TSTP Solution File: SET771+4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET771+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Fri May 3 03:01:28 EDT 2024
% Result : Theorem 157.37s 21.37s
% Output : CNFRefutation 157.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of formulae : 365 ( 29 unt; 0 def)
% Number of atoms : 1476 ( 168 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1828 ( 717 ~; 906 |; 158 &)
% ( 9 <=>; 38 =>; 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 : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 564 ( 0 sgn 183 !; 69 ?)
% 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(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(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(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(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_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_1223,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_1224,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_1223]) ).
cnf(c_1244,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_1245,plain,
( ~ member(X0,sK17)
| member(sK4(sK16,sK18,X0),sK18) ),
inference(unflattening,[status(thm)],[c_1244]) ).
cnf(c_1253,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_1254,plain,
( ~ member(X0,sK17)
| apply(sK16,X0,sK4(sK16,sK18,X0)) ),
inference(unflattening,[status(thm)],[c_1253]) ).
cnf(c_1338,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_1339,plain,
( member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_1338]) ).
cnf(c_1349,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_1350,plain,
( member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_1349]) ).
cnf(c_1360,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_1361,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK13(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_1360]) ).
cnf(c_1371,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_1372,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK14(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_1371]) ).
cnf(c_1382,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_1383,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_1382]) ).
cnf(c_1393,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_1394,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_1393]) ).
cnf(c_1404,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_1405,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17)
| sP0(sK19,sK17) ),
inference(unflattening,[status(thm)],[c_1404]) ).
cnf(c_1415,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_1416,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_1415]) ).
cnf(c_1450,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_1416]) ).
cnf(c_1451,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_1450]) ).
cnf(c_1461,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_1405]) ).
cnf(c_1462,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1461]) ).
cnf(c_1472,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_1394]) ).
cnf(c_1473,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_1472]) ).
cnf(c_1483,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_1383]) ).
cnf(c_1484,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1483]) ).
cnf(c_1494,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_1372]) ).
cnf(c_1495,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1494]) ).
cnf(c_1505,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_1361]) ).
cnf(c_1506,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1505]) ).
cnf(c_1516,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_1350]) ).
cnf(c_1517,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1516]) ).
cnf(c_1527,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_1339]) ).
cnf(c_1528,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1527]) ).
cnf(c_1538,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_1416]) ).
cnf(c_1539,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_1538]) ).
cnf(c_1549,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_1405]) ).
cnf(c_1550,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1549]) ).
cnf(c_1560,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_1394]) ).
cnf(c_1561,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_1560]) ).
cnf(c_1571,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_1383]) ).
cnf(c_1572,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1571]) ).
cnf(c_1582,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_1372]) ).
cnf(c_1583,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1582]) ).
cnf(c_1593,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_1361]) ).
cnf(c_1594,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1593]) ).
cnf(c_1604,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_1350]) ).
cnf(c_1605,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1604]) ).
cnf(c_1615,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_1339]) ).
cnf(c_1616,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1615]) ).
cnf(c_1626,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_1416]) ).
cnf(c_1627,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_1626]) ).
cnf(c_1637,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_1405]) ).
cnf(c_1638,plain,
( ~ apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1637]) ).
cnf(c_1648,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_1394]) ).
cnf(c_1649,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_1648]) ).
cnf(c_1659,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_1383]) ).
cnf(c_1660,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1659]) ).
cnf(c_1670,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_1372]) ).
cnf(c_1671,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1670]) ).
cnf(c_1681,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_1361]) ).
cnf(c_1682,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1681]) ).
cnf(c_1692,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_1350]) ).
cnf(c_1693,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1692]) ).
cnf(c_1703,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_1339]) ).
cnf(c_1704,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1703]) ).
cnf(c_1714,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_1416]) ).
cnf(c_1715,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_1714]) ).
cnf(c_1725,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_1405]) ).
cnf(c_1726,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_1725]) ).
cnf(c_1736,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_1394]) ).
cnf(c_1737,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_1736]) ).
