TSTP Solution File: NUM592+3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:56:31 EDT 2023
% Result : Theorem 90.38s 11.98s
% Output : CNFRefutation 90.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 475 ( 64 equ)
% Maximal formula atoms : 304 ( 16 avg)
% Number of connectives : 637 ( 191 ~; 294 |; 124 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn; 33 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4448_02,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox/tmp/tmp.gUXk0Dv7uD/E---3.1_19987.p',m__4448_02) ).
fof(m__4545,hypothesis,
( aElementOf0(xu,xT)
& aSet0(xX)
& ! [X1] :
( aElementOf0(X1,xX)
=> aElementOf0(X1,xY) )
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xX) )
| aSubsetOf0(X1,xX) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(xX,xk)) ) )
=> sdtlpdtrp0(xd,X1) = xu ) ),
file('/export/starexec/sandbox/tmp/tmp.gUXk0Dv7uD/E---3.1_19987.p',m__4545) ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& X3 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3) = X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gUXk0Dv7uD/E---3.1_19987.p',m__) ).
fof(c_0_3,plain,
! [X1] :
( epred4_1(X1)
<=> ? [X2] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& X3 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3) = X1 ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
! [X1] :
( ? [X2] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,xi))
& X3 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
=> ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3) = X1 ) )
=> epred4_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X275,X276,X277,X278,X279,X282] :
( ( aSet0(esk43_2(X275,X276))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aElementOf0(X277,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X277)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElement0(X278)
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElementOf0(X278,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| X278 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X278,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aElement0(X279)
| ~ aElementOf0(X279,sdtlpdtrp0(xN,xi))
| X279 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| aElementOf0(esk42_2(X275,X276),X276)
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aElementOf0(esk42_2(X275,X276),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X276)
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSet0(esk43_2(X275,X276))
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( ~ aElementOf0(X282,esk43_2(X275,X276))
| aElementOf0(X282,X276)
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aSubsetOf0(esk43_2(X275,X276),X276)
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sbrdtbr0(esk43_2(X275,X276)) = xk
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( aElementOf0(esk43_2(X275,X276),slbdtsldtrb0(X276,xk))
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X275,X276)) != X275
| ~ aSubsetOf0(X276,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X276)
| epred4_1(X275) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
fof(c_0_6,hypothesis,
! [X221,X222] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ( ~ aElementOf0(X221,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X221) )
& aSet0(xY)
& ( aElement0(X222)
| ~ aElementOf0(X222,xY) )
& ( aElementOf0(X222,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X222,xY) )
& ( X222 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X222,xY) )
& ( ~ aElement0(X222)
| ~ aElementOf0(X222,sdtlpdtrp0(xN,xi))
| X222 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X222,xY) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4448_02])])])]) ).
cnf(c_0_7,plain,
( aElementOf0(esk43_2(X1,X2),slbdtsldtrb0(X2,xk))
| epred4_1(X1)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,hypothesis,
! [X233,X234] :
( aElementOf0(xu,xT)
& aSet0(xX)
& ( ~ aElementOf0(X233,xX)
| aElementOf0(X233,xY) )
& aSubsetOf0(xX,xY)
& isCountable0(xX)
& ( aElementOf0(esk36_1(X234),X234)
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu )
& ( ~ aElementOf0(esk36_1(X234),xX)
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu )
& ( ~ aSubsetOf0(X234,xX)
| sbrdtbr0(X234) != xk
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu )
& ( ~ aElementOf0(X234,slbdtsldtrb0(xX,xk))
| ~ aSet0(X234)
| sdtlpdtrp0(xd,X234) = xu ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4545])])])])]) ).
cnf(c_0_10,plain,
( aSet0(esk43_2(X1,X2))
| epred4_1(X1)
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,xT)
& epred4_1(X1) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[m__]),c_0_3]) ).
cnf(c_0_12,plain,
( epred4_1(X1)
| sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk43_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,hypothesis,
xd = sdtlpdtrp0(xC,xi),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( epred4_1(X1)
| aElementOf0(esk43_2(X1,X2),slbdtsldtrb0(X2,xk))
| ~ aSubsetOf0(X2,xY)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_15,hypothesis,
aSubsetOf0(xX,xY),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,hypothesis,
isCountable0(xX),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( epred4_1(X1)
| aSet0(esk43_2(X1,X2))
| ~ aSubsetOf0(X2,xY)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[c_0_10,c_0_8]) ).
fof(c_0_18,negated_conjecture,
! [X236] :
( ~ aElementOf0(X236,xT)
| ~ epred4_1(X236) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_19,plain,
( epred4_1(X1)
| sdtlpdtrp0(xd,esk43_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,xY)
| ~ isCountable0(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_8]) ).
cnf(c_0_20,hypothesis,
( sdtlpdtrp0(xd,X1) = xu
| ~ aElementOf0(X1,slbdtsldtrb0(xX,xk))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,hypothesis,
( epred4_1(X1)
| aElementOf0(esk43_2(X1,xX),slbdtsldtrb0(xX,xk)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_22,hypothesis,
( epred4_1(X1)
| aSet0(esk43_2(X1,xX)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16])]) ).
cnf(c_0_23,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ epred4_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,hypothesis,
aElementOf0(xu,xT),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,hypothesis,
( epred4_1(X1)
| sdtlpdtrp0(xd,esk43_2(X1,xX)) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_16])]) ).
cnf(c_0_26,hypothesis,
( sdtlpdtrp0(xd,esk43_2(X1,xX)) = xu
| epred4_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,hypothesis,
~ epred4_1(xu),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 13:37:03 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.gUXk0Dv7uD/E---3.1_19987.p
% 90.38/11.98 # Version: 3.1pre001
% 90.38/11.98 # Preprocessing class: FSLSSMSMSSSNFFN.
