TSTP Solution File: SET772+4 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 15:09:35 EDT 2023
% Result : Theorem 230.97s 30.86s
% Output : CNFRefutation 230.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f13,axiom,
! [X0,X3] :
( partition(X0,X3)
<=> ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( ? [X5] :
( member(X5,X4)
& member(X5,X2) )
=> X2 = X4 ) )
& ! [X2] :
( member(X2,X3)
=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f14,axiom,
! [X0,X6] :
( equivalence(X6,X0)
<=> ( ! [X2,X4,X5] :
( ( member(X5,X0)
& member(X4,X0)
& member(X2,X0) )
=> ( ( apply(X6,X4,X5)
& apply(X6,X2,X4) )
=> apply(X6,X2,X5) ) )
& ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence) ).
fof(f17,conjecture,
! [X0,X3,X6] :
( partition(X0,X3)
=> ( ! [X2,X4] :
( ( member(X4,X3)
& member(X2,X3) )
=> ( apply(X6,X2,X4)
<=> ? [X5] :
( member(X4,X5)
& member(X2,X5)
& member(X5,X0) ) ) )
=> equivalence(X6,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII08) ).
fof(f18,negated_conjecture,
~ ! [X0,X3,X6] :
( partition(X0,X3)
=> ( ! [X2,X4] :
( ( member(X4,X3)
& member(X2,X3) )
=> ( apply(X6,X2,X4)
<=> ? [X5] :
( member(X4,X5)
& member(X2,X5)
& member(X5,X0) ) ) )
=> equivalence(X6,X3) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f28,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f29,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,[],[f14]) ).
fof(f32,plain,
~ ! [X0,X1,X2] :
( partition(X0,X1)
=> ( ! [X3,X4] :
( ( member(X4,X1)
& member(X3,X1) )
=> ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X4,X5)
& member(X3,X5)
& member(X5,X0) ) ) )
=> equivalence(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f33,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,[],[f29]) ).
fof(f34,plain,
! [X0,X1] :
( partition(X0,X1)
=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f28]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5] :
( ? [X6] :
( member(X5,X6)
& member(X6,X0) )
| ~ member(X5,X1) )
& ! [X7] :
( subset(X7,X1)
| ~ member(X7,X0) ) )
| ~ partition(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5] :
( ? [X6] :
( member(X5,X6)
& member(X6,X0) )
| ~ member(X5,X1) )
& ! [X7] :
( subset(X7,X1)
| ~ member(X7,X0) ) )
| ~ partition(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f39,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,[],[f33]) ).
fof(f40,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,[],[f39]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X4,X5)
& member(X3,X5)
& member(X5,X0) ) )
| ~ member(X4,X1)
| ~ member(X3,X1) )
& partition(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( apply(X2,X3,X4)
<=> ? [X5] :
( member(X4,X5)
& member(X3,X5)
& member(X5,X0) ) )
| ~ member(X4,X1)
| ~ member(X3,X1) )
& partition(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f43,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(f44,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,[],[f40,f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f46,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f46,f47]) ).
fof(f67,plain,
! [X0,X5] :
( ? [X6] :
( member(X5,X6)
& member(X6,X0) )
=> ( member(X5,sK4(X0,X5))
& member(sK4(X0,X5),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( X2 = X3
| ! [X4] :
( ~ member(X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5] :
( ( member(X5,sK4(X0,X5))
& member(sK4(X0,X5),X0) )
| ~ member(X5,X1) )
& ! [X7] :
( subset(X7,X1)
| ~ member(X7,X0) ) )
| ~ partition(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f38,f67]) ).
fof(f69,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,[],[f43]) ).
fof(f70,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,[],[f69]) ).
fof(f71,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,sK5(X0,X1),sK7(X0,X1))
& apply(X0,sK6(X0,X1),sK7(X0,X1))
& apply(X0,sK5(X0,X1),sK6(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK6(X0,X1),X1)
& member(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
& apply(X0,sK6(X0,X1),sK7(X0,X1))
& apply(X0,sK5(X0,X1),sK6(X0,X1))
& member(sK7(X0,X1),X1)
& member(sK6(X0,X1),X1)
& member(sK5(X0,X1),X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f70,f71]) ).
fof(f73,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,[],[f44]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ apply(X1,X3,X2)
& apply(X1,X2,X3)
& member(X3,X0)
& member(X2,X0) )
=> ( ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
& apply(X1,sK8(X0,X1),sK9(X0,X1))
& member(sK9(X0,X1),X0)
& member(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) )
=> ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ( ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
& apply(X1,sK8(X0,X1),sK9(X0,X1))
& member(sK9(X0,X1),X0)
& member(sK8(X0,X1),X0) )
| ( ~ apply(X1,sK10(X0,X1),sK10(X0,X1))
& member(sK10(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f73,f75,f74]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ! [X5] :
( ~ member(X4,X5)
| ~ member(X3,X5)
| ~ member(X5,X0) ) )
& ( ? [X5] :
( member(X4,X5)
& member(X3,X5)
& member(X5,X0) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X4,X1)
| ~ member(X3,X1) )
& partition(X0,X1) ),
inference(nnf_transformation,[],[f42]) ).
fof(f80,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ! [X5] :
( ~ member(X4,X5)
| ~ member(X3,X5)
| ~ member(X5,X0) ) )
& ( ? [X6] :
( member(X4,X6)
& member(X3,X6)
& member(X6,X0) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X4,X1)
| ~ member(X3,X1) )
& partition(X0,X1) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
( ? [X0,X1,X2] :
( ~ equivalence(X2,X1)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ! [X5] :
( ~ member(X4,X5)
| ~ member(X3,X5)
| ~ member(X5,X0) ) )
& ( ? [X6] :
( member(X4,X6)
& member(X3,X6)
& member(X6,X0) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X4,X1)
| ~ member(X3,X1) )
& partition(X0,X1) )
=> ( ~ equivalence(sK13,sK12)
& ! [X4,X3] :
( ( ( apply(sK13,X3,X4)
| ! [X5] :
( ~ member(X4,X5)
| ~ member(X3,X5)
| ~ member(X5,sK11) ) )
& ( ? [X6] :
( member(X4,X6)
& member(X3,X6)
& member(X6,sK11) )
| ~ apply(sK13,X3,X4) ) )
| ~ member(X4,sK12)
| ~ member(X3,sK12) )
& partition(sK11,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X3,X4] :
( ? [X6] :
( member(X4,X6)
& member(X3,X6)
& member(X6,sK11) )
=> ( member(X4,sK14(X3,X4))
& member(X3,sK14(X3,X4))
& member(sK14(X3,X4),sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ~ equivalence(sK13,sK12)
& ! [X3,X4] :
( ( ( apply(sK13,X3,X4)
| ! [X5] :
( ~ member(X4,X5)
| ~ member(X3,X5)
| ~ member(X5,sK11) ) )
& ( ( member(X4,sK14(X3,X4))
& member(X3,sK14(X3,X4))
& member(sK14(X3,X4),sK11) )
| ~ apply(sK13,X3,X4) ) )
| ~ member(X4,sK12)
| ~ member(X3,sK12) )
& partition(sK11,sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f80,f82,f81]) ).
fof(f84,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f110,plain,
! [X0,X1,X7] :
( subset(X7,X1)
| ~ member(X7,X0)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
! [X0,X1,X5] :
( member(sK4(X0,X5),X0)
| ~ member(X5,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
! [X0,X1,X5] :
( member(X5,sK4(X0,X5))
| ~ member(X5,X1)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( X2 = X3
| ~ member(X4,X3)
| ~ member(X4,X2)
| ~ member(X3,X0)
| ~ member(X2,X0)
| ~ partition(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f114,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f115,plain,
! [X0,X1] :
( member(sK6(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0,X1] :
( member(sK7(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
! [X0,X1] :
( apply(X0,sK5(X0,X1),sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f118,plain,
! [X0,X1] :
( apply(X0,sK6(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f119,plain,
! [X0,X1] :
( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f120,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK8(X0,X1),X0)
| member(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f121,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK8(X0,X1),X0)
| ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f122,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK9(X0,X1),X0)
| member(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f123,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK9(X0,X1),X0)
| ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f124,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| apply(X1,sK8(X0,X1),sK9(X0,X1))
| member(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f125,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| apply(X1,sK8(X0,X1),sK9(X0,X1))
| ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
| member(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f127,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK9(X0,X1),sK8(X0,X1))
| ~ apply(X1,sK10(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f131,plain,
partition(sK11,sK12),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X3,X4] :
( member(sK14(X3,X4),sK11)
| ~ apply(sK13,X3,X4)
| ~ member(X4,sK12)
| ~ member(X3,sK12) ),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
! [X3,X4] :
( member(X3,sK14(X3,X4))
| ~ apply(sK13,X3,X4)
| ~ member(X4,sK12)
| ~ member(X3,sK12) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X3,X4] :
( member(X4,sK14(X3,X4))
| ~ apply(sK13,X3,X4)
| ~ member(X4,sK12)
| ~ member(X3,sK12) ),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
! [X3,X4,X5] :
( apply(sK13,X3,X4)
| ~ member(X4,X5)
| ~ member(X3,X5)
| ~ member(X5,sK11)
| ~ member(X4,sK12)
| ~ member(X3,sK12) ),
inference(cnf_transformation,[],[f83]) ).
