TSTP Solution File: COM022+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM022+4 : TPTP v8.2.0. Released v4.0.0.
% 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 : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:10:04 EDT 2024
% Result : Theorem 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 35
% Syntax : Number of formulae : 128 ( 13 unt; 0 def)
% Number of atoms : 1270 ( 124 equ)
% Maximal formula atoms : 96 ( 9 avg)
% Number of connectives : 1397 ( 255 ~; 407 |; 697 &)
% ( 16 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 18 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-1 aty)
% Number of variables : 228 ( 75 !; 153 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f535,plain,
$false,
inference(avatar_sat_refutation,[],[f297,f349,f358,f386,f395,f400,f405,f406,f449,f456,f471,f476,f488,f509,f525,f527,f532,f534]) ).
fof(f534,plain,
~ spl38_32,
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| ~ spl38_32 ),
inference(resolution,[],[f485,f285]) ).
fof(f285,plain,
~ sP5(xb),
inference(equality_resolution,[],[f208]) ).
fof(f208,plain,
! [X0] :
( xb != X0
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xb,xR,X0)
& ~ sdtmndtplgtdt0(xb,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xb,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xb,xR)
& xb != X0 )
| ~ sP5(X0) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X16] :
( ( ~ sdtmndtasgtdt0(xb,xR,X16)
& ~ sdtmndtplgtdt0(xb,xR,X16)
& ! [X18] :
( ~ sdtmndtplgtdt0(X18,xR,X16)
| ~ aReductOfIn0(X18,xb,xR)
| ~ aElement0(X18) )
& ~ aReductOfIn0(X16,xb,xR)
& xb != X16 )
| ~ sP5(X16) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X16] :
( ( ~ sdtmndtasgtdt0(xb,xR,X16)
& ~ sdtmndtplgtdt0(xb,xR,X16)
& ! [X18] :
( ~ sdtmndtplgtdt0(X18,xR,X16)
| ~ aReductOfIn0(X18,xb,xR)
| ~ aElement0(X18) )
& ~ aReductOfIn0(X16,xb,xR)
& xb != X16 )
| ~ sP5(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f485,plain,
( sP5(xb)
| ~ spl38_32 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl38_32
<=> sP5(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_32])]) ).
fof(f532,plain,
( ~ spl38_31
| spl38_32
| ~ spl38_25
| ~ spl38_24
| ~ spl38_14
| ~ spl38_23 ),
inference(avatar_split_clause,[],[f531,f392,f351,f397,f402,f483,f479]) ).
fof(f479,plain,
( spl38_31
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_31])]) ).
fof(f402,plain,
( spl38_25
<=> aElement0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_25])]) ).
fof(f397,plain,
( spl38_24
<=> aReductOfIn0(sK37,xa,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_24])]) ).
fof(f351,plain,
( spl38_14
<=> xa = xc ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f392,plain,
( spl38_23
<=> sdtmndtplgtdt0(sK37,xR,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_23])]) ).
fof(f531,plain,
( ~ aReductOfIn0(sK37,xa,xR)
| ~ aElement0(sK37)
| sP5(xb)
| ~ aElement0(xb)
| ~ spl38_14
| ~ spl38_23 ),
inference(forward_demodulation,[],[f530,f353]) ).
fof(f353,plain,
( xa = xc
| ~ spl38_14 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f530,plain,
( ~ aReductOfIn0(sK37,xc,xR)
| ~ aElement0(sK37)
| sP5(xb)
| ~ aElement0(xb)
| ~ spl38_23 ),
inference(resolution,[],[f394,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xc,xR)
| ~ aElement0(X1)
| sP5(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ! [X0] :
( ( ~ sdtmndtasgtdt0(xc,xR,X0)
& ~ sdtmndtplgtdt0(xc,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xc,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xc,xR)
& xc != X0 )
| sP5(X0)
| ~ aElement0(X0) )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sK36,xR,xc)
& aReductOfIn0(sK36,xa,xR)
& aElement0(sK36) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(sK37,xR,xb)
& aReductOfIn0(sK37,xa,xR)
& aElement0(sK37) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ( sP4
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,xc)
| ~ aReductOfIn0(X4,xa,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(xc,xa,xR) )
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X5] :
( ~ sdtmndtplgtdt0(X5,xR,xb)
| ~ aReductOfIn0(X5,xa,xR)
| ~ aElement0(X5) )
& ~ aReductOfIn0(xb,xa,xR) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f124,f126,f125]) ).
fof(f125,plain,
( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xc)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(sK36,xR,xc)
& aReductOfIn0(sK36,xa,xR)
& aElement0(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X3] :
( sdtmndtplgtdt0(X3,xR,xb)
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(sK37,xR,xb)
& aReductOfIn0(sK37,xa,xR)
& aElement0(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ! [X0] :
( ( ~ sdtmndtasgtdt0(xc,xR,X0)
& ~ sdtmndtplgtdt0(xc,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xc,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xc,xR)
& xc != X0 )
| sP5(X0)
| ~ aElement0(X0) )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xc)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,xb)
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ( sP4
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,xc)
| ~ aReductOfIn0(X4,xa,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(xc,xa,xR) )
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X5] :
( ~ sdtmndtplgtdt0(X5,xR,xb)
| ~ aReductOfIn0(X5,xa,xR)
| ~ aElement0(X5) )
& ~ aReductOfIn0(xb,xa,xR) ) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( ! [X16] :
( ( ~ sdtmndtasgtdt0(xc,xR,X16)
& ~ sdtmndtplgtdt0(xc,xR,X16)
& ! [X17] :
( ~ sdtmndtplgtdt0(X17,xR,X16)
| ~ aReductOfIn0(X17,xc,xR)
| ~ aElement0(X17) )
& ~ aReductOfIn0(X16,xc,xR)
& xc != X16 )
| sP5(X16)
| ~ aElement0(X16) )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X14] :
( sdtmndtplgtdt0(X14,xR,xc)
& aReductOfIn0(X14,xa,xR)
& aElement0(X14) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X15] :
( sdtmndtplgtdt0(X15,xR,xb)
& aReductOfIn0(X15,xa,xR)
& aElement0(X15) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ( sP4
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xc)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) )
& ~ aReductOfIn0(xc,xa,xR) )
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,xa,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,xa,xR) ) ) ),
inference(definition_folding,[],[f53,f60,f59,f58,f57]) ).
