TSTP Solution File: SYN036+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN036+1 : TPTP v8.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 : Tue May 21 08:20:27 EDT 2024
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 50
% Syntax : Number of formulae : 208 ( 1 unt; 0 def)
% Number of atoms : 948 ( 0 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 1196 ( 456 ~; 580 |; 83 &)
% ( 51 <=>; 24 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 26 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-1 aty)
% Number of variables : 346 ( 258 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f449,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f81,f125,f134,f135,f146,f161,f163,f194,f199,f200,f201,f210,f211,f224,f225,f243,f247,f252,f257,f280,f283,f288,f294,f304,f305,f307,f332,f336,f340,f345,f347,f350,f352,f383,f386,f389,f395,f398,f427,f448]) ).
fof(f448,plain,
( ~ spl26_7
| ~ spl26_10 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl26_7
| ~ spl26_10 ),
inference(subsumption_resolution,[],[f446,f106]) ).
fof(f106,plain,
( ! [X2] : ~ big_p(X2)
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl26_7
<=> ! [X2] : ~ big_p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).
fof(f446,plain,
( ! [X0] : big_p(X0)
| ~ spl26_7
| ~ spl26_10 ),
inference(resolution,[],[f120,f106]) ).
fof(f120,plain,
( ! [X1] :
( big_p(sK16(X1))
| big_p(X1) )
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl26_10
<=> ! [X1] :
( big_p(sK16(X1))
| big_p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).
fof(f427,plain,
( ~ spl26_7
| ~ spl26_27 ),
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f426,plain,
( $false
| ~ spl26_7
| ~ spl26_27 ),
inference(resolution,[],[f242,f106]) ).
fof(f242,plain,
( big_p(sK3)
| ~ spl26_27 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl26_27
<=> big_p(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).
fof(f398,plain,
( spl26_12
| spl26_1
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f397,f98,f73,f127]) ).
fof(f127,plain,
( spl26_12
<=> ! [X1] :
( ~ big_p(sK16(X1))
| ~ big_p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).
fof(f73,plain,
( spl26_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f98,plain,
( spl26_5
<=> ! [X1] : ~ big_q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f397,plain,
( ! [X1] :
( ~ big_p(sK16(X1))
| ~ big_p(X1) )
| spl26_1
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f396,f99]) ).
fof(f99,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f396,plain,
( ! [X1] :
( big_q(sK15)
| ~ big_p(sK16(X1))
| ~ big_p(X1) )
| spl26_1
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f366,f99]) ).
fof(f366,plain,
( ! [X0,X1] :
( big_q(X0)
| big_q(sK15)
| ~ big_p(sK16(X1))
| ~ big_p(X1) )
| spl26_1 ),
inference(resolution,[],[f75,f67]) ).
fof(f67,plain,
! [X2,X4] :
( sP0
| big_q(X2)
| big_q(sK15)
| ~ big_p(sK16(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( sP0
| ( ( ( ( ~ big_q(sK14)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_q(X2)
| big_q(sK15) ) )
| ! [X4] :
( ( ~ big_p(sK16(X4))
| ~ big_p(X4) )
& ( big_p(sK16(X4))
| big_p(X4) ) ) )
& ( ( ( big_q(sK17)
| ~ big_q(sK18) )
& ( ! [X8] : big_q(X8)
| ! [X9] : ~ big_q(X9) ) )
| ! [X11] :
( ( big_p(sK19)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(sK19) ) ) ) ) )
& ( ( ( ! [X13] :
( ( big_p(sK20)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(sK20) ) )
| ( ( ~ big_q(sK21)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_q(X16)
| big_q(sK22) ) ) )
& ( ( ( big_q(sK23)
| ~ big_q(sK24) )
& ( ! [X20] : big_q(X20)
| ! [X21] : ~ big_q(X21) ) )
| ! [X22] :
( ( ~ big_p(sK25(X22))
| ~ big_p(X22) )
& ( big_p(sK25(X22))
| big_p(X22) ) ) ) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25])],[f23,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24]) ).
