TSTP Solution File: NUM566+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM566+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 09:33:53 EDT 2022
% Result : Theorem 0.25s 4.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 15 unt; 0 def)
% Number of atoms : 324 ( 56 equ)
% Maximal formula atoms : 87 ( 6 avg)
% Number of connectives : 436 ( 163 ~; 160 |; 92 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 72 ( 5 sgn 42 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3476,hypothesis,
( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0)
& ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(slcrc0,xS)
& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3476) ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xK
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> sdtlpdtrp0(xc,X3) = X1 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__3507,hypothesis,
! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = sz00 )
| aElementOf0(X1,slbdtsldtrb0(xS,sz00)) )
=> ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0)
& sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3507) ).
fof(m__3453,hypothesis,
( aFunction0(xc)
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = xK ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& sbrdtbr0(X1) = xK )
=> aElementOf0(X1,szDzozmdt0(xc)) ) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3453) ).
fof(m__3462,hypothesis,
xK = sz00,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3462) ).
fof(mImgRng,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mImgRng) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDomSet) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefEmp) ).
fof(m__3435,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3435) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSubRefl) ).
fof(c_0_10,hypothesis,
! [X2,X3] :
( aSet0(slcrc0)
& ~ aElementOf0(X2,slcrc0)
& ( ~ aElementOf0(X3,slcrc0)
| aElementOf0(X3,xS) )
& aSubsetOf0(slcrc0,xS)
& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
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)],[m__3476])])])])]) ).
fof(c_0_11,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xK
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> sdtlpdtrp0(xc,X3) = X1 ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_12,hypothesis,
! [X3,X5] :
( ( aSet0(slcrc0)
| aElementOf0(esk31_1(X3),X3)
| ~ aSet0(X3)
| sbrdtbr0(X3) != sz00 )
& ( ~ aElementOf0(X5,slcrc0)
| aElementOf0(esk31_1(X3),X3)
| ~ aSet0(X3)
| sbrdtbr0(X3) != sz00 )
& ( sdtlpdtrp0(xc,X3) = sdtlpdtrp0(xc,slcrc0)
| aElementOf0(esk31_1(X3),X3)
| ~ aSet0(X3)
| sbrdtbr0(X3) != sz00 )
& ( aSet0(slcrc0)
| ~ aElementOf0(esk31_1(X3),xS)
| ~ aSet0(X3)
| sbrdtbr0(X3) != sz00 )
& ( ~ aElementOf0(X5,slcrc0)
| ~ aElementOf0(esk31_1(X3),xS)
| ~ aSet0(X3)
| sbrdtbr0(X3) != sz00 )
& ( sdtlpdtrp0(xc,X3) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(esk31_1(X3),xS)
| ~ aSet0(X3)
| sbrdtbr0(X3) != sz00 )
& ( aSet0(slcrc0)
| ~ aSubsetOf0(X3,xS)
| sbrdtbr0(X3) != sz00 )
& ( ~ aElementOf0(X5,slcrc0)
| ~ aSubsetOf0(X3,xS)
| sbrdtbr0(X3) != sz00 )
& ( sdtlpdtrp0(xc,X3) = sdtlpdtrp0(xc,slcrc0)
| ~ aSubsetOf0(X3,xS)
| sbrdtbr0(X3) != sz00 )
& ( aSet0(slcrc0)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,sz00)) )
& ( ~ aElementOf0(X5,slcrc0)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,sz00)) )
& ( sdtlpdtrp0(xc,X3) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X3,slbdtsldtrb0(xS,sz00)) ) ),
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__3507])])])])])])]) ).
fof(c_0_13,hypothesis,
! [X3,X4,X3,X6,X6,X8,X9] :
( aFunction0(xc)
& ( aSet0(X3)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( sbrdtbr0(X3) = xK
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(esk20_1(X3),X3)
| ~ aSet0(X3)
| sbrdtbr0(X3) != xK
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk20_1(X3),xS)
| ~ aSet0(X3)
| sbrdtbr0(X3) != xK
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X3,xS)
| sbrdtbr0(X3) != xK
| aElementOf0(X3,szDzozmdt0(xc)) )
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ( aElementOf0(esk21_1(X6),szDzozmdt0(xc))
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( sdtlpdtrp0(xc,esk21_1(X6)) = X6
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X8) != X6
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),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__3453])])])])])])]) ).
