%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET252-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:13:59 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 12 unt; 3 nHn; 11 RR)
% Number of literals : 30 ( 5 equ; 10 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(prove_restriction_property3_1,negated_conjecture,
~ subclass(restrict(x,y,z),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_property3_1) ).
cnf(restriction2,axiom,
intersection(cross_product(X1,X2),X3) = restrict(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction2) ).
cnf(restriction1,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
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,negated_conjecture,
~ subclass(restrict(x,y,z),x),
inference(fof_simplification,[status(thm)],[prove_restriction_property3_1]) ).
cnf(c_0_11,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
c_0_7 ).
cnf(c_0_12,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_13,axiom,
intersection(cross_product(X1,X2),X3) = restrict(X3,X1,X2),
restriction2 ).
cnf(c_0_14,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
restriction1 ).
cnf(c_0_15,negated_conjecture,
~ subclass(restrict(x,y,z),x),
c_0_10 ).
cnf(c_0_16,plain,
subclass(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
intersection(cross_product(X1,X2),X3) = intersection(X3,cross_product(X1,X2)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
~ subclass(intersection(x,cross_product(y,z)),x),
inference(rw,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_19,plain,
subclass(intersection(X1,cross_product(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET252-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 04:58:13 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.18/0.47 % Version: 3.5.1
% 0.18/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 % Starting sh5l with 300s (1) cores
% 0.18/0.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1481578 completed with status 0
% 0.18/0.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.47 % No SInE strategy applied
% 0.18/0.47 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.18/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.47 % Starting new_bool_3 with 311s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 308s (1) cores
% 0.18/0.47 % Starting sh5l with 304s (1) cores
% 0.18/0.47 % SubtermCWHack with pid 1481585 completed with status 0
% 0.18/0.47 % Result found by SubtermCWHack
% 0.18/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/0.47 % No SInE strategy applied
% 0.18/0.47 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.18/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.18/0.47 % Preprocessing time : 0.003 s
% 0.18/0.47
% 0.18/0.47 % Proof found!
% 0.18/0.47 % SZS status Unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47 % Parsed axioms : 113
% 0.18/0.47 % Removed by relevancy pruning/SinE : 0
% 0.18/0.47 % Initial clauses : 113
% 0.18/0.47 % Removed in clause preprocessing : 17
% 0.18/0.47 % Initial clauses in saturation : 96
% 0.18/0.47 % Processed clauses : 194
% 0.18/0.47 % ...of these trivial : 1
% 0.18/0.47 % ...subsumed : 47
% 0.18/0.47 % ...remaining for further processing : 146
% 0.18/0.47 % Other redundant clauses eliminated : 2
% 0.18/0.47 % Clauses deleted for lack of memory : 0
% 0.18/0.47 % Backward-subsumed : 1
% 0.18/0.47 % Backward-rewritten : 5
% 0.18/0.47 % Generated clauses : 364
% 0.18/0.47 % ...of the previous two non-redundant : 309
% 0.18/0.47 % ...aggressively subsumed : 0
% 0.18/0.47 % Contextual simplify-reflections : 1
% 0.18/0.47 % Paramodulations : 362
% 0.18/0.47 % Factorizations : 0
% 0.18/0.47 % NegExts : 0
% 0.18/0.47 % Equation resolutions : 2
% 0.18/0.47 % Disequality decompositions : 0
% 0.18/0.47 % Total rewrite steps : 51
% 0.18/0.47 % ...of those cached : 25
% 0.18/0.47 % Propositional unsat checks : 0
% 0.18/0.47 % Propositional check models : 0
% 0.18/0.47 % Propositional check unsatisfiable : 0
% 0.18/0.47 % Propositional clauses : 0
% 0.18/0.47 % Propositional clauses after purity: 0
% 0.18/0.47 % Propositional unsat core size : 0
% 0.18/0.47 % Propositional preprocessing time : 0.000
% 0.18/0.47 % Propositional encoding time : 0.000
% 0.18/0.47 % Propositional solver time : 0.000
% 0.18/0.47 % Success case prop preproc time : 0.000
% 0.18/0.47 % Success case prop encoding time : 0.000
% 0.18/0.47 % Success case prop solver time : 0.000
% 0.18/0.47 % Current number of processed clauses : 138
% 0.18/0.47 % Positive orientable unit clauses : 31
% 0.18/0.47 % Positive unorientable unit clauses: 1
% 0.18/0.47 % Negative unit clauses : 1
% 0.18/0.47 % Non-unit-clauses : 105
% 0.18/0.47 % Current number of unprocessed clauses: 209
% 0.18/0.47 % ...number of literals in the above : 524
% 0.18/0.47 % Current number of archived formulas : 0
% 0.18/0.47 % Current number of archived clauses : 23
% 0.18/0.47 % Clause-clause subsumption calls (NU) : 1399
% 0.18/0.47 % Rec. Clause-clause subsumption calls : 926
% 0.18/0.47 % Non-unit clause-clause subsumptions : 39
% 0.18/0.47 % Unit Clause-clause subsumption calls : 75
% 0.18/0.47 % Rewrite failures with RHS unbound : 0
% 0.18/0.47 % BW rewrite match attempts : 13
% 0.18/0.47 % BW rewrite match successes : 6
% 0.18/0.47 % Condensation attempts : 0
% 0.18/0.47 % Condensation successes : 0
% 0.18/0.47 % Termbank termtop insertions : 9561
% 0.18/0.47 % Search garbage collected termcells : 185
% 0.18/0.47
% 0.18/0.47 % -------------------------------------------------
% 0.18/0.47 % User time : 0.015 s
% 0.18/0.47 % System time : 0.006 s
% 0.18/0.47 % Total time : 0.021 s
% 0.18/0.47 % Maximum resident set size: 4000 pages
% 0.18/0.47
% 0.18/0.47 % -------------------------------------------------
% 0.18/0.47 % User time : 0.052 s
% 0.18/0.47 % System time : 0.022 s
% 0.18/0.47 % Total time : 0.074 s
% 0.18/0.47 % Maximum resident set size: 4608 pages
% 0.18/0.47 % E exiting
%------------------------------------------------------------------------------