TSTP Solution File: SET771+4 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET771+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Thu Aug 31 15:09:34 EDT 2023
% Result : Theorem 85.42s 12.33s
% Output : CNFRefutation 85.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 393 ( 14 unt; 0 def)
% Number of atoms : 1639 ( 141 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 2009 ( 763 ~;1007 |; 186 &)
% ( 13 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 643 ( 5 sgn; 252 !; 80 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X5,X0,X1] :
( maps(X5,X0,X1)
<=> ( ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X6,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f24,axiom,
! [X5,X1,X2] :
( member(X2,inverse_image2(X5,X1))
<=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image2) ).
fof(f25,axiom,
! [X5,X1,X0,X2] :
( member(X2,inverse_image3(X5,X1,X0))
<=> ( ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) )
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image3) ).
fof(f31,axiom,
! [X0,X14] :
( equivalence(X14,X0)
<=> ( ! [X2,X4,X11] :
( ( member(X11,X0)
& member(X4,X0)
& member(X2,X0) )
=> ( ( apply(X14,X4,X11)
& apply(X14,X2,X4) )
=> apply(X14,X2,X11) ) )
& ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( apply(X14,X2,X4)
=> apply(X14,X4,X2) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X14,X2,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
fof(f34,conjecture,
! [X5,X0,X1,X14] :
( ( ! [X12,X13] :
( ( member(X13,X0)
& member(X12,X0) )
=> ( apply(X14,X12,X13)
<=> ? [X4] :
( apply(X5,X13,X4)
& apply(X5,X12,X4)
& member(X4,X1) ) ) )
& maps(X5,X0,X1) )
=> equivalence(X14,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII07) ).
fof(f35,negated_conjecture,
~ ! [X5,X0,X1,X14] :
( ( ! [X12,X13] :
( ( member(X13,X0)
& member(X12,X0) )
=> ( apply(X14,X12,X13)
<=> ? [X4] :
( apply(X5,X13,X4)
& apply(X5,X12,X4)
& member(X4,X1) ) ) )
& maps(X5,X0,X1) )
=> equivalence(X14,X0) ),
inference(negated_conjecture,[],[f34]) ).
fof(f45,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f57,plain,
! [X0,X1,X2] :
( member(X2,inverse_image2(X0,X1))
<=> ? [X3] :
( apply(X0,X2,X3)
& member(X3,X1) ) ),
inference(rectify,[],[f24]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( member(X3,inverse_image3(X0,X1,X2))
<=> ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f63,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2,X3,X4] :
( ( member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X2,X3) )
=> apply(X1,X2,X4) ) )
& ! [X5,X6] :
( ( member(X6,X0)
& member(X5,X0) )
=> ( apply(X1,X5,X6)
=> apply(X1,X6,X5) ) )
& ! [X7] :
( member(X7,X0)
=> apply(X1,X7,X7) ) ) ),
inference(rectify,[],[f31]) ).
fof(f66,plain,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( ( member(X5,X1)
& member(X4,X1) )
=> ( apply(X3,X4,X5)
<=> ? [X6] :
( apply(X0,X5,X6)
& apply(X0,X4,X6)
& member(X6,X2) ) ) )
& maps(X0,X1,X2) )
=> equivalence(X3,X1) ),
inference(rectify,[],[f35]) ).
fof(f67,plain,
! [X0,X1] :
( ( ! [X2,X3,X4] :
( ( member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X2,X3) )
=> apply(X1,X2,X4) ) )
& ! [X5,X6] :
( ( member(X6,X0)
& member(X5,X0) )
=> ( apply(X1,X5,X6)
=> apply(X1,X6,X5) ) )
& ! [X7] :
( member(X7,X0)
=> apply(X1,X7,X7) ) )
=> equivalence(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f68,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f71]) ).
fof(f77,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2,X3,X4] :
( ~ apply(X1,X2,X4)
& apply(X1,X3,X4)
& apply(X1,X2,X3)
& member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
| ? [X5,X6] :
( ~ apply(X1,X6,X5)
& apply(X1,X5,X6)
& member(X6,X0)
& member(X5,X0) )
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f78,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ? [X2,X3,X4] :
( ~ apply(X1,X2,X4)
& apply(X1,X3,X4)
& apply(X1,X2,X3)
& member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
| ? [X5,X6] :
( ~ apply(X1,X6,X5)
& apply(X1,X5,X6)
& member(X6,X0)
& member(X5,X0) )
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ? [X6] :
( apply(X0,X5,X6)
& apply(X0,X4,X6)
& member(X6,X2) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) )
& maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f66]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ? [X6] :
( apply(X0,X5,X6)
& apply(X0,X4,X6)
& member(X6,X2) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) )
& maps(X0,X1,X2) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( ~ apply(X1,X2,X4)
& apply(X1,X3,X4)
& apply(X1,X2,X3)
& member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f82,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ? [X5,X6] :
( ~ apply(X1,X6,X5)
& apply(X1,X5,X6)
& member(X6,X0)
& member(X5,X0) )
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) ),
inference(definition_folding,[],[f78,f81]) ).
fof(f105,plain,
! [X0,X2,X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
=> ( apply(X0,X6,sK4(X0,X2,X6))
& member(sK4(X0,X2,X6),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ( apply(X0,X6,sK4(X0,X2,X6))
& member(sK4(X0,X2,X6),X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f72,f105]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1) ) )
& ( ? [X3] :
( apply(X0,X2,X3)
& member(X3,X1) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1) ) )
& ( ? [X4] :
( apply(X0,X2,X4)
& member(X4,X1) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X2,X4)
& member(X4,X1) )
=> ( apply(X0,X2,sK8(X0,X1,X2))
& member(sK8(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1) ) )
& ( ( apply(X0,X2,sK8(X0,X1,X2))
& member(sK8(X0,X1,X2),X1) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f122,f123]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2) )
& ( ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2) )
& ( ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2) )
& ( ( ? [X5] :
( apply(X0,X3,X5)
& member(X5,X1) )
& member(X3,X2) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X3] :
( ? [X5] :
( apply(X0,X3,X5)
& member(X5,X1) )
=> ( apply(X0,X3,sK9(X0,X1,X3))
& member(sK9(X0,X1,X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ( member(X3,inverse_image3(X0,X1,X2))
| ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2) )
& ( ( apply(X0,X3,sK9(X0,X1,X3))
& member(sK9(X0,X1,X3),X1)
& member(X3,X2) )
| ~ member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f127,f128]) ).
fof(f130,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( ~ apply(X1,X2,X4)
& apply(X1,X3,X4)
& apply(X1,X2,X3)
& member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X3,X4)
& apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X3,X4)
& apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1) )
=> ( ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
& apply(X0,sK11(X0,X1),sK12(X0,X1))
& apply(X0,sK10(X0,X1),sK11(X0,X1))
& member(sK12(X0,X1),X1)
& member(sK11(X0,X1),X1)
& member(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1] :
( ( ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
& apply(X0,sK11(X0,X1),sK12(X0,X1))
& apply(X0,sK10(X0,X1),sK11(X0,X1))
& member(sK12(X0,X1),X1)
& member(sK11(X0,X1),X1)
& member(sK10(X0,X1),X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f131,f132]) ).
