TSTP Solution File: NUM592+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 11:31:42 EDT 2023
% Result : Theorem 16.67s 3.04s
% Output : CNFRefutation 16.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 395 ( 63 equ)
% Maximal formula atoms : 21 ( 7 avg)
% Number of connectives : 477 ( 138 ~; 114 |; 187 &)
% ( 9 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn; 76 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).
fof(f93,axiom,
( ! [X0] :
( ( ( aElementOf0(X0,slbdtsldtrb0(xX,xk))
| ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xX)
| ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xX) ) ) ) )
& aSet0(X0) )
=> xu = sdtlpdtrp0(xd,X0) )
& isCountable0(xX)
& aSubsetOf0(xX,xY)
& ! [X0] :
( aElementOf0(X0,xX)
=> aElementOf0(X0,xY) )
& aSet0(xX)
& aElementOf0(xu,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4545) ).
fof(f94,conjecture,
? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(X1) ) ) ) ) )
& aElementOf0(X0,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f95,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(X1) ) ) ) ) )
& aElementOf0(X0,xT) ),
inference(negated_conjecture,[],[f94]) ).
fof(f111,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f91]) ).
fof(f113,plain,
( ! [X0] :
( ( ( aElementOf0(X0,slbdtsldtrb0(xX,xk))
| ( sbrdtbr0(X0) = xk
& ( aSubsetOf0(X0,xX)
| ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xX) ) ) ) )
& aSet0(X0) )
=> xu = sdtlpdtrp0(xd,X0) )
& isCountable0(xX)
& aSubsetOf0(xX,xY)
& ! [X2] :
( aElementOf0(X2,xX)
=> aElementOf0(X2,xY) )
& aSet0(xX)
& aElementOf0(xu,xT) ),
inference(rectify,[],[f93]) ).
fof(f114,plain,
~ ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& ( ( ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
=> ( ( ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X5
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& aElement0(X5) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
=> ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( ! [X6] :
( aElementOf0(X6,X1)
=> aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(X1) ) ) ) ) )
& aElementOf0(X0,xT) ),
inference(rectify,[],[f95]) ).
fof(f233,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f111]) ).
fof(f236,plain,
( ! [X0] :
( xu = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
& ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xX)
& ? [X1] :
( ~ aElementOf0(X1,xX)
& aElementOf0(X1,X0) ) ) ) )
| ~ aSet0(X0) )
& isCountable0(xX)
& aSubsetOf0(xX,xY)
& ! [X2] :
( aElementOf0(X2,xY)
| ~ aElementOf0(X2,xX) )
& aSet0(xX)
& aElementOf0(xu,xT) ),
inference(ennf_transformation,[],[f113]) ).
fof(f237,plain,
( ! [X0] :
( xu = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
& ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xX)
& ? [X1] :
( ~ aElementOf0(X1,xX)
& aElementOf0(X1,X0) ) ) ) )
| ~ aSet0(X0) )
& isCountable0(xX)
& aSubsetOf0(xX,xY)
& ! [X2] :
( aElementOf0(X2,xY)
| ~ aElementOf0(X2,xX) )
& aSet0(xX)
& aElementOf0(xu,xT) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ? [X6] :
( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(X6,X1) )
| ~ aSet0(X1) )
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X5
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& aElement0(X5) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ) )
| ~ aElementOf0(X0,xT) ),
inference(ennf_transformation,[],[f114]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ? [X6] :
( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(X6,X1) )
| ~ aSet0(X1) )
& ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X5
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& aElement0(X5) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ) )
| ~ aElementOf0(X0,xT) ),
inference(flattening,[],[f238]) ).
fof(f269,plain,
( ! [X5] :
( aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X5
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& aElement0(X5) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f270,plain,
! [X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ? [X6] :
( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(X6,X1) )
| ~ aSet0(X1) )
& sP22
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
| ~ sP23(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ isCountable0(X1)
| sP23(X1) )
| ~ aElementOf0(X0,xT) ),
inference(definition_folding,[],[f239,f270,f269]) ).
fof(f431,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( ( aElementOf0(X0,xY)
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) )
| ~ aElementOf0(X0,xY) ) )
& aSet0(xY)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[],[f233]) ).
fof(f432,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( ( aElementOf0(X0,xY)
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) )
| ~ aElementOf0(X0,xY) ) )
& aSet0(xY)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(flattening,[],[f431]) ).
