TSTP Solution File: NUM534+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM534+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:56:13 EDT 2023
% Result : Theorem 30.39s 4.63s
% Output : CNFRefutation 30.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 10
% Syntax : Number of formulae : 130 ( 14 unt; 0 def)
% Number of atoms : 596 ( 95 equ)
% Maximal formula atoms : 54 ( 4 avg)
% Number of connectives : 829 ( 363 ~; 415 |; 35 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 263 ( 11 sgn; 45 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mEOfElem) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mDefCons) ).
fof(m__617_02,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',m__617_02) ).
fof(m__617,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',m__617) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mDefSub) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mSubTrans) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mSubASymm) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mDefDiff) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',mDefEmp) ).
fof(m__,conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) = xS,
file('/export/starexec/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p',m__) ).
fof(c_0_10,plain,
! [X19,X20] :
( ~ aSet0(X19)
| ~ aElementOf0(X20,X19)
| aElement0(X20) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_11,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| X8 = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X9,X5)
| ~ aElement0(X9)
| aElementOf0(X9,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X9 != X6
| ~ aElement0(X9)
| aElementOf0(X9,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk1_3(X5,X6,X10),X5)
| ~ aElement0(esk1_3(X5,X6,X10))
| ~ aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk1_3(X5,X6,X10) != X6
| ~ aElement0(esk1_3(X5,X6,X10))
| ~ aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk1_3(X5,X6,X10))
| aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk1_3(X5,X6,X10),X5)
| esk1_3(X5,X6,X10) = X6
| aElementOf0(esk1_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefCons])])])])])]) ).
cnf(c_0_12,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__617_02]) ).
cnf(c_0_14,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__617]) ).
cnf(c_0_15,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( aElementOf0(esk1_3(X1,X2,X3),X1)
| esk1_3(X1,X2,X3) = X2
| aElementOf0(esk1_3(X1,X2,X3),X3)
| X3 = sdtpldt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
fof(c_0_18,plain,
! [X27,X28,X29,X30] :
( ( aSet0(X28)
| ~ aSubsetOf0(X28,X27)
| ~ aSet0(X27) )
& ( ~ aElementOf0(X29,X28)
| aElementOf0(X29,X27)
| ~ aSubsetOf0(X28,X27)
| ~ aSet0(X27) )
& ( aElementOf0(esk4_2(X27,X30),X30)
| ~ aSet0(X30)
| aSubsetOf0(X30,X27)
| ~ aSet0(X27) )
& ( ~ aElementOf0(esk4_2(X27,X30),X27)
| ~ aSet0(X30)
| aSubsetOf0(X30,X27)
| ~ aSet0(X27) ) ),
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])])])])])]) ).
cnf(c_0_19,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,hypothesis,
( esk1_3(X1,xx,X2) = xx
| X2 = sdtpldt0(X1,xx)
| aElementOf0(esk1_3(X1,xx,X2),X2)
| aElementOf0(esk1_3(X1,xx,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk4_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( X3 = sdtpldt0(X1,X2)
| ~ aElementOf0(esk1_3(X1,X2,X3),X1)
| ~ aElement0(esk1_3(X1,X2,X3))
| ~ aElementOf0(esk1_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,hypothesis,
( esk1_3(X1,xx,xS) = xx
| sdtpldt0(X1,xx) = xS
| aElementOf0(esk1_3(X1,xx,xS),xS)
| aElementOf0(esk1_3(X1,xx,xS),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
fof(c_0_27,plain,
! [X37,X38,X39] :
( ~ aSet0(X37)
| ~ aSet0(X38)
| ~ aSet0(X39)
| ~ aSubsetOf0(X37,X38)
| ~ aSubsetOf0(X38,X39)
| aSubsetOf0(X37,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
cnf(c_0_28,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(esk4_2(sdtpldt0(X2,X3),X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_29,plain,
( aElementOf0(esk4_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( X1 = sdtpldt0(X2,X3)
| ~ aElementOf0(esk1_3(X2,X3,X1),X1)
| ~ aElementOf0(esk1_3(X2,X3,X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_31,hypothesis,
( esk1_3(xS,xx,xS) = xx
| sdtpldt0(xS,xx) = xS
| aElementOf0(esk1_3(xS,xx,xS),xS) ),
inference(spm,[status(thm)],[c_0_26,c_0_14]) ).