fof(f57,plain,
! [X4] :
( ? [X5] :
( sdtmndtasgtdt0(xc,xR,X5)
& ( ( sdtmndtplgtdt0(xc,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,xc,xR)
& aElement0(X6) )
| aReductOfIn0(X5,xc,xR) ) )
| xc = X5 )
& sdtmndtasgtdt0(xb,xR,X5)
& ( ( sdtmndtplgtdt0(xb,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,xb,xR)
& aElement0(X7) )
| aReductOfIn0(X5,xb,xR) ) )
| xb = X5 )
& aNormalFormOfIn0(X5,X4,xR)
& ! [X8] : ~ aReductOfIn0(X8,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X9] :
( sdtmndtplgtdt0(X9,xR,X5)
& aReductOfIn0(X9,X4,xR)
& aElement0(X9) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
| ~ sP2(X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f58,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( sP2(X4)
& sdtmndtasgtdt0(X3,xR,X4)
& ( ( sdtmndtplgtdt0(X3,xR,X4)
& ( ? [X10] :
( sdtmndtplgtdt0(X10,xR,X4)
& aReductOfIn0(X10,X3,xR)
& aElement0(X10) )
| aReductOfIn0(X4,X3,xR) ) )
| X3 = X4 )
& sdtmndtasgtdt0(X2,xR,X4)
& ( ( sdtmndtplgtdt0(X2,xR,X4)
& ( ? [X11] :
( sdtmndtplgtdt0(X11,xR,X4)
& aReductOfIn0(X11,X2,xR)
& aElement0(X11) )
| aReductOfIn0(X4,X2,xR) ) )
| X2 = X4 )
& aElement0(X4) )
& sdtmndtasgtdt0(X3,xR,xc)
& ( ( sdtmndtplgtdt0(X3,xR,xc)
& ( ? [X12] :
( sdtmndtplgtdt0(X12,xR,xc)
& aReductOfIn0(X12,X3,xR)
& aElement0(X12) )
| aReductOfIn0(xc,X3,xR) ) )
| xc = X3 )
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
| ~ sP3(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f59,plain,
( ? [X2] :
( sP3(X2)
& sdtmndtasgtdt0(X2,xR,xb)
& ( ( sdtmndtplgtdt0(X2,xR,xb)
& ( ? [X13] :
( sdtmndtplgtdt0(X13,xR,xb)
& aReductOfIn0(X13,X2,xR)
& aElement0(X13) )
| aReductOfIn0(xb,X2,xR) ) )
| xb = X2 )
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f53,plain,
( ! [X16] :
( ( ~ sdtmndtasgtdt0(xc,xR,X16)
& ~ sdtmndtplgtdt0(xc,xR,X16)
& ! [X17] :
( ~ sdtmndtplgtdt0(X17,xR,X16)
| ~ aReductOfIn0(X17,xc,xR)
| ~ aElement0(X17) )
& ~ aReductOfIn0(X16,xc,xR)
& xc != X16 )
| ( ~ sdtmndtasgtdt0(xb,xR,X16)
& ~ sdtmndtplgtdt0(xb,xR,X16)
& ! [X18] :
( ~ sdtmndtplgtdt0(X18,xR,X16)
| ~ aReductOfIn0(X18,xb,xR)
| ~ aElement0(X18) )
& ~ aReductOfIn0(X16,xb,xR)
& xb != X16 )
| ~ aElement0(X16) )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X14] :
( sdtmndtplgtdt0(X14,xR,xc)
& aReductOfIn0(X14,xa,xR)
& aElement0(X14) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X15] :
( sdtmndtplgtdt0(X15,xR,xb)
& aReductOfIn0(X15,xa,xR)
& aElement0(X15) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sdtmndtasgtdt0(xc,xR,X5)
& ( ( sdtmndtplgtdt0(xc,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,xc,xR)
& aElement0(X6) )
| aReductOfIn0(X5,xc,xR) ) )
| xc = X5 )
& sdtmndtasgtdt0(xb,xR,X5)
& ( ( sdtmndtplgtdt0(xb,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,xb,xR)
& aElement0(X7) )
| aReductOfIn0(X5,xb,xR) ) )
| xb = X5 )
& aNormalFormOfIn0(X5,X4,xR)
& ! [X8] : ~ aReductOfIn0(X8,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X9] :
( sdtmndtplgtdt0(X9,xR,X5)
& aReductOfIn0(X9,X4,xR)
& aElement0(X9) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
& sdtmndtasgtdt0(X3,xR,X4)
& ( ( sdtmndtplgtdt0(X3,xR,X4)
& ( ? [X10] :
( sdtmndtplgtdt0(X10,xR,X4)
& aReductOfIn0(X10,X3,xR)
& aElement0(X10) )
| aReductOfIn0(X4,X3,xR) ) )
| X3 = X4 )
& sdtmndtasgtdt0(X2,xR,X4)
& ( ( sdtmndtplgtdt0(X2,xR,X4)
& ( ? [X11] :
( sdtmndtplgtdt0(X11,xR,X4)
& aReductOfIn0(X11,X2,xR)
& aElement0(X11) )
| aReductOfIn0(X4,X2,xR) ) )
| X2 = X4 )
& aElement0(X4) )
& sdtmndtasgtdt0(X3,xR,xc)
& ( ( sdtmndtplgtdt0(X3,xR,xc)
& ( ? [X12] :
( sdtmndtplgtdt0(X12,xR,xc)
& aReductOfIn0(X12,X3,xR)
& aElement0(X12) )
| aReductOfIn0(xc,X3,xR) ) )
| xc = X3 )
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
& sdtmndtasgtdt0(X2,xR,xb)
& ( ( sdtmndtplgtdt0(X2,xR,xb)
& ( ? [X13] :
( sdtmndtplgtdt0(X13,xR,xb)
& aReductOfIn0(X13,X2,xR)
& aElement0(X13) )
| aReductOfIn0(xb,X2,xR) ) )
| xb = X2 )
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xc)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) )
& ~ aReductOfIn0(xc,xa,xR) )
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,xa,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,xa,xR) ) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
( ! [X16] :
( ( ~ sdtmndtasgtdt0(xc,xR,X16)
& ~ sdtmndtplgtdt0(xc,xR,X16)
& ! [X17] :
( ~ sdtmndtplgtdt0(X17,xR,X16)
| ~ aReductOfIn0(X17,xc,xR)
| ~ aElement0(X17) )
& ~ aReductOfIn0(X16,xc,xR)
& xc != X16 )
| ( ~ sdtmndtasgtdt0(xb,xR,X16)
& ~ sdtmndtplgtdt0(xb,xR,X16)
& ! [X18] :
( ~ sdtmndtplgtdt0(X18,xR,X16)