fof(f136,plain,
~ equivalence(sK13,sK12),
inference(cnf_transformation,[],[f83]) ).
cnf(c_51,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_75,plain,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ member(X3,X0)
| ~ member(X3,X2)
| ~ partition(X1,X4)
| X0 = X2 ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_76,plain,
( ~ member(X0,X1)
| ~ partition(X2,X1)
| member(X0,sK4(X2,X0)) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_77,plain,
( ~ member(X0,X1)
| ~ partition(X2,X1)
| member(sK4(X2,X0),X2) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_78,plain,
( ~ member(X0,X1)
| ~ partition(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_79,plain,
( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_80,plain,
( ~ sP0(X0,X1)
| apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_81,plain,
( ~ sP0(X0,X1)
| apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_82,plain,
( ~ sP0(X0,X1)
| member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_83,plain,
( ~ sP0(X0,X1)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_84,plain,
( ~ sP0(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_85,plain,
( ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
| ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_86,plain,
( ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
| member(sK10(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_87,plain,
( ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| apply(X0,sK8(X1,X0),sK9(X1,X0))
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_88,plain,
( apply(X0,sK8(X1,X0),sK9(X1,X0))
| member(sK10(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_89,plain,
( ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| member(sK9(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_90,plain,
( member(sK9(X0,X1),X0)
| member(sK10(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_91,plain,
( ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| member(sK8(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_92,plain,
( member(sK8(X0,X1),X0)
| member(sK10(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_96,negated_conjecture,
~ equivalence(sK13,sK12),
inference(cnf_transformation,[],[f136]) ).
cnf(c_97,negated_conjecture,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK11)
| ~ member(X2,sK12)
| apply(sK13,X0,X2) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_98,negated_conjecture,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| member(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_99,negated_conjecture,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| member(X0,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_100,negated_conjecture,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| member(sK14(X0,X1),sK11) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_101,negated_conjecture,
partition(sK11,sK12),
inference(cnf_transformation,[],[f131]) ).
cnf(c_192,plain,
( ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ sP0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_196,plain,
( ~ sP0(X0,X1)
| apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_198,plain,
( ~ sP0(X0,X1)
| apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_81]) ).
cnf(c_200,plain,
( ~ sP0(X0,X1)
| member(sK7(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
cnf(c_202,plain,
( ~ sP0(X0,X1)
| member(sK6(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
cnf(c_204,plain,
( ~ sP0(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
cnf(c_606,plain,
( X0 != sK11
| X1 != sK12
| ~ member(X2,X0)
| ~ member(X3,X0)
| ~ member(X4,X2)
| ~ member(X4,X3)
| X2 = X3 ),
inference(resolution_lifted,[status(thm)],[c_75,c_101]) ).
cnf(c_607,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ member(X1,sK11)
| ~ member(X2,sK11)
| X1 = X2 ),
inference(unflattening,[status(thm)],[c_606]) ).
cnf(c_624,plain,
( X0 != sK12
| X1 != sK11
| ~ member(X2,X0)
| member(sK4(X1,X2),X1) ),
inference(resolution_lifted,[status(thm)],[c_77,c_101]) ).
cnf(c_625,plain,
( ~ member(X0,sK12)
| member(sK4(sK11,X0),sK11) ),
inference(unflattening,[status(thm)],[c_624]) ).
cnf(c_633,plain,
( X0 != sK12
| X1 != sK11
| ~ member(X2,X0)
| member(X2,sK4(X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_76,c_101]) ).
cnf(c_634,plain,
( ~ member(X0,sK12)
| member(X0,sK4(sK11,X0)) ),
inference(unflattening,[status(thm)],[c_633]) ).
cnf(c_642,plain,
( X0 != sK11
| X1 != sK12
| ~ member(X2,X0)
| subset(X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_78,c_101]) ).
cnf(c_643,plain,
( ~ member(X0,sK11)
| subset(X0,sK12) ),
inference(unflattening,[status(thm)],[c_642]) ).
cnf(c_724,plain,
( X0 != X1
| X2 != sK12
| ~ member(X3,X0)
| ~ member(X1,sK11)
| member(X3,X2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_643]) ).
cnf(c_725,plain,
( ~ member(X0,X1)
| ~ member(X1,sK11)
| member(X0,sK12) ),
inference(unflattening,[status(thm)],[c_724]) ).
cnf(c_753,plain,
( ~ member(X0,X1)
| ~ member(X2,X1)
| ~ member(X1,sK11)
| ~ member(X2,sK12)
| apply(sK13,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_97,c_725]) ).
cnf(c_754,plain,
( X0 != sK12
| X1 != sK13
| member(sK8(X0,X1),X0)
| member(sK10(X0,X1),X0)
| sP0(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_92,c_96]) ).
cnf(c_755,plain,
( member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12)
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_754]) ).
cnf(c_765,plain,
( X0 != sK12
| X1 != sK13
| member(sK9(X0,X1),X0)
| member(sK10(X0,X1),X0)
| sP0(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_90,c_96]) ).
cnf(c_766,plain,
( member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12)
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_765]) ).
cnf(c_776,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| member(sK8(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_91,c_96]) ).
cnf(c_777,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK8(sK12,sK13),sK12)
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_776]) ).
cnf(c_787,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| member(sK9(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_89,c_96]) ).
cnf(c_788,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK9(sK12,sK13),sK12)
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_787]) ).
cnf(c_798,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK8(X1,X0),sK9(X1,X0))
| member(sK10(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_88,c_96]) ).
cnf(c_799,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12)
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_798]) ).
cnf(c_809,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| apply(X0,sK8(X1,X0),sK9(X1,X0))
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_87,c_96]) ).
cnf(c_810,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_809]) ).
cnf(c_820,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
| member(sK10(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_86,c_96]) ).
cnf(c_821,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12)
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_820]) ).
cnf(c_831,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK9(X1,X0),sK8(X1,X0))
| ~ apply(X0,sK10(X1,X0),sK10(X1,X0))
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_85,c_96]) ).
cnf(c_832,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| sP0(sK13,sK12) ),
inference(unflattening,[status(thm)],[c_831]) ).
cnf(c_866,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK5(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_204,c_832]) ).
cnf(c_867,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK5(sK13,sK12),sK12) ),
inference(unflattening,[status(thm)],[c_866]) ).
cnf(c_877,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK5(X0,X1),X1)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_204,c_821]) ).
cnf(c_878,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_877]) ).
cnf(c_888,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_204,c_810]) ).
cnf(c_889,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(sK13,sK12),sK12) ),
inference(unflattening,[status(thm)],[c_888]) ).
cnf(c_899,plain,
( X0 != sK13
| X1 != sK12
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(X0,X1),X1)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_204,c_799]) ).
cnf(c_900,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_899]) ).
cnf(c_910,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK5(X0,X1),X1)
| member(sK9(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_204,c_788]) ).
cnf(c_911,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK5(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_910]) ).
cnf(c_921,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK5(X0,X1),X1)
| member(sK8(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_204,c_777]) ).
cnf(c_922,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK5(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_921]) ).
cnf(c_932,plain,
( X0 != sK13
| X1 != sK12
| member(sK5(X0,X1),X1)
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_204,c_766]) ).
cnf(c_933,plain,
( member(sK5(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_932]) ).
cnf(c_943,plain,
( X0 != sK13
| X1 != sK12
| member(sK5(X0,X1),X1)
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_204,c_755]) ).
cnf(c_944,plain,
( member(sK5(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_943]) ).
cnf(c_954,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK6(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_202,c_832]) ).
cnf(c_955,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK6(sK13,sK12),sK12) ),
inference(unflattening,[status(thm)],[c_954]) ).
