TSTP Solution File: NUM542+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:31:19 EDT 2023
% Result : Theorem 9.26s 2.17s
% Output : CNFRefutation 9.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 228 ( 23 unt; 0 def)
% Number of atoms : 971 ( 40 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1203 ( 460 ~; 475 |; 198 &)
% ( 36 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 285 ( 0 sgn; 177 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f28,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szszuzczcdt0(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f33,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessSucc) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f53,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(f54,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1964) ).
fof(f55,conjecture,
( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
=> aElementOf0(X0,slbdtrb0(xn)) )
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(xm,xn)
=> ( ( ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> ( ( ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xn)) )
=> ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
=> aElementOf0(X0,slbdtrb0(xn)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
=> aElementOf0(X0,slbdtrb0(xn)) )
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(xm,xn)
=> ( ( ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xm)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> ( ( ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),xn)
& aElementOf0(X0,szNzAzT0) ) )
& aSet0(slbdtrb0(xn)) )
=> ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
=> aElementOf0(X0,slbdtrb0(xn)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f55]) ).
fof(f63,plain,
~ ( ( ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
=> aElementOf0(X0,slbdtrb0(xn)) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> sdtlseqdt0(xm,xn) )
& ( sdtlseqdt0(xm,xn)
=> ( ( ! [X3] :
( aElementOf0(X3,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
& aElementOf0(X3,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
=> ( ( ! [X4] :
( aElementOf0(X4,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
& aElementOf0(X4,szNzAzT0) ) )
& aSet0(slbdtrb0(xn)) )
=> ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ! [X5] :
( aElementOf0(X5,slbdtrb0(xm))
=> aElementOf0(X5,slbdtrb0(xn)) ) ) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f94,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f99,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f109,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f111,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f110]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f131,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f132,plain,
! [X0,X1] :
( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
<=> ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1)) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
( ( ~ sdtlseqdt0(xm,xn)
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
| ~ aElementOf0(X0,slbdtrb0(xm)) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
| ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ? [X5] :
( ~ aElementOf0(X5,slbdtrb0(xn))
& aElementOf0(X5,slbdtrb0(xm)) )
& ! [X4] :
( aElementOf0(X4,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
& aElementOf0(X4,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X3] :
( aElementOf0(X3,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
& aElementOf0(X3,szNzAzT0) ) )
& aSet0(slbdtrb0(xm))
& sdtlseqdt0(xm,xn) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f134,plain,
( ( ~ sdtlseqdt0(xm,xn)
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
| ~ aElementOf0(X0,slbdtrb0(xm)) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X2] :
( aElementOf0(X2,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(slbdtrb0(xm)) )
| ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ? [X5] :
( ~ aElementOf0(X5,slbdtrb0(xn))
& aElementOf0(X5,slbdtrb0(xm)) )
& ! [X4] :
( aElementOf0(X4,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
& aElementOf0(X4,szNzAzT0) ) )
& aSet0(slbdtrb0(xn))
& ! [X3] :
( aElementOf0(X3,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
& aElementOf0(X3,szNzAzT0) ) )
& aSet0(slbdtrb0(xm))
& sdtlseqdt0(xm,xn) ) ),
inference(flattening,[],[f133]) ).
fof(f141,plain,
( ! [X3] :
( aElementOf0(X3,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X3),xm)
& aElementOf0(X3,szNzAzT0) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f142,plain,
( ! [X4] :
( aElementOf0(X4,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X4),xn)
& aElementOf0(X4,szNzAzT0) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f143,plain,
( ! [X2] :
( aElementOf0(X2,slbdtrb0(xm))
<=> ( sdtlseqdt0(szszuzczcdt0(X2),xm)
& aElementOf0(X2,szNzAzT0) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f144,plain,
( ! [X1] :
( aElementOf0(X1,slbdtrb0(xn))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f145,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ? [X5] :
( ~ aElementOf0(X5,slbdtrb0(xn))
& aElementOf0(X5,slbdtrb0(xm)) )
& sP5
& aSet0(slbdtrb0(xn))
& sP4
& aSet0(slbdtrb0(xm))
& sdtlseqdt0(xm,xn) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f146,plain,
( ( ~ sdtlseqdt0(xm,xn)
& aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
| ~ aElementOf0(X0,slbdtrb0(xm)) )
& sP7
& aSet0(slbdtrb0(xn))
& sP6
& aSet0(slbdtrb0(xm)) )
| sP8 ),
inference(definition_folding,[],[f134,f145,f144,f143,f142,f141]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f154,f155]) ).
