%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET154-6 : 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 : n006.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 02:13:45 PM UTC 2026
% Result : Unsatisfiable 0.16s 10.63s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 48 ( 14 unt; 12 nHn; 30 RR)
% Number of literals : 91 ( 20 equ; 39 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 11 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(intersection1,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
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(complement2,axiom,
( ~ member(X1,universal_class)
| member(X1,X2)
| member(X1,complement(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
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(intersection2,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X2,X1)
| ~ subclass(X1,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(prove_union_with_complement_1,negated_conjecture,
union(complement(x),x) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_with_complement_1) ).
cnf(union,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_0_12,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_13,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
inference(fof_simplification,[status(thm)],[complement1]) ).
cnf(c_0_14,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_12 ).
cnf(c_0_15,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_16,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
c_0_13 ).
cnf(c_0_17,axiom,
( member(regular(X1),X1)
| X1 = null_class ),
regularity1 ).
cnf(c_0_18,plain,
( ~ member(X1,X2)
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(fof_simplification,[status(thm)],[intersection1]) ).
cnf(c_0_20,plain,
( ~ member(regular(complement(X1)),X1)
| complement(X1) = null_class ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( member(regular(X1),universal_class)
| X1 = null_class ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_23,plain,
( ~ member(X1,universal_class)
| member(X1,X2)
| member(X1,complement(X2)) ),
inference(fof_simplification,[status(thm)],[complement2]) ).
cnf(c_0_24,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
not_subclass_members1 ).
cnf(c_0_25,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
c_0_19 ).
cnf(c_0_26,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_27,plain,
( ~ subclass(X2,X1)
| ~ subclass(X1,X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[subclass_implies_equal]) ).
cnf(c_0_28,plain,
complement(universal_class) = null_class,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
c_0_22 ).
cnf(c_0_30,plain,
( ~ member(X1,universal_class)
| member(X1,X2)
| member(X1,complement(X2)) ),
c_0_23 ).
cnf(c_0_31,plain,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),universal_class) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
union(complement(x),x) != universal_class,
inference(fof_simplification,[status(thm)],[prove_union_with_complement_1]) ).
cnf(c_0_33,plain,
( member(regular(intersection(X1,X2)),X1)
| intersection(X1,X2) = null_class ),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_34,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
c_0_26 ).
cnf(c_0_35,plain,
( ~ subclass(X2,X1)
| ~ subclass(X1,X2)
| X1 = X2 ),
c_0_27 ).
cnf(c_0_36,plain,
~ member(X1,null_class),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_28]),c_0_18]) ).
cnf(c_0_37,plain,
( subclass(X1,complement(X2))
| member(not_subclass_element(X1,complement(X2)),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
union(complement(x),x) != universal_class,
c_0_32 ).
cnf(c_0_39,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
union ).
cnf(c_0_40,plain,
( ~ member(regular(intersection(complement(X1),X2)),X1)
| intersection(complement(X1),X2) = null_class ),
inference(spm,[status(thm)],[c_0_16,c_0_33]) ).
cnf(c_0_41,plain,
( member(regular(intersection(X1,X2)),X2)
| intersection(X1,X2) = null_class ),
inference(spm,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_42,plain,
( ~ subclass(universal_class,X1)
| universal_class = X1 ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
cnf(c_0_43,plain,
subclass(X1,complement(null_class)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
complement(intersection(complement(complement(x)),complement(x))) != universal_class,
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
intersection(complement(X1),X1) = null_class,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
complement(null_class) = universal_class,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET154-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.40 % Computer : n006.cluster.edu
% 0.13/10.40 % Model : x86_64 x86_64
% 0.13/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.40 % Memory : 8046.5625MB
% 0.13/10.40 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.13/10.40 % DateTime : Mon Sep 21 04:56:52 UTC 2026
% 0.13/10.40 % CPUTime :
% 0.13/10.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.45 Running first-order theorem proving
% 0.13/10.45 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
% 0.16/10.63 % Version: 3.5.1
% 0.16/10.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/10.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/10.63 % Starting new_bool_3 with 300s (1) cores
% 0.16/10.63 % Starting new_bool_1 with 300s (1) cores
% 0.16/10.63 % Starting sh5l with 300s (1) cores
% 0.16/10.63 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2048347 completed with status 0
% 0.16/10.63 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/10.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/10.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/10.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/10.63 % No SInE strategy applied
% 0.16/10.63 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.16/10.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/10.63 % Starting SubtermCWHack with 136s (1) cores
% 0.16/10.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/10.63 % Starting new_bool_3 with 311s (1) cores
% 0.16/10.63 % Starting new_bool_1 with 308s (1) cores
% 0.16/10.63 % Starting sh5l with 304s (1) cores
% 0.16/10.63 % SubtermCWHack with pid 2048353 completed with status 0
% 0.16/10.63 % Result found by SubtermCWHack
% 0.16/10.63 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/10.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/10.63 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/10.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/10.63 % No SInE strategy applied
% 0.16/10.63 % Search class: FGHSM-FFLM31-DFFFFFNN
% 0.16/10.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/10.63 % Starting SubtermCWHack with 136s (1) cores
% 0.16/10.63 % Preprocessing time : 0.003 s
% 0.16/10.63
% 0.16/10.63 % Proof found!