| ~ aReductOfIn0(X18,xb,xR)
| ~ aElement0(X18) )
& ~ aReductOfIn0(X16,xb,xR)
& xb != X16 )
| ~ aElement0(X16) )
& sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X14] :
( sdtmndtplgtdt0(X14,xR,xc)
& aReductOfIn0(X14,xa,xR)
& aElement0(X14) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X15] :
( sdtmndtplgtdt0(X15,xR,xb)
& aReductOfIn0(X15,xa,xR)
& aElement0(X15) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb )
& ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sdtmndtasgtdt0(xc,xR,X5)
& ( ( sdtmndtplgtdt0(xc,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,xc,xR)
& aElement0(X6) )
| aReductOfIn0(X5,xc,xR) ) )
| xc = X5 )
& sdtmndtasgtdt0(xb,xR,X5)
& ( ( sdtmndtplgtdt0(xb,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,xb,xR)
& aElement0(X7) )
| aReductOfIn0(X5,xb,xR) ) )
| xb = X5 )
& aNormalFormOfIn0(X5,X4,xR)
& ! [X8] : ~ aReductOfIn0(X8,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X9] :
( sdtmndtplgtdt0(X9,xR,X5)
& aReductOfIn0(X9,X4,xR)
& aElement0(X9) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
& sdtmndtasgtdt0(X3,xR,X4)
& ( ( sdtmndtplgtdt0(X3,xR,X4)
& ( ? [X10] :
( sdtmndtplgtdt0(X10,xR,X4)
& aReductOfIn0(X10,X3,xR)
& aElement0(X10) )
| aReductOfIn0(X4,X3,xR) ) )
| X3 = X4 )
& sdtmndtasgtdt0(X2,xR,X4)
& ( ( sdtmndtplgtdt0(X2,xR,X4)
& ( ? [X11] :
( sdtmndtplgtdt0(X11,xR,X4)
& aReductOfIn0(X11,X2,xR)
& aElement0(X11) )
| aReductOfIn0(X4,X2,xR) ) )
| X2 = X4 )
& aElement0(X4) )
& sdtmndtasgtdt0(X3,xR,xc)
& ( ( sdtmndtplgtdt0(X3,xR,xc)
& ( ? [X12] :
( sdtmndtplgtdt0(X12,xR,xc)
& aReductOfIn0(X12,X3,xR)
& aElement0(X12) )
| aReductOfIn0(xc,X3,xR) ) )
| xc = X3 )
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
& sdtmndtasgtdt0(X2,xR,xb)
& ( ( sdtmndtplgtdt0(X2,xR,xb)
& ( ? [X13] :
( sdtmndtplgtdt0(X13,xR,xb)
& aReductOfIn0(X13,X2,xR)
& aElement0(X13) )
| aReductOfIn0(xb,X2,xR) ) )
| xb = X2 )
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
| ( ~ sdtmndtplgtdt0(xa,xR,xc)
& ! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xc)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) )
& ~ aReductOfIn0(xc,xa,xR) )
| ( ~ sdtmndtplgtdt0(xa,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,xa,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,xa,xR) ) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ( ( ( ( sdtmndtplgtdt0(xa,xR,xc)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(xa,xR,xb)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
| aReductOfIn0(xb,xa,xR) ) )
=> ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sdtmndtasgtdt0(xc,xR,X5)
& ( ( sdtmndtplgtdt0(xc,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,xc,xR)
& aElement0(X6) )
| aReductOfIn0(X5,xc,xR) ) )
| xc = X5 )
& sdtmndtasgtdt0(xb,xR,X5)
& ( ( sdtmndtplgtdt0(xb,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,xb,xR)
& aElement0(X7) )
| aReductOfIn0(X5,xb,xR) ) )
| xb = X5 )
& aNormalFormOfIn0(X5,X4,xR)
& ~ ? [X8] : aReductOfIn0(X8,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X9] :
( sdtmndtplgtdt0(X9,xR,X5)
& aReductOfIn0(X9,X4,xR)
& aElement0(X9) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
& sdtmndtasgtdt0(X3,xR,X4)
& ( ( sdtmndtplgtdt0(X3,xR,X4)
& ( ? [X10] :
( sdtmndtplgtdt0(X10,xR,X4)
& aReductOfIn0(X10,X3,xR)
& aElement0(X10) )
| aReductOfIn0(X4,X3,xR) ) )
| X3 = X4 )
& sdtmndtasgtdt0(X2,xR,X4)
& ( ( sdtmndtplgtdt0(X2,xR,X4)
& ( ? [X11] :
( sdtmndtplgtdt0(X11,xR,X4)
& aReductOfIn0(X11,X2,xR)
& aElement0(X11) )
| aReductOfIn0(X4,X2,xR) ) )
| X2 = X4 )
& aElement0(X4) )
& sdtmndtasgtdt0(X3,xR,xc)
& ( ( sdtmndtplgtdt0(X3,xR,xc)
& ( ? [X12] :
( sdtmndtplgtdt0(X12,xR,xc)
& aReductOfIn0(X12,X3,xR)
& aElement0(X12) )
| aReductOfIn0(xc,X3,xR) ) )
| xc = X3 )
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
& sdtmndtasgtdt0(X2,xR,xb)
& ( ( sdtmndtplgtdt0(X2,xR,xb)
& ( ? [X13] :
( sdtmndtplgtdt0(X13,xR,xb)
& aReductOfIn0(X13,X2,xR)
& aElement0(X13) )
| aReductOfIn0(xb,X2,xR) ) )
| xb = X2 )
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X14] :
( sdtmndtplgtdt0(X14,xR,xc)
& aReductOfIn0(X14,xa,xR)
& aElement0(X14) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X15] :
( sdtmndtplgtdt0(X15,xR,xb)
& aReductOfIn0(X15,xa,xR)
& aElement0(X15) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb ) )
=> ? [X16] :
( ( sdtmndtasgtdt0(xc,xR,X16)
| sdtmndtplgtdt0(xc,xR,X16)
| ? [X17] :
( sdtmndtplgtdt0(X17,xR,X16)
& aReductOfIn0(X17,xc,xR)
& aElement0(X17) )
| aReductOfIn0(X16,xc,xR)
| xc = X16 )