fof(f24,plain,
( ? [X0] : ~ big_q(X0)
=> ~ big_q(sK14) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X3] : big_q(X3)
=> big_q(sK15) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X4] :
( ? [X5] :
( ( ~ big_p(X5)
| ~ big_p(X4) )
& ( big_p(X5)
| big_p(X4) ) )
=> ( ( ~ big_p(sK16(X4))
| ~ big_p(X4) )
& ( big_p(sK16(X4))
| big_p(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X6] : big_q(X6)
=> big_q(sK17) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X7] : ~ big_q(X7)
=> ~ big_q(sK18) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X10] :
! [X11] :
( ( big_p(X10)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(X10) ) )
=> ! [X11] :
( ( big_p(sK19)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X12] :
! [X13] :
( ( big_p(X12)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(X12) ) )
=> ! [X13] :
( ( big_p(sK20)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(sK20) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X14] : ~ big_q(X14)
=> ~ big_q(sK21) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X17] : big_q(X17)
=> big_q(sK22) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X18] : big_q(X18)
=> big_q(sK23) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X19] : ~ big_q(X19)
=> ~ big_q(sK24) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X22] :
( ? [X23] :
( ( ~ big_p(X23)
| ~ big_p(X22) )
& ( big_p(X23)
| big_p(X22) ) )
=> ( ( ~ big_p(sK25(X22))
| ~ big_p(X22) )
& ( big_p(sK25(X22))
| big_p(X22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ( sP0
| ( ( ( ( ? [X0] : ~ big_q(X0)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_q(X2)
| ? [X3] : big_q(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_p(X5)
| ~ big_p(X4) )
& ( big_p(X5)
| big_p(X4) ) ) )
& ( ( ( ? [X6] : big_q(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X8] : big_q(X8)
| ! [X9] : ~ big_q(X9) ) )
| ? [X10] :
! [X11] :
( ( big_p(X10)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( big_p(X12)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(X12) ) )
| ( ( ? [X14] : ~ big_q(X14)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_q(X16)
| ? [X17] : big_q(X17) ) ) )
& ( ( ( ? [X18] : big_q(X18)
| ? [X19] : ~ big_q(X19) )
& ( ! [X20] : big_q(X20)
| ! [X21] : ~ big_q(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ big_p(X23)
| ~ big_p(X22) )
& ( big_p(X23)
| big_p(X22) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
( ( sP0
| ( ( ( ( ? [X3] : ~ big_q(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_q(X3)
| ? [X2] : big_q(X2) ) )
| ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_q(X3) )
& ( ! [X3] : big_q(X3)
| ! [X2] : ~ big_q(X2) ) )
| ? [X0] :
! [X1] :
( ( big_p(X0)
| ~ big_p(X1) )
& ( big_p(X1)
| ~ big_p(X0) ) ) ) ) )
& ( ( ( ? [X0] :
! [X1] :
( ( big_p(X0)
| ~ big_p(X1) )
& ( big_p(X1)
| ~ big_p(X0) ) )
| ( ( ? [X3] : ~ big_q(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_q(X3)
| ? [X2] : big_q(X2) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_q(X3) )
& ( ! [X3] : big_q(X3)
| ! [X2] : ~ big_q(X2) ) )
| ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( sP0
<=> ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f75,plain,
( ~ sP0
| spl26_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f395,plain,
( spl26_4
| spl26_7
| ~ spl26_2
| ~ spl26_5 ),
inference(avatar_split_clause,[],[f394,f98,f77,f105,f95]) ).
fof(f95,plain,
( spl26_4
<=> ! [X2] : big_p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f77,plain,
( spl26_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f394,plain,
( ! [X2,X0] :
( ~ big_p(X0)
| big_p(X2) )
| ~ spl26_2
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f393,f99]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( ~ big_p(X0)
| big_q(X1)
| big_p(X2) )
| ~ spl26_2
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f369,f99]) ).
fof(f369,plain,
( ! [X2,X0,X1] :
( ~ big_p(X0)
| big_q(sK13(X1))
| big_q(X1)
| big_p(X2) )
| ~ spl26_2 ),
inference(resolution,[],[f78,f38]) ).
