TSTP Solution File: SET775+4 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET775+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 15:09:46 EDT 2023
% Result : Theorem 7.24s 1.66s
% Output : CNFRefutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 11
% Syntax : Number of formulae : 465 ( 29 unt; 0 def)
% Number of atoms : 1747 ( 116 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 2006 ( 724 ~;1080 |; 149 &)
% ( 14 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 496 ( 1 sgn; 191 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X2,X0] :
( member(X2,product(X0))
<=> ! [X4] :
( member(X4,X0)
=> member(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product) ).
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(f15,axiom,
! [X6,X3,X0,X2] :
( member(X2,equivalence_class(X0,X3,X6))
<=> ( apply(X6,X0,X2)
& member(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_class) ).
fof(f16,axiom,
! [X6,X3] :
( pre_order(X6,X3)
<=> ( ! [X2,X4,X5] :
( ( member(X5,X3)
& member(X4,X3)
& member(X2,X3) )
=> ( ( apply(X6,X4,X5)
& apply(X6,X2,X4) )
=> apply(X6,X2,X5) ) )
& ! [X2] :
( member(X2,X3)
=> apply(X6,X2,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pre_order) ).
fof(f17,conjecture,
! [X3,X7,X6] :
( ( ! [X0,X1] :
( ( member(X1,X3)
& member(X0,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X7,X1,X0)
& apply(X7,X0,X1) ) ) )
& pre_order(X7,X3) )
=> equivalence(X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII11) ).
fof(f18,negated_conjecture,
~ ! [X3,X7,X6] :
( ( ! [X0,X1] :
( ( member(X1,X3)
& member(X0,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X7,X1,X0)
& apply(X7,X0,X1) ) ) )
& pre_order(X7,X3) )
=> equivalence(X6,X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f27,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X2,X1)
=> member(X0,X2) ) ),
inference(rectify,[],[f11]) ).
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(f30,plain,
! [X0,X1,X2,X3] :
( member(X3,equivalence_class(X2,X1,X0))
<=> ( apply(X0,X2,X3)
& member(X3,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f31,plain,
! [X0,X1] :
( pre_order(X0,X1)
<=> ( ! [X2,X3,X4] :
( ( member(X4,X1)
& member(X3,X1)
& member(X2,X1) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X2,X3) )
=> apply(X0,X2,X4) ) )
& ! [X5] :
( member(X5,X1)
=> apply(X0,X5,X5) ) ) ),
inference(rectify,[],[f16]) ).
fof(f32,plain,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( member(X4,X0)
& member(X3,X0) )
=> ( apply(X2,X3,X4)
<=> ( apply(X1,X4,X3)
& apply(X1,X3,X4) ) ) )
& pre_order(X1,X0) )
=> equivalence(X2,X0) ),
inference(rectify,[],[f18]) ).
fof(f33,plain,
! [X0,X1] :
( pre_order(X0,X1)
=> ( ! [X2,X3,X4] :
( ( member(X4,X1)
& member(X3,X1)
& member(X2,X1) )
=> ( ( apply(X0,X3,X4)
& apply(X0,X2,X3) )
=> apply(X0,X2,X4) ) )
& ! [X5] :
( member(X5,X1)
=> apply(X0,X5,X5) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f34,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(f36,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f37,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,[],[f34]) ).
fof(f38,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,[],[f37]) ).
fof(f39,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) )
& ! [X5] :
( apply(X0,X5,X5)
| ~ member(X5,X1) ) )
| ~ pre_order(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f40,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) )
& ! [X5] :
( apply(X0,X5,X5)
| ~ member(X5,X1) ) )
| ~ pre_order(X0,X1) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X0)
& ! [X3,X4] :
( ( apply(X2,X3,X4)
<=> ( apply(X1,X4,X3)
& apply(X1,X3,X4) ) )
| ~ member(X4,X0)
| ~ member(X3,X0) )
& pre_order(X1,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X0)
& ! [X3,X4] :
( ( apply(X2,X3,X4)
<=> ( apply(X1,X4,X3)
& apply(X1,X3,X4) ) )
| ~ member(X4,X0)
| ~ member(X3,X0) )
& pre_order(X1,X0) ),
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,[],[f38,f43]) ).
fof(f63,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) )
| ~ member(X0,product(X1)) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f64,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) )
=> ( ~ member(X0,sK3(X0,X1))
& member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ( ~ member(X0,sK3(X0,X1))
& member(sK3(X0,X1),X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f64,f65]) ).
fof(f67,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(f68,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,[],[f67]) ).
fof(f69,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,sK4(X0,X1),sK6(X0,X1))
& apply(X0,sK5(X0,X1),sK6(X0,X1))
& apply(X0,sK4(X0,X1),sK5(X0,X1))
& member(sK6(X0,X1),X1)
& member(sK5(X0,X1),X1)
& member(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( ( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
& apply(X0,sK5(X0,X1),sK6(X0,X1))
& apply(X0,sK4(X0,X1),sK5(X0,X1))
& member(sK6(X0,X1),X1)
& member(sK5(X0,X1),X1)
& member(sK4(X0,X1),X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f68,f69]) ).