% 90.38/11.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 90.38/11.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 90.38/11.98 # Starting new_bool_3 with 300s (1) cores
% 90.38/11.98 # Starting new_bool_1 with 300s (1) cores
% 90.38/11.98 # Starting sh5l with 300s (1) cores
% 90.38/11.98 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 20065 completed with status 0
% 90.38/11.98 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 90.38/11.98 # Preprocessing class: FSLSSMSMSSSNFFN.
% 90.38/11.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 90.38/11.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 90.38/11.98 # No SInE strategy applied
% 90.38/11.98 # Search class: FGHSF-SMLM32-MFFFFFNN
% 90.38/11.98 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 90.38/11.98 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 90.38/11.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 90.38/11.98 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 90.38/11.98 # Starting new_bool_3 with 136s (1) cores
% 90.38/11.98 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 90.38/11.98 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 20073 completed with status 0
% 90.38/11.98 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 90.38/11.98 # Preprocessing class: FSLSSMSMSSSNFFN.
% 90.38/11.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 90.38/11.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 90.38/11.98 # No SInE strategy applied
% 90.38/11.98 # Search class: FGHSF-SMLM32-MFFFFFNN
% 90.38/11.98 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 90.38/11.98 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 811s (1) cores
% 90.38/11.98 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 90.38/11.98 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 90.38/11.98 # Preprocessing time : 0.147 s
% 90.38/11.98 # Presaturation interreduction done
% 90.38/11.98
% 90.38/11.98 # Proof found!
% 90.38/11.98 # SZS status Theorem
% 90.38/11.98 # SZS output start CNFRefutation
% See solution above
% 90.38/11.98 # Parsed axioms : 94
% 90.38/11.98 # Removed by relevancy pruning/SinE : 0
% 90.38/11.98 # Initial clauses : 4907
% 90.38/11.98 # Removed in clause preprocessing : 7
% 90.38/11.98 # Initial clauses in saturation : 4900
% 90.38/11.98 # Processed clauses : 20880
% 90.38/11.98 # ...of these trivial : 410
% 90.38/11.98 # ...subsumed : 5847
% 90.38/11.98 # ...remaining for further processing : 14623
% 90.38/11.98 # Other redundant clauses eliminated : 2046
% 90.38/11.98 # Clauses deleted for lack of memory : 0
% 90.38/11.98 # Backward-subsumed : 206
% 90.38/11.98 # Backward-rewritten : 265
% 90.38/11.98 # Generated clauses : 106243
% 90.38/11.98 # ...of the previous two non-redundant : 100953
% 90.38/11.98 # ...aggressively subsumed : 0
% 90.38/11.98 # Contextual simplify-reflections : 461
% 90.38/11.98 # Paramodulations : 104388
% 90.38/11.98 # Factorizations : 6
% 90.38/11.98 # NegExts : 0
% 90.38/11.98 # Equation resolutions : 2049
% 90.38/11.98 # Total rewrite steps : 68645
% 90.38/11.98 # Propositional unsat checks : 3
% 90.38/11.98 # Propositional check models : 2
% 90.38/11.98 # Propositional check unsatisfiable : 0
% 90.38/11.98 # Propositional clauses : 0
% 90.38/11.98 # Propositional clauses after purity: 0
% 90.38/11.98 # Propositional unsat core size : 0
% 90.38/11.98 # Propositional preprocessing time : 0.000
% 90.38/11.98 # Propositional encoding time : 0.084
% 90.38/11.98 # Propositional solver time : 0.048
% 90.38/11.98 # Success case prop preproc time : 0.000
% 90.38/11.98 # Success case prop encoding time : 0.000
% 90.38/11.98 # Success case prop solver time : 0.000
% 90.38/11.98 # Current number of processed clauses : 8348
% 90.38/11.98 # Positive orientable unit clauses : 1924
% 90.38/11.98 # Positive unorientable unit clauses: 0
% 90.38/11.98 # Negative unit clauses : 103
% 90.38/11.98 # Non-unit-clauses : 6321
% 90.38/11.98 # Current number of unprocessed clauses: 88007
% 90.38/11.98 # ...number of literals in the above : 449737
% 90.38/11.98 # Current number of archived formulas : 0
% 90.38/11.98 # Current number of archived clauses : 4432
% 90.38/11.98 # Clause-clause subsumption calls (NU) : 20997247
% 90.38/11.98 # Rec. Clause-clause subsumption calls : 2055498
% 90.38/11.98 # Non-unit clause-clause subsumptions : 5656
% 90.38/11.98 # Unit Clause-clause subsumption calls : 490833
% 90.38/11.98 # Rewrite failures with RHS unbound : 0
% 90.38/11.98 # BW rewrite match attempts : 15144
% 90.38/11.98 # BW rewrite match successes : 106
% 90.38/11.98 # Condensation attempts : 0
% 90.38/11.98 # Condensation successes : 0
% 90.38/11.98 # Termbank termtop insertions : 3837991
% 90.38/11.98
% 90.38/11.98 # -------------------------------------------------
% 90.38/11.98 # User time : 11.243 s
% 90.38/11.98 # System time : 0.093 s
% 90.38/11.98 # Total time : 11.335 s
% 90.38/11.98 # Maximum resident set size: 14268 pages
% 90.38/11.98
% 90.38/11.98 # -------------------------------------------------
% 90.38/11.98 # User time : 55.474 s
% 90.38/11.98 # System time : 0.408 s
% 90.38/11.98 # Total time : 55.882 s
% 90.38/11.98 # Maximum resident set size: 1864 pages
% 90.38/11.98 % E---3.1 exiting
% 90.38/11.98 % E---3.1 exiting
%------------------------------------------------------------------------------