cnf(c_0_32,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
( X3 = sdtpldt0(X1,X2)
| esk1_3(X1,X2,X3) != X2
| ~ aElement0(esk1_3(X1,X2,X3))
| ~ aElementOf0(esk1_3(X1,X2,X3),X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,plain,
( aSubsetOf0(X1,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_24]) ).
cnf(c_0_36,hypothesis,
( esk1_3(xS,xx,xS) = xx
| sdtpldt0(xS,xx) = xS ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17]),c_0_14])]),c_0_31]) ).
cnf(c_0_37,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_32,c_0_33]),c_0_33]) ).
cnf(c_0_38,plain,
( X1 = sdtpldt0(X2,X3)
| esk1_3(X2,X3,X1) != X3
| ~ aElementOf0(esk1_3(X2,X3,X1),X1)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_34,c_0_12]) ).
cnf(c_0_39,hypothesis,
( esk1_3(xS,xx,xS) = xx
| aSubsetOf0(xS,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_17]),c_0_14])]) ).
cnf(c_0_40,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aSubsetOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_24]) ).
cnf(c_0_42,hypothesis,
( sdtpldt0(xS,xx) = xS
| aSubsetOf0(xS,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_13]),c_0_17]),c_0_14])]) ).
cnf(c_0_43,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,X4)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24]) ).
cnf(c_0_44,hypothesis,
aSubsetOf0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_42]),c_0_17]),c_0_14])]) ).
cnf(c_0_45,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,X2))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_14])]) ).
cnf(c_0_46,hypothesis,
( aSubsetOf0(X1,sdtpldt0(xS,X2))
| ~ aElementOf0(esk4_2(sdtpldt0(xS,X2),X1),xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,X2))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_47,hypothesis,
( aSubsetOf0(xS,sdtpldt0(xS,X1))
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_14])]) ).
fof(c_0_48,plain,
! [X35,X36] :
( ~ aSet0(X35)
| ~ aSet0(X36)
| ~ aSubsetOf0(X35,X36)
| ~ aSubsetOf0(X36,X35)
| X35 = X36 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
cnf(c_0_49,hypothesis,
( aSubsetOf0(X1,sdtpldt0(xS,X2))
| ~ aSubsetOf0(X1,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_47]) ).
cnf(c_0_50,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,plain,
( X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_53,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_55,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_51,c_0_33]) ).
cnf(c_0_56,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_24]),c_0_14])]) ).
cnf(c_0_57,plain,
( esk4_2(X1,sdtpldt0(X2,X3)) = X3
| aSubsetOf0(sdtpldt0(X2,X3),X1)
| aElementOf0(esk4_2(X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_29]),c_0_24]) ).
cnf(c_0_58,plain,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_54]) ).
fof(c_0_59,plain,
! [X12,X13,X14,X15,X16,X17] :
( ( aSet0(X14)
| X14 != sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( aElement0(X15)
| ~ aElementOf0(X15,X14)
| X14 != sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( aElementOf0(X15,X12)
| ~ aElementOf0(X15,X14)
| X14 != sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( X15 != X13
| ~ aElementOf0(X15,X14)
| X14 != sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( ~ aElement0(X16)
| ~ aElementOf0(X16,X12)
| X16 = X13
| aElementOf0(X16,X14)
| X14 != sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( ~ aElementOf0(esk2_3(X12,X13,X17),X17)
| ~ aElement0(esk2_3(X12,X13,X17))
| ~ aElementOf0(esk2_3(X12,X13,X17),X12)
| esk2_3(X12,X13,X17) = X13
| ~ aSet0(X17)
| X17 = sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( aElement0(esk2_3(X12,X13,X17))
| aElementOf0(esk2_3(X12,X13,X17),X17)
| ~ aSet0(X17)
| X17 = sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( aElementOf0(esk2_3(X12,X13,X17),X12)
| aElementOf0(esk2_3(X12,X13,X17),X17)
| ~ aSet0(X17)
| X17 = sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) )
& ( esk2_3(X12,X13,X17) != X13
| aElementOf0(esk2_3(X12,X13,X17),X17)
| ~ aSet0(X17)
| X17 = sdtmndt0(X12,X13)
| ~ aSet0(X12)
| ~ aElement0(X13) ) ),
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)],[mDefDiff])])])])])]) ).