fof(f71,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(f72,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ apply(X1,X3,X2)
& apply(X1,X2,X3)
& member(X3,X0)
& member(X2,X0) )
=> ( ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
& apply(X1,sK7(X0,X1),sK8(X0,X1))
& member(sK8(X0,X1),X0)
& member(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) )
=> ( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
& member(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ( ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
& apply(X1,sK7(X0,X1),sK8(X0,X1))
& member(sK8(X0,X1),X0)
& member(sK7(X0,X1),X0) )
| ( ~ apply(X1,sK9(X0,X1),sK9(X0,X1))
& member(sK9(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f71,f73,f72]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X2,X1,X0))
| ~ apply(X0,X2,X3)
| ~ member(X3,X1) )
& ( ( apply(X0,X2,X3)
& member(X3,X1) )
| ~ member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ( member(X3,equivalence_class(X2,X1,X0))
| ~ apply(X0,X2,X3)
| ~ member(X3,X1) )
& ( ( apply(X0,X2,X3)
& member(X3,X1) )
| ~ member(X3,equivalence_class(X2,X1,X0)) ) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X0)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4) )
& ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X4,X0)
| ~ member(X3,X0) )
& pre_order(X1,X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ~ equivalence(X2,X0)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4) )
& ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X4,X0)
| ~ member(X3,X0) )
& pre_order(X1,X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
( ? [X0,X1,X2] :
( ~ equivalence(X2,X0)
& ! [X3,X4] :
( ( ( apply(X2,X3,X4)
| ~ apply(X1,X4,X3)
| ~ apply(X1,X3,X4) )
& ( ( apply(X1,X4,X3)
& apply(X1,X3,X4) )
| ~ apply(X2,X3,X4) ) )
| ~ member(X4,X0)
| ~ member(X3,X0) )
& pre_order(X1,X0) )
=> ( ~ equivalence(sK12,sK10)
& ! [X4,X3] :
( ( ( apply(sK12,X3,X4)
| ~ apply(sK11,X4,X3)
| ~ apply(sK11,X3,X4) )
& ( ( apply(sK11,X4,X3)
& apply(sK11,X3,X4) )
| ~ apply(sK12,X3,X4) ) )
| ~ member(X4,sK10)
| ~ member(X3,sK10) )
& pre_order(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ~ equivalence(sK12,sK10)
& ! [X3,X4] :
( ( ( apply(sK12,X3,X4)
| ~ apply(sK11,X4,X3)
| ~ apply(sK11,X3,X4) )
& ( ( apply(sK11,X4,X3)
& apply(sK11,X3,X4) )
| ~ apply(sK12,X3,X4) ) )
| ~ member(X4,sK10)
| ~ member(X3,sK10) )
& pre_order(sK11,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f78,f79]) ).
fof(f105,plain,
! [X0,X1] :
( member(X0,product(X1))
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f107,plain,
! [X0,X1] :
( member(sK4(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f108,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f109,plain,
! [X0,X1] :
( member(sK6(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f110,plain,
! [X0,X1] :
( apply(X0,sK4(X0,X1),sK5(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f111,plain,
! [X0,X1] :
( apply(X0,sK5(X0,X1),sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f112,plain,
! [X0,X1] :
( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f113,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK7(X0,X1),X0)
| member(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f114,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK7(X0,X1),X0)
| ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f115,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK8(X0,X1),X0)
| member(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f116,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| member(sK8(X0,X1),X0)
| ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f117,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| apply(X1,sK7(X0,X1),sK8(X0,X1))
| member(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f118,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| apply(X1,sK7(X0,X1),sK8(X0,X1))
| ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f119,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
| member(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f120,plain,
! [X0,X1] :
( equivalence(X1,X0)
| sP0(X1,X0)
| ~ apply(X1,sK8(X0,X1),sK7(X0,X1))
| ~ apply(X1,sK9(X0,X1),sK9(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( apply(X0,X2,X3)
| ~ member(X3,equivalence_class(X2,X1,X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f124,plain,
! [X0,X1,X5] :
( apply(X0,X5,X5)
| ~ member(X5,X1)
| ~ pre_order(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4] :
( apply(X0,X2,X4)
| ~ apply(X0,X3,X4)
| ~ apply(X0,X2,X3)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ member(X2,X1)
| ~ pre_order(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f126,plain,
pre_order(sK11,sK10),
inference(cnf_transformation,[],[f80]) ).
fof(f127,plain,
! [X3,X4] :
( apply(sK11,X3,X4)
| ~ apply(sK12,X3,X4)
| ~ member(X4,sK10)
| ~ member(X3,sK10) ),
inference(cnf_transformation,[],[f80]) ).
fof(f128,plain,
! [X3,X4] :
( apply(sK11,X4,X3)
| ~ apply(sK12,X3,X4)
| ~ member(X4,sK10)
| ~ member(X3,sK10) ),
inference(cnf_transformation,[],[f80]) ).
fof(f129,plain,
! [X3,X4] :
( apply(sK12,X3,X4)
| ~ apply(sK11,X4,X3)
| ~ apply(sK11,X3,X4)
| ~ member(X4,sK10)
| ~ member(X3,sK10) ),
inference(cnf_transformation,[],[f80]) ).
fof(f130,plain,
~ equivalence(sK12,sK10),
inference(cnf_transformation,[],[f80]) ).
cnf(c_73,plain,
( member(sK3(X0,X1),X1)
| member(X0,product(X1)) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_75,plain,
( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_76,plain,
( ~ sP0(X0,X1)
| apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_77,plain,
( ~ sP0(X0,X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_78,plain,
( ~ sP0(X0,X1)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_79,plain,
( ~ sP0(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_80,plain,
( ~ sP0(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_81,plain,
( ~ apply(X0,sK8(X1,X0),sK7(X1,X0))
| ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_82,plain,
( ~ apply(X0,sK8(X1,X0),sK7(X1,X0))
| member(sK9(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_83,plain,
( ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| apply(X0,sK7(X1,X0),sK8(X1,X0))
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_84,plain,
( apply(X0,sK7(X1,X0),sK8(X1,X0))
| member(sK9(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_85,plain,
( ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| member(sK8(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_86,plain,
( member(sK8(X0,X1),X0)
| member(sK9(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_87,plain,
( ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| member(sK7(X1,X0),X1)
| sP0(X0,X1)
| equivalence(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_88,plain,
( member(sK7(X0,X1),X0)
| member(sK9(X0,X1),X0)
| sP0(X1,X0)
| equivalence(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_90,plain,
( ~ member(X0,equivalence_class(X1,X2,X3))
| apply(X3,X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_92,plain,
( ~ apply(X0,X1,X2)
| ~ apply(X0,X3,X1)
| ~ member(X1,X4)
| ~ member(X2,X4)
| ~ member(X3,X4)
| ~ pre_order(X0,X4)
| apply(X0,X3,X2) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_93,plain,
( ~ member(X0,X1)
| ~ pre_order(X2,X1)
| apply(X2,X0,X0) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_94,negated_conjecture,
~ equivalence(sK12,sK10),
inference(cnf_transformation,[],[f130]) ).