& ( sdtmndtasgtdt0(xb,xR,X16)
| sdtmndtplgtdt0(xb,xR,X16)
| ? [X18] :
( sdtmndtplgtdt0(X18,xR,X16)
& aReductOfIn0(X18,xb,xR)
& aElement0(X18) )
| aReductOfIn0(X16,xb,xR)
| xb = X16 )
& aElement0(X16) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( ( ( ( sdtmndtplgtdt0(xa,xR,xc)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(xa,xR,xb)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) )
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& ( ( sdtmndtplgtdt0(xc,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,xc,xR)
& aElement0(X4) )
| aReductOfIn0(X3,xc,xR) ) )
| xc = X3 )
& sdtmndtasgtdt0(xb,xR,X3)
& ( ( sdtmndtplgtdt0(xb,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,xb,xR)
& aElement0(X4) )
| aReductOfIn0(X3,xb,xR) ) )
| xb = X3 )
& aNormalFormOfIn0(X3,X2,xR)
& ~ ? [X4] : aReductOfIn0(X4,X3,xR)
& sdtmndtasgtdt0(X2,xR,X3)
& ( ( sdtmndtplgtdt0(X2,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR) ) )
| X2 = X3 )
& aElement0(X3) )
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X1,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& ( ( sdtmndtplgtdt0(X1,xR,xc)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xc)
& aReductOfIn0(X2,X1,xR)
& aElement0(X2) )
| aReductOfIn0(xc,X1,xR) ) )
| xc = X1 )
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& ( ( sdtmndtplgtdt0(X0,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR) ) )
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb ) )
=> ? [X0] :
( ( sdtmndtasgtdt0(xc,xR,X0)
| sdtmndtplgtdt0(xc,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xc,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xc,xR)
| xc = X0 )
& ( sdtmndtasgtdt0(xb,xR,X0)
| sdtmndtplgtdt0(xb,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xb,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xb,xR)
| xb = X0 )
& aElement0(X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( ( ( ( sdtmndtplgtdt0(xa,xR,xc)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(xa,xR,xb)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) )
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& ( ( sdtmndtplgtdt0(xc,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,xc,xR)
& aElement0(X4) )
| aReductOfIn0(X3,xc,xR) ) )
| xc = X3 )
& sdtmndtasgtdt0(xb,xR,X3)
& ( ( sdtmndtplgtdt0(xb,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,xb,xR)
& aElement0(X4) )
| aReductOfIn0(X3,xb,xR) ) )
| xb = X3 )
& aNormalFormOfIn0(X3,X2,xR)
& ~ ? [X4] : aReductOfIn0(X4,X3,xR)
& sdtmndtasgtdt0(X2,xR,X3)
& ( ( sdtmndtplgtdt0(X2,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR) ) )
| X2 = X3 )
& aElement0(X3) )
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X1,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& ( ( sdtmndtplgtdt0(X1,xR,xc)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,xc)
& aReductOfIn0(X2,X1,xR)
& aElement0(X2) )
| aReductOfIn0(xc,X1,xR) ) )
| xc = X1 )
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& ( ( sdtmndtplgtdt0(X0,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR) ) )
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) ) )
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) )
| xa = xb ) )
=> ? [X0] :
( ( sdtmndtasgtdt0(xc,xR,X0)
| sdtmndtplgtdt0(xc,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xc,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xc,xR)
| xc = X0 )
& ( sdtmndtasgtdt0(xb,xR,X0)
| sdtmndtplgtdt0(xb,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xb,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xb,xR)
| xb = X0 )
& aElement0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f394,plain,
( sdtmndtplgtdt0(sK37,xR,xb)
| ~ spl38_23 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f527,plain,
spl38_31,
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| spl38_31 ),
inference(resolution,[],[f481,f185]) ).
fof(f185,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f481,plain,
( ~ aElement0(xb)
| spl38_31 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f525,plain,
( ~ spl38_31
| ~ spl38_22
| ~ spl38_14 ),
inference(avatar_split_clause,[],[f523,f351,f388,f479]) ).
fof(f388,plain,
( spl38_22
<=> aReductOfIn0(xb,xa,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_22])]) ).
fof(f523,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb)
| ~ spl38_14 ),
inference(resolution,[],[f514,f285]) ).
fof(f514,plain,
( ! [X0] :
( sP5(X0)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) )
| ~ spl38_14 ),
inference(superposition,[],[f278,f353]) ).
