TSTP Solution File: SEU298+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 03:05:23 EDT 2024
% Result : Theorem 7.53s 1.68s
% Output : CNFRefutation 7.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( set_difference(X4,singleton(X0)) = X3
& in(X4,X1) )
& in(X3,powerset(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_27_3_1__finset_1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( set_difference(X4,singleton(X0)) = X3
& in(X4,X1) )
& in(X3,powerset(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f43,axiom,
! [X0,X1] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ( ! [X2,X3,X4] :
( ( ? [X6] :
( set_difference(X6,singleton(X0)) = X4
& in(X6,X1) )
& X2 = X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) )
& X2 = X3 )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
& X3 = X4
& in(X4,powerset(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_27_3_1__finset_1__1) ).
fof(f44,plain,
! [X0,X1] :
( ( element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ( ! [X2,X3,X4] :
( ( ? [X5] :
( set_difference(X5,singleton(X0)) = X4
& in(X5,X1) )
& X2 = X4
& ? [X6] :
( set_difference(X6,singleton(X0)) = X3
& in(X6,X1) )
& X2 = X3 )
=> X3 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( set_difference(X10,singleton(X0)) = X8
& in(X10,X1) )
& X8 = X9
& in(X9,powerset(X0)) ) ) ) ),
inference(rectify,[],[f43]) ).
fof(f49,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( ? [X4] :
( set_difference(X4,singleton(X0)) = X3
& in(X4,X1) )
& in(X3,powerset(X0)) ) )
& element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f50,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( ? [X4] :
( set_difference(X4,singleton(X0)) = X3
& in(X4,X1) )
& in(X3,powerset(X0)) ) )
& element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) ),
inference(flattening,[],[f49]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( set_difference(X10,singleton(X0)) = X8
& in(X10,X1) )
& X8 = X9
& in(X9,powerset(X0)) ) )
| ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X4
& in(X5,X1) )
& X2 = X4
& ? [X6] :
( set_difference(X6,singleton(X0)) = X3
& in(X6,X1) )
& X2 = X3 )
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( set_difference(X10,singleton(X0)) = X8
& in(X10,X1) )
& X8 = X9
& in(X9,powerset(X0)) ) )
| ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X4
& in(X5,X1) )
& X2 = X4
& ? [X6] :
( set_difference(X6,singleton(X0)) = X3
& in(X6,X1) )
& X2 = X3 )
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X4
& in(X5,X1) )
& X2 = X4
& ? [X6] :
( set_difference(X6,singleton(X0)) = X3
& in(X6,X1) )
& X2 = X3 )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( set_difference(X10,singleton(X0)) = X8
& in(X10,X1) )
& X8 = X9
& in(X9,powerset(X0)) ) )
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(definition_folding,[],[f74,f75]) ).
fof(f77,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( set_difference(X4,singleton(X0)) != X3
| ~ in(X4,X1) )
| ~ in(X3,powerset(X0))
| ~ in(X3,X2) )
& ( ( ? [X4] :
( set_difference(X4,singleton(X0)) = X3
& in(X4,X1) )
& in(X3,powerset(X0)) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f78,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( set_difference(X4,singleton(X0)) != X3
| ~ in(X4,X1) )
| ~ in(X3,powerset(X0))
| ~ in(X3,X2) )
& ( ( ? [X4] :
( set_difference(X4,singleton(X0)) = X3
& in(X4,X1) )
& in(X3,powerset(X0)) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( set_difference(X4,singleton(X0)) != X3
| ~ in(X4,X1) )
| ~ in(X3,powerset(X0))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) )
& in(X3,powerset(X0)) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
( ? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( set_difference(X4,singleton(X0)) != X3