cnf(c_1747,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_1383]) ).
cnf(c_1748,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_1747]) ).
cnf(c_1758,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_1372]) ).
cnf(c_1759,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_1758]) ).
cnf(c_1769,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_1361]) ).
cnf(c_1770,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_1769]) ).
cnf(c_1780,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_1350]) ).
cnf(c_1781,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1780]) ).
cnf(c_1791,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_1339]) ).
cnf(c_1792,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1791]) ).
cnf(c_1802,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_1416]) ).
cnf(c_1803,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_1802]) ).
cnf(c_1813,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_1405]) ).
cnf(c_1814,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_1813]) ).
cnf(c_1824,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_1394]) ).
cnf(c_1825,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_1824]) ).
cnf(c_1835,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_1383]) ).
cnf(c_1836,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_1835]) ).
cnf(c_1846,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_1372]) ).
cnf(c_1847,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_1846]) ).
cnf(c_1857,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_1361]) ).
cnf(c_1858,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_1857]) ).
cnf(c_1868,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_1350]) ).
cnf(c_1869,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1868]) ).
cnf(c_1879,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_1339]) ).
cnf(c_1880,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1879]) ).
cnf(c_1890,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_1416]) ).
cnf(c_1891,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_1890]) ).
cnf(c_1901,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_1405]) ).
cnf(c_1902,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_1901]) ).
cnf(c_1912,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_1394]) ).
cnf(c_1913,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_1912]) ).
cnf(c_1923,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_1383]) ).
cnf(c_1924,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_1923]) ).
cnf(c_1934,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_1372]) ).
cnf(c_1935,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_1934]) ).
cnf(c_1945,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_1361]) ).
cnf(c_1946,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_1945]) ).
cnf(c_1956,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_1350]) ).
cnf(c_1957,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1956]) ).
cnf(c_1967,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_1339]) ).
cnf(c_1968,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(unflattening,[status(thm)],[c_1967]) ).
cnf(c_3928,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK16,sK15(sK17,sK19),sK4(sK16,sK18,sK15(sK17,sK19))) ),
inference(instantiation,[status(thm)],[c_1254]) ).
cnf(c_3929,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK4(sK16,sK18,sK15(sK17,sK19)),sK18) ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_3930,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_4131,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_4137,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_1254,c_116]) ).
cnf(c_4146,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK18)
| sK20(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_118,c_1224]) ).
cnf(c_4147,plain,
( ~ member(sK4(sK16,sK18,X0),sK18)
| ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(superposition,[status(thm)],[c_1254,c_1224]) ).
cnf(c_4168,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4137,c_1245]) ).
cnf(c_4169,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(superposition,[status(thm)],[c_1254,c_4168]) ).
cnf(c_4193,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ apply(sK19,X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| apply(sK19,X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4131,c_119]) ).
cnf(c_4195,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(superposition,[status(thm)],[c_118,c_4193]) ).
cnf(c_4250,plain,
( ~ apply(sK19,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK18)
| sK20(X0,X1) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_4146,c_119,c_4146]) ).
cnf(c_4351,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_1484,c_4195]) ).
cnf(c_4376,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_1572,c_4195]) ).
cnf(c_4435,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_3930]) ).
cnf(c_4497,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_1660,c_4195]) ).
cnf(c_4579,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1462,c_1462,c_1517,c_1528,c_4351]) ).
cnf(c_4586,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_4169,c_1495]) ).
cnf(c_4590,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_4169,c_1506]) ).
cnf(c_4813,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1550,c_1550,c_1605,c_1616,c_4376]) ).
cnf(c_4820,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_4169,c_1583]) ).
cnf(c_4824,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_4169,c_1594]) ).
cnf(c_4842,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1638,c_1638,c_1693,c_1704,c_4497]) ).
cnf(c_4849,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_4169,c_1671]) ).
cnf(c_4853,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(superposition,[status(thm)],[c_4169,c_1682]) ).
cnf(c_4994,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_1254,c_116]) ).
