%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET185-6 : 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 : 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 02:16:48 PM UTC 2026
% Result : Unsatisfiable 2.87s 0.84s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 55 ( 18 unt; 10 nHn; 37 RR)
% Number of literals : 105 ( 12 equ; 47 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 91 ( 7 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(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(not_subclass_members1,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(complement1,axiom,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(prove_subclass_property3_1,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property3_1) ).
cnf(intersection3,axiom,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(intersection2,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X2,X1)
| ~ subclass(X1,X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(prove_subclass_property3_2,negated_conjecture,
union(x,y) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property3_2) ).
cnf(union,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
file('/export/starexec/sandbox/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(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_12 ).
cnf(c_0_14,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_15,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_16,plain,
( ~ member(X1,universal_class)
| member(X1,X2)
| member(X1,complement(X2)) ),
inference(fof_simplification,[status(thm)],[complement2]) ).
cnf(c_0_17,plain,
( ~ member(X1,X2)
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),X1) ),
not_subclass_members1 ).
cnf(c_0_19,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
inference(fof_simplification,[status(thm)],[complement1]) ).
cnf(c_0_20,negated_conjecture,
subclass(x,y),
prove_subclass_property3_1 ).
cnf(c_0_21,plain,
( ~ member(not_subclass_element(X1,X2),X2)
| subclass(X1,X2) ),
c_0_15 ).
cnf(c_0_22,plain,
( ~ member(X1,universal_class)
| member(X1,X2)
| member(X1,complement(X2)) ),
c_0_16 ).
cnf(c_0_23,plain,
( subclass(X1,X2)
| member(not_subclass_element(X1,X2),universal_class) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection3]) ).
cnf(c_0_25,plain,
( ~ member(X1,X2)
| ~ member(X1,complement(X2)) ),
c_0_19 