TSTP Solution File: RNG092+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG092+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 : 600s
% DateTime : Mon Jul 18 20:26:53 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 617 ( 114 equ)
% Maximal formula atoms : 477 ( 18 avg)
% Number of connectives : 1014 ( 430 ~; 422 |; 142 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 100 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 77 ( 5 sgn 35 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X2 )
| aElementOf0(X2,sdtpldt1(xI,xJ)) )
& aElement0(X3) )
=> ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& X1 = sdtpldt0(X4,X5)
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(sdtpldt0(X4,X6),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtasdt0(X3,X5),xJ)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X2 )
| aElementOf0(X2,sdtpldt1(xI,xJ)) )
& aElement0(X3) )
=> ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& X1 = sdtpldt0(X4,X5)
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(sdtpldt0(X4,X6),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtasdt0(X3,X5),xJ)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X10,X11,X12,X13,X14,X15,X16,X25,X25,X28,X29] :
( ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( sdtpldt0(X10,X11) = sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( sdtpldt0(X10,X11) = sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElement0(X12) )
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(X10,X11) = sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(X10,X11) = sdtpldt0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& aSet0(sdtpldt1(xI,xJ))
& ( aElementOf0(esk20_1(X25),xI)
| ~ aElementOf0(X25,sdtpldt1(xI,xJ)) )
& ( aElementOf0(esk21_1(X25),xJ)
| ~ aElementOf0(X25,sdtpldt1(xI,xJ)) )
& ( sdtpldt0(esk20_1(X25),esk21_1(X25)) = X25
| ~ aElementOf0(X25,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(X28,xI)
| ~ aElementOf0(X29,xJ)
| sdtpldt0(X28,X29) != X25
| aElementOf0(X25,sdtpldt1(xI,xJ)) )
& aElementOf0(esk22_0,sdtpldt1(xI,xJ))
& ( aElement0(esk24_0)
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) )
& ( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).
fof(c_0_5,plain,
( ~ epred2_0
<=> ! [X1] : ~ aElement0(X1) ),
introduced(definition) ).
cnf(c_0_6,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
aElementOf0(esk22_0,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
( ~ epred4_0
<=> ! [X3] : ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
introduced(definition) ).
fof(c_0_10,plain,
( ~ epred1_0
<=> ! [X2,X3] :
( aElementOf0(sdtpldt0(X2,X3),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ) ),
introduced(definition) ).
cnf(c_0_11,negated_conjecture,
( aElementOf0(sdtpldt0(X2,X3),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( epred2_0
| ~ aElement0(X1) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
aElement0(esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
fof(c_0_14,plain,
( ~ epred3_0
<=> ! [X1,X2] :
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ) ),
introduced(definition) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( epred4_0
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11,c_0_10]),c_0_5]) ).
cnf(c_0_18,negated_conjecture,
epred2_0,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15,c_0_14]),c_0_9]) ).
cnf(c_0_20,negated_conjecture,
epred4_0,
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_21,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| aElement0(esk24_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_14]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
aElement0(esk24_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_7])]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_7]),c_0_28])]) ).
cnf(c_0_30,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,negated_conjecture,
~ aElementOf0(esk23_0,sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_7])]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_7]),c_0_28])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG092+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n023.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 : 600
% 0.13/0.34 % DateTime : Mon May 30 20:34:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.42 # Preprocessing time : 0.021 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 33
% 0.23/1.42 # Proof object clause steps : 24
% 0.23/1.42 # Proof object formula steps : 9
% 0.23/1.42 # Proof object conjectures : 26
% 0.23/1.42 # Proof object clause conjectures : 23
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 11
% 0.23/1.42 # Proof object initial formulas used : 2
% 0.23/1.42 # Proof object generating inferences : 7
% 0.23/1.42 # Proof object simplifying inferences : 24
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 26
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 149
% 0.23/1.42 # Removed in clause preprocessing : 2
% 0.23/1.42 # Initial clauses in saturation : 147
% 0.23/1.42 # Processed clauses : 314
% 0.23/1.42 # ...of these trivial : 6
% 0.23/1.42 # ...subsumed : 40
% 0.23/1.42 # ...remaining for further processing : 267
% 0.23/1.42 # Other redundant clauses eliminated : 312
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 5
% 0.23/1.42 # Backward-rewritten : 25
% 0.23/1.42 # Generated clauses : 1972
% 0.23/1.42 # ...of the previous two non-trivial : 1579
% 0.23/1.42 # Contextual simplify-reflections : 34
% 0.23/1.42 # Paramodulations : 1581
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 370
% 0.23/1.42 # Current number of processed clauses : 229
% 0.23/1.42 # Positive orientable unit clauses : 25
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 12
% 0.23/1.42 # Non-unit-clauses : 192
% 0.23/1.42 # Current number of unprocessed clauses: 1261
% 0.23/1.42 # ...number of literals in the above : 9066
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 30
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 8662
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 3604
% 0.23/1.42 # Non-unit clause-clause subsumptions : 69
% 0.23/1.42 # Unit Clause-clause subsumption calls : 1858
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 10
% 0.23/1.42 # BW rewrite match successes : 10
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 44223
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.064 s
% 0.23/1.42 # System time : 0.007 s
% 0.23/1.42 # Total time : 0.071 s
% 0.23/1.42 # Maximum resident set size: 4816 pages
%------------------------------------------------------------------------------