fof(f171,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f187]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
| ~ aElementOf0(sK17(X0,X1),szNzAzT0)
| ~ aElementOf0(sK17(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
& aElementOf0(sK17(X0,X1),szNzAzT0) )
| aElementOf0(sK17(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
| ~ aElementOf0(sK17(X0,X1),szNzAzT0)
| ~ aElementOf0(sK17(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK17(X0,X1)),X0)
& aElementOf0(sK17(X0,X1),szNzAzT0) )
| aElementOf0(sK17(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f188,f189]) ).
fof(f191,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f132]) ).
fof(f192,plain,
! [X0,X1] :
( ( ( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ( X0 != X1
& ~ aElementOf0(X0,slbdtrb0(X1)) ) )
& ( X0 = X1
| aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ? [X5] :
( ~ aElementOf0(X5,slbdtrb0(xn))
& aElementOf0(X5,slbdtrb0(xm)) )
& sP5
& aSet0(slbdtrb0(xn))
& sP4
& aSet0(slbdtrb0(xm))
& sdtlseqdt0(xm,xn) )
| ~ sP8 ),
inference(nnf_transformation,[],[f145]) ).
fof(f194,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ? [X0] :
( ~ aElementOf0(X0,slbdtrb0(xn))
& aElementOf0(X0,slbdtrb0(xm)) )
& sP5
& aSet0(slbdtrb0(xn))
& sP4
& aSet0(slbdtrb0(xm))
& sdtlseqdt0(xm,xn) )
| ~ sP8 ),
inference(rectify,[],[f193]) ).
fof(f195,plain,
( ? [X0] :
( ~ aElementOf0(X0,slbdtrb0(xn))
& aElementOf0(X0,slbdtrb0(xm)) )
=> ( ~ aElementOf0(sK18,slbdtrb0(xn))
& aElementOf0(sK18,slbdtrb0(xm)) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
& ~ aElementOf0(sK18,slbdtrb0(xn))
& aElementOf0(sK18,slbdtrb0(xm))
& sP5
& aSet0(slbdtrb0(xn))
& sP4
& aSet0(slbdtrb0(xm))
& sdtlseqdt0(xm,xn) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f194,f195]) ).
fof(f197,plain,
( ! [X1] :
( ( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(xn)) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f144]) ).
fof(f198,plain,
( ! [X1] :
( ( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X1),xn)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(xn)) ) )
| ~ sP7 ),
inference(flattening,[],[f197]) ).
fof(f199,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X0),xn)
& aElementOf0(X0,szNzAzT0) )
| ~ aElementOf0(X0,slbdtrb0(xn)) ) )
| ~ sP7 ),
inference(rectify,[],[f198]) ).
fof(f200,plain,
( ! [X2] :
( ( aElementOf0(X2,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),xm)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,slbdtrb0(xm)) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f143]) ).
fof(f201,plain,
( ! [X2] :
( ( aElementOf0(X2,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X2),xm)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),xm)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,slbdtrb0(xm)) ) )
| ~ sP6 ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X0),xm)
& aElementOf0(X0,szNzAzT0) )
| ~ aElementOf0(X0,slbdtrb0(xm)) ) )
| ~ sP6 ),
inference(rectify,[],[f201]) ).
fof(f203,plain,
( ! [X4] :
( ( aElementOf0(X4,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X4),xn)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X4),xn)
& aElementOf0(X4,szNzAzT0) )
| ~ aElementOf0(X4,slbdtrb0(xn)) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f142]) ).
