TSTP Solution File: NUM596+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM596+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:34:13 EDT 2022
% Result : Theorem 0.81s 140.05s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 18 unt; 0 def)
% Number of atoms : 280 ( 35 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 357 ( 144 ~; 152 |; 42 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 101 ( 4 sgn 46 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mPttSet,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mPttSet) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4730) ).
fof(m__4758,hypothesis,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__4758) ).
fof(mDefPtt,axiom,
! [X1,X2] :
( ( aFunction0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtlbdtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,szDzozmdt0(X1))
& sdtlpdtrp0(X1,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefPtt) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.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/solver/bin/../tmp/theBenchmark.p',mSubTrans) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mNATSet) ).
fof(m__3291,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__3291) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mSubFSet) ).
fof(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mCountNFin) ).
fof(mDirichlet,axiom,
! [X1] :
( aFunction0(X1)
=> ( ( isCountable0(szDzozmdt0(X1))
& isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1))) )
=> ( aElement0(szDzizrdt0(X1))
& isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDirichlet) ).
fof(m__,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(c_0_12,plain,
! [X3,X4] :
( ~ aFunction0(X3)
| ~ aElement0(X4)
| aSubsetOf0(sdtlbdtrb0(X3,X4),szDzozmdt0(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPttSet])]) ).
fof(c_0_13,hypothesis,
! [X4,X5] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk1_2(X4,X5),X5)
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk1_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
| sbrdtbr0(X5) != xk
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
| ~ aSet0(X5)
| sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
| ~ 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)],[m__4730])])])])])])]) ).
fof(c_0_14,hypothesis,
! [X3,X3,X5,X6] :
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ( aElementOf0(esk2_1(X3),szDzozmdt0(xd))
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( sdtlpdtrp0(xd,esk2_1(X3)) = X3
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( ~ aElementOf0(X5,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X5) != X3
| aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& ( ~ aElementOf0(X6,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| aElementOf0(X6,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
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)],[m__4758])])])])])])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,szDzozmdt0(X5))
| ~ aElementOf0(X8,X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( sdtlpdtrp0(X5,X8) = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,szDzozmdt0(X5))
| sdtlpdtrp0(X5,X8) != X6
| aElementOf0(X8,X7)
| X7 != sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk5_3(X5,X6,X7),X7)
| ~ aElementOf0(esk5_3(X5,X6,X7),szDzozmdt0(X5))
| sdtlpdtrp0(X5,esk5_3(X5,X6,X7)) != X6
| ~ aSet0(X7)
| X7 = sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk5_3(X5,X6,X7),szDzozmdt0(X5))
| aElementOf0(esk5_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtlbdtrb0(X5,X6)
| ~ aFunction0(X5)
| ~ aElement0(X6) )
& ( sdtlpdtrp0(X5,esk5_3(X5,X6,X7)) = X6
| aElementOf0(esk5_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtlbdtrb0(X5,X6)
| ~ aFunction0(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)],[mDefPtt])])])])])])]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk16_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk16_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_17,plain,
( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
| ~ aElement0(X2)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,hypothesis,
aFunction0(xd),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ aSet0(X4)
| ~ aSet0(X5)
| ~ aSet0(X6)
| ~ aSubsetOf0(X4,X5)
| ~ aSubsetOf0(X5,X6)
| aSubsetOf0(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
cnf(c_0_21,hypothesis,
( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xd)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( sdtlpdtrp0(X2,X4) = X1
| ~ aElement0(X1)
| ~ aFunction0(X2)
| X3 != sdtlbdtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aFunction0(X2)
| X3 != sdtlbdtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_26,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_27,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,hypothesis,
( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| sdtlpdtrp0(xd,X2) != X1
| ~ aElementOf0(X2,szNzAzT0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_18]),c_0_18]) ).