cnf(c_5002,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK18)
| sK20(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_118,c_1224]) ).
cnf(c_5003,plain,
( ~ member(sK4(sK16,sK18,X0),sK18)
| ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(superposition,[status(thm)],[c_1254,c_1224]) ).
cnf(c_5009,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4994,c_1245]) ).
cnf(c_5010,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(superposition,[status(thm)],[c_1254,c_5009]) ).
cnf(c_5019,plain,
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_5003,c_1245,c_4147]) ).
cnf(c_5026,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X1) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_5019]) ).
cnf(c_5027,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X0) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_5019]) ).
cnf(c_5030,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X1) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5026,c_119,c_5026]) ).
cnf(c_5037,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X0) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5027,c_119,c_5027]) ).
cnf(c_5099,plain,
( ~ apply(sK19,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK18)
| sK20(X0,X1) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_5002,c_119,c_4146]) ).
cnf(c_5109,plain,
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK20(X0,X0) = X1 ),
inference(superposition,[status(thm)],[c_5010,c_5099]) ).
cnf(c_5307,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1495,c_4579,c_4586]) ).
cnf(c_5312,plain,
( member(sK10(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1506,c_1462,c_1517,c_1528,c_4351,c_4590]) ).
cnf(c_5319,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1583,c_4813,c_4820]) ).
cnf(c_5324,plain,
( member(sK11(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1594,c_1550,c_1605,c_1616,c_4376,c_4824]) ).
cnf(c_5331,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1671,c_4842,c_4849]) ).
cnf(c_5483,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(sK4(sK16,sK18,X1),sK18)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X0,X1) ),
inference(resolution,[status(thm)],[c_116,c_1254]) ).
cnf(c_5503,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5483,c_1245]) ).
cnf(c_5571,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,X0,X1) ),
inference(resolution,[status(thm)],[c_118,c_116]) ).
cnf(c_5665,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ apply(sK19,X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| apply(sK19,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5571,c_119]) ).
cnf(c_5684,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(resolution,[status(thm)],[c_5665,c_117]) ).
cnf(c_5685,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X0,X0) ),
inference(resolution,[status(thm)],[c_5665,c_118]) ).
cnf(c_5732,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5685,c_4169]) ).
cnf(c_5916,plain,
( member(sK12(sK19,sK17),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1682,c_1638,c_1693,c_1704,c_4497,c_4853]) ).
cnf(c_6105,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK20(X0,X0) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_5109]) ).
cnf(c_6135,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(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_1748,c_5684]) ).
cnf(c_6142,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(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_1836,c_5684]) ).
cnf(c_6189,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(resolution,[status(thm)],[c_1473,c_5732]) ).
cnf(c_6190,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6189,c_1462,c_1517,c_1528,c_4351,c_6189]) ).
cnf(c_6200,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(resolution,[status(thm)],[c_6190,c_5684]) ).
cnf(c_6207,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(resolution,[status(thm)],[c_1561,c_5732]) ).
cnf(c_6208,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1748,c_1726,c_1781,c_1792,c_6135]) ).
cnf(c_6222,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6207,c_1550,c_1605,c_1616,c_4376,c_6207]) ).
cnf(c_6232,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(resolution,[status(thm)],[c_6222,c_5684]) ).
cnf(c_6239,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(resolution,[status(thm)],[c_1649,c_5732]) ).
cnf(c_6240,plain,
( apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6239,c_1638,c_1693,c_1704,c_4497,c_6239]) ).
cnf(c_6283,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(resolution,[status(thm)],[c_6240,c_5684]) ).
cnf(c_6301,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1759,c_5732]) ).
cnf(c_6320,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1836,c_1814,c_1869,c_1880,c_6142]) ).
cnf(c_6373,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6301,c_6208,c_6301]) ).
cnf(c_6390,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1770,c_5732]) ).
cnf(c_6405,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6390,c_1726,c_1781,c_1792,c_6135,c_6390]) ).
cnf(c_6433,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1847,c_5732]) ).