fof(f38,plain,
! [X21,X22,X20] :
( ~ sP1
| ~ big_p(X21)
| big_q(sK13(X22))
| big_q(X22)
| big_p(X20) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( sP1
| ( ( ( ( ~ big_p(sK2)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_p(X2)
| big_p(sK3) ) )
| ! [X4] :
( ( ~ big_q(sK4(X4))
| ~ big_q(X4) )
& ( big_q(sK4(X4))
| big_q(X4) ) ) )
& ( ( ( big_p(sK5)
| ~ big_p(sK6) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_p(X9) ) )
| ! [X11] :
( ( big_q(sK7)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(sK7) ) ) ) ) )
& ( ( ( ! [X13] :
( ( big_q(sK8)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(sK8) ) )
| ( ( ~ big_p(sK9)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_p(X16)
| big_p(sK10) ) ) )
& ( ( ( big_p(sK11)
| ~ big_p(sK12) )
& ( ! [X20] : big_p(X20)
| ! [X21] : ~ big_p(X21) ) )
| ! [X22] :
( ( ~ big_q(sK13(X22))
| ~ big_q(X22) )
& ( big_q(sK13(X22))
| big_q(X22) ) ) ) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
( ? [X0] : ~ big_p(X0)
=> ~ big_p(sK2) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X3] : big_p(X3)
=> big_p(sK3) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X4] :
( ? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) )
=> ( ( ~ big_q(sK4(X4))
| ~ big_q(X4) )
& ( big_q(sK4(X4))
| big_q(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X6] : big_p(X6)
=> big_p(sK5) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X7] : ~ big_p(X7)
=> ~ big_p(sK6) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X10] :
! [X11] :
( ( big_q(X10)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(X10) ) )
=> ! [X11] :
( ( big_q(sK7)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X12] :
! [X13] :
( ( big_q(X12)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(X12) ) )
=> ! [X13] :
( ( big_q(sK8)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(sK8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X14] : ~ big_p(X14)
=> ~ big_p(sK9) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X17] : big_p(X17)
=> big_p(sK10) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X18] : big_p(X18)
=> big_p(sK11) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X19] : ~ big_p(X19)
=> ~ big_p(sK12) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X22] :
( ? [X23] :
( ( ~ big_q(X23)
| ~ big_q(X22) )
& ( big_q(X23)
| big_q(X22) ) )
=> ( ( ~ big_q(sK13(X22))
| ~ big_q(X22) )
& ( big_q(sK13(X22))
| big_q(X22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ( sP1
| ( ( ( ( ? [X0] : ~ big_p(X0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_p(X2)
| ? [X3] : big_p(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_p(X9) ) )
| ? [X10] :
! [X11] :
( ( big_q(X10)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( big_q(X12)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(X12) ) )
| ( ( ? [X14] : ~ big_p(X14)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_p(X16)
| ? [X17] : big_p(X17) ) ) )
& ( ( ( ? [X18] : big_p(X18)
| ? [X19] : ~ big_p(X19) )
& ( ! [X20] : big_p(X20)
| ! [X21] : ~ big_p(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ big_q(X23)
| ~ big_q(X22) )
& ( big_q(X23)
| big_q(X22) ) ) ) )
| ~ sP1 ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
( ( sP1
| ( ( ( ( ? [X7] : ~ big_p(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_p(X7)
| ? [X6] : big_p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X7] : big_p(X7)
| ! [X6] : ~ big_p(X6) ) )
| ? [X4] :
! [X5] :
( ( big_q(X4)
| ~ big_q(X5) )
& ( big_q(X5)
| ~ big_q(X4) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( big_q(X4)
| ~ big_q(X5) )
& ( big_q(X5)
| ~ big_q(X4) ) )
| ( ( ? [X7] : ~ big_p(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_p(X7)
| ? [X6] : big_p(X6) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X7] : big_p(X7)
| ! [X6] : ~ big_p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( sP1
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f78,plain,
( sP1
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f389,plain,
( ~ spl26_5
| ~ spl26_26 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl26_5
| ~ spl26_26 ),
inference(subsumption_resolution,[],[f377,f99]) ).
fof(f377,plain,
( ! [X0] : big_q(X0)
| ~ spl26_5
| ~ spl26_26 ),
inference(resolution,[],[f99,f238]) ).
fof(f238,plain,
( ! [X1] :
( big_q(sK4(X1))
| big_q(X1) )
| ~ spl26_26 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl26_26
<=> ! [X1] :
( big_q(sK4(X1))
| big_q(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).
fof(f386,plain,
( ~ spl26_5
| ~ spl26_11 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl26_5
| ~ spl26_11 ),
inference(resolution,[],[f99,f124]) ).
fof(f124,plain,
( big_q(sK15)
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl26_11
<=> big_q(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).
fof(f383,plain,
( ~ spl26_5
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl26_5
| ~ spl26_20 ),
inference(resolution,[],[f99,f198]) ).
fof(f198,plain,
( big_q(sK22)
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl26_20
<=> big_q(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).