cnf(c_965,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK6(X0,X1),X1)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_202,c_821]) ).
cnf(c_966,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_965]) ).
cnf(c_976,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_202,c_810]) ).
cnf(c_977,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(sK13,sK12),sK12) ),
inference(unflattening,[status(thm)],[c_976]) ).
cnf(c_987,plain,
( X0 != sK13
| X1 != sK12
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(X0,X1),X1)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_202,c_799]) ).
cnf(c_988,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_987]) ).
cnf(c_998,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK6(X0,X1),X1)
| member(sK9(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_202,c_788]) ).
cnf(c_999,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK6(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_998]) ).
cnf(c_1009,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK6(X0,X1),X1)
| member(sK8(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_202,c_777]) ).
cnf(c_1010,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK6(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1009]) ).
cnf(c_1020,plain,
( X0 != sK13
| X1 != sK12
| member(sK6(X0,X1),X1)
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_202,c_766]) ).
cnf(c_1021,plain,
( member(sK6(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1020]) ).
cnf(c_1031,plain,
( X0 != sK13
| X1 != sK12
| member(sK6(X0,X1),X1)
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_202,c_755]) ).
cnf(c_1032,plain,
( member(sK6(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1031]) ).
cnf(c_1042,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK7(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_200,c_832]) ).
cnf(c_1043,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK7(sK13,sK12),sK12) ),
inference(unflattening,[status(thm)],[c_1042]) ).
cnf(c_1053,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK7(X0,X1),X1)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_200,c_821]) ).
cnf(c_1054,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK7(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1053]) ).
cnf(c_1064,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_200,c_810]) ).
cnf(c_1065,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(sK13,sK12),sK12) ),
inference(unflattening,[status(thm)],[c_1064]) ).
cnf(c_1075,plain,
( X0 != sK13
| X1 != sK12
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(X0,X1),X1)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_200,c_799]) ).
cnf(c_1076,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1075]) ).
cnf(c_1086,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK7(X0,X1),X1)
| member(sK9(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_200,c_788]) ).
cnf(c_1087,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK7(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1086]) ).
cnf(c_1097,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK7(X0,X1),X1)
| member(sK8(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_200,c_777]) ).
cnf(c_1098,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK7(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1097]) ).
cnf(c_1108,plain,
( X0 != sK13
| X1 != sK12
| member(sK7(X0,X1),X1)
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_200,c_766]) ).
cnf(c_1109,plain,
( member(sK7(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1108]) ).
cnf(c_1119,plain,
( X0 != sK13
| X1 != sK12
| member(sK7(X0,X1),X1)
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_200,c_755]) ).
cnf(c_1120,plain,
( member(sK7(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1119]) ).
cnf(c_1130,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_198,c_832]) ).
cnf(c_1131,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(unflattening,[status(thm)],[c_1130]) ).
cnf(c_1141,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_198,c_821]) ).
cnf(c_1142,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1141]) ).
cnf(c_1152,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(resolution_lifted,[status(thm)],[c_198,c_810]) ).
cnf(c_1153,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(unflattening,[status(thm)],[c_1152]) ).
cnf(c_1163,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_198,c_799]) ).
cnf(c_1164,plain,
( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1163]) ).
cnf(c_1174,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK9(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_198,c_788]) ).
cnf(c_1175,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK9(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1174]) ).
cnf(c_1185,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK8(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_198,c_777]) ).
cnf(c_1186,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK8(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1185]) ).
cnf(c_1196,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_198,c_766]) ).
cnf(c_1197,plain,
( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1196]) ).
cnf(c_1207,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_198,c_755]) ).
cnf(c_1208,plain,
( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1207]) ).
cnf(c_1218,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK6(X0,X1),sK7(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_196,c_832]) ).
cnf(c_1219,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(unflattening,[status(thm)],[c_1218]) ).
cnf(c_1229,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_196,c_821]) ).
cnf(c_1230,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1229]) ).
cnf(c_1240,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(resolution_lifted,[status(thm)],[c_196,c_810]) ).
cnf(c_1241,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(unflattening,[status(thm)],[c_1240]) ).
cnf(c_1251,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_196,c_799]) ).
cnf(c_1252,plain,
( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1251]) ).
cnf(c_1262,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK9(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_196,c_788]) ).
cnf(c_1263,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK9(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1262]) ).
cnf(c_1273,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK8(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_196,c_777]) ).
cnf(c_1274,plain,
( ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK8(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1273]) ).
cnf(c_1284,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_196,c_766]) ).
cnf(c_1285,plain,
( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1284]) ).
cnf(c_1295,plain,
( X0 != sK13
| X1 != sK12
| apply(X0,sK6(X0,X1),sK7(X0,X1))
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_196,c_755]) ).
cnf(c_1296,plain,
( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1295]) ).
cnf(c_1306,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13)) ),
inference(resolution_lifted,[status(thm)],[c_192,c_832]) ).
cnf(c_1307,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13)) ),
inference(unflattening,[status(thm)],[c_1306]) ).
cnf(c_1317,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_192,c_821]) ).
cnf(c_1318,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1317]) ).
cnf(c_1328,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(resolution_lifted,[status(thm)],[c_192,c_810]) ).
cnf(c_1329,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(unflattening,[status(thm)],[c_1328]) ).
cnf(c_1339,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_192,c_799]) ).
cnf(c_1340,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1339]) ).
cnf(c_1350,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK9(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_192,c_788]) ).
cnf(c_1351,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK9(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1350]) ).
cnf(c_1361,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK8(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_192,c_777]) ).
cnf(c_1362,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK10(sK12,sK13),sK10(sK12,sK13))
| member(sK8(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1361]) ).
cnf(c_1372,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_192,c_766]) ).
cnf(c_1373,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| member(sK9(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1372]) ).
cnf(c_1383,plain,
( X0 != sK13
| X1 != sK12
| ~ apply(X0,sK5(X0,X1),sK7(X0,X1))
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution_lifted,[status(thm)],[c_192,c_755]) ).
cnf(c_1384,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| member(sK8(sK12,sK13),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(unflattening,[status(thm)],[c_1383]) ).
cnf(c_3141,plain,
( ~ member(X0,sK14(X1,X2))
| ~ member(sK14(X1,X2),sK11)
| ~ apply(sK13,X1,X2)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| ~ member(X2,sK12)
| apply(sK13,X2,X0) ),
inference(superposition,[status(thm)],[c_98,c_753]) ).
cnf(c_3142,plain,
( ~ member(sK14(X0,X1),sK11)
| ~ apply(sK13,X0,X1)
| ~ member(X1,X2)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| ~ member(X2,sK11)
| sK14(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_98,c_607]) ).
cnf(c_3144,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X1,X2)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| ~ member(X2,sK11)
| sK14(X0,X1) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_3142,c_100,c_3142]) ).
cnf(c_3151,plain,
( ~ member(sK14(X0,X1),sK11)
| ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X1,X1) ),
inference(superposition,[status(thm)],[c_98,c_3141]) ).
cnf(c_3152,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3151,c_100,c_3151]) ).
cnf(c_3234,plain,
( ~ member(X0,sK14(X1,X2))
| ~ member(sK14(X1,X2),sK11)
| ~ apply(sK13,X1,X2)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| ~ member(X2,sK12)
| apply(sK13,X1,X0) ),
inference(superposition,[status(thm)],[c_99,c_753]) ).
cnf(c_3235,plain,
( ~ member(sK14(X0,X1),sK11)
| ~ apply(sK13,X0,X1)
| ~ member(X0,X2)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| ~ member(X2,sK11)
| sK14(X0,X1) = X2 ),
inference(superposition,[status(thm)],[c_99,c_607]) ).
cnf(c_3236,plain,
( ~ member(sK14(X0,X1),sK11)
| ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X1,X0) ),
inference(superposition,[status(thm)],[c_99,c_3141]) ).
cnf(c_3241,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3236,c_100,c_3236]) ).
cnf(c_3243,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X0,X2)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| ~ member(X2,sK11)
| sK14(X0,X1) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_3235,c_100,c_3235]) ).
cnf(c_3287,plain,
( ~ member(sK14(X0,X1),sK11)
| ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X0,X0) ),
inference(superposition,[status(thm)],[c_99,c_3234]) ).
cnf(c_3288,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3287,c_100,c_3287]) ).
cnf(c_3290,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_1164,c_3288]) ).
