TSTP Solution File: NUM542+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM542+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:56:16 EDT 2023
% Result : Theorem 4.15s 0.97s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 73 ( 8 unt; 0 def)
% Number of atoms : 260 ( 25 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 322 ( 135 ~; 148 |; 23 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn; 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',m__) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mLessTotal) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mLessASymm) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mDefSub) ).
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/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mDefSeg) ).
fof(m__1964,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',m__1964) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mLessSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mSuccNum) ).
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/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mLessTrans) ).
fof(mNatNSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> X1 != szszuzczcdt0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mNatNSucc) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p',mNATSet) ).
fof(c_0_11,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_12,plain,
! [X36,X37] :
( ~ aElementOf0(X36,szNzAzT0)
| ~ aElementOf0(X37,szNzAzT0)
| sdtlseqdt0(X36,X37)
| sdtlseqdt0(szszuzczcdt0(X37),X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(c_0_13,plain,
! [X31,X32] :
( ~ aElementOf0(X31,szNzAzT0)
| ~ aElementOf0(X32,szNzAzT0)
| ~ sdtlseqdt0(X31,X32)
| ~ sdtlseqdt0(X32,X31)
| X31 = X32 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
fof(c_0_14,plain,
! [X5,X6,X7,X8] :
( ( aSet0(X6)
| ~ aSubsetOf0(X6,X5)
| ~ aSet0(X5) )
& ( ~ aElementOf0(X7,X6)
| aElementOf0(X7,X5)
| ~ aSubsetOf0(X6,X5)
| ~ aSet0(X5) )
& ( aElementOf0(esk1_2(X5,X8),X8)
| ~ aSet0(X8)
| aSubsetOf0(X8,X5)
| ~ aSet0(X5) )
& ( ~ aElementOf0(esk1_2(X5,X8),X5)
| ~ aSet0(X8)
| aSubsetOf0(X8,X5)
| ~ aSet0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).
fof(c_0_15,negated_conjecture,
( ( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
& ( sdtlseqdt0(xm,xn)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X18,X19,X20,X21,X22] :
( ( aSet0(X19)
| X19 != slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) )
& ( aElementOf0(X20,szNzAzT0)
| ~ aElementOf0(X20,X19)
| X19 != slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X20),X18)
| ~ aElementOf0(X20,X19)
| X19 != slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) )
& ( ~ aElementOf0(X21,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X21),X18)
| aElementOf0(X21,X19)
| X19 != slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) )
& ( ~ aElementOf0(esk2_2(X18,X22),X22)
| ~ aElementOf0(esk2_2(X18,X22),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk2_2(X18,X22)),X18)
| ~ aSet0(X22)
| X22 = slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) )
& ( aElementOf0(esk2_2(X18,X22),szNzAzT0)
| aElementOf0(esk2_2(X18,X22),X22)
| ~ aSet0(X22)
| X22 = slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk2_2(X18,X22)),X18)
| aElementOf0(esk2_2(X18,X22),X22)
| ~ aSet0(X22)
| X22 = slbdtrb0(X18)
| ~ aElementOf0(X18,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])]) ).
cnf(c_0_17,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X29] :
( ~ aElementOf0(X29,szNzAzT0)
| sdtlseqdt0(X29,szszuzczcdt0(X29)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
cnf(c_0_21,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),X1)
| sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1964]) ).
cnf(c_0_27,hypothesis,
( X1 = xn
| ~ sdtlseqdt0(xn,X1)
| ~ sdtlseqdt0(X1,xn)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_28,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm))
| ~ aSet0(slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_33,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,hypothesis,
( szszuzczcdt0(xn) = xn
| ~ sdtlseqdt0(szszuzczcdt0(xn),xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18])]) ).
cnf(c_0_35,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18])]) ).
cnf(c_0_37,hypothesis,
( sdtlseqdt0(xm,xn)
| aElementOf0(xn,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),c_0_18])]) ).
cnf(c_0_38,plain,
( aElementOf0(esk1_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_39,hypothesis,
( szszuzczcdt0(xn) = xn
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,slbdtrb0(xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18])]) ).