cnf(c_95,negated_conjecture,
( ~ apply(sK11,X0,X1)
| ~ apply(sK11,X1,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK12,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_96,negated_conjecture,
( ~ apply(sK12,X0,X1)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_97,negated_conjecture,
( ~ apply(sK12,X0,X1)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_98,negated_conjecture,
pre_order(sK11,sK10),
inference(cnf_transformation,[],[f126]) ).
cnf(c_185,plain,
( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_75]) ).
cnf(c_189,plain,
( ~ sP0(X0,X1)
| apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_76]) ).
cnf(c_191,plain,
( ~ sP0(X0,X1)
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_193,plain,
( ~ sP0(X0,X1)
| member(sK6(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_195,plain,
( ~ sP0(X0,X1)
| member(sK5(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_197,plain,
( ~ sP0(X0,X1)
| member(sK4(X0,X1),X1) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_826,plain,
( X0 != sK11
| X1 != sK10
| ~ apply(X0,X2,X3)
| ~ apply(X0,X4,X2)
| ~ member(X2,X1)
| ~ member(X3,X1)
| ~ member(X4,X1)
| apply(X0,X4,X3) ),
inference(resolution_lifted,[status(thm)],[c_92,c_98]) ).
cnf(c_827,plain,
( ~ apply(sK11,X0,X1)
| ~ apply(sK11,X2,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| ~ member(X2,sK10)
| apply(sK11,X2,X1) ),
inference(unflattening,[status(thm)],[c_826]) ).
cnf(c_846,plain,
( X0 != sK10
| X1 != sK11
| ~ member(X2,X0)
| apply(X1,X2,X2) ),
inference(resolution_lifted,[status(thm)],[c_93,c_98]) ).
cnf(c_847,plain,
( ~ member(X0,sK10)
| apply(sK11,X0,X0) ),
inference(unflattening,[status(thm)],[c_846]) ).
cnf(c_929,plain,
( X0 != sK10
| X1 != sK12
| member(sK7(X0,X1),X0)
| member(sK9(X0,X1),X0)
| sP0(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_88,c_94]) ).
cnf(c_930,plain,
( member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10)
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_929]) ).
cnf(c_940,plain,
( X0 != sK10
| X1 != sK12
| member(sK8(X0,X1),X0)
| member(sK9(X0,X1),X0)
| sP0(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_86,c_94]) ).
cnf(c_941,plain,
( member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10)
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_940]) ).
cnf(c_951,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| member(sK7(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_87,c_94]) ).
cnf(c_952,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK7(sK10,sK12),sK10)
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_951]) ).
cnf(c_962,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| member(sK8(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_85,c_94]) ).
cnf(c_963,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK8(sK10,sK12),sK10)
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_962]) ).
cnf(c_973,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK7(X1,X0),sK8(X1,X0))
| member(sK9(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_84,c_94]) ).
cnf(c_974,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10)
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_973]) ).
cnf(c_984,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| apply(X0,sK7(X1,X0),sK8(X1,X0))
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_83,c_94]) ).
cnf(c_985,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_984]) ).
cnf(c_995,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK8(X1,X0),sK7(X1,X0))
| member(sK9(X1,X0),X1)
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_82,c_94]) ).
cnf(c_996,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK9(sK10,sK12),sK10)
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_995]) ).
cnf(c_1006,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK8(X1,X0),sK7(X1,X0))
| ~ apply(X0,sK9(X1,X0),sK9(X1,X0))
| sP0(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_81,c_94]) ).
cnf(c_1007,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| sP0(sK12,sK10) ),
inference(unflattening,[status(thm)],[c_1006]) ).
cnf(c_1041,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK4(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_197,c_1007]) ).
cnf(c_1042,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(unflattening,[status(thm)],[c_1041]) ).
cnf(c_1052,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(X0,X1),X1)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_197,c_996]) ).
cnf(c_1053,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1052]) ).
cnf(c_1063,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_197,c_985]) ).
cnf(c_1064,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(unflattening,[status(thm)],[c_1063]) ).
cnf(c_1074,plain,
( X0 != sK12
| X1 != sK10
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(X0,X1),X1)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_197,c_974]) ).
cnf(c_1075,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1074]) ).
cnf(c_1085,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK4(X0,X1),X1)
| member(sK8(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_197,c_963]) ).
cnf(c_1086,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1085]) ).
cnf(c_1096,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK4(X0,X1),X1)
| member(sK7(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_197,c_952]) ).
cnf(c_1097,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1096]) ).
cnf(c_1107,plain,
( X0 != sK12
| X1 != sK10
| member(sK4(X0,X1),X1)
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_197,c_941]) ).
cnf(c_1108,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1107]) ).
cnf(c_1118,plain,
( X0 != sK12
| X1 != sK10
| member(sK4(X0,X1),X1)
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_197,c_930]) ).
cnf(c_1119,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1118]) ).
cnf(c_1129,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK5(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_195,c_1007]) ).
cnf(c_1130,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(unflattening,[status(thm)],[c_1129]) ).
cnf(c_1140,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(X0,X1),X1)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_195,c_996]) ).
cnf(c_1141,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1140]) ).