| ~ in(X4,X1) )
| ~ in(X3,powerset(X0))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( set_difference(X5,singleton(X0)) = X3
& in(X5,X1) )
& in(X3,powerset(X0)) )
| in(X3,X2) ) )
& element(X1,powerset(powerset(succ(X0))))
& ordinal(X0) )
=> ( ! [X2] :
? [X3] :
( ( ! [X4] :
( set_difference(X4,singleton(sK1)) != X3
| ~ in(X4,sK2) )
| ~ in(X3,powerset(sK1))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( set_difference(X5,singleton(sK1)) = X3
& in(X5,sK2) )
& in(X3,powerset(sK1)) )
| in(X3,X2) ) )
& element(sK2,powerset(powerset(succ(sK1))))
& ordinal(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X2] :
( ? [X3] :
( ( ! [X4] :
( set_difference(X4,singleton(sK1)) != X3
| ~ in(X4,sK2) )
| ~ in(X3,powerset(sK1))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( set_difference(X5,singleton(sK1)) = X3
& in(X5,sK2) )
& in(X3,powerset(sK1)) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( set_difference(X4,singleton(sK1)) != sK3(X2)
| ~ in(X4,sK2) )
| ~ in(sK3(X2),powerset(sK1))
| ~ in(sK3(X2),X2) )
& ( ( ? [X5] :
( set_difference(X5,singleton(sK1)) = sK3(X2)
& in(X5,sK2) )
& in(sK3(X2),powerset(sK1)) )
| in(sK3(X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X2] :
( ? [X5] :
( set_difference(X5,singleton(sK1)) = sK3(X2)
& in(X5,sK2) )
=> ( sK3(X2) = set_difference(sK4(X2),singleton(sK1))
& in(sK4(X2),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ! [X2] :
( ( ! [X4] :
( set_difference(X4,singleton(sK1)) != sK3(X2)
| ~ in(X4,sK2) )
| ~ in(sK3(X2),powerset(sK1))
| ~ in(sK3(X2),X2) )
& ( ( sK3(X2) = set_difference(sK4(X2),singleton(sK1))
& in(sK4(X2),sK2)
& in(sK3(X2),powerset(sK1)) )
| in(sK3(X2),X2) ) )
& element(sK2,powerset(powerset(succ(sK1))))
& ordinal(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f79,f82,f81,f80]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X4
& in(X5,X1) )
& X2 = X4
& ? [X6] :
( set_difference(X6,singleton(X0)) = X3
& in(X6,X1) )
& X2 = X3 )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f75]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( set_difference(X5,singleton(X0)) = X4
& in(X5,X1) )
& X2 = X4
& ? [X6] :
( set_difference(X6,singleton(X0)) = X3
& in(X6,X1) )
& X2 = X3 )
=> ( sK22(X0,X1) != sK23(X0,X1)
& ? [X5] :
( set_difference(X5,singleton(X0)) = sK23(X0,X1)
& in(X5,X1) )
& sK21(X0,X1) = sK23(X0,X1)
& ? [X6] :
( set_difference(X6,singleton(X0)) = sK22(X0,X1)
& in(X6,X1) )
& sK21(X0,X1) = sK22(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1] :
( ? [X5] :
( set_difference(X5,singleton(X0)) = sK23(X0,X1)
& in(X5,X1) )
=> ( sK23(X0,X1) = set_difference(sK24(X0,X1),singleton(X0))
& in(sK24(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X6] :
( set_difference(X6,singleton(X0)) = sK22(X0,X1)
& in(X6,X1) )
=> ( sK22(X0,X1) = set_difference(sK25(X0,X1),singleton(X0))
& in(sK25(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0,X1] :
( ( sK22(X0,X1) != sK23(X0,X1)
& sK23(X0,X1) = set_difference(sK24(X0,X1),singleton(X0))
& in(sK24(X0,X1),X1)
& sK21(X0,X1) = sK23(X0,X1)
& sK22(X0,X1) = set_difference(sK25(X0,X1),singleton(X0))
& in(sK25(X0,X1),X1)
& sK21(X0,X1) = sK22(X0,X1) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25])],[f116,f119,f118,f117]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( ( in(X8,X7)
| ! [X9] :
( ! [X10] :
( set_difference(X10,singleton(X0)) != X8
| ~ in(X10,X1) )
| X8 != X9
| ~ in(X9,powerset(X0)) ) )
& ( ? [X9] :
( ? [X10] :
( set_difference(X10,singleton(X0)) = X8
& in(X10,X1) )
& X8 = X9
& in(X9,powerset(X0)) )
| ~ in(X8,X7) ) )
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f122,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ! [X5] :
( set_difference(X5,singleton(X0)) != X3
| ~ in(X5,X1) )
| X3 != X4
| ~ in(X4,powerset(X0)) ) )