cnf(c_3300,plain,
( apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3290,c_900,c_988,c_3290]) ).
cnf(c_3303,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3300,c_3144]) ).
cnf(c_3310,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3303,c_900,c_3303]) ).
cnf(c_3313,plain,
( ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_99,c_3310]) ).
cnf(c_3315,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3313,c_900,c_3313]) ).
cnf(c_3316,plain,
( ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_3315]) ).
cnf(c_3387,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_1164,c_3241]) ).
cnf(c_3400,plain,
( apply(sK13,sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3387,c_900,c_988,c_3387]) ).
cnf(c_3471,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3400,c_3144]) ).
cnf(c_3480,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3471,c_900,c_988,c_3471]) ).
cnf(c_3534,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_3316]) ).
cnf(c_3538,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3534,c_900,c_3534]) ).
cnf(c_3719,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_1164,c_3538]) ).
cnf(c_3721,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3719,c_988,c_3719]) ).
cnf(c_3723,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3721,c_3241]) ).
cnf(c_3751,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3723,c_966]) ).
cnf(c_3752,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3723,c_878]) ).
cnf(c_3754,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3723,c_1142]) ).
cnf(c_3756,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3752,c_878,c_933,c_944,c_3723]) ).
cnf(c_3758,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3751,c_1021,c_1032,c_3751]) ).
cnf(c_3762,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3754,c_1197,c_1208,c_3754]) ).
cnf(c_3792,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3762,c_3243]) ).
cnf(c_3793,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3762,c_3288]) ).
cnf(c_3801,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3793,c_3756,c_3758,c_3793]) ).
cnf(c_3809,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3792,c_3756,c_3758,c_3792]) ).
cnf(c_3879,plain,
( ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_98,c_3809]) ).
cnf(c_3886,plain,
( ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3879,c_3756,c_3879]) ).
cnf(c_3887,plain,
( ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_3886]) ).
cnf(c_3915,plain,
( ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_3887]) ).
cnf(c_3917,plain,
( ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_3915,c_3756,c_3915]) ).
cnf(c_4297,plain,
( ~ member(X0,sK4(sK11,X1))
| ~ member(X2,sK4(sK11,X1))
| ~ member(X1,sK12)
| ~ member(X2,sK12)
| apply(sK13,X0,X2) ),
inference(resolution,[status(thm)],[c_753,c_625]) ).
cnf(c_4740,plain,
( ~ member(X0,sK14(X1,X2))
| ~ member(X3,sK14(X1,X2))
| ~ apply(sK13,X1,X2)
| ~ member(X1,sK12)
| ~ member(X2,sK12)
| ~ member(X3,sK12)
| apply(sK13,X0,X3) ),
inference(resolution,[status(thm)],[c_100,c_753]) ).
cnf(c_4935,plain,
( ~ member(sK5(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3801,c_3917]) ).
cnf(c_4938,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_4935,c_3756,c_4935]) ).
cnf(c_4954,plain,
( ~ member(X0,sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK10(sK12,sK13),X0) ),
inference(superposition,[status(thm)],[c_4938,c_753]) ).
cnf(c_5006,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_4954,c_867]) ).
cnf(c_5054,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_5006,c_4938,c_5006]) ).
cnf(c_5301,plain,
( ~ member(X0,sK14(X1,X2))
| ~ apply(sK13,X1,X2)
| ~ member(X1,sK12)
| ~ member(X2,sK12)
| apply(sK13,X0,X1) ),
inference(resolution,[status(thm)],[c_4740,c_99]) ).
cnf(c_5546,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X1,sK12)
| apply(sK13,X1,X0) ),
inference(resolution,[status(thm)],[c_5301,c_98]) ).
cnf(c_5835,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution,[status(thm)],[c_5546,c_900]) ).
cnf(c_5870,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution,[status(thm)],[c_988,c_5546]) ).
cnf(c_5998,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK7(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(resolution,[status(thm)],[c_1076,c_5546]) ).
cnf(c_6238,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3723,c_5054]) ).
cnf(c_6239,plain,
( member(sK5(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_6238,c_878,c_933,c_944,c_5835]) ).
cnf(c_6258,plain,
( ~ member(sK12,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6239,c_3480]) ).
cnf(c_6342,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6258,c_3241]) ).
cnf(c_6384,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| member(sK7(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6342,c_1054]) ).
cnf(c_6385,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6342,c_966]) ).
cnf(c_6388,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6342,c_1142]) ).
cnf(c_6392,plain,
( member(sK6(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_6385,c_966,c_1021,c_1032,c_5870]) ).
cnf(c_6394,plain,
( member(sK7(sK13,sK12),sK12)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_6384,c_1054,c_1109,c_1120,c_5998]) ).
cnf(c_6396,plain,
( ~ member(sK12,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_6388,c_1142,c_1197,c_1208,c_6342]) ).
cnf(c_6448,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6396,c_3243]) ).
cnf(c_6468,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_6448,c_878,c_933,c_944,c_5835,c_6392,c_6448]) ).
cnf(c_6483,plain,
( ~ apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK11) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_6632,plain,
( ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK12
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6239,c_6468]) ).
cnf(c_6702,plain,
( ~ member(X0,sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK12
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK10(sK12,sK13),X0) ),
inference(superposition,[status(thm)],[c_6632,c_753]) ).
cnf(c_7004,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK12
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_6702,c_1131]) ).
cnf(c_7064,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK12
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_7004,c_6632,c_7004]) ).
cnf(c_7150,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution,[status(thm)],[c_1164,c_5546]) ).
cnf(c_7159,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(resolution,[status(thm)],[c_1252,c_5546]) ).
cnf(c_7295,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK12
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK12
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6342,c_7064]) ).
cnf(c_7297,plain,
( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7295,c_1142,c_1197,c_1208,c_7150]) ).
cnf(c_7307,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7297,c_3144]) ).
cnf(c_7323,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7307,c_878,c_933,c_944,c_5835,c_6392,c_7307]) ).
cnf(c_7410,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_99,c_7323]) ).
cnf(c_7412,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7410,c_6392,c_7410]) ).
cnf(c_7413,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_7412]) ).
cnf(c_7538,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_7413]) ).
cnf(c_7540,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7538,c_6392,c_7538]) ).
cnf(c_7550,plain,
( ~ member(sK5(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_3400,c_7540]) ).
cnf(c_7551,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7550,c_878,c_933,c_944,c_5835,c_7550]) ).
cnf(c_7570,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7551,c_3241]) ).
cnf(c_7613,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7570,c_1230]) ).
cnf(c_7624,plain,
( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7613,c_1230,c_1285,c_1296,c_7159]) ).
cnf(c_7703,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7624,c_3241]) ).
cnf(c_7704,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7624,c_3243]) ).
cnf(c_7706,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7624,c_3144]) ).
cnf(c_7707,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7624,c_3152]) ).
cnf(c_7712,plain,
( apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7707,c_6392,c_6394,c_7707]) ).
cnf(c_7716,plain,
( apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7703,c_6392,c_6394,c_7703]) ).
cnf(c_7721,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7706,c_6392,c_6394,c_7706]) ).
cnf(c_7724,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7704,c_6392,c_6394,c_7704]) ).
cnf(c_7739,plain,
( ~ member(sK14(X0,sK7(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_98,c_7721]) ).
cnf(c_7740,plain,
( ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_99,c_7721]) ).
cnf(c_7742,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7740,c_6394,c_7740]) ).
cnf(c_7743,plain,
( ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_7742]) ).
cnf(c_7746,plain,
( ~ apply(sK13,X0,sK7(sK13,sK12))
| ~ member(sK14(X0,sK7(sK13,sK12)),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7739,c_6394,c_7739]) ).
cnf(c_7747,plain,
( ~ member(sK14(X0,sK7(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK7(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_7746]) ).
cnf(c_7749,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_7743]) ).
cnf(c_7751,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_7749,c_6394,c_7749]) ).
cnf(c_8069,plain,
( ~ apply(sK13,X0,sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_7747]) ).
cnf(c_8071,plain,
( ~ apply(sK13,X0,sK7(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_8069,c_6394,c_8069]) ).
cnf(c_8210,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_98,c_7724]) ).
cnf(c_8211,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_99,c_7724]) ).
cnf(c_8213,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_8211,c_6392,c_8211]) ).
cnf(c_8214,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_8213]) ).
cnf(c_8217,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_8210,c_6392,c_8210]) ).
cnf(c_8218,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_8217]) ).
cnf(c_8220,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_8214]) ).
