%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM544+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 04:57:46 PM UTC 2026
% Result : Theorem 22.50s 13.72s
% Output : CNFRefutation 22.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 219 ( 41 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 290 ( 122 ~; 125 |; 28 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 1 sgn 32 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mDefMax,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& isFinite0(X1)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzazxdt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(m__1986,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(c_0_9,negated_conjecture,
~ ( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_10,plain,
! [X106,X107,X108,X109] :
( ( aSet0(X107)
| ~ aSubsetOf0(X107,X106)
| ~ aSet0(X106) )
& ( ~ aElementOf0(X108,X107)
| aElementOf0(X108,X106)
| ~ aSubsetOf0(X107,X106)
| ~ aSet0(X106) )
& ( aElementOf0(esk2_2(X106,X109),X109)
| ~ aSet0(X109)
| aSubsetOf0(X109,X106)
| ~ aSet0(X106) )
& ( ~ aElementOf0(esk2_2(X106,X109),X106)
| ~ aSet0(X109)
| aSubsetOf0(X109,X106)
| ~ aSet0(X106) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).
fof(c_0_11,plain,
! [X189,X190,X191,X192,X193] :
( ( aSet0(X190)
| X190 != slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) )
& ( aElementOf0(X191,szNzAzT0)
| ~ aElementOf0(X191,X190)
| X190 != slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X191),X189)
| ~ aElementOf0(X191,X190)
| X190 != slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) )
& ( ~ aElementOf0(X192,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X192),X189)
| aElementOf0(X192,X190)
| X190 != slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X189,X193),X193)
| ~ aElementOf0(esk9_2(X189,X193),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X189,X193)),X189)
| ~ aSet0(X193)
| X193 = slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) )
& ( aElementOf0(esk9_2(X189,X193),szNzAzT0)
| aElementOf0(esk9_2(X189,X193),X193)
| ~ aSet0(X193)
| X193 = slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X189,X193)),X189)
| aElementOf0(esk9_2(X189,X193),X193)
| ~ aSet0(X193)
| X193 = slbdtrb0(X189)
| ~ aElementOf0(X189,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])]) ).
fof(c_0_12,plain,
! [X145] :
( ( aElementOf0(szszuzczcdt0(X145),szNzAzT0)
| ~ aElementOf0(X145,szNzAzT0) )
& ( szszuzczcdt0(X145) != sz00
| ~ aElementOf0(X145,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_13,plain,
! [X182,X183,X184,X185] :
( ( aElementOf0(X183,X182)
| X183 != szmzazxdt0(X182)
| ~ aSubsetOf0(X182,szNzAzT0)
| ~ isFinite0(X182)
| X182 = slcrc0 )
& ( ~ aElementOf0(X184,X182)
| sdtlseqdt0(X184,X183)
| X183 != szmzazxdt0(X182)
| ~ aSubsetOf0(X182,szNzAzT0)
| ~ isFinite0(X182)
| X182 = slcrc0 )
& ( aElementOf0(esk8_2(X182,X185),X182)
| ~ aElementOf0(X185,X182)
| X185 = szmzazxdt0(X182)
| ~ aSubsetOf0(X182,szNzAzT0)
| ~ isFinite0(X182)
| X182 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X182,X185),X185)
| ~ aElementOf0(X185,X182)
| X185 = szmzazxdt0(X182)
| ~ aSubsetOf0(X182,szNzAzT0)
| ~ isFinite0(X182)
| X182 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMax])])])])])]) ).
fof(c_0_14,negated_conjecture,
( xS != slcrc0
& ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__1986]) ).
cnf(c_0_17,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_18,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[m__1986]) ).
cnf(c_0_22,negated_conjecture,
xS != slcrc0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_23,plain,
! [X153,X154] :
( ( ~ sdtlseqdt0(X153,X154)
| sdtlseqdt0(szszuzczcdt0(X153),szszuzczcdt0(X154))
| ~ aElementOf0(X153,szNzAzT0)
| ~ aElementOf0(X154,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X153),szszuzczcdt0(X154))
| sdtlseqdt0(X153,X154)
| ~ aElementOf0(X153,szNzAzT0)
| ~ aElementOf0(X154,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(c_0_24,plain,
! [X100,X101,X102] :
( ( aSet0(X100)
| X100 != slcrc0 )
& ( ~ aElementOf0(X101,X100)
| X100 != slcrc0 )
& ( ~ aSet0(X102)
| aElementOf0(esk1_1(X102),X102)
| X102 = slcrc0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])]) ).
cnf(c_0_25,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_27,plain,
( aSet0(X1)
| X1 != slbdtrb0(szszuzczcdt0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,hypothesis,
( aElementOf0(X1,xS)
| X1 != szmzazxdt0(xS) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_21])]),c_0_22]) ).
cnf(c_0_30,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,hypothesis,
( aSubsetOf0(xS,X1)
| aElementOf0(esk2_2(X1,xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
( aSet0(slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_16]),c_0_17])]) ).
cnf(c_0_37,hypothesis,
aElementOf0(szmzazxdt0(xS),xS),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(szszuzczcdt0(X3))
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_19]) ).
cnf(c_0_39,plain,
( sdtlseqdt0(X1,X2)
| X2 != szmzazxdt0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ isFinite0(X3)
| ~ aElementOf0(X1,X3) ),
inference(csr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,hypothesis,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(X1)))
| aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(X1)),xS),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,hypothesis,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_44,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_45,hypothesis,
( sdtlseqdt0(X1,X2)
| X2 != szmzazxdt0(xS)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_21])]) ).
cnf(c_0_46,hypothesis,
aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),xS),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_47,plain,
( aSubsetOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ sdtlseqdt0(esk2_2(slbdtrb0(szszuzczcdt0(X2)),X1),X2)
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(X2)),X1),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]) ).
cnf(c_0_48,hypothesis,
( sdtlseqdt0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),X1)
| X1 != szmzazxdt0(xS) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,hypothesis,
aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0),
inference(spm,[status(thm)],[c_0_36,c_0_46]) ).
cnf(c_0_50,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_41]),c_0_26])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM544+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:43:09 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 22.50/13.72 % Version : CSE_E---1.7
% 22.50/13.72 % Problem : theBenchmark.p
% 22.50/13.72 % SZS status Theorem for theBenchmark.p
% 22.50/13.72 % SZS output start CNFRefutation
% See solution above
% 22.60/13.80 % Total time : 10.385s
%------------------------------------------------------------------------------