fof(f204,plain,
( ! [X4] :
( ( aElementOf0(X4,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X4),xn)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X4),xn)
& aElementOf0(X4,szNzAzT0) )
| ~ aElementOf0(X4,slbdtrb0(xn)) ) )
| ~ sP5 ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X0),xn)
& aElementOf0(X0,szNzAzT0) )
| ~ aElementOf0(X0,slbdtrb0(xn)) ) )
| ~ sP5 ),
inference(rectify,[],[f204]) ).
fof(f206,plain,
( ! [X3] :
( ( aElementOf0(X3,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X3),xm)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),xm)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,slbdtrb0(xm)) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f141]) ).
fof(f207,plain,
( ! [X3] :
( ( aElementOf0(X3,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X3),xm)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),xm)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,slbdtrb0(xm)) ) )
| ~ sP4 ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
( ! [X0] :
( ( aElementOf0(X0,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X0),xm)
& aElementOf0(X0,szNzAzT0) )
| ~ aElementOf0(X0,slbdtrb0(xm)) ) )
| ~ sP4 ),
inference(rectify,[],[f207]) ).
fof(f216,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f217,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f218,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK10(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f219,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK10(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f257,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f262,plain,
! [X0] :
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f266,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f267,plain,
! [X0] :
( sdtlseqdt0(X0,szszuzczcdt0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f269,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f270,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f271,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f291,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f292,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f293,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f301,plain,
! [X0,X1] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f303,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f304,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f305,plain,
( sdtlseqdt0(xm,xn)
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f306,plain,
( aSet0(slbdtrb0(xm))
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f307,plain,
( sP4
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f308,plain,
( aSet0(slbdtrb0(xn))
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f309,plain,
( sP5
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f310,plain,
( aElementOf0(sK18,slbdtrb0(xm))
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f311,plain,
( ~ aElementOf0(sK18,slbdtrb0(xn))
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f312,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sP8 ),
inference(cnf_transformation,[],[f196]) ).
fof(f313,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP7 ),
inference(cnf_transformation,[],[f199]) ).
fof(f314,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP7 ),
inference(cnf_transformation,[],[f199]) ).
fof(f315,plain,
! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP7 ),
inference(cnf_transformation,[],[f199]) ).
fof(f316,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xm))
| ~ sP6 ),
inference(cnf_transformation,[],[f202]) ).
fof(f318,plain,
! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP6 ),
inference(cnf_transformation,[],[f202]) ).
fof(f319,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP5 ),
inference(cnf_transformation,[],[f205]) ).
fof(f320,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP5 ),
inference(cnf_transformation,[],[f205]) ).
fof(f321,plain,
! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP5 ),
inference(cnf_transformation,[],[f205]) ).
fof(f322,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xm))
| ~ sP4 ),
inference(cnf_transformation,[],[f208]) ).
fof(f324,plain,
! [X0] :
( aElementOf0(X0,slbdtrb0(xm))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4 ),
inference(cnf_transformation,[],[f208]) ).
fof(f325,plain,
( aSet0(slbdtrb0(xm))
| sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f326,plain,
( sP6
| sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f327,plain,
( aSet0(slbdtrb0(xn))
| sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f328,plain,
( sP7
| sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f329,plain,
! [X0] :
( aElementOf0(X0,slbdtrb0(xn))
| ~ aElementOf0(X0,slbdtrb0(xm))
| sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f331,plain,
( ~ sdtlseqdt0(xm,xn)
| sP8 ),
inference(cnf_transformation,[],[f146]) ).
fof(f345,plain,
! [X3,X0] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f293]) ).
fof(f346,plain,
! [X3,X0] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f292]) ).
fof(f347,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f291]) ).
cnf(c_56,plain,
( ~ aElementOf0(sK10(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_57,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK10(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_102,plain,
( szszuzczcdt0(X0) != X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_105,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_107,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_109,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_110,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_111,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_135,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1) ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_136,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f346]) ).