cnf(c_0_60,hypothesis,
( sdtpldt0(xS,X1) = X2
| ~ aSubsetOf0(sdtpldt0(xS,X1),X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_56]) ).
cnf(c_0_61,plain,
( esk4_2(X1,sdtpldt0(X1,X2)) = X2
| aSubsetOf0(sdtpldt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_57]),c_0_24]) ).
cnf(c_0_62,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xS)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_14])]) ).
cnf(c_0_63,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,hypothesis,
( sdtpldt0(xS,X1) = sdtpldt0(xS,X2)
| ~ aSubsetOf0(sdtpldt0(xS,X2),xS)
| ~ aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_49]),c_0_56]),c_0_56]) ).
cnf(c_0_66,plain,
( aSubsetOf0(sdtpldt0(X1,X2),X1)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_61]),c_0_24]),c_0_12]) ).
cnf(c_0_67,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_62,c_0_17]) ).
cnf(c_0_68,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_69,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_70,hypothesis,
( sdtpldt0(xS,X1) = sdtpldt0(xS,X2)
| ~ aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElementOf0(X2,xS)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_14])]),c_0_67]) ).
fof(c_0_71,plain,
! [X21,X22,X23] :
( ( aSet0(X21)
| X21 != slcrc0 )
& ( ~ aElementOf0(X22,X21)
| X21 != slcrc0 )
& ( ~ aSet0(X23)
| aElementOf0(esk3_1(X23),X23)
| X23 = slcrc0 ) ),
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)],[mDefEmp])])])])])]) ).
cnf(c_0_72,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk4_2(X3,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_29]),c_0_69]) ).
cnf(c_0_73,hypothesis,
( sdtpldt0(xS,X1) = sdtpldt0(xS,X2)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_14])]),c_0_67]) ).
cnf(c_0_74,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_75,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aSubsetOf0(X1,X4)
| ~ aSubsetOf0(X4,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_41]),c_0_24]) ).
cnf(c_0_76,plain,
( aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X1,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_72]),c_0_24]),c_0_69]) ).
cnf(c_0_77,hypothesis,
( aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElementOf0(X2,xS)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_73]),c_0_14])]) ).
cnf(c_0_78,plain,
( aElementOf0(esk3_1(X1),X1)
| X1 = slcrc0
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,hypothesis,
xS != slcrc0,
inference(spm,[status(thm)],[c_0_74,c_0_13]) ).
cnf(c_0_80,plain,
( aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X3,X4))
| ~ aSubsetOf0(sdtpldt0(X1,X5),X3)
| ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,hypothesis,
( aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElementOf0(X1,xS) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_14])]),c_0_79]) ).
cnf(c_0_82,hypothesis,
( aSubsetOf0(sdtmndt0(xS,X1),sdtpldt0(xS,X2))
| ~ aElementOf0(X3,xS)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_14])]),c_0_67]) ).
cnf(c_0_83,hypothesis,
( aSubsetOf0(sdtmndt0(xS,X1),sdtpldt0(xS,X2))
| aSubsetOf0(xS,X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_29]),c_0_14])]) ).
cnf(c_0_84,hypothesis,
( aSubsetOf0(sdtmndt0(xS,X1),sdtpldt0(xS,xx))
| aSubsetOf0(xS,X2)
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_17]) ).
cnf(c_0_85,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_72]),c_0_69]) ).
cnf(c_0_86,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx))
| aSubsetOf0(xS,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_17]) ).
cnf(c_0_87,hypothesis,
( aSet0(sdtmndt0(xS,X1))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_85]),c_0_14])]) ).
cnf(c_0_88,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx))
| aSubsetOf0(xS,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_24]) ).
cnf(c_0_89,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aSubsetOf0(X1,sdtpldt0(xS,X2))
| ~ aElementOf0(X2,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_81]),c_0_14])]) ).