fof(f352,plain,
( ~ spl26_5
| ~ spl26_6 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| ~ spl26_5
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f99,f102]) ).
fof(f102,plain,
( ! [X0] : big_q(X0)
| ~ spl26_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl26_6
<=> ! [X0] : big_q(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).
fof(f350,plain,
( ~ spl26_4
| ~ spl26_12 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| ~ spl26_4
| ~ spl26_12 ),
inference(subsumption_resolution,[],[f348,f96]) ).
fof(f96,plain,
( ! [X2] : big_p(X2)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f348,plain,
( ! [X1] : ~ big_p(X1)
| ~ spl26_4
| ~ spl26_12 ),
inference(subsumption_resolution,[],[f128,f96]) ).
fof(f128,plain,
( ! [X1] :
( ~ big_p(sK16(X1))
| ~ big_p(X1) )
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f347,plain,
( ~ spl26_4
| spl26_29 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl26_4
| spl26_29 ),
inference(subsumption_resolution,[],[f251,f96]) ).
fof(f251,plain,
( ~ big_p(sK2)
| spl26_29 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl26_29
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_29])]) ).
fof(f345,plain,
( spl26_2
| ~ spl26_4
| ~ spl26_6 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| spl26_2
| ~ spl26_4
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f343,f102]) ).
fof(f343,plain,
( ! [X1] : ~ big_q(X1)
| spl26_2
| ~ spl26_4
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f342,f102]) ).
fof(f342,plain,
( ! [X1] :
( ~ big_q(sK4(X1))
| ~ big_q(X1) )
| spl26_2
| ~ spl26_4 ),
inference(subsumption_resolution,[],[f341,f96]) ).
fof(f341,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_q(sK4(X1))
| ~ big_q(X1) )
| spl26_2
| ~ spl26_4 ),
inference(subsumption_resolution,[],[f323,f96]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ big_p(sK2)
| ~ big_p(X0)
| ~ big_q(sK4(X1))
| ~ big_q(X1) )
| spl26_2 ),
inference(resolution,[],[f79,f53]) ).
fof(f53,plain,
! [X1,X4] :
( sP1
| ~ big_p(sK2)
| ~ big_p(X1)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f79,plain,
( ~ sP1
| spl26_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f340,plain,
( ~ spl26_6
| ~ spl26_28 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl26_6
| ~ spl26_28 ),
inference(subsumption_resolution,[],[f338,f102]) ).
fof(f338,plain,
( ! [X0] : ~ big_q(X0)
| ~ spl26_6
| ~ spl26_28 ),
inference(resolution,[],[f246,f102]) ).
fof(f246,plain,
( ! [X1] :
( ~ big_q(sK4(X1))
| ~ big_q(X1) )
| ~ spl26_28 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl26_28
<=> ! [X1] :
( ~ big_q(sK4(X1))
| ~ big_q(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).
fof(f336,plain,
( ~ spl26_6
| spl26_19 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| ~ spl26_6
| spl26_19 ),
inference(resolution,[],[f102,f193]) ).
fof(f193,plain,
( ~ big_q(sK21)
| spl26_19 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl26_19
<=> big_q(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).
fof(f332,plain,
( ~ spl26_4
| ~ spl26_21 ),
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f331,plain,
( $false
| ~ spl26_4
| ~ spl26_21 ),
inference(subsumption_resolution,[],[f327,f96]) ).
fof(f327,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl26_4
| ~ spl26_21 ),
inference(resolution,[],[f96,f204]) ).
fof(f204,plain,
( ! [X0] :
( ~ big_p(sK25(X0))
| ~ big_p(X0) )
| ~ spl26_21 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl26_21
<=> ! [X0] :
( ~ big_p(sK25(X0))
| ~ big_p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).
fof(f307,plain,
( ~ spl26_4
| spl26_31 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl26_4
| spl26_31 ),
inference(subsumption_resolution,[],[f287,f96]) ).
fof(f287,plain,
( ~ big_p(sK9)
| spl26_31 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl26_31
<=> big_p(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).
fof(f305,plain,
( ~ spl26_3
| spl26_4
| spl26_5
| spl26_6
| spl26_1 ),
inference(avatar_split_clause,[],[f258,f73,f101,f98,f95,f91]) ).