cnf(c_6434,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6433,c_6320,c_6433]) ).
cnf(c_6451,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1858,c_5732]) ).
cnf(c_6452,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_6451,c_1814,c_1869,c_1880,c_6142,c_6451]) ).
cnf(c_6469,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19))
| member(sK15(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1924,c_5684]) ).
cnf(c_6470,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK10(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1451,c_1451,c_5307,c_5312,c_6200]) ).
cnf(c_6938,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK10(sK19,sK17),sK17) ),
inference(resolution,[status(thm)],[c_6470,c_5732]) ).
cnf(c_6939,plain,
member(sK10(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_6938,c_4579,c_6938]) ).
cnf(c_6962,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK11(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1539,c_1539,c_5319,c_5324,c_6232]) ).
cnf(c_6972,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK11(sK19,sK17),sK17) ),
inference(resolution,[status(thm)],[c_6962,c_5732]) ).
cnf(c_6973,plain,
member(sK11(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_6972,c_4813,c_6972]) ).
cnf(c_6987,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| member(sK12(sK19,sK17),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1627,c_1627,c_5331,c_5916,c_6283]) ).
cnf(c_6997,plain,
( ~ member(sK15(sK17,sK19),sK17)
| member(sK12(sK19,sK17),sK17) ),
inference(resolution,[status(thm)],[c_6987,c_5732]) ).
cnf(c_6998,plain,
member(sK12(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_6997,c_4842,c_6997]) ).
cnf(c_7009,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK15(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_1902,c_1902,c_1957,c_1968,c_6469]) ).
cnf(c_7304,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK15(sK17,sK19),sK17)
| member(sK14(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1935,c_5732]) ).
cnf(c_7336,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK14(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_7304,c_1902,c_1957,c_1968,c_6469,c_7304]) ).
cnf(c_7401,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK15(sK17,sK19),sK17)
| member(sK13(sK17,sK19),sK17) ),
inference(resolution,[status(thm)],[c_1946,c_5732]) ).
cnf(c_7402,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| member(sK13(sK17,sK19),sK17) ),
inference(global_subsumption_just,[status(thm)],[c_7401,c_1902,c_1957,c_1968,c_6469,c_7401]) ).
cnf(c_7428,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(resolution,[status(thm)],[c_1737,c_5732]) ).
cnf(c_7429,plain,
( apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_7428,c_1726,c_1781,c_1792,c_6135,c_7428]) ).
cnf(c_7439,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19)) ),
inference(resolution,[status(thm)],[c_7429,c_5684]) ).
cnf(c_7446,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(resolution,[status(thm)],[c_1825,c_5732]) ).
cnf(c_7447,plain,
( apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_7446,c_1814,c_1869,c_1880,c_6142,c_7446]) ).
cnf(c_7457,plain,
( ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19)) ),
inference(resolution,[status(thm)],[c_7447,c_5684]) ).
cnf(c_7525,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_1254,c_116]) ).
cnf(c_7535,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7525,c_4195,c_5503]) ).
cnf(c_7646,plain,
member(sK11(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_1605,c_6973]) ).
cnf(c_11015,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1715,c_1715,c_6373,c_6405,c_7439]) ).
cnf(c_14466,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17)) ),
inference(resolution,[status(thm)],[c_11015,c_5732]) ).
cnf(c_14467,plain,
apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_14466,c_6208,c_14466]) ).
cnf(c_16066,plain,
( ~ apply(sK19,sK15(sK17,sK19),sK15(sK17,sK19))
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17)) ),
inference(global_subsumption_just,[status(thm)],[c_1803,c_1803,c_6434,c_6452,c_7457]) ).
cnf(c_16076,plain,
( ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17)) ),
inference(resolution,[status(thm)],[c_16066,c_5732]) ).
cnf(c_16077,plain,
apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_16076,c_6320,c_16076]) ).
cnf(c_16122,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK15(sK17,sK19),sK17)
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(resolution,[status(thm)],[c_1913,c_5732]) ).
