TSTP Solution File: NUM541+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM541+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n102.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:43 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 10
% Syntax : Number of formulae : 109 ( 9 unt; 0 def)
% Number of atoms : 441 ( 51 equ)
% Maximal formula atoms : 50 ( 4 avg)
% Number of connectives : 554 ( 222 ~; 270 |; 47 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 64 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mSuccNum) ).
fof(21,axiom,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',m__1936) ).
fof(22,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mLessRefl) ).
fof(24,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mSuccLess) ).
fof(31,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mLessSucc) ).
fof(36,conjecture,
( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn) ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| equal(xm,xn) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',m__) ).
fof(43,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mLessTotal) ).
fof(44,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mLessASymm) ).
fof(51,axiom,
! [X1,X2,X3] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& aElementOf0(X3,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mLessTrans) ).
fof(53,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ equal(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1',mNatNSucc) ).
fof(55,negated_conjecture,
~ ( ( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn) ) )
& ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| equal(xm,xn) )
=> ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ) ),
inference(assume_negation,[status(cth)],[36]) ).
fof(72,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& ~ equal(szszuzczcdt0(X1),sz00) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(73,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
& ~ equal(szszuzczcdt0(X2),sz00) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ~ equal(szszuzczcdt0(X2),sz00)
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[73]) ).
cnf(76,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[74]) ).
cnf(152,plain,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(153,plain,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[21]) ).
fof(154,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,X1) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(155,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[154]) ).
cnf(156,plain,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(160,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ( ( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| sdtlseqdt0(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(161,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ( ( ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| sdtlseqdt0(X3,X4) ) ) ),
inference(variable_rename,[status(thm)],[160]) ).
fof(162,plain,
! [X3,X4] :
( ( ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4))
| sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[161]) ).
cnf(163,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[162]) ).
cnf(164,plain,
( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
fof(190,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(191,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[190]) ).
cnf(192,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[191]) ).
fof(218,negated_conjecture,
( ( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
& ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
& ~ aElementOf0(xm,slbdtrb0(xn))
& ~ equal(xm,xn) )
| ( ( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
& aElementOf0(xm,slbdtrb0(xn)) )
| equal(xm,xn) )
& ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
& ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(219,negated_conjecture,
( ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| equal(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
& ( aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| equal(xm,xn)
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn)
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| equal(xm,xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) )
& ( aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) )
& ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ sdtlseqdt0(szszuzczcdt0(xm),xn) )
& ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| equal(xm,xn)
| ~ aElementOf0(xm,slbdtrb0(xn)) )
& ( aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn)
| ~ aElementOf0(xm,slbdtrb0(xn)) )
& ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ aElementOf0(xm,slbdtrb0(xn)) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ aElementOf0(xm,slbdtrb0(xn)) )
& ( sdtlseqdt0(szszuzczcdt0(xm),xn)
| equal(xm,xn)
| ~ equal(xm,xn) )
& ( aElementOf0(xm,slbdtrb0(xn))
| equal(xm,xn)
| ~ equal(xm,xn) )
& ( ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| ~ equal(xm,xn) )
& ( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ equal(xm,xn) ) ),
inference(distribute,[status(thm)],[218]) ).
cnf(221,negated_conjecture,
( xm != xn
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(225,negated_conjecture,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(227,negated_conjecture,
( xm = xn
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(229,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn)) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(238,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| xm = xn
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[219]) ).
fof(259,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(260,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[259]) ).
cnf(261,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[260]) ).
fof(262,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(263,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[262]) ).
cnf(264,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[263]) ).
fof(297,plain,
! [X1,X2,X3] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X3) ),
inference(fof_nnf,[status(thm)],[51]) ).
fof(298,plain,
! [X4,X5,X6] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[297]) ).
cnf(299,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[298]) ).
fof(303,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ equal(X1,szszuzczcdt0(X1)) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(304,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ equal(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[303]) ).
cnf(305,plain,
( X1 != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[304]) ).
cnf(425,negated_conjecture,
( sdtlseqdt0(xm,xn)
| xn = xm
| aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[163,238,theory(equality)]) ).
cnf(431,negated_conjecture,
( sdtlseqdt0(xm,xn)
| xn = xm
| aElementOf0(xm,slbdtrb0(xn))
| $false
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[425,153,theory(equality)]) ).
cnf(432,negated_conjecture,
( sdtlseqdt0(xm,xn)
| xn = xm
| aElementOf0(xm,slbdtrb0(xn))
| $false
| $false ),
inference(rw,[status(thm)],[431,152,theory(equality)]) ).
cnf(433,negated_conjecture,
( sdtlseqdt0(xm,xn)
| xn = xm
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[432,theory(equality)]) ).
cnf(437,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[221,164,theory(equality)]) ).
cnf(439,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[229,164,theory(equality)]) ).
cnf(443,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(xm,xn)
| $false
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[437,153,theory(equality)]) ).
cnf(444,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(xm,xn)
| $false
| $false ),
inference(rw,[status(thm)],[443,152,theory(equality)]) ).
cnf(445,negated_conjecture,
( xn != xm
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[444,theory(equality)]) ).
cnf(449,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(xm,xn)
| $false
| ~ aElementOf0(xn,szNzAzT0) ),
inference(rw,[status(thm)],[439,153,theory(equality)]) ).
cnf(450,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(xm,xn)
| $false
| $false ),
inference(rw,[status(thm)],[449,152,theory(equality)]) ).
cnf(451,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[450,theory(equality)]) ).
