%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET064-6 : 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 : n003.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 02:13:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 13 unt; 5 nHn; 20 RR)
% Number of literals : 44 ( 8 equ; 22 neg)
% Maximal clause size : 3 ( 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; 3 con; 0-2 aty)
% Number of variables : 29 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(prove_null_class_is_unique_2,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
cnf(complement1,axiom,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
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(regularity1,axiom,
( member(regular(X1),X1)
| X1 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_null_class_is_unique_1,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
cnf(c_0_7,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_8,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
inference(fof_simplification,[status(thm)],[prove_null_class_is_unique_2]) ).
cnf(c_0_9,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
inference(fof_simplification,[status(thm)],[complement1]) ).
cnf(c_0_10,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_7 ).
cnf(c_0_11,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_12,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
c_0_8 ).
cnf(c_0_13,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
not_subclass_members1 ).
cnf(c_0_14,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
c_0_9 ).
cnf(c_0_15,axiom,
( member(regular(X1),X1)
| X1 = null_class ),
regularity1 ).
cnf(c_0_16,plain,
( ~ member(X1,X2)
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
subclass(z,null_class),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
z != null_class,
inference(fof_simplification,[status(thm)],[prove_null_class_is_unique_1]) ).
cnf(c_0_19,plain,
( ~ member(regular(complement(X1)),X1)
| complement(X1) = null_class ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( member(regular(X1),universal_class)
| X1 = null_class ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ member(X1,z)
| member(X1,null_class) ),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
z != null_class,
c_0_18 ).
cnf(c_0_23,plain,
complement(universal_class) = null_class,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
member(regular(z),null_class),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_15]),c_0_22]) ).
cnf(c_0_25,plain,
~ member(X1,null_class),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_16]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_24,c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n003.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 04:50:38 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.45 % Version: 3.5.1
% 0.14/5.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.45 % Starting sh5l with 300s (1) cores
% 0.14/5.45 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3443278 completed with status 0
% 0.14/5.45 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/5.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.45 % No SInE strategy applied
% 0.14/5.45 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.14/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/5.45 % Starting new_bool_3 with 311s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 308s (1) cores
% 0.14/5.45 % Starting sh5l with 304s (1) cores
% 0.14/5.45 % SubtermCWHack with pid 3443285 completed with status 0
% 0.14/5.45 % Result found by SubtermCWHack
% 0.14/5.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.45 % No SInE strategy applied
% 0.14/5.45 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.14/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.45 % Preprocessing time : 0.003 s
% 0.14/5.45
% 0.14/5.45 % Proof found!
% 0.14/5.45 % SZS status Unsatisfiable
% 0.14/5.45 % SZS output start CNFRefutation
% See solution above
% 0.14/5.45 % Parsed axioms : 93
% 0.14/5.45 % Removed by relevancy pruning/SinE : 0
% 0.14/5.45 % Initial clauses : 93
% 0.14/5.45 % Removed in clause preprocessing : 15
% 0.14/5.45 % Initial clauses in saturation : 78
% 0.14/5.45 % Processed clauses : 70
% 0.14/5.45 % ...of these trivial : 0
% 0.14/5.45 % ...subsumed : 7
% 0.14/5.45 % ...remaining for further processing : 63
% 0.14/5.45 % Other redundant clauses eliminated : 2
% 0.14/5.45 % Clauses deleted for lack of memory : 0
% 0.14/5.45 % Backward-subsumed : 0
% 0.14/5.45 % Backward-rewritten : 1
% 0.14/5.45 % Generated clauses : 75
% 0.14/5.45 % ...of the previous two non-redundant : 59
% 0.14/5.45 % ...aggressively subsumed : 0
% 0.14/5.45 % Contextual simplify-reflections : 1
% 0.14/5.45 % Paramodulations : 71
% 0.14/5.45 % Factorizations : 0
% 0.14/5.45 % NegExts : 0
% 0.14/5.45 % Equation resolutions : 2
% 0.14/5.45 % Disequality decompositions : 0
% 0.14/5.45 % Total rewrite steps : 9
% 0.14/5.45 % ...of those cached : 1
% 0.14/5.45 % Propositional unsat checks : 0
% 0.14/5.45 % Propositional check models : 0
% 0.14/5.45 % Propositional check unsatisfiable : 0
% 0.14/5.45 % Propositional clauses : 0
% 0.14/5.45 % Propositional clauses after purity: 0
% 0.14/5.45 % Propositional unsat core size : 0
% 0.14/5.45 % Propositional preprocessing time : 0.000
% 0.14/5.45 % Propositional encoding time : 0.000
% 0.14/5.45 % Propositional solver time : 0.000
% 0.14/5.45 % Success case prop preproc time : 0.000
% 0.14/5.45 % Success case prop encoding time : 0.000
% 0.14/5.45 % Success case prop solver time : 0.000
% 0.14/5.45 % Current number of processed clauses : 58
% 0.14/5.45 % Positive orientable unit clauses : 18
% 0.14/5.45 % Positive unorientable unit clauses: 0
% 0.14/5.45 % Negative unit clauses : 4
% 0.14/5.45 % Non-unit-clauses : 36
% 0.14/5.45 % Current number of unprocessed clauses: 66
% 0.14/5.45 % ...number of literals in the above : 161
% 0.14/5.45 % Current number of archived formulas : 0
% 0.14/5.45 % Current number of archived clauses : 18
% 0.14/5.45 % Clause-clause subsumption calls (NU) : 244
% 0.14/5.45 % Rec. Clause-clause subsumption calls : 158
% 0.14/5.45 % Non-unit clause-clause subsumptions : 8
% 0.14/5.45 % Unit Clause-clause subsumption calls : 90
% 0.14/5.45 % Rewrite failures with RHS unbound : 0
% 0.14/5.45 % BW rewrite match attempts : 3
% 0.14/5.45 % BW rewrite match successes : 1
% 0.14/5.45 % Condensation attempts : 0
% 0.14/5.45 % Condensation successes : 0
% 0.14/5.45 % Termbank termtop insertions : 4682
% 0.14/5.45 % Search garbage collected termcells : 158
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.011 s
% 0.14/5.45 % System time : 0.004 s
% 0.14/5.45 % Total time : 0.014 s
% 0.14/5.45 % Maximum resident set size: 3464 pages
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.038 s
% 0.14/5.45 % System time : 0.016 s
% 0.14/5.45 % Total time : 0.054 s
% 0.14/5.45 % Maximum resident set size: 4864 pages
% 0.14/5.45 % E exiting
%------------------------------------------------------------------------------