cnf(c_0_31,plain,
( sdtlpdtrp0(X1,X2) = X3
| ~ aFunction0(X1)
| ~ aElementOf0(X2,sdtlbdtrb0(X1,X3))
| ~ aElement0(X3) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk16_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( aSet0(sdtlbdtrb0(X1,X2))
| ~ aFunction0(X1)
| ~ aElement0(X2) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_34,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,X2))
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_35,hypothesis,
( aSet0(sdtlbdtrb0(xd,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_25]),c_0_26])]) ).
cnf(c_0_36,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_28,c_0_27]),c_0_27]) ).
cnf(c_0_37,hypothesis,
aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
inference(rw,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_38,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
cnf(c_0_39,hypothesis,
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( sdtlpdtrp0(X1,esk16_2(X2,sdtlbdtrb0(X1,X3))) = X3
| aSubsetOf0(sdtlbdtrb0(X1,X3),X2)
| ~ aFunction0(X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_41,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xd,X1),X2)
| aElementOf0(esk16_2(X2,sdtlbdtrb0(xd,X1)),szNzAzT0)
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_32]),c_0_35]) ).
cnf(c_0_42,hypothesis,
aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_43,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ isFinite0(X3)
| ~ aSubsetOf0(X4,X3)
| isFinite0(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)],[mSubFSet])])])])]) ).
cnf(c_0_44,hypothesis,
( aSubsetOf0(X1,xT)
| ~ aSubsetOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_45,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xd,X1),X2)
| aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_40]),c_0_19])]),c_0_41]) ).
cnf(c_0_46,hypothesis,
aSet0(sdtlcdtrc0(xd,szNzAzT0)),
inference(rw,[status(thm)],[c_0_42,c_0_18]) ).
fof(c_0_47,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| ~ isFinite0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mCountNFin])])]) ).
cnf(c_0_48,plain,
( isFinite0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ isFinite0(X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,hypothesis,
( aSubsetOf0(sdtlbdtrb0(xd,X1),xT)
| aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_50,hypothesis,
isFinite0(xT),
inference(split_conjunct,[status(thm)],[m__3291]) ).
fof(c_0_51,plain,
! [X2] :
( ( aElement0(szDzizrdt0(X2))
| ~ isCountable0(szDzozmdt0(X2))
| ~ isFinite0(sdtlcdtrc0(X2,szDzozmdt0(X2)))
| ~ aFunction0(X2) )
& ( isCountable0(sdtlbdtrb0(X2,szDzizrdt0(X2)))
| ~ isCountable0(szDzozmdt0(X2))
| ~ isFinite0(sdtlcdtrc0(X2,szDzozmdt0(X2)))
| ~ aFunction0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])]) ).
cnf(c_0_52,plain,
( ~ isFinite0(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,hypothesis,
( isFinite0(sdtlbdtrb0(xd,X1))
| aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_38])]) ).
cnf(c_0_54,plain,
( aElement0(szDzizrdt0(X1))
| ~ aFunction0(X1)
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,plain,
isCountable0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_56,hypothesis,
isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_48,c_0_37]),c_0_50]),c_0_38])]) ).
fof(c_0_57,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_58,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_59,hypothesis,
( aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
| ~ isCountable0(sdtlbdtrb0(xd,X1))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_52,c_0_53]),c_0_35]) ).
cnf(c_0_60,plain,
( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
| ~ aFunction0(X1)
| ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ isCountable0(szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,hypothesis,
aElement0(szDzizrdt0(xd)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_18]),c_0_19]),c_0_18]),c_0_55])]),c_0_56])]) ).
fof(c_0_62,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
cnf(c_0_63,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0)) ),
inference(rw,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_64,hypothesis,
aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_19]),c_0_18]),c_0_55]),c_0_18]),c_0_56])]) ).