& ( ? [X6] :
( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
& X3 = X6
& in(X6,powerset(X0)) )
| ~ in(X3,X2) ) )
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ! [X5] :
( set_difference(X5,singleton(X0)) != X3
| ~ in(X5,X1) )
| X3 != X4
| ~ in(X4,powerset(X0)) ) )
& ( ? [X6] :
( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
& X3 = X6
& in(X6,powerset(X0)) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK26(X0,X1))
| ! [X4] :
( ! [X5] :
( set_difference(X5,singleton(X0)) != X3
| ~ in(X5,X1) )
| X3 != X4
| ~ in(X4,powerset(X0)) ) )
& ( ? [X6] :
( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
& X3 = X6
& in(X6,powerset(X0)) )
| ~ in(X3,sK26(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X3] :
( ? [X6] :
( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
& X3 = X6
& in(X6,powerset(X0)) )
=> ( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
& sK27(X0,X1,X3) = X3
& in(sK27(X0,X1,X3),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1,X3] :
( ? [X7] :
( set_difference(X7,singleton(X0)) = X3
& in(X7,X1) )
=> ( set_difference(sK28(X0,X1,X3),singleton(X0)) = X3
& in(sK28(X0,X1,X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK26(X0,X1))
| ! [X4] :
( ! [X5] :
( set_difference(X5,singleton(X0)) != X3
| ~ in(X5,X1) )
| X3 != X4
| ~ in(X4,powerset(X0)) ) )
& ( ( set_difference(sK28(X0,X1,X3),singleton(X0)) = X3
& in(sK28(X0,X1,X3),X1)
& sK27(X0,X1,X3) = X3
& in(sK27(X0,X1,X3),powerset(X0)) )
| ~ in(X3,sK26(X0,X1)) ) )
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28])],[f122,f125,f124,f123]) ).
fof(f127,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
element(sK2,powerset(powerset(succ(sK1)))),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
! [X2] :
( in(sK3(X2),powerset(sK1))
| in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
! [X2] :
( in(sK4(X2),sK2)
| in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
! [X2] :
( sK3(X2) = set_difference(sK4(X2),singleton(sK1))
| in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X2,X4] :
( set_difference(X4,singleton(sK1)) != sK3(X2)
| ~ in(X4,sK2)
| ~ in(sK3(X2),powerset(sK1))
| ~ in(sK3(X2),X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f218,plain,
! [X0,X1] :
( sK21(X0,X1) = sK22(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f221,plain,
! [X0,X1] :
( sK21(X0,X1) = sK23(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f224,plain,
! [X0,X1] :
( sK22(X0,X1) != sK23(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f225,plain,
! [X3,X0,X1] :
( in(sK27(X0,X1,X3),powerset(X0))
| ~ in(X3,sK26(X0,X1))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f226,plain,
! [X3,X0,X1] :
( sK27(X0,X1,X3) = X3
| ~ in(X3,sK26(X0,X1))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f227,plain,
! [X3,X0,X1] :
( in(sK28(X0,X1,X3),X1)
| ~ in(X3,sK26(X0,X1))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f228,plain,
! [X3,X0,X1] :
( set_difference(sK28(X0,X1,X3),singleton(X0)) = X3
| ~ in(X3,sK26(X0,X1))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f229,plain,
! [X3,X0,X1,X4,X5] :
( in(X3,sK26(X0,X1))
| set_difference(X5,singleton(X0)) != X3
| ~ in(X5,X1)
| X3 != X4
| ~ in(X4,powerset(X0))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f230,plain,
! [X0,X1,X4,X5] :
( in(set_difference(X5,singleton(X0)),sK26(X0,X1))
| ~ in(X5,X1)
| set_difference(X5,singleton(X0)) != X4
| ~ in(X4,powerset(X0))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(equality_resolution,[],[f229]) ).
fof(f231,plain,
! [X0,X1,X5] :
( in(set_difference(X5,singleton(X0)),sK26(X0,X1))
| ~ in(X5,X1)
| ~ in(set_difference(X5,singleton(X0)),powerset(X0))
| sP0(X0,X1)
| ~ element(X1,powerset(powerset(succ(X0))))
| ~ ordinal(X0) ),
inference(equality_resolution,[],[f230]) ).