cnf(c_137,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_141,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_143,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f304]) ).
cnf(c_144,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f303]) ).
cnf(c_145,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sP8 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_146,plain,
( ~ aElementOf0(sK18,slbdtrb0(xn))
| ~ sP8 ),
inference(cnf_transformation,[],[f311]) ).
cnf(c_147,plain,
( ~ sP8
| aElementOf0(sK18,slbdtrb0(xm)) ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_148,plain,
( ~ sP8
| sP5 ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_149,plain,
( ~ sP8
| aSet0(slbdtrb0(xn)) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_150,plain,
( ~ sP8
| sP4 ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_151,plain,
( ~ sP8
| aSet0(slbdtrb0(xm)) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_152,plain,
( ~ sP8
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_153,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP7
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_154,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP7
| sdtlseqdt0(szszuzczcdt0(X0),xn) ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_155,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP7
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_156,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP6
| aElementOf0(X0,slbdtrb0(xm)) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_158,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ sP6
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_159,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP5
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_160,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP5
| sdtlseqdt0(szszuzczcdt0(X0),xn) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_161,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| ~ sP5
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_162,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sP4
| aElementOf0(X0,slbdtrb0(xm)) ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_164,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| ~ sP4
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_165,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| sP8 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_167,negated_conjecture,
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,slbdtrb0(xn))
| sP8 ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_168,negated_conjecture,
( sP8
| sP7 ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_169,negated_conjecture,
( aSet0(slbdtrb0(xn))
| sP8 ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_170,negated_conjecture,
( sP8
| sP6 ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_171,negated_conjecture,
( aSet0(slbdtrb0(xm))
| sP8 ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_250,negated_conjecture,
aSet0(slbdtrb0(xm)),
inference(global_subsumption_just,[status(thm)],[c_171,c_171,c_151]) ).
cnf(c_252,negated_conjecture,
aSet0(slbdtrb0(xn)),
inference(global_subsumption_just,[status(thm)],[c_169,c_169,c_149]) ).
cnf(c_254,plain,
aSet0(slbdtrb0(xm)),
inference(global_subsumption_just,[status(thm)],[c_151,c_250]) ).
cnf(c_256,plain,
aSet0(slbdtrb0(xn)),
inference(global_subsumption_just,[status(thm)],[c_149,c_252]) ).
cnf(c_262,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_164,c_170,c_150,c_164,c_158]) ).
cnf(c_265,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| aElementOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_168,c_148,c_161,c_155]) ).
cnf(c_275,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X0),xn) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_168,c_148,c_160,c_154]) ).
cnf(c_282,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| aElementOf0(X0,slbdtrb0(xm)) ),
inference(global_subsumption_just,[status(thm)],[c_162,c_170,c_150,c_162,c_156]) ).
cnf(c_283,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xm)) ),
inference(renaming,[status(thm)],[c_282]) ).
cnf(c_285,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(global_subsumption_just,[status(thm)],[c_159,c_168,c_148,c_159,c_153]) ).
cnf(c_286,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(renaming,[status(thm)],[c_285]) ).
cnf(c_288,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| aElementOf0(X0,slbdtrb0(xm)) ),
inference(global_subsumption_just,[status(thm)],[c_156,c_283]) ).
cnf(c_289,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xm)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xm)) ),
inference(renaming,[status(thm)],[c_288]) ).
cnf(c_290,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(global_subsumption_just,[status(thm)],[c_153,c_286]) ).
cnf(c_291,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn)) ),
inference(renaming,[status(thm)],[c_290]) ).
cnf(c_292,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_136,c_141]) ).
cnf(c_4957,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xn)) ),
inference(prop_impl_just,[status(thm)],[c_265]) ).
cnf(c_4958,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| aElementOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_4957]) ).
cnf(c_4959,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(xm)) ),
inference(prop_impl_just,[status(thm)],[c_262]) ).