fof(f438,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,xX)
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK63(X0),xX)
& aElementOf0(sK63(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f439,plain,
( ! [X0] :
( xu = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
& ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xX)
& ~ aElementOf0(sK63(X0),xX)
& aElementOf0(sK63(X0),X0) ) ) )
| ~ aSet0(X0) )
& isCountable0(xX)
& aSubsetOf0(xX,xY)
& ! [X2] :
( aElementOf0(X2,xY)
| ~ aElementOf0(X2,xX) )
& aSet0(xX)
& aElementOf0(xu,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f237,f438]) ).
fof(f440,plain,
! [X1] :
( ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ? [X6] :
( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(X6,X1) )
| ~ aSet0(X1) )
& sP22
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
| ~ sP23(X1) ),
inference(nnf_transformation,[],[f270]) ).
fof(f441,plain,
! [X0] :
( ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ? [X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& sP22
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
| ~ sP23(X0) ),
inference(rectify,[],[f440]) ).
fof(f442,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(X1,X0) )
=> ( ~ aElementOf0(sK64(X0),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(sK64(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f443,plain,
! [X0] :
( ( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ( ~ aElementOf0(sK64(X0),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& aElementOf0(sK64(X0),X0) )
| ~ aSet0(X0) )
& sP22
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f441,f442]) ).
fof(f447,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK65(X0,X1)) != X0
& aElementOf0(sK65(X0,X1),slbdtsldtrb0(X1,xk))
& xk = sbrdtbr0(sK65(X0,X1))
& aSubsetOf0(sK65(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK65(X0,X1)) )
& aSet0(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f448,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK65(X0,X1)) != X0
& aElementOf0(sK65(X0,X1),slbdtsldtrb0(X1,xk))
& xk = sbrdtbr0(sK65(X0,X1))
& aSubsetOf0(sK65(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK65(X0,X1)) )
& aSet0(sK65(X0,X1)) )
| ~ isCountable0(X1)
| sP23(X1) )
| ~ aElementOf0(X0,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f271,f447]) ).
fof(f783,plain,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cnf_transformation,[],[f432]) ).
fof(f784,plain,
xd = sdtlpdtrp0(xC,xi),
inference(cnf_transformation,[],[f432]) ).
fof(f800,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f439]) ).
fof(f803,plain,
aSubsetOf0(xX,xY),
inference(cnf_transformation,[],[f439]) ).
fof(f804,plain,
isCountable0(xX),
inference(cnf_transformation,[],[f439]) ).
fof(f808,plain,
! [X0] :
( xu = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f439]) ).
fof(f815,plain,
! [X0] :
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f443]) ).
fof(f820,plain,
! [X0,X1] :
( aSet0(sK65(X0,X1))
| ~ isCountable0(X1)
| sP23(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f448]) ).
fof(f824,plain,
! [X0,X1] :
( aElementOf0(sK65(X0,X1),slbdtsldtrb0(X1,xk))
| ~ isCountable0(X1)
| sP23(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f448]) ).
fof(f825,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK65(X0,X1)) != X0
| ~ isCountable0(X1)
| sP23(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f448]) ).
cnf(c_376,plain,
sdtlpdtrp0(xC,xi) = xd,
inference(cnf_transformation,[],[f784]) ).
cnf(c_377,plain,
sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) = xY,
inference(cnf_transformation,[],[f783]) ).
cnf(c_400,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
| ~ aSet0(X0)
| sdtlpdtrp0(xd,X0) = xu ),
inference(cnf_transformation,[],[f808]) ).
cnf(c_404,plain,
isCountable0(xX),
inference(cnf_transformation,[],[f804]) ).
cnf(c_405,plain,
aSubsetOf0(xX,xY),
inference(cnf_transformation,[],[f803]) ).
cnf(c_408,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f800]) ).
cnf(c_409,plain,
( ~ aSubsetOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f815]) ).
cnf(c_420,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK65(X0,X1)) != X0
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| sP23(X1) ),
inference(cnf_transformation,[],[f825]) ).
cnf(c_421,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| aElementOf0(sK65(X0,X1),slbdtsldtrb0(X1,xk))
| sP23(X1) ),
inference(cnf_transformation,[],[f824]) ).
cnf(c_425,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| aSet0(sK65(X0,X1))
| sP23(X1) ),
inference(cnf_transformation,[],[f820]) ).
cnf(c_3143,plain,
( ~ aSubsetOf0(X0,xY)
| ~ sP23(X0) ),
inference(light_normalisation,[status(thm)],[c_409,c_377]) ).
cnf(c_3148,plain,
( sdtlpdtrp0(xd,sK65(X0,X1)) != X0
| ~ aElementOf0(X0,xT)
| ~ isCountable0(X1)
| sP23(X1) ),
inference(light_normalisation,[status(thm)],[c_420,c_376]) ).
