsumption_resolution,[],[f3636,f434]) ).
fof(f3636,plain,
( ~ sP0(sK9)
| sP44(sK11(sK9))
| ~ spl45_207 ),
inference(resolution,[],[f3125,f234]) ).
fof(f3125,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sK9)))
| sP44(X0) )
| ~ spl45_207 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f4531,plain,
( ~ spl45_202
| ~ spl45_4
| ~ spl45_6
| ~ spl45_7
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(avatar_split_clause,[],[f3626,f2194,f1012,f432,f423,f415,f411,f402,f3095]) ).
fof(f411,plain,
( spl45_6
<=> ! [X2,X1] :
( in(sK10(X2),X2)
| ~ in(X1,sK9)
| ~ element(X2,powerset(powerset(X1)))
| empty_set = X2
| ~ in(X1,omega)
| ~ ordinal(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_6])]) ).
fof(f415,plain,
( spl45_7
<=> ! [X2,X4] :
( empty_set = X2
| ~ in(X4,X2)
| ~ subset(sK10(X2),X4)
| sK10(X2) = X4
| ~ sP41(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_7])]) ).
fof(f3626,plain,
( ~ sP2(sK37(sK9))
| ~ spl45_4
| ~ spl45_6
| ~ spl45_7
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(resolution,[],[f2452,f3078]) ).
fof(f2452,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ sP2(X0) )
| ~ spl45_6
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f2451,f987]) ).
fof(f987,plain,
! [X8] :
( sP41(sK28(X8))
| ~ in(X8,sK9)
| ~ sP2(X8) ),
inference(subsumption_resolution,[],[f985,f318]) ).
fof(f318,plain,
! [X0] :
( in(X0,omega)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( element(sK28(X0),powerset(powerset(X0)))
& ! [X2] :
( ( subset(X2,sK29(X0,X2))
& sK29(X0,X2) != X2
& in(sK29(X0,X2),sK28(X0)) )
| ~ in(X2,sK28(X0)) )
& empty_set != sK28(X0)
& in(X0,omega) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f178,f180,f179]) ).
fof(f179,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(powerset(X0)))
& ! [X2] :
( ? [X3] :
( subset(X2,X3)
& X2 != X3
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1 )
=> ( element(sK28(X0),powerset(powerset(X0)))
& ! [X2] :
( ? [X3] :
( subset(X2,X3)
& X2 != X3
& in(X3,sK28(X0)) )
| ~ in(X2,sK28(X0)) )
& empty_set != sK28(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0,X2] :
( ? [X3] :
( subset(X2,X3)
& X2 != X3
& in(X3,sK28(X0)) )
=> ( subset(X2,sK29(X0,X2))
& sK29(X0,X2) != X2
& in(sK29(X0,X2),sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X0] :
( ( ? [X1] :
( element(X1,powerset(powerset(X0)))
& ! [X2] :
( ? [X3] :
( subset(X2,X3)
& X2 != X3
& in(X3,X1) )
| ~ in(X2,X1) )
& empty_set != X1 )
& in(X0,omega) )
| ~ sP2(X0) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X11] :
( ( ? [X12] :
( element(X12,powerset(powerset(X11)))
& ! [X13] :
( ? [X14] :
( subset(X13,X14)
& X13 != X14
& in(X14,X12) )
| ~ in(X13,X12) )
& empty_set != X12 )
& in(X11,omega) )
| ~ sP2(X11) ),
inference(nnf_transformation,[],[f120]) ).
fof(f985,plain,
! [X8] :
( sP41(sK28(X8))
| ~ sP2(X8)
| ~ in(X8,omega)
| ~ in(X8,sK9) ),
inference(resolution,[],[f977,f323]) ).
fof(f323,plain,
! [X0] :
( element(sK28(X0),powerset(powerset(X0)))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f977,plain,
! [X2,X1] :
( ~ element(X2,powerset(powerset(X1)))
| sP41(X2)
| ~ in(X1,sK9)
| ~ in(X1,omega) ),
inference(subsumption_resolution,[],[f381,f503]) ).
fof(f381,plain,
! [X2,X1] :
( ~ ordinal(X1)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,sK9)
| sP41(X2) ),
inference(cnf_transformation,[],[f381_D]) ).
fof(f381_D,plain,
! [X2] :
( ! [X1] :
( ~ ordinal(X1)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,sK9) )
<=> ~ sP41(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP41])]) ).
fof(f2451,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ sP41(sK28(X0))
| ~ sP2(X0) )
| ~ spl45_6
| ~ spl45_7 ),
inference(duplicate_literal_removal,[],[f2449]) ).
fof(f2449,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ sP2(X0)
| ~ sP41(sK28(X0))
| ~ sP2(X0) )
| ~ spl45_6
| ~ spl45_7 ),
inference(resolution,[],[f2448,f1340]) ).
fof(f1340,plain,
( ! [X8] :
( in(sK10(sK28(X8)),sK28(X8))
| ~ sP2(X8)
| ~ in(X8,sK9) )
| ~ spl45_6 ),
inference(subsumption_resolution,[],[f1339,f319]) ).
fof(f319,plain,
! [X0] :
( ~ sP2(X0)
| empty_set != sK28(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1339,plain,
( ! [X8] :
( in(sK10(sK28(X8)),sK28(X8))
| ~ in(X8,sK9)
| ~ sP2(X8)
| empty_set = sK28(X8) )
| ~ spl45_6 ),
inference(subsumption_resolution,[],[f1272,f318]) ).
fof(f1272,plain,
( ! [X8] :
( ~ sP2(X8)
| ~ in(X8,omega)
| in(sK10(sK28(X8)),sK28(X8))
| ~ in(X8,sK9)
| empty_set = sK28(X8) )
| ~ spl45_6 ),
inference(resolution,[],[f1218,f323]) ).
fof(f1218,plain,
( ! [X2,X1] :
( in(sK10(X2),X2)
| ~ element(X2,powerset(powerset(X1)))
| empty_set = X2
| ~ in(X1,omega)
| ~ in(X1,sK9) )
| ~ spl45_6 ),
inference(subsumption_resolution,[],[f412,f503]) ).
fof(f412,plain,
( ! [X2,X1] :
( empty_set = X2
| ~ ordinal(X1)
| ~ in(X1,sK9)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1)))
| in(sK10(X2),X2) )
| ~ spl45_6 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f2448,plain,
( ! [X1] :
( ~ in(sK10(sK28(X1)),sK28(X1))
| ~ sP41(sK28(X1))
| ~ sP2(X1) )
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f2442,f319]) ).
fof(f2442,plain,
( ! [X1] :
( empty_set = sK28(X1)
| ~ sP2(X1)
| ~ sP41(sK28(X1))
| ~ in(sK10(sK28(X1)),sK28(X1)) )
| ~ spl45_7 ),
inference(duplicate_literal_removal,[],[f2441]) ).
