TSTP Solution File: RNG092+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG092+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 02:15:36 EST 2010
% Result : Theorem 1.03s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 13 unt; 0 def)
% Number of atoms : 933 ( 156 equ)
% Maximal formula atoms : 477 ( 15 avg)
% Number of connectives : 1427 ( 555 ~; 555 |; 296 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 6 con; 0-3 aty)
% Number of variables : 184 ( 2 sgn 102 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/tmp/tmpA67ehE/sel_RNG092+2.p_1',mEOfElem) ).
fof(3,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/tmp/tmpA67ehE/sel_RNG092+2.p_1',mAddComm) ).
fof(13,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/tmp/tmpA67ehE/sel_RNG092+2.p_1',mDefIdeal) ).
fof(18,axiom,
aElement0(sz00),
file('/tmp/tmpA67ehE/sel_RNG092+2.p_1',mSortsC) ).
fof(26,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('/tmp/tmpA67ehE/sel_RNG092+2.p_1',m__) ).
fof(27,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)],[26]) ).
fof(28,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(29,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[28]) ).
fof(30,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[29]) ).
cnf(31,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(37,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(38,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[37]) ).
cnf(39,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(81,plain,
! [X1] :
( ( ~ aIdeal0(X1)
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) )
& ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ( ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(sdtpldt0(X2,X3),X1) )
| ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X2),X1) ) ) )
| aIdeal0(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(82,plain,
! [X4] :
( ( ~ aIdeal0(X4)
| ( aSet0(X4)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) )
& ! [X7] :
( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) ) ) ) ) )
& ( ~ aSet0(X4)
| ? [X8] :
( aElementOf0(X8,X4)
& ( ? [X9] :
( aElementOf0(X9,X4)
& ~ aElementOf0(sdtpldt0(X8,X9),X4) )
| ? [X10] :
( aElement0(X10)
& ~ aElementOf0(sdtasdt0(X10,X8),X4) ) ) )
| aIdeal0(X4) ) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,plain,
! [X4] :
( ( ~ aIdeal0(X4)
| ( aSet0(X4)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) )
& ! [X7] :
( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) ) ) ) ) )
& ( ~ aSet0(X4)
| ( aElementOf0(esk3_1(X4),X4)
& ( ( aElementOf0(esk4_1(X4),X4)
& ~ aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4) )
| ( aElement0(esk5_1(X4))
& ~ aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4) ) ) )
| aIdeal0(X4) ) ),
inference(skolemize,[status(esa)],[82]) ).
fof(84,plain,
! [X4,X5,X6,X7] :
( ( ( ( ( ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) ) )
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ aIdeal0(X4) )
& ( ~ aSet0(X4)
| ( aElementOf0(esk3_1(X4),X4)
& ( ( aElementOf0(esk4_1(X4),X4)
& ~ aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4) )
| ( aElement0(esk5_1(X4))
& ~ aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4) ) ) )
| aIdeal0(X4) ) ),
inference(shift_quantors,[status(thm)],[83]) ).
fof(85,plain,
! [X4,X5,X6,X7] :
( ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk3_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk5_1(X4))
| aElementOf0(esk4_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4)
| aElementOf0(esk4_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk5_1(X4))
| ~ aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk5_1(X4),esk3_1(X4)),X4)
| ~ aElementOf0(sdtpldt0(esk3_1(X4),esk4_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) ) ),
inference(distribute,[status(thm)],[84]) ).
cnf(90,plain,
( aIdeal0(X1)
| aElementOf0(esk3_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[85]) ).
cnf(119,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[18]) ).
fof(154,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 ) )
& ( ! [X2,X3] :
( ~ aElementOf0(X2,xI)
| ~ aElementOf0(X3,xJ)
| sdtpldt0(X2,X3) != X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) ) )
& ? [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(fof_nnf,[status(thm)],[27]) ).
