%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM541+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:33:35 EDT 2022
% Result : Theorem 0.22s 1.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 91 ( 6 unt; 0 def)
% Number of atoms : 341 ( 95 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 404 ( 154 ~; 207 |; 24 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 2 sgn 40 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSeg) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessTotal) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccNum) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessSucc) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNatExtra) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccLess) ).
fof(m__1936,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1936) ).
fof(mLessTrans,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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessTrans) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessASymm) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNatNSucc) ).
fof(mNoScLessZr,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNoScLessZr) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccEquSucc) ).
fof(c_0_13,negated_conjecture,
~ ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_14,plain,
! [X4,X5,X6,X6,X5] :
( ( aSet0(X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk1_2(X4,X5),X5)
| ~ aElementOf0(esk1_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk1_2(X4,X5)),X4)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk1_2(X4,X5),szNzAzT0)
| aElementOf0(esk1_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk1_2(X4,X5)),X4)
| aElementOf0(esk1_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) ) ),
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)],[mDefSeg])])])])])])]) ).
fof(c_0_15,negated_conjecture,
( ( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( xm != xn
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) )
& ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| aElementOf0(xm,slbdtrb0(xn))
| xm = xn ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_16,plain,
( sdtlseqdt0(szszuzczcdt0(X3),X1)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( xm = xn
| aElementOf0(xm,slbdtrb0(xn))
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),X1)
| aElementOf0(xm,slbdtrb0(xn))
| slbdtrb0(szszuzczcdt0(xn)) != slbdtrb0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(szszuzczcdt0(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(c_0_20,plain,
! [X2] :
( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( szszuzczcdt0(X2) != sz00
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_21,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,szszuzczcdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(c_0_25,plain,
! [X3] :
( ( aElementOf0(esk3_1(X3),szNzAzT0)
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) )
& ( X3 = szszuzczcdt0(esk3_1(X3))
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[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)],[mNatExtra])])])])])]) ).
fof(c_0_26,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)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
cnf(c_0_27,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),X1)
| slbdtrb0(xn) != slbdtrb0(X1)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1936]) ).
cnf(c_0_29,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_30,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)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
cnf(c_0_31,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( X1 = sz00
| X1 = szszuzczcdt0(esk3_1(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( X1 = sz00
| aElementOf0(esk3_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_27]),c_0_28])]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1936]) ).
fof(c_0_37,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_38,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(X1))
| sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_39,plain,
( aElementOf0(X3,X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X1)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_40,plain,
( sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( X1 = sz00
| sdtlseqdt0(esk3_1(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_43,plain,
( X1 = sz00
| sdtlseqdt0(X2,esk3_1(X1))
| ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_33]) ).
cnf(c_0_44,negated_conjecture,
( xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_28])]) ).
cnf(c_0_45,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm))
| sdtlseqdt0(szszuzczcdt0(xm),xn) ),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_47,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(szszuzczcdt0(X3))
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23]) ).
cnf(c_0_48,plain,
( X1 = sz00
| sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X2,esk3_1(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_33]) ).
cnf(c_0_49,negated_conjecture,
( xn = xm
| sz00 = xn
| sdtlseqdt0(xm,esk3_1(xn))
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]),c_0_28])]) ).
cnf(c_0_50,plain,
( szszuzczcdt0(X1) = szszuzczcdt0(X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_23]),c_0_23]) ).
cnf(c_0_51,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xm),xn)
| sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_46]),c_0_28]),c_0_36])]) ).
cnf(c_0_52,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( xn = xm
| sz00 = xn
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_28]),c_0_36])]) ).
cnf(c_0_54,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| xn = xm
| sdtlseqdt0(szszuzczcdt0(xm),xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_28]),c_0_36])]),c_0_51]) ).
fof(c_0_55,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| X2 != szszuzczcdt0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
cnf(c_0_56,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(X1))
| sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_57,negated_conjecture,
( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,negated_conjecture,
( sz00 = xn
| xn = xm
| aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_36]),c_0_28])]) ).
cnf(c_0_59,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| xn = xm
| aElementOf0(xm,X1)
| X1 != slbdtrb0(xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_54]),c_0_36]),c_0_28])]) ).
cnf(c_0_60,plain,
( X1 != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xm))
| sdtlseqdt0(szszuzczcdt0(xm),xm) ),
inference(spm,[status(thm)],[c_0_56,c_0_36]) ).
cnf(c_0_62,negated_conjecture,
( xn = xm
| sz00 = xn
| ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| xn = xm
| aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_64,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_23]),c_0_60]) ).
cnf(c_0_65,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xm),xm)
| sdtlseqdt0(xm,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_61]),c_0_36])]) ).
cnf(c_0_66,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| sz00 = xn
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,hypothesis,
sdtlseqdt0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_36])]) ).
cnf(c_0_68,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| xn = xm
| sz00 = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_23]),c_0_28])]) ).
cnf(c_0_69,hypothesis,
aElementOf0(xm,slbdtrb0(szszuzczcdt0(xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_67]),c_0_36])]) ).
cnf(c_0_70,hypothesis,
( sdtlseqdt0(xn,xm)
| aElementOf0(xm,X1)
| X1 != slbdtrb0(xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_36]),c_0_28])]) ).
