%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM633+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : 300s
% DateTime : Tue May 5 04:58:13 PM UTC 2026
% Result : Theorem 50.29s 29.59s
% Output : CNFRefutation 50.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 335 ( 61 equ)
% Maximal formula atoms : 229 ( 17 avg)
% Number of connectives : 499 ( 183 ~; 193 |; 103 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xO) ) )
| aSubsetOf0(X1,xO) )
& sbrdtbr0(X1) = xK )
| aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
| X1 = slcrc0 )
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = szDzizrdt0(xd) ) )
=> ? [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/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4998,hypothesis,
( ! [X1] :
( aElementOf0(X1,xO)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(m__4908,hypothesis,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X1] :
( ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xO) ) )
| aSubsetOf0(X1,xO) )
& sbrdtbr0(X1) = xK )
| aElementOf0(X1,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [X2] : aElementOf0(X2,X1)
| X1 = slcrc0 )
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(X1,szNzAzT0)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& aElementOf0(X1,szDzozmdt0(xc))
& sdtlpdtrp0(xc,X1) = szDzizrdt0(xd) ) )
=> ? [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_5,negated_conjecture,
! [X494,X497,X498,X499,X500,X501,X504] :
( ( aElementOf0(esk41_1(X494),X494)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( X494 != slcrc0
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X497,X494)
| aElementOf0(X497,szNzAzT0)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,szNzAzT0)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X498,X494)
| aElementOf0(X498,xS)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,xS)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X499,X494)
| aElementOf0(X499,xS)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,xS)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aElementOf0(X494,szDzozmdt0(xc))
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( sdtlpdtrp0(xc,X494) = szDzizrdt0(xd)
| aElementOf0(esk40_1(X494),X494)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aElementOf0(esk41_1(X494),X494)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( X494 != slcrc0
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X497,X494)
| aElementOf0(X497,szNzAzT0)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,szNzAzT0)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X498,X494)
| aElementOf0(X498,xS)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,xS)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X499,X494)
| aElementOf0(X499,xS)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,xS)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aElementOf0(X494,szDzozmdt0(xc))
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( sdtlpdtrp0(xc,X494) = szDzizrdt0(xd)
| ~ aElementOf0(esk40_1(X494),xO)
| ~ aSet0(X494)
| sbrdtbr0(X494) != xK )
& ( aElementOf0(esk41_1(X494),X494)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( X494 != slcrc0
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X497,X494)
| aElementOf0(X497,szNzAzT0)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,szNzAzT0)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X498,X494)
| aElementOf0(X498,xS)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,xS)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( ~ aElementOf0(X499,X494)
| aElementOf0(X499,xS)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( aSubsetOf0(X494,xS)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( aElementOf0(X494,szDzozmdt0(xc))
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( sdtlpdtrp0(xc,X494) = szDzizrdt0(xd)
| ~ aSubsetOf0(X494,xO)
| sbrdtbr0(X494) != xK )
& ( aElementOf0(esk41_1(X494),X494)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( X494 != slcrc0
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( ~ aElementOf0(X497,X494)
| aElementOf0(X497,szNzAzT0)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( aSubsetOf0(X494,szNzAzT0)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( ~ aElementOf0(X498,X494)
| aElementOf0(X498,xS)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( aSubsetOf0(X494,xS)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( ~ aElementOf0(X499,X494)
| aElementOf0(X499,xS)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( aSubsetOf0(X494,xS)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( aElementOf0(X494,szDzozmdt0(xc))
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( sdtlpdtrp0(xc,X494) = szDzizrdt0(xd)