cnf(c_4960,plain,
( ~ aElementOf0(X0,slbdtrb0(xm))
| aElementOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_4959]) ).
cnf(c_4971,plain,
( sdtlseqdt0(szszuzczcdt0(X0),xn)
| ~ aElementOf0(X0,slbdtrb0(xn)) ),
inference(prop_impl_just,[status(thm)],[c_275]) ).
cnf(c_4972,plain,
( ~ aElementOf0(X0,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(X0),xn) ),
inference(renaming,[status(thm)],[c_4971]) ).
cnf(c_11613,plain,
( ~ sP8
| aElementOf0(sK18,szNzAzT0) ),
inference(superposition,[status(thm)],[c_147,c_4960]) ).
cnf(c_12507,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_12616,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(superposition,[status(thm)],[c_292,c_135]) ).
cnf(c_12654,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(slbdtrb0(X0))
| ~ aSet0(X1)
| sdtlseqdt0(szszuzczcdt0(sK10(X1,slbdtrb0(X0))),X0)
| aSubsetOf0(slbdtrb0(X0),X1) ),
inference(superposition,[status(thm)],[c_57,c_135]) ).
cnf(c_12657,plain,
( ~ aSet0(slbdtrb0(xn))
| ~ aSet0(X0)
| aElementOf0(sK10(X0,slbdtrb0(xn)),szNzAzT0)
| aSubsetOf0(slbdtrb0(xn),X0) ),
inference(superposition,[status(thm)],[c_57,c_4958]) ).
cnf(c_12696,plain,
( ~ aSet0(X0)
| aElementOf0(sK10(X0,slbdtrb0(xn)),szNzAzT0)
| aSubsetOf0(slbdtrb0(xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12657,c_256]) ).
cnf(c_12747,plain,
( szszuzczcdt0(xn) != xn
| ~ aElementOf0(xn,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_12750,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(xn,szszuzczcdt0(xn)) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_12761,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(sK10(X2,X0),X1)
| aSubsetOf0(X0,X2) ),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_12870,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_13275,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12616,c_98]) ).
cnf(c_13522,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(xn),X0)
| sdtlseqdt0(X0,xn) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_13545,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn))
| sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_111,c_291]) ).
cnf(c_13552,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(xn))
| sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13545,c_143]) ).
cnf(c_13699,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| sdtlseqdt0(szszuzczcdt0(sK10(X1,slbdtrb0(X0))),X0)
| aSubsetOf0(slbdtrb0(X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_12654,c_137,c_12654]) ).
cnf(c_13712,plain,
( ~ aElementOf0(sK10(X0,slbdtrb0(xn)),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(sK10(X0,slbdtrb0(xn)),slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xn),X0) ),
inference(superposition,[status(thm)],[c_13699,c_291]) ).
cnf(c_13726,plain,
( ~ aElementOf0(sK10(X0,slbdtrb0(xn)),szNzAzT0)
| ~ aSet0(X0)
| aElementOf0(sK10(X0,slbdtrb0(xn)),slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xn),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13712,c_143]) ).
cnf(c_14527,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_13275,c_105]) ).
cnf(c_16655,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xn),xn)
| ~ sdtlseqdt0(xn,szszuzczcdt0(xn))
| ~ aElementOf0(xn,szNzAzT0)
| szszuzczcdt0(xn) = xn ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_17193,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xn,xm)
| ~ sP8
| xn = xm ),
inference(superposition,[status(thm)],[c_152,c_109]) ).
cnf(c_17229,plain,
( ~ sdtlseqdt0(xn,xm)
| ~ sP8
| xn = xm ),
inference(forward_subsumption_resolution,[status(thm)],[c_17193,c_144,c_143]) ).
cnf(c_18380,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(sK10(X2,X0),X1)
| aSubsetOf0(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_12761,c_59,c_12761]) ).
