%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM607+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 : n026.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 01:49:45 PM UTC 2026
% Result : Theorem 2.86s 1.32s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 47 ( 2 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 45 ( 11 ~; 12 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( aElementOf0(xQ,szDzozmdt0(xc))
| aSubsetOf0(xQ,xS)
| ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xQ,xS)
| ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__5078,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(m__4998,hypothesis,
( aSubsetOf0(xO,xS)
& ! [X1] :
( aElementOf0(X1,xO)
=> aElementOf0(X1,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
fof(c_0_3,negated_conjecture,
~ ( aElementOf0(xQ,szDzozmdt0(xc))
| aSubsetOf0(xQ,xS)
| ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) )
| aSubsetOf0(xQ,xS)
| ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xS) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
! [X255] :
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ( aElementOf0(X255,xO)
| ~ aElementOf0(X255,xQ) )
& aSet0(xQ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])])]) ).
fof(c_0_5,negated_conjecture,
( ~ aElementOf0(xQ,szDzozmdt0(xc))
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(esk42_0,xS)
& aElementOf0(esk42_0,xQ)
& ~ aSubsetOf0(xQ,xS)
& ~ aElementOf0(esk41_0,xS)
& aElementOf0(esk41_0,xQ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,hypothesis,
! [X254] :
( aSubsetOf0(xO,xS)
& ( aElementOf0(X254,xS)
| ~ aElementOf0(X254,xO) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4998])])])]) ).
cnf(c_0_7,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
aElementOf0(esk42_0,xQ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( ~ aElementOf0(X1,xO)
| aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
aElementOf0(esk42_0,xO),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ aElementOf0(esk42_0,xS),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM607+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.54 % Computer : n026.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 02:47:22 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.54 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.59 Running first-order theorem proving
% 0.15/0.59 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
% 2.86/1.32 % Version: 3.5.1
% 2.86/1.32 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.86/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/1.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.86/1.32 % Starting new_bool_3 with 300s (1) cores
% 2.86/1.32 % Starting new_bool_1 with 300s (1) cores
% 2.86/1.32 % Starting sh5l with 300s (1) cores
% 2.86/1.32 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1201589 completed with status 0
% 2.86/1.32 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.86/1.32 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.86/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/1.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.86/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.86/1.32 % No SInE strategy applied
% 2.86/1.32 % Search class: FGHSF-SMLM32-MFFFFFNN
% 2.86/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.86/1.32 % Starting SubtermCWHack with 136s (1) cores
% 2.86/1.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.86/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 2.86/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 2.86/1.32 % Starting new_bool_3 with 136s (1) cores
% 2.86/1.32 % SubtermCWHack with pid 1201628 completed with status 0
% 2.86/1.32 % Result found by SubtermCWHack
% 2.86/1.32 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.86/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/1.32 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.86/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.86/1.32 % No SInE strategy applied
% 2.86/1.32 % Search class: FGHSF-SMLM32-MFFFFFNN
% 2.86/1.32 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.86/1.32 % Starting SubtermCWHack with 136s (1) cores
% 2.86/1.32 % Preprocessing time : 0.172 s
% 2.86/1.32
% 2.86/1.32 % Proof found!
% 2.86/1.32 % SZS status Theorem
% 2.86/1.32 % SZS output start CNFRefutation
% See solution above
% 2.86/1.32 % Parsed axioms : 102
% 2.86/1.32 % Removed by relevancy pruning/SinE : 0
% 2.86/1.32 % Initial clauses : 4893
% 2.86/1.32 % Removed in clause preprocessing : 7
% 2.86/1.32 % Initial clauses in saturation : 4886
% 2.86/1.32 % Processed clauses : 83
% 2.86/1.32 % ...of these trivial : 2
% 2.86/1.32 % ...subsumed : 3
% 2.86/1.32 % ...remaining for further processing : 78
% 2.86/1.32 % Other redundant clauses eliminated : 3
% 2.86/1.32 % Clauses deleted for lack of memory : 0
% 2.86/1.32 % Backward-subsumed : 0
% 2.86/1.32 % Backward-rewritten : 0
% 2.86/1.32 % Generated clauses : 22
% 2.86/1.32 % ...of the previous two non-redundant : 16
% 2.86/1.32 % ...aggressively subsumed : 0
% 2.86/1.32 % Contextual simplify-reflections : 0
% 2.86/1.32 % Paramodulations : 19
% 2.86/1.32 % Factorizations : 0
% 2.86/1.32 % NegExts : 0
% 2.86/1.32 % Equation resolutions : 3
% 2.86/1.32 % Disequality decompositions : 0
% 2.86/1.32 % Total rewrite steps : 19
% 2.86/1.32 % ...of those cached : 7
% 2.86/1.32 % Propositional unsat checks : 0
% 2.86/1.32 % Propositional check models : 0
% 2.86/1.32 % Propositional check unsatisfiable : 0
% 2.86/1.32 % Propositional clauses : 0
% 2.86/1.32 % Propositional clauses after purity: 0
% 2.86/1.32 % Propositional unsat core size : 0
% 2.86/1.32 % Propositional preprocessing time : 0.000
% 2.86/1.32 % Propositional encoding time : 0.000
% 2.86/1.32 % Propositional solver time : 0.000
% 2.86/1.32 % Success case prop preproc time : 0.000
% 2.86/1.32 % Success case prop encoding time : 0.000
% 2.86/1.32 % Success case prop solver time : 0.000
% 2.86/1.32 % Current number of processed clauses : 75
% 2.86/1.32 % Positive orientable unit clauses : 48
% 2.86/1.32 % Positive unorientable unit clauses: 0
% 2.86/1.32 % Negative unit clauses : 9
% 2.86/1.32 % Non-unit-clauses : 18
% 2.86/1.32 % Current number of unprocessed clauses: 4819
% 2.86/1.32 % ...number of literals in the above : 55903
% 2.86/1.32 % Current number of archived formulas : 0
% 2.86/1.32 % Current number of archived clauses : 0
% 2.86/1.32 % Clause-clause subsumption calls (NU) : 26
% 2.86/1.32 % Rec. Clause-clause subsumption calls : 26
% 2.86/1.32 % Non-unit clause-clause subsumptions : 0
% 2.86/1.32 % Unit Clause-clause subsumption calls : 26
% 2.86/1.32 % Rewrite failures with RHS unbound : 0
% 2.86/1.32 % BW rewrite match attempts : 0
% 2.86/1.32 % BW rewrite match successes : 0
% 2.86/1.32 % Condensation attempts : 0
% 2.86/1.32 % Condensation successes : 0
% 2.86/1.32 % Termbank termtop insertions : 382286
% 2.86/1.32 % Search garbage collected termcells : 31904
% 2.86/1.32
% 2.86/1.32 % -------------------------------------------------
% 2.86/1.32 % User time : 0.599 s
% 2.86/1.32 % System time : 0.053 s
% 2.86/1.32 % Total time : 0.652 s
% 2.86/1.32 % Maximum resident set size: 16100 pages
% 2.86/1.32
% 2.86/1.32 % -------------------------------------------------
% 2.86/1.32 % User time : 1.218 s
% 2.86/1.32 % System time : 0.123 s
% 2.86/1.32 % Total time : 1.341 s
% 2.86/1.32 % Maximum resident set size: 5120 pages
% 2.86/1.32 % E exiting
%------------------------------------------------------------------------------