cnf(c_0_90,plain,
( aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X3,X4))
| ~ aSubsetOf0(X1,X3)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_85]),c_0_33]) ).
cnf(c_0_91,hypothesis,
( aSet0(sdtmndt0(xS,X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_17]) ).
cnf(c_0_92,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx))
| aSubsetOf0(xS,sdtpldt0(X1,xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_17]) ).
cnf(c_0_93,hypothesis,
( aSubsetOf0(sdtmndt0(X1,X2),xS)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X3,xS)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_14])]),c_0_67]) ).
cnf(c_0_94,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx))
| aSubsetOf0(xS,sdtmndt0(xS,X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_91]) ).
cnf(c_0_95,hypothesis,
( sdtpldt0(xS,X1) = xS
| ~ aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_47]),c_0_14])]) ).
cnf(c_0_96,hypothesis,
( aSet0(sdtpldt0(xS,X1))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_66]),c_0_14])]) ).
cnf(c_0_97,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx))
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,X1),xx))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_91]) ).
cnf(c_0_98,hypothesis,
( aSubsetOf0(sdtmndt0(X1,X2),xS)
| ~ aSubsetOf0(X1,xS)
| ~ aElement0(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_78]),c_0_14])]),c_0_79]) ).
cnf(c_0_99,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X3,X2)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_66]) ).
cnf(c_0_100,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx))
| aSubsetOf0(xS,sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_94,c_0_17]) ).
cnf(c_0_101,hypothesis,
( sdtpldt0(xS,X1) = xS
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_66]),c_0_14])]),c_0_96]),c_0_67]) ).
cnf(c_0_102,hypothesis,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_97,c_0_17]) ).
fof(c_0_103,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_104,plain,
( esk4_2(X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X4
| aSubsetOf0(sdtpldt0(sdtmndt0(X2,X3),X4),X1)
| aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_69]) ).
cnf(c_0_105,plain,
( sdtpldt0(X1,X2) = sdtmndt0(X3,X4)
| ~ aSubsetOf0(sdtpldt0(X1,X2),sdtmndt0(X3,X4))
| ~ aSubsetOf0(X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aSet0(sdtmndt0(X3,X4))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_90]) ).
cnf(c_0_106,hypothesis,
( aSet0(sdtmndt0(X1,X2))
| ~ aSubsetOf0(X1,xS)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_98]),c_0_14])]) ).
cnf(c_0_107,hypothesis,
( aSubsetOf0(xS,sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(xS,xx),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_13]),c_0_14])]) ).
cnf(c_0_108,hypothesis,
( aSet0(X1)
| X1 != xS
| ~ aElementOf0(X2,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_101]),c_0_14])]),c_0_67]) ).
cnf(c_0_109,hypothesis,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(xS,xx),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_102]),c_0_13]),c_0_14])]) ).
cnf(c_0_110,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,plain,
( esk4_2(X1,sdtpldt0(sdtmndt0(X1,X2),X3)) = X3
| aSubsetOf0(sdtpldt0(sdtmndt0(X1,X2),X3),X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aSet0(sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_104]) ).
cnf(c_0_112,hypothesis,
( sdtmndt0(X1,X2) = xS
| ~ aSubsetOf0(xS,sdtmndt0(X1,X2))
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X3,xS)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_101]),c_0_14])]),c_0_106]),c_0_67]) ).
cnf(c_0_113,hypothesis,
( aSubsetOf0(xS,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_107]),c_0_14])]) ).
cnf(c_0_114,hypothesis,
( aSet0(X1)
| X1 != xS ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_78]),c_0_14])]),c_0_79]) ).
cnf(c_0_115,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),xS)
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_109]),c_0_14])]),c_0_110]) ).
cnf(c_0_116,plain,
( aSubsetOf0(sdtpldt0(sdtmndt0(X1,X2),X3),X1)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_111]),c_0_12]) ).
cnf(c_0_117,hypothesis,
( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_44]),c_0_17])]),c_0_114]) ).
cnf(c_0_118,hypothesis,
( aSubsetOf0(sdtmndt0(xS,xx),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_13]),c_0_17]),c_0_14])]) ).