fof(f2441,plain,
( ! [X1] :
( empty_set = sK28(X1)
| ~ sP2(X1)
| ~ sP41(sK28(X1))
| ~ in(sK10(sK28(X1)),sK28(X1))
| ~ sP2(X1)
| ~ in(sK10(sK28(X1)),sK28(X1)) )
| ~ spl45_7 ),
inference(resolution,[],[f1240,f320]) ).
fof(f320,plain,
! [X2,X0] :
( in(sK29(X0,X2),sK28(X0))
| ~ in(X2,sK28(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1240,plain,
( ! [X6,X5] :
( ~ in(sK29(X6,sK10(X5)),X5)
| empty_set = X5
| ~ sP41(X5)
| ~ in(sK10(X5),sK28(X6))
| ~ sP2(X6) )
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f1237,f321]) ).
fof(f321,plain,
! [X2,X0] :
( ~ in(X2,sK28(X0))
| sK29(X0,X2) != X2
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1237,plain,
( ! [X6,X5] :
( ~ in(sK10(X5),sK28(X6))
| ~ in(sK29(X6,sK10(X5)),X5)
| ~ sP41(X5)
| empty_set = X5
| sK29(X6,sK10(X5)) = sK10(X5)
| ~ sP2(X6) )
| ~ spl45_7 ),
inference(resolution,[],[f416,f322]) ).
fof(f322,plain,
! [X2,X0] :
( subset(X2,sK29(X0,X2))
| ~ in(X2,sK28(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f416,plain,
( ! [X2,X4] :
( ~ subset(sK10(X2),X4)
| ~ sP41(X2)
| sK10(X2) = X4
| ~ in(X4,X2)
| empty_set = X2 )
| ~ spl45_7 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f4517,plain,
( ~ spl45_203
| spl45_207
| spl45_202
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(avatar_split_clause,[],[f3122,f2194,f1012,f432,f423,f402,f3095,f3124,f3099]) ).
fof(f3122,plain,
( ! [X0] :
( sP2(sK37(sK9))
| ~ element(X0,powerset(powerset(sK9)))
| ~ ordinal(sK37(sK9))
| sP44(X0) )
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(subsumption_resolution,[],[f3081,f425]) ).
fof(f3081,plain,
( ! [X0] :
( sP2(sK37(sK9))
| ~ in(sK9,omega)
| sP44(X0)
| ~ ordinal(sK37(sK9))
| ~ element(X0,powerset(powerset(sK9))) )
| ~ spl45_4
| ~ spl45_9
| ~ spl45_11
| spl45_45
| spl45_153 ),
inference(superposition,[],[f387,f3070]) ).
fof(f3945,plain,
( spl45_242
| ~ spl45_8
| spl45_241
| ~ spl45_278 ),
inference(avatar_split_clause,[],[f3944,f3815,f3400,f419,f3404]) ).
fof(f419,plain,
( spl45_8
<=> ! [X4] :
( empty_set = X4
| ~ element(X4,powerset(powerset(empty_set)))
| in(sK33(X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_8])]) ).
fof(f3944,plain,
( in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ spl45_8
| spl45_241
| ~ spl45_278 ),
inference(subsumption_resolution,[],[f3943,f3816]) ).
fof(f3943,plain,
( in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ sP0(empty_set)
| ~ spl45_8
| spl45_241 ),
inference(subsumption_resolution,[],[f3933,f3401]) ).
fof(f3933,plain,
( in(sK33(sK11(empty_set)),sK11(empty_set))
| ~ sP0(empty_set)
| empty_set = sK11(empty_set)
| ~ spl45_8 ),
inference(resolution,[],[f420,f234]) ).
fof(f420,plain,
( ! [X4] :
( ~ element(X4,powerset(powerset(empty_set)))
| in(sK33(X4),X4)
| empty_set = X4 )
| ~ spl45_8 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f3896,plain,
( ~ spl45_241
| ~ spl45_11
| ~ spl45_153 ),
inference(avatar_split_clause,[],[f3870,f2194,f432,f3400]) ).
fof(f3870,plain,
( empty_set != sK11(empty_set)
| ~ spl45_11
| ~ spl45_153 ),
inference(backward_demodulation,[],[f1220,f2196]) ).
fof(f3827,plain,
( spl45_278
| ~ spl45_11
| ~ spl45_153 ),
inference(avatar_split_clause,[],[f3481,f2194,f432,f3815]) ).
fof(f3481,plain,
( sP0(empty_set)
| ~ spl45_11
| ~ spl45_153 ),
inference(backward_demodulation,[],[f434,f2196]) ).
fof(f3231,plain,
( ~ spl45_45
| ~ spl45_6
| ~ spl45_7 ),
inference(avatar_split_clause,[],[f2483,f415,f411,f1012]) ).
fof(f2483,plain,
( ~ sP3(sK9)
| ~ spl45_6
| ~ spl45_7 ),
inference(duplicate_literal_removal,[],[f2482]) ).
fof(f2482,plain,
( ~ sP3(sK9)
| ~ sP3(sK9)
| ~ spl45_6
| ~ spl45_7 ),
inference(resolution,[],[f2481,f317]) ).
fof(f317,plain,
! [X0] :
( in(sK25(X0),X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( in(sK25(X0),X0)
& in(sK25(X0),omega)
& empty_set != sK26(X0)
& element(sK26(X0),powerset(powerset(sK25(X0))))
& ! [X3] :
( ~ in(X3,sK26(X0))
| ( sK27(X0,X3) != X3
& subset(X3,sK27(X0,X3))
& in(sK27(X0,X3),sK26(X0)) ) )
& ordinal(sK25(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f172,f175,f174,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( in(X1,X0)
& in(X1,omega)
& ? [X2] :
( empty_set != X2
& element(X2,powerset(powerset(X1)))
& ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) ) )
& ordinal(X1) )
=> ( in(sK25(X0),X0)
& in(sK25(X0),omega)
& ? [X2] :
( empty_set != X2
& element(X2,powerset(powerset(sK25(X0))))
& ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) ) )
& ordinal(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ? [X2] :
( empty_set != X2
& element(X2,powerset(powerset(sK25(X0))))
& ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) ) )
=> ( empty_set != sK26(X0)
& element(sK26(X0),powerset(powerset(sK25(X0))))
& ! [X3] :
( ~ in(X3,sK26(X0))
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,sK26(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0,X3] :
( ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,sK26(X0)) )
=> ( sK27(X0,X3) != X3
& subset(X3,sK27(X0,X3))
& in(sK27(X0,X3),sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( in(X1,X0)
& in(X1,omega)
& ? [X2] :
( empty_set != X2
& element(X2,powerset(powerset(X1)))
& ! [X3] :
( ~ in(X3,X2)
| ? [X4] :
( X3 != X4
& subset(X3,X4)
& in(X4,X2) ) ) )
& ordinal(X1) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f2481,plain,
( ! [X0] :
( ~ in(sK25(X0),sK9)
| ~ sP3(X0) )
| ~ spl45_6
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f2478,f988]) ).
