%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET515-6 : 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 : n009.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 02:14:18 PM UTC 2026
% Result : Unsatisfiable 0.40s 0.49s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 36 ( 9 unt; 10 nHn; 24 RR)
% Number of literals : 75 ( 24 equ; 32 neg)
% Maximal clause size : 3 ( 2 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; 0-2 aty)
% Number of variables : 58 ( 7 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(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(regularity1,axiom,
( member(regular(X1),X1)
| X1 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(unordered_pair_member,axiom,
( ~ member(X1,unordered_pair(X2,X3))
| X1 = X3
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(intersection3,axiom,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(regularity2,axiom,
( intersection(X1,regular(X1)) = null_class
| X1 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(unordered_pair2,axiom,
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(prove_no_class_belongs_to_itself_1,negated_conjecture,
member(x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_no_class_belongs_to_itself_1) ).
cnf(c_0_9,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_10,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
inference(fof_simplification,[status(thm)],[complement1]) ).
cnf(c_0_11,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_9 ).
cnf(c_0_12,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_13,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
c_0_10 ).
cnf(c_0_14,axiom,
( member(regular(X1),X1)
| X1 = null_class ),
regularity1 ).
cnf(c_0_15,plain,
( ~ member(X1,X2)
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( ~ member(regular(complement(X1)),X1)
| complement(X1) = null_class ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( member(regular(X1),universal_class)
| X1 = null_class ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,plain,
( ~ member(X1,unordered_pair(X2,X3))
| X1 = X3
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[unordered_pair_member]) ).
cnf(c_0_19,plain,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection3]) ).
cnf(c_0_20,plain,
complement(universal_class) = null_class,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ member(X1,unordered_pair(X2,X3))
| X1 = X3
| X1 = X2 ),
c_0_18 ).
cnf(c_0_22,plain,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
c_0_19 ).
cnf(c_0_23,axiom,
( intersection(X1,regular(X1)) = null_class
| X1 = null_class ),
regularity2 ).
cnf(c_0_24,plain,
~ member(X1,null_class),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_20]),c_0_15]) ).
cnf(c_0_25,plain,
( unordered_pair(X1,X2) = null_class
| regular(unordered_pair(X1,X2)) = X2
| regular(unordered_pair(X1,X2)) = X1 ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_26,plain,
( ~ member(X2,X1)
| ~ member(X2,regular(X1))
| X1 = null_class ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( unordered_pair(X1,X1) = null_class
| regular(unordered_pair(X1,X1)) = X1 ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_25])]) ).
cnf(c_0_28,plain,
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X1,X2)) ),
inference(fof_simplification,[status(thm)],[unordered_pair2]) ).
cnf(c_0_29,plain,
( ~ member(X2,X1)
| ~ member(X2,unordered_pair(X1,X1))
| unordered_pair(X1,X1) = null_class ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X1,X2)) ),
c_0_28 ).
cnf(c_0_31,plain,
( ~ member(X1,X1)
| unordered_pair(X1,X1) = null_class ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_15]) ).
cnf(c_0_32,negated_conjecture,
member(x,x),
prove_no_class_belongs_to_itself_1 ).
cnf(c_0_33,negated_conjecture,
unordered_pair(x,x) = null_class,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
member(x,universal_class),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_33]),c_0_34])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET515-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:22:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.40/0.49 % Version: 3.5.1
% 0.40/0.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.40/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.40/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.40/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.49 % Starting sh5l with 300s (1) cores
% 0.40/0.49 % new_bool_1 with pid 926585 completed with status 9
% 0.40/0.49 % new_bool_3 with pid 926584 completed with status 9
% 0.40/0.49 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 926582 completed with status 0
% 0.40/0.49 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.40/0.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.40/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.40/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.40/0.49 % No SInE strategy applied
% 0.40/0.49 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.40/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.40/0.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.40/0.49 % Starting new_bool_3 with 311s (1) cores
% 0.40/0.49 % Starting new_bool_1 with 308s (1) cores
% 0.40/0.49 % Starting sh5l with 304s (1) cores
% 0.40/0.49 % sh5l with pid 926602 completed with status 0
% 0.40/0.49 % Result found by sh5l
% 0.40/0.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.40/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.40/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.40/0.49 % No SInE strategy applied
% 0.40/0.49 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.40/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.40/0.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.40/0.49 % Starting new_bool_3 with 311s (1) cores
% 0.40/0.49 % Starting new_bool_1 with 308s (1) cores
% 0.40/0.49 % Starting sh5l with 304s (1) cores
% 0.40/0.49 % Preprocessing time : 0.003 s
% 0.40/0.49 % Presaturation interreduction done
% 0.40/0.49
% 0.40/0.49 % Proof found!