cnf(c_0_119,hypothesis,
aSet0(sdtmndt0(xS,xx)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_78]),c_0_14])]),c_0_79]) ).
cnf(c_0_120,hypothesis,
aSubsetOf0(sdtmndt0(xS,xx),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_24]),c_0_17]),c_0_119])]) ).
cnf(c_0_121,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_120]),c_0_14])]) ).
cnf(c_0_122,hypothesis,
( esk1_3(sdtmndt0(X1,X2),xx,xS) = xx
| sdtpldt0(sdtmndt0(X1,X2),xx) = xS
| aElementOf0(esk1_3(sdtmndt0(X1,X2),xx,xS),sdtmndt0(X1,X2))
| aElementOf0(esk1_3(sdtmndt0(X1,X2),xx,xS),xS)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_69]) ).
cnf(c_0_123,plain,
( X1 = X3
| aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X2)
| X4 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_124,hypothesis,
( esk1_3(sdtmndt0(xS,xx),xx,xS) = xx
| aElementOf0(esk1_3(sdtmndt0(xS,xx),xx,xS),xS) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_17]),c_0_14])]),c_0_110]) ).
cnf(c_0_125,plain,
( X1 = X2
| aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aElementOf0(X1,X4)
| ~ aElement0(X2)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_123,c_0_12]) ).
cnf(c_0_126,hypothesis,
( esk1_3(sdtmndt0(xS,xx),xx,xS) = xx
| ~ aElementOf0(esk1_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_124]),c_0_17]),c_0_14]),c_0_119])]),c_0_110]) ).
cnf(c_0_127,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_125]) ).
cnf(c_0_128,hypothesis,
esk1_3(sdtmndt0(xS,xx),xx,xS) = xx,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_17]),c_0_14])]),c_0_124]) ).
cnf(c_0_129,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_128]),c_0_13]),c_0_17]),c_0_14]),c_0_119])]),c_0_110]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM534+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 14:11:41 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.7KLLDlxWaw/E---3.1_18231.p
% 30.39/4.63 # Version: 3.1pre001
% 30.39/4.63 # Preprocessing class: FSMSSMSSSSSNFFN.
% 30.39/4.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.39/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.39/4.63 # Starting new_bool_3 with 300s (1) cores
% 30.39/4.63 # Starting new_bool_1 with 300s (1) cores
% 30.39/4.63 # Starting sh5l with 300s (1) cores
% 30.39/4.63 # sh5l with pid 18312 completed with status 0
% 30.39/4.63 # Result found by sh5l
% 30.39/4.63 # Preprocessing class: FSMSSMSSSSSNFFN.
% 30.39/4.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.39/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.39/4.63 # Starting new_bool_3 with 300s (1) cores
% 30.39/4.63 # Starting new_bool_1 with 300s (1) cores
% 30.39/4.63 # Starting sh5l with 300s (1) cores
% 30.39/4.63 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.39/4.63 # Search class: FGHSF-FFMS32-SFFFFFNN
% 30.39/4.63 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 30.39/4.63 # Starting G-E--_301_C18_F1_URBAN_S0Y with 181s (1) cores
% 30.39/4.63 # G-E--_301_C18_F1_URBAN_S0Y with pid 18314 completed with status 0
% 30.39/4.63 # Result found by G-E--_301_C18_F1_URBAN_S0Y
% 30.39/4.63 # Preprocessing class: FSMSSMSSSSSNFFN.
% 30.39/4.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.39/4.63 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.39/4.63 # Starting new_bool_3 with 300s (1) cores
% 30.39/4.63 # Starting new_bool_1 with 300s (1) cores
% 30.39/4.63 # Starting sh5l with 300s (1) cores
% 30.39/4.63 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.39/4.63 # Search class: FGHSF-FFMS32-SFFFFFNN
% 30.39/4.63 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 30.39/4.63 # Starting G-E--_301_C18_F1_URBAN_S0Y with 181s (1) cores
% 30.39/4.63 # Preprocessing time : 0.002 s
% 30.39/4.63
% 30.39/4.63 # Proof found!