fof(f134,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ? [X2,X3] :
( ~ apply(X1,X3,X2)
& apply(X1,X2,X3)
& member(X3,X0)
& member(X2,X0) )
| ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) ) ),
inference(rectify,[],[f82]) ).
fof(f135,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ apply(X1,X3,X2)
& apply(X1,X2,X3)
& member(X3,X0)
& member(X2,X0) )
=> ( ~ apply(X1,sK14(X0,X1),sK13(X0,X1))
& apply(X1,sK13(X0,X1),sK14(X0,X1))
& member(sK14(X0,X1),X0)
& member(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1] :
( ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) )
=> ( ~ apply(X1,sK15(X0,X1),sK15(X0,X1))
& member(sK15(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ( ~ apply(X1,sK14(X0,X1),sK13(X0,X1))
& apply(X1,sK13(X0,X1),sK14(X0,X1))
& member(sK14(X0,X1),X0)
& member(sK13(X0,X1),X0) )
| ( ~ apply(X1,sK15(X0,X1),sK15(X0,X1))
& member(sK15(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f134,f136,f135]) ).
fof(f140,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ! [X6] :
( ~ apply(X0,X5,X6)
| ~ apply(X0,X4,X6)
| ~ member(X6,X2) ) )
& ( ? [X6] :
( apply(X0,X5,X6)
& apply(X0,X4,X6)
& member(X6,X2) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) )
& maps(X0,X1,X2) ),
inference(nnf_transformation,[],[f80]) ).
fof(f141,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ! [X6] :
( ~ apply(X0,X5,X6)
| ~ apply(X0,X4,X6)
| ~ member(X6,X2) ) )
& ( ? [X7] :
( apply(X0,X5,X7)
& apply(X0,X4,X7)
& member(X7,X2) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) )
& maps(X0,X1,X2) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ? [X0,X1,X2,X3] :
( ~ equivalence(X3,X1)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ! [X6] :
( ~ apply(X0,X5,X6)
| ~ apply(X0,X4,X6)
| ~ member(X6,X2) ) )
& ( ? [X7] :
( apply(X0,X5,X7)
& apply(X0,X4,X7)
& member(X7,X2) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X1)
| ~ member(X4,X1) )
& maps(X0,X1,X2) )
=> ( ~ equivalence(sK19,sK17)
& ! [X5,X4] :
( ( ( apply(sK19,X4,X5)
| ! [X6] :
( ~ apply(sK16,X5,X6)
| ~ apply(sK16,X4,X6)
| ~ member(X6,sK18) ) )
& ( ? [X7] :
( apply(sK16,X5,X7)
& apply(sK16,X4,X7)
& member(X7,sK18) )
| ~ apply(sK19,X4,X5) ) )
| ~ member(X5,sK17)
| ~ member(X4,sK17) )
& maps(sK16,sK17,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X4,X5] :
( ? [X7] :
( apply(sK16,X5,X7)
& apply(sK16,X4,X7)
& member(X7,sK18) )
=> ( apply(sK16,X5,sK20(X4,X5))
& apply(sK16,X4,sK20(X4,X5))
& member(sK20(X4,X5),sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ~ equivalence(sK19,sK17)
& ! [X4,X5] :
( ( ( apply(sK19,X4,X5)
| ! [X6] :
( ~ apply(sK16,X5,X6)
| ~ apply(sK16,X4,X6)
| ~ member(X6,sK18) ) )
& ( ( apply(sK16,X5,sK20(X4,X5))
& apply(sK16,X4,sK20(X4,X5))
& member(sK20(X4,X5),sK18) )
| ~ apply(sK19,X4,X5) ) )
| ~ member(X5,sK17)
| ~ member(X4,sK17) )
& maps(sK16,sK17,sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20])],[f141,f143,f142]) ).
fof(f171,plain,
! [X2,X0,X1,X6] :
( member(sK4(X0,X2,X6),X2)
| ~ member(X6,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f172,plain,
! [X2,X0,X1,X6] :
( apply(X0,X6,sK4(X0,X2,X6))
| ~ member(X6,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( member(X2,inverse_image2(X0,X1))
| ~ apply(X0,X2,X3)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( member(sK9(X0,X1,X3),X1)
| ~ member(X3,inverse_image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( apply(X0,X3,sK9(X0,X1,X3))
| ~ member(X3,inverse_image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4] :
( member(X3,inverse_image3(X0,X1,X2))
| ~ apply(X0,X3,X4)
| ~ member(X4,X1)
| ~ member(X3,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f194,plain,
! [X0,X1] :
( member(sK10(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f195,plain,
! [X0,X1] :
( member(sK11(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f196,plain,
! [X0,X1] :
( member(sK12(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f197,plain,
! [X0,X1] :
( apply(X0,sK10(X0,X1),sK11(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f198,plain,
! [X0,X1] :
( apply(X0,sK11(X0,X1),sK12(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f199,plain,
! [X0,X1] :
( ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f200,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK13(X0,X1),X0)
| member(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f201,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK13(X0,X1),X0)
| ~ apply(X1,sK15(X0,X1),sK15(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f202,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK14(X0,X1),X0)
| member(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f203,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK14(X0,X1),X0)
| ~ apply(X1,sK15(X0,X1),sK15(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f204,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| apply(X1,sK13(X0,X1),sK14(X0,X1))
| member(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f205,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| apply(X1,sK13(X0,X1),sK14(X0,X1))
| ~ apply(X1,sK15(X0,X1),sK15(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f206,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK14(X0,X1),sK13(X0,X1))
| member(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f207,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK14(X0,X1),sK13(X0,X1))
| ~ apply(X1,sK15(X0,X1),sK15(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f211,plain,
maps(sK16,sK17,sK18),
inference(cnf_transformation,[],[f144]) ).
fof(f212,plain,
! [X4,X5] :
( member(sK20(X4,X5),sK18)
| ~ apply(sK19,X4,X5)
| ~ member(X5,sK17)
| ~ member(X4,sK17) ),
inference(cnf_transformation,[],[f144]) ).
fof(f213,plain,
! [X4,X5] :
( apply(sK16,X4,sK20(X4,X5))
| ~ apply(sK19,X4,X5)
| ~ member(X5,sK17)
| ~ member(X4,sK17) ),
inference(cnf_transformation,[],[f144]) ).
fof(f214,plain,
! [X4,X5] :
( apply(sK16,X5,sK20(X4,X5))
| ~ apply(sK19,X4,X5)
| ~ member(X5,sK17)
| ~ member(X4,sK17) ),
inference(cnf_transformation,[],[f144]) ).