cnf(c_49,negated_conjecture,
( set_difference(X0,singleton(sK1)) != sK3(X1)
| ~ in(sK3(X1),powerset(sK1))
| ~ in(sK3(X1),X1)
| ~ in(X0,sK2) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_50,negated_conjecture,
( set_difference(sK4(X0),singleton(sK1)) = sK3(X0)
| in(sK3(X0),X0) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_51,negated_conjecture,
( in(sK3(X0),X0)
| in(sK4(X0),sK2) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_52,negated_conjecture,
( in(sK3(X0),powerset(sK1))
| in(sK3(X0),X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_53,negated_conjecture,
element(sK2,powerset(powerset(succ(sK1)))),
inference(cnf_transformation,[],[f128]) ).
cnf(c_54,negated_conjecture,
ordinal(sK1),
inference(cnf_transformation,[],[f127]) ).
cnf(c_137,plain,
( sK22(X0,X1) != sK23(X0,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_140,plain,
( ~ sP0(X0,X1)
| sK23(X0,X1) = sK21(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_143,plain,
( ~ sP0(X0,X1)
| sK22(X0,X1) = sK21(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_144,plain,
( ~ in(set_difference(X0,singleton(X1)),powerset(X1))
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ in(X0,X2)
| ~ ordinal(X1)
| in(set_difference(X0,singleton(X1)),sK26(X1,X2))
| sP0(X1,X2) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_145,plain,
( ~ element(X0,powerset(powerset(succ(X1))))
| ~ in(X2,sK26(X1,X0))
| ~ ordinal(X1)
| set_difference(sK28(X1,X0,X2),singleton(X1)) = X2
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_146,plain,
( ~ element(X0,powerset(powerset(succ(X1))))
| ~ in(X2,sK26(X1,X0))
| ~ ordinal(X1)
| in(sK28(X1,X0,X2),X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_147,plain,
( ~ element(X0,powerset(powerset(succ(X1))))
| ~ in(X2,sK26(X1,X0))
| ~ ordinal(X1)
| sK27(X1,X0,X2) = X2
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f226]) ).
cnf(c_148,plain,
( ~ element(X0,powerset(powerset(succ(X1))))
| ~ in(X2,sK26(X1,X0))
| ~ ordinal(X1)
| in(sK27(X1,X0,X2),powerset(X1))
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_4082,plain,
succ(sK1) = sP0_iProver_def,
definition ).
cnf(c_4083,plain,
powerset(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_4084,plain,
powerset(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_4085,plain,
powerset(sK1) = sP3_iProver_def,
definition ).
cnf(c_4086,plain,
singleton(sK1) = sP4_iProver_def,
definition ).
cnf(c_4087,negated_conjecture,
ordinal(sK1),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_4088,negated_conjecture,
element(sK2,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_53,c_4082,c_4083,c_4084]) ).
cnf(c_4089,negated_conjecture,
( in(sK3(X0),X0)
| in(sK3(X0),sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_52,c_4085]) ).
cnf(c_4090,negated_conjecture,
( in(sK3(X0),X0)
| in(sK4(X0),sK2) ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_4091,negated_conjecture,
( set_difference(sK4(X0),sP4_iProver_def) = sK3(X0)
| in(sK3(X0),X0) ),
inference(demodulation,[status(thm)],[c_50,c_4086]) ).
cnf(c_4092,negated_conjecture,
( set_difference(X0,sP4_iProver_def) != sK3(X1)
| ~ in(sK3(X1),X1)
| ~ in(sK3(X1),sP3_iProver_def)
| ~ in(X0,sK2) ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_4887,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,powerset(powerset(sP0_iProver_def)))
| ~ ordinal(sK1)
| in(sK28(sK1,X1,X0),X1)
| sP0(sK1,X1) ),
inference(superposition,[status(thm)],[c_4082,c_146]) ).
cnf(c_4888,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| ~ ordinal(sK1)
| in(sK28(sK1,X1,X0),X1)
| sP0(sK1,X1) ),
inference(light_normalisation,[status(thm)],[c_4887,c_4083,c_4084]) ).
cnf(c_4889,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| in(sK28(sK1,X1,X0),X1)
| sP0(sK1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4888,c_4087]) ).