cnf(c_16123,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| apply(sK19,sK13(sK17,sK19),sK14(sK17,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_16122,c_1902,c_1957,c_1968,c_6469,c_16122]) ).
cnf(c_16141,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK14(sK17,sK19),sK17)
| ~ member(sK13(sK17,sK19),sK17)
| apply(sK19,sK14(sK17,sK19),sK13(sK17,sK19)) ),
inference(resolution,[status(thm)],[c_16123,c_5684]) ).
cnf(c_16698,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_4435]) ).
cnf(c_21602,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_21608,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_1254,c_116]) ).
cnf(c_21617,plain,
( ~ member(sK4(sK16,sK18,X0),sK18)
| ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(superposition,[status(thm)],[c_1254,c_1224]) ).
cnf(c_21618,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_21608,c_4195,c_5503]) ).
cnf(c_21624,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(superposition,[status(thm)],[c_1254,c_21618]) ).
cnf(c_21625,plain,
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_21617,c_1245,c_4147]) ).
cnf(c_21632,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X0) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_21625]) ).
cnf(c_21640,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X0) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_21632,c_5037]) ).
cnf(c_21653,plain,
( ~ apply(sK16,X0,sK20(X1,X2))
| ~ apply(sK19,X1,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK17)
| apply(sK19,X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21602,c_119]) ).
cnf(c_21654,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X1) ),
inference(superposition,[status(thm)],[c_117,c_21653]) ).
cnf(c_21698,plain,
( ~ member(X0,sK17)
| sK4(sK16,sK18,X0) = sK20(X0,X0) ),
inference(superposition,[status(thm)],[c_21624,c_21640]) ).
cnf(c_21725,plain,
member(sK12(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_1693,c_4842,c_6997]) ).
cnf(c_21727,plain,
sK20(sK12(sK19,sK17),sK12(sK19,sK17)) = sK4(sK16,sK18,sK12(sK19,sK17)),
inference(superposition,[status(thm)],[c_21725,c_21698]) ).
cnf(c_21756,plain,
( ~ apply(sK19,sK12(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| apply(sK16,sK12(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17))) ),
inference(superposition,[status(thm)],[c_21727,c_118]) ).
cnf(c_21758,plain,
( ~ apply(sK19,sK12(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18) ),
inference(superposition,[status(thm)],[c_21727,c_119]) ).
cnf(c_21761,plain,
( ~ apply(sK19,sK12(sK19,sK17),sK12(sK19,sK17))
| member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21758,c_21725]) ).
cnf(c_21762,plain,
( ~ apply(sK19,sK12(sK19,sK17),sK12(sK19,sK17))
| apply(sK16,sK12(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21756,c_21725]) ).
cnf(c_21782,plain,
( ~ member(sK12(sK19,sK17),sK17)
| member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18) ),
inference(superposition,[status(thm)],[c_21624,c_21761]) ).
cnf(c_21783,plain,
member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_21782,c_21725]) ).
cnf(c_21788,plain,
apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_1869,c_6320,c_16076]) ).
cnf(c_21793,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK19,sK12(sK19,sK17),sK12(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_21788,c_21654]) ).
cnf(c_21796,plain,
apply(sK19,sK12(sK19,sK17),sK12(sK19,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_21793,c_7646,c_21725]) ).
cnf(c_21847,plain,
~ apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_1957,c_1891,c_3929,c_3928,c_7009,c_7336,c_7402,c_16141,c_16698]) ).
cnf(c_96771,plain,
member(sK12(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_1693,c_6998]) ).
cnf(c_139171,plain,
( ~ apply(sK16,sK10(sK19,sK17),X0)
| ~ apply(sK16,sK12(sK19,sK17),X0)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK12(sK19,sK17),sK17)
| ~ member(X0,sK18)
| apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_139668,plain,
( ~ apply(sK16,sK10(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17)))
| ~ apply(sK16,sK12(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17)))
| ~ member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18)
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK12(sK19,sK17),sK17)
| apply(sK19,sK10(sK19,sK17),sK12(sK19,sK17)) ),
inference(instantiation,[status(thm)],[c_139171]) ).