fof(f91,plain,
( spl26_3
<=> big_p(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f258,plain,
( ! [X2,X0,X1] :
( big_q(X0)
| ~ big_q(X1)
| big_p(X2)
| ~ big_p(sK19) )
| spl26_1 ),
inference(resolution,[],[f75,f62]) ).
fof(f62,plain,
! [X11,X8,X9] :
( sP0
| big_q(X8)
| ~ big_q(X9)
| big_p(X11)
| ~ big_p(sK19) ),
inference(cnf_transformation,[],[f36]) ).
fof(f304,plain,
( spl26_7
| spl26_3
| spl26_5
| spl26_6
| spl26_1 ),
inference(avatar_split_clause,[],[f259,f73,f101,f98,f91,f105]) ).
fof(f259,plain,
( ! [X2,X0,X1] :
( big_q(X0)
| ~ big_q(X1)
| big_p(sK19)
| ~ big_p(X2) )
| spl26_1 ),
inference(resolution,[],[f75,f63]) ).
fof(f63,plain,
! [X11,X8,X9] :
( sP0
| big_q(X8)
| ~ big_q(X9)
| big_p(sK19)
| ~ big_p(X11) ),
inference(cnf_transformation,[],[f36]) ).
fof(f294,plain,
( spl26_6
| spl26_7
| ~ spl26_31
| ~ spl26_30
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f271,f77,f277,f285,f105,f101]) ).
fof(f277,plain,
( spl26_30
<=> big_q(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).
fof(f271,plain,
( ! [X0,X1] :
( ~ big_q(sK8)
| ~ big_p(sK9)
| ~ big_p(X0)
| big_q(X1) )
| ~ spl26_2 ),
inference(resolution,[],[f78,f43]) ).
fof(f43,plain,
! [X15,X13] :
( ~ sP1
| ~ big_q(sK8)
| ~ big_p(sK9)
| ~ big_p(X15)
| big_q(X13) ),
inference(cnf_transformation,[],[f21]) ).
fof(f288,plain,
( spl26_30
| spl26_7
| ~ spl26_31
| spl26_5
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f273,f77,f98,f285,f105,f277]) ).
fof(f273,plain,
( ! [X0,X1] :
( ~ big_q(X0)
| ~ big_p(sK9)
| ~ big_p(X1)
| big_q(sK8) )
| ~ spl26_2 ),
inference(resolution,[],[f78,f45]) ).
fof(f45,plain,
! [X15,X13] :
( ~ sP1
| ~ big_q(X13)
| ~ big_p(sK9)
| ~ big_p(X15)
| big_q(sK8) ),
inference(cnf_transformation,[],[f21]) ).
fof(f283,plain,
( spl26_30
| spl26_5
| ~ spl26_2
| ~ spl26_7 ),
inference(avatar_split_clause,[],[f282,f105,f77,f98,f277]) ).
fof(f282,plain,
( ! [X0] :
( ~ big_q(X0)
| big_q(sK8) )
| ~ spl26_2
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f281,f106]) ).
fof(f281,plain,
( ! [X0] :
( ~ big_q(X0)
| big_p(sK10)
| big_q(sK8) )
| ~ spl26_2
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f272,f106]) ).
fof(f272,plain,
( ! [X0,X1] :
( ~ big_q(X0)
| big_p(X1)
| big_p(sK10)
| big_q(sK8) )
| ~ spl26_2 ),
inference(resolution,[],[f78,f44]) ).
fof(f44,plain,
! [X16,X13] :
( ~ sP1
| ~ big_q(X13)
| big_p(X16)
| big_p(sK10)
| big_q(sK8) ),
inference(cnf_transformation,[],[f21]) ).
fof(f280,plain,
( spl26_6
| ~ spl26_30
| ~ spl26_2
| ~ spl26_7 ),
inference(avatar_split_clause,[],[f275,f105,f77,f277,f101]) ).
fof(f275,plain,
( ! [X1] :
( ~ big_q(sK8)
| big_q(X1) )
| ~ spl26_2
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f274,f106]) ).
fof(f274,plain,
( ! [X1] :
( ~ big_q(sK8)
| big_p(sK10)
| big_q(X1) )
| ~ spl26_2
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f270,f106]) ).
fof(f270,plain,
( ! [X0,X1] :
( ~ big_q(sK8)
| big_p(X0)
| big_p(sK10)
| big_q(X1) )
| ~ spl26_2 ),
inference(resolution,[],[f78,f42]) ).