fof(f278,plain,
! [X0] :
( ~ aReductOfIn0(X0,xc,xR)
| sP5(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f509,plain,
~ spl38_2,
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl38_2 ),
inference(resolution,[],[f505,f296]) ).
fof(f296,plain,
( sP3(sK25)
| ~ spl38_2 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl38_2
<=> sP3(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_2])]) ).
fof(f505,plain,
! [X0] : ~ sP3(X0),
inference(resolution,[],[f504,f239]) ).
fof(f239,plain,
! [X0] :
( sP2(sK28(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( sP2(sK28(X0))
& sdtmndtasgtdt0(sK27(X0),xR,sK28(X0))
& ( ( sdtmndtplgtdt0(sK27(X0),xR,sK28(X0))
& ( ( sdtmndtplgtdt0(sK29(X0),xR,sK28(X0))
& aReductOfIn0(sK29(X0),sK27(X0),xR)
& aElement0(sK29(X0)) )
| aReductOfIn0(sK28(X0),sK27(X0),xR) ) )
| sK27(X0) = sK28(X0) )
& sdtmndtasgtdt0(X0,xR,sK28(X0))
& ( ( sdtmndtplgtdt0(X0,xR,sK28(X0))
& ( ( sdtmndtplgtdt0(sK30(X0),xR,sK28(X0))
& aReductOfIn0(sK30(X0),X0,xR)
& aElement0(sK30(X0)) )
| aReductOfIn0(sK28(X0),X0,xR) ) )
| sK28(X0) = X0 )
& aElement0(sK28(X0))
& sdtmndtasgtdt0(sK27(X0),xR,xc)
& ( ( sdtmndtplgtdt0(sK27(X0),xR,xc)
& ( ( sdtmndtplgtdt0(sK31(X0),xR,xc)
& aReductOfIn0(sK31(X0),sK27(X0),xR)
& aElement0(sK31(X0)) )
| aReductOfIn0(xc,sK27(X0),xR) ) )
| xc = sK27(X0) )
& aReductOfIn0(sK27(X0),xa,xR)
& aElement0(sK27(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30,sK31])],[f110,f115,f114,f113,f112,f111]) ).
fof(f111,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( sP2(X2)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X1,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& ( ( sdtmndtplgtdt0(X1,xR,xc)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,xc)
& aReductOfIn0(X5,X1,xR)
& aElement0(X5) )
| aReductOfIn0(xc,X1,xR) ) )
| xc = X1 )
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
=> ( ? [X2] :
( sP2(X2)
& sdtmndtasgtdt0(sK27(X0),xR,X2)
& ( ( sdtmndtplgtdt0(sK27(X0),xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,sK27(X0),xR)
& aElement0(X3) )
| aReductOfIn0(X2,sK27(X0),xR) ) )
| sK27(X0) = X2 )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) )
& sdtmndtasgtdt0(sK27(X0),xR,xc)
& ( ( sdtmndtplgtdt0(sK27(X0),xR,xc)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,xc)
& aReductOfIn0(X5,sK27(X0),xR)
& aElement0(X5) )
| aReductOfIn0(xc,sK27(X0),xR) ) )
| xc = sK27(X0) )
& aReductOfIn0(sK27(X0),xa,xR)
& aElement0(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ? [X2] :
( sP2(X2)
& sdtmndtasgtdt0(sK27(X0),xR,X2)
& ( ( sdtmndtplgtdt0(sK27(X0),xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,sK27(X0),xR)
& aElement0(X3) )
| aReductOfIn0(X2,sK27(X0),xR) ) )
| sK27(X0) = X2 )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) )
=> ( sP2(sK28(X0))
& sdtmndtasgtdt0(sK27(X0),xR,sK28(X0))
& ( ( sdtmndtplgtdt0(sK27(X0),xR,sK28(X0))
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,sK28(X0))
& aReductOfIn0(X3,sK27(X0),xR)
& aElement0(X3) )
| aReductOfIn0(sK28(X0),sK27(X0),xR) ) )
| sK27(X0) = sK28(X0) )
& sdtmndtasgtdt0(X0,xR,sK28(X0))
& ( ( sdtmndtplgtdt0(X0,xR,sK28(X0))
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,sK28(X0))
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(sK28(X0),X0,xR) ) )
| sK28(X0) = X0 )
& aElement0(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X3] :
( sdtmndtplgtdt0(X3,xR,sK28(X0))
& aReductOfIn0(X3,sK27(X0),xR)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(sK29(X0),xR,sK28(X0))
& aReductOfIn0(sK29(X0),sK27(X0),xR)
& aElement0(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0] :
( ? [X4] :
( sdtmndtplgtdt0(X4,xR,sK28(X0))
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK30(X0),xR,sK28(X0))
& aReductOfIn0(sK30(X0),X0,xR)
& aElement0(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0] :
( ? [X5] :
( sdtmndtplgtdt0(X5,xR,xc)
& aReductOfIn0(X5,sK27(X0),xR)
& aElement0(X5) )
=> ( sdtmndtplgtdt0(sK31(X0),xR,xc)
& aReductOfIn0(sK31(X0),sK27(X0),xR)
& aElement0(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( sP2(X2)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X1,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& ( ( sdtmndtplgtdt0(X1,xR,xc)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,xc)
& aReductOfIn0(X5,X1,xR)
& aElement0(X5) )
| aReductOfIn0(xc,X1,xR) ) )
| xc = X1 )
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( sP2(X4)
& sdtmndtasgtdt0(X3,xR,X4)
& ( ( sdtmndtplgtdt0(X3,xR,X4)
& ( ? [X10] :
( sdtmndtplgtdt0(X10,xR,X4)
& aReductOfIn0(X10,X3,xR)
& aElement0(X10) )
| aReductOfIn0(X4,X3,xR) ) )
| X3 = X4 )
& sdtmndtasgtdt0(X2,xR,X4)
& ( ( sdtmndtplgtdt0(X2,xR,X4)
& ( ? [X11] :
( sdtmndtplgtdt0(X11,xR,X4)
& aReductOfIn0(X11,X2,xR)
& aElement0(X11) )
| aReductOfIn0(X4,X2,xR) ) )
| X2 = X4 )
& aElement0(X4) )
& sdtmndtasgtdt0(X3,xR,xc)
& ( ( sdtmndtplgtdt0(X3,xR,xc)
& ( ? [X12] :
( sdtmndtplgtdt0(X12,xR,xc)
& aReductOfIn0(X12,X3,xR)
& aElement0(X12) )
| aReductOfIn0(xc,X3,xR) ) )
| xc = X3 )
& aReductOfIn0(X3,xa,xR)
& aElement0(X3) )
| ~ sP3(X2) ),
inference(nnf_transformation,[],[f58]) ).