fof(f215,plain,
! [X6,X4,X5] :
( apply(sK19,X4,X5)
| ~ apply(sK16,X5,X6)
| ~ apply(sK16,X4,X6)
| ~ member(X6,sK18)
| ~ member(X5,sK17)
| ~ member(X4,sK17) ),
inference(cnf_transformation,[],[f144]) ).
fof(f216,plain,
~ equivalence(sK19,sK17),
inference(cnf_transformation,[],[f144]) ).
cnf(c_75,plain,
( ~ apply(X0,X1,X2)
| ~ apply(X0,X1,X3)
| ~ maps(X0,X4,X5)
| ~ member(X1,X4)
| ~ member(X2,X5)
| ~ member(X3,X5)
| X2 = X3 ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_76,plain,
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK4(X0,X2,X3)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_77,plain,
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK4(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_91,plain,
( ~ apply(X0,X1,X2)
| ~ member(X2,X3)
| member(X1,inverse_image2(X0,X3)) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_94,plain,
( ~ apply(X0,X1,X2)
| ~ member(X1,X3)
| ~ member(X2,X4)
| member(X1,inverse_image3(X0,X4,X3)) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_95,plain,
( ~ member(X0,inverse_image3(X1,X2,X3))
| apply(X1,X0,sK9(X1,X2,X0)) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_96,plain,
( ~ member(X0,inverse_image3(X1,X2,X3))
| member(sK9(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_98,plain,
( ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_99,plain,
( ~ sP0(X0,X1)
| apply(X0,sK11(X0,X1),sK12(X0,X1)) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_100,plain,
( ~ sP0(X0,X1)
| apply(X0,sK10(X0,X1),sK11(X0,X1)) ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_101,plain,
( ~ sP0(X0,X1)
| member(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_102,plain,
( ~ sP0(X0,X1)
| member(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_103,plain,
( ~ sP0(X0,X1)
| member(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_104,plain,
( ~ apply(X0,sK14(X1,X0),sK13(X1,X0))
| ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_105,plain,
( ~ apply(X0,sK14(X1,X0),sK13(X1,X0))
| member(sK15(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_106,plain,
( ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| apply(X0,sK13(X1,X0),sK14(X1,X0))
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_107,plain,
( apply(X0,sK13(X1,X0),sK14(X1,X0))
| member(sK15(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_108,plain,
( ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| member(sK14(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_109,plain,
( member(sK14(X0,X1),X0)
| member(sK15(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_110,plain,
( ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| member(sK13(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_111,plain,
( member(sK13(X0,X1),X0)
| member(sK15(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_115,negated_conjecture,
~ equivalence(sK19,sK17),
inference(cnf_transformation,[],[f216]) ).
cnf(c_116,negated_conjecture,
( ~ apply(sK16,X0,X1)
| ~ apply(sK16,X2,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| ~ member(X2,sK17)
| apply(sK19,X0,X2) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_117,negated_conjecture,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK16,X1,sK20(X0,X1)) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_118,negated_conjecture,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK16,X0,sK20(X0,X1)) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_119,negated_conjecture,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(sK20(X0,X1),sK18) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_120,negated_conjecture,
maps(sK16,sK17,sK18),
inference(cnf_transformation,[],[f211]) ).
cnf(c_254,plain,
( ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ sP0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
cnf(c_258,plain,
( ~ sP0(X0,X1)
| apply(X0,sK11(X0,X1),sK12(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
cnf(c_260,plain,
( ~ sP0(X0,X1)
| apply(X0,sK10(X0,X1),sK11(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_262,plain,
( ~ sP0(X0,X1)
| member(sK12(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
cnf(c_264,plain,
( ~ sP0(X0,X1)
| member(sK11(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
cnf(c_266,plain,
( ~ sP0(X0,X1)
| member(sK10(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
cnf(c_719,plain,
( X0 != sK16
| X1 != sK17
| X2 != sK18
| ~ apply(X0,X3,X4)
| ~ apply(X0,X3,X5)
| ~ member(X3,X1)
| ~ member(X4,X2)
| ~ member(X5,X2)
| X4 = X5 ),
inference(resolution_lifted,[status(thm)],[c_75,c_120]) ).
cnf(c_720,plain,
( ~ apply(sK16,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| ~ member(X2,sK18)
| X1 = X2 ),
inference(unflattening,[status(thm)],[c_719]) ).
cnf(c_740,plain,
( X0 != sK16
| X1 != sK17
| X2 != sK18
| ~ member(X3,X1)
| member(sK4(X0,X2,X3),X2) ),
inference(resolution_lifted,[status(thm)],[c_77,c_120]) ).
cnf(c_741,plain,
( ~ member(X0,sK17)
| member(sK4(sK16,sK18,X0),sK18) ),
inference(unflattening,[status(thm)],[c_740]) ).
cnf(c_749,plain,
( X0 != sK16
| X1 != sK17
| X2 != sK18
| ~ member(X3,X1)
| apply(X0,X3,sK4(X0,X2,X3)) ),
inference(resolution_lifted,[status(thm)],[c_76,c_120]) ).
cnf(c_750,plain,
( ~ member(X0,sK17)
| apply(sK16,X0,sK4(sK16,sK18,X0)) ),
inference(unflattening,[status(thm)],[c_749]) ).
cnf(c_834,plain,
( X0 != sK17
| X1 != sK19
| member(sK13(X0,X1),X0)
| member(sK15(X0,X1),X0)
| sP0(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_111,c_115]) ).
cnf(c_835,plain,
( member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_834]) ).
cnf(c_845,plain,
( X0 != sK17
| X1 != sK19
| member(sK14(X0,X1),X0)
| member(sK15(X0,X1),X0)
| sP0(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_109,c_115]) ).
cnf(c_846,plain,
( member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_845]) ).
cnf(c_856,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| member(sK13(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_110,c_115]) ).
cnf(c_857,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK13(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_856]) ).
cnf(c_867,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| member(sK14(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_108,c_115]) ).
cnf(c_868,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK14(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_867]) ).
cnf(c_878,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK13(X1,X0),sK14(X1,X0))
| member(sK15(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_107,c_115]) ).
cnf(c_879,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_878]) ).
cnf(c_889,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| apply(X0,sK13(X1,X0),sK14(X1,X0))
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_106,c_115]) ).
cnf(c_890,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_889]) ).
cnf(c_900,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK14(X1,X0),sK13(X1,X0))
| member(sK15(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_105,c_115]) ).
cnf(c_901,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_900]) ).
cnf(c_911,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK14(X1,X0),sK13(X1,X0))
| ~ apply(X0,sK15(X1,X0),sK15(X1,X0))
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_104,c_115]) ).
cnf(c_912,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_911]) ).
cnf(c_946,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_266,c_912]) ).
cnf(c_947,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(unflattening,[status(thm)],[c_946]) ).
cnf(c_957,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK10(X0,X1),X1)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_266,c_901]) ).
cnf(c_958,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_957]) ).
cnf(c_968,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_266,c_890]) ).
cnf(c_969,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(unflattening,[status(thm)],[c_968]) ).