cnf(c_0_14,hypothesis,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
xK = sz00,
inference(split_conjunct,[status(thm)],[m__3462]) ).
fof(c_0_16,negated_conjecture,
! [X5,X6,X9] :
( ( aSet0(esk33_2(X5,X6))
| aElementOf0(esk32_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(X9,esk33_2(X5,X6))
| aElementOf0(X9,X6)
| aElementOf0(esk32_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aSubsetOf0(esk33_2(X5,X6),X6)
| aElementOf0(esk32_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( sbrdtbr0(esk33_2(X5,X6)) = xK
| aElementOf0(esk32_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk33_2(X5,X6),slbdtsldtrb0(X6,xK))
| aElementOf0(esk32_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( sdtlpdtrp0(xc,esk33_2(X5,X6)) != X5
| aElementOf0(esk32_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aSet0(esk33_2(X5,X6))
| ~ aElementOf0(esk32_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(X9,esk33_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(esk32_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aSubsetOf0(esk33_2(X5,X6),X6)
| ~ aElementOf0(esk32_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( sbrdtbr0(esk33_2(X5,X6)) = xK
| ~ aElementOf0(esk32_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk33_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(esk32_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( sdtlpdtrp0(xc,esk33_2(X5,X6)) != X5
| ~ aElementOf0(esk32_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aSet0(esk33_2(X5,X6))
| ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(X9,esk33_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aSubsetOf0(esk33_2(X5,X6),X6)
| ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( sbrdtbr0(esk33_2(X5,X6)) = xK
| ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk33_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& ( sdtlpdtrp0(xc,esk33_2(X5,X6)) != X5
| ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X5,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)],[c_0_11])])])])])])]) ).
cnf(c_0_17,hypothesis,
( sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0)
| sbrdtbr0(X1) != sz00
| ~ aSubsetOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ~ aFunction0(X3)
| ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(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)],[mImgRng])])])])]) ).
cnf(c_0_19,hypothesis,
( sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X1,slbdtsldtrb0(xS,sz00)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X2] :
( ~ aFunction0(X2)
| aSet0(szDzozmdt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
fof(c_0_22,plain,
! [X3,X4,X3] :
( ( aSet0(X3)
| X3 != slcrc0 )
& ( ~ aElementOf0(X4,X3)
| X3 != slcrc0 )
& ( ~ aSet0(X3)
| aElementOf0(esk1_1(X3),X3)
| X3 = slcrc0 ) ),
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)],[mDefEmp])])])])])])]) ).
cnf(c_0_23,hypothesis,
aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS)
| sdtlpdtrp0(xc,esk33_2(X1,X2)) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,hypothesis,
( sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0)
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS) ),
inference(rw,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( sbrdtbr0(esk33_2(X1,X2)) = xK
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_27,hypothesis,
! [X2] :
( aSet0(xS)
& ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
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)],[m__3435])])])])]) ).
cnf(c_0_28,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,hypothesis,
( sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_15]),c_0_20]) ).
cnf(c_0_30,hypothesis,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,hypothesis,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(rw,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_34,negated_conjecture,
( sdtlpdtrp0(xc,slcrc0) != X1
| ~ aSubsetOf0(esk33_2(X1,X2),xS)
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( aSubsetOf0(esk33_2(X1,X2),X2)
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,hypothesis,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_38,plain,
( X1 = slcrc0
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,hypothesis,
aSet0(szDzozmdt0(xc)),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_40,hypothesis,
szDzozmdt0(xc) != slcrc0,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( sdtlpdtrp0(xc,slcrc0) != X1
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_42,hypothesis,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_43,hypothesis,
aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_45,hypothesis,
aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_46,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_47,negated_conjecture,
~ aSubsetOf0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).
cnf(c_0_48,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM566+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 16:41:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.25/4.44 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/4.44 # Preprocessing time : 0.315 s
% 0.25/4.44
% 0.25/4.44 # Proof found!