cnf(c_0_71,negated_conjecture,
( sz00 = xn
| xn = xm
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_68]),c_0_69])]) ).
cnf(c_0_72,hypothesis,
( sdtlseqdt0(xn,xm)
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( sz00 = xn
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_53]),c_0_36]),c_0_28])]) ).
cnf(c_0_74,hypothesis,
( xn = xm
| sz00 = xn
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_75,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),sz00) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mNoScLessZr])])]) ).
cnf(c_0_76,negated_conjecture,
( xn = xm
| sz00 = xn
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_77,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| szszuzczcdt0(X3) != szszuzczcdt0(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
cnf(c_0_78,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X1),sz00)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_79,negated_conjecture,
( sz00 = xn
| xn = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_23]),c_0_28])]) ).
cnf(c_0_80,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( xn = xm
| ~ sdtlseqdt0(szszuzczcdt0(X1),xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
( X1 = esk3_1(X2)
| X2 = sz00
| szszuzczcdt0(X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_32]),c_0_33]) ).
cnf(c_0_83,plain,
( ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_84,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| xn = xm
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_36])]) ).
cnf(c_0_85,plain,
( esk3_1(szszuzczcdt0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_82]),c_0_23]),c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( szszuzczcdt0(xn) = szszuzczcdt0(xm)
| xn = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_23]),c_0_28])]) ).
cnf(c_0_87,negated_conjecture,
( esk3_1(szszuzczcdt0(xm)) = xn
| xn = xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_28])]) ).
cnf(c_0_88,negated_conjecture,
( ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| xm != xn ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_89,negated_conjecture,
xn = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_87]),c_0_36])]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89]),c_0_89]),c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM541+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 19:53:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.42 # Preprocessing time : 0.020 s
% 0.22/1.42
% 0.22/1.42 # Proof found!
% 0.22/1.42 # SZS status Theorem
% 0.22/1.42 # SZS output start CNFRefutation
% See solution above
% 0.22/1.42 # Proof object total steps : 91
% 0.22/1.42 # Proof object clause steps : 65
% 0.22/1.42 # Proof object formula steps : 26
% 0.22/1.42 # Proof object conjectures : 30
% 0.22/1.42 # Proof object clause conjectures : 27
% 0.22/1.42 # Proof object formula conjectures : 3
% 0.22/1.42 # Proof object initial clauses used : 20
% 0.22/1.42 # Proof object initial formulas used : 13
% 0.22/1.42 # Proof object generating inferences : 44
% 0.22/1.42 # Proof object simplifying inferences : 65
% 0.22/1.42 # Training examples: 0 positive, 0 negative
% 0.22/1.42 # Parsed axioms : 54
% 0.22/1.42 # Removed by relevancy pruning/SinE : 5
% 0.22/1.42 # Initial clauses : 86
% 0.22/1.42 # Removed in clause preprocessing : 5
% 0.22/1.42 # Initial clauses in saturation : 81
% 0.22/1.42 # Processed clauses : 859
% 0.22/1.42 # ...of these trivial : 12
% 0.22/1.42 # ...subsumed : 257
% 0.22/1.42 # ...remaining for further processing : 590
% 0.22/1.42 # Other redundant clauses eliminated : 13
% 0.22/1.42 # Clauses deleted for lack of memory : 0
% 0.22/1.42 # Backward-subsumed : 94
% 0.22/1.42 # Backward-rewritten : 190
% 0.22/1.42 # Generated clauses : 3113
% 0.22/1.42 # ...of the previous two non-trivial : 2859
% 0.22/1.42 # Contextual simplify-reflections : 386
% 0.22/1.42 # Paramodulations : 3047
% 0.22/1.42 # Factorizations : 0
% 0.22/1.42 # Equation resolutions : 66
% 0.22/1.42 # Current number of processed clauses : 304
% 0.22/1.42 # Positive orientable unit clauses : 14
% 0.22/1.42 # Positive unorientable unit clauses: 0
% 0.22/1.42 # Negative unit clauses : 4
% 0.22/1.42 # Non-unit-clauses : 286
% 0.22/1.42 # Current number of unprocessed clauses: 1083
% 0.22/1.42 # ...number of literals in the above : 7072
% 0.22/1.42 # Current number of archived formulas : 0
% 0.22/1.42 # Current number of archived clauses : 284
% 0.22/1.42 # Clause-clause subsumption calls (NU) : 69832
% 0.22/1.42 # Rec. Clause-clause subsumption calls : 14359
% 0.22/1.42 # Non-unit clause-clause subsumptions : 683
% 0.22/1.42 # Unit Clause-clause subsumption calls : 444
% 0.22/1.42 # Rewrite failures with RHS unbound : 0
% 0.22/1.42 # BW rewrite match attempts : 7
% 0.22/1.42 # BW rewrite match successes : 5
% 0.22/1.42 # Condensation attempts : 0
% 0.22/1.42 # Condensation successes : 0
% 0.22/1.42 # Termbank termtop insertions : 66072
% 0.22/1.42
% 0.22/1.42 # -------------------------------------------------
% 0.22/1.42 # User time : 0.172 s
% 0.22/1.42 # System time : 0.004 s
% 0.22/1.42 # Total time : 0.176 s
% 0.22/1.42 # Maximum resident set size: 6084 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------