cnf(c_8222,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_8220,c_6392,c_8220]) ).
cnf(c_8586,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_8218]) ).
cnf(c_8588,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_8586,c_6392,c_8586]) ).
cnf(c_9295,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK11)
| ~ subset(sK11,X0)
| member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9296,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK11)
| ~ subset(sK11,sK12)
| member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK12) ),
inference(instantiation,[status(thm)],[c_9295]) ).
cnf(c_13734,plain,
( ~ member(sK11,sK11)
| subset(sK11,sK12) ),
inference(instantiation,[status(thm)],[c_643]) ).
cnf(c_14340,plain,
( ~ member(sK7(sK13,sK12),sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7712,c_8071]) ).
cnf(c_14348,plain,
( sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_14340,c_6394,c_14340]) ).
cnf(c_16325,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7716,c_3144]) ).
cnf(c_16346,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_16325,c_6392,c_6394,c_16325]) ).
cnf(c_16384,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_98,c_16346]) ).
cnf(c_16391,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_16384,c_6392,c_16384]) ).
cnf(c_16392,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_16391]) ).
cnf(c_17016,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_16392]) ).
cnf(c_17018,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_17016,c_6392,c_17016]) ).
cnf(c_17021,plain,
( ~ member(sK5(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7297,c_17018]) ).
cnf(c_17039,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_17021,c_6239,c_17021]) ).
cnf(c_17067,plain,
( ~ member(X0,sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK10(sK12,sK13),X0) ),
inference(superposition,[status(thm)],[c_17039,c_753]) ).
cnf(c_17313,plain,
( ~ member(sK10(sK12,sK13),sK12)
| ~ member(X0,sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,X0,sK10(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_17067,c_3241]) ).
cnf(c_17373,plain,
( ~ member(X0,sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,X0,sK10(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_17313,c_17039,c_17313]) ).
cnf(c_17591,plain,
( ~ member(X0,sK4(sK11,X1))
| ~ member(X1,sK12)
| apply(sK13,X0,X1) ),
inference(resolution,[status(thm)],[c_4297,c_634]) ).
cnf(c_18008,plain,
( ~ member(X0,sK12)
| apply(sK13,X0,X0) ),
inference(resolution,[status(thm)],[c_17591,c_634]) ).
cnf(c_18857,plain,
( ~ member(sK10(sK12,sK13),sK12)
| ~ member(X0,sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK7(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,X0,X0) ),
inference(superposition,[status(thm)],[c_17373,c_3288]) ).
cnf(c_18900,plain,
( ~ member(X0,sK12)
| apply(sK13,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_18857,c_18008]) ).
cnf(c_19557,plain,
( ~ member(sK10(sK12,sK13),sK12)
| member(sK5(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(resolution,[status(thm)],[c_911,c_18008]) ).
cnf(c_20177,plain,
( ~ member(sK10(sK12,sK13),sK12)
| member(sK7(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1098]) ).
cnf(c_20178,plain,
( ~ member(sK10(sK12,sK13),sK12)
| member(sK7(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1087]) ).
cnf(c_20179,plain,
( ~ member(sK10(sK12,sK13),sK12)
| member(sK6(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1010]) ).
cnf(c_20180,plain,
( ~ member(sK10(sK12,sK13),sK12)
| member(sK6(sK13,sK12),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_999]) ).
cnf(c_20181,plain,
( ~ member(sK10(sK12,sK13),sK12)
| member(sK5(sK13,sK12),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_922]) ).
cnf(c_20183,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK8(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1274]) ).
cnf(c_20184,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK9(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1263]) ).
cnf(c_20185,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK8(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1186]) ).
cnf(c_20186,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK9(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1175]) ).
cnf(c_20187,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1065]) ).
cnf(c_20188,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_977]) ).
cnf(c_20189,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_889]) ).
cnf(c_20190,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK10(sK12,sK13),sK12)
| member(sK8(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1362]) ).
cnf(c_20191,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK10(sK12,sK13),sK12)
| member(sK9(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1351]) ).
cnf(c_20192,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| member(sK7(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1043]) ).
cnf(c_20193,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| member(sK6(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_955]) ).
cnf(c_20194,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_867]) ).
cnf(c_20195,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_18900,c_1241]) ).
cnf(c_20196,plain,
( ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_18900,c_1153]) ).
cnf(c_20197,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_18900,c_1329]) ).
cnf(c_20198,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_1219]) ).
cnf(c_20199,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_1131]) ).
cnf(c_20200,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_1307]) ).
cnf(c_20214,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_8222]) ).
cnf(c_20215,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_7540]) ).
cnf(c_20243,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20189,c_878,c_933,c_944,c_5835,c_20189]) ).
cnf(c_20245,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20188,c_966,c_1021,c_1032,c_5870,c_20188]) ).
cnf(c_20247,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20187,c_1054,c_1109,c_1120,c_5998,c_20187]) ).
cnf(c_20263,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| member(sK9(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20191,c_1373,c_20191]) ).
cnf(c_20265,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| member(sK8(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20190,c_1384,c_20190]) ).
cnf(c_20267,plain,
( apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_20196,c_1142,c_1197,c_1208,c_7150,c_20196]) ).
cnf(c_20269,plain,
( apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_20195,c_1230,c_1285,c_1296,c_7159,c_20195]) ).
cnf(c_20271,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_20199,c_1142,c_1197,c_1208,c_7150,c_20199]) ).
cnf(c_20273,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_20198,c_1230,c_1285,c_1296,c_7159,c_20198]) ).
cnf(c_20275,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_20197,c_1340,c_20197]) ).
cnf(c_20277,plain,
( ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_20200,c_1318,c_20200]) ).
cnf(c_20278,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(renaming,[status(thm)],[c_20277]) ).
cnf(c_20283,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20215,c_6392,c_20215]) ).
cnf(c_20285,plain,
( sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_20214,c_6392,c_20214]) ).
cnf(c_24100,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_20267,c_3144]) ).
cnf(c_24121,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24100,c_20243,c_20245,c_24100]) ).
cnf(c_24175,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_98,c_24121]) ).
cnf(c_24176,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_99,c_24121]) ).
cnf(c_24178,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24176,c_20245,c_24176]) ).
cnf(c_24179,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(renaming,[status(thm)],[c_24178]) ).
cnf(c_24182,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24175,c_966,c_1021,c_1032,c_5870,c_20188,c_24175]) ).
cnf(c_24183,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(renaming,[status(thm)],[c_24182]) ).
cnf(c_24185,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_100,c_24179]) ).
cnf(c_24187,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24185,c_20245,c_24185]) ).
cnf(c_24194,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_18900,c_24187]) ).
cnf(c_24197,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24194,c_20245,c_24194]) ).
cnf(c_24236,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_24197,c_3241]) ).
cnf(c_24322,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_24236,c_20271]) ).
cnf(c_24328,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_24236,c_5054]) ).
cnf(c_24332,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_24322,c_20186,c_20185,c_20283,c_24322]) ).
cnf(c_24356,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_24328,c_6392,c_19557,c_20181,c_20194,c_20215,c_24236]) ).
cnf(c_24440,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_24332,c_3144]) ).
cnf(c_24461,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_24440,c_20180,c_20179,c_20193,c_20283,c_24236,c_24356,c_24440]) ).
cnf(c_24516,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_99,c_24461]) ).
cnf(c_24518,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_24516,c_20180,c_20179,c_20193,c_20283,c_24236,c_24516]) ).
cnf(c_24519,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0) ),
inference(renaming,[status(thm)],[c_24518]) ).
cnf(c_24525,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_100,c_24519]) ).
cnf(c_24527,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_24525,c_20180,c_20179,c_20193,c_20283,c_24236,c_24525]) ).
cnf(c_24534,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_24527]) ).
cnf(c_24537,plain,
sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_24534,c_20180,c_20179,c_20193,c_20283,c_24236,c_24534]) ).
cnf(c_24551,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11) ),
inference(superposition,[status(thm)],[c_24537,c_100]) ).
cnf(c_24552,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK5(sK13,sK12),sK14(sK6(sK13,sK12),sK6(sK13,sK12))) ),
inference(superposition,[status(thm)],[c_24537,c_99]) ).
cnf(c_24619,plain,
( ~ member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_24552,c_607]) ).
cnf(c_24644,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_24619,c_24551,c_24619]) ).
cnf(c_24705,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_20267,c_24644]) ).
cnf(c_24706,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_7297,c_24644]) ).
