TSTP Solution File: SET775+4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET775+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:01:29 EDT 2024
% Result : Theorem 9.88s 2.10s
% Output : CNFRefutation 9.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 11
% Syntax : Number of formulae : 450 ( 31 unt; 0 def)
% Number of atoms : 1676 ( 116 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1928 ( 702 ~;1024 |; 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 : 475 ( 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_1713,negated_conjecture,
( ~ apply(sK12,X0,X1)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,X0,X1) ),
inference(demodulation,[status(thm)],[c_97]) ).
cnf(c_1714,negated_conjecture,
( ~ apply(sK12,X0,X1)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK11,X1,X0) ),
inference(demodulation,[status(thm)],[c_96]) ).
cnf(c_1715,negated_conjecture,
( ~ apply(sK11,X0,X1)
| ~ apply(sK11,X1,X0)
| ~ member(X0,sK10)
| ~ member(X1,sK10)
| apply(sK12,X0,X1) ),
inference(demodulation,[status(thm)],[c_95]) ).
cnf(c_3098,plain,
( ~ apply(sK11,X0,X0)
| ~ member(X0,sK10)
| apply(sK12,X0,X0) ),
inference(superposition,[status(thm)],[c_847,c_1715]) ).
cnf(c_3102,plain,
( ~ member(X0,sK10)
| apply(sK12,X0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3098,c_847,c_3098]) ).
cnf(c_3142,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1042]) ).
cnf(c_3195,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_1714]) ).
cnf(c_3196,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_1713]) ).
cnf(c_3207,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_3195,c_1108,c_1119,c_3195]) ).
cnf(c_3216,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_3207,c_1715]) ).
cnf(c_3231,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3196,c_1053,c_1108,c_1119,c_3196,c_3216]) ).
cnf(c_3304,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_1714]) ).
cnf(c_3305,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_1713]) ).
cnf(c_3316,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_3304,c_1196,c_1207,c_3304]) ).
cnf(c_3325,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_3316,c_1715]) ).
cnf(c_3340,plain,
( member(sK5(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3305,c_1141,c_1196,c_1207,c_3305,c_3325]) ).
cnf(c_3354,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_1714]) ).
cnf(c_3355,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_1713]) ).
cnf(c_3366,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_3354,c_1284,c_1295,c_3354]) ).
cnf(c_3375,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_3366,c_1715]) ).
cnf(c_3390,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK9(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3355,c_1229,c_1284,c_1295,c_3355,c_3375]) ).
cnf(c_3404,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1064]) ).
cnf(c_3632,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK4(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1086]) ).
cnf(c_3725,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_4105,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3632,c_1053,c_1108,c_1119,c_3196,c_3216,c_3632]) ).
cnf(c_4224,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK4(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1097]) ).
cnf(c_4528,plain,
( member(sK4(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4224,c_1053,c_1108,c_1119,c_3196,c_3216,c_4224]) ).
cnf(c_4623,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1130]) ).
cnf(c_4794,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK5(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1174]) ).
cnf(c_4819,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK5(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1185]) ).
cnf(c_4859,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK6(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1262]) ).
cnf(c_4863,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4859,c_1229,c_1284,c_1295,c_3355,c_3375,c_4859]) ).
cnf(c_4884,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1152]) ).
cnf(c_5015,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_1715]) ).
cnf(c_5022,plain,
( ~ member(sK9(sK10,sK12),sK10)
| member(sK6(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1273]) ).
cnf(c_5026,plain,
( member(sK6(sK12,sK10),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5022,c_1229,c_1284,c_1295,c_3355,c_3375,c_5022]) ).
cnf(c_5084,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_3404,c_3231,c_3404]) ).
cnf(c_5090,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_5084,c_1714]) ).
cnf(c_5091,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_5084,c_1713]) ).
cnf(c_5100,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK4(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5090,c_1053,c_1108,c_1119,c_3196,c_3216,c_3632,c_4224,c_5090]) ).