cnf(453,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| xn != xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[221,261,theory(equality)]) ).
cnf(454,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[225,261,theory(equality)]) ).
cnf(459,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| xn != xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[453,153,theory(equality)]) ).
cnf(460,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| xn != xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[459,theory(equality)]) ).
cnf(461,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[454,153,theory(equality)]) ).
cnf(462,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[461,theory(equality)]) ).
cnf(686,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[451,261,theory(equality)]) ).
cnf(687,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn)
| $false
| ~ aElementOf0(xm,szNzAzT0) ),
inference(rw,[status(thm)],[686,152,theory(equality)]) ).
cnf(688,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn)
| $false
| $false ),
inference(rw,[status(thm)],[687,153,theory(equality)]) ).
cnf(689,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[688,theory(equality)]) ).
cnf(690,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[264,689,theory(equality)]) ).
cnf(692,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn)
| $false
| ~ aElementOf0(xm,szNzAzT0) ),
inference(rw,[status(thm)],[690,152,theory(equality)]) ).
cnf(693,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn)
| $false
| $false ),
inference(rw,[status(thm)],[692,153,theory(equality)]) ).
cnf(694,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[693,theory(equality)]) ).
cnf(698,negated_conjecture,
~ sdtlseqdt0(xm,xn),
inference(csr,[status(thm)],[694,445]) ).
cnf(700,negated_conjecture,
( xn = xm
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(sr,[status(thm)],[433,698,theory(equality)]) ).
cnf(701,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(spm,[status(thm)],[227,700,theory(equality)]) ).
cnf(746,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[462,700,theory(equality)]) ).
cnf(747,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(csr,[status(thm)],[746,460]) ).
cnf(750,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[299,747,theory(equality)]) ).
cnf(756,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| $false
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[750,153,theory(equality)]) ).
cnf(757,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[756,theory(equality)]) ).
cnf(845,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[757,192,theory(equality)]) ).
cnf(853,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[845,152,theory(equality)]) ).
cnf(854,negated_conjecture,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[853,theory(equality)]) ).
cnf(858,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[299,854,theory(equality)]) ).
cnf(862,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| $false
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(rw,[status(thm)],[858,152,theory(equality)]) ).
cnf(863,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| $false
| $false
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(rw,[status(thm)],[862,153,theory(equality)]) ).
cnf(864,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[863,theory(equality)]) ).
cnf(880,negated_conjecture,
( sdtlseqdt0(szszuzczcdt0(xm),xm)
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(spm,[status(thm)],[864,701,theory(equality)]) ).
cnf(914,negated_conjecture,
( xm = szszuzczcdt0(xm)
| xn = xm
| ~ sdtlseqdt0(xm,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[264,880,theory(equality)]) ).
cnf(917,negated_conjecture,
( xm = szszuzczcdt0(xm)
| xn = xm
| ~ sdtlseqdt0(xm,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| $false
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(rw,[status(thm)],[914,153,theory(equality)]) ).
cnf(918,negated_conjecture,
( xm = szszuzczcdt0(xm)
| xn = xm
| ~ sdtlseqdt0(xm,szszuzczcdt0(xm))
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[917,theory(equality)]) ).
cnf(923,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[918,192,theory(equality)]) ).
cnf(924,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[923,153,theory(equality)]) ).
cnf(925,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[924,theory(equality)]) ).
cnf(926,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(spm,[status(thm)],[925,76,theory(equality)]) ).
cnf(927,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| $false ),
inference(rw,[status(thm)],[926,152,theory(equality)]) ).
cnf(928,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(cn,[status(thm)],[927,theory(equality)]) ).
cnf(929,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[928,76,theory(equality)]) ).
cnf(930,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm
| $false ),
inference(rw,[status(thm)],[929,153,theory(equality)]) ).
cnf(931,negated_conjecture,
( szszuzczcdt0(xm) = xm
| xn = xm ),
inference(cn,[status(thm)],[930,theory(equality)]) ).
cnf(936,negated_conjecture,
( xn = xm
| ~ aElementOf0(xm,szNzAzT0) ),
inference(spm,[status(thm)],[305,931,theory(equality)]) ).
cnf(959,negated_conjecture,
( xn = xm
| $false ),
inference(rw,[status(thm)],[936,153,theory(equality)]) ).
cnf(960,negated_conjecture,
xn = xm,
inference(cn,[status(thm)],[959,theory(equality)]) ).
cnf(998,negated_conjecture,
~ sdtlseqdt0(xm,xm),
inference(rw,[status(thm)],[698,960,theory(equality)]) ).
cnf(1084,negated_conjecture,
~ aElementOf0(xm,szNzAzT0),
inference(spm,[status(thm)],[998,156,theory(equality)]) ).
cnf(1085,negated_conjecture,
$false,
inference(rw,[status(thm)],[1084,153,theory(equality)]) ).
cnf(1086,negated_conjecture,
$false,
inference(cn,[status(thm)],[1085,theory(equality)]) ).
cnf(1087,negated_conjecture,
$false,
1086,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM541+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n102.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 08:04:00 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.06/0.38 -running prover on /export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.38 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpFzYDoS/sel_theBenchmark.p_1']
% 0.06/0.38 -prover status Theorem
% 0.06/0.38 Problem theBenchmark.p solved in phase 0.
% 0.06/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.38 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.38 Solved 1 out of 1.
% 0.06/0.38 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.38 # SZS status Theorem
% 0.06/0.38 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.38 # SZS output end CNFRefutation
%------------------------------------------------------------------------------