%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM544+2 : 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 : n009.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 1.28s 1.85s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 141 ( 23 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 174 ( 62 ~; 60 |; 33 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 1 sgn 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(m__,conjecture,
( ~ ( ~ ? [X1] : aElementOf0(X1,xS)
| xS = slcrc0 )
=> ( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) ) )
=> ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1986,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
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(c_0_5,plain,
! [X187,X188,X189,X190] :
( ( aElementOf0(X188,X187)
| X188 != szmzazxdt0(X187)
| ~ aSubsetOf0(X187,szNzAzT0)
| ~ isFinite0(X187)
| X187 = slcrc0 )
& ( ~ aElementOf0(X189,X187)
| sdtlseqdt0(X189,X188)
| X188 != szmzazxdt0(X187)
| ~ aSubsetOf0(X187,szNzAzT0)
| ~ isFinite0(X187)
| X187 = slcrc0 )
& ( aElementOf0(esk8_2(X187,X190),X187)
| ~ aElementOf0(X190,X187)
| X190 = szmzazxdt0(X187)
| ~ aSubsetOf0(X187,szNzAzT0)
| ~ isFinite0(X187)
| X187 = slcrc0 )
& ( ~ sdtlseqdt0(esk8_2(X187,X190),X190)
| ~ aElementOf0(X190,X187)
| X190 = szmzazxdt0(X187)
| ~ aSubsetOf0(X187,szNzAzT0)
| ~ isFinite0(X187)
| X187 = 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_6,plain,
! [X105,X106,X107] :
( ( aSet0(X105)
| X105 != slcrc0 )
& ( ~ aElementOf0(X106,X105)
| X105 != slcrc0 )
& ( ~ aSet0(X107)
| aElementOf0(esk1_1(X107),X107)
| X107 = 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])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ( ~ ( ~ ? [X1] : aElementOf0(X1,xS)
| xS = slcrc0 )
=> ( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) ) )
=> ( ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_8,plain,
( sdtlseqdt0(X1,X3)
| X2 = slcrc0
| ~ aElementOf0(X1,X2)
| X3 != szmzazxdt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ aElementOf0(X1,X2)
| X2 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,hypothesis,
! [X205] :
( aSet0(xS)
& ( ~ aElementOf0(X205,xS)
| aElementOf0(X205,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1986])])]) ).
fof(c_0_11,negated_conjecture,
! [X207,X208] :
( aElementOf0(esk10_0,xS)
& xS != slcrc0
& aElementOf0(szmzazxdt0(xS),xS)
& ( ~ aElementOf0(X207,xS)
| sdtlseqdt0(X207,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ( aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X208,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ( sdtlseqdt0(szszuzczcdt0(X208),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(X208,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ( ~ aElementOf0(X208,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X208),szszuzczcdt0(szmzazxdt0(xS)))
| aElementOf0(X208,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aElementOf0(esk11_0,xS)
& ~ aElementOf0(esk11_0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
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_7])])])])]) ).
cnf(c_0_12,plain,
( sdtlseqdt0(X1,X2)
| X2 != szmzazxdt0(X3)
| ~ aSubsetOf0(X3,szNzAzT0)
| ~ isFinite0(X3)
| ~ aElementOf0(X1,X3) ),
inference(csr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
isFinite0(xS),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X158,X159] :
( ( ~ sdtlseqdt0(X158,X159)
| sdtlseqdt0(szszuzczcdt0(X158),szszuzczcdt0(X159))
| ~ aElementOf0(X158,szNzAzT0)
| ~ aElementOf0(X159,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X158),szszuzczcdt0(X159))
| sdtlseqdt0(X158,X159)
| ~ aElementOf0(X158,szNzAzT0)
| ~ aElementOf0(X159,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
cnf(c_0_16,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
aElementOf0(szmzazxdt0(xS),xS),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,hypothesis,
( sdtlseqdt0(X1,X2)
| X2 != szmzazxdt0(xS)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_19,negated_conjecture,
aElementOf0(esk11_0,xS),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(szmzazxdt0(xS))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,hypothesis,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( sdtlseqdt0(esk11_0,X1)
| X1 != szmzazxdt0(xS) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
~ aElementOf0(esk11_0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sdtlseqdt0(X1,szmzazxdt0(xS))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
sdtlseqdt0(esk11_0,szmzazxdt0(xS)),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
aElementOf0(esk11_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.21 % Problem : NUM544+2 : TPTP v9.2.1. Released v4.0.0.
% 0.02/0.21 % 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
% 0.11/0.43 % Computer : n009.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8042.1875MB
% 0.11/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Tue May 5 00:43:41 EDT 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.45 % start to proof: theBenchmark
% 1.28/1.85 % Version : CSE_E---1.7
% 1.28/1.85 % Problem : theBenchmark.p
% 1.28/1.85 % SZS status Theorem for theBenchmark.p
% 1.28/1.85 % SZS output start CNFRefutation
% See solution above
% 1.28/1.85 % Total time : 1.381s
%------------------------------------------------------------------------------