cnf(c_1151,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_195,c_985]) ).
cnf(c_1152,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(unflattening,[status(thm)],[c_1151]) ).
cnf(c_1162,plain,
( X0 != sK12
| X1 != sK10
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(X0,X1),X1)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_195,c_974]) ).
cnf(c_1163,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1162]) ).
cnf(c_1173,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK5(X0,X1),X1)
| member(sK8(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_195,c_963]) ).
cnf(c_1174,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1173]) ).
cnf(c_1184,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK5(X0,X1),X1)
| member(sK7(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_195,c_952]) ).
cnf(c_1185,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1184]) ).
cnf(c_1195,plain,
( X0 != sK12
| X1 != sK10
| member(sK5(X0,X1),X1)
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_195,c_941]) ).
cnf(c_1196,plain,
( member(sK5(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1195]) ).
cnf(c_1206,plain,
( X0 != sK12
| X1 != sK10
| member(sK5(X0,X1),X1)
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_195,c_930]) ).
cnf(c_1207,plain,
( member(sK5(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1206]) ).
cnf(c_1217,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK6(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_193,c_1007]) ).
cnf(c_1218,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(unflattening,[status(thm)],[c_1217]) ).
cnf(c_1228,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(X0,X1),X1)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_193,c_996]) ).
cnf(c_1229,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1228]) ).
cnf(c_1239,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_193,c_985]) ).
cnf(c_1240,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(unflattening,[status(thm)],[c_1239]) ).
cnf(c_1250,plain,
( X0 != sK12
| X1 != sK10
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(X0,X1),X1)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_193,c_974]) ).
cnf(c_1251,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1250]) ).
cnf(c_1261,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK6(X0,X1),X1)
| member(sK8(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_193,c_963]) ).
cnf(c_1262,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1261]) ).
cnf(c_1272,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK6(X0,X1),X1)
| member(sK7(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_193,c_952]) ).
cnf(c_1273,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1272]) ).
cnf(c_1283,plain,
( X0 != sK12
| X1 != sK10
| member(sK6(X0,X1),X1)
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_193,c_941]) ).
cnf(c_1284,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1283]) ).
cnf(c_1294,plain,
( X0 != sK12
| X1 != sK10
| member(sK6(X0,X1),X1)
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_193,c_930]) ).
cnf(c_1295,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1294]) ).
cnf(c_1305,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_191,c_1007]) ).
cnf(c_1306,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(unflattening,[status(thm)],[c_1305]) ).
cnf(c_1316,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_191,c_996]) ).
cnf(c_1317,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1316]) ).
cnf(c_1327,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(resolution_lifted,[status(thm)],[c_191,c_985]) ).
cnf(c_1328,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(unflattening,[status(thm)],[c_1327]) ).
cnf(c_1338,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_191,c_974]) ).
cnf(c_1339,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1338]) ).
cnf(c_1349,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK8(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_191,c_963]) ).
cnf(c_1350,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1349]) ).
cnf(c_1360,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK7(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_191,c_952]) ).
cnf(c_1361,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1360]) ).
cnf(c_1371,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_191,c_941]) ).
cnf(c_1372,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1371]) ).
cnf(c_1382,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK4(X0,X1),sK5(X0,X1))
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_191,c_930]) ).
cnf(c_1383,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1382]) ).
cnf(c_1393,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_189,c_1007]) ).
cnf(c_1394,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(unflattening,[status(thm)],[c_1393]) ).
cnf(c_1404,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_189,c_996]) ).
cnf(c_1405,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1404]) ).
cnf(c_1415,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(resolution_lifted,[status(thm)],[c_189,c_985]) ).
cnf(c_1416,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(unflattening,[status(thm)],[c_1415]) ).
cnf(c_1426,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_189,c_974]) ).
cnf(c_1427,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1426]) ).
cnf(c_1437,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK8(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_189,c_963]) ).
cnf(c_1438,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1437]) ).
cnf(c_1448,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK7(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_189,c_952]) ).
cnf(c_1449,plain,
( ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1448]) ).
cnf(c_1459,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_189,c_941]) ).
cnf(c_1460,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1459]) ).
cnf(c_1470,plain,
( X0 != sK12
| X1 != sK10
| apply(X0,sK5(X0,X1),sK6(X0,X1))
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_189,c_930]) ).
cnf(c_1471,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1470]) ).
cnf(c_1481,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12)) ),
inference(resolution_lifted,[status(thm)],[c_185,c_1007]) ).
cnf(c_1482,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12)) ),
inference(unflattening,[status(thm)],[c_1481]) ).
cnf(c_1492,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_185,c_996]) ).
cnf(c_1493,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1492]) ).
cnf(c_1503,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(resolution_lifted,[status(thm)],[c_185,c_985]) ).
cnf(c_1504,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(unflattening,[status(thm)],[c_1503]) ).
cnf(c_1514,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_185,c_974]) ).
cnf(c_1515,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1514]) ).
cnf(c_1525,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK8(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_185,c_963]) ).
cnf(c_1526,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK8(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1525]) ).
cnf(c_1536,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK7(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_185,c_952]) ).
cnf(c_1537,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK9(sK10,sK12),sK9(sK10,sK12))
| member(sK7(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1536]) ).
cnf(c_1547,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_185,c_941]) ).
cnf(c_1548,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1547]) ).
cnf(c_1558,plain,
( X0 != sK12
| X1 != sK10
| ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(resolution_lifted,[status(thm)],[c_185,c_930]) ).
cnf(c_1559,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(unflattening,[status(thm)],[c_1558]) ).
cnf(c_3095,plain,
( ~ apply(sK11,X0,X0)
| ~ member(X0,sK10)
| apply(sK12,X0,X0) ),
inference(superposition,[status(thm)],[c_847,c_95]) ).