fof(f988,plain,
! [X7] :
( ~ in(sK25(X7),sK9)
| sP41(sK26(X7))
| ~ sP3(X7) ),
inference(subsumption_resolution,[],[f984,f316]) ).
fof(f316,plain,
! [X0] :
( in(sK25(X0),omega)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f984,plain,
! [X7] :
( ~ sP3(X7)
| ~ in(sK25(X7),sK9)
| ~ in(sK25(X7),omega)
| sP41(sK26(X7)) ),
inference(resolution,[],[f977,f314]) ).
fof(f314,plain,
! [X0] :
( element(sK26(X0),powerset(powerset(sK25(X0))))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f2478,plain,
( ! [X0] :
( ~ sP41(sK26(X0))
| ~ sP3(X0)
| ~ in(sK25(X0),sK9) )
| ~ spl45_6
| ~ spl45_7 ),
inference(duplicate_literal_removal,[],[f2476]) ).
fof(f2476,plain,
( ! [X0] :
( ~ in(sK25(X0),sK9)
| ~ sP41(sK26(X0))
| ~ sP3(X0)
| ~ sP3(X0) )
| ~ spl45_6
| ~ spl45_7 ),
inference(resolution,[],[f2475,f1353]) ).
fof(f1353,plain,
( ! [X7] :
( in(sK10(sK26(X7)),sK26(X7))
| ~ sP3(X7)
| ~ in(sK25(X7),sK9) )
| ~ spl45_6 ),
inference(subsumption_resolution,[],[f1352,f315]) ).
fof(f315,plain,
! [X0] :
( ~ sP3(X0)
| empty_set != sK26(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f1352,plain,
( ! [X7] :
( in(sK10(sK26(X7)),sK26(X7))
| ~ in(sK25(X7),sK9)
| ~ sP3(X7)
| empty_set = sK26(X7) )
| ~ spl45_6 ),
inference(subsumption_resolution,[],[f1271,f316]) ).
fof(f1271,plain,
( ! [X7] :
( in(sK10(sK26(X7)),sK26(X7))
| ~ in(sK25(X7),omega)
| ~ in(sK25(X7),sK9)
| ~ sP3(X7)
| empty_set = sK26(X7) )
| ~ spl45_6 ),
inference(resolution,[],[f1218,f314]) ).
fof(f2475,plain,
( ! [X1] :
( ~ in(sK10(sK26(X1)),sK26(X1))
| ~ sP41(sK26(X1))
| ~ sP3(X1) )
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f2474,f315]) ).
fof(f2474,plain,
( ! [X1] :
( ~ in(sK10(sK26(X1)),sK26(X1))
| empty_set = sK26(X1)
| ~ sP41(sK26(X1))
| ~ sP3(X1) )
| ~ spl45_7 ),
inference(duplicate_literal_removal,[],[f2473]) ).
fof(f2473,plain,
( ! [X1] :
( ~ in(sK10(sK26(X1)),sK26(X1))
| ~ sP3(X1)
| empty_set = sK26(X1)
| ~ sP3(X1)
| ~ in(sK10(sK26(X1)),sK26(X1))
| ~ sP41(sK26(X1)) )
| ~ spl45_7 ),
inference(resolution,[],[f1241,f311]) ).
fof(f311,plain,
! [X3,X0] :
( in(sK27(X0,X3),sK26(X0))
| ~ in(X3,sK26(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f1241,plain,
( ! [X3,X4] :
( ~ in(sK27(X4,sK10(X3)),X3)
| empty_set = X3
| ~ sP41(X3)
| ~ in(sK10(X3),sK26(X4))
| ~ sP3(X4) )
| ~ spl45_7 ),
inference(subsumption_resolution,[],[f1236,f313]) ).
fof(f313,plain,
! [X3,X0] :
( ~ in(X3,sK26(X0))
| ~ sP3(X0)
| sK27(X0,X3) != X3 ),
inference(cnf_transformation,[],[f176]) ).
fof(f1236,plain,
( ! [X3,X4] :
( ~ in(sK27(X4,sK10(X3)),X3)
| ~ in(sK10(X3),sK26(X4))
| sK10(X3) = sK27(X4,sK10(X3))
| ~ sP3(X4)
| empty_set = X3
| ~ sP41(X3) )
| ~ spl45_7 ),
inference(resolution,[],[f416,f312]) ).
fof(f312,plain,
! [X3,X0] :
( subset(X3,sK27(X0,X3))
| ~ in(X3,sK26(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f1194,plain,
( ~ spl45_10
| spl45_37 ),
inference(avatar_contradiction_clause,[],[f1193]) ).
fof(f1193,plain,
( $false
| ~ spl45_10
| spl45_37 ),
inference(subsumption_resolution,[],[f1192,f330]) ).
fof(f330,plain,
empty_set != sK31,
inference(cnf_transformation,[],[f189]) ).
fof(f1192,plain,
( empty_set = sK31
| ~ spl45_10
| spl45_37 ),
inference(subsumption_resolution,[],[f1191,f335]) ).
fof(f335,plain,
in(sK30,omega),
inference(cnf_transformation,[],[f189]) ).
fof(f1191,plain,
( ~ in(sK30,omega)
| empty_set = sK31
| ~ spl45_10
| spl45_37 ),
inference(subsumption_resolution,[],[f1130,f940]) ).
fof(f940,plain,
( ~ in(sK13(sK31),sK31)
| spl45_37 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f938,plain,
( spl45_37
<=> in(sK13(sK31),sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_37])]) ).
fof(f1130,plain,
( in(sK13(sK31),sK31)
| empty_set = sK31
| ~ in(sK30,omega)
| ~ spl45_10 ),
inference(resolution,[],[f1121,f331]) ).
fof(f331,plain,
element(sK31,powerset(powerset(sK30))),
inference(cnf_transformation,[],[f189]) ).
fof(f1121,plain,
( ! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| in(sK13(X1),X1)
| empty_set = X1
| ~ in(X0,omega) )
| ~ spl45_10 ),
inference(subsumption_resolution,[],[f429,f503]) ).
fof(f429,plain,
( ! [X0,X1] :
( ~ in(X0,omega)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(X0)))
| in(sK13(X1),X1)
| empty_set = X1 )
| ~ spl45_10 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl45_10
<=> ! [X0,X1] :
( in(sK13(X1),X1)
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| ~ in(X0,omega) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_10])]) ).