cnf(c_979,plain,
( X0 != sK19
| X1 != sK17
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(X0,X1),X1)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_266,c_879]) ).
cnf(c_980,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_979]) ).
cnf(c_990,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(X0,X1),X1)
| member(sK14(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_266,c_868]) ).
cnf(c_991,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_990]) ).
cnf(c_1001,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(X0,X1),X1)
| member(sK13(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_266,c_857]) ).
cnf(c_1002,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1001]) ).
cnf(c_1012,plain,
( X0 != sK19
| X1 != sK17
| member(sK10(X0,X1),X1)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_266,c_846]) ).
cnf(c_1013,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1012]) ).
cnf(c_1023,plain,
( X0 != sK19
| X1 != sK17
| member(sK10(X0,X1),X1)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_266,c_835]) ).
cnf(c_1024,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1023]) ).
cnf(c_1034,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_264,c_912]) ).
cnf(c_1035,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(unflattening,[status(thm)],[c_1034]) ).
cnf(c_1045,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK11(X0,X1),X1)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_264,c_901]) ).
cnf(c_1046,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1045]) ).
cnf(c_1056,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_264,c_890]) ).
cnf(c_1057,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(unflattening,[status(thm)],[c_1056]) ).
cnf(c_1067,plain,
( X0 != sK19
| X1 != sK17
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(X0,X1),X1)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_264,c_879]) ).
cnf(c_1068,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1067]) ).
cnf(c_1078,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(X0,X1),X1)
| member(sK14(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_264,c_868]) ).
cnf(c_1079,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1078]) ).
cnf(c_1089,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(X0,X1),X1)
| member(sK13(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_264,c_857]) ).
cnf(c_1090,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1089]) ).
cnf(c_1100,plain,
( X0 != sK19
| X1 != sK17
| member(sK11(X0,X1),X1)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_264,c_846]) ).
cnf(c_1101,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1100]) ).
cnf(c_1111,plain,
( X0 != sK19
| X1 != sK17
| member(sK11(X0,X1),X1)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_264,c_835]) ).
cnf(c_1112,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1111]) ).
cnf(c_1122,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_262,c_912]) ).
cnf(c_1123,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(unflattening,[status(thm)],[c_1122]) ).
cnf(c_1133,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK12(X0,X1),X1)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_262,c_901]) ).
cnf(c_1134,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1133]) ).
cnf(c_1144,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_262,c_890]) ).
cnf(c_1145,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(unflattening,[status(thm)],[c_1144]) ).
cnf(c_1155,plain,
( X0 != sK19
| X1 != sK17
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(X0,X1),X1)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_262,c_879]) ).
cnf(c_1156,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1155]) ).
cnf(c_1166,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(X0,X1),X1)
| member(sK14(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_262,c_868]) ).
cnf(c_1167,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1166]) ).
cnf(c_1177,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(X0,X1),X1)
| member(sK13(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_262,c_857]) ).
cnf(c_1178,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1177]) ).
cnf(c_1188,plain,
( X0 != sK19
| X1 != sK17
| member(sK12(X0,X1),X1)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_262,c_846]) ).
cnf(c_1189,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1188]) ).
cnf(c_1199,plain,
( X0 != sK19
| X1 != sK17
| member(sK12(X0,X1),X1)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_262,c_835]) ).
cnf(c_1200,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1199]) ).
cnf(c_1210,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK10(X0,X1),sK11(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_260,c_912]) ).
cnf(c_1211,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17)) ),
inference(unflattening,[status(thm)],[c_1210]) ).
cnf(c_1221,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_260,c_901]) ).
cnf(c_1222,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1221]) ).
cnf(c_1232,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(resolution_lifted,[status(thm)],[c_260,c_890]) ).
cnf(c_1233,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(unflattening,[status(thm)],[c_1232]) ).
cnf(c_1243,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_260,c_879]) ).
cnf(c_1244,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1243]) ).
cnf(c_1254,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| member(sK14(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_260,c_868]) ).
cnf(c_1255,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1254]) ).
cnf(c_1265,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| member(sK13(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_260,c_857]) ).
cnf(c_1266,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1265]) ).
cnf(c_1276,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_260,c_846]) ).
cnf(c_1277,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1276]) ).
cnf(c_1287,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK10(X0,X1),sK11(X0,X1))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_260,c_835]) ).
cnf(c_1288,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1287]) ).
cnf(c_1298,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK11(X0,X1),sK12(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_258,c_912]) ).
cnf(c_1299,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17)) ),
inference(unflattening,[status(thm)],[c_1298]) ).
cnf(c_1309,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_258,c_901]) ).
cnf(c_1310,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1309]) ).
cnf(c_1320,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(resolution_lifted,[status(thm)],[c_258,c_890]) ).
cnf(c_1321,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(unflattening,[status(thm)],[c_1320]) ).
cnf(c_1331,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_258,c_879]) ).
cnf(c_1332,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1331]) ).
cnf(c_1342,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| member(sK14(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_258,c_868]) ).
cnf(c_1343,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1342]) ).
cnf(c_1353,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| member(sK13(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_258,c_857]) ).
cnf(c_1354,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1353]) ).
cnf(c_1364,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_258,c_846]) ).
cnf(c_1365,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1364]) ).
cnf(c_1375,plain,
( X0 != sK19
| X1 != sK17
| apply(X0,sK11(X0,X1),sK12(X0,X1))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_258,c_835]) ).
cnf(c_1376,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1375]) ).
cnf(c_1386,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19)) ),
inference(resolution_lifted,[status(thm)],[c_254,c_912]) ).
cnf(c_1387,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19)) ),
inference(unflattening,[status(thm)],[c_1386]) ).
cnf(c_1397,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_254,c_901]) ).
cnf(c_1398,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1397]) ).
cnf(c_1408,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(resolution_lifted,[status(thm)],[c_254,c_890]) ).
cnf(c_1409,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(unflattening,[status(thm)],[c_1408]) ).
cnf(c_1419,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_254,c_879]) ).
cnf(c_1420,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1419]) ).
cnf(c_1430,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK14(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_254,c_868]) ).
cnf(c_1431,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1430]) ).
cnf(c_1441,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK13(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_254,c_857]) ).
cnf(c_1442,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1441]) ).
cnf(c_1452,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_254,c_846]) ).
cnf(c_1453,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1452]) ).
cnf(c_1463,plain,
( X0 != sK19
| X1 != sK17
| ~ apply(X0,sK10(X0,X1),sK12(X0,X1))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution_lifted,[status(thm)],[c_254,c_835]) ).
cnf(c_1464,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1463]) ).
cnf(c_3181,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK16,sK15(sK17,sK19),sK4(sK16,sK18,sK15(sK17,sK19))) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_3182,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK4(sK16,sK18,sK15(sK17,sK19)),sK18) ),
inference(instantiation,[status(thm)],[c_741]) ).