cnf(c_3099,plain,
( ~ member(X0,sK10)
| apply(sK12,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3095,c_847,c_3095]) ).
cnf(c_3139,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1042]) ).
cnf(c_3192,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1075,c_97]) ).
cnf(c_3193,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1075,c_96]) ).
cnf(c_3204,plain,
( apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3192,c_1108,c_1119,c_3192]) ).
cnf(c_3222,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3193,c_1108,c_1119,c_3193]) ).
cnf(c_3231,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3222,c_95]) ).
cnf(c_3246,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3231,c_1053,c_1108,c_1119,c_3204,c_3231]) ).
cnf(c_3317,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1163,c_97]) ).
cnf(c_3318,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1163,c_96]) ).
cnf(c_3329,plain,
( apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3317,c_1196,c_1207,c_3317]) ).
cnf(c_3347,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3318,c_1196,c_1207,c_3318]) ).
cnf(c_3356,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3347,c_95]) ).
cnf(c_3371,plain,
( member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3356,c_1141,c_1196,c_1207,c_3329,c_3356]) ).
cnf(c_3383,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1251,c_97]) ).
cnf(c_3384,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1251,c_96]) ).
cnf(c_3395,plain,
( apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3383,c_1284,c_1295,c_3383]) ).
cnf(c_3413,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3384,c_1284,c_1295,c_3384]) ).
cnf(c_3422,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3413,c_95]) ).
cnf(c_3437,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3422,c_1229,c_1284,c_1295,c_3395,c_3422]) ).
cnf(c_3449,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1064]) ).
cnf(c_3677,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK4(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1086]) ).
cnf(c_3770,plain,
( apply(X0,X1,sK3(X2,equivalence_class(X1,X3,X0)))
| member(X2,product(equivalence_class(X1,X3,X0))) ),
inference(superposition,[status(thm)],[c_73,c_90]) ).
cnf(c_4150,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3677,c_1053,c_1108,c_1119,c_3204,c_3231,c_3677]) ).
cnf(c_4269,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK4(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1097]) ).
cnf(c_4573,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4269,c_1053,c_1108,c_1119,c_3204,c_3231,c_4269]) ).
cnf(c_4681,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1130]) ).
cnf(c_4839,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK5(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1174]) ).
cnf(c_4843,plain,
( member(sK5(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4839,c_1141,c_1196,c_1207,c_3329,c_3356,c_4839]) ).
cnf(c_4877,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK5(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1185]) ).
cnf(c_4881,plain,
( member(sK5(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4877,c_1141,c_1196,c_1207,c_3329,c_3356,c_4877]) ).
cnf(c_4904,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK6(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1262]) ).
cnf(c_4908,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4904,c_1229,c_1284,c_1295,c_3395,c_3422,c_4904]) ).
cnf(c_4929,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1152]) ).
cnf(c_5060,plain,
( ~ apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_5098,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK6(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1273]) ).
cnf(c_5102,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5098,c_1229,c_1284,c_1295,c_3395,c_3422,c_5098]) ).
cnf(c_5129,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3449,c_3246,c_3449]) ).
cnf(c_5135,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5129,c_97]) ).
cnf(c_5136,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5129,c_96]) ).
cnf(c_5145,plain,
( apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5135,c_1053,c_1108,c_1119,c_3204,c_3231,c_3677,c_4269,c_5135]) ).
cnf(c_5160,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5136,c_4150,c_4573,c_5136]) ).
cnf(c_5167,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5160,c_95]) ).
cnf(c_5180,plain,
member(sK4(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_5167,c_3139,c_3246,c_4150,c_4573,c_5145,c_5167]) ).
cnf(c_5195,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1218]) ).
cnf(c_5359,plain,
member(sK4(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_1108,c_3139,c_3246,c_4150,c_4573,c_5145,c_5167]) ).
cnf(c_5531,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4929,c_3371,c_4929]) ).
cnf(c_5537,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5531,c_97]) ).
cnf(c_5538,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5531,c_96]) ).
cnf(c_5547,plain,
( apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5537,c_1141,c_1196,c_1207,c_3329,c_3356,c_4839,c_4877,c_5537]) ).
cnf(c_5562,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5538,c_4843,c_4881,c_5538]) ).
cnf(c_5569,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5562,c_95]) ).
cnf(c_5582,plain,
member(sK5(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_5569,c_3371,c_4681,c_4843,c_4881,c_5547,c_5569]) ).
cnf(c_5675,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1240]) ).
cnf(c_5720,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5675,c_3437,c_5675]) ).
cnf(c_5726,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5720,c_97]) ).
cnf(c_5727,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5720,c_96]) ).
cnf(c_5736,plain,
( apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5726,c_1229,c_1284,c_1295,c_3395,c_3422,c_4904,c_5098,c_5726]) ).
cnf(c_5751,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5727,c_4908,c_5102,c_5727]) ).
cnf(c_5758,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_5751,c_95]) ).
cnf(c_5771,plain,
member(sK6(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_5758,c_3437,c_4908,c_5102,c_5195,c_5736,c_5758]) ).
cnf(c_5916,plain,
member(sK6(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_1295,c_3437,c_4908,c_5102,c_5195,c_5736,c_5758]) ).
cnf(c_5933,plain,
member(sK5(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_1163,c_3371,c_4681,c_4843,c_4881,c_5547,c_5569]) ).
cnf(c_6213,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1350]) ).
cnf(c_6372,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6213,c_1372,c_6213]) ).
cnf(c_6378,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6372,c_97]) ).
cnf(c_6379,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6372,c_96]) ).
cnf(c_6380,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6379,c_5582,c_5180]) ).
cnf(c_6383,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6378,c_5582,c_5180]) ).
cnf(c_6390,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6380,c_827]) ).
cnf(c_6396,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6390,c_5582,c_5180]) ).