% 0.25/4.44 # SZS status Theorem
% 0.25/4.44 # SZS output start CNFRefutation
% See solution above
% 0.25/4.44 # Proof object total steps : 51
% 0.25/4.44 # Proof object clause steps : 31
% 0.25/4.44 # Proof object formula steps : 20
% 0.25/4.44 # Proof object conjectures : 11
% 0.25/4.44 # Proof object clause conjectures : 8
% 0.25/4.44 # Proof object formula conjectures : 3
% 0.25/4.44 # Proof object initial clauses used : 17
% 0.25/4.44 # Proof object initial formulas used : 10
% 0.25/4.44 # Proof object generating inferences : 9
% 0.25/4.44 # Proof object simplifying inferences : 17
% 0.25/4.44 # Training examples: 0 positive, 0 negative
% 0.25/4.44 # Parsed axioms : 81
% 0.25/4.44 # Removed by relevancy pruning/SinE : 0
% 0.25/4.44 # Initial clauses : 4171
% 0.25/4.44 # Removed in clause preprocessing : 7
% 0.25/4.44 # Initial clauses in saturation : 4164
% 0.25/4.44 # Processed clauses : 4429
% 0.25/4.44 # ...of these trivial : 13
% 0.25/4.44 # ...subsumed : 123
% 0.25/4.44 # ...remaining for further processing : 4293
% 0.25/4.44 # Other redundant clauses eliminated : 4251
% 0.25/4.44 # Clauses deleted for lack of memory : 0
% 0.25/4.44 # Backward-subsumed : 8
% 0.25/4.44 # Backward-rewritten : 7
% 0.25/4.44 # Generated clauses : 50590
% 0.25/4.44 # ...of the previous two non-trivial : 42132
% 0.25/4.44 # Contextual simplify-reflections : 70
% 0.25/4.44 # Paramodulations : 46143
% 0.25/4.44 # Factorizations : 0
% 0.25/4.44 # Equation resolutions : 4445
% 0.25/4.44 # Current number of processed clauses : 4273
% 0.25/4.44 # Positive orientable unit clauses : 36
% 0.25/4.44 # Positive unorientable unit clauses: 0
% 0.25/4.44 # Negative unit clauses : 17
% 0.25/4.44 # Non-unit-clauses : 4220
% 0.25/4.44 # Current number of unprocessed clauses: 41183
% 0.25/4.44 # ...number of literals in the above : 692239
% 0.25/4.44 # Current number of archived formulas : 0
% 0.25/4.44 # Current number of archived clauses : 17
% 0.25/4.44 # Clause-clause subsumption calls (NU) : 4738484
% 0.25/4.44 # Rec. Clause-clause subsumption calls : 46738
% 0.25/4.44 # Non-unit clause-clause subsumptions : 132
% 0.25/4.44 # Unit Clause-clause subsumption calls : 80488
% 0.25/4.44 # Rewrite failures with RHS unbound : 0
% 0.25/4.44 # BW rewrite match attempts : 6
% 0.25/4.44 # BW rewrite match successes : 6
% 0.25/4.44 # Condensation attempts : 0
% 0.25/4.44 # Condensation successes : 0
% 0.25/4.44 # Termbank termtop insertions : 2926649
% 0.25/4.44
% 0.25/4.44 # -------------------------------------------------
% 0.25/4.44 # User time : 3.740 s
% 0.25/4.44 # System time : 0.041 s
% 0.25/4.44 # Total time : 3.781 s
% 0.25/4.44 # Maximum resident set size: 78452 pages
% 0.25/16.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.14 eprover: No such file or directory
% 0.25/16.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.14 eprover: No such file or directory
% 0.25/16.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.15 eprover: No such file or directory
% 0.25/16.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.15 eprover: No such file or directory
% 0.25/16.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.15 eprover: No such file or directory
% 0.25/16.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.16 eprover: No such file or directory
% 0.25/16.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.16 eprover: No such file or directory
% 0.25/16.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.16 eprover: No such file or directory
% 0.25/16.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.17 eprover: No such file or directory
% 0.25/16.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.17 eprover: No such file or directory
% 0.25/16.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/16.17 eprover: No such file or directory
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------