% 30.39/4.63 # SZS status Theorem
% 30.39/4.63 # SZS output start CNFRefutation
% See solution above
% 30.39/4.63 # Parsed axioms : 19
% 30.39/4.63 # Removed by relevancy pruning/SinE : 0
% 30.39/4.63 # Initial clauses : 40
% 30.39/4.63 # Removed in clause preprocessing : 4
% 30.39/4.63 # Initial clauses in saturation : 36
% 30.39/4.63 # Processed clauses : 5575
% 30.39/4.63 # ...of these trivial : 126
% 30.39/4.63 # ...subsumed : 3507
% 30.39/4.63 # ...remaining for further processing : 1942
% 30.39/4.63 # Other redundant clauses eliminated : 27
% 30.39/4.63 # Clauses deleted for lack of memory : 0
% 30.39/4.63 # Backward-subsumed : 283
% 30.39/4.63 # Backward-rewritten : 168
% 30.39/4.63 # Generated clauses : 93665
% 30.39/4.63 # ...of the previous two non-redundant : 90621
% 30.39/4.63 # ...aggressively subsumed : 0
% 30.39/4.63 # Contextual simplify-reflections : 669
% 30.39/4.63 # Paramodulations : 93556
% 30.39/4.63 # Factorizations : 2
% 30.39/4.63 # NegExts : 0
% 30.39/4.63 # Equation resolutions : 101
% 30.39/4.63 # Total rewrite steps : 32390
% 30.39/4.63 # Propositional unsat checks : 0
% 30.39/4.63 # Propositional check models : 0
% 30.39/4.63 # Propositional check unsatisfiable : 0
% 30.39/4.63 # Propositional clauses : 0
% 30.39/4.63 # Propositional clauses after purity: 0
% 30.39/4.63 # Propositional unsat core size : 0
% 30.39/4.63 # Propositional preprocessing time : 0.000
% 30.39/4.63 # Propositional encoding time : 0.000
% 30.39/4.63 # Propositional solver time : 0.000
% 30.39/4.63 # Success case prop preproc time : 0.000
% 30.39/4.63 # Success case prop encoding time : 0.000
% 30.39/4.63 # Success case prop solver time : 0.000
% 30.39/4.63 # Current number of processed clauses : 1483
% 30.39/4.63 # Positive orientable unit clauses : 15
% 30.39/4.63 # Positive unorientable unit clauses: 0
% 30.39/4.63 # Negative unit clauses : 4
% 30.39/4.63 # Non-unit-clauses : 1464
% 30.39/4.63 # Current number of unprocessed clauses: 83590
% 30.39/4.63 # ...number of literals in the above : 769932
% 30.39/4.63 # Current number of archived formulas : 0
% 30.39/4.63 # Current number of archived clauses : 457
% 30.39/4.63 # Clause-clause subsumption calls (NU) : 1105142
% 30.39/4.63 # Rec. Clause-clause subsumption calls : 61818
% 30.39/4.63 # Non-unit clause-clause subsumptions : 3747
% 30.39/4.63 # Unit Clause-clause subsumption calls : 7074
% 30.39/4.63 # Rewrite failures with RHS unbound : 0
% 30.39/4.63 # BW rewrite match attempts : 20
% 30.39/4.63 # BW rewrite match successes : 10
% 30.39/4.63 # Condensation attempts : 0
% 30.39/4.63 # Condensation successes : 0
% 30.39/4.63 # Termbank termtop insertions : 3270146
% 30.39/4.63
% 30.39/4.63 # -------------------------------------------------
% 30.39/4.63 # User time : 3.826 s
% 30.39/4.63 # System time : 0.083 s
% 30.39/4.63 # Total time : 3.909 s
% 30.39/4.63 # Maximum resident set size: 1884 pages
% 30.39/4.63
% 30.39/4.63 # -------------------------------------------------
% 30.39/4.63 # User time : 3.829 s
% 30.39/4.63 # System time : 0.084 s
% 30.39/4.63 # Total time : 3.913 s
% 30.39/4.63 # Maximum resident set size: 1688 pages
% 30.39/4.63 % E---3.1 exiting
% 30.39/4.63 % E---3.1 exiting
%------------------------------------------------------------------------------