fof(155,negated_conjecture,
( ! [X10,X11,X12] :
( ( ! [X13,X14] :
( ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10 )
& ~ aElementOf0(X10,sdtpldt1(xI,xJ)) )
| ( ! [X15,X16] :
( ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11 )
& ~ aElementOf0(X11,sdtpldt1(xI,xJ)) )
| ~ aElement0(X12)
| ? [X17,X18] :
( aElementOf0(X17,xI)
& aElementOf0(X18,xJ)
& X10 = sdtpldt0(X17,X18)
& ? [X19,X20] :
( aElementOf0(X19,xI)
& aElementOf0(X20,xJ)
& X11 = sdtpldt0(X19,X20)
& aElementOf0(sdtpldt0(X17,X19),xI)
& aElementOf0(sdtpldt0(X18,X20),xJ)
& aElementOf0(sdtasdt0(X12,X17),xI)
& aElementOf0(sdtasdt0(X12,X18),xJ)
& sdtpldt0(X10,X11) = sdtpldt0(sdtpldt0(X17,X19),sdtpldt0(X18,X20))
& ? [X21,X22] :
( aElementOf0(X21,xI)
& aElementOf0(X22,xJ)
& sdtpldt0(X21,X22) = sdtpldt0(X10,X11) )
& aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
& ? [X23,X24] :
( aElementOf0(X23,xI)
& aElementOf0(X24,xJ)
& sdtpldt0(X23,X24) = sdtasdt0(X12,X10) )
& aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ)) ) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X25] :
( ( ~ aElementOf0(X25,sdtpldt1(xI,xJ))
| ? [X26,X27] :
( aElementOf0(X26,xI)
& aElementOf0(X27,xJ)
& sdtpldt0(X26,X27) = X25 ) )
& ( ! [X28,X29] :
( ~ aElementOf0(X28,xI)
| ~ aElementOf0(X29,xJ)
| sdtpldt0(X28,X29) != X25 )
| aElementOf0(X25,sdtpldt1(xI,xJ)) ) )
& ? [X30] :
( aElementOf0(X30,sdtpldt1(xI,xJ))
& ( ? [X31] :
( aElementOf0(X31,sdtpldt1(xI,xJ))
& ~ aElementOf0(sdtpldt0(X30,X31),sdtpldt1(xI,xJ)) )
| ? [X32] :
( aElement0(X32)
& ~ aElementOf0(sdtasdt0(X32,X30),sdtpldt1(xI,xJ)) ) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(variable_rename,[status(thm)],[154]) ).
fof(156,negated_conjecture,
( ! [X10,X11,X12] :
( ( ! [X13,X14] :
( ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10 )
& ~ aElementOf0(X10,sdtpldt1(xI,xJ)) )
| ( ! [X15,X16] :
( ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11 )
& ~ aElementOf0(X11,sdtpldt1(xI,xJ)) )
| ~ aElement0(X12)
| ( aElementOf0(esk12_3(X10,X11,X12),xI)
& aElementOf0(esk13_3(X10,X11,X12),xJ)
& X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
& aElementOf0(esk14_3(X10,X11,X12),xI)
& aElementOf0(esk15_3(X10,X11,X12),xJ)
& X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
& aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
& aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
& aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
& aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
& 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(esk16_3(X10,X11,X12),xI)
& aElementOf0(esk17_3(X10,X11,X12),xJ)
& sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
& aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
& aElementOf0(esk18_3(X10,X11,X12),xI)
& aElementOf0(esk19_3(X10,X11,X12),xJ)
& sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
& aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ)) ) )
& aSet0(sdtpldt1(xI,xJ))
& ! [X25] :
( ( ~ aElementOf0(X25,sdtpldt1(xI,xJ))
| ( aElementOf0(esk20_1(X25),xI)
& aElementOf0(esk21_1(X25),xJ)
& sdtpldt0(esk20_1(X25),esk21_1(X25)) = X25 ) )
& ( ! [X28,X29] :
( ~ aElementOf0(X28,xI)
| ~ aElementOf0(X29,xJ)
| sdtpldt0(X28,X29) != X25 )
| aElementOf0(X25,sdtpldt1(xI,xJ)) ) )
& aElementOf0(esk22_0,sdtpldt1(xI,xJ))
& ( ( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
& ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) )
| ( aElement0(esk24_0)
& ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(skolemize,[status(esa)],[155]) ).