cnf(c_5107,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_5100,c_1715]) ).
cnf(c_5120,plain,
member(sK4(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_5091,c_3142,c_3231,c_4105,c_4528,c_5091,c_5107]) ).
cnf(c_5137,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1218]) ).
cnf(c_5348,plain,
member(sK4(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_1108,c_3142,c_3231,c_4105,c_4528,c_5091,c_5107]) ).
cnf(c_5453,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_4884,c_3340,c_4884]) ).
cnf(c_5459,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_5453,c_1714]) ).
cnf(c_5460,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_5453,c_1713]) ).
cnf(c_5469,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK5(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5459,c_1141,c_1196,c_1207,c_3305,c_3325,c_4794,c_4819,c_5459]) ).
cnf(c_5476,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_5469,c_1715]) ).
cnf(c_5489,plain,
member(sK5(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_1207,c_1141,c_1196,c_1207,c_3305,c_3325,c_4623,c_4794,c_4819,c_5460,c_5476]) ).
cnf(c_5491,plain,
member(sK5(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_5460,c_5489]) ).
cnf(c_5586,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1240]) ).
cnf(c_5661,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5586,c_3390,c_5586]) ).
cnf(c_5667,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_5661,c_1714]) ).
cnf(c_5668,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_5661,c_1713]) ).
cnf(c_5677,plain,
( apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| member(sK6(sK12,sK10),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_5667,c_1229,c_1284,c_1295,c_3355,c_3375,c_4859,c_5022,c_5667]) ).
cnf(c_5684,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_5677,c_1715]) ).
cnf(c_5697,plain,
member(sK6(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_5668,c_3390,c_4863,c_5026,c_5137,c_5668,c_5684]) ).
cnf(c_6098,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1350]) ).
cnf(c_6246,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6098,c_1372,c_6098]) ).
cnf(c_6252,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_6246,c_1714]) ).
cnf(c_6253,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_6246,c_1713]) ).
cnf(c_6254,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6253,c_5491,c_5120]) ).
cnf(c_6257,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6252,c_5491,c_5120]) ).
cnf(c_6276,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_6257,c_827]) ).
cnf(c_6282,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_6276,c_5491,c_5120]) ).
cnf(c_6420,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1361]) ).
cnf(c_6654,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6420,c_1383,c_6420]) ).
cnf(c_6660,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_6654,c_1714]) ).
cnf(c_6661,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_6654,c_1713]) ).
cnf(c_6662,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6661,c_5491,c_5120]) ).
cnf(c_6665,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6660,c_5491,c_5120]) ).
cnf(c_6684,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_6665,c_827]) ).
cnf(c_6690,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_6684,c_5491,c_5120]) ).
cnf(c_6725,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1438]) ).
cnf(c_6729,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6725,c_1460,c_6725]) ).
cnf(c_6735,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_6729,c_1714]) ).
cnf(c_6736,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_6729,c_1713]) ).
cnf(c_6737,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6736,c_5491,c_5697]) ).
cnf(c_6740,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6735,c_5491,c_5697]) ).
cnf(c_6749,plain,
( ~ member(sK9(sK10,sK12),sK10)
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1449]) ).
cnf(c_6869,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_6737,c_827]) ).
cnf(c_6871,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_6869,c_5491,c_5697]) ).
cnf(c_6893,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_6749,c_1471,c_6749]) ).
cnf(c_6899,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_6893,c_1714]) ).
cnf(c_6900,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_6893,c_1713]) ).
cnf(c_6901,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6900,c_5491,c_5697]) ).
cnf(c_6904,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6899,c_5491,c_5697]) ).
cnf(c_6911,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_6901,c_827]) ).
cnf(c_6913,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_6911,c_5491,c_5697]) ).
cnf(c_7148,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6740,c_6282]) ).
cnf(c_7152,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7148,c_5697]) ).