cnf(c_6534,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1361]) ).
cnf(c_6771,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6534,c_1383,c_6534]) ).
cnf(c_6777,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6771,c_97]) ).
cnf(c_6778,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6771,c_96]) ).
cnf(c_6779,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6778,c_5582,c_5180]) ).
cnf(c_6782,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6777,c_5582,c_5180]) ).
cnf(c_6789,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6779,c_827]) ).
cnf(c_6795,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6789,c_5582,c_5180]) ).
cnf(c_6825,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1438]) ).
cnf(c_6829,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6825,c_1460,c_6825]) ).
cnf(c_6835,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6829,c_97]) ).
cnf(c_6836,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6829,c_96]) ).
cnf(c_6837,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6836,c_5582,c_5771]) ).
cnf(c_6840,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6835,c_5582,c_5771]) ).
cnf(c_6849,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1449]) ).
cnf(c_7000,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6840,c_827]) ).
cnf(c_7002,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7000,c_5582,c_5771]) ).
cnf(c_7008,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6849,c_1471,c_6849]) ).
cnf(c_7014,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_7008,c_97]) ).
cnf(c_7015,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_7008,c_96]) ).
cnf(c_7016,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7015,c_5582,c_5771]) ).
cnf(c_7019,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7014,c_5582,c_5771]) ).
cnf(c_7042,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_7019,c_827]) ).
cnf(c_7044,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7042,c_5582,c_5771]) ).
cnf(c_7078,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6837,c_6396]) ).
cnf(c_7081,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7078,c_5771]) ).
cnf(c_7389,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_7016,c_6795]) ).
cnf(c_7394,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7389,c_5771]) ).
cnf(c_7454,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1526]) ).
cnf(c_7728,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_7454,c_1548,c_7454]) ).
cnf(c_7824,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6383,c_7002]) ).
cnf(c_7828,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6837,c_7002]) ).
cnf(c_7833,plain,
( apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7828,c_5771]) ).
cnf(c_7836,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7824,c_5180]) ).
cnf(c_7881,plain,
member(sK8(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_1086,c_3139,c_3246,c_3437,c_4150,c_4573,c_4908,c_5060,c_5102,c_5145,c_5167,c_5195,c_5736,c_5758,c_7081,c_7728,c_7836]) ).
cnf(c_7968,plain,
member(sK8(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_7833,c_7881]) ).
cnf(c_7985,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1537]) ).
cnf(c_8305,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_7985,c_1559,c_7985]) ).
cnf(c_8340,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6782,c_7044]) ).
cnf(c_8343,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_7016,c_7044]) ).
cnf(c_8347,plain,
( apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8343,c_5771]) ).
cnf(c_8350,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8340,c_5180]) ).
cnf(c_8386,plain,
member(sK7(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_8347,c_3437,c_4908,c_5060,c_5102,c_5180,c_5195,c_5736,c_5758,c_7394,c_8305,c_8350]) ).
cnf(c_8806,plain,
member(sK7(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_1273,c_3139,c_3246,c_3437,c_4150,c_4573,c_4908,c_5060,c_5102,c_5145,c_5167,c_5195,c_5736,c_5758,c_7394,c_8305,c_8350]) ).
cnf(c_8821,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1339,c_97]) ).
cnf(c_8827,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK9(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8821,c_5933,c_5359]) ).
cnf(c_8837,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_1427,c_97]) ).
cnf(c_8843,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK9(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8837,c_5933,c_5916]) ).
cnf(c_8881,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_3099,c_1328]) ).
cnf(c_8885,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_8881,c_1339,c_8881]) ).
cnf(c_8891,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_8885,c_97]) ).
cnf(c_8892,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_8885,c_96]) ).
cnf(c_8893,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8892,c_5582,c_5180]) ).
cnf(c_8896,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8891,c_5582,c_5180]) ).
cnf(c_9147,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_8893,c_97]) ).
cnf(c_9148,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_8893,c_96]) ).
cnf(c_9149,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9148,c_8386,c_7968]) ).
cnf(c_9152,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9147,c_8386,c_7968]) ).
cnf(c_9159,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_8896,c_97]) ).
cnf(c_9160,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_8896,c_96]) ).
cnf(c_9161,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9160,c_8386,c_7968]) ).
cnf(c_9164,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9159,c_8386,c_7968]) ).
cnf(c_9171,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9149,c_827]) ).
cnf(c_9177,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9171,c_5582,c_5180]) ).
cnf(c_9187,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9152,c_827]) ).
cnf(c_9193,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9187,c_5582,c_5180]) ).
cnf(c_9237,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_3099,c_1416]) ).
cnf(c_9241,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_9237,c_1427,c_9237]) ).
cnf(c_9247,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9241,c_97]) ).
cnf(c_9248,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9241,c_96]) ).
cnf(c_9249,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9248,c_5582,c_5771]) ).
cnf(c_9252,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9247,c_5582,c_5771]) ).
cnf(c_9471,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9249,c_97]) ).
cnf(c_9472,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9249,c_96]) ).
cnf(c_9473,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9472,c_8386,c_7968]) ).
cnf(c_9476,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9471,c_8386,c_7968]) ).
cnf(c_9483,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9252,c_97]) ).
cnf(c_9484,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9252,c_96]) ).
cnf(c_9485,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9484,c_8386,c_7968]) ).
cnf(c_9488,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9483,c_8386,c_7968]) ).
cnf(c_9495,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9473,c_827]) ).
cnf(c_9501,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9495,c_5582,c_5771]) ).
cnf(c_9511,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9476,c_827]) ).
cnf(c_9517,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9511,c_5582,c_5771]) ).
cnf(c_9527,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9485,c_827]) ).
cnf(c_9533,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9527,c_5582,c_5771]) ).
cnf(c_9543,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9488,c_827]) ).
