%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET386-6 : 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 02:14:09 PM UTC 2026
% Result : Unsatisfiable 0.34s 0.72s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 10 unt; 3 nHn; 13 RR)
% Number of literals : 28 ( 5 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 30 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(not_subclass_members1,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(prove_relation_property4_1,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_1) ).
cnf(restriction1,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_relation_property4_2,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_2) ).
cnf(c_0_6,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_7,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_8,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
c_0_6 ).
cnf(c_0_9,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
not_subclass_members1 ).
cnf(c_0_10,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
c_0_7 ).
cnf(c_0_11,plain,
( subclass(intersection(X1,X2),X3)
| member(not_subclass_element(intersection(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
prove_relation_property4_1 ).
cnf(c_0_13,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
restriction1 ).
cnf(c_0_14,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
inference(fof_simplification,[status(thm)],[prove_relation_property4_2]) ).
cnf(c_0_15,plain,
subclass(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
intersection(x,cross_product(universal_class,universal_class)) = x,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET386-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 % Computer : n017.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Mon Sep 21 05:08:57 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.58 Running first-order theorem proving
% 0.28/0.58 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
% 0.34/0.72 % Version: 3.5.1
% 0.34/0.72 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.72 % Starting new_bool_3 with 300s (1) cores
% 0.34/0.72 % Starting new_bool_1 with 300s (1) cores
% 0.34/0.72 % Starting sh5l with 300s (1) cores
% 0.34/0.72 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1495332 completed with status 0
% 0.34/0.72 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.34/0.72 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.34/0.72 % No SInE strategy applied
% 0.34/0.72 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.34/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.34/0.72 % Starting SubtermCWHack with 136s (1) cores
% 0.34/0.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.34/0.72 % Starting new_bool_3 with 311s (1) cores
% 0.34/0.72 % Starting new_bool_1 with 308s (1) cores
% 0.34/0.72 % Starting sh5l with 304s (1) cores
% 0.34/0.72 % SubtermCWHack with pid 1495339 completed with status 0
% 0.34/0.72 % Result found by SubtermCWHack
% 0.34/0.72 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.34/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.72 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.34/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.34/0.72 % No SInE strategy applied
% 0.34/0.72 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.34/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.34/0.72 % Starting SubtermCWHack with 136s (1) cores
% 0.34/0.72 % Preprocessing time : 0.005 s
% 0.34/0.72
% 0.34/0.72 % Proof found!
% 0.34/0.72 % SZS status Unsatisfiable
% 0.34/0.72 % SZS output start CNFRefutation
% See solution above
% 0.34/0.72 % Parsed axioms : 114
% 0.34/0.72 % Removed by relevancy pruning/SinE : 0
% 0.34/0.72 % Initial clauses : 114
% 0.34/0.72 % Removed in clause preprocessing : 17
% 0.34/0.72 % Initial clauses in saturation : 97
% 0.34/0.72 % Processed clauses : 199
% 0.34/0.72 % ...of these trivial : 1
% 0.34/0.72 % ...subsumed : 50
% 0.34/0.72 % ...remaining for further processing : 148
% 0.34/0.72 % Other redundant clauses eliminated : 2
% 0.34/0.72 % Clauses deleted for lack of memory : 0
% 0.34/0.72 % Backward-subsumed : 1
% 0.34/0.72 % Backward-rewritten : 4
% 0.34/0.72 % Generated clauses : 369
% 0.34/0.72 % ...of the previous two non-redundant : 318
% 0.34/0.72 % ...aggressively subsumed : 0
% 0.34/0.72 % Contextual simplify-reflections : 1
% 0.34/0.72 % Paramodulations : 367
% 0.34/0.72 % Factorizations : 0
% 0.34/0.72 % NegExts : 0
% 0.34/0.72 % Equation resolutions : 2
% 0.34/0.72 % Disequality decompositions : 0
% 0.34/0.72 % Total rewrite steps : 43
% 0.34/0.72 % ...of those cached : 22
% 0.34/0.72 % Propositional unsat checks : 0
% 0.34/0.72 % Propositional check models : 0
% 0.34/0.72 % Propositional check unsatisfiable : 0
% 0.34/0.72 % Propositional clauses : 0
% 0.34/0.72 % Propositional clauses after purity: 0
% 0.34/0.72 % Propositional unsat core size : 0
% 0.34/0.72 % Propositional preprocessing time : 0.000
% 0.34/0.72 % Propositional encoding time : 0.000
% 0.34/0.72 % Propositional solver time : 0.000
% 0.34/0.72 % Success case prop preproc time : 0.000
% 0.34/0.72 % Success case prop encoding time : 0.000
% 0.34/0.72 % Success case prop solver time : 0.000
% 0.34/0.72 % Current number of processed clauses : 141
% 0.34/0.72 % Positive orientable unit clauses : 30
% 0.34/0.72 % Positive unorientable unit clauses: 1
% 0.34/0.72 % Negative unit clauses : 3
% 0.34/0.72 % Non-unit-clauses : 107
% 0.34/0.72 % Current number of unprocessed clauses: 212
% 0.34/0.72 % ...number of literals in the above : 532
% 0.34/0.72 % Current number of archived formulas : 0
% 0.34/0.72 % Current number of archived clauses : 22
% 0.34/0.72 % Clause-clause subsumption calls (NU) : 1477
% 0.34/0.72 % Rec. Clause-clause subsumption calls : 981
% 0.34/0.72 % Non-unit clause-clause subsumptions : 42
% 0.34/0.72 % Unit Clause-clause subsumption calls : 77
% 0.34/0.72 % Rewrite failures with RHS unbound : 0
% 0.34/0.72 % BW rewrite match attempts : 10
% 0.34/0.72 % BW rewrite match successes : 5
% 0.34/0.72 % Condensation attempts : 0
% 0.34/0.72 % Condensation successes : 0
% 0.34/0.72 % Termbank termtop insertions : 9645
% 0.34/0.72 % Search garbage collected termcells : 185
% 0.34/0.72
% 0.34/0.72 % -------------------------------------------------
% 0.34/0.72 % User time : 0.025 s
% 0.34/0.72 % System time : 0.015 s
% 0.34/0.72 % Total time : 0.040 s
% 0.34/0.72 % Maximum resident set size: 3992 pages
% 0.34/0.72
% 0.34/0.72 % -------------------------------------------------
% 0.34/0.72 % User time : 0.093 s
% 0.34/0.72 % System time : 0.041 s
% 0.34/0.72 % Total time : 0.134 s
% 0.34/0.72 % Maximum resident set size: 4864 pages
% 0.34/0.72 % E exiting
%------------------------------------------------------------------------------