cnf(c_24710,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_24706,c_878,c_933,c_944,c_5835,c_6392,c_24706]) ).
cnf(c_24712,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24705,c_20243,c_20245,c_24705]) ).
cnf(c_24721,plain,
( ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_99,c_24712]) ).
cnf(c_24727,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24721,c_20243,c_24721]) ).
cnf(c_24728,plain,
( ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(renaming,[status(thm)],[c_24727]) ).
cnf(c_24734,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_100,c_24728]) ).
cnf(c_24737,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24734,c_20243,c_24734]) ).
cnf(c_24747,plain,
( ~ member(sK5(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_18900,c_24737]) ).
cnf(c_24753,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_24747,c_20243,c_24747]) ).
cnf(c_24800,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_24753,c_3241]) ).
cnf(c_24886,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_24800,c_20271]) ).
cnf(c_24892,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_24800,c_5054]) ).
cnf(c_24896,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_24886,c_1142,c_1197,c_1208,c_7150,c_20186,c_20185,c_24886]) ).
cnf(c_24906,plain,
( sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_24892,c_878,c_933,c_944,c_5835,c_19557,c_20181,c_20194,c_24800]) ).
cnf(c_25006,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_24896,c_24644]) ).
cnf(c_25027,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_25006,c_20180,c_20179,c_20193,c_24644,c_24710,c_24800,c_24896,c_24906]) ).
cnf(c_25086,plain,
( ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_99,c_25027]) ).
cnf(c_25092,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_25086,c_24906,c_25086]) ).
cnf(c_25093,plain,
( ~ member(sK14(sK5(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0) ),
inference(renaming,[status(thm)],[c_25092]) ).
cnf(c_25099,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_100,c_25093]) ).
cnf(c_25102,plain,
( ~ apply(sK13,sK5(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(sK5(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_25099,c_24906,c_25099]) ).
cnf(c_25113,plain,
( ~ member(sK5(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_25102]) ).
cnf(c_25119,plain,
sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_25113,c_24906,c_25113]) ).
cnf(c_25143,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11) ),
inference(superposition,[status(thm)],[c_25119,c_100]) ).
cnf(c_25146,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ member(sK14(sK5(sK13,sK12),sK5(sK13,sK12)),sK11)
| ~ apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK5(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_25119,c_3234]) ).
cnf(c_25196,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK5(sK13,sK12),X0) ),
inference(light_normalisation,[status(thm)],[c_25146,c_25119]) ).
cnf(c_25198,plain,
( ~ member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| ~ apply(sK13,sK6(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_98,c_25196]) ).
cnf(c_25201,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| ~ apply(sK13,sK6(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_25198,c_25143,c_25198]) ).
cnf(c_25204,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_25201]) ).
cnf(c_25207,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_25204]) ).
cnf(c_25248,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK6(sK13,sK12),sK5(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_25207,c_3241]) ).
cnf(c_25354,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_25248,c_3243]) ).
cnf(c_25359,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_25248,c_24187]) ).
cnf(c_25375,plain,
( sK14(sK5(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK5(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_25359,c_878,c_933,c_944,c_966,c_1021,c_1032,c_5835,c_5870,c_20189,c_20188,c_25359]) ).
cnf(c_25439,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_6239,c_25354]) ).
cnf(c_25440,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = X0
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_25439,c_6392,c_25439]) ).
cnf(c_25443,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_99,c_25440]) ).
cnf(c_25445,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_25443,c_6392,c_25443]) ).
cnf(c_25446,plain,
( ~ member(sK14(sK6(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(renaming,[status(thm)],[c_25445]) ).
cnf(c_25452,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_100,c_25446]) ).
cnf(c_25454,plain,
( ~ apply(sK13,sK6(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),X0)
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_25452,c_6392,c_25452]) ).
cnf(c_25461,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_18900,c_25454]) ).
cnf(c_25465,plain,
( sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_25461,c_6392,c_25461]) ).
cnf(c_25881,plain,
( sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(light_normalisation,[status(thm)],[c_25375,c_24537]) ).
cnf(c_25907,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_25881,c_3241]) ).
cnf(c_25993,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_25907,c_20271]) ).
cnf(c_25999,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_25907,c_5054]) ).
cnf(c_26003,plain,
( sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK5(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_25993,c_20186,c_20185,c_25465,c_25993]) ).
cnf(c_26013,plain,
( sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_25999,c_6392,c_19557,c_20181,c_20194,c_25461,c_25907]) ).
cnf(c_26113,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_26003,c_24644]) ).
cnf(c_26141,plain,
( ~ member(sK5(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_26113,c_20180,c_20179,c_20193,c_24644,c_25465,c_25907,c_26003,c_26013]) ).
cnf(c_26201,plain,
( ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_98,c_26141]) ).
cnf(c_26212,plain,
( ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_26201,c_26013,c_26201]) ).
cnf(c_26213,plain,
( ~ member(sK14(X0,sK5(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12)) ),
inference(renaming,[status(thm)],[c_26212]) ).
cnf(c_26265,plain,
( ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_100,c_26213]) ).
cnf(c_26268,plain,
( ~ apply(sK13,X0,sK5(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK5(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_26265,c_26013,c_26265]) ).
cnf(c_26279,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_25248,c_26268]) ).
cnf(c_26287,plain,
sK14(sK6(sK13,sK12),sK5(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_26279,c_20180,c_20179,c_20193,c_25465,c_25907,c_26013,c_26279]) ).
cnf(c_26315,plain,
( ~ apply(sK13,sK6(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11) ),
inference(superposition,[status(thm)],[c_26287,c_100]) ).
cnf(c_26316,plain,
( ~ apply(sK13,sK6(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK6(sK13,sK12),sK14(sK6(sK13,sK12),sK6(sK13,sK12))) ),
inference(superposition,[status(thm)],[c_26287,c_99]) ).
cnf(c_26317,plain,
( ~ apply(sK13,sK6(sK13,sK12),sK5(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK5(sK13,sK12),sK14(sK6(sK13,sK12),sK6(sK13,sK12))) ),
inference(superposition,[status(thm)],[c_26287,c_98]) ).
cnf(c_26343,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11) ),
inference(global_subsumption_just,[status(thm)],[c_26315,c_25248,c_26315]) ).
cnf(c_26345,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK5(sK13,sK12),sK14(sK6(sK13,sK12),sK6(sK13,sK12))) ),
inference(global_subsumption_just,[status(thm)],[c_26317,c_25248,c_26317]) ).
cnf(c_26347,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| member(sK6(sK13,sK12),sK14(sK6(sK13,sK12),sK6(sK13,sK12))) ),
inference(global_subsumption_just,[status(thm)],[c_26316,c_25248,c_26316]) ).
cnf(c_27756,plain,
( ~ member(sK14(X0,sK6(sK13,sK12)),sK11)
| ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(light_normalisation,[status(thm)],[c_24183,c_24537]) ).
cnf(c_27758,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_100,c_27756]) ).
cnf(c_27763,plain,
( ~ apply(sK13,X0,sK6(sK13,sK12))
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK6(sK13,sK12)) = sK14(X0,sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_27758,c_966,c_1021,c_1032,c_5870,c_20188,c_27758]) ).
cnf(c_28209,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_20269,c_3243]) ).
cnf(c_28211,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_20269,c_3144]) ).
cnf(c_28212,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_20269,c_3152]) ).
cnf(c_28224,plain,
( apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_28212,c_966,c_1021,c_1032,c_1054,c_1109,c_1120,c_5870,c_5998,c_20188,c_20187,c_28212]) ).
cnf(c_28240,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_28211,c_966,c_1021,c_1032,c_5870,c_20188,c_20247,c_28211]) ).
cnf(c_28242,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_28209,c_966,c_1021,c_1032,c_5870,c_7724,c_20188,c_20187,c_28209]) ).
cnf(c_28303,plain,
( ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_99,c_28240]) ).
cnf(c_28305,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_28303,c_20247,c_28303]) ).
cnf(c_28306,plain,
( ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(renaming,[status(thm)],[c_28305]) ).
cnf(c_28312,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_100,c_28306]) ).
cnf(c_28314,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0)
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_28312,c_20247,c_28312]) ).
cnf(c_28320,plain,
( ~ member(sK7(sK13,sK12),sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_18900,c_28314]) ).
cnf(c_28326,plain,
( sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_28320,c_20247,c_28320]) ).
cnf(c_28369,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_28326,c_3241]) ).