cnf(c_18412,plain,
( ~ aSubsetOf0(X0,slbdtrb0(xm))
| ~ aSet0(slbdtrb0(xm))
| ~ aSet0(X1)
| aElementOf0(sK10(X1,X0),slbdtrb0(xn))
| aSubsetOf0(X0,X1)
| sP8 ),
inference(superposition,[status(thm)],[c_18380,c_167]) ).
cnf(c_18472,plain,
( ~ aSubsetOf0(X0,slbdtrb0(xm))
| ~ aSet0(X1)
| aElementOf0(sK10(X1,X0),slbdtrb0(xn))
| aSubsetOf0(X0,X1)
| sP8 ),
inference(forward_subsumption_resolution,[status(thm)],[c_18412,c_254]) ).
cnf(c_19258,plain,
( ~ aSubsetOf0(X0,slbdtrb0(xm))
| ~ aSet0(X1)
| sdtlseqdt0(szszuzczcdt0(sK10(X1,X0)),xn)
| aSubsetOf0(X0,X1)
| sP8 ),
inference(superposition,[status(thm)],[c_18472,c_4972]) ).
cnf(c_20547,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(instantiation,[status(thm)],[c_13522]) ).
cnf(c_20587,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,xn)
| sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_143,c_110]) ).
cnf(c_21472,plain,
( ~ aElementOf0(xn,slbdtrb0(xn))
| sdtlseqdt0(szszuzczcdt0(xn),xn) ),
inference(instantiation,[status(thm)],[c_4972]) ).
cnf(c_21480,plain,
( ~ aElementOf0(xn,slbdtrb0(xm))
| aElementOf0(xn,slbdtrb0(xn))
| sP8 ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_21486,plain,
sP8,
inference(global_subsumption_just,[status(thm)],[c_19258,c_144,c_143,c_165,c_12507,c_12747,c_12750,c_12870,c_16655,c_20547,c_21472,c_21480]) ).
cnf(c_21488,plain,
( ~ sdtlseqdt0(xn,xm)
| xn = xm ),
inference(backward_subsumption_resolution,[status(thm)],[c_17229,c_21486]) ).
cnf(c_21499,plain,
aElementOf0(sK18,szNzAzT0),
inference(backward_subsumption_resolution,[status(thm)],[c_11613,c_21486]) ).
cnf(c_21500,plain,
sdtlseqdt0(xm,xn),
inference(backward_subsumption_resolution,[status(thm)],[c_152,c_21486]) ).
cnf(c_21501,plain,
aElementOf0(sK18,slbdtrb0(xm)),
inference(backward_subsumption_resolution,[status(thm)],[c_147,c_21486]) ).
cnf(c_21502,plain,
~ aElementOf0(sK18,slbdtrb0(xn)),
inference(backward_subsumption_resolution,[status(thm)],[c_146,c_21486]) ).
cnf(c_21503,plain,
~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
inference(backward_subsumption_resolution,[status(thm)],[c_145,c_21486]) ).
cnf(c_23387,plain,
( ~ aElementOf0(sK18,szNzAzT0)
| sdtlseqdt0(xn,sK18) ),
inference(superposition,[status(thm)],[c_13552,c_21502]) ).
cnf(c_23390,plain,
sdtlseqdt0(xn,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_23387,c_21499]) ).
cnf(c_23460,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(sK18,szNzAzT0)
| ~ sdtlseqdt0(sK18,xn)
| xn = sK18 ),
inference(superposition,[status(thm)],[c_23390,c_109]) ).
cnf(c_23461,plain,
( ~ sdtlseqdt0(sK18,xn)
| xn = sK18 ),
inference(forward_subsumption_resolution,[status(thm)],[c_23460,c_21499,c_143]) ).
cnf(c_24862,plain,
( ~ aSet0(X0)
| aElementOf0(sK10(X0,slbdtrb0(xn)),slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xn),X0) ),
inference(global_subsumption_just,[status(thm)],[c_13726,c_12696,c_13726]) ).