fof(f1050,plain,
( ~ spl45_36
| ~ spl45_5 ),
inference(avatar_split_clause,[],[f1047,f407,f934]) ).
fof(f934,plain,
( spl45_36
<=> sP42(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_36])]) ).
fof(f407,plain,
( spl45_5
<=> ! [X0,X1] :
( ~ sP42(X1)
| empty_set = X1
| ~ ordinal(X0)
| ~ element(X1,powerset(powerset(X0)))
| ~ in(X0,omega) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_5])]) ).
fof(f1047,plain,
( ~ sP42(sK31)
| ~ spl45_5 ),
inference(subsumption_resolution,[],[f1046,f335]) ).
fof(f1046,plain,
( ~ in(sK30,omega)
| ~ sP42(sK31)
| ~ spl45_5 ),
inference(subsumption_resolution,[],[f1038,f330]) ).
fof(f1038,plain,
( empty_set = sK31
| ~ in(sK30,omega)
| ~ sP42(sK31)
| ~ spl45_5 ),
inference(resolution,[],[f1029,f331]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ sP42(X1)
| ~ in(X0,omega)
| empty_set = X1 )
| ~ spl45_5 ),
inference(subsumption_resolution,[],[f408,f503]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ ordinal(X0)
| ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| ~ sP42(X1)
| ~ in(X0,omega) )
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f941,plain,
( spl45_36
| ~ spl45_37 ),
inference(avatar_split_clause,[],[f932,f938,f934]) ).
fof(f932,plain,
( ~ in(sK13(sK31),sK31)
| sP42(sK31) ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f931,plain,
( sP42(sK31)
| ~ in(sK13(sK31),sK31)
| ~ in(sK13(sK31),sK31) ),
inference(resolution,[],[f927,f334]) ).
fof(f334,plain,
! [X2] :
( in(sK32(X2),sK31)
| ~ in(X2,sK31) ),
inference(cnf_transformation,[],[f189]) ).
fof(f927,plain,
! [X7] :
( ~ in(sK32(sK13(X7)),X7)
| ~ in(sK13(X7),sK31)
| sP42(X7) ),
inference(subsumption_resolution,[],[f925,f332]) ).
fof(f332,plain,
! [X2] :
( ~ in(X2,sK31)
| sK32(X2) != X2 ),
inference(cnf_transformation,[],[f189]) ).
fof(f925,plain,
! [X7] :
( ~ in(sK13(X7),sK31)
| sK32(sK13(X7)) = sK13(X7)
| ~ in(sK32(sK13(X7)),X7)
| sP42(X7) ),
inference(resolution,[],[f383,f333]) ).
fof(f333,plain,
! [X2] :
( subset(X2,sK32(X2))
| ~ in(X2,sK31) ),
inference(cnf_transformation,[],[f189]) ).
fof(f383,plain,
! [X3,X1] :
( ~ subset(sK13(X1),X3)
| ~ in(X3,X1)
| sK13(X1) = X3
| sP42(X1) ),
inference(cnf_transformation,[],[f383_D]) ).
fof(f383_D,plain,
! [X1] :
( ! [X3] :
( ~ subset(sK13(X1),X3)
| ~ in(X3,X1)
| sK13(X1) = X3 )
<=> ~ sP42(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).
fof(f435,plain,
( spl45_11
| ~ spl45_3 ),
inference(avatar_split_clause,[],[f230,f398,f432]) ).
fof(f398,plain,
( spl45_3
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl45_3])]) ).
fof(f230,plain,
( ~ sP1
| sP0(sK9) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( in(sK9,omega)
& ! [X1] :
( ~ in(X1,sK9)
| ! [X2] :
( empty_set = X2
| ( ! [X4] :
( sK10(X2) = X4
| ~ in(X4,X2)
| ~ subset(sK10(X2),X4) )
& in(sK10(X2),X2) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ ordinal(X1) )
& sP0(sK9)
& ordinal(sK9) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f133,f135,f134]) ).
fof(f134,plain,
( ? [X0] :
( in(X0,omega)
& ! [X1] :
( ~ in(X1,X0)
| ! [X2] :
( empty_set = X2
| ? [X3] :
( ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) )
& in(X3,X2) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ ordinal(X1) )
& sP0(X0)
& ordinal(X0) )
=> ( in(sK9,omega)
& ! [X1] :
( ~ in(X1,sK9)
| ! [X2] :
( empty_set = X2
| ? [X3] :
( ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) )
& in(X3,X2) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ ordinal(X1) )
& sP0(sK9)
& ordinal(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) )
& in(X3,X2) )
=> ( ! [X4] :
( sK10(X2) = X4
| ~ in(X4,X2)
| ~ subset(sK10(X2),X4) )
& in(sK10(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X0] :
( in(X0,omega)
& ! [X1] :
( ~ in(X1,X0)
| ! [X2] :
( empty_set = X2
| ? [X3] :
( ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) )
& in(X3,X2) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ ordinal(X1) )
& sP0(X0)
& ordinal(X0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
( ? [X0] :
( in(X0,omega)
& ! [X1] :
( ~ in(X1,X0)
| ! [X2] :
( empty_set = X2
| ? [X3] :
( ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) )
& in(X3,X2) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ ordinal(X1) )
& sP0(X0)
& ordinal(X0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f430,plain,
( spl45_10
| spl45_3 ),
inference(avatar_split_clause,[],[f239,f398,f428]) ).
fof(f239,plain,
! [X0,X1] :
( sP1
| in(sK13(X1),X1)
| ~ in(X0,omega)
| empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ! [X0] :
( ~ in(X0,omega)
| ! [X1] :
( ( ! [X3] :
( sK13(X1) = X3
| ~ subset(sK13(X1),X3)
| ~ in(X3,X1) )
& in(sK13(X1),X1) )
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ ordinal(X0) )
| sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f142,f143]) ).
fof(f143,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ subset(X2,X3)
| ~ in(X3,X1) )
& in(X2,X1) )
=> ( ! [X3] :
( sK13(X1) = X3
| ~ subset(sK13(X1),X3)
| ~ in(X3,X1) )
& in(sK13(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ! [X0] :
( ~ in(X0,omega)
| ! [X1] :
( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ subset(X2,X3)
| ~ in(X3,X1) )
& in(X2,X1) )
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ ordinal(X0) )
| sP1 ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
( ! [X8] :
( ~ in(X8,omega)
| ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ ordinal(X8) )
| sP1 ),
inference(definition_folding,[],[f101,f118,f117]) ).