fof(f504,plain,
! [X0] : ~ sP2(X0),
inference(duplicate_literal_removal,[],[f503]) ).
fof(f503,plain,
! [X0] :
( ~ sP2(X0)
| ~ sP2(X0) ),
inference(resolution,[],[f502,f240]) ).
fof(f240,plain,
! [X0] :
( aElement0(sK32(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( sdtmndtasgtdt0(xc,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(xc,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(sK33(X0),xR,sK32(X0))
& aReductOfIn0(sK33(X0),xc,xR)
& aElement0(sK33(X0)) )
| aReductOfIn0(sK32(X0),xc,xR) ) )
| xc = sK32(X0) )
& sdtmndtasgtdt0(xb,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(xb,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(sK34(X0),xR,sK32(X0))
& aReductOfIn0(sK34(X0),xb,xR)
& aElement0(sK34(X0)) )
| aReductOfIn0(sK32(X0),xb,xR) ) )
| xb = sK32(X0) )
& aNormalFormOfIn0(sK32(X0),X0,xR)
& ! [X4] : ~ aReductOfIn0(X4,sK32(X0),xR)
& sdtmndtasgtdt0(X0,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(X0,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(sK35(X0),xR,sK32(X0))
& aReductOfIn0(sK35(X0),X0,xR)
& aElement0(sK35(X0)) )
| aReductOfIn0(sK32(X0),X0,xR) ) )
| sK32(X0) = X0 )
& aElement0(sK32(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35])],[f118,f122,f121,f120,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] :
( sdtmndtasgtdt0(xc,xR,X1)
& ( ( sdtmndtplgtdt0(xc,xR,X1)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,xc,xR)
& aElement0(X2) )
| aReductOfIn0(X1,xc,xR) ) )
| xc = X1 )
& sdtmndtasgtdt0(xb,xR,X1)
& ( ( sdtmndtplgtdt0(xb,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,xb,xR)
& aElement0(X3) )
| aReductOfIn0(X1,xb,xR) ) )
| xb = X1 )
& aNormalFormOfIn0(X1,X0,xR)
& ! [X4] : ~ aReductOfIn0(X4,X1,xR)
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,X1)
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X1) )
=> ( sdtmndtasgtdt0(xc,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(xc,xR,sK32(X0))
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,sK32(X0))
& aReductOfIn0(X2,xc,xR)
& aElement0(X2) )
| aReductOfIn0(sK32(X0),xc,xR) ) )
| xc = sK32(X0) )
& sdtmndtasgtdt0(xb,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(xb,xR,sK32(X0))
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,sK32(X0))
& aReductOfIn0(X3,xb,xR)
& aElement0(X3) )
| aReductOfIn0(sK32(X0),xb,xR) ) )
| xb = sK32(X0) )
& aNormalFormOfIn0(sK32(X0),X0,xR)
& ! [X4] : ~ aReductOfIn0(X4,sK32(X0),xR)
& sdtmndtasgtdt0(X0,xR,sK32(X0))
& ( ( sdtmndtplgtdt0(X0,xR,sK32(X0))
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,sK32(X0))
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
| aReductOfIn0(sK32(X0),X0,xR) ) )
| sK32(X0) = X0 )
& aElement0(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ? [X2] :
( sdtmndtplgtdt0(X2,xR,sK32(X0))
& aReductOfIn0(X2,xc,xR)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(sK33(X0),xR,sK32(X0))
& aReductOfIn0(sK33(X0),xc,xR)
& aElement0(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ? [X3] :
( sdtmndtplgtdt0(X3,xR,sK32(X0))
& aReductOfIn0(X3,xb,xR)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(sK34(X0),xR,sK32(X0))
& aReductOfIn0(sK34(X0),xb,xR)
& aElement0(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ? [X5] :
( sdtmndtplgtdt0(X5,xR,sK32(X0))
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
=> ( sdtmndtplgtdt0(sK35(X0),xR,sK32(X0))
& aReductOfIn0(sK35(X0),X0,xR)
& aElement0(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( sdtmndtasgtdt0(xc,xR,X1)
& ( ( sdtmndtplgtdt0(xc,xR,X1)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,xc,xR)
& aElement0(X2) )
| aReductOfIn0(X1,xc,xR) ) )
| xc = X1 )
& sdtmndtasgtdt0(xb,xR,X1)
& ( ( sdtmndtplgtdt0(xb,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,xb,xR)
& aElement0(X3) )
| aReductOfIn0(X1,xb,xR) ) )
| xb = X1 )
& aNormalFormOfIn0(X1,X0,xR)
& ! [X4] : ~ aReductOfIn0(X4,X1,xR)
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,X1)
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X4] :
( ? [X5] :
( sdtmndtasgtdt0(xc,xR,X5)
& ( ( sdtmndtplgtdt0(xc,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,xc,xR)
& aElement0(X6) )
| aReductOfIn0(X5,xc,xR) ) )
| xc = X5 )
& sdtmndtasgtdt0(xb,xR,X5)
& ( ( sdtmndtplgtdt0(xb,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,xb,xR)
& aElement0(X7) )
| aReductOfIn0(X5,xb,xR) ) )
| xb = X5 )
& aNormalFormOfIn0(X5,X4,xR)
& ! [X8] : ~ aReductOfIn0(X8,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X9] :
( sdtmndtplgtdt0(X9,xR,X5)
& aReductOfIn0(X9,X4,xR)
& aElement0(X9) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
| ~ sP2(X4) ),
inference(nnf_transformation,[],[f57]) ).