cnf(c_9549,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9543,c_5582,c_5771]) ).
cnf(c_9575,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9473,c_9177]) ).
cnf(c_9576,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9575,c_5771]) ).
cnf(c_9769,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9476,c_9193]) ).
cnf(c_9771,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9769,c_5771]) ).
cnf(c_10241,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ member(sK5(sK12,sK10),sK10)
| ~ apply(sK11,X1,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X1,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9501,c_827]) ).
cnf(c_10258,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ apply(sK11,X1,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X1,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10241,c_5582]) ).
cnf(c_10308,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ member(sK5(sK12,sK10),sK10)
| ~ apply(sK11,X1,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X1,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_9517,c_827]) ).
cnf(c_10320,plain,
( ~ apply(sK11,X0,sK6(sK12,sK10))
| ~ apply(sK11,X1,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X1,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10308,c_5582]) ).
cnf(c_10358,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_8827,c_8896]) ).
cnf(c_10359,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(renaming,[status(thm)],[c_10358]) ).
cnf(c_10364,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10359,c_97]) ).
cnf(c_10365,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10359,c_96]) ).
cnf(c_10366,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10365,c_8806,c_7881]) ).
cnf(c_10369,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10364,c_8806,c_7881]) ).
cnf(c_10382,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9161,c_9533]) ).
cnf(c_10392,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10382,c_5180]) ).
cnf(c_10677,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10392,c_95]) ).
cnf(c_10678,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10677,c_5771,c_5180]) ).
cnf(c_10700,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9164,c_9549]) ).
cnf(c_10711,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10700,c_5180]) ).
cnf(c_10734,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10711,c_95]) ).
cnf(c_10735,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10734,c_5771,c_5180]) ).
cnf(c_10928,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_8843,c_9252]) ).
cnf(c_10929,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(renaming,[status(thm)],[c_10928]) ).
cnf(c_10934,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10929,c_97]) ).
cnf(c_10935,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10929,c_96]) ).
cnf(c_10936,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10935,c_8806,c_7881]) ).
cnf(c_10939,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10934,c_8806,c_7881]) ).
cnf(c_11116,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_10678,c_9576,c_10678]) ).
cnf(c_11132,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_10936,c_827]) ).
cnf(c_11138,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11132,c_5933,c_5916]) ).
cnf(c_11151,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_10735,c_9771,c_10735]) ).
cnf(c_11448,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_3099,c_1306]) ).
cnf(c_11452,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_11448,c_1317,c_11448]) ).
cnf(c_11464,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_3099,c_1394]) ).
cnf(c_11468,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_11464,c_1405,c_11464]) ).
cnf(c_11480,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_3099,c_1504]) ).
cnf(c_11484,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_11480,c_1515,c_11480]) ).
cnf(c_11616,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_10939,c_827]) ).
cnf(c_11622,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11616,c_5933,c_5916]) ).
cnf(c_12395,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_1515,c_11484]) ).
cnf(c_12396,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(renaming,[status(thm)],[c_12395]) ).
cnf(c_12629,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3099,c_1482]) ).
cnf(c_12660,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_12629,c_1493,c_12629]) ).
cnf(c_12661,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(renaming,[status(thm)],[c_12660]) ).
cnf(c_17538,plain,
( ~ member(sK3(X0,equivalence_class(X1,X2,sK12)),sK10)
| ~ member(X1,sK10)
| apply(sK11,X1,sK3(X0,equivalence_class(X1,X2,sK12)))
| member(X0,product(equivalence_class(X1,X2,sK12))) ),
inference(superposition,[status(thm)],[c_3770,c_97]) ).
cnf(c_17539,plain,
( ~ member(sK3(X0,equivalence_class(X1,X2,sK12)),sK10)
| ~ member(X1,sK10)
| apply(sK11,sK3(X0,equivalence_class(X1,X2,sK12)),X1)
| member(X0,product(equivalence_class(X1,X2,sK12))) ),
inference(superposition,[status(thm)],[c_3770,c_96]) ).
cnf(c_17683,plain,
( ~ member(sK3(X0,equivalence_class(X1,X2,sK12)),sK10)
| ~ apply(sK11,X3,X1)
| ~ member(X1,sK10)
| ~ member(X3,sK10)
| apply(sK11,X3,sK3(X0,equivalence_class(X1,X2,sK12)))
| member(X0,product(equivalence_class(X1,X2,sK12))) ),
inference(superposition,[status(thm)],[c_17538,c_827]) ).
cnf(c_17746,plain,
( ~ apply(sK11,X0,sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)))
| ~ member(sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(X0,sK10)
| member(X1,product(equivalence_class(sK6(sK12,sK10),X2,sK12)))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_17539,c_10320]) ).
cnf(c_17747,plain,
( ~ apply(sK11,X0,sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)))
| ~ member(sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(X0,sK10)
| member(X1,product(equivalence_class(sK6(sK12,sK10),X2,sK12)))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_17539,c_10258]) ).
cnf(c_17791,plain,
( ~ apply(sK11,X0,sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)))
| ~ member(sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)),sK10)
| ~ member(X0,sK10)
| member(X1,product(equivalence_class(sK6(sK12,sK10),X2,sK12)))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17747,c_5771]) ).
cnf(c_17798,plain,
( ~ apply(sK11,X0,sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)))
| ~ member(sK3(X1,equivalence_class(sK6(sK12,sK10),X2,sK12)),sK10)
| ~ member(X0,sK10)
| member(X1,product(equivalence_class(sK6(sK12,sK10),X2,sK12)))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X0,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17746,c_5771]) ).
cnf(c_21390,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10366,c_11138]) ).
cnf(c_21404,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21390,c_5359]) ).
cnf(c_21970,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_21404,c_95]) ).