% 0.16/10.63 % SZS status Unsatisfiable
% 0.16/10.63 % SZS output start CNFRefutation
% See solution above
% 0.16/10.64 % Parsed axioms : 113
% 0.16/10.64 % Removed by relevancy pruning/SinE : 0
% 0.16/10.64 % Initial clauses : 113
% 0.16/10.64 % Removed in clause preprocessing : 17
% 0.16/10.64 % Initial clauses in saturation : 96
% 0.16/10.64 % Processed clauses : 1489
% 0.16/10.64 % ...of these trivial : 9
% 0.16/10.64 % ...subsumed : 852
% 0.16/10.64 % ...remaining for further processing : 628
% 0.16/10.64 % Other redundant clauses eliminated : 10
% 0.16/10.64 % Clauses deleted for lack of memory : 0
% 0.16/10.64 % Backward-subsumed : 11
% 0.16/10.64 % Backward-rewritten : 16
% 0.16/10.64 % Generated clauses : 6048
% 0.16/10.64 % ...of the previous two non-redundant : 4853
% 0.16/10.64 % ...aggressively subsumed : 0
% 0.16/10.64 % Contextual simplify-reflections : 8
% 0.16/10.64 % Paramodulations : 6032
% 0.16/10.64 % Factorizations : 6
% 0.16/10.64 % NegExts : 0
% 0.16/10.64 % Equation resolutions : 10
% 0.16/10.64 % Disequality decompositions : 0
% 0.16/10.64 % Total rewrite steps : 1942
% 0.16/10.64 % ...of those cached : 1748
% 0.16/10.64 % Propositional unsat checks : 0
% 0.16/10.64 % Propositional check models : 0
% 0.16/10.64 % Propositional check unsatisfiable : 0
% 0.16/10.64 % Propositional clauses : 0
% 0.16/10.64 % Propositional clauses after purity: 0
% 0.16/10.64 % Propositional unsat core size : 0
% 0.16/10.64 % Propositional preprocessing time : 0.000
% 0.16/10.64 % Propositional encoding time : 0.000
% 0.16/10.64 % Propositional solver time : 0.000
% 0.16/10.64 % Success case prop preproc time : 0.000
% 0.16/10.64 % Success case prop encoding time : 0.000
% 0.16/10.64 % Success case prop solver time : 0.000
% 0.16/10.64 % Current number of processed clauses : 597
% 0.16/10.64 % Positive orientable unit clauses : 101
% 0.16/10.64 % Positive unorientable unit clauses: 1
% 0.16/10.64 % Negative unit clauses : 7
% 0.16/10.64 % Non-unit-clauses : 488
% 0.16/10.64 % Current number of unprocessed clauses: 3445
% 0.16/10.64 % ...number of literals in the above : 9999
% 0.16/10.64 % Current number of archived formulas : 0
% 0.16/10.64 % Current number of archived clauses : 44
% 0.16/10.64 % Clause-clause subsumption calls (NU) : 21394
% 0.16/10.64 % Rec. Clause-clause subsumption calls : 13931
% 0.16/10.64 % Non-unit clause-clause subsumptions : 587
% 0.16/10.64 % Unit Clause-clause subsumption calls : 2068
% 0.16/10.64 % Rewrite failures with RHS unbound : 0
% 0.16/10.64 % BW rewrite match attempts : 62
% 0.16/10.64 % BW rewrite match successes : 17
% 0.16/10.64 % Condensation attempts : 0
% 0.16/10.64 % Condensation successes : 0
% 0.16/10.64 % Termbank termtop insertions : 136715
% 0.16/10.64 % Search garbage collected termcells : 185
% 0.16/10.64
% 0.16/10.64 % -------------------------------------------------
% 0.16/10.64 % User time : 0.137 s
% 0.16/10.64 % System time : 0.011 s
% 0.16/10.64 % Total time : 0.148 s
% 0.16/10.64 % Maximum resident set size: 3736 pages
% 0.16/10.64
% 0.16/10.64 % -------------------------------------------------
% 0.16/10.64 % User time : 0.628 s
% 0.16/10.64 % System time : 0.051 s
% 0.16/10.64 % Total time : 0.680 s
% 0.16/10.64 % Maximum resident set size: 4864 pages
% 0.16/10.64 % E exiting
%------------------------------------------------------------------------------