%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM537+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 09:33:32 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 90 ( 8 unt; 0 def)
% Number of atoms : 453 ( 95 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 632 ( 269 ~; 320 |; 30 &)
% ( 5 <=>; 8 =>; 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 : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 161 ( 5 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).
fof(m__679,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__679) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSub) ).
fof(m__679_02,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__679_02) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefCons) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mConsDiff) ).
fof(m__,conjecture,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(c_0_8,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| X8 = X6
| aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| esk2_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk2_3(X5,X6,X7) != X6
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefDiff])])])])])])]) ).
cnf(c_0_9,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk2_3(X2,X1,X3),X3)
| aElementOf0(esk2_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__679]) ).
fof(c_0_11,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
cnf(c_0_12,hypothesis,
( X1 = sdtmndt0(X2,xx)
| aElementOf0(esk2_3(X2,xx,X1),X1)
| aElementOf0(esk2_3(X2,xx,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_14,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( X3 = sdtmndt0(X2,X1)
| esk2_3(X2,X1,X3) = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk2_3(X2,X1,X3),X2)
| ~ aElement0(esk2_3(X2,X1,X3))
| ~ aElementOf0(esk2_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,hypothesis,
( sdtmndt0(X1,xx) = xS
| aElementOf0(esk2_3(X1,xx,xS),xS)
| aElementOf0(esk2_3(X1,xx,xS),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_18,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk1_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk1_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
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)],[mDefSub])])])])])])]) ).
cnf(c_0_19,plain,
( X1 = X2
| aElementOf0(X2,X3)
| X3 != sdtmndt0(X4,X1)
| ~ aElementOf0(X2,X4)
| ~ aElement0(X1)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( esk2_3(X1,X2,X3) = X2
| X3 = sdtmndt0(X1,X2)
| ~ aElementOf0(esk2_3(X1,X2,X3),X3)
| ~ aElementOf0(esk2_3(X1,X2,X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_22,hypothesis,
( sdtmndt0(xS,xx) = xS
| aElementOf0(esk2_3(xS,xx,xS),xS) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
fof(c_0_23,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[m__679_02]) ).
fof(c_0_24,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( 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(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk3_3(X5,X6,X7),X5)
| ~ aElement0(esk3_3(X5,X6,X7))
| ~ aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk3_3(X5,X6,X7) != X6
| ~ aElement0(esk3_3(X5,X6,X7))
| ~ aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk3_3(X5,X6,X7))
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk3_3(X5,X6,X7),X5)
| esk3_3(X5,X6,X7) = X6
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefCons])])])])])])]) ).
cnf(c_0_25,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( X1 = X2
| aElementOf0(X2,sdtmndt0(X3,X1))
| ~ aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( X3 = sdtmndt0(X2,X1)
| aElementOf0(esk2_3(X2,X1,X3),X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| esk2_3(X2,X1,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,hypothesis,
( esk2_3(xS,xx,xS) = xx
| sdtmndt0(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_21,c_0_22]),c_0_10]),c_0_13])]),c_0_22]) ).
cnf(c_0_30,hypothesis,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( esk1_2(sdtmndt0(X1,X2),X3) = X2
| aSubsetOf0(X3,sdtmndt0(X1,X2))
| ~ aElementOf0(esk1_2(sdtmndt0(X1,X2),X3),X1)
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_35,hypothesis,
sdtmndt0(xS,xx) = xS,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_10]),c_0_13])]),c_0_30]) ).
cnf(c_0_36,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_33,c_0_15]) ).
cnf(c_0_40,hypothesis,
( esk1_2(xS,X1) = xx
| aSubsetOf0(X1,xS)
| ~ aElementOf0(esk1_2(xS,X1),xS)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_10]),c_0_13])]) ).
cnf(c_0_41,plain,
( esk1_2(X1,sdtpldt0(X2,X3)) = X3
| aSubsetOf0(sdtpldt0(X2,X3),X1)
| aElementOf0(esk1_2(X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_42,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_43,hypothesis,
( esk1_2(xS,sdtpldt0(xS,X1)) = xx
| esk1_2(xS,sdtpldt0(xS,X1)) = X1
| 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_40,c_0_41]),c_0_13])]) ).
cnf(c_0_44,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(esk1_2(sdtpldt0(X2,X3),X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_42]),c_0_38]) ).
fof(c_0_45,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| sdtpldt0(sdtmndt0(X3,X4),X4) = X3 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])])])]) ).
cnf(c_0_46,hypothesis,
( esk1_2(xS,sdtpldt0(xS,X1)) = xx
| esk1_2(xS,sdtpldt0(xS,X1)) = X1
| aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_13])]) ).
cnf(c_0_47,plain,
( aSubsetOf0(X1,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_38]) ).
cnf(c_0_48,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,hypothesis,
( esk1_2(xS,sdtpldt0(xS,xx)) = xx
| aSubsetOf0(sdtpldt0(xS,xx),xS) ),
inference(spm,[status(thm)],[c_0_46,c_0_10]) ).
cnf(c_0_50,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,hypothesis,
( aSet0(X1)
| X1 != xS ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_35]),c_0_10]),c_0_13])]) ).
cnf(c_0_52,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_27]),c_0_15]) ).
cnf(c_0_54,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_55,hypothesis,
( aSubsetOf0(sdtpldt0(xS,xx),xS)
| aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_49]),c_0_13])]) ).