cnf(c_4953,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,powerset(powerset(sP0_iProver_def)))
| ~ ordinal(sK1)
| sK27(sK1,X1,X0) = X0
| sP0(sK1,X1) ),
inference(superposition,[status(thm)],[c_4082,c_147]) ).
cnf(c_4954,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| ~ ordinal(sK1)
| sK27(sK1,X1,X0) = X0
| sP0(sK1,X1) ),
inference(light_normalisation,[status(thm)],[c_4953,c_4083,c_4084]) ).
cnf(c_4955,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| sK27(sK1,X1,X0) = X0
| sP0(sK1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4954,c_4087]) ).
cnf(c_4991,plain,
( ~ element(X0,sP2_iProver_def)
| sK27(sK1,X0,sK3(sK26(sK1,X0))) = sK3(sK26(sK1,X0))
| set_difference(sK4(sK26(sK1,X0)),sP4_iProver_def) = sK3(sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_4091,c_4955]) ).
cnf(c_5072,plain,
( ~ element(X0,powerset(powerset(succ(sK1))))
| ~ in(X1,sK26(sK1,X0))
| ~ ordinal(sK1)
| in(sK27(sK1,X0,X1),sP3_iProver_def)
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_4085,c_148]) ).
cnf(c_5086,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| ~ ordinal(sK1)
| in(sK27(sK1,X1,X0),sP3_iProver_def)
| sP0(sK1,X1) ),
inference(light_normalisation,[status(thm)],[c_5072,c_4082,c_4083,c_4084]) ).
cnf(c_5087,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| in(sK27(sK1,X1,X0),sP3_iProver_def)
| sP0(sK1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5086,c_4087]) ).
cnf(c_5121,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,powerset(powerset(sP0_iProver_def)))
| ~ ordinal(sK1)
| set_difference(sK28(sK1,X1,X0),singleton(sK1)) = X0
| sP0(sK1,X1) ),
inference(superposition,[status(thm)],[c_4082,c_145]) ).
cnf(c_5122,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| ~ ordinal(sK1)
| set_difference(sK28(sK1,X1,X0),sP4_iProver_def) = X0
| sP0(sK1,X1) ),
inference(light_normalisation,[status(thm)],[c_5121,c_4083,c_4084,c_4086]) ).
cnf(c_5123,plain,
( ~ in(X0,sK26(sK1,X1))
| ~ element(X1,sP2_iProver_def)
| set_difference(sK28(sK1,X1,X0),sP4_iProver_def) = X0
| sP0(sK1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5122,c_4087]) ).
cnf(c_5169,plain,
( ~ in(set_difference(X0,singleton(sK1)),powerset(sK1))
| ~ element(X1,powerset(powerset(succ(sK1))))
| ~ in(X0,X1)
| ~ ordinal(sK1)
| in(set_difference(X0,sP4_iProver_def),sK26(sK1,X1))
| sP0(sK1,X1) ),
inference(superposition,[status(thm)],[c_4086,c_144]) ).
cnf(c_5172,plain,
( ~ in(set_difference(X0,sP4_iProver_def),sP3_iProver_def)
| ~ in(X0,X1)
| ~ element(X1,sP2_iProver_def)
| ~ ordinal(sK1)
| in(set_difference(X0,sP4_iProver_def),sK26(sK1,X1))
| sP0(sK1,X1) ),
inference(light_normalisation,[status(thm)],[c_5169,c_4082,c_4083,c_4084,c_4085,c_4086]) ).
cnf(c_5173,plain,
( ~ in(set_difference(X0,sP4_iProver_def),sP3_iProver_def)
| ~ in(X0,X1)
| ~ element(X1,sP2_iProver_def)
| in(set_difference(X0,sP4_iProver_def),sK26(sK1,X1))
| sP0(sK1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5172,c_4087]) ).
cnf(c_5262,plain,
( ~ element(X0,sP2_iProver_def)
| set_difference(sK28(sK1,X0,sK3(sK26(sK1,X0))),sP4_iProver_def) = sK3(sK26(sK1,X0))
| set_difference(sK4(sK26(sK1,X0)),sP4_iProver_def) = sK3(sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_4091,c_5123]) ).