fof(f101,plain,
( ! [X8] :
( ~ in(X8,omega)
| ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ ordinal(X8) )
| ? [X0] :
( in(X0,omega)
& ! [X1] :
( ~ in(X1,X0)
| ! [X2] :
( empty_set = X2
| ? [X3] :
( ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) )
& in(X3,X2) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ ordinal(X1) )
& ? [X5] :
( empty_set != X5
& ! [X6] :
( ? [X7] :
( in(X7,X5)
& subset(X6,X7)
& X6 != X7 )
| ~ in(X6,X5) )
& element(X5,powerset(powerset(X0))) )
& ordinal(X0) ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
( ! [X8] :
( ! [X9] :
( ? [X10] :
( in(X10,X9)
& ! [X11] :
( X10 = X11
| ~ in(X11,X9)
| ~ subset(X10,X11) ) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega)
| ~ ordinal(X8) )
| ? [X0] :
( ? [X5] :
( ! [X6] :
( ~ in(X6,X5)
| ? [X7] :
( X6 != X7
& subset(X6,X7)
& in(X7,X5) ) )
& empty_set != X5
& element(X5,powerset(powerset(X0))) )
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( ? [X3] :
( in(X3,X2)
& ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) ) )
| empty_set = X2
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
( ! [X0] :
( ordinal(X0)
=> ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
( ( in(X4,X2)
& subset(X3,X4) )
=> X3 = X4 ) )
& empty_set != X2 ) ) ) ) )
=> ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( ! [X6] :
~ ( in(X6,X5)
& ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 ) )
& empty_set != X5 ) ) ) ) )
=> ! [X8] :
( ordinal(X8)
=> ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( in(X10,X9)
& ! [X11] :
( ( in(X11,X9)
& subset(X10,X11) )
=> X10 = X11 ) )
& empty_set != X9 ) ) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
( ! [X0] :
( ordinal(X0)
=> ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
( ( in(X4,X2)
& subset(X3,X4) )
=> X3 = X4 ) )
& empty_set != X2 ) ) ) ) )
=> ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( ! [X6] :
~ ( in(X6,X5)
& ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 ) )
& empty_set != X5 ) ) ) ) )
=> ! [X0] :
( ordinal(X0)
=> ( in(X0,omega)
=> ! [X8] :
( element(X8,powerset(powerset(X0)))
=> ~ ( empty_set != X8
& ! [X9] :
~ ( ! [X10] :
( ( subset(X9,X10)
& in(X10,X8) )
=> X9 = X10 )
& in(X9,X8) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_ordinal1__e18_27__finset_1__1) ).
fof(f426,plain,
( ~ spl45_3
| spl45_9 ),
inference(avatar_split_clause,[],[f233,f423,f398]) ).
fof(f233,plain,
( in(sK9,omega)
| ~ sP1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f421,plain,
( ~ spl45_1
| spl45_8 ),
inference(avatar_split_clause,[],[f328,f419,f390]) ).
fof(f328,plain,
! [X4] :
( empty_set = X4
| ~ in(empty_set,omega)
| in(sK33(X4),X4)
| ~ element(X4,powerset(powerset(empty_set))) ),
inference(cnf_transformation,[],[f189]) ).
fof(f417,plain,
( ~ spl45_3
| spl45_7 ),
inference(avatar_split_clause,[],[f382,f415,f398]) ).
fof(f382,plain,
! [X2,X4] :
( empty_set = X2
| ~ sP1
| ~ sP41(X2)
| sK10(X2) = X4
| ~ subset(sK10(X2),X4)
| ~ in(X4,X2) ),
inference(general_splitting,[],[f232,f381_D]) ).
fof(f232,plain,
! [X2,X1,X4] :
( ~ in(X1,sK9)
| empty_set = X2
| sK10(X2) = X4
| ~ in(X4,X2)
| ~ subset(sK10(X2),X4)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,omega)
| ~ ordinal(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f413,plain,
( ~ spl45_3
| spl45_6 ),
inference(avatar_split_clause,[],[f231,f411,f398]) ).
fof(f231,plain,
! [X2,X1] :
( in(sK10(X2),X2)
| ~ sP1
| ~ in(X1,omega)
| ~ ordinal(X1)
| empty_set = X2
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,sK9) ),
inference(cnf_transformation,[],[f136]) ).
fof(f409,plain,
( spl45_3
| spl45_5 ),
inference(avatar_split_clause,[],[f384,f407,f398]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sP42(X1)
| ~ in(X0,omega)
| ~ element(X1,powerset(powerset(X0)))
| ~ ordinal(X0)
| sP1
| empty_set = X1 ),
inference(general_splitting,[],[f240,f383_D]) ).
fof(f240,plain,
! [X3,X0,X1] :
( ~ in(X0,omega)
| sK13(X1) = X3
| ~ subset(sK13(X1),X3)
| ~ in(X3,X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(X0)))
| ~ ordinal(X0)
| sP1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f405,plain,
( ~ spl45_3
| spl45_4 ),
inference(avatar_split_clause,[],[f229,f402,f398]) ).
fof(f229,plain,
( ordinal(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f396,plain,
( ~ spl45_1
| spl45_2 ),
inference(avatar_split_clause,[],[f329,f394,f390]) ).
fof(f329,plain,
! [X6,X4] :
( ~ subset(sK33(X4),X6)
| ~ element(X4,powerset(powerset(empty_set)))
| empty_set = X4
| ~ in(X6,X4)
| sK33(X4) = X6
| ~ in(empty_set,omega) ),
inference(cnf_transformation,[],[f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU301+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:10:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (19196)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)
% 0.18/0.44 % (19188)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50 % (19178)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)
% 0.18/0.51 % (19190)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)
% 0.18/0.51 % (19189)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)
% 0.18/0.51 % (19167)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)
% 0.18/0.51 % (19168)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)
% 0.18/0.51 % (19170)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)
% 0.18/0.51 % (19181)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)
% 0.18/0.51 % (19192)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 % (19172)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)
% 0.18/0.51 % (19194)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)
% 0.18/0.51 % (19169)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)
% 0.18/0.52 % (19171)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (19173)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)
% 0.18/0.52 % (19195)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (19193)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)
% 0.18/0.52 % (19174)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (19175)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (19175)Instruction limit reached!