cnf(c_28454,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_28369,c_20273]) ).
cnf(c_28467,plain,
( sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_28454,c_14348,c_20184,c_20183,c_28454]) ).
cnf(c_29220,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_28467,c_3144]) ).
cnf(c_29253,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_29220,c_14348,c_20178,c_20177,c_20192,c_28369,c_29220]) ).
cnf(c_29255,plain,
( ~ member(sK7(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_29253,c_14348,c_20180,c_20179,c_20193,c_28369,c_29253]) ).
cnf(c_29320,plain,
( ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_99,c_29255]) ).
cnf(c_29322,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_29320,c_14348,c_20178,c_20177,c_20192,c_28369,c_29320]) ).
cnf(c_29323,plain,
( ~ member(sK14(sK7(sK13,sK12),X0),sK11)
| ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0) ),
inference(renaming,[status(thm)],[c_29322]) ).
cnf(c_29329,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_100,c_29323]) ).
cnf(c_29331,plain,
( ~ apply(sK13,sK7(sK13,sK12),X0)
| ~ member(X0,sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK7(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_29329,c_14348,c_20178,c_20177,c_20192,c_28369,c_29329]) ).
cnf(c_29337,plain,
( ~ member(sK7(sK13,sK12),sK12)
| sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_29331]) ).
cnf(c_29343,plain,
sK14(sK7(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_29337,c_14348,c_20178,c_20177,c_20192,c_28369,c_29337]) ).
cnf(c_29361,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK11) ),
inference(superposition,[status(thm)],[c_29343,c_100]) ).
cnf(c_29364,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12)))
| ~ member(sK14(sK7(sK13,sK12),sK7(sK13,sK12)),sK11)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_29343,c_3234]) ).
cnf(c_29389,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12)))
| ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK11)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(light_normalisation,[status(thm)],[c_29364,c_29343]) ).
cnf(c_29391,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12)))
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_100,c_29389]) ).
cnf(c_29393,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12)))
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_29391,c_29361,c_29389]) ).
cnf(c_29394,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12)))
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(renaming,[status(thm)],[c_29393]) ).
cnf(c_29490,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| ~ member(X0,sK11)
| ~ member(sK11,sK11)
| apply(sK13,sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) ),
inference(superposition,[status(thm)],[c_29361,c_753]) ).
cnf(c_29587,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK12)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| ~ member(X0,sK11)
| ~ member(sK11,sK11)
| apply(sK13,X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12))) ),
inference(superposition,[status(thm)],[c_29490,c_3241]) ).
cnf(c_29590,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK12)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,X1)
| ~ member(X0,sK12)
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(superposition,[status(thm)],[c_29490,c_3144]) ).
cnf(c_29603,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK12)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_29490,c_8588]) ).
cnf(c_29617,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| ~ member(X0,sK11)
| ~ member(sK11,sK11)
| apply(sK13,X0,sK14(sK6(sK13,sK12),sK7(sK13,sK12))) ),
inference(global_subsumption_just,[status(thm)],[c_29587,c_9296,c_13734,c_29361,c_29587]) ).
cnf(c_29621,plain,
( ~ member(X0,X1)
| ~ member(sK7(sK13,sK12),sK12)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_29590,c_725,c_9296,c_13734,c_29361,c_29590]) ).
cnf(c_29622,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,X1)
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(renaming,[status(thm)],[c_29621]) ).
cnf(c_29633,plain,
( ~ member(sK6(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_29603,c_1230,c_1285,c_1296,c_6392,c_6394,c_6483,c_7159,c_7712,c_9296,c_13734,c_29603]) ).
cnf(c_29883,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,X1)
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(superposition,[status(thm)],[c_18900,c_29622]) ).
cnf(c_34246,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK12)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_29617,c_28314]) ).
cnf(c_34248,plain,
( ~ member(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK12)
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(superposition,[status(thm)],[c_29617,c_7751]) ).
cnf(c_34265,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| member(sK10(sK12,sK13),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_34248,c_1230,c_1285,c_1296,c_6392,c_6394,c_6483,c_7159,c_7712,c_9296,c_13734,c_34248]) ).
cnf(c_34273,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_34246,c_966,c_1021,c_1032,c_5870,c_6483,c_9296,c_13734,c_20188,c_20247,c_20269,c_28224,c_34246]) ).
cnf(c_36391,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_34273,c_3241]) ).
cnf(c_36494,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_36391,c_20273]) ).
cnf(c_36507,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_36494,c_20184,c_20183,c_34265,c_36494]) ).
cnf(c_37236,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_36507,c_3152]) ).
cnf(c_37250,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_37236,c_20178,c_20177,c_20192,c_34265,c_36391,c_37236]) ).
cnf(c_37252,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_37250,c_20180,c_20179,c_20193,c_34265,c_36391,c_37250]) ).
cnf(c_37408,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK7(sK13,sK12),sK11)
| ~ member(X0,X1)
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(superposition,[status(thm)],[c_37252,c_29622]) ).
cnf(c_37445,plain,
( ~ member(sK7(sK13,sK12),sK11)
| ~ member(X0,X1)
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK7(sK13,sK12),sK14(sK6(sK13,sK12),sK7(sK13,sK12))) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_37408,c_20178,c_20177,c_20192,c_34265,c_36391,c_37408]) ).
cnf(c_37503,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK5(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_889,c_878,c_933,c_944,c_5835,c_20189]) ).
cnf(c_37513,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK5(sK13,sK12),sK12) ),
inference(resolution,[status(thm)],[c_37503,c_5546]) ).
cnf(c_37516,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK6(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_977,c_966,c_1021,c_1032,c_5870,c_20188]) ).
cnf(c_37526,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK6(sK13,sK12),sK12) ),
inference(resolution,[status(thm)],[c_37516,c_5546]) ).
cnf(c_37529,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| member(sK7(sK13,sK12),sK12) ),
inference(global_subsumption_just,[status(thm)],[c_1065,c_1054,c_1109,c_1120,c_5998,c_20187]) ).
cnf(c_37539,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13))
| member(sK7(sK13,sK12),sK12) ),
inference(resolution,[status(thm)],[c_37529,c_5546]) ).
cnf(c_37542,plain,
( ~ member(sK11,sK11)
| ~ member(X1,sK11)
| ~ member(X0,sK11)
| ~ member(X0,X1)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_37445,c_1054,c_1109,c_1120,c_5998,c_20178,c_20177,c_20192,c_29883,c_37539]) ).
cnf(c_37543,plain,
( ~ member(X0,X1)
| ~ member(X0,sK11)
| ~ member(X1,sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = X1 ),
inference(renaming,[status(thm)],[c_37542]) ).
cnf(c_37545,plain,
( ~ member(sK14(X0,X1),sK11)
| ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X0,sK11)
| ~ member(X1,sK12)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = sK14(X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_37543]) ).
cnf(c_37573,plain,
( ~ apply(sK13,X0,X1)
| ~ member(X0,sK12)
| ~ member(X0,sK11)
| ~ member(X1,sK12)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),X0) = sK14(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_37545,c_100,c_37545]) ).
cnf(c_37667,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_20269,c_37573]) ).
cnf(c_37736,plain,
( ~ member(sK6(sK13,sK12),sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_37667,c_1054,c_1109,c_1120,c_5998,c_20180,c_20179,c_20178,c_20177,c_20193,c_20192,c_29633,c_37526,c_37539,c_37667]) ).
cnf(c_37959,plain,
( ~ member(sK6(sK13,sK12),sK11)
| ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_37736,c_3241]) ).
cnf(c_38061,plain,
( ~ member(sK6(sK13,sK12),sK11)
| ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| ~ member(sK12,sK11)
| ~ member(sK11,sK11)
| sK14(sK14(sK6(sK13,sK12),sK7(sK13,sK12)),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK7(sK13,sK12))
| sK14(sK5(sK13,sK12),sK5(sK13,sK12)) = sK14(sK5(sK13,sK12),sK6(sK13,sK12))
| member(sK5(sK13,sK12),sK12) ),
inference(superposition,[status(thm)],[c_37959,c_5054]) ).
cnf(c_38077,plain,
member(sK5(sK13,sK12),sK12),
inference(global_subsumption_just,[status(thm)],[c_38061,c_878,c_933,c_944,c_5835,c_19557,c_20181,c_20194,c_37513]) ).
cnf(c_41386,plain,
( ~ member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_26347,c_28242]) ).
cnf(c_41387,plain,
( sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_41386,c_20180,c_20179,c_20193,c_20285,c_26343,c_37526,c_38077,c_41386]) ).