cnf(c_3183,plain,
( ~ apply(sK16,sK15(sK17,sK19),X0)
| ~ member(sK15(sK17,sK19),sK17)
| ~ apply(sK16,X1,X0)
| ~ member(X0,sK18)
| ~ member(X1,sK17)
| apply(sK19,X1,sK15(sK17,sK19)) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_3462,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK16,sK14(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_117,c_1244]) ).
cnf(c_3463,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK16,sK14(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_117,c_1332]) ).
cnf(c_3509,plain,
( ~ apply(sK16,sK15(sK17,sK19),sK4(sK16,sK18,sK15(sK17,sK19)))
| ~ apply(sK16,X0,sK4(sK16,sK18,sK15(sK17,sK19)))
| ~ member(sK4(sK16,sK18,sK15(sK17,sK19)),sK18)
| ~ member(sK15(sK17,sK19),sK17)
| ~ member(X0,sK17)
| apply(sK19,X0,sK15(sK17,sK19)) ),
inference(instantiation,[status(thm)],[c_3183]) ).
cnf(c_3517,plain,
( apply(sK16,sK14(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_3462,c_1277,c_1288,c_3462]) ).
cnf(c_3519,plain,
( apply(sK16,sK14(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_3463,c_1365,c_1376,c_3463]) ).
cnf(c_3527,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK16,sK13(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_118,c_1244]) ).
cnf(c_3528,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK16,sK13(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_118,c_1332]) ).
cnf(c_3572,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK10(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17))) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_3573,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK11(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17))) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_3574,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| member(sK20(sK10(sK19,sK17),sK11(sK19,sK17)),sK18) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_3583,plain,
( apply(sK16,sK13(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_3527,c_1277,c_1288,c_3527]) ).
cnf(c_3601,plain,
( ~ apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| member(sK20(sK11(sK19,sK17),sK12(sK19,sK17)),sK18) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_3604,plain,
( apply(sK16,sK13(sK17,sK19),sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_3528,c_1365,c_1376,c_3528]) ).
cnf(c_3612,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| member(sK20(sK13(sK17,sK19),sK14(sK17,sK19)),sK18)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_119,c_1244]) ).
cnf(c_3613,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| member(sK20(sK13(sK17,sK19),sK14(sK17,sK19)),sK18)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_119,c_1332]) ).
cnf(c_3663,plain,
( ~ apply(sK16,X0,sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| ~ member(sK20(sK13(sK17,sK19),sK14(sK17,sK19)),sK18)
| ~ member(sK13(sK17,sK19),sK17)
| ~ member(X0,sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,X0,sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_116,c_3583]) ).
cnf(c_3664,plain,
( ~ apply(sK16,X0,sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| ~ member(sK20(sK13(sK17,sK19),sK14(sK17,sK19)),sK18)
| ~ member(sK13(sK17,sK19),sK17)
| ~ member(X0,sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,X0,sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_116,c_3604]) ).
cnf(c_3779,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ member(sK20(X1,X2),sK18)
| ~ apply(sK19,X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| apply(sK19,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_116]) ).
cnf(c_3780,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ member(sK20(X1,X2),sK18)
| ~ apply(sK19,X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| apply(sK19,X1,X0) ),
inference(superposition,[status(thm)],[c_118,c_116]) ).
cnf(c_3805,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(sK4(sK16,sK18,X1),sK18)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(superposition,[status(thm)],[c_750,c_116]) ).
cnf(c_3821,plain,
( ~ member(sK4(sK16,sK18,X0),sK18)
| ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(superposition,[status(thm)],[c_750,c_3805]) ).
cnf(c_3872,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(superposition,[status(thm)],[c_118,c_3779]) ).
cnf(c_3899,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3872,c_119,c_3872]) ).
cnf(c_3902,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X0,X0) ),
inference(superposition,[status(thm)],[c_118,c_3780]) ).
cnf(c_3905,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3902,c_741,c_3821]) ).
cnf(c_4028,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_980,c_3899]) ).
cnf(c_4079,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_1068,c_3899]) ).
cnf(c_4270,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_1156,c_3899]) ).
cnf(c_4321,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_958,c_958,c_1013,c_1024,c_4028]) ).
cnf(c_4335,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_3905,c_991]) ).
cnf(c_4433,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_3905,c_1002]) ).
cnf(c_4438,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1046,c_1046,c_1101,c_1112,c_4079]) ).
cnf(c_4444,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_3905,c_1079]) ).
cnf(c_4447,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_3905,c_1090]) ).
cnf(c_4450,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1134,c_1134,c_1189,c_1200,c_4270]) ).
cnf(c_4601,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ apply(sK16,X1,sK20(X1,X2))
| ~ member(sK20(X1,X2),sK18)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_5460,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3872,c_3899]) ).
cnf(c_5462,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3902,c_3905]) ).
cnf(c_5654,plain,
( ~ apply(sK16,X0,sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| ~ member(X0,sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,X0,sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_3663,c_1277,c_1288,c_3612,c_3663]) ).
cnf(c_5742,plain,
( ~ member(sK14(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_5654,c_3517]) ).
cnf(c_5747,plain,
( ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_5654,c_3583]) ).
cnf(c_5765,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1277,c_1222,c_1277,c_5742]) ).
cnf(c_5769,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_5765,c_5460]) ).
cnf(c_5823,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_5747,c_1222,c_1277,c_5742]) ).
cnf(c_5825,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK11(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_5823,c_117]) ).
cnf(c_5826,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK10(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_5823,c_118]) ).
cnf(c_5827,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| member(sK20(sK10(sK19,sK17),sK11(sK19,sK17)),sK18)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_5823,c_119]) ).
cnf(c_5884,plain,
( apply(sK16,sK11(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_5825,c_1046,c_1101,c_1112,c_4079,c_4321,c_5825]) ).
cnf(c_5963,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_5462,c_1167]) ).
cnf(c_6026,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_5462,c_1178]) ).
cnf(c_6087,plain,
( apply(sK16,sK10(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_5826,c_1046,c_1101,c_1112,c_4079,c_4321,c_5826]) ).
cnf(c_6089,plain,
( ~ apply(sK16,X0,sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| ~ member(sK20(sK10(sK19,sK17),sK11(sK19,sK17)),sK18)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(X0,sK17)
| apply(sK19,X0,sK10(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6087,c_116]) ).
cnf(c_6121,plain,
( ~ apply(sK16,X0,sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| ~ member(X0,sK17)
| apply(sK19,X0,sK10(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6089,c_1046,c_1101,c_1112,c_4079,c_4321,c_5827,c_6089]) ).
cnf(c_6126,plain,
( ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6121,c_5884]) ).
cnf(c_6262,plain,
( apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6126,c_1046,c_1101,c_1112,c_4079,c_4321,c_5769]) ).
cnf(c_6523,plain,
( ~ apply(sK16,sK10(sK19,sK17),sK20(sK10(sK19,sK17),X0))
| ~ apply(sK16,X1,sK20(sK10(sK19,sK17),X0))
| ~ member(sK20(sK10(sK19,sK17),X0),sK18)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,sK10(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_4601]) ).
