%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET203-6 : 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 : 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 02:13:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.60s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 32 ( 0 equ; 16 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 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_to_X_product_property1_3,negated_conjecture,
~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_3) ).
cnf(cartesian_product3,axiom,
( ~ member(X3,X4)
| ~ member(X1,X2)
| member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(prove_corollary_to_X_product_property1_2,negated_conjecture,
member(v,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_2) ).
cnf(prove_corollary_to_X_product_property1_1,negated_conjecture,
member(u,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_X_product_property1_1) ).
cnf(c_0_6,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_7,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_6 ).
cnf(c_0_8,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_9,negated_conjecture,
~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
inference(fof_simplification,[status(thm)],[prove_corollary_to_X_product_property1_3]) ).
cnf(c_0_10,plain,
( ~ member(X3,X4)
| ~ member(X1,X2)
| member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
inference(fof_simplification,[status(thm)],[cartesian_product3]) ).
cnf(c_0_11,plain,
( ~ member(X1,X2)
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
member(v,y),
prove_corollary_to_X_product_property1_2 ).
cnf(c_0_13,negated_conjecture,
member(u,x),
prove_corollary_to_X_product_property1_1 ).
cnf(c_0_14,negated_conjecture,
~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
c_0_9 ).
cnf(c_0_15,plain,
( ~ member(X3,X4)
| ~ member(X1,X2)
| member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
c_0_10 ).
cnf(c_0_16,negated_conjecture,
member(v,universal_class),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
member(u,universal_class),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET203-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.52 % Computer : n026.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Mon Sep 21 05:03:24 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.57 Running first-order theorem proving
% 0.13/0.57 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
% 0.13/0.60 % Version: 3.5.1
% 0.13/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.60 % Starting sh5l with 300s (1) cores
% 0.13/0.60 % new_bool_1 with pid 1427244 completed with status 0
% 0.13/0.60 % Result found by new_bool_1
% 0.13/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.60 % Search class: FHUSF-FFSF22-SFFFFFNN
% 0.13/0.60 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.13/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.60 % SubtermCWHack with pid 1427246 completed with status 0
% 0.13/0.60 % Result found by SubtermCWHack
% 0.13/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.60 % Search class: FHUSF-FFSF22-SFFFFFNN
% 0.13/0.60 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.13/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.60 % Preprocessing time : 0.002 s
% 0.13/0.60
% 0.13/0.60 % Proof found!
% 0.13/0.60 % SZS status Unsatisfiable
% 0.13/0.60 % SZS output start CNFRefutation
% See solution above
% 0.13/0.60 % Parsed axioms : 115
% 0.13/0.60 % Removed by relevancy pruning/SinE : 104
% 0.13/0.60 % Initial clauses : 11
% 0.13/0.60 % Removed in clause preprocessing : 0
% 0.13/0.60 % Initial clauses in saturation : 11
% 0.13/0.60 % Processed clauses : 15
% 0.13/0.60 % ...of these trivial : 0
% 0.13/0.60 % ...subsumed : 0
% 0.13/0.60 % ...remaining for further processing : 14
% 0.13/0.60 % Other redundant clauses eliminated : 2
% 0.13/0.60 % Clauses deleted for lack of memory : 0
% 0.13/0.60 % Backward-subsumed : 0
% 0.13/0.60 % Backward-rewritten : 0
% 0.13/0.60 % Generated clauses : 11
% 0.13/0.60 % ...of the previous two non-redundant : 7
% 0.13/0.60 % ...aggressively subsumed : 0
% 0.13/0.60 % Contextual simplify-reflections : 0
% 0.13/0.60 % Paramodulations : 9
% 0.13/0.60 % Factorizations : 0
% 0.13/0.60 % NegExts : 0
% 0.13/0.60 % Equation resolutions : 2
% 0.13/0.60 % Disequality decompositions : 0
% 0.13/0.60 % Total rewrite steps : 5
% 0.13/0.60 % ...of those cached : 2
% 0.13/0.60 % Propositional unsat checks : 0
% 0.13/0.60 % Propositional check models : 0
% 0.13/0.60 % Propositional check unsatisfiable : 0
% 0.13/0.60 % Propositional clauses : 0
% 0.13/0.60 % Propositional clauses after purity: 0
% 0.13/0.60 % Propositional unsat core size : 0
% 0.13/0.60 % Propositional preprocessing time : 0.000
% 0.13/0.60 % Propositional encoding time : 0.000
% 0.13/0.60 % Propositional solver time : 0.000
% 0.13/0.60 % Success case prop preproc time : 0.000
% 0.13/0.60 % Success case prop encoding time : 0.000
% 0.13/0.60 % Success case prop solver time : 0.000
% 0.13/0.60 % Current number of processed clauses : 12
% 0.13/0.60 % Positive orientable unit clauses : 6
% 0.13/0.60 % Positive unorientable unit clauses: 0
% 0.13/0.60 % Negative unit clauses : 1
% 0.13/0.60 % Non-unit-clauses : 5
% 0.13/0.60 % Current number of unprocessed clauses: 3
% 0.13/0.60 % ...number of literals in the above : 7
% 0.13/0.60 % Current number of archived formulas : 0
% 0.13/0.60 % Current number of archived clauses : 0
% 0.13/0.60 % Clause-clause subsumption calls (NU) : 0
% 0.13/0.60 % Rec. Clause-clause subsumption calls : 0
% 0.13/0.60 % Non-unit clause-clause subsumptions : 0
% 0.13/0.60 % Unit Clause-clause subsumption calls : 0
% 0.13/0.60 % Rewrite failures with RHS unbound : 0
% 0.13/0.60 % BW rewrite match attempts : 1
% 0.13/0.60 % BW rewrite match successes : 0
% 0.13/0.60 % Condensation attempts : 0
% 0.13/0.60 % Condensation successes : 0
% 0.13/0.60 % Termbank termtop insertions : 1204
% 0.13/0.60 % Search garbage collected termcells : 500
% 0.13/0.60
% 0.13/0.60 % -------------------------------------------------
% 0.13/0.60 % User time : 0.004 s
% 0.13/0.60 % System time : 0.001 s
% 0.13/0.60 % Total time : 0.005 s
% 0.13/0.60 % Maximum resident set size: 3744 pages
% 0.13/0.60
% 0.13/0.60 % -------------------------------------------------
% 0.13/0.60 % User time : 0.008 s
% 0.13/0.60 % System time : 0.005 s
% 0.13/0.60 % Total time : 0.013 s
% 0.13/0.60 % Maximum resident set size: 4608 pages
% 0.13/0.60 % E exiting
%------------------------------------------------------------------------------