% 0.40/0.49 % SZS status Unsatisfiable
% 0.40/0.49 % SZS output start CNFRefutation
% See solution above
% 0.40/0.49 % Parsed axioms : 113
% 0.40/0.49 % Removed by relevancy pruning/SinE : 0
% 0.40/0.49 % Initial clauses : 113
% 0.40/0.49 % Removed in clause preprocessing : 17
% 0.40/0.49 % Initial clauses in saturation : 96
% 0.40/0.49 % Processed clauses : 604
% 0.40/0.49 % ...of these trivial : 0
% 0.40/0.49 % ...subsumed : 227
% 0.40/0.49 % ...remaining for further processing : 377
% 0.40/0.49 % Other redundant clauses eliminated : 6
% 0.40/0.49 % Clauses deleted for lack of memory : 0
% 0.40/0.49 % Backward-subsumed : 3
% 0.40/0.49 % Backward-rewritten : 8
% 0.40/0.49 % Generated clauses : 1187
% 0.40/0.49 % ...of the previous two non-redundant : 1000
% 0.40/0.49 % ...aggressively subsumed : 0
% 0.40/0.49 % Contextual simplify-reflections : 3
% 0.40/0.49 % Paramodulations : 1179
% 0.40/0.49 % Factorizations : 2
% 0.40/0.49 % NegExts : 0
% 0.40/0.49 % Equation resolutions : 6
% 0.40/0.49 % Disequality decompositions : 0
% 0.40/0.49 % Total rewrite steps : 298
% 0.40/0.49 % ...of those cached : 252
% 0.40/0.49 % Propositional unsat checks : 0
% 0.40/0.49 % Propositional check models : 0
% 0.40/0.49 % Propositional check unsatisfiable : 0
% 0.40/0.49 % Propositional clauses : 0
% 0.40/0.49 % Propositional clauses after purity: 0
% 0.40/0.49 % Propositional unsat core size : 0
% 0.40/0.49 % Propositional preprocessing time : 0.000
% 0.40/0.49 % Propositional encoding time : 0.000
% 0.40/0.49 % Propositional solver time : 0.000
% 0.40/0.49 % Success case prop preproc time : 0.000
% 0.40/0.49 % Success case prop encoding time : 0.000
% 0.40/0.49 % Success case prop solver time : 0.000
% 0.40/0.49 % Current number of processed clauses : 267
% 0.40/0.49 % Positive orientable unit clauses : 42
% 0.40/0.49 % Positive unorientable unit clauses: 1
% 0.40/0.49 % Negative unit clauses : 2
% 0.40/0.49 % Non-unit-clauses : 222
% 0.40/0.49 % Current number of unprocessed clauses: 576
% 0.40/0.49 % ...number of literals in the above : 1872
% 0.40/0.49 % Current number of archived formulas : 0
% 0.40/0.49 % Current number of archived clauses : 123
% 0.40/0.49 % Clause-clause subsumption calls (NU) : 7146
% 0.40/0.49 % Rec. Clause-clause subsumption calls : 4789
% 0.40/0.49 % Non-unit clause-clause subsumptions : 181
% 0.40/0.49 % Unit Clause-clause subsumption calls : 112
% 0.40/0.49 % Rewrite failures with RHS unbound : 0
% 0.40/0.49 % BW rewrite match attempts : 17
% 0.40/0.49 % BW rewrite match successes : 9
% 0.40/0.49 % Condensation attempts : 604
% 0.40/0.49 % Condensation successes : 9
% 0.40/0.49 % Termbank termtop insertions : 47601
% 0.40/0.49 % Search garbage collected termcells : 183
% 0.40/0.49
% 0.40/0.49 % -------------------------------------------------
% 0.40/0.49 % User time : 0.059 s
% 0.40/0.49 % System time : 0.007 s
% 0.40/0.49 % Total time : 0.066 s
% 0.40/0.49 % Maximum resident set size: 3992 pages
% 0.40/0.49
% 0.40/0.49 % -------------------------------------------------
% 0.40/0.49 % User time : 0.314 s
% 0.40/0.49 % System time : 0.062 s
% 0.40/0.49 % Total time : 0.376 s
% 0.40/0.49 % Maximum resident set size: 4864 pages
% 0.40/0.49 % E exiting
%------------------------------------------------------------------------------