cnf(c_0_65,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_66,hypothesis,
$false,
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : NUM596+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.10 % Command : run_ET %s %d
% 0.09/0.29 % Computer : n021.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue Jul 5 11:53:47 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.25/23.36 eprover: CPU time limit exceeded, terminating
% 0.25/23.39 eprover: CPU time limit exceeded, terminating
% 0.25/23.40 eprover: CPU time limit exceeded, terminating
% 0.27/23.49 eprover: CPU time limit exceeded, terminating
% 0.37/46.40 eprover: CPU time limit exceeded, terminating
% 0.37/46.42 eprover: CPU time limit exceeded, terminating
% 0.37/46.42 eprover: CPU time limit exceeded, terminating
% 0.37/46.51 eprover: CPU time limit exceeded, terminating
% 0.47/69.42 eprover: CPU time limit exceeded, terminating
% 0.47/69.44 eprover: CPU time limit exceeded, terminating
% 0.47/69.45 eprover: CPU time limit exceeded, terminating
% 0.47/69.53 eprover: CPU time limit exceeded, terminating
% 0.58/92.44 eprover: CPU time limit exceeded, terminating
% 0.58/92.45 eprover: CPU time limit exceeded, terminating
% 0.58/92.47 eprover: CPU time limit exceeded, terminating
% 0.58/92.55 eprover: CPU time limit exceeded, terminating
% 0.69/115.45 eprover: CPU time limit exceeded, terminating
% 0.69/115.47 eprover: CPU time limit exceeded, terminating
% 0.69/115.49 eprover: CPU time limit exceeded, terminating
% 0.69/115.57 eprover: CPU time limit exceeded, terminating
% 0.80/138.47 eprover: CPU time limit exceeded, terminating
% 0.80/138.49 eprover: CPU time limit exceeded, terminating
% 0.80/138.50 eprover: CPU time limit exceeded, terminating
% 0.80/138.59 eprover: CPU time limit exceeded, terminating
% 0.81/140.05 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.81/140.05
% 0.81/140.05 # Failure: Resource limit exceeded (time)
% 0.81/140.05 # OLD status Res
% 0.81/140.05 # Preprocessing time : 0.406 s
% 0.81/140.05 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.81/140.05
% 0.81/140.05 # Failure: Resource limit exceeded (time)
% 0.81/140.05 # OLD status Res
% 0.81/140.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.81/140.05 # Preprocessing time : 0.285 s
% 0.81/140.05 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.81/140.05
% 0.81/140.05 # Failure: Resource limit exceeded (time)
% 0.81/140.05 # OLD status Res
% 0.81/140.05 # Preprocessing time : 0.294 s
% 0.81/140.05 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 0.81/140.05
% 0.81/140.05 # Failure: Resource limit exceeded (time)
% 0.81/140.05 # OLD status Res
% 0.81/140.05 # Preprocessing time : 0.211 s
% 0.81/140.05 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 0.81/140.05
% 0.81/140.05 # Failure: Resource limit exceeded (time)
% 0.81/140.05 # OLD status Res
% 0.81/140.05 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 0.81/140.05 # Preprocessing time : 0.270 s
% 0.81/140.05 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 0.81/140.05
% 0.81/140.05 # Failure: Resource limit exceeded (time)
% 0.81/140.05 # OLD status Res
% 0.81/140.05 # Preprocessing time : 0.203 s
% 0.81/140.05 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 0.81/140.05 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 0.81/140.05 # Preprocessing time : 0.054 s
% 0.81/140.05
% 0.81/140.05 # Proof found!