cnf(c_21971,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21970,c_5916,c_5359]) ).
cnf(c_23678,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_21971,c_11116]) ).
cnf(c_23686,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_23678,c_12396]) ).
cnf(c_23722,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_23686,c_96]) ).
cnf(c_23723,plain,
apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_23722,c_8806,c_7881]) ).
cnf(c_23725,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_23723,c_95]) ).
cnf(c_23726,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23725,c_8806,c_7881]) ).
cnf(c_23788,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_10369,c_11622]) ).
cnf(c_23796,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23788,c_5359]) ).
cnf(c_25249,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_23796,c_95]) ).
cnf(c_25250,plain,
( ~ apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25249,c_5916,c_5359]) ).
cnf(c_25255,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_25250,c_9771,c_10735]) ).
cnf(c_25263,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_25255,c_12396]) ).
cnf(c_25330,plain,
apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(global_subsumption_just,[status(thm)],[c_17791,c_23723]) ).
cnf(c_25333,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_25330,c_95]) ).
cnf(c_25338,plain,
( ~ apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25333,c_8386,c_7968]) ).
cnf(c_25397,plain,
( ~ member(sK3(X0,equivalence_class(sK6(sK12,sK10),X1,sK12)),sK10)
| ~ apply(sK11,X2,sK6(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(X2,sK10)
| member(X0,product(equivalence_class(sK6(sK12,sK10),X1,sK12)))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X2,sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_17683,c_17798]) ).
cnf(c_25402,plain,
( ~ member(sK3(X0,equivalence_class(sK6(sK12,sK10),X1,sK12)),sK10)
| ~ apply(sK11,X2,sK6(sK12,sK10))
| ~ member(X2,sK10)
| member(X0,product(equivalence_class(sK6(sK12,sK10),X1,sK12)))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,X2,sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25397,c_5771]) ).
cnf(c_25848,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_25263,c_97]) ).
cnf(c_25850,plain,
apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_25848,c_8806,c_7881]) ).
cnf(c_25851,plain,
apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(backward_subsumption_resolution,[status(thm)],[c_23726,c_25850]) ).
cnf(c_26486,plain,
apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)),
inference(global_subsumption_just,[status(thm)],[c_25402,c_11151,c_12661,c_25851]) ).
cnf(c_26488,plain,
apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(backward_subsumption_resolution,[status(thm)],[c_25338,c_26486]) ).
cnf(c_26490,plain,
apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10)),
inference(backward_subsumption_resolution,[status(thm)],[c_11468,c_26488]) ).
cnf(c_26491,plain,
apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10)),
inference(backward_subsumption_resolution,[status(thm)],[c_11452,c_26488]) ).
cnf(c_26966,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26490,c_97]) ).
cnf(c_26967,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26490,c_96]) ).
cnf(c_26968,plain,
apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_26967,c_5582,c_5771]) ).
cnf(c_26969,plain,
apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_26966,c_5582,c_5771]) ).
cnf(c_26970,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26491,c_97]) ).
cnf(c_26971,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26491,c_96]) ).
cnf(c_26972,plain,
apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_26971,c_5582,c_5180]) ).
cnf(c_26973,plain,
apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_26970,c_5582,c_5180]) ).
cnf(c_27015,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26969,c_827]) ).
cnf(c_27021,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27015,c_5582,c_5771]) ).
cnf(c_27053,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26972,c_827]) ).
cnf(c_27062,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27053,c_5582,c_5180]) ).
cnf(c_27597,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26973,c_27021]) ).
cnf(c_27603,plain,
apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_27597,c_5180]) ).
cnf(c_27708,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_26968,c_27062]) ).
cnf(c_27712,plain,
apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_27708,c_5771]) ).
cnf(c_27722,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_27712,c_27603,c_25851,c_12661,c_5771,c_5180,c_5060]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET775+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:12:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.24/1.66 % SZS status Started for theBenchmark.p
% 7.24/1.66 % SZS status Theorem for theBenchmark.p
% 7.24/1.66
% 7.24/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.24/1.66
% 7.24/1.66 ------ iProver source info
% 7.24/1.66
% 7.24/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.24/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.24/1.66 git: non_committed_changes: false
% 7.24/1.66 git: last_make_outside_of_git: false
% 7.24/1.66
% 7.24/1.66 ------ Parsing...
% 7.24/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.24/1.66
% 7.24/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 7.24/1.66
% 7.24/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.24/1.66
% 7.24/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.24/1.66 ------ Proving...
% 7.24/1.66 ------ Problem Properties
% 7.24/1.66
% 7.24/1.66
% 7.24/1.66 clauses 82
% 7.24/1.66 conjectures 3
% 7.24/1.66 EPR 7
% 7.24/1.66 Horn 39
% 7.24/1.66 unary 4
% 7.24/1.66 binary 18
% 7.24/1.66 lits 227
% 7.24/1.66 lits eq 3
% 7.24/1.66 fd_pure 0
% 7.24/1.66 fd_pseudo 0
% 7.24/1.66 fd_cond 0
% 7.24/1.66 fd_pseudo_cond 2
% 7.24/1.66 AC symbols 0
% 7.24/1.66
% 7.24/1.66 ------ Schedule dynamic 5 is on
% 7.24/1.66
% 7.24/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.24/1.66
% 7.24/1.66
% 7.24/1.66 ------
% 7.24/1.66 Current options:
% 7.24/1.66 ------
% 7.24/1.66
% 7.24/1.66
% 7.24/1.66
% 7.24/1.66
% 7.24/1.66 ------ Proving...
% 7.24/1.66
% 7.24/1.66
% 7.24/1.66 % SZS status Theorem for theBenchmark.p
% 7.24/1.66
% 7.24/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.24/1.66
% 7.24/1.66
%------------------------------------------------------------------------------