% 0.18/0.52 % (19175)------------------------------
% 0.18/0.52 % (19175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (19175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (19175)Termination reason: Unknown
% 0.18/0.52 % (19175)Termination phase: Naming
% 0.18/0.52
% 0.18/0.52 % (19175)Memory used [KB]: 1023
% 0.18/0.52 % (19175)Time elapsed: 0.002 s
% 0.18/0.52 % (19175)Instructions burned: 2 (million)
% 0.18/0.52 % (19175)------------------------------
% 0.18/0.52 % (19175)------------------------------
% 0.18/0.52 % (19184)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (19182)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)
% 0.18/0.52 % (19186)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)
% 0.18/0.52 % (19183)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)
% 0.18/0.52 % (19191)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (19185)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 TRYING [1]
% 0.18/0.53 TRYING [2]
% 0.18/0.53 % (19187)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)
% 0.18/0.53 % (19176)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)
% 0.18/0.53 % (19179)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (19177)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (19168)Refutation not found, incomplete strategy% (19168)------------------------------
% 0.18/0.53 % (19168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (19180)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (19168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (19168)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (19168)Memory used [KB]: 5884
% 0.18/0.53 % (19168)Time elapsed: 0.131 s
% 0.18/0.53 % (19168)Instructions burned: 14 (million)
% 0.18/0.53 % (19168)------------------------------
% 0.18/0.53 % (19168)------------------------------
% 0.18/0.54 TRYING [1]
% 0.18/0.54 TRYING [2]
% 0.18/0.54 TRYING [3]
% 0.18/0.54 % (19174)Instruction limit reached!
% 0.18/0.54 % (19174)------------------------------
% 0.18/0.54 % (19174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (19174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (19174)Termination reason: Unknown
% 0.18/0.54 % (19174)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (19174)Memory used [KB]: 5628
% 0.18/0.54 % (19174)Time elapsed: 0.005 s
% 0.18/0.54 % (19174)Instructions burned: 7 (million)
% 0.18/0.54 % (19174)------------------------------
% 0.18/0.54 % (19174)------------------------------
% 0.18/0.55 TRYING [3]
% 0.18/0.55 TRYING [1]
% 0.18/0.55 TRYING [4]
% 0.18/0.56 TRYING [2]
% 0.18/0.56 TRYING [4]
% 0.18/0.56 TRYING [3]
% 0.18/0.57 TRYING [4]
% 0.18/0.58 % (19169)Instruction limit reached!
% 0.18/0.58 % (19169)------------------------------
% 0.18/0.58 % (19169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (19169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (19169)Termination reason: Unknown
% 0.18/0.58 % (19169)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (19169)Memory used [KB]: 1535
% 0.18/0.58 % (19169)Time elapsed: 0.178 s
% 0.18/0.58 % (19169)Instructions burned: 37 (million)
% 0.18/0.58 % (19169)------------------------------
% 0.18/0.58 % (19169)------------------------------
% 1.94/0.59 TRYING [5]
% 1.94/0.60 % (19172)Instruction limit reached!
% 1.94/0.60 % (19172)------------------------------
% 1.94/0.60 % (19172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (19170)Instruction limit reached!
% 1.94/0.60 % (19170)------------------------------
% 1.94/0.60 % (19170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (19171)Instruction limit reached!
% 1.94/0.60 % (19171)------------------------------
% 1.94/0.60 % (19171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (19173)Instruction limit reached!
% 2.03/0.61 % (19173)------------------------------
% 2.03/0.61 % (19173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (19173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61 % (19173)Termination reason: Unknown
% 2.03/0.61 % (19173)Termination phase: Finite model building SAT solving
% 2.03/0.61
% 2.03/0.61 % (19173)Memory used [KB]: 7291
% 2.03/0.61 % (19173)Time elapsed: 0.148 s
% 2.03/0.61 % (19173)Instructions burned: 51 (million)
% 2.03/0.61 % (19173)------------------------------
% 2.03/0.61 % (19173)------------------------------
% 2.03/0.61 % (19176)Instruction limit reached!
% 2.03/0.61 % (19176)------------------------------
% 2.03/0.61 % (19176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (19176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61 % (19176)Termination reason: Unknown
% 2.03/0.61 % (19176)Termination phase: Saturation
% 2.03/0.61
% 2.03/0.61 % (19176)Memory used [KB]: 2302
% 2.03/0.61 % (19176)Time elapsed: 0.213 s
% 2.03/0.61 % (19176)Instructions burned: 51 (million)
% 2.03/0.61 % (19176)------------------------------
% 2.03/0.61 % (19176)------------------------------
% 2.03/0.61 % (19184)Instruction limit reached!
% 2.03/0.61 % (19184)------------------------------
% 2.03/0.61 % (19184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.61 % (19184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61 % (19184)Termination reason: Unknown
% 2.03/0.61 % (19184)Termination phase: Finite model building SAT solving
% 2.03/0.61
% 2.03/0.61 % (19184)Memory used [KB]: 7675
% 2.03/0.61 % (19184)Time elapsed: 0.190 s
% 2.03/0.61 % (19184)Instructions burned: 60 (million)
% 2.03/0.61 % (19184)------------------------------
% 2.03/0.61 % (19184)------------------------------
% 2.03/0.61 % (19170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.61 % (19170)Termination reason: Unknown
% 2.03/0.61 % (19170)Termination phase: Saturation
% 2.03/0.61
% 2.03/0.61 % (19170)Memory used [KB]: 6652
% 2.03/0.61 % (19170)Time elapsed: 0.222 s
% 2.03/0.61 % (19170)Instructions burned: 52 (million)
% 2.03/0.61 % (19170)------------------------------
% 2.03/0.61 % (19170)------------------------------
% 2.03/0.62 % (19171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (19171)Termination reason: Unknown
% 2.03/0.62 % (19171)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (19171)Memory used [KB]: 6780
% 2.03/0.62 % (19171)Time elapsed: 0.222 s
% 2.03/0.62 % (19171)Instructions burned: 51 (million)
% 2.03/0.62 % (19171)------------------------------
% 2.03/0.62 % (19171)------------------------------
% 2.03/0.62 % (19172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62 % (19172)Termination reason: Unknown
% 2.03/0.62 % (19172)Termination phase: Saturation
% 2.03/0.62
% 2.03/0.62 % (19172)Memory used [KB]: 6396
% 2.03/0.62 % (19172)Time elapsed: 0.222 s
% 2.03/0.62 % (19172)Instructions burned: 48 (million)
% 2.03/0.62 % (19172)------------------------------
% 2.03/0.62 % (19172)------------------------------
% 2.18/0.63 % (19177)Instruction limit reached!
% 2.18/0.63 % (19177)------------------------------
% 2.18/0.63 % (19177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (19177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (19177)Termination reason: Unknown
% 2.18/0.63 % (19177)Termination phase: Saturation
% 2.18/0.63
% 2.18/0.63 % (19177)Memory used [KB]: 6524
% 2.18/0.63 % (19177)Time elapsed: 0.247 s
% 2.18/0.63 % (19177)Instructions burned: 50 (million)
% 2.18/0.63 % (19177)------------------------------
% 2.18/0.63 % (19177)------------------------------
% 2.18/0.63 % (19181)Instruction limit reached!