fof(157,negated_conjecture,
! [X10,X11,X12,X13,X14,X15,X16,X25,X28,X29] :
( ( ~ aElementOf0(X28,xI)
| ~ aElementOf0(X29,xJ)
| sdtpldt0(X28,X29) != X25
| aElementOf0(X25,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(X25,sdtpldt1(xI,xJ))
| ( aElementOf0(esk20_1(X25),xI)
& aElementOf0(esk21_1(X25),xJ)
& sdtpldt0(esk20_1(X25),esk21_1(X25)) = X25 ) )
& aSet0(sdtpldt1(xI,xJ))
& aElementOf0(esk22_0,sdtpldt1(xI,xJ))
& ( ( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
& ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) )
| ( aElement0(esk24_0)
& ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ) )
& ~ aIdeal0(sdtpldt1(xI,xJ))
& ( ( ( ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11 )
& ~ aElementOf0(X11,sdtpldt1(xI,xJ)) )
| ( ( ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10 )
& ~ aElementOf0(X10,sdtpldt1(xI,xJ)) )
| ~ aElement0(X12)
| ( aElementOf0(esk12_3(X10,X11,X12),xI)
& aElementOf0(esk13_3(X10,X11,X12),xJ)
& X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
& aElementOf0(esk14_3(X10,X11,X12),xI)
& aElementOf0(esk15_3(X10,X11,X12),xJ)
& X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
& aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
& aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
& aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
& aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
& 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(esk16_3(X10,X11,X12),xI)
& aElementOf0(esk17_3(X10,X11,X12),xJ)
& sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
& aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
& aElementOf0(esk18_3(X10,X11,X12),xI)
& aElementOf0(esk19_3(X10,X11,X12),xJ)
& sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
& aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ)) ) ) ),
inference(shift_quantors,[status(thm)],[156]) ).
fof(158,negated_conjecture,
! [X10,X11,X12,X13,X14,X15,X16,X25,X28,X29] :
( ( ~ aElementOf0(X28,xI)
| ~ aElementOf0(X29,xJ)
| sdtpldt0(X28,X29) != X25
| aElementOf0(X25,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)) )
& aSet0(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))
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ 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(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ 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(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X15,xI)
| ~ aElementOf0(X16,xJ)
| sdtpldt0(X15,X16) != X11
| ~ aElement0(X12) )
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,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(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X13,xI)
| ~ aElementOf0(X14,xJ)
| sdtpldt0(X13,X14) != X10
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk12_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk13_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X10 = sdtpldt0(esk12_3(X10,X11,X12),esk13_3(X10,X11,X12))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk14_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk15_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( X11 = sdtpldt0(esk14_3(X10,X11,X12),esk15_3(X10,X11,X12))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk12_3(X10,X11,X12),esk14_3(X10,X11,X12)),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(esk13_3(X10,X11,X12),esk15_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk12_3(X10,X11,X12)),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,esk13_3(X10,X11,X12)),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,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(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk16_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk17_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk16_3(X10,X11,X12),esk17_3(X10,X11,X12)) = sdtpldt0(X10,X11)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtpldt0(X10,X11),sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk18_3(X10,X11,X12),xI)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(esk19_3(X10,X11,X12),xJ)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( sdtpldt0(esk18_3(X10,X11,X12),esk19_3(X10,X11,X12)) = sdtasdt0(X12,X10)
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) )
& ( aElementOf0(sdtasdt0(X12,X10),sdtpldt1(xI,xJ))
| ~ aElementOf0(X10,sdtpldt1(xI,xJ))
| ~ aElementOf0(X11,sdtpldt1(xI,xJ))
| ~ aElement0(X12) ) ),
inference(distribute,[status(thm)],[157]) ).