cnf(c_6596,plain,
( ~ apply(sK16,X0,sK20(sK13(sK17,sK19),sK14(sK17,sK19)))
| ~ member(X0,sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,X0,sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_3664,c_1365,c_1376,c_3613,c_3664]) ).
cnf(c_6600,plain,
( ~ member(sK14(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6596,c_3519]) ).
cnf(c_6605,plain,
( ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6596,c_3604]) ).
cnf(c_6609,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6605,c_1310,c_1365,c_6600]) ).
cnf(c_6611,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK12(sK19,sK17),sK20(sK11(sK19,sK17),sK12(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6609,c_117]) ).
cnf(c_6612,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK11(sK19,sK17),sK20(sK11(sK19,sK17),sK12(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6609,c_118]) ).
cnf(c_6613,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| member(sK20(sK11(sK19,sK17),sK12(sK19,sK17)),sK18)
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6609,c_119]) ).
cnf(c_6614,plain,
( apply(sK16,sK12(sK19,sK17),sK20(sK11(sK19,sK17),sK12(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6611,c_4438,c_4450,c_6611]) ).
cnf(c_6804,plain,
( apply(sK16,sK11(sK19,sK17),sK20(sK11(sK19,sK17),sK12(sK19,sK17)))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6612,c_4438,c_4450,c_6612]) ).
cnf(c_6806,plain,
( ~ apply(sK16,X0,sK20(sK11(sK19,sK17),sK12(sK19,sK17)))
| ~ member(sK20(sK11(sK19,sK17),sK12(sK19,sK17)),sK18)
| ~ member(sK11(sK19,sK17),sK17)
| ~ member(X0,sK17)
| apply(sK19,X0,sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6804,c_116]) ).
cnf(c_6830,plain,
( ~ apply(sK16,X0,sK20(sK11(sK19,sK17),sK12(sK19,sK17)))
| ~ member(X0,sK17)
| apply(sK19,X0,sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6806,c_4438,c_4450,c_6613,c_6806]) ).
cnf(c_6835,plain,
( ~ member(sK12(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_6830,c_6614]) ).
cnf(c_6839,plain,
( apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6835,c_4450,c_6835]) ).
cnf(c_6994,plain,
( ~ apply(sK16,sK15(sK17,sK19),sK4(sK16,sK18,sK15(sK17,sK19)))
| ~ member(sK4(sK16,sK18,sK15(sK17,sK19)),sK18)
| ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19)) ),
inference(instantiation,[status(thm)],[c_3509]) ).
cnf(c_8199,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3872,c_3899]) ).
cnf(c_8866,plain,
( member(sK14(sK17,sK19),sK17)
| ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1453,c_1431,c_1453,c_3182,c_3181,c_6994]) ).
cnf(c_8867,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(renaming,[status(thm)],[c_8866]) ).
cnf(c_8868,plain,
( member(sK13(sK17,sK19),sK17)
| ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1464,c_1442,c_1464,c_3182,c_3181,c_6994]) ).
cnf(c_8869,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(renaming,[status(thm)],[c_8868]) ).
cnf(c_9154,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_969,c_958,c_969,c_1013,c_1024,c_3182,c_3181,c_4028,c_6994]) ).
cnf(c_9160,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(superposition,[status(thm)],[c_9154,c_8199]) ).
cnf(c_9674,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1057,c_1046,c_1057,c_1101,c_1112,c_3182,c_3181,c_4079,c_6994]) ).
cnf(c_9680,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(superposition,[status(thm)],[c_9674,c_8199]) ).
cnf(c_9684,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1145,c_1134,c_1145,c_1189,c_1200,c_3182,c_3181,c_4270,c_6994]) ).
cnf(c_9690,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(superposition,[status(thm)],[c_9684,c_8199]) ).
cnf(c_9706,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1255,c_1222,c_1255,c_1277,c_3182,c_3181,c_5742,c_6994]) ).
cnf(c_9712,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_9706,c_8199]) ).
cnf(c_9787,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1266,c_1222,c_1266,c_1277,c_3182,c_3181,c_5742,c_6994]) ).
cnf(c_9793,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_9787,c_8199]) ).
cnf(c_10339,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1343,c_1310,c_1343,c_1365,c_3182,c_3181,c_6600,c_6994]) ).
cnf(c_10345,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_10339,c_8199]) ).
cnf(c_10349,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1354,c_1310,c_1354,c_1365,c_3182,c_3181,c_6600,c_6994]) ).
cnf(c_10355,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_10349,c_8199]) ).
cnf(c_10359,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1420,c_1409,c_1420,c_3182,c_3181,c_6994]) ).
cnf(c_10360,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(renaming,[status(thm)],[c_10359]) ).
cnf(c_10363,plain,
member(sK10(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_947,c_947,c_958,c_1013,c_1024,c_3182,c_3181,c_4028,c_4335,c_4433,c_6994,c_9160]) ).
cnf(c_10443,plain,
member(sK11(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_1035,c_1035,c_1046,c_1101,c_1112,c_3182,c_3181,c_4079,c_4444,c_4447,c_6994,c_9680]) ).
cnf(c_11151,plain,
( ~ apply(sK19,X0,sK14(sK17,sK19))
| ~ member(sK14(sK17,sK19),sK17)
| ~ member(X0,sK17)
| member(sK20(X0,sK14(sK17,sK19)),sK18) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_11153,plain,
( ~ apply(sK19,X0,sK10(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(X0,sK17)
| member(sK20(X0,sK10(sK19,sK17)),sK18) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_12866,plain,
member(sK12(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_1189,c_1123,c_1134,c_1189,c_1200,c_3182,c_3181,c_4270,c_5963,c_6026,c_6994,c_9690]) ).
cnf(c_14931,plain,
( ~ apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| member(sK20(sK13(sK17,sK19),sK14(sK17,sK19)),sK18) ),
inference(instantiation,[status(thm)],[c_11151]) ).
cnf(c_19340,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1398,c_1387,c_1398,c_3182,c_3181,c_6994]) ).
cnf(c_19341,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19)) ),
inference(renaming,[status(thm)],[c_19340]) ).
cnf(c_20770,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3872,c_3899]) ).
cnf(c_20772,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3902,c_3905]) ).
cnf(c_22763,plain,
( ~ member(sK20(X0,X1),X2)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(X1,inverse_image2(sK16,X2)) ),
inference(superposition,[status(thm)],[c_117,c_91]) ).
cnf(c_22948,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(X1,inverse_image2(sK16,sK18)) ),
inference(superposition,[status(thm)],[c_119,c_22763]) ).
cnf(c_22967,plain,
( ~ member(X0,sK17)
| member(X0,inverse_image2(sK16,sK18)) ),
inference(superposition,[status(thm)],[c_20772,c_22948]) ).