cnf(c_7330,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6904,c_6690]) ).
cnf(c_7336,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7330,c_5697]) ).
cnf(c_7368,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1526]) ).
cnf(c_7558,plain,
member(sK6(sK12,sK10),sK10),
inference(global_subsumption_just,[status(thm)],[c_1229,c_3390,c_4863,c_5026,c_5137,c_5668,c_5684]) ).
cnf(c_7564,plain,
( member(sK8(sK10,sK12),sK10)
| ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_1548,c_1548,c_7368]) ).
cnf(c_7565,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(renaming,[status(thm)],[c_7564]) ).
cnf(c_7748,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6254,c_6871]) ).
cnf(c_7752,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6740,c_6871]) ).
cnf(c_7757,plain,
( apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7752,c_5697]) ).
cnf(c_7760,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK8(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7748,c_5120]) ).
cnf(c_7783,plain,
member(sK8(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_7757,c_3142,c_3231,c_3390,c_4105,c_4528,c_4863,c_5015,c_5026,c_5091,c_5107,c_5137,c_5668,c_5684,c_7152,c_7565,c_7760]) ).
cnf(c_7804,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK9(sK10,sK12),sK10)
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_3102,c_1537]) ).
cnf(c_8159,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_7804,c_1559,c_7804]) ).
cnf(c_8174,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6662,c_6913]) ).
cnf(c_8177,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(superposition,[status(thm)],[c_6904,c_6913]) ).
cnf(c_8181,plain,
( apply(sK11,sK6(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8177,c_5697]) ).
cnf(c_8184,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| member(sK7(sK10,sK12),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8174,c_5120]) ).
cnf(c_8211,plain,
member(sK7(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_8181,c_3390,c_4863,c_5015,c_5026,c_5120,c_5137,c_5668,c_5684,c_7336,c_8159,c_8184]) ).
cnf(c_8484,plain,
member(sK7(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_1559,c_3142,c_3231,c_3390,c_4105,c_4528,c_4863,c_5015,c_5026,c_5091,c_5107,c_5137,c_5668,c_5684,c_7336,c_8159,c_8184]) ).
cnf(c_8718,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_3102,c_1328]) ).
cnf(c_8722,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_8718,c_1339,c_8718]) ).
cnf(c_8728,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_8722,c_1714]) ).
cnf(c_8729,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_8722,c_1713]) ).
cnf(c_8730,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8729,c_5491,c_5120]) ).
cnf(c_8733,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8728,c_5491,c_5120]) ).
cnf(c_8981,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_8730,c_1714]) ).
cnf(c_8982,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_8730,c_1713]) ).
cnf(c_8983,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8982,c_8211,c_7783]) ).
cnf(c_8986,plain,
( apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8981,c_8211,c_7783]) ).
cnf(c_8993,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_8733,c_1714]) ).
cnf(c_8994,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_8733,c_1713]) ).
cnf(c_8995,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8994,c_8211,c_7783]) ).
cnf(c_8998,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8993,c_8211,c_7783]) ).
cnf(c_9037,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_8995,c_827]) ).
cnf(c_9043,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_9037,c_5491,c_5120]) ).
cnf(c_9053,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_8998,c_827]) ).
cnf(c_9059,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_9053,c_5491,c_5120]) ).
cnf(c_9071,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_3102,c_1416]) ).
cnf(c_9075,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_9071,c_1427,c_9071]) ).
cnf(c_9081,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_9075,c_1714]) ).
cnf(c_9082,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_9075,c_1713]) ).
cnf(c_9083,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9082,c_5491,c_5697]) ).
cnf(c_9086,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9081,c_5491,c_5697]) ).
cnf(c_9277,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_9083,c_1714]) ).
cnf(c_9278,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_9083,c_1713]) ).
cnf(c_9279,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9278,c_8211,c_7783]) ).
cnf(c_9282,plain,
( apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9277,c_8211,c_7783]) ).