cnf(c_0_56,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X1)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_57,hypothesis,
( X1 = sdtmndt0(X2,xx)
| aElementOf0(esk2_3(X2,xx,X1),X2)
| aElementOf0(esk2_3(X2,xx,X1),X1)
| X1 != xS
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_51]) ).
cnf(c_0_58,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,hypothesis,
( aElementOf0(xx,sdtpldt0(xS,xx))
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_13])]) ).
cnf(c_0_60,plain,
( aElementOf0(X1,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_61,hypothesis,
( X1 = sdtmndt0(sdtmndt0(X2,X3),xx)
| aElementOf0(esk2_3(sdtmndt0(X2,X3),xx,X1),sdtmndt0(X2,X3))
| aElementOf0(esk2_3(sdtmndt0(X2,X3),xx,X1),X1)
| X1 != xS
| ~ aElementOf0(X3,X2)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,hypothesis,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_10]),c_0_13])]),c_0_30]) ).
cnf(c_0_63,hypothesis,
( X1 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,X1),sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,X1),X1)
| X1 != xS
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65,hypothesis,
( X1 = sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,X1),sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,X1),X1)
| X1 != xS ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_38]),c_0_10]),c_0_13])]) ).
cnf(c_0_66,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_67,hypothesis,
( sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),xS) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_68,hypothesis,
( sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),sdtpldt0(xS,xx))
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_10])]) ).
cnf(c_0_69,hypothesis,
( esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS) = xx
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_68]),c_0_10]),c_0_13])]) ).
cnf(c_0_70,hypothesis,
( esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS) = xx
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| ~ aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_69]),c_0_10]),c_0_13])]) ).
cnf(c_0_71,hypothesis,
( esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS) = xx
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| ~ aElementOf0(esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS),sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_26]),c_0_10])]) ).
cnf(c_0_72,hypothesis,
( esk2_3(sdtmndt0(sdtpldt0(xS,xx),xx),xx,xS) = xx
| sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_42]),c_0_10]),c_0_13])]),c_0_69]) ).
fof(c_0_73,negated_conjecture,
~ ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_74,plain,
( esk1_2(sdtmndt0(X1,X2),X1) = X2
| aSubsetOf0(X1,sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_27]) ).
cnf(c_0_75,hypothesis,
( sdtmndt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = xS
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_72]),c_0_10]),c_0_13])]),c_0_30]) ).
cnf(c_0_76,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk1_2(X3,sdtmndt0(X1,X2)),X1)
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_37]),c_0_27]) ).
cnf(c_0_77,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_78,negated_conjecture,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(fof_nnf,[status(thm)],[c_0_73]) ).
cnf(c_0_79,hypothesis,
( esk1_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_10])]) ).
cnf(c_0_80,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X1)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_76]),c_0_27]) ).
cnf(c_0_81,plain,
( X1 != sdtmndt0(X2,X3)
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,hypothesis,
( aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_13])]) ).
cnf(c_0_84,hypothesis,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_10])]) ).
cnf(c_0_85,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_10])]) ).
cnf(c_0_88,negated_conjecture,
~ aSet0(sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_27]),c_0_10])]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_38]),c_0_10]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM537+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 23:19:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.016 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 90
% 0.25/1.43 # Proof object clause steps : 74
% 0.25/1.43 # Proof object formula steps : 16
% 0.25/1.43 # Proof object conjectures : 8
% 0.25/1.43 # Proof object clause conjectures : 5
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 21
% 0.25/1.43 # Proof object initial formulas used : 8
% 0.25/1.43 # Proof object generating inferences : 48
% 0.25/1.43 # Proof object simplifying inferences : 75
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 20
% 0.25/1.43 # Removed by relevancy pruning/SinE : 7
% 0.25/1.43 # Initial clauses : 33
% 0.25/1.43 # Removed in clause preprocessing : 2
% 0.25/1.43 # Initial clauses in saturation : 31
% 0.25/1.43 # Processed clauses : 1114
% 0.25/1.43 # ...of these trivial : 18
% 0.25/1.43 # ...subsumed : 565
% 0.25/1.43 # ...remaining for further processing : 531
% 0.25/1.43 # Other redundant clauses eliminated : 7
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 82
% 0.25/1.43 # Backward-rewritten : 15
% 0.25/1.43 # Generated clauses : 6480
% 0.25/1.43 # ...of the previous two non-trivial : 5981
% 0.25/1.43 # Contextual simplify-reflections : 872
% 0.25/1.43 # Paramodulations : 6455
% 0.25/1.43 # Factorizations : 1
% 0.25/1.43 # Equation resolutions : 22
% 0.25/1.43 # Current number of processed clauses : 430
% 0.25/1.43 # Positive orientable unit clauses : 6
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 4
% 0.25/1.43 # Non-unit-clauses : 420
% 0.25/1.43 # Current number of unprocessed clauses: 3955
% 0.25/1.43 # ...number of literals in the above : 33329
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 99
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 73438
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 15564
% 0.25/1.43 # Non-unit clause-clause subsumptions : 1458
% 0.25/1.43 # Unit Clause-clause subsumption calls : 445
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 2
% 0.25/1.43 # BW rewrite match successes : 2
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 195909
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.268 s
% 0.25/1.43 # System time : 0.005 s
% 0.25/1.43 # Total time : 0.273 s
% 0.25/1.43 # Maximum resident set size: 8864 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------