cnf(c_5404,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4088,c_4991]) ).
cnf(c_5436,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5404,c_143]) ).
cnf(c_5437,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5404,c_140]) ).
cnf(c_5462,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4088,c_5262]) ).
cnf(c_5503,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5462,c_143]) ).
cnf(c_5504,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5462,c_140]) ).
cnf(c_5527,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5436,c_5087]) ).
cnf(c_5528,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5527,c_4088]) ).
cnf(c_5660,plain,
( set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5528,c_143,c_4089]) ).
cnf(c_5724,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5437,c_5087]) ).
cnf(c_5725,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5724,c_4088]) ).
cnf(c_5880,plain,
( set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5725,c_140,c_4089]) ).
cnf(c_6894,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5503,c_4092]) ).
cnf(c_7240,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(equality_resolution,[status(thm)],[c_6894]) ).
cnf(c_7273,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_5504,c_4092]) ).
cnf(c_7430,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(equality_resolution,[status(thm)],[c_7273]) ).
cnf(c_14348,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7240,c_5660,c_4091]) ).
cnf(c_14352,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4889,c_14348]) ).
cnf(c_14353,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14352,c_4088]) ).
cnf(c_14362,plain,
( set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14353,c_143,c_4091]) ).
cnf(c_14375,plain,
( ~ in(set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),X0)
| ~ element(X0,sP2_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_14362,c_5173]) ).
cnf(c_14376,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_14362,c_4092]) ).
cnf(c_14506,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(equality_resolution,[status(thm)],[c_14376]) ).
cnf(c_14516,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7430,c_5880,c_4091]) ).
cnf(c_14520,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4889,c_14516]) ).
cnf(c_14521,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14520,c_4088]) ).
cnf(c_14591,plain,
( set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14521,c_140,c_4091]) ).
cnf(c_14605,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_14591,c_4092]) ).
cnf(c_14697,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(equality_resolution,[status(thm)],[c_14605]) ).
cnf(c_14726,plain,
( ~ in(sK4(sK26(sK1,sK2)),X0)
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ element(X0,sP2_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_14362,c_14375]) ).
cnf(c_14768,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| ~ element(sK2,sP2_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_14726,c_14506]) ).
cnf(c_14781,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14768,c_4088]) ).
cnf(c_15033,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14781,c_143]) ).
cnf(c_15037,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_4090,c_15033]) ).
cnf(c_15060,plain,
( sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15037,c_4089]) ).
cnf(c_15064,plain,
( ~ element(sK2,sP2_iProver_def)
| set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15060,c_5123]) ).
cnf(c_15065,plain,
( ~ element(sK2,sP2_iProver_def)
| sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15060,c_4955]) ).
cnf(c_15069,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15065,c_4088]) ).
cnf(c_15073,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15064,c_4088]) ).
cnf(c_15103,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15069,c_143]) ).
cnf(c_15109,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15103,c_5087]) ).
cnf(c_15110,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15109,c_4088]) ).
cnf(c_15127,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15073,c_143]) ).
cnf(c_15141,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15127,c_4092]) ).
cnf(c_15241,plain,
( sK22(sK1,sK2) = sK21(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15110,c_143,c_4089]) ).
cnf(c_15297,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(equality_resolution,[status(thm)],[c_15141]) ).
cnf(c_15548,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_15297,c_15037,c_15297]) ).
cnf(c_15553,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| sK22(sK1,sK2) = sK21(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15548,c_15241]) ).
cnf(c_15556,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4889,c_15553]) ).
cnf(c_15557,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| sK22(sK1,sK2) = sK21(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15556,c_4088]) ).
cnf(c_15564,plain,
sK22(sK1,sK2) = sK21(sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_15557,c_143,c_15060]) ).
cnf(c_15573,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| sK22(sK1,sK2) = sK23(sK1,sK2) ),
inference(demodulation,[status(thm)],[c_14697,c_15564]) ).
cnf(c_15575,plain,
( set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2) ),
inference(demodulation,[status(thm)],[c_14591,c_15564]) ).
cnf(c_15603,plain,
( ~ in(set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),X0)
| ~ element(X0,sP2_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_15575,c_5173]) ).