fof(f42,plain,
! [X16,X13] :
( ~ sP1
| ~ big_q(sK8)
| big_p(X16)
| big_p(sK10)
| big_q(X13) ),
inference(cnf_transformation,[],[f21]) ).
fof(f257,plain,
( ~ spl26_7
| ~ spl26_22 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl26_7
| ~ spl26_22 ),
inference(subsumption_resolution,[],[f255,f106]) ).
fof(f255,plain,
( ! [X0] : big_p(X0)
| ~ spl26_7
| ~ spl26_22 ),
inference(resolution,[],[f208,f106]) ).
fof(f208,plain,
( ! [X0] :
( big_p(sK25(X0))
| big_p(X0) )
| ~ spl26_22 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl26_22
<=> ! [X0] :
( big_p(sK25(X0))
| big_p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).
fof(f252,plain,
( spl26_26
| spl26_7
| ~ spl26_29
| spl26_2 ),
inference(avatar_split_clause,[],[f218,f77,f249,f105,f237]) ).
fof(f218,plain,
( ! [X0,X1] :
( ~ big_p(sK2)
| ~ big_p(X0)
| big_q(sK4(X1))
| big_q(X1) )
| spl26_2 ),
inference(resolution,[],[f79,f52]) ).
fof(f52,plain,
! [X1,X4] :
( sP1
| ~ big_p(sK2)
| ~ big_p(X1)
| big_q(sK4(X4))
| big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f247,plain,
( spl26_28
| spl26_27
| spl26_4
| spl26_2 ),
inference(avatar_split_clause,[],[f217,f77,f95,f240,f245]) ).
fof(f217,plain,
( ! [X0,X1] :
( big_p(X0)
| big_p(sK3)
| ~ big_q(sK4(X1))
| ~ big_q(X1) )
| spl26_2 ),
inference(resolution,[],[f79,f51]) ).
fof(f51,plain,
! [X2,X4] :
( sP1
| big_p(X2)
| big_p(sK3)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f243,plain,
( spl26_26
| spl26_27
| spl26_4
| spl26_2 ),
inference(avatar_split_clause,[],[f216,f77,f95,f240,f237]) ).
fof(f216,plain,
( ! [X0,X1] :
( big_p(X0)
| big_p(sK3)
| big_q(sK4(X1))
| big_q(X1) )
| spl26_2 ),
inference(resolution,[],[f79,f50]) ).
fof(f50,plain,
! [X2,X4] :
( sP1
| big_p(X2)
| big_p(sK3)
| big_q(sK4(X4))
| big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f225,plain,
( spl26_5
| spl26_23
| spl26_7
| spl26_4
| spl26_2 ),
inference(avatar_split_clause,[],[f213,f77,f95,f105,f221,f98]) ).
fof(f221,plain,
( spl26_23
<=> big_q(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( big_p(X0)
| ~ big_p(X1)
| big_q(sK7)
| ~ big_q(X2) )
| spl26_2 ),
inference(resolution,[],[f79,f47]) ).
fof(f47,plain,
! [X11,X8,X9] :
( sP1
| big_p(X8)
| ~ big_p(X9)
| big_q(sK7)
| ~ big_q(X11) ),
inference(cnf_transformation,[],[f21]) ).
fof(f224,plain,
( ~ spl26_23
| spl26_6
| spl26_7
| spl26_4
| spl26_2 ),
inference(avatar_split_clause,[],[f212,f77,f95,f105,f101,f221]) ).
fof(f212,plain,
( ! [X2,X0,X1] :
( big_p(X0)
| ~ big_p(X1)
| big_q(X2)
| ~ big_q(sK7) )
| spl26_2 ),
inference(resolution,[],[f79,f46]) ).
fof(f46,plain,
! [X11,X8,X9] :
( sP1
| big_p(X8)
| ~ big_p(X9)
| big_q(X11)
| ~ big_q(sK7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f211,plain,
( spl26_6
| spl26_22
| spl26_5
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f164,f73,f98,f207,f101]) ).
fof(f164,plain,
( ! [X2,X0,X1] :
( ~ big_q(X0)
| big_p(sK25(X1))
| big_p(X1)
| big_q(X2) )
| ~ spl26_1 ),
inference(resolution,[],[f74,f54]) ).
fof(f54,plain,
! [X21,X22,X20] :
( ~ sP0
| ~ big_q(X21)
| big_p(sK25(X22))
| big_p(X22)
| big_q(X20) ),
inference(cnf_transformation,[],[f36]) ).