fof(f502,plain,
! [X0] :
( ~ aElement0(sK32(X0))
| ~ sP2(X0) ),
inference(duplicate_literal_removal,[],[f501]) ).
fof(f501,plain,
! [X0] :
( ~ sP2(X0)
| ~ aElement0(sK32(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f500,f499]) ).
fof(f499,plain,
! [X0] :
( ~ sP5(sK32(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f252,f212]) ).
fof(f212,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f252,plain,
! [X0] :
( sdtmndtasgtdt0(xb,xR,sK32(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f500,plain,
! [X0] :
( sP5(sK32(X0))
| ~ sP2(X0)
| ~ aElement0(sK32(X0)) ),
inference(resolution,[],[f257,f281]) ).
fof(f281,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xc,xR,X0)
| sP5(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f257,plain,
! [X0] :
( sdtmndtasgtdt0(xc,xR,sK32(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f488,plain,
spl38_28,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| spl38_28 ),
inference(resolution,[],[f443,f184]) ).
fof(f184,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f443,plain,
( ~ aElement0(xa)
| spl38_28 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl38_28
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_28])]) ).
fof(f476,plain,
( ~ spl38_13
| ~ spl38_15
| ~ spl38_20 ),
inference(avatar_split_clause,[],[f475,f379,f355,f346]) ).
fof(f346,plain,
( spl38_13
<=> sP5(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_13])]) ).
fof(f355,plain,
( spl38_15
<=> sdtmndtplgtdt0(xa,xR,xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_15])]) ).
fof(f379,plain,
( spl38_20
<=> xa = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl38_20])]) ).
fof(f475,plain,
( ~ sP5(xc)
| ~ spl38_15
| ~ spl38_20 ),
inference(resolution,[],[f474,f357]) ).
fof(f357,plain,
( sdtmndtplgtdt0(xa,xR,xc)
| ~ spl38_15 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f474,plain,
( ! [X0] :
( ~ sdtmndtplgtdt0(xa,xR,X0)
| ~ sP5(X0) )
| ~ spl38_20 ),
inference(superposition,[],[f211,f381]) ).
fof(f381,plain,
( xa = xb
| ~ spl38_20 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f211,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xb,xR,X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f471,plain,
spl38_12,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| spl38_12 ),
inference(resolution,[],[f344,f186]) ).
fof(f186,plain,
aElement0(xc),
inference(cnf_transformation,[],[f17]) ).
fof(f344,plain,
( ~ aElement0(xc)
| spl38_12 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl38_12
<=> aElement0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_12])]) ).
fof(f456,plain,
( ~ spl38_29
| ~ spl38_20 ),
inference(avatar_split_clause,[],[f455,f379,f445]) ).
fof(f445,plain,
( spl38_29
<=> sP5(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_29])]) ).
fof(f455,plain,
( ~ sP5(xa)
| ~ spl38_20 ),
inference(superposition,[],[f285,f381]) ).
fof(f449,plain,
( spl38_29
| ~ spl38_28
| ~ spl38_14 ),
inference(avatar_split_clause,[],[f437,f351,f441,f445]) ).
fof(f437,plain,
( ~ aElement0(xa)
| sP5(xa)
| ~ spl38_14 ),
inference(forward_demodulation,[],[f436,f353]) ).
fof(f436,plain,
( sP5(xa)
| ~ aElement0(xc)
| ~ spl38_14 ),
inference(forward_demodulation,[],[f432,f353]) ).
fof(f432,plain,
( sP5(xc)
| ~ aElement0(xc)
| ~ spl38_14 ),
inference(resolution,[],[f430,f276]) ).
fof(f276,plain,
sdtmndtasgtdt0(xa,xR,xc),
inference(cnf_transformation,[],[f127]) ).
fof(f430,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(xa,xR,X0)
| sP5(X0)
| ~ aElement0(X0) )
| ~ spl38_14 ),
inference(superposition,[],[f281,f353]) ).
fof(f406,plain,
( ~ spl38_21
| ~ spl38_15
| spl38_1 ),
inference(avatar_split_clause,[],[f266,f290,f355,f383]) ).
fof(f383,plain,
( spl38_21
<=> sdtmndtplgtdt0(xa,xR,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_21])]) ).
fof(f290,plain,
( spl38_1
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f266,plain,
( sP4
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(cnf_transformation,[],[f127]) ).
fof(f405,plain,
( spl38_20
| spl38_22
| spl38_25 ),
inference(avatar_split_clause,[],[f267,f402,f388,f379]) ).
fof(f267,plain,
( aElement0(sK37)
| aReductOfIn0(xb,xa,xR)
| xa = xb ),
inference(cnf_transformation,[],[f127]) ).
fof(f400,plain,
( spl38_20
| spl38_22
| spl38_24 ),
inference(avatar_split_clause,[],[f268,f397,f388,f379]) ).
fof(f268,plain,
( aReductOfIn0(sK37,xa,xR)
| aReductOfIn0(xb,xa,xR)
| xa = xb ),
inference(cnf_transformation,[],[f127]) ).
fof(f395,plain,
( spl38_20
| spl38_22
| spl38_23 ),
inference(avatar_split_clause,[],[f269,f392,f388,f379]) ).
fof(f269,plain,
( sdtmndtplgtdt0(sK37,xR,xb)
| aReductOfIn0(xb,xa,xR)
| xa = xb ),
inference(cnf_transformation,[],[f127]) ).
fof(f386,plain,
( spl38_20
| spl38_21 ),
inference(avatar_split_clause,[],[f270,f383,f379]) ).