cnf(c_41564,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_41387,c_3241]) ).
cnf(c_41717,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_41564,c_20273]) ).
cnf(c_41730,plain,
( sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK6(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_41717,c_20184,c_20183,c_20285,c_41717]) ).
cnf(c_41848,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_41730,c_3243]) ).
cnf(c_41889,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_41848,c_1054,c_1109,c_1120,c_5998,c_20178,c_20177,c_20192,c_37539,c_41848]) ).
cnf(c_41891,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_41889,c_20180,c_20179,c_20193,c_20285,c_37526,c_41889]) ).
cnf(c_41963,plain,
( ~ member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_26347,c_41891]) ).
cnf(c_41964,plain,
( ~ member(sK6(sK13,sK12),sK12)
| sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_41963,c_26343,c_38077,c_41963]) ).
cnf(c_41966,plain,
sK14(sK6(sK13,sK12),sK7(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_41964,c_20180,c_20179,c_20193,c_20285,c_37526,c_41964]) ).
cnf(c_41988,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11) ),
inference(superposition,[status(thm)],[c_41966,c_29361]) ).
cnf(c_41990,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_41966,c_29394]) ).
cnf(c_42010,plain,
member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11),
inference(global_subsumption_just,[status(thm)],[c_41988,c_878,c_933,c_944,c_966,c_1021,c_1032,c_5835,c_5870,c_19557,c_20181,c_20180,c_20179,c_20194,c_20193,c_25248,c_26315,c_37513,c_37526]) ).
cnf(c_42025,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_41990,c_1054,c_1109,c_1120,c_5998,c_20178,c_20177,c_20192,c_37539,c_41990]) ).
cnf(c_42026,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(renaming,[status(thm)],[c_42025]) ).
cnf(c_42181,plain,
( apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13))
| ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_1340,c_20275]) ).
cnf(c_42182,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(renaming,[status(thm)],[c_42181]) ).
cnf(c_42201,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(resolution,[status(thm)],[c_42182,c_5546]) ).
cnf(c_42234,plain,
member(sK6(sK13,sK12),sK12),
inference(global_subsumption_just,[status(thm)],[c_955,c_966,c_1021,c_1032,c_5870,c_20180,c_20179,c_20193,c_37526]) ).
cnf(c_42247,plain,
member(sK7(sK13,sK12),sK12),
inference(global_subsumption_just,[status(thm)],[c_1043,c_1054,c_1109,c_1120,c_5998,c_20178,c_20177,c_20192,c_37539]) ).
cnf(c_42900,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK5(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_26345,c_42026]) ).
cnf(c_42902,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_26347,c_42026]) ).
cnf(c_42903,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_42902,c_38077,c_42234,c_42902]) ).
cnf(c_42905,plain,
( ~ apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12))
| apply(sK13,sK7(sK13,sK12),sK5(sK13,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_42900,c_878,c_933,c_944,c_966,c_1021,c_1032,c_5835,c_5870,c_19557,c_20181,c_20180,c_20179,c_20194,c_20193,c_37513,c_37526,c_42900]) ).
cnf(c_42914,plain,
( ~ member(sK7(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_18900,c_42903]) ).
cnf(c_42915,plain,
apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_42914,c_42247,c_42914]) ).
cnf(c_42950,plain,
( ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_42915,c_3288]) ).
cnf(c_42951,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(superposition,[status(thm)],[c_42915,c_3144]) ).
cnf(c_42954,plain,
( ~ member(sK7(sK13,sK12),sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_42915,c_27763]) ).
cnf(c_42981,plain,
( sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK8(sK12,sK13),sK9(sK12,sK13)) ),
inference(global_subsumption_just,[status(thm)],[c_42954,c_1054,c_1109,c_1120,c_5998,c_20178,c_20177,c_20192,c_37539,c_42954]) ).
cnf(c_42985,plain,
( ~ member(sK6(sK13,sK12),X0)
| ~ member(X0,sK11)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_42951,c_42234,c_42247,c_42951]) ).
cnf(c_43095,plain,
( ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12))
| apply(sK13,sK9(sK12,sK13),sK8(sK12,sK13)) ),
inference(superposition,[status(thm)],[c_42981,c_3241]) ).
cnf(c_43198,plain,
( ~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12))
| ~ member(sK9(sK12,sK13),sK12)
| ~ member(sK8(sK12,sK13),sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_43095,c_20278]) ).
cnf(c_43213,plain,
~ apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_43198,c_20263,c_20265,c_20278,c_42201]) ).
cnf(c_43301,plain,
( ~ member(sK14(sK6(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_26347,c_42985]) ).
cnf(c_43302,plain,
sK14(sK7(sK13,sK12),sK6(sK13,sK12)) = sK14(sK6(sK13,sK12),sK6(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_43301,c_38077,c_42010,c_42234,c_43301]) ).
cnf(c_43440,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ member(sK14(sK7(sK13,sK12),sK6(sK13,sK12)),sK11)
| ~ apply(sK13,sK7(sK13,sK12),sK6(sK13,sK12))
| ~ member(sK7(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(superposition,[status(thm)],[c_43302,c_3234]) ).
cnf(c_43481,plain,
( ~ member(X0,sK14(sK6(sK13,sK12),sK6(sK13,sK12)))
| ~ member(X0,sK12)
| apply(sK13,sK7(sK13,sK12),X0) ),
inference(global_subsumption_just,[status(thm)],[c_43440,c_41990,c_42234,c_42247,c_42950]) ).
cnf(c_43499,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK6(sK13,sK12),sK12)
| apply(sK13,sK7(sK13,sK12),sK5(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_26345,c_43481]) ).
cnf(c_43504,plain,
apply(sK13,sK7(sK13,sK12),sK5(sK13,sK12)),
inference(global_subsumption_just,[status(thm)],[c_43499,c_42234,c_42247,c_42905,c_42950]) ).
cnf(c_43543,plain,
( ~ member(sK5(sK13,sK12),sK12)
| ~ member(sK7(sK13,sK12),sK12)
| apply(sK13,sK5(sK13,sK12),sK7(sK13,sK12)) ),
inference(superposition,[status(thm)],[c_43504,c_3241]) ).
cnf(c_43563,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43543,c_43213,c_42247,c_38077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET772+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 12:16:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 230.97/30.86 % SZS status Started for theBenchmark.p
% 230.97/30.86 % SZS status Theorem for theBenchmark.p
% 230.97/30.86
% 230.97/30.86 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 230.97/30.86
% 230.97/30.86 ------ iProver source info
% 230.97/30.86
% 230.97/30.86 git: date: 2023-05-31 18:12:56 +0000
% 230.97/30.86 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 230.97/30.86 git: non_committed_changes: false
% 230.97/30.86 git: last_make_outside_of_git: false
% 230.97/30.86
% 230.97/30.86 ------ Parsing...
% 230.97/30.86 ------ Clausification by vclausify_rel & Parsing by iProver...
% 230.97/30.86
% 230.97/30.86 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 230.97/30.86
% 230.97/30.86 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 230.97/30.86
% 230.97/30.86 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 230.97/30.86 ------ Proving...
% 230.97/30.86 ------ Problem Properties
% 230.97/30.86
% 230.97/30.86
% 230.97/30.86 clauses 85
% 230.97/30.86 conjectures 3
% 230.97/30.86 EPR 5
% 230.97/30.86 Horn 42
% 230.97/30.86 unary 4
% 230.97/30.86 binary 20
% 230.97/30.86 lits 234
% 230.97/30.86 lits eq 4
% 230.97/30.86 fd_pure 0
% 230.97/30.86 fd_pseudo 0
% 230.97/30.86 fd_cond 0
% 230.97/30.86 fd_pseudo_cond 3
% 230.97/30.86 AC symbols 0
% 230.97/30.86
% 230.97/30.86 ------ Input Options Time Limit: Unbounded
% 230.97/30.86
% 230.97/30.86
% 230.97/30.86 ------
% 230.97/30.86 Current options:
% 230.97/30.86 ------
% 230.97/30.86
% 230.97/30.86
% 230.97/30.86
% 230.97/30.86
% 230.97/30.86 ------ Proving...
% 230.97/30.86
% 230.97/30.86
% 230.97/30.86 % SZS status Theorem for theBenchmark.p
% 230.97/30.86
% 230.97/30.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 230.97/30.86
% 230.97/30.87
%------------------------------------------------------------------------------