cnf(c_0_40,negated_conjecture,
( sdtlseqdt0(xm,xn)
| aElementOf0(xn,slbdtrb0(xn)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_41,plain,
! [X47] :
( ( aElementOf0(szszuzczcdt0(X47),szNzAzT0)
| ~ aElementOf0(X47,szNzAzT0) )
& ( szszuzczcdt0(X47) != sz00
| ~ aElementOf0(X47,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_42,plain,
( aSubsetOf0(slbdtrb0(X1),X2)
| aElementOf0(esk1_2(X2,slbdtrb0(X1)),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
fof(c_0_43,plain,
! [X33,X34,X35] :
( ~ aElementOf0(X33,szNzAzT0)
| ~ aElementOf0(X34,szNzAzT0)
| ~ aElementOf0(X35,szNzAzT0)
| ~ sdtlseqdt0(X33,X34)
| ~ sdtlseqdt0(X34,X35)
| sdtlseqdt0(X33,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).
fof(c_0_44,plain,
! [X40] :
( ~ aElementOf0(X40,szNzAzT0)
| X40 != szszuzczcdt0(X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).
cnf(c_0_45,hypothesis,
( szszuzczcdt0(xn) = xn
| sdtlseqdt0(xm,xn)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_48,hypothesis,
( aSubsetOf0(slbdtrb0(xm),X1)
| aElementOf0(esk1_2(X1,slbdtrb0(xm)),slbdtrb0(xm))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_49,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( ~ aElementOf0(X1,szNzAzT0)
| X1 != szszuzczcdt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,hypothesis,
( szszuzczcdt0(xn) = xn
| sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_18])]) ).
cnf(c_0_53,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_54,hypothesis,
( aSubsetOf0(slbdtrb0(xm),szNzAzT0)
| aElementOf0(esk1_2(szNzAzT0,slbdtrb0(xm)),slbdtrb0(xm)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X2,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_50,c_0_18]) ).
cnf(c_0_56,hypothesis,
sdtlseqdt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_18])]) ).
cnf(c_0_57,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk1_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_58,hypothesis,
( aSubsetOf0(slbdtrb0(xm),szNzAzT0)
| aElementOf0(esk1_2(szNzAzT0,slbdtrb0(xm)),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26])]) ).
cnf(c_0_59,hypothesis,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26])]) ).
cnf(c_0_60,hypothesis,
( aSubsetOf0(slbdtrb0(xm),szNzAzT0)
| ~ aSet0(slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_49])]) ).
cnf(c_0_61,hypothesis,
( aElementOf0(X1,slbdtrb0(xn))
| ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_59]),c_0_18])]),c_0_46]) ).
cnf(c_0_62,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm))
| ~ aSet0(slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_60]),c_0_49])]) ).
cnf(c_0_63,negated_conjecture,
( ~ sdtlseqdt0(xm,xn)
| ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_64,hypothesis,
( aElementOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(X1,slbdtrb0(xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_35]),c_0_26])]) ).
cnf(c_0_65,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_31]),c_0_26])]) ).
cnf(c_0_66,hypothesis,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(X1))
| aElementOf0(esk1_2(slbdtrb0(X1),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_48,c_0_31]) ).
cnf(c_0_67,negated_conjecture,
~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_56])]) ).
cnf(c_0_68,hypothesis,
( aSubsetOf0(X1,slbdtrb0(xn))
| ~ aElementOf0(esk1_2(slbdtrb0(xn),X1),slbdtrb0(xm))
| ~ aSet0(slbdtrb0(xn))
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_64]),c_0_65]) ).
cnf(c_0_69,hypothesis,
aElementOf0(esk1_2(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_18]),c_0_67]) ).
cnf(c_0_70,hypothesis,
( ~ aSet0(slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xm)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_67]) ).
cnf(c_0_71,hypothesis,
~ aSet0(slbdtrb0(xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_31]),c_0_18])]) ).
cnf(c_0_72,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_31]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM542+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 15:16:51 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.lZMBjlmdIs/E---3.1_11635.p
% 4.15/0.97 # Version: 3.1pre001
% 4.15/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.15/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.15/0.97 # Starting new_bool_1 with 300s (1) cores
% 4.15/0.97 # Starting sh5l with 300s (1) cores
% 4.15/0.97 # new_bool_3 with pid 11714 completed with status 0
% 4.15/0.97 # Result found by new_bool_3
% 4.15/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.15/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.15/0.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.15/0.97 # Search class: FGHSF-FFMM21-MFFFFFNN
% 4.15/0.97 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 4.15/0.97 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11718 completed with status 0
% 4.15/0.97 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.15/0.97 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.15/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.15/0.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.15/0.97 # Search class: FGHSF-FFMM21-MFFFFFNN
% 4.15/0.97 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 4.15/0.97 # Preprocessing time : 0.001 s
% 4.15/0.97 # Presaturation interreduction done
% 4.15/0.97
% 4.15/0.97 # Proof found!