cnf(c_15934,plain,
( ~ in(sK4(sK26(sK1,sK2)),X0)
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ element(X0,sP2_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_15575,c_15603]) ).
cnf(c_16417,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| ~ element(sK2,sP2_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_15934,c_15573]) ).
cnf(c_16430,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16417,c_4088]) ).
cnf(c_16643,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4090,c_16430]) ).
cnf(c_16664,plain,
( sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16643,c_4089]) ).
cnf(c_16669,plain,
( ~ element(sK2,sP2_iProver_def)
| set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_16664,c_5123]) ).
cnf(c_16670,plain,
( ~ element(sK2,sP2_iProver_def)
| sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_16664,c_4955]) ).
cnf(c_16677,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16670,c_4088]) ).
cnf(c_16681,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16669,c_4088]) ).
cnf(c_16709,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_16677,c_140]) ).
cnf(c_16710,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2) ),
inference(light_normalisation,[status(thm)],[c_16709,c_15564]) ).
cnf(c_16722,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_16681,c_140]) ).
cnf(c_16723,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2) ),
inference(light_normalisation,[status(thm)],[c_16722,c_15564]) ).
cnf(c_16741,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_16710,c_5087]) ).
cnf(c_16742,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16741,c_4088]) ).
cnf(c_16807,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2) ),
inference(superposition,[status(thm)],[c_16723,c_4092]) ).
cnf(c_17004,plain,
( sK22(sK1,sK2) = sK23(sK1,sK2)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16742,c_4089]) ).
cnf(c_17095,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2) ),
inference(equality_resolution,[status(thm)],[c_16807]) ).
cnf(c_17108,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ element(sK2,sP2_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4889,c_17095]) ).
cnf(c_17109,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17108,c_4088]) ).
cnf(c_17114,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_17109,c_16643,c_17109]) ).
cnf(c_17119,plain,
( sK22(sK1,sK2) = sK23(sK1,sK2)
| sP0(sK1,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17114,c_17004]) ).
cnf(c_17125,plain,
( sK22(sK1,sK2) = sK23(sK1,sK2)
| sK23(sK1,sK2) = sK21(sK1,sK2) ),
inference(superposition,[status(thm)],[c_17119,c_140]) ).
cnf(c_17126,plain,
sK22(sK1,sK2) = sK23(sK1,sK2),
inference(light_normalisation,[status(thm)],[c_17125,c_15564]) ).
cnf(c_17185,plain,
~ sP0(sK1,sK2),
inference(superposition,[status(thm)],[c_17126,c_137]) ).
cnf(c_17186,plain,
( set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5462,c_17185]) ).
cnf(c_17187,plain,
( sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5404,c_17185]) ).
cnf(c_17199,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_17187,c_5087]) ).
cnf(c_17200,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17199,c_17185,c_4088]) ).
cnf(c_17227,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_17186,c_4092]) ).
cnf(c_17313,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(equality_resolution,[status(thm)],[c_17227]) ).
cnf(c_17425,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_17313,c_17200,c_17313]) ).
cnf(c_17426,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(renaming,[status(thm)],[c_17425]) ).
cnf(c_17430,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17426,c_4091]) ).
cnf(c_17433,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4889,c_17430]) ).
cnf(c_17434,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17433,c_17185,c_4088]) ).
cnf(c_17439,plain,
set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def) = sK3(sK26(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_17434,c_4091]) ).
cnf(c_17455,plain,
( ~ in(set_difference(sK4(sK26(sK1,sK2)),sP4_iProver_def),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),X0)
| ~ element(X0,sP2_iProver_def)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(superposition,[status(thm)],[c_17439,c_5173]) ).
cnf(c_17456,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_17439,c_4092]) ).
cnf(c_17462,plain,
( ~ in(sK4(sK26(sK1,sK2)),X0)
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ element(X0,sP2_iProver_def)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,X0))
| sP0(sK1,X0) ),
inference(light_normalisation,[status(thm)],[c_17455,c_17439]) ).
cnf(c_17539,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2) ),
inference(equality_resolution,[status(thm)],[c_17456]) ).
cnf(c_17575,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2)
| ~ element(sK2,sP2_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_17462,c_17539]) ).