% 2.18/0.63 % (19181)------------------------------
% 2.18/0.63 % (19181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.65 % (19181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.65 % (19181)Termination reason: Unknown
% 2.18/0.65 % (19181)Termination phase: Saturation
% 2.18/0.65
% 2.18/0.65 % (19181)Memory used [KB]: 6908
% 2.18/0.65 % (19181)Time elapsed: 0.044 s
% 2.18/0.65 % (19181)Instructions burned: 69 (million)
% 2.18/0.65 % (19181)------------------------------
% 2.18/0.65 % (19181)------------------------------
% 2.18/0.66 % (19193)Instruction limit reached!
% 2.18/0.66 % (19193)------------------------------
% 2.18/0.66 % (19193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66 % (19193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (19193)Termination reason: Unknown
% 2.18/0.66 % (19193)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (19193)Memory used [KB]: 6908
% 2.18/0.66 % (19193)Time elapsed: 0.039 s
% 2.18/0.66 % (19193)Instructions burned: 69 (million)
% 2.18/0.66 % (19193)------------------------------
% 2.18/0.66 % (19193)------------------------------
% 2.18/0.66 % (19182)Instruction limit reached!
% 2.18/0.66 % (19182)------------------------------
% 2.18/0.66 % (19182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66 % (19182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (19182)Termination reason: Unknown
% 2.18/0.66 % (19182)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (19182)Memory used [KB]: 2174
% 2.18/0.66 % (19182)Time elapsed: 0.264 s
% 2.18/0.66 % (19182)Instructions burned: 76 (million)
% 2.18/0.66 % (19182)------------------------------
% 2.18/0.66 % (19182)------------------------------
% 2.18/0.66 % (19197)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)
% 2.18/0.66 % (19188)Instruction limit reached!
% 2.18/0.66 % (19188)------------------------------
% 2.18/0.66 % (19188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.66 % (19188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.66 % (19188)Termination reason: Unknown
% 2.18/0.66 % (19188)Termination phase: Saturation
% 2.18/0.66
% 2.18/0.66 % (19188)Memory used [KB]: 7803
% 2.18/0.66 % (19188)Time elapsed: 0.283 s
% 2.18/0.66 % (19188)Instructions burned: 139 (million)
% 2.18/0.66 % (19188)------------------------------
% 2.18/0.66 % (19188)------------------------------
% 2.18/0.68 % (19198)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)
% 2.18/0.69 % (19178)Instruction limit reached!
% 2.18/0.69 % (19178)------------------------------
% 2.18/0.69 % (19178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.69 % (19178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.69 % (19178)Termination reason: Unknown
% 2.18/0.69 % (19178)Termination phase: Saturation
% 2.18/0.69
% 2.18/0.69 % (19178)Memory used [KB]: 7803
% 2.18/0.69 % (19178)Time elapsed: 0.259 s
% 2.18/0.69 % (19178)Instructions burned: 100 (million)
% 2.18/0.69 % (19178)------------------------------
% 2.18/0.69 % (19178)------------------------------
% 2.18/0.70 % (19199)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)
% 2.18/0.70 % (19183)Instruction limit reached!
% 2.18/0.70 % (19183)------------------------------
% 2.18/0.70 % (19183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.70 % (19183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.70 % (19183)Termination reason: Unknown
% 2.18/0.70 % (19183)Termination phase: Saturation
% 2.18/0.70
% 2.18/0.70 % (19183)Memory used [KB]: 6780
% 2.18/0.70 % (19183)Time elapsed: 0.301 s
% 2.18/0.70 % (19183)Instructions burned: 99 (million)
% 2.18/0.70 % (19183)------------------------------
% 2.18/0.70 % (19183)------------------------------
% 2.18/0.71 % (19180)Instruction limit reached!
% 2.18/0.71 % (19180)------------------------------
% 2.18/0.71 % (19180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.71 % (19180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.71 % (19180)Termination reason: Unknown
% 2.18/0.71 % (19180)Termination phase: Saturation
% 2.18/0.71
% 2.18/0.71 % (19180)Memory used [KB]: 7036
% 2.18/0.71 % (19180)Time elapsed: 0.334 s
% 2.18/0.71 % (19180)Instructions burned: 100 (million)
% 2.18/0.71 % (19180)------------------------------
% 2.18/0.71 % (19180)------------------------------
% 2.18/0.71 % (19186)Instruction limit reached!
% 2.18/0.71 % (19186)------------------------------
% 2.18/0.71 % (19186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.71 % (19186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.71 % (19186)Termination reason: Unknown
% 2.18/0.71 % (19186)Termination phase: Saturation
% 2.18/0.71
% 2.18/0.71 % (19186)Memory used [KB]: 2302
% 2.18/0.71 % (19186)Time elapsed: 0.331 s
% 2.18/0.71 % (19186)Instructions burned: 100 (million)
% 2.18/0.71 % (19186)------------------------------
% 2.18/0.71 % (19186)------------------------------
% 2.75/0.72 % (19200)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.75/0.72 % (19185)Instruction limit reached!
% 2.75/0.72 % (19185)------------------------------
% 2.75/0.72 % (19185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.72 % (19185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.72 % (19185)Termination reason: Unknown
% 2.75/0.72 % (19185)Termination phase: Saturation
% 2.75/0.72
% 2.75/0.72 % (19185)Memory used [KB]: 7164
% 2.75/0.72 % (19185)Time elapsed: 0.334 s
% 2.75/0.72 % (19185)Instructions burned: 100 (million)
% 2.75/0.72 % (19185)------------------------------
% 2.75/0.72 % (19185)------------------------------
% 2.75/0.72 % (19201)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.75/0.72 % (19179)Instruction limit reached!
% 2.75/0.72 % (19179)------------------------------
% 2.75/0.72 % (19179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.72 % (19179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.72 % (19179)Termination reason: Unknown
% 2.75/0.72 % (19179)Termination phase: Saturation
% 2.75/0.72
% 2.75/0.72 % (19179)Memory used [KB]: 7419
% 2.75/0.72 % (19179)Time elapsed: 0.347 s
% 2.75/0.72 % (19179)Instructions burned: 102 (million)
% 2.75/0.72 % (19179)------------------------------
% 2.75/0.72 % (19179)------------------------------
% 2.75/0.74 % (19205)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)
% 2.75/0.75 % (19204)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)
% 2.75/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.75/0.75 % (19206)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)
% 2.75/0.76 % (19207)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)
% 2.75/0.76 % (19202)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)
% 2.75/0.76 % (19203)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)
% 2.75/0.78 % (19208)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)
% 3.01/0.79 % (19210)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)
% 3.01/0.79 % (19209)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.01/0.83 % (19212)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.01/0.83 % (19211)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)
% 3.01/0.84 % (19213)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)
% 3.01/0.84 % (19199)Instruction limit reached!