% 0.81/140.05 # SZS status Theorem
% 0.81/140.05 # SZS output start CNFRefutation
% See solution above
% 0.81/140.05 # Proof object total steps : 67
% 0.81/140.05 # Proof object clause steps : 44
% 0.81/140.05 # Proof object formula steps : 23
% 0.81/140.05 # Proof object conjectures : 4
% 0.81/140.05 # Proof object clause conjectures : 1
% 0.81/140.05 # Proof object formula conjectures : 3
% 0.81/140.05 # Proof object initial clauses used : 22
% 0.81/140.05 # Proof object initial formulas used : 12
% 0.81/140.05 # Proof object generating inferences : 17
% 0.81/140.05 # Proof object simplifying inferences : 43
% 0.81/140.05 # Training examples: 0 positive, 0 negative
% 0.81/140.05 # Parsed axioms : 94
% 0.81/140.05 # Removed by relevancy pruning/SinE : 45
% 0.81/140.05 # Initial clauses : 525
% 0.81/140.05 # Removed in clause preprocessing : 5
% 0.81/140.05 # Initial clauses in saturation : 520
% 0.81/140.05 # Processed clauses : 3527
% 0.81/140.05 # ...of these trivial : 11
% 0.81/140.05 # ...subsumed : 1475
% 0.81/140.05 # ...remaining for further processing : 2041
% 0.81/140.05 # Other redundant clauses eliminated : 17
% 0.81/140.05 # Clauses deleted for lack of memory : 0
% 0.81/140.05 # Backward-subsumed : 55
% 0.81/140.05 # Backward-rewritten : 24
% 0.81/140.05 # Generated clauses : 21262
% 0.81/140.05 # ...of the previous two non-trivial : 20844
% 0.81/140.05 # Contextual simplify-reflections : 2659
% 0.81/140.05 # Paramodulations : 21167
% 0.81/140.05 # Factorizations : 0
% 0.81/140.05 # Equation resolutions : 89
% 0.81/140.05 # Current number of processed clauses : 1960
% 0.81/140.05 # Positive orientable unit clauses : 37
% 0.81/140.05 # Positive unorientable unit clauses: 0
% 0.81/140.05 # Negative unit clauses : 6
% 0.81/140.05 # Non-unit-clauses : 1917
% 0.81/140.05 # Current number of unprocessed clauses: 17573
% 0.81/140.05 # ...number of literals in the above : 161871
% 0.81/140.05 # Current number of archived formulas : 0
% 0.81/140.05 # Current number of archived clauses : 79
% 0.81/140.05 # Clause-clause subsumption calls (NU) : 1439477
% 0.81/140.05 # Rec. Clause-clause subsumption calls : 90941
% 0.81/140.05 # Non-unit clause-clause subsumptions : 4093
% 0.81/140.05 # Unit Clause-clause subsumption calls : 3326
% 0.81/140.05 # Rewrite failures with RHS unbound : 0
% 0.81/140.05 # BW rewrite match attempts : 26
% 0.81/140.05 # BW rewrite match successes : 6
% 0.81/140.05 # Condensation attempts : 0
% 0.81/140.05 # Condensation successes : 0
% 0.81/140.05 # Termbank termtop insertions : 517212
% 0.81/140.05
% 0.81/140.05 # -------------------------------------------------
% 0.81/140.05 # User time : 1.133 s
% 0.81/140.05 # System time : 0.014 s
% 0.81/140.05 # Total time : 1.147 s
% 0.81/140.05 # Maximum resident set size: 27620 pages
% 0.81/161.49 eprover: CPU time limit exceeded, terminating
% 0.81/161.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/161.50 eprover: No such file or directory
% 0.81/161.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/161.51 eprover: No such file or directory
% 0.81/161.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/161.51 eprover: No such file or directory
% 0.81/161.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/161.52 eprover: No such file or directory
% 0.81/161.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.81/161.52 eprover: No such file or directory
% 0.81/161.52 eprover: CPU time limit exceeded, terminating
% 0.81/161.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.54 eprover: No such file or directory
% 0.81/161.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.55 eprover: No such file or directory
% 0.81/161.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.55 eprover: No such file or directory
% 0.81/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.56 eprover: No such file or directory
% 0.81/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.56 eprover: No such file or directory
% 0.81/161.60 eprover: CPU time limit exceeded, terminating
% 0.81/161.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.62 eprover: No such file or directory
% 0.81/161.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.62 eprover: No such file or directory
% 0.81/161.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.62 eprover: No such file or directory
% 0.81/161.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.63 eprover: No such file or directory
% 0.81/161.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.81/161.63 eprover: No such file or directory
%------------------------------------------------------------------------------