cnf(159,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X3),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(163,negated_conjecture,
( aElementOf0(sdtpldt0(X3,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(235,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(236,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)],[158]) ).
cnf(237,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(238,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(239,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| aElement0(esk24_0) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(240,negated_conjecture,
aElementOf0(esk22_0,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(241,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(250,negated_conjecture,
( aElement0(esk22_0)
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[31,240,theory(equality)]) ).
cnf(251,negated_conjecture,
( aElement0(esk22_0)
| $false ),
inference(rw,[status(thm)],[250,241,theory(equality)]) ).
cnf(252,negated_conjecture,
aElement0(esk22_0),
inference(cn,[status(thm)],[251,theory(equality)]) ).
cnf(443,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[159,90,theory(equality)]) ).
cnf(444,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| $false ),
inference(rw,[status(thm)],[443,241,theory(equality)]) ).
cnf(445,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| aIdeal0(sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(cn,[status(thm)],[444,theory(equality)]) ).
cnf(446,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[445,235,theory(equality)]) ).
cnf(447,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[163,119,theory(equality)]) ).
cnf(1956,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElement0(esk24_0)
| ~ aElementOf0(esk22_0,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[238,446,theory(equality)]) ).
cnf(1961,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElement0(esk24_0)
| ~ aElementOf0(esk22_0,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[236,446,theory(equality)]) ).
cnf(1972,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElement0(esk24_0)
| $false ),
inference(rw,[status(thm)],[1956,240,theory(equality)]) ).
cnf(1973,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElement0(esk24_0) ),
inference(cn,[status(thm)],[1972,theory(equality)]) ).
cnf(1974,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElement0(esk24_0)
| $false ),
inference(rw,[status(thm)],[1961,240,theory(equality)]) ).
cnf(1975,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElement0(esk24_0) ),
inference(cn,[status(thm)],[1974,theory(equality)]) ).
cnf(1982,negated_conjecture,
aElementOf0(esk23_0,sdtpldt1(xI,xJ)),
inference(csr,[status(thm)],[1973,239]) ).
cnf(1983,negated_conjecture,
( aElement0(esk23_0)
| ~ aSet0(sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[31,1982,theory(equality)]) ).
cnf(1987,negated_conjecture,
( aElement0(esk23_0)
| $false ),
inference(rw,[status(thm)],[1983,241,theory(equality)]) ).
cnf(1988,negated_conjecture,
aElement0(esk23_0),
inference(cn,[status(thm)],[1987,theory(equality)]) ).
cnf(1991,negated_conjecture,
( sdtpldt0(X1,esk23_0) = sdtpldt0(esk23_0,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[39,1988,theory(equality)]) ).
cnf(2269,negated_conjecture,
sdtpldt0(esk22_0,esk23_0) = sdtpldt0(esk23_0,esk22_0),
inference(spm,[status(thm)],[1991,252,theory(equality)]) ).
cnf(3636,negated_conjecture,
~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)),
inference(csr,[status(thm)],[1975,237]) ).
cnf(16796,negated_conjecture,
( aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(esk22_0,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[447,2269,theory(equality)]) ).
cnf(16935,negated_conjecture,
( aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| $false
| ~ aElementOf0(esk22_0,sdtpldt1(xI,xJ)) ),
inference(rw,[status(thm)],[16796,1982,theory(equality)]) ).
cnf(16936,negated_conjecture,
( aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| $false
| $false ),
inference(rw,[status(thm)],[16935,240,theory(equality)]) ).
cnf(16937,negated_conjecture,
aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[16936,theory(equality)]) ).
cnf(16938,negated_conjecture,
$false,
inference(sr,[status(thm)],[16937,3636,theory(equality)]) ).
cnf(16939,negated_conjecture,
$false,
16938,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG092+2.p
% --creating new selector for []
% -running prover on /tmp/tmpA67ehE/sel_RNG092+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG092+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG092+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG092+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------