cnf(c_23223,plain,
( ~ member(sK20(X0,X1),X2)
| ~ apply(sK19,X0,X1)
| ~ member(X1,X3)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(X1,inverse_image3(sK16,X2,X3)) ),
inference(superposition,[status(thm)],[c_117,c_94]) ).
cnf(c_23383,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(X1,inverse_image3(sK16,sK18,X2)) ),
inference(superposition,[status(thm)],[c_119,c_23223]) ).
cnf(c_23406,plain,
( ~ member(X0,X1)
| ~ member(X0,sK17)
| member(X0,inverse_image3(sK16,sK18,X1)) ),
inference(superposition,[status(thm)],[c_20772,c_23383]) ).
cnf(c_23686,plain,
( ~ member(X0,X1)
| ~ member(X0,sK17)
| apply(sK16,X0,sK9(sK16,sK18,X0)) ),
inference(superposition,[status(thm)],[c_23406,c_95]) ).
cnf(c_23687,plain,
( ~ member(X0,X1)
| ~ member(X0,sK17)
| member(sK9(sK16,sK18,X0),sK18) ),
inference(superposition,[status(thm)],[c_23406,c_96]) ).
cnf(c_24022,plain,
( ~ member(X0,sK17)
| member(sK9(sK16,sK18,X0),sK18) ),
inference(superposition,[status(thm)],[c_22967,c_23687]) ).
cnf(c_24264,plain,
( ~ member(X0,sK17)
| apply(sK16,X0,sK9(sK16,sK18,X0)) ),
inference(superposition,[status(thm)],[c_22967,c_23686]) ).
cnf(c_35481,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_1233,c_1233,c_3182,c_3181,c_5765,c_6994]) ).
cnf(c_35542,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(superposition,[status(thm)],[c_35481,c_20770]) ).
cnf(c_35741,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_1321,c_1321,c_3182,c_3181,c_6609,c_6994]) ).
cnf(c_35802,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(superposition,[status(thm)],[c_35741,c_20770]) ).
cnf(c_40648,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3872,c_3899]) ).
cnf(c_41579,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1255,c_9706]) ).
cnf(c_41585,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_41579,c_40648]) ).
cnf(c_46325,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1266,c_9787]) ).
cnf(c_46340,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_46325,c_40648]) ).
cnf(c_46363,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1343,c_10339]) ).
cnf(c_46378,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_46363,c_40648]) ).
cnf(c_46396,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1354,c_10349]) ).
cnf(c_46411,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_46396,c_40648]) ).
cnf(c_54499,plain,
( apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_41585,c_947,c_958,c_1013,c_1024,c_1035,c_1046,c_1101,c_1112,c_3182,c_3181,c_4028,c_4079,c_4335,c_4433,c_4444,c_4447,c_6994,c_9160,c_9680,c_9712]) ).
cnf(c_55289,plain,
( apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_46340,c_947,c_958,c_1013,c_1024,c_1035,c_1046,c_1101,c_1112,c_3182,c_3181,c_4028,c_4079,c_4335,c_4433,c_4444,c_4447,c_6994,c_9160,c_9680,c_9793]) ).
cnf(c_55462,plain,
( apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_46378,c_1035,c_1046,c_1101,c_1112,c_1123,c_1134,c_1189,c_1200,c_3182,c_3181,c_4079,c_4270,c_4444,c_4447,c_5963,c_6026,c_6994,c_9680,c_9690,c_10345]) ).
cnf(c_55776,plain,
( apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_46411,c_1035,c_1046,c_1101,c_1112,c_1123,c_1134,c_1189,c_1200,c_3182,c_3181,c_4079,c_4270,c_4444,c_4447,c_5963,c_6026,c_6994,c_9680,c_9690,c_10355]) ).
cnf(c_82693,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ member(sK20(X1,X2),sK18)
| ~ apply(sK19,X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| apply(sK19,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_116]) ).
cnf(c_82699,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3872,c_3899]) ).
cnf(c_82701,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3902,c_3905]) ).
cnf(c_85327,plain,
( ~ member(sK20(X0,X1),X2)
| ~ apply(sK19,X0,X1)
| ~ member(X1,X3)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(X1,inverse_image3(sK16,X2,X3)) ),
inference(superposition,[status(thm)],[c_117,c_94]) ).
cnf(c_85557,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| member(X1,inverse_image3(sK16,sK18,X2)) ),
inference(superposition,[status(thm)],[c_119,c_85327]) ).
cnf(c_85596,plain,
( ~ member(X0,X1)
| ~ member(X0,sK17)
| member(X0,inverse_image3(sK16,sK18,X1)) ),
inference(superposition,[status(thm)],[c_82701,c_85557]) ).
cnf(c_86182,plain,
( ~ member(X0,X1)
| ~ member(X0,sK17)
| apply(sK16,X0,sK9(sK16,sK18,X0)) ),
inference(superposition,[status(thm)],[c_85596,c_95]) ).
cnf(c_86316,plain,
( ~ member(X0,sK17)
| apply(sK16,X0,sK9(sK16,sK18,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_86182,c_24264]) ).
cnf(c_86324,plain,
( ~ member(sK9(sK16,sK18,X0),sK18)
| ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK9(sK16,sK18,X0) = X1 ),
inference(superposition,[status(thm)],[c_86316,c_720]) ).
cnf(c_87730,plain,
( ~ apply(sK16,sK10(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| ~ apply(sK16,X0,sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| ~ member(sK20(sK10(sK19,sK17),sK11(sK19,sK17)),sK18)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(X0,sK17)
| apply(sK19,X0,sK10(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_6523]) ).
cnf(c_89239,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_1233,c_35481]) ).
cnf(c_89273,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(superposition,[status(thm)],[c_89239,c_82699]) ).
cnf(c_89323,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_1321,c_35741]) ).
cnf(c_89357,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(superposition,[status(thm)],[c_89323,c_82699]) ).
cnf(c_93923,plain,
( ~ apply(sK16,sK10(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| ~ apply(sK16,sK11(sK19,sK17),sK20(sK10(sK19,sK17),sK11(sK19,sK17)))
| ~ member(sK20(sK10(sK19,sK17),sK11(sK19,sK17)),sK18)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_87730]) ).
cnf(c_102706,plain,
( ~ apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| member(sK20(sK11(sK19,sK17),sK10(sK19,sK17)),sK18) ),
inference(instantiation,[status(thm)],[c_11153]) ).
cnf(c_107409,plain,
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK9(sK16,sK18,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_86324,c_24022,c_86324]) ).
cnf(c_107414,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK9(sK16,sK18,X1) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_107409]) ).
cnf(c_107415,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK9(sK16,sK18,X0) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_107409]) ).
cnf(c_107424,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK9(sK16,sK18,X1) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_107414,c_119,c_107414]) ).
cnf(c_107460,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK9(sK16,sK18,X0) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_107415,c_119,c_107415]) ).
cnf(c_111871,plain,
( ~ member(sK20(sK13(sK17,sK19),sK14(sK17,sK19)),sK18)
| ~ apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19)) ),
inference(instantiation,[status(thm)],[c_3872]) ).