cnf(c_17588,plain,
( ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| ~ in(sK4(sK26(sK1,sK2)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17575,c_17185,c_4088]) ).
cnf(c_17665,plain,
( ~ in(sK4(sK26(sK1,sK2)),sK2)
| in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_4089,c_17588]) ).
cnf(c_17678,plain,
in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_17665,c_4090]) ).
cnf(c_17680,plain,
( ~ element(sK2,sP2_iProver_def)
| set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_17678,c_5123]) ).
cnf(c_17681,plain,
( ~ element(sK2,sP2_iProver_def)
| sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2))
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_17678,c_4955]) ).
cnf(c_17682,plain,
sK27(sK1,sK2,sK3(sK26(sK1,sK2))) = sK3(sK26(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_17681,c_17185,c_4088]) ).
cnf(c_17683,plain,
set_difference(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sP4_iProver_def) = sK3(sK26(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_17680,c_17185,c_4088]) ).
cnf(c_17687,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| in(sK3(sK26(sK1,sK2)),sP3_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_17682,c_5087]) ).
cnf(c_17688,plain,
in(sK3(sK26(sK1,sK2)),sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_17687,c_17185,c_4088,c_17678]) ).
cnf(c_17718,plain,
( sK3(sK26(sK1,sK2)) != sK3(X0)
| ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(X0),X0)
| ~ in(sK3(X0),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_17683,c_4092]) ).
cnf(c_17807,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def) ),
inference(equality_resolution,[status(thm)],[c_17718]) ).
cnf(c_17808,plain,
( ~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2)
| ~ in(sK3(sK26(sK1,sK2)),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17807,c_17678]) ).
cnf(c_17932,plain,
~ in(sK28(sK1,sK2,sK3(sK26(sK1,sK2))),sK2),
inference(global_subsumption_just,[status(thm)],[c_17808,c_17688,c_17808]) ).
cnf(c_17934,plain,
( ~ in(sK3(sK26(sK1,sK2)),sK26(sK1,sK2))
| ~ element(sK2,sP2_iProver_def)
| sP0(sK1,sK2) ),
inference(superposition,[status(thm)],[c_4889,c_17932]) ).
cnf(c_17935,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17934,c_17185,c_4088,c_17678]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 17:52:50 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.53/1.68 % SZS status Started for theBenchmark.p
% 7.53/1.68 % SZS status Theorem for theBenchmark.p
% 7.53/1.68
% 7.53/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.53/1.68
% 7.53/1.68 ------ iProver source info
% 7.53/1.68
% 7.53/1.68 git: date: 2024-05-02 19:28:25 +0000
% 7.53/1.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.53/1.68 git: non_committed_changes: false
% 7.53/1.68
% 7.53/1.68 ------ Parsing...
% 7.53/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.53/1.68
% 7.53/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 31 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e
% 7.53/1.68
% 7.53/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.53/1.68
% 7.53/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.53/1.68 ------ Proving...
% 7.53/1.68 ------ Problem Properties
% 7.53/1.68
% 7.53/1.68
% 7.53/1.68 clauses 52
% 7.53/1.68 conjectures 6
% 7.53/1.68 EPR 18
% 7.53/1.68 Horn 42
% 7.53/1.68 unary 28
% 7.53/1.68 binary 17
% 7.53/1.68 lits 95
% 7.53/1.68 lits eq 14
% 7.53/1.68 fd_pure 0
% 7.53/1.68 fd_pseudo 0
% 7.53/1.68 fd_cond 0
% 7.53/1.68 fd_pseudo_cond 0
% 7.53/1.68 AC symbols 0
% 7.53/1.68
% 7.53/1.68 ------ Schedule dynamic 5 is on
% 7.53/1.68
% 7.53/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.53/1.68
% 7.53/1.68
% 7.53/1.68 ------
% 7.53/1.68 Current options:
% 7.53/1.68 ------
% 7.53/1.68
% 7.53/1.68
% 7.53/1.68
% 7.53/1.68
% 7.53/1.68 ------ Proving...
% 7.53/1.68
% 7.53/1.68
% 7.53/1.68 % SZS status Theorem for theBenchmark.p
% 7.53/1.68
% 7.53/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.53/1.69
% 7.53/1.69
%------------------------------------------------------------------------------