% 3.01/0.84 % (19199)------------------------------
% 3.01/0.84 % (19199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.84 % (19199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.84 % (19199)Termination reason: Unknown
% 3.01/0.84 % (19199)Termination phase: Saturation
% 3.01/0.84
% 3.01/0.84 % (19199)Memory used [KB]: 7291
% 3.01/0.84 % (19199)Time elapsed: 0.271 s
% 3.01/0.84 % (19199)Instructions burned: 91 (million)
% 3.01/0.84 % (19199)------------------------------
% 3.01/0.84 % (19199)------------------------------
% 3.01/0.85 % (19215)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)
% 3.01/0.86 % (19217)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.01/0.86 % (19216)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)
% 3.01/0.86 % (19194)Instruction limit reached!
% 3.01/0.86 % (19194)------------------------------
% 3.01/0.86 % (19194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.86 % (19194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.86 % (19194)Termination reason: Unknown
% 3.01/0.86 % (19194)Termination phase: Saturation
% 3.01/0.86
% 3.01/0.86 % (19194)Memory used [KB]: 3709
% 3.01/0.86 % (19194)Time elapsed: 0.482 s
% 3.01/0.86 % (19194)Instructions burned: 178 (million)
% 3.01/0.86 % (19194)------------------------------
% 3.01/0.86 % (19194)------------------------------
% 3.01/0.86 % (19214)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)
% 3.01/0.87 % (19204)Instruction limit reached!
% 3.01/0.87 % (19204)------------------------------
% 3.01/0.87 % (19204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.01/0.87 % (19204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.01/0.87 % (19204)Termination reason: Unknown
% 3.01/0.87 % (19204)Termination phase: Saturation
% 3.01/0.87
% 3.01/0.87 % (19204)Memory used [KB]: 7036
% 3.01/0.87 % (19204)Time elapsed: 0.037 s
% 3.01/0.87 % (19204)Instructions burned: 70 (million)
% 3.01/0.87 % (19204)------------------------------
% 3.01/0.87 % (19204)------------------------------
% 3.36/0.88 % (19187)Instruction limit reached!
% 3.36/0.88 % (19187)------------------------------
% 3.36/0.88 % (19187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.88 % (19187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.88 % (19187)Termination reason: Unknown
% 3.36/0.88 % (19187)Termination phase: Saturation
% 3.36/0.88
% 3.36/0.88 % (19187)Memory used [KB]: 9083
% 3.36/0.88 % (19187)Time elapsed: 0.503 s
% 3.36/0.88 % (19187)Instructions burned: 178 (million)
% 3.36/0.88 % (19187)------------------------------
% 3.36/0.88 % (19187)------------------------------
% 3.46/0.92 % (19207)Instruction limit reached!
% 3.46/0.92 % (19207)------------------------------
% 3.46/0.92 % (19207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.92 % (19207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.92 % (19207)Termination reason: Unknown
% 3.46/0.92 % (19207)Termination phase: Saturation
% 3.46/0.92
% 3.46/0.92 % (19207)Memory used [KB]: 7291
% 3.46/0.92 % (19207)Time elapsed: 0.280 s
% 3.46/0.92 % (19207)Instructions burned: 90 (million)
% 3.46/0.92 % (19207)------------------------------
% 3.46/0.92 % (19207)------------------------------
% 3.46/0.98 % (19218)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.46/0.99 % (19214)Instruction limit reached!
% 3.46/0.99 % (19214)------------------------------
% 3.46/0.99 % (19214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.99 % (19214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.99 % (19214)Termination reason: Unknown
% 3.46/0.99 % (19214)Termination phase: Saturation
% 3.46/0.99
% 3.46/0.99 % (19214)Memory used [KB]: 6908
% 3.46/0.99 % (19214)Time elapsed: 0.037 s
% 3.46/0.99 % (19214)Instructions burned: 69 (million)
% 3.46/0.99 % (19214)------------------------------
% 3.46/0.99 % (19214)------------------------------
% 3.46/1.00 % (19220)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)
% 3.46/1.00 % (19219)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 (2994ds/90Mi)
% 3.84/1.03 % (19221)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.84/1.04 % (19198)Instruction limit reached!
% 3.84/1.04 % (19198)------------------------------
% 3.84/1.04 % (19198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.04 % (19198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.04 % (19198)Termination reason: Unknown
% 3.84/1.04 % (19198)Termination phase: Saturation
% 3.84/1.04
% 3.84/1.04 % (19198)Memory used [KB]: 3709
% 3.84/1.04 % (19198)Time elapsed: 0.439 s
% 3.84/1.04 % (19198)Instructions burned: 211 (million)
% 3.84/1.04 % (19198)------------------------------
% 3.84/1.04 % (19198)------------------------------
% 3.84/1.06 % (19222)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)
% 3.84/1.06 % (19197)First to succeed.
% 3.84/1.07 % (19196)Instruction limit reached!
% 3.84/1.07 % (19196)------------------------------
% 3.84/1.07 % (19196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.07 % (19196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.07 % (19196)Termination reason: Unknown
% 3.84/1.07 % (19196)Termination phase: Saturation
% 3.84/1.07
% 3.84/1.07 % (19196)Memory used [KB]: 10234
% 3.84/1.07 % (19196)Time elapsed: 0.667 s
% 3.84/1.07 % (19196)Instructions burned: 355 (million)
% 3.84/1.07 % (19196)------------------------------
% 3.84/1.07 % (19196)------------------------------
% 3.84/1.08 % (19189)Instruction limit reached!
% 3.84/1.08 % (19189)------------------------------
% 3.84/1.08 % (19189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.08 % (19189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.08 % (19189)Termination reason: Unknown
% 3.84/1.08 % (19189)Termination phase: Saturation
% 3.84/1.08
% 3.84/1.08 % (19189)Memory used [KB]: 1663
% 3.84/1.08 % (19189)Time elapsed: 0.639 s
% 3.84/1.08 % (19189)Instructions burned: 500 (million)
% 3.84/1.08 % (19189)------------------------------
% 3.84/1.08 % (19189)------------------------------
% 3.84/1.08 % (19197)Refutation found. Thanks to Tanya!
% 3.84/1.08 % SZS status Theorem for theBenchmark
% 3.84/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.08 % (19197)------------------------------
% 3.84/1.08 % (19197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.84/1.08 % (19197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.84/1.08 % (19197)Termination reason: Refutation
% 3.84/1.08
% 3.84/1.08 % (19197)Memory used [KB]: 8955
% 3.84/1.08 % (19197)Time elapsed: 0.506 s
% 3.84/1.08 % (19197)Instructions burned: 280 (million)
% 3.84/1.08 % (19197)------------------------------
% 3.84/1.08 % (19197)------------------------------
% 3.84/1.08 % (19166)Success in time 0.741 s
%------------------------------------------------------------------------------