%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET118-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:13:39 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.54s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 19 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(prove_corollary_2_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_ordered_pairs_are_sets_2) ).
cnf(prove_corollary_2_to_ordered_pairs_are_sets_1,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_ordered_pairs_are_sets_1) ).
cnf(c_0_4,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_5,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_4 ).
cnf(c_0_6,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_7,negated_conjecture,
~ member(x,universal_class),
inference(fof_simplification,[status(thm)],[prove_corollary_2_to_ordered_pairs_are_sets_2]) ).
cnf(c_0_8,plain,
( ~ member(X1,X2)
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
prove_corollary_2_to_ordered_pairs_are_sets_1 ).
cnf(c_0_10,negated_conjecture,
~ member(x,universal_class),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET118-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:49:41 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.25/0.54 % Version: 3.5.1
% 0.25/0.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.54 % Starting sh5l with 300s (1) cores
% 0.25/0.54 % new_bool_3 with pid 1467263 completed with status 0
% 0.25/0.54 % Result found by new_bool_3
% 0.25/0.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.54 % Search class: FHUSF-FFSF22-SFFFFFNN
% 0.25/0.54 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.25/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.54 % SubtermCWHack with pid 1467267 completed with status 0
% 0.25/0.54 % Result found by SubtermCWHack
% 0.25/0.54 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.25/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.54 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.25/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.54 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.54 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.54 % Search class: FHUSF-FFSF22-SFFFFFNN
% 0.25/0.54 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.25/0.54 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.54 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.54 % Preprocessing time : 0.002 s
% 0.25/0.54
% 0.25/0.54 % Proof found!
% 0.25/0.54 % SZS status Unsatisfiable
% 0.25/0.54 % SZS output start CNFRefutation
% See solution above
% 0.25/0.54 % Parsed axioms : 93
% 0.25/0.54 % Removed by relevancy pruning/SinE : 83
% 0.25/0.54 % Initial clauses : 10
% 0.25/0.54 % Removed in clause preprocessing : 0
% 0.25/0.54 % Initial clauses in saturation : 10
% 0.25/0.54 % Processed clauses : 10
% 0.25/0.54 % ...of these trivial : 0
% 0.25/0.54 % ...subsumed : 0
% 0.25/0.54 % ...remaining for further processing : 10
% 0.25/0.54 % Other redundant clauses eliminated : 2
% 0.25/0.54 % Clauses deleted for lack of memory : 0
% 0.25/0.54 % Backward-subsumed : 0
% 0.25/0.54 % Backward-rewritten : 0
% 0.25/0.54 % Generated clauses : 6
% 0.25/0.54 % ...of the previous two non-redundant : 3
% 0.25/0.54 % ...aggressively subsumed : 0
% 0.25/0.54 % Contextual simplify-reflections : 0
% 0.25/0.54 % Paramodulations : 4
% 0.25/0.54 % Factorizations : 0
% 0.25/0.54 % NegExts : 0
% 0.25/0.54 % Equation resolutions : 2
% 0.25/0.54 % Disequality decompositions : 0
% 0.25/0.54 % Total rewrite steps : 1
% 0.25/0.54 % ...of those cached : 0
% 0.25/0.54 % Propositional unsat checks : 0
% 0.25/0.54 % Propositional check models : 0
% 0.25/0.54 % Propositional check unsatisfiable : 0
% 0.25/0.54 % Propositional clauses : 0
% 0.25/0.54 % Propositional clauses after purity: 0
% 0.25/0.54 % Propositional unsat core size : 0
% 0.25/0.54 % Propositional preprocessing time : 0.000
% 0.25/0.54 % Propositional encoding time : 0.000
% 0.25/0.54 % Propositional solver time : 0.000
% 0.25/0.54 % Success case prop preproc time : 0.000
% 0.25/0.54 % Success case prop encoding time : 0.000
% 0.25/0.54 % Success case prop solver time : 0.000
% 0.25/0.54 % Current number of processed clauses : 8
% 0.25/0.54 % Positive orientable unit clauses : 3
% 0.25/0.54 % Positive unorientable unit clauses: 0
% 0.25/0.54 % Negative unit clauses : 1
% 0.25/0.54 % Non-unit-clauses : 4
% 0.25/0.54 % Current number of unprocessed clauses: 3
% 0.25/0.54 % ...number of literals in the above : 7
% 0.25/0.54 % Current number of archived formulas : 0
% 0.25/0.54 % Current number of archived clauses : 0
% 0.25/0.54 % Clause-clause subsumption calls (NU) : 0
% 0.25/0.54 % Rec. Clause-clause subsumption calls : 0
% 0.25/0.54 % Non-unit clause-clause subsumptions : 0
% 0.25/0.54 % Unit Clause-clause subsumption calls : 0
% 0.25/0.54 % Rewrite failures with RHS unbound : 0
% 0.25/0.54 % BW rewrite match attempts : 1
% 0.25/0.54 % BW rewrite match successes : 0
% 0.25/0.54 % Condensation attempts : 0
% 0.25/0.54 % Condensation successes : 0
% 0.25/0.54 % Termbank termtop insertions : 968
% 0.25/0.54 % Search garbage collected termcells : 414
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.002 s
% 0.25/0.54 % System time : 0.005 s
% 0.25/0.54 % Total time : 0.008 s
% 0.25/0.54 % Maximum resident set size: 3720 pages
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.007 s
% 0.25/0.54 % System time : 0.012 s
% 0.25/0.54 % Total time : 0.020 s
% 0.25/0.54 % Maximum resident set size: 4608 pages
% 0.25/0.54 % E exiting
%------------------------------------------------------------------------------