cnf(c_256087,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_1254,c_116]) ).
cnf(c_256095,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK18)
| sK20(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_118,c_1224]) ).
cnf(c_256096,plain,
( ~ member(sK4(sK16,sK18,X0),sK18)
| ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(superposition,[status(thm)],[c_1254,c_1224]) ).
cnf(c_256097,plain,
( ~ apply(sK16,X0,sK4(sK16,sK18,X1))
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| apply(sK19,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_256087,c_7535]) ).
cnf(c_256103,plain,
( ~ member(X0,sK17)
| apply(sK19,X0,X0) ),
inference(superposition,[status(thm)],[c_1254,c_256097]) ).
cnf(c_256104,plain,
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK4(sK16,sK18,X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_256096,c_1245,c_4147]) ).
cnf(c_256110,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X1) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_256104]) ).
cnf(c_256113,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK4(sK16,sK18,X1) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_256110,c_5030]) ).
cnf(c_256184,plain,
( ~ apply(sK19,X0,X1)
| ~ apply(sK16,X0,X2)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| ~ member(X2,sK18)
| sK20(X0,X1) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_256095,c_4250]) ).
cnf(c_256202,plain,
( ~ apply(sK16,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK18)
| sK20(X0,X0) = X1 ),
inference(superposition,[status(thm)],[c_256103,c_256184]) ).
cnf(c_256213,plain,
member(sK10(sK19,sK17),sK17),
inference(global_subsumption_just,[status(thm)],[c_1517,c_6939]) ).
cnf(c_256216,plain,
apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_1781,c_14467]) ).
cnf(c_256223,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| sK20(sK10(sK19,sK17),sK11(sK19,sK17)) = sK4(sK16,sK18,sK11(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_256216,c_256113]) ).
cnf(c_256226,plain,
sK20(sK10(sK19,sK17),sK11(sK19,sK17)) = sK4(sK16,sK18,sK11(sK19,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_256223,c_7646,c_256213]) ).
cnf(c_256230,plain,
apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17)),
inference(global_subsumption_just,[status(thm)],[c_1869,c_16077]) ).
cnf(c_256237,plain,
( ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| sK20(sK11(sK19,sK17),sK12(sK19,sK17)) = sK4(sK16,sK18,sK12(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_256230,c_256113]) ).
cnf(c_256239,plain,
sK20(sK11(sK19,sK17),sK12(sK19,sK17)) = sK4(sK16,sK18,sK12(sK19,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_256237,c_7646,c_96771]) ).
cnf(c_256263,plain,
( ~ apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK11(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17))) ),
inference(superposition,[status(thm)],[c_256239,c_118]) ).
cnf(c_256265,plain,
( ~ apply(sK19,sK11(sK19,sK17),sK12(sK19,sK17))
| ~ member(sK12(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18) ),
inference(superposition,[status(thm)],[c_256239,c_119]) ).
cnf(c_256268,plain,
member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_256265,c_7646,c_96771,c_256230]) ).
cnf(c_256270,plain,
apply(sK16,sK11(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17))),
inference(forward_subsumption_resolution,[status(thm)],[c_256263,c_7646,c_96771,c_256230]) ).
cnf(c_256304,plain,
( ~ member(sK4(sK16,sK18,sK12(sK19,sK17)),sK18)
| ~ member(sK11(sK19,sK17),sK17)
| sK4(sK16,sK18,sK12(sK19,sK17)) = sK4(sK16,sK18,sK11(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_256270,c_256104]) ).
cnf(c_256308,plain,
sK4(sK16,sK18,sK12(sK19,sK17)) = sK4(sK16,sK18,sK11(sK19,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_256304,c_7646,c_256268]) ).
cnf(c_256372,plain,
( ~ member(sK20(X0,X1),sK18)
| ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK20(X0,X0) = sK20(X0,X1) ),
inference(superposition,[status(thm)],[c_118,c_256202]) ).