cnf(c_9289,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_9086,c_1714]) ).
cnf(c_9290,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_9086,c_1713]) ).
cnf(c_9291,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9290,c_8211,c_7783]) ).
cnf(c_9294,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9289,c_8211,c_7783]) ).
cnf(c_9301,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_9279,c_827]) ).
cnf(c_9307,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_9301,c_5491,c_5697]) ).
cnf(c_9317,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_9282,c_827]) ).
cnf(c_9323,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_9317,c_5491,c_5697]) ).
cnf(c_9333,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_9291,c_827]) ).
cnf(c_9339,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_9333,c_5491,c_5697]) ).
cnf(c_9802,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_9291,c_9043]) ).
cnf(c_9803,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9802,c_5697]) ).
cnf(c_9822,plain,
( ~ apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_9803,c_1715]) ).
cnf(c_9823,plain,
( ~ apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9822,c_5697,c_5120]) ).
cnf(c_10097,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_9294,c_9059]) ).
cnf(c_10099,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10097,c_5697]) ).
cnf(c_10149,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_8983,c_9307]) ).
cnf(c_10157,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10149,c_5120]) ).
cnf(c_10202,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_10157,c_1715]) ).
cnf(c_10203,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_10202,c_5697,c_5120]) ).
cnf(c_10428,plain,
member(sK8(sK10,sK12),sK10),
inference(global_subsumption_just,[status(thm)],[c_1350,c_3142,c_3231,c_3390,c_4105,c_4528,c_4863,c_5015,c_5026,c_5091,c_5107,c_5137,c_5668,c_5684,c_7152,c_7565,c_7760]) ).
cnf(c_10590,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_8986,c_9323]) ).
cnf(c_10599,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10590,c_5120]) ).
cnf(c_10622,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_10599,c_1715]) ).
cnf(c_10623,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_10622,c_5697,c_5120]) ).
cnf(c_10644,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_9339,c_827]) ).
cnf(c_10663,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_10644,c_5491]) ).
cnf(c_11200,plain,
( apply(sK12,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_9823,c_9823,c_10157]) ).
cnf(c_11428,plain,
( apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_1328,c_8722]) ).
cnf(c_11434,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_11428,c_1714]) ).
cnf(c_11439,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11434,c_5489,c_5348]) ).
cnf(c_11477,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_11439,c_1713]) ).
cnf(c_11478,plain,
( apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11477,c_8484,c_10428]) ).
cnf(c_11587,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_10203,c_9803,c_10203]) ).
cnf(c_11607,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_10623,c_10099,c_10623]) ).
cnf(c_11640,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_3102,c_1306]) ).
cnf(c_11644,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_11640,c_1317,c_11640]) ).
cnf(c_11656,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_3102,c_1394]) ).
cnf(c_11660,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_11656,c_1405,c_11656]) ).
cnf(c_11769,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_11478,c_827]) ).
cnf(c_11775,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_11769,c_5489,c_5348]) ).
cnf(c_11803,plain,
( apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_1416,c_1427,c_9071]) ).
cnf(c_11809,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_11803,c_1714]) ).
cnf(c_11814,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11809,c_5489,c_7558]) ).
cnf(c_12037,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_3102,c_1504]) ).
cnf(c_12041,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_12037,c_1515,c_12037]) ).
cnf(c_12047,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_11607,c_12041]) ).
cnf(c_12990,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_3102,c_1482]) ).
cnf(c_12994,plain,
( ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(global_subsumption_just,[status(thm)],[c_12990,c_1493,c_12990]) ).
cnf(c_12995,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(renaming,[status(thm)],[c_12994]) ).
cnf(c_13393,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_11814,c_1713]) ).
cnf(c_13394,plain,
( apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13393,c_8484,c_10428]) ).
cnf(c_16087,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_3725,c_1714]) ).
cnf(c_16229,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_16087,c_10663]) ).