cnf(c_24874,plain,
( ~ aSet0(slbdtrb0(xn))
| aSubsetOf0(slbdtrb0(xn),slbdtrb0(xn)) ),
inference(superposition,[status(thm)],[c_24862,c_56]) ).
cnf(c_24880,plain,
aSubsetOf0(slbdtrb0(xn),slbdtrb0(xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_24874,c_256]) ).
cnf(c_26416,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_14527,c_136,c_14527]) ).
cnf(c_26440,plain,
( ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(sK18,xm) ),
inference(superposition,[status(thm)],[c_21501,c_26416]) ).
cnf(c_26451,plain,
sdtlseqdt0(sK18,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_26440,c_144]) ).
cnf(c_36215,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(X0,xn) ),
inference(superposition,[status(thm)],[c_144,c_20587]) ).
cnf(c_36244,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| sdtlseqdt0(X0,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36215,c_21500]) ).
cnf(c_37033,plain,
( ~ sdtlseqdt0(sK18,xm)
| sdtlseqdt0(sK18,xn) ),
inference(superposition,[status(thm)],[c_21499,c_36244]) ).
cnf(c_37057,plain,
sdtlseqdt0(sK18,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_37033,c_26451]) ).
cnf(c_37215,plain,
xn = sK18,
inference(backward_subsumption_resolution,[status(thm)],[c_23461,c_37057]) ).
cnf(c_37246,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm)],[c_26451,c_37215]) ).
cnf(c_37278,plain,
xn = xm,
inference(backward_subsumption_resolution,[status(thm)],[c_21488,c_37246]) ).
cnf(c_37356,plain,
~ aSubsetOf0(slbdtrb0(xn),slbdtrb0(xn)),
inference(demodulation,[status(thm)],[c_21503,c_37278]) ).
cnf(c_37403,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_37356,c_24880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM542+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 16:39:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.26/2.17 % SZS status Started for theBenchmark.p
% 9.26/2.17 % SZS status Theorem for theBenchmark.p
% 9.26/2.17
% 9.26/2.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.26/2.17
% 9.26/2.17 ------ iProver source info
% 9.26/2.17
% 9.26/2.17 git: date: 2023-05-31 18:12:56 +0000
% 9.26/2.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.26/2.17 git: non_committed_changes: false
% 9.26/2.17 git: last_make_outside_of_git: false
% 9.26/2.17
% 9.26/2.17 ------ Parsing...
% 9.26/2.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.26/2.17
% 9.26/2.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 9.26/2.17
% 9.26/2.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.26/2.17
% 9.26/2.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.26/2.17 ------ Proving...
% 9.26/2.17 ------ Problem Properties
% 9.26/2.17
% 9.26/2.17
% 9.26/2.17 clauses 109
% 9.26/2.17 conjectures 3
% 9.26/2.17 EPR 33
% 9.26/2.17 Horn 80
% 9.26/2.17 unary 13
% 9.26/2.17 binary 25
% 9.26/2.17 lits 347
% 9.26/2.17 lits eq 46
% 9.26/2.17 fd_pure 0
% 9.26/2.17 fd_pseudo 0
% 9.26/2.17 fd_cond 8
% 9.26/2.17 fd_pseudo_cond 15
% 9.26/2.17 AC symbols 0
% 9.26/2.17
% 9.26/2.17 ------ Schedule dynamic 5 is on
% 9.26/2.17
% 9.26/2.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.26/2.17
% 9.26/2.17
% 9.26/2.17 ------
% 9.26/2.17 Current options:
% 9.26/2.17 ------
% 9.26/2.17
% 9.26/2.17
% 9.26/2.17
% 9.26/2.17
% 9.26/2.17 ------ Proving...
% 9.26/2.17
% 9.26/2.17
% 9.26/2.17 % SZS status Theorem for theBenchmark.p
% 9.26/2.17
% 9.26/2.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.26/2.17
% 9.26/2.18
%------------------------------------------------------------------------------