%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM617+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 01:55:43 PM UTC 2026
% Result : Theorem 1.30s 0.90s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 27 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 23 ( 9 ~; 2 |; 11 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__5348,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(m__5106,hypothesis,
( aSubsetOf0(xQ,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(c_0_3,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_simplification,[status(thm)],[m__5348]) ).
fof(c_0_5,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_6,hypothesis,
! [X88] :
( aSubsetOf0(xQ,szNzAzT0)
& ( aElementOf0(X88,szNzAzT0)
| ~ aElementOf0(X88,xQ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5106])])])]) ).
fof(c_0_7,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
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 : NUM617+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:47:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 1.30/0.89 % Version: 3.5.1
% 1.30/0.89 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.30/0.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.30/0.89 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.30/0.89 % Starting new_bool_3 with 300s (1) cores
% 1.30/0.89 % Starting new_bool_1 with 300s (1) cores
% 1.30/0.89 % Starting sh5l with 300s (1) cores
% 1.30/0.89 % new_bool_1 with pid 1202400 completed with status 0
% 1.30/0.89 % Result found by new_bool_1
% 1.30/0.89 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.30/0.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.30/0.89 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.30/0.89 % Starting new_bool_3 with 300s (1) cores
% 1.30/0.89 % Starting new_bool_1 with 300s (1) cores
% 1.30/0.89 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.30/0.89 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.30/0.89 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.30/0.89 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.30/0.89 % Starting SubtermCWHack with 28s (1) cores
% 1.30/0.89 % SubtermCWHack with pid 1202427 completed with status 0
% 1.30/0.90 % Result found by SubtermCWHack
% 1.30/0.90 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.30/0.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.30/0.90 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.30/0.90 % Starting new_bool_3 with 300s (1) cores
% 1.30/0.90 % Starting new_bool_1 with 300s (1) cores
% 1.30/0.90 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.30/0.90 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.30/0.90 % Search class: FGHSF-SMLM32-MFFFFFNN
% 1.30/0.90 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.30/0.90 % Starting SubtermCWHack with 28s (1) cores
% 1.30/0.90 % Preprocessing time : 0.160 s
% 1.30/0.90
% 1.30/0.90 % Proof found!
% 1.30/0.90 % SZS status Theorem
% 1.30/0.90 % SZS output start CNFRefutation
% See solution above
% 1.30/0.90 % Parsed axioms : 114
% 1.30/0.90 % Removed by relevancy pruning/SinE : 9
% 1.30/0.90 % Initial clauses : 4895
% 1.30/0.90 % Removed in clause preprocessing : 7
% 1.30/0.90 % Initial clauses in saturation : 4888
% 1.30/0.90 % Processed clauses : 92
% 1.30/0.90 % ...of these trivial : 6
% 1.30/0.90 % ...subsumed : 1
% 1.30/0.90 % ...remaining for further processing : 85
% 1.30/0.90 % Other redundant clauses eliminated : 3
% 1.30/0.90 % Clauses deleted for lack of memory : 0
% 1.30/0.90 % Backward-subsumed : 0
% 1.30/0.90 % Backward-rewritten : 1
% 1.30/0.90 % Generated clauses : 18
% 1.30/0.90 % ...of the previous two non-redundant : 12
% 1.30/0.90 % ...aggressively subsumed : 0
% 1.30/0.90 % Contextual simplify-reflections : 0
% 1.30/0.90 % Paramodulations : 15
% 1.30/0.90 % Factorizations : 0
% 1.30/0.90 % NegExts : 0
% 1.30/0.90 % Equation resolutions : 3
% 1.30/0.90 % Disequality decompositions : 0
% 1.30/0.90 % Total rewrite steps : 26
% 1.30/0.90 % ...of those cached : 10
% 1.30/0.90 % Propositional unsat checks : 0
% 1.30/0.90 % Propositional check models : 0
% 1.30/0.90 % Propositional check unsatisfiable : 0
% 1.30/0.90 % Propositional clauses : 0
% 1.30/0.90 % Propositional clauses after purity: 0
% 1.30/0.90 % Propositional unsat core size : 0
% 1.30/0.90 % Propositional preprocessing time : 0.000
% 1.30/0.90 % Propositional encoding time : 0.000
% 1.30/0.90 % Propositional solver time : 0.000
% 1.30/0.90 % Success case prop preproc time : 0.000
% 1.30/0.90 % Success case prop encoding time : 0.000
% 1.30/0.90 % Success case prop solver time : 0.000
% 1.30/0.90 % Current number of processed clauses : 81
% 1.30/0.90 % Positive orientable unit clauses : 59
% 1.30/0.90 % Positive unorientable unit clauses: 0
% 1.30/0.90 % Negative unit clauses : 7
% 1.30/0.90 % Non-unit-clauses : 15
% 1.30/0.90 % Current number of unprocessed clauses: 4807
% 1.30/0.90 % ...number of literals in the above : 55819
% 1.30/0.90 % Current number of archived formulas : 0
% 1.30/0.90 % Current number of archived clauses : 1
% 1.30/0.90 % Clause-clause subsumption calls (NU) : 22
% 1.30/0.90 % Rec. Clause-clause subsumption calls : 22
% 1.30/0.90 % Non-unit clause-clause subsumptions : 0
% 1.30/0.90 % Unit Clause-clause subsumption calls : 48
% 1.30/0.90 % Rewrite failures with RHS unbound : 0
% 1.30/0.90 % BW rewrite match attempts : 1
% 1.30/0.90 % BW rewrite match successes : 1
% 1.30/0.90 % Condensation attempts : 0
% 1.30/0.90 % Condensation successes : 0
% 1.30/0.90 % Termbank termtop insertions : 381251
% 1.30/0.90 % Search garbage collected termcells : 31517
% 1.30/0.90
% 1.30/0.90 % -------------------------------------------------
% 1.30/0.90 % User time : 0.412 s
% 1.30/0.90 % System time : 0.044 s
% 1.30/0.90 % Total time : 0.456 s
% 1.30/0.90 % Maximum resident set size: 16112 pages
% 1.30/0.90
% 1.30/0.90 % -------------------------------------------------
% 1.30/0.90 % User time : 0.418 s
% 1.30/0.90 % System time : 0.052 s
% 1.30/0.90 % Total time : 0.470 s
% 1.30/0.90 % Maximum resident set size: 4864 pages
% 1.30/0.90 % E exiting
%------------------------------------------------------------------------------