cnf(c_16273,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_16229,c_5697]) ).
cnf(c_16344,plain,
( ~ apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_1504,c_12041]) ).
cnf(c_21851,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_13394,c_11775]) ).
cnf(c_21852,plain,
( apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21851,c_7558]) ).
cnf(c_21871,plain,
( ~ apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK12,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_21852,c_1715]) ).
cnf(c_21872,plain,
( ~ apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK12,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21871,c_7558,c_5348]) ).
cnf(c_21896,plain,
( apply(sK12,sK6(sK12,sK10),sK4(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_21872,c_11200]) ).
cnf(c_21902,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_21896,c_1714]) ).
cnf(c_21904,plain,
( apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21902,c_7558,c_5348]) ).
cnf(c_22639,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_21904,c_1715]) ).
cnf(c_22640,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_22639,c_7558,c_5348]) ).
cnf(c_22649,plain,
( apply(sK12,sK4(sK12,sK10),sK6(sK12,sK10))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_22640,c_11587]) ).
cnf(c_22657,plain,
( apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12))
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_22649,c_16344]) ).
cnf(c_24644,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_22657,c_1713]) ).
cnf(c_24645,plain,
apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_24644,c_8484,c_10428]) ).
cnf(c_24647,plain,
( ~ apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_24645,c_1715]) ).
cnf(c_24648,plain,
( ~ apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24647,c_8484,c_10428]) ).
cnf(c_24656,plain,
apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)),
inference(global_subsumption_just,[status(thm)],[c_24648,c_12047,c_24648]) ).
cnf(c_24658,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_24656,c_1714]) ).
cnf(c_24660,plain,
apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_24658,c_8484,c_10428]) ).
cnf(c_24662,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_24660,c_1715]) ).
cnf(c_24663,plain,
apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_24662,c_8484,c_10428,c_24645]) ).
cnf(c_24907,plain,
apply(sK11,sK7(sK10,sK12),sK8(sK10,sK12)),
inference(global_subsumption_just,[status(thm)],[c_16273,c_24645]) ).
cnf(c_24910,plain,
( ~ apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_24907,c_1715]) ).
cnf(c_24915,plain,
( ~ apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12))
| apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24910,c_8211,c_7783]) ).
cnf(c_24950,plain,
apply(sK12,sK7(sK10,sK12),sK8(sK10,sK12)),
inference(global_subsumption_just,[status(thm)],[c_24915,c_24656]) ).
cnf(c_24952,plain,
( ~ member(sK8(sK10,sK12),sK10)
| ~ member(sK7(sK10,sK12),sK10)
| apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_24950,c_1714]) ).
cnf(c_24954,plain,
apply(sK11,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_24952,c_8211,c_7783]) ).
cnf(c_24956,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_24954,c_1715]) ).
cnf(c_24961,plain,
apply(sK12,sK8(sK10,sK12),sK7(sK10,sK12)),
inference(forward_subsumption_resolution,[status(thm)],[c_24956,c_8211,c_7783,c_24907]) ).
cnf(c_24991,plain,
apply(sK12,sK5(sK12,sK10),sK6(sK12,sK10)),
inference(backward_subsumption_resolution,[status(thm)],[c_11660,c_24961]) ).
cnf(c_24992,plain,
apply(sK12,sK4(sK12,sK10),sK5(sK12,sK10)),
inference(backward_subsumption_resolution,[status(thm)],[c_11644,c_24961]) ).
cnf(c_25514,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_24991,c_1714]) ).
cnf(c_25515,plain,
( ~ member(sK6(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_24991,c_1713]) ).
cnf(c_25516,plain,
apply(sK11,sK5(sK12,sK10),sK6(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_25515,c_5491,c_5697]) ).
cnf(c_25517,plain,
apply(sK11,sK6(sK12,sK10),sK5(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_25514,c_5491,c_5697]) ).