cnf(c_256395,plain,
( ~ apply(sK19,X0,X1)
| ~ member(X0,sK17)
| ~ member(X1,sK17)
| sK20(X0,X0) = sK20(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_256372,c_119,c_6105]) ).
cnf(c_256401,plain,
( ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| sK20(sK10(sK19,sK17),sK10(sK19,sK17)) = sK20(sK10(sK19,sK17),sK11(sK19,sK17)) ),
inference(superposition,[status(thm)],[c_256216,c_256395]) ).
cnf(c_256411,plain,
sK20(sK10(sK19,sK17),sK10(sK19,sK17)) = sK20(sK10(sK19,sK17),sK11(sK19,sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_256401,c_7646,c_256213]) ).
cnf(c_257049,plain,
sK20(sK10(sK19,sK17),sK11(sK19,sK17)) = sK4(sK16,sK18,sK12(sK19,sK17)),
inference(light_normalisation,[status(thm)],[c_256226,c_256411,c_256308]) ).
cnf(c_257054,plain,
( ~ apply(sK19,sK10(sK19,sK17),sK11(sK19,sK17))
| ~ member(sK10(sK19,sK17),sK17)
| ~ member(sK11(sK19,sK17),sK17)
| apply(sK16,sK10(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17))) ),
inference(superposition,[status(thm)],[c_257049,c_118]) ).
cnf(c_257059,plain,
apply(sK16,sK10(sK19,sK17),sK4(sK16,sK18,sK12(sK19,sK17))),
inference(forward_subsumption_resolution,[status(thm)],[c_257054,c_7646,c_256213,c_256216]) ).
cnf(c_257063,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_257059,c_139668,c_21847,c_21796,c_21783,c_21762,c_6998,c_6939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET771+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:57:01 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 157.37/21.37 % SZS status Started for theBenchmark.p
% 157.37/21.37 % SZS status Theorem for theBenchmark.p
% 157.37/21.37
% 157.37/21.37 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 157.37/21.37
% 157.37/21.37 ------ iProver source info
% 157.37/21.37
% 157.37/21.37 git: date: 2024-05-02 19:28:25 +0000
% 157.37/21.37 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 157.37/21.37 git: non_committed_changes: false
% 157.37/21.37
% 157.37/21.37 ------ Parsing...
% 157.37/21.37 ------ Clausification by vclausify_rel & Parsing by iProver...
% 157.37/21.37
% 157.37/21.37 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 157.37/21.37
% 157.37/21.37 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 157.37/21.37
% 157.37/21.37 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 157.37/21.37 ------ Proving...
% 157.37/21.37 ------ Problem Properties
% 157.37/21.37
% 157.37/21.37
% 157.37/21.37 clauses 104
% 157.37/21.37 conjectures 4
% 157.37/21.37 EPR 4
% 157.37/21.37 Horn 61
% 157.37/21.37 unary 4
% 157.37/21.37 binary 29
% 157.37/21.37 lits 294
% 157.37/21.37 lits eq 4
% 157.37/21.37 fd_pure 0
% 157.37/21.37 fd_pseudo 0
% 157.37/21.37 fd_cond 0
% 157.37/21.37 fd_pseudo_cond 3
% 157.37/21.37 AC symbols 0
% 157.37/21.37
% 157.37/21.37 ------ Input Options Time Limit: Unbounded
% 157.37/21.37
% 157.37/21.37
% 157.37/21.37 ------
% 157.37/21.37 Current options:
% 157.37/21.37 ------
% 157.37/21.37
% 157.37/21.37
% 157.37/21.37
% 157.37/21.37
% 157.37/21.37 ------ Proving...
% 157.37/21.37
% 157.37/21.37
% 157.37/21.37 % SZS status Theorem for theBenchmark.p
% 157.37/21.37
% 157.37/21.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.37/21.38
% 157.37/21.39
%------------------------------------------------------------------------------