%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:41 PM UTC 2026
% Result : Theorem 0.45s 0.55s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 72 ( 10 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 78 ( 22 ~; 18 |; 30 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4448_02,hypothesis,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(m__,conjecture,
( aSubsetOf0(xY,szNzAzT0)
| ! [X1] :
( aElementOf0(X1,xY)
=> aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__4448,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).
fof(c_0_4,hypothesis,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X1] :
( aElementOf0(X1,xY)
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& aElement0(X1) ) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(fof_simplification,[status(thm)],[m__4448_02]) ).
fof(c_0_5,hypothesis,
! [X42,X43] :
( ( ~ aElementOf0(X42,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X42)) )
& ( ~ aElementOf0(X42,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X42),szNzAzT0) )
& ( ~ aElementOf0(X42,szNzAzT0)
| aElementOf0(X43,szNzAzT0)
| ~ aElementOf0(X43,sdtlpdtrp0(xN,X42)) )
& ( ~ aElementOf0(X42,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X42)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])])]) ).
fof(c_0_6,hypothesis,
! [X60,X61] :
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ( aElementOf0(X61,xY)
| X61 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X61,sdtlpdtrp0(xN,xi))
| ~ aElement0(X61) )
& ( ~ aElementOf0(X61,xY)
| X61 != szmzizndt0(sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(X61,xY)
| aElementOf0(X61,sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(X61,xY)
| aElement0(X61) )
& aSet0(xY)
& ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X60)
| ~ aElementOf0(X60,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ( aSubsetOf0(xY,szNzAzT0)
| ! [X1] :
( aElementOf0(X1,xY)
=> aElementOf0(X1,szNzAzT0) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_8,hypothesis,
( ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( ~ aElementOf0(X1,xY)
| aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4448]) ).
fof(c_0_11,negated_conjecture,
( ~ aSubsetOf0(xY,szNzAzT0)
& ~ aElementOf0(esk15_0,szNzAzT0)
& aElementOf0(esk15_0,xY) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,hypothesis,
( ~ aElementOf0(X1,xY)
| aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk15_0,xY),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ aElementOf0(esk15_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM590+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 02:42:32 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.55 % Version: 3.5.1
% 0.45/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.45/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.45/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.55 % Starting sh5l with 300s (1) cores
% 0.45/0.55 % new_bool_1 with pid 1397758 completed with status 0
% 0.45/0.55 % Result found by new_bool_1
% 0.45/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.45/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.45/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.45/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.45/0.55 % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.45/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.45/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.45/0.55 % SubtermCWHack with pid 1397760 completed with status 0
% 0.45/0.55 % Result found by SubtermCWHack
% 0.45/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.45/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.45/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.45/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.45/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.45/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.45/0.55 % Search class: FGHSF-SMLM32-MFFFFFNN
% 0.45/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.45/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.45/0.55 % Preprocessing time : 0.059 s
% 0.45/0.55
% 0.45/0.55 % Proof found!
% 0.45/0.55 % SZS status Theorem
% 0.45/0.55 % SZS output start CNFRefutation
% See solution above
% 0.45/0.55 % Parsed axioms : 92
% 0.45/0.55 % Removed by relevancy pruning/SinE : 5
% 0.45/0.55 % Initial clauses : 4806
% 0.45/0.55 % Removed in clause preprocessing : 7
% 0.45/0.55 % Initial clauses in saturation : 4799
% 0.45/0.55 % Processed clauses : 222
% 0.45/0.55 % ...of these trivial : 1
% 0.45/0.55 % ...subsumed : 28
% 0.45/0.55 % ...remaining for further processing : 193
% 0.45/0.55 % Other redundant clauses eliminated : 14
% 0.45/0.55 % Clauses deleted for lack of memory : 0
% 0.45/0.55 % Backward-subsumed : 4
% 0.45/0.55 % Backward-rewritten : 2
% 0.45/0.55 % Generated clauses : 239
% 0.45/0.55 % ...of the previous two non-redundant : 191
% 0.45/0.55 % ...aggressively subsumed : 0
% 0.45/0.55 % Contextual simplify-reflections : 4
% 0.45/0.55 % Paramodulations : 223
% 0.45/0.55 % Factorizations : 0
% 0.45/0.55 % NegExts : 0
% 0.45/0.55 % Equation resolutions : 15
% 0.45/0.55 % Disequality decompositions : 0
% 0.45/0.55 % Total rewrite steps : 161
% 0.45/0.55 % ...of those cached : 129
% 0.45/0.55 % Propositional unsat checks : 0
% 0.45/0.55 % Propositional check models : 0
% 0.45/0.55 % Propositional check unsatisfiable : 0
% 0.45/0.55 % Propositional clauses : 0
% 0.45/0.55 % Propositional clauses after purity: 0
% 0.45/0.55 % Propositional unsat core size : 0
% 0.45/0.55 % Propositional preprocessing time : 0.000
% 0.45/0.55 % Propositional encoding time : 0.000
% 0.45/0.55 % Propositional solver time : 0.000
% 0.45/0.55 % Success case prop preproc time : 0.000
% 0.45/0.55 % Success case prop encoding time : 0.000
% 0.45/0.55 % Success case prop solver time : 0.000
% 0.45/0.55 % Current number of processed clauses : 176
% 0.45/0.55 % Positive orientable unit clauses : 54
% 0.45/0.55 % Positive unorientable unit clauses: 0
% 0.45/0.55 % Negative unit clauses : 17
% 0.45/0.55 % Non-unit-clauses : 105
% 0.45/0.55 % Current number of unprocessed clauses: 4764
% 0.45/0.55 % ...number of literals in the above : 55756
% 0.45/0.55 % Current number of archived formulas : 0
% 0.45/0.55 % Current number of archived clauses : 7
% 0.45/0.55 % Clause-clause subsumption calls (NU) : 1922
% 0.45/0.55 % Rec. Clause-clause subsumption calls : 1468
% 0.45/0.55 % Non-unit clause-clause subsumptions : 18
% 0.45/0.55 % Unit Clause-clause subsumption calls : 386
% 0.45/0.55 % Rewrite failures with RHS unbound : 0
% 0.45/0.55 % BW rewrite match attempts : 3
% 0.45/0.55 % BW rewrite match successes : 3
% 0.45/0.55 % Condensation attempts : 0
% 0.45/0.55 % Condensation successes : 0
% 0.45/0.55 % Termbank termtop insertions : 379472
% 0.45/0.55 % Search garbage collected termcells : 30668
% 0.45/0.55
% 0.45/0.55 % -------------------------------------------------
% 0.45/0.55 % User time : 0.183 s
% 0.45/0.55 % System time : 0.020 s
% 0.45/0.55 % Total time : 0.203 s
% 0.45/0.55 % Maximum resident set size: 15824 pages
% 0.45/0.55
% 0.45/0.55 % -------------------------------------------------
% 0.45/0.55 % User time : 0.186 s
% 0.45/0.55 % System time : 0.023 s
% 0.45/0.55 % Total time : 0.209 s
% 0.45/0.55 % Maximum resident set size: 4608 pages
% 0.45/0.55 % E exiting
%------------------------------------------------------------------------------