cnf(c_25518,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_24992,c_1714]) ).
cnf(c_25519,plain,
( ~ member(sK4(sK12,sK10),sK10)
| ~ member(sK5(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_24992,c_1713]) ).
cnf(c_25520,plain,
apply(sK11,sK4(sK12,sK10),sK5(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_25519,c_5491,c_5120]) ).
cnf(c_25521,plain,
apply(sK11,sK5(sK12,sK10),sK4(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_25518,c_5491,c_5120]) ).
cnf(c_25549,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_25516,c_827]) ).
cnf(c_25555,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK6(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25549,c_5491,c_5697]) ).
cnf(c_25664,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_25521,c_827]) ).
cnf(c_25671,plain,
( ~ apply(sK11,X0,sK5(sK12,sK10))
| ~ member(X0,sK10)
| apply(sK11,X0,sK4(sK12,sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25664,c_5491,c_5120]) ).
cnf(c_25714,plain,
( ~ member(sK4(sK12,sK10),sK10)
| apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_25520,c_25555]) ).
cnf(c_25719,plain,
apply(sK11,sK4(sK12,sK10),sK6(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_25714,c_5120]) ).
cnf(c_26256,plain,
( ~ member(sK6(sK12,sK10),sK10)
| apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10)) ),
inference(superposition,[status(thm)],[c_25517,c_25671]) ).
cnf(c_26260,plain,
apply(sK11,sK6(sK12,sK10),sK4(sK12,sK10)),
inference(forward_subsumption_resolution,[status(thm)],[c_26256,c_5697]) ).
cnf(c_26270,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_26260,c_25719,c_24663,c_12995,c_5697,c_5120,c_5015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET775+4 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.10 % Command : run_iprover %s %d THM
% 0.09/0.31 % Computer : n032.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Thu May 2 20:26:53 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.88/2.10 % SZS status Started for theBenchmark.p
% 9.88/2.10 % SZS status Theorem for theBenchmark.p
% 9.88/2.10
% 9.88/2.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.88/2.10
% 9.88/2.10 ------ iProver source info
% 9.88/2.10
% 9.88/2.10 git: date: 2024-05-02 19:28:25 +0000
% 9.88/2.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.88/2.10 git: non_committed_changes: false
% 9.88/2.10
% 9.88/2.10 ------ Parsing...
% 9.88/2.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.88/2.10
% 9.88/2.10 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 9.88/2.10
% 9.88/2.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.88/2.10
% 9.88/2.10 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.88/2.10 ------ Proving...
% 9.88/2.10 ------ Problem Properties
% 9.88/2.10
% 9.88/2.10
% 9.88/2.10 clauses 82
% 9.88/2.10 conjectures 3
% 9.88/2.10 EPR 7
% 9.88/2.10 Horn 39
% 9.88/2.10 unary 4
% 9.88/2.10 binary 18
% 9.88/2.10 lits 227
% 9.88/2.10 lits eq 3
% 9.88/2.10 fd_pure 0
% 9.88/2.10 fd_pseudo 0
% 9.88/2.10 fd_cond 0
% 9.88/2.10 fd_pseudo_cond 2
% 9.88/2.10 AC symbols 0
% 9.88/2.10
% 9.88/2.10 ------ Schedule dynamic 5 is on
% 9.88/2.10
% 9.88/2.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.88/2.10
% 9.88/2.10
% 9.88/2.10 ------
% 9.88/2.10 Current options:
% 9.88/2.10 ------
% 9.88/2.10
% 9.88/2.10
% 9.88/2.10
% 9.88/2.10
% 9.88/2.10 ------ Proving...
% 9.88/2.10
% 9.88/2.10
% 9.88/2.10 % SZS status Theorem for theBenchmark.p
% 9.88/2.10
% 9.88/2.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.88/2.11
% 9.88/2.11
%------------------------------------------------------------------------------