% 4.15/0.97 # SZS status Theorem
% 4.15/0.97 # SZS output start CNFRefutation
% See solution above
% 4.15/0.97 # Parsed axioms : 55
% 4.15/0.97 # Removed by relevancy pruning/SinE : 13
% 4.15/0.97 # Initial clauses : 64
% 4.15/0.97 # Removed in clause preprocessing : 4
% 4.15/0.97 # Initial clauses in saturation : 60
% 4.15/0.97 # Processed clauses : 5774
% 4.15/0.97 # ...of these trivial : 31
% 4.15/0.97 # ...subsumed : 3998
% 4.15/0.97 # ...remaining for further processing : 1745
% 4.15/0.97 # Other redundant clauses eliminated : 13
% 4.15/0.97 # Clauses deleted for lack of memory : 0
% 4.15/0.97 # Backward-subsumed : 382
% 4.15/0.97 # Backward-rewritten : 75
% 4.15/0.97 # Generated clauses : 20577
% 4.15/0.97 # ...of the previous two non-redundant : 18971
% 4.15/0.97 # ...aggressively subsumed : 0
% 4.15/0.97 # Contextual simplify-reflections : 345
% 4.15/0.97 # Paramodulations : 20546
% 4.15/0.97 # Factorizations : 0
% 4.15/0.97 # NegExts : 0
% 4.15/0.97 # Equation resolutions : 26
% 4.15/0.97 # Total rewrite steps : 10065
% 4.15/0.97 # Propositional unsat checks : 0
% 4.15/0.97 # Propositional check models : 0
% 4.15/0.97 # Propositional check unsatisfiable : 0
% 4.15/0.97 # Propositional clauses : 0
% 4.15/0.97 # Propositional clauses after purity: 0
% 4.15/0.97 # Propositional unsat core size : 0
% 4.15/0.97 # Propositional preprocessing time : 0.000
% 4.15/0.97 # Propositional encoding time : 0.000
% 4.15/0.97 # Propositional solver time : 0.000
% 4.15/0.97 # Success case prop preproc time : 0.000
% 4.15/0.97 # Success case prop encoding time : 0.000
% 4.15/0.97 # Success case prop solver time : 0.000
% 4.15/0.97 # Current number of processed clauses : 1214
% 4.15/0.97 # Positive orientable unit clauses : 33
% 4.15/0.97 # Positive unorientable unit clauses: 0
% 4.15/0.97 # Negative unit clauses : 16
% 4.15/0.97 # Non-unit-clauses : 1165
% 4.15/0.97 # Current number of unprocessed clauses: 12474
% 4.15/0.97 # ...number of literals in the above : 62732
% 4.15/0.97 # Current number of archived formulas : 0
% 4.15/0.97 # Current number of archived clauses : 522
% 4.15/0.97 # Clause-clause subsumption calls (NU) : 197193
% 4.15/0.97 # Rec. Clause-clause subsumption calls : 71945
% 4.15/0.97 # Non-unit clause-clause subsumptions : 3685
% 4.15/0.97 # Unit Clause-clause subsumption calls : 3961
% 4.15/0.97 # Rewrite failures with RHS unbound : 0
% 4.15/0.97 # BW rewrite match attempts : 26
% 4.15/0.97 # BW rewrite match successes : 22
% 4.15/0.97 # Condensation attempts : 0
% 4.15/0.97 # Condensation successes : 0
% 4.15/0.97 # Termbank termtop insertions : 366774
% 4.15/0.97
% 4.15/0.97 # -------------------------------------------------
% 4.15/0.97 # User time : 0.522 s
% 4.15/0.97 # System time : 0.011 s
% 4.15/0.97 # Total time : 0.533 s
% 4.15/0.97 # Maximum resident set size: 1876 pages
% 4.15/0.97
% 4.15/0.97 # -------------------------------------------------
% 4.15/0.97 # User time : 0.523 s
% 4.15/0.97 # System time : 0.013 s
% 4.15/0.97 # Total time : 0.537 s
% 4.15/0.97 # Maximum resident set size: 1732 pages
% 4.15/0.97 % E---3.1 exiting
% 4.15/0.98 % E---3.1 exiting
%------------------------------------------------------------------------------