cnf(c_16991,plain,
( sdtlpdtrp0(xd,sK65(X0,xX)) != X0
| ~ aElementOf0(X0,xT)
| ~ isCountable0(xX)
| sP23(xX) ),
inference(instantiation,[status(thm)],[c_3148]) ).
cnf(c_17016,plain,
( ~ aElementOf0(X0,xT)
| ~ isCountable0(xX)
| aElementOf0(sK65(X0,xX),slbdtsldtrb0(xX,xk))
| sP23(xX) ),
inference(instantiation,[status(thm)],[c_421]) ).
cnf(c_17091,plain,
( ~ aElementOf0(X0,xT)
| ~ isCountable0(xX)
| aSet0(sK65(X0,xX))
| sP23(xX) ),
inference(instantiation,[status(thm)],[c_425]) ).
cnf(c_17302,plain,
( sdtlpdtrp0(xd,sK65(xu,xX)) != xu
| ~ aElementOf0(xu,xT)
| ~ isCountable0(xX)
| sP23(xX) ),
inference(instantiation,[status(thm)],[c_16991]) ).
cnf(c_17919,plain,
( ~ aElementOf0(xu,xT)
| ~ isCountable0(xX)
| aElementOf0(sK65(xu,xX),slbdtsldtrb0(xX,xk))
| sP23(xX) ),
inference(instantiation,[status(thm)],[c_17016]) ).
cnf(c_18136,plain,
( ~ aSubsetOf0(xX,xY)
| ~ sP23(xX) ),
inference(instantiation,[status(thm)],[c_3143]) ).
cnf(c_18401,plain,
( ~ aElementOf0(xu,xT)
| ~ isCountable0(xX)
| aSet0(sK65(xu,xX))
| sP23(xX) ),
inference(instantiation,[status(thm)],[c_17091]) ).
cnf(c_20196,plain,
( ~ aElementOf0(sK65(xu,xX),slbdtsldtrb0(xX,xk))
| ~ aSet0(sK65(xu,xX))
| sdtlpdtrp0(xd,sK65(xu,xX)) = xu ),
inference(instantiation,[status(thm)],[c_400]) ).
cnf(c_20197,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20196,c_18401,c_18136,c_17919,c_17302,c_405,c_408,c_404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri Aug 25 09:37:42 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.38 Running first-order theorem proving
% 0.15/0.38 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.67/3.04 % SZS status Started for theBenchmark.p
% 16.67/3.04 % SZS status Theorem for theBenchmark.p
% 16.67/3.04
% 16.67/3.04 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 16.67/3.04
% 16.67/3.04 ------ iProver source info
% 16.67/3.04
% 16.67/3.04 git: date: 2023-05-31 18:12:56 +0000
% 16.67/3.04 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 16.67/3.04 git: non_committed_changes: false
% 16.67/3.04 git: last_make_outside_of_git: false
% 16.67/3.04
% 16.67/3.04 ------ Parsing...
% 16.67/3.04 ------ Clausification by vclausify_rel & Parsing by iProver...
% 16.67/3.04
% 16.67/3.04 ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e
% 16.67/3.04
% 16.67/3.04 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 16.67/3.04
% 16.67/3.04 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.67/3.04 ------ Proving...
% 16.67/3.04 ------ Problem Properties
% 16.67/3.04
% 16.67/3.04
% 16.67/3.04 clauses 346
% 16.67/3.04 conjectures 5
% 16.67/3.04 EPR 63
% 16.67/3.04 Horn 267
% 16.67/3.04 unary 41
% 16.67/3.04 binary 85
% 16.67/3.04 lits 1123
% 16.67/3.04 lits eq 142
% 16.67/3.04 fd_pure 0
% 16.67/3.04 fd_pseudo 0
% 16.67/3.04 fd_cond 11
% 16.67/3.04 fd_pseudo_cond 39
% 16.67/3.04 AC symbols 0
% 16.67/3.04
% 16.67/3.04 ------ Input Options Time Limit: Unbounded
% 16.67/3.04
% 16.67/3.04
% 16.67/3.04 ------
% 16.67/3.04 Current options:
% 16.67/3.04 ------
% 16.67/3.04
% 16.67/3.04
% 16.67/3.04
% 16.67/3.04
% 16.67/3.04 ------ Proving...
% 16.67/3.04
% 16.67/3.04
% 16.67/3.04 % SZS status Theorem for theBenchmark.p
% 16.67/3.04
% 16.67/3.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.67/3.04
% 16.67/3.05
%------------------------------------------------------------------------------