cnf(c_116410,plain,
( ~ member(sK20(sK11(sK19,sK17),X0),sK18)
| ~ apply(sK19,sK11(sK19,sK17),X0)
| ~ member(sK11(sK19,sK17),sK17)
| ~ member(X0,sK17)
| apply(sK19,X0,sK11(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_3872]) ).
cnf(c_118539,plain,
apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_89273,c_1035,c_1046,c_1101,c_1112,c_1211,c_3182,c_3181,c_3574,c_3573,c_3572,c_4079,c_4444,c_4447,c_6262,c_6994,c_9680,c_10363,c_14931,c_35542,c_54499,c_55289,c_93923,c_111871]) ).
cnf(c_118615,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| sK20(sK11(sK19,sK17),sK10(sK19,sK17)) = sK9(sK16,sK18,sK11(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_118539,c_107460]) ).
cnf(c_129706,plain,
sK20(sK11(sK19,sK17),sK10(sK19,sK17)) = sK9(sK16,sK18,sK11(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_118615,c_1035,c_1046,c_1101,c_1112,c_3182,c_3181,c_4079,c_4444,c_4447,c_6994,c_9680,c_10363,c_118615]) ).
cnf(c_129766,plain,
( ~ apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK10(sK19,sK17),sK9(sK16,sK18,sK11(sK19,sK17))) ),
inference(superposition,[status(thm)],[c_129706,c_117]) ).
cnf(c_129769,plain,
( ~ apply(sK16,X0,sK9(sK16,sK18,sK11(sK19,sK17)))
| ~ member(sK20(sK11(sK19,sK17),sK10(sK19,sK17)),sK18)
| ~ apply(sK19,sK11(sK19,sK17),sK10(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| ~ member(X0,sK17)
| apply(sK19,sK10(sK19,sK17),X0) ),
inference(superposition,[status(thm)],[c_129706,c_82693]) ).
cnf(c_130722,plain,
apply(sK16,sK10(sK19,sK17),sK9(sK16,sK18,sK11(sK19,sK17))),
inference(global_subsumption_just,[status(thm)],[c_129766,c_1035,c_1046,c_1101,c_1112,c_3182,c_3181,c_4079,c_4444,c_4447,c_6994,c_9680,c_10363,c_118539,c_129766]) ).
cnf(c_130733,plain,
( ~ apply(sK16,X0,sK9(sK16,sK18,sK11(sK19,sK17)))
| ~ member(sK9(sK16,sK18,sK11(sK19,sK17)),sK18)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(X0,sK17)
| apply(sK19,sK10(sK19,sK17),X0) ),
inference(superposition,[status(thm)],[c_130722,c_116]) ).
cnf(c_130743,plain,
( ~ apply(sK16,X0,sK9(sK16,sK18,sK11(sK19,sK17)))
| ~ member(X0,sK17)
| apply(sK19,sK10(sK19,sK17),X0) ),
inference(global_subsumption_just,[status(thm)],[c_130733,c_1035,c_1046,c_1101,c_1112,c_3182,c_3181,c_4079,c_4444,c_4447,c_6994,c_9680,c_10363,c_102706,c_118539,c_129769]) ).
cnf(c_132718,plain,
( ~ member(sK20(sK11(sK19,sK17),sK12(sK19,sK17)),sK18)
| ~ apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_116410]) ).
cnf(c_141117,plain,
apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_89357,c_1299,c_3182,c_3181,c_3601,c_6839,c_6994,c_10443,c_12866,c_14931,c_35802,c_55462,c_55776,c_111871,c_132718]) ).
cnf(c_141201,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| sK20(sK12(sK19,sK17),sK11(sK19,sK17)) = sK9(sK16,sK18,sK11(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_141117,c_107424]) ).
cnf(c_149355,plain,
sK20(sK12(sK19,sK17),sK11(sK19,sK17)) = sK9(sK16,sK18,sK11(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_141201,c_10443,c_12866,c_141201]) ).
cnf(c_149421,plain,
( ~ apply(sK19,sK12(sK19,sK17),sK11(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK12(sK19,sK17),sK9(sK16,sK18,sK11(sK19,sK17))) ),
inference(superposition,[status(thm)],[c_149355,c_118]) ).
cnf(c_149790,plain,
apply(sK16,sK12(sK19,sK17),sK9(sK16,sK18,sK11(sK19,sK17))),
inference(global_subsumption_just,[status(thm)],[c_149421,c_10443,c_12866,c_141117,c_149421]) ).
cnf(c_149805,plain,
( ~ member(sK12(sK19,sK17),sK17)
| apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_149790,c_130743]) ).
cnf(c_149806,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_149805,c_111871,c_19341,c_14931,c_12866,c_10360,c_8869,c_8867]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET771+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 11:01:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 85.42/12.33 % SZS status Started for theBenchmark.p
% 85.42/12.33 % SZS status Theorem for theBenchmark.p
% 85.42/12.33
% 85.42/12.33 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 85.42/12.33
% 85.42/12.33 ------ iProver source info
% 85.42/12.33
% 85.42/12.33 git: date: 2023-05-31 18:12:56 +0000
% 85.42/12.33 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 85.42/12.33 git: non_committed_changes: false
% 85.42/12.33 git: last_make_outside_of_git: false
% 85.42/12.33
% 85.42/12.33 ------ Parsing...
% 85.42/12.33 ------ Clausification by vclausify_rel & Parsing by iProver...
% 85.42/12.33
% 85.42/12.33 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 85.42/12.33
% 85.42/12.33 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 85.42/12.33
% 85.42/12.33 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 85.42/12.33 ------ Proving...
% 85.42/12.33 ------ Problem Properties
% 85.42/12.33
% 85.42/12.33
% 85.42/12.33 clauses 104
% 85.42/12.33 conjectures 4
% 85.42/12.33 EPR 4
% 85.42/12.33 Horn 61
% 85.42/12.33 unary 4
% 85.42/12.33 binary 29
% 85.42/12.33 lits 294
% 85.42/12.33 lits eq 4
% 85.42/12.33 fd_pure 0
% 85.42/12.33 fd_pseudo 0
% 85.42/12.33 fd_cond 0
% 85.42/12.33 fd_pseudo_cond 3
% 85.42/12.33 AC symbols 0
% 85.42/12.33
% 85.42/12.33 ------ Input Options Time Limit: Unbounded
% 85.42/12.33
% 85.42/12.33
% 85.42/12.33 ------
% 85.42/12.33 Current options:
% 85.42/12.33 ------
% 85.42/12.33
% 85.42/12.33
% 85.42/12.33
% 85.42/12.33
% 85.42/12.33 ------ Proving...
% 85.42/12.33
% 85.42/12.33
% 85.42/12.33 % SZS status Theorem for theBenchmark.p
% 85.42/12.33
% 85.42/12.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 85.42/12.33
% 85.42/12.34
%------------------------------------------------------------------------------