fof(f74,plain,
( sP0
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f210,plain,
( spl26_6
| spl26_21
| spl26_5
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f165,f73,f98,f203,f101]) ).
fof(f165,plain,
( ! [X2,X0,X1] :
( ~ big_q(X0)
| ~ big_p(sK25(X1))
| ~ big_p(X1)
| big_q(X2) )
| ~ spl26_1 ),
inference(resolution,[],[f74,f55]) ).
fof(f55,plain,
! [X21,X22,X20] :
( ~ sP0
| ~ big_q(X21)
| ~ big_p(sK25(X22))
| ~ big_p(X22)
| big_q(X20) ),
inference(cnf_transformation,[],[f36]) ).
fof(f201,plain,
( spl26_4
| spl26_20
| spl26_6
| ~ spl26_18
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f168,f73,f187,f101,f196,f95]) ).
fof(f187,plain,
( spl26_18
<=> big_p(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).
fof(f168,plain,
( ! [X0,X1] :
( ~ big_p(sK20)
| big_q(X0)
| big_q(sK22)
| big_p(X1) )
| ~ spl26_1 ),
inference(resolution,[],[f74,f58]) ).
fof(f58,plain,
! [X16,X13] :
( ~ sP0
| ~ big_p(sK20)
| big_q(X16)
| big_q(sK22)
| big_p(X13) ),
inference(cnf_transformation,[],[f36]) ).
fof(f200,plain,
( spl26_4
| spl26_5
| ~ spl26_19
| ~ spl26_18
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f169,f73,f187,f191,f98,f95]) ).
fof(f169,plain,
( ! [X0,X1] :
( ~ big_p(sK20)
| ~ big_q(sK21)
| ~ big_q(X0)
| big_p(X1) )
| ~ spl26_1 ),
inference(resolution,[],[f74,f59]) ).
fof(f59,plain,
! [X15,X13] :
( ~ sP0
| ~ big_p(sK20)
| ~ big_q(sK21)
| ~ big_q(X15)
| big_p(X13) ),
inference(cnf_transformation,[],[f36]) ).
fof(f199,plain,
( spl26_18
| spl26_20
| spl26_6
| spl26_7
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f170,f73,f105,f101,f196,f187]) ).
fof(f170,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| big_q(X1)
| big_q(sK22)
| big_p(sK20) )
| ~ spl26_1 ),
inference(resolution,[],[f74,f60]) ).
fof(f60,plain,
! [X16,X13] :
( ~ sP0
| ~ big_p(X13)
| big_q(X16)
| big_q(sK22)
| big_p(sK20) ),
inference(cnf_transformation,[],[f36]) ).
fof(f194,plain,
( spl26_18
| spl26_5
| ~ spl26_19
| spl26_7
| ~ spl26_1 ),
inference(avatar_split_clause,[],[f171,f73,f105,f191,f98,f187]) ).
fof(f171,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_q(sK21)
| ~ big_q(X1)
| big_p(sK20) )
| ~ spl26_1 ),
inference(resolution,[],[f74,f61]) ).
fof(f61,plain,
! [X15,X13] :
( ~ sP0
| ~ big_p(X13)
| ~ big_q(sK21)
| ~ big_q(X15)
| big_p(sK20) ),
inference(cnf_transformation,[],[f36]) ).
fof(f163,plain,
( ~ spl26_6
| spl26_13 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f162,plain,
( $false
| ~ spl26_6
| spl26_13 ),
inference(resolution,[],[f133,f102]) ).
fof(f133,plain,
( ~ big_q(sK14)
| spl26_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl26_13
<=> big_q(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f161,plain,
( ~ spl26_4
| ~ spl26_7 ),
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f160,plain,
( $false
| ~ spl26_4
| ~ spl26_7 ),
inference(subsumption_resolution,[],[f106,f96]) ).
fof(f146,plain,
( spl26_4
| spl26_7
| ~ spl26_2
| ~ spl26_6 ),
inference(avatar_split_clause,[],[f145,f101,f77,f105,f95]) ).
fof(f145,plain,
( ! [X2,X0] :
( ~ big_p(X0)
| big_p(X2) )
| ~ spl26_2
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f144,f102]) ).
fof(f144,plain,
( ! [X2,X0,X1] :
( ~ big_p(X0)
| ~ big_q(X1)
| big_p(X2) )
| ~ spl26_2
| ~ spl26_6 ),
inference(subsumption_resolution,[],[f137,f102]) ).
fof(f137,plain,
( ! [X2,X0,X1] :
( ~ big_p(X0)
| ~ big_q(sK13(X1))
| ~ big_q(X1)
| big_p(X2) )
| ~ spl26_2 ),
inference(resolution,[],[f78,f39]) ).
fof(f39,plain,
! [X21,X22,X20] :
( ~ sP1
| ~ big_p(X21)
| ~ big_q(sK13(X22))
| ~ big_q(X22)
| big_p(X20) ),
inference(cnf_transformation,[],[f21]) ).
fof(f135,plain,
( spl26_12
| spl26_5
| ~ spl26_13
| spl26_1 ),
inference(avatar_split_clause,[],[f89,f73,f131,f98,f127]) ).
fof(f89,plain,
( ! [X0,X1] :
( ~ big_q(sK14)
| ~ big_q(X0)
| ~ big_p(sK16(X1))
| ~ big_p(X1) )
| spl26_1 ),
inference(resolution,[],[f75,f69]) ).
fof(f69,plain,
! [X1,X4] :
( sP0
| ~ big_q(sK14)
| ~ big_q(X1)
| ~ big_p(sK16(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f134,plain,
( spl26_10
| spl26_5
| ~ spl26_13
| spl26_1 ),
inference(avatar_split_clause,[],[f88,f73,f131,f98,f119]) ).
fof(f88,plain,
( ! [X0,X1] :
( ~ big_q(sK14)
| ~ big_q(X0)
| big_p(sK16(X1))
| big_p(X1) )
| spl26_1 ),
inference(resolution,[],[f75,f68]) ).
fof(f68,plain,
! [X1,X4] :
( sP0
| ~ big_q(sK14)
| ~ big_q(X1)
| big_p(sK16(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f125,plain,
( spl26_10
| spl26_11
| spl26_6
| spl26_1 ),
inference(avatar_split_clause,[],[f86,f73,f101,f122,f119]) ).
fof(f86,plain,
( ! [X0,X1] :
( big_q(X0)
| big_q(sK15)
| big_p(sK16(X1))
| big_p(X1) )
| spl26_1 ),
inference(resolution,[],[f75,f66]) ).
fof(f66,plain,
! [X2,X4] :
( sP0
| big_q(X2)
| big_q(sK15)
| big_p(sK16(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f81,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f70,f77,f73]) ).
fof(f70,plain,
( sP1
| sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( ~ sP1
| ~ sP0 )
& ( sP1
| sP0 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( sP0
<~> sP1 ),
inference(definition_folding,[],[f3,f5,f4]) ).
fof(f3,plain,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<~> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_q(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_p(X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel34) ).
fof(f80,plain,
( ~ spl26_1
| ~ spl26_2 ),
inference(avatar_split_clause,[],[f71,f77,f73]) ).
fof(f71,plain,
( ~ sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN036+1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 13:39:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.73 % (10135)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.73 % (10130)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73 % (10128)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.73 % (10131)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73 % (10132)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.73 % (10133)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.73 % (10129)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.73 % (10134)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.73 % (10133)Refutation not found, incomplete strategy% (10133)------------------------------
% 0.57/0.73 % (10133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (10133)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (10133)Memory used [KB]: 965
% 0.57/0.73 % (10133)Time elapsed: 0.003 s
% 0.57/0.73 % (10133)Instructions burned: 3 (million)
% 0.57/0.73 % (10135)First to succeed.
% 0.57/0.73 % (10133)------------------------------
% 0.57/0.73 % (10133)------------------------------
% 0.57/0.74 % (10134)Also succeeded, but the first one will report.
% 0.57/0.74 % (10129)Also succeeded, but the first one will report.
% 0.57/0.74 % (10135)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10127"
% 0.57/0.74 % (10128)Also succeeded, but the first one will report.
% 0.57/0.74 % (10130)Also succeeded, but the first one will report.
% 0.57/0.74 % (10135)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Theorem for theBenchmark
% 0.57/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.74 % (10135)------------------------------
% 0.57/0.74 % (10135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (10135)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (10135)Memory used [KB]: 1200
% 0.57/0.74 % (10135)Time elapsed: 0.006 s
% 0.57/0.74 % (10135)Instructions burned: 13 (million)
% 0.57/0.74 % (10127)Success in time 0.384 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------