| ~ aElementOf0(X494,slbdtsldtrb0(xO,xK)) )
& ( aSet0(esk43_2(X500,X501))
| aElementOf0(esk42_2(X500,X501),X501)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( ~ aElementOf0(X504,esk43_2(X500,X501))
| aElementOf0(X504,X501)
| aElementOf0(esk42_2(X500,X501),X501)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aSubsetOf0(esk43_2(X500,X501),X501)
| aElementOf0(esk42_2(X500,X501),X501)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( sbrdtbr0(esk43_2(X500,X501)) = xK
| aElementOf0(esk42_2(X500,X501),X501)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aElementOf0(esk43_2(X500,X501),slbdtsldtrb0(X501,xK))
| aElementOf0(esk42_2(X500,X501),X501)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( sdtlpdtrp0(xc,esk43_2(X500,X501)) != X500
| aElementOf0(esk42_2(X500,X501),X501)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aSet0(esk43_2(X500,X501))
| ~ aElementOf0(esk42_2(X500,X501),xS)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( ~ aElementOf0(X504,esk43_2(X500,X501))
| aElementOf0(X504,X501)
| ~ aElementOf0(esk42_2(X500,X501),xS)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aSubsetOf0(esk43_2(X500,X501),X501)
| ~ aElementOf0(esk42_2(X500,X501),xS)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( sbrdtbr0(esk43_2(X500,X501)) = xK
| ~ aElementOf0(esk42_2(X500,X501),xS)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aElementOf0(esk43_2(X500,X501),slbdtsldtrb0(X501,xK))
| ~ aElementOf0(esk42_2(X500,X501),xS)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( sdtlpdtrp0(xc,esk43_2(X500,X501)) != X500
| ~ aElementOf0(esk42_2(X500,X501),xS)
| ~ aSet0(X501)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aSet0(esk43_2(X500,X501))
| ~ aSubsetOf0(X501,xS)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( ~ aElementOf0(X504,esk43_2(X500,X501))
| aElementOf0(X504,X501)
| ~ aSubsetOf0(X501,xS)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aSubsetOf0(esk43_2(X500,X501),X501)
| ~ aSubsetOf0(X501,xS)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( sbrdtbr0(esk43_2(X500,X501)) = xK
| ~ aSubsetOf0(X501,xS)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( aElementOf0(esk43_2(X500,X501),slbdtsldtrb0(X501,xK))
| ~ aSubsetOf0(X501,xS)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) )
& ( sdtlpdtrp0(xc,esk43_2(X500,X501)) != X500
| ~ aSubsetOf0(X501,xS)
| ~ isCountable0(X501)
| ~ aElementOf0(X500,xT) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_6,hypothesis,
! [X493] :
( ( ~ aElementOf0(X493,xO)
| aElementOf0(X493,xS) )
& aSubsetOf0(xO,xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4998])])]) ).
cnf(c_0_7,negated_conjecture,
( aElementOf0(esk43_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
aSubsetOf0(xO,xS),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,hypothesis,
isCountable0(xO),
inference(split_conjunct,[status(thm)],[m__4908]) ).
fof(c_0_10,hypothesis,
! [X484] :
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( aElementOf0(X484,szDzozmdt0(xd))
| ~ aElementOf0(X484,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xd,X484) = szDzizrdt0(xd)
| ~ aElementOf0(X484,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X484,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X484) != szDzizrdt0(xd)
| aElementOf0(X484,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4854])])])]) ).
cnf(c_0_11,hypothesis,
( aElementOf0(esk43_2(X1,xO),slbdtsldtrb0(xO,xK))
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,hypothesis,
aElementOf0(szDzizrdt0(xd),xT),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( sdtlpdtrp0(xc,esk43_2(X1,X2)) != X1
| ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( sdtlpdtrp0(xc,X1) = szDzizrdt0(xd)
| ~ aElementOf0(X1,slbdtsldtrb0(xO,xK)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk43_2(szDzizrdt0(xd),xO),slbdtsldtrb0(xO,xK)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
( sdtlpdtrp0(xc,esk43_2(X1,xO)) != X1
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_8]),c_0_9])]) ).
cnf(c_0_17,negated_conjecture,
sdtlpdtrp0(xc,esk43_2(szDzizrdt0(xd),xO)) = szDzizrdt0(xd),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM633+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n011.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 00:52:02 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 50.29/29.59 % Version : CSE_E---1.7
% 50.29/29.59 % Problem : theBenchmark.p
% 50.29/29.59 % SZS status Theorem for theBenchmark.p
% 50.29/29.59 % SZS output start CNFRefutation
% See solution above
% 50.49/29.75 % Total time : 22.882s
%------------------------------------------------------------------------------