fof(f270,plain,
( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb ),
inference(cnf_transformation,[],[f127]) ).
fof(f358,plain,
( spl38_14
| spl38_15 ),
inference(avatar_split_clause,[],[f275,f355,f351]) ).
fof(f275,plain,
( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc ),
inference(cnf_transformation,[],[f127]) ).
fof(f349,plain,
( ~ spl38_12
| spl38_13 ),
inference(avatar_split_clause,[],[f286,f346,f342]) ).
fof(f286,plain,
( sP5(xc)
| ~ aElement0(xc) ),
inference(equality_resolution,[],[f277]) ).
fof(f277,plain,
! [X0] :
( xc != X0
| sP5(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f297,plain,
( ~ spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f220,f294,f290]) ).
fof(f220,plain,
( sP3(sK25)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( sP3(sK25)
& sdtmndtasgtdt0(sK25,xR,xb)
& ( ( sdtmndtplgtdt0(sK25,xR,xb)
& ( ( sdtmndtplgtdt0(sK26,xR,xb)
& aReductOfIn0(sK26,sK25,xR)
& aElement0(sK26) )
| aReductOfIn0(xb,sK25,xR) ) )
| xb = sK25 )
& aReductOfIn0(sK25,xa,xR)
& aElement0(sK25) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f105,f107,f106]) ).
fof(f106,plain,
( ? [X0] :
( sP3(X0)
& sdtmndtasgtdt0(X0,xR,xb)
& ( ( sdtmndtplgtdt0(X0,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR) ) )
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
=> ( sP3(sK25)
& sdtmndtasgtdt0(sK25,xR,xb)
& ( ( sdtmndtplgtdt0(sK25,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,sK25,xR)
& aElement0(X1) )
| aReductOfIn0(xb,sK25,xR) ) )
| xb = sK25 )
& aReductOfIn0(sK25,xa,xR)
& aElement0(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,sK25,xR)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(sK26,xR,xb)
& aReductOfIn0(sK26,sK25,xR)
& aElement0(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X0] :
( sP3(X0)
& sdtmndtasgtdt0(X0,xR,xb)
& ( ( sdtmndtplgtdt0(X0,xR,xb)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR) ) )
| xb = X0 )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sP4 ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
( ? [X2] :
( sP3(X2)
& sdtmndtasgtdt0(X2,xR,xb)
& ( ( sdtmndtplgtdt0(X2,xR,xb)
& ( ? [X13] :
( sdtmndtplgtdt0(X13,xR,xb)
& aReductOfIn0(X13,X2,xR)
& aElement0(X13) )
| aReductOfIn0(xb,X2,xR) ) )
| xb = X2 )
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
| ~ sP4 ),
inference(nnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : COM022+4 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.11 % 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
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sun May 19 10:35:52 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.30 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
% 0.42/0.59 % (8088)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 (2997ds/34Mi)
% 0.42/0.59 % (8087)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.42/0.59 % (8089)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.42/0.59 % (8084)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 (2997ds/34Mi)
% 0.42/0.59 % (8086)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.42/0.59 % (8085)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 (2997ds/51Mi)
% 0.42/0.60 % (8087)Instruction limit reached!
% 0.42/0.60 % (8087)------------------------------
% 0.42/0.60 % (8087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.60 % (8087)Termination reason: Unknown
% 0.42/0.60 % (8087)Termination phase: Saturation
% 0.42/0.60
% 0.42/0.60 % (8087)Memory used [KB]: 1667
% 0.42/0.60 % (8085)First to succeed.
% 0.42/0.60 % (8087)Time elapsed: 0.012 s
% 0.42/0.60 % (8087)Instructions burned: 35 (million)
% 0.42/0.60 % (8087)------------------------------
% 0.42/0.60 % (8087)------------------------------
% 0.42/0.60 % (8090)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 (2997ds/83Mi)
% 0.42/0.60 % (8088)Instruction limit reached!
% 0.42/0.60 % (8088)------------------------------
% 0.42/0.60 % (8088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.60 % (8088)Termination reason: Unknown
% 0.42/0.60 % (8088)Termination phase: Saturation
% 0.42/0.60
% 0.42/0.60 % (8088)Memory used [KB]: 1658
% 0.42/0.60 % (8088)Time elapsed: 0.012 s
% 0.42/0.60 % (8088)Instructions burned: 34 (million)
% 0.42/0.60 % (8088)------------------------------
% 0.42/0.60 % (8088)------------------------------
% 0.42/0.60 % (8086)Also succeeded, but the first one will report.
% 0.42/0.60 % (8091)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 (2997ds/56Mi)
% 0.42/0.60 % (8085)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8082"
% 0.42/0.60 % (8092)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2997ds/55Mi)
% 0.42/0.60 % (8089)Instruction limit reached!
% 0.42/0.60 % (8089)------------------------------
% 0.42/0.60 % (8089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.60 % (8089)Termination reason: Unknown
% 0.42/0.60 % (8089)Termination phase: Saturation
% 0.42/0.60
% 0.42/0.60 % (8089)Memory used [KB]: 1810
% 0.42/0.60 % (8089)Time elapsed: 0.016 s
% 0.42/0.60 % (8089)Instructions burned: 46 (million)
% 0.42/0.60 % (8089)------------------------------
% 0.42/0.60 % (8089)------------------------------
% 0.42/0.60 % (8085)Refutation found. Thanks to Tanya!
% 0.42/0.60 % SZS status Theorem for theBenchmark
% 0.42/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.61 % (8085)------------------------------
% 0.42/0.61 % (8085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.42/0.61 % (8085)Termination reason: Refutation
% 0.42/0.61
% 0.42/0.61 % (8085)Memory used [KB]: 1306
% 0.42/0.61 % (8085)Time elapsed: 0.014 s
% 0.42/0.61 % (8085)Instructions burned: 24 (million)
% 0.42/0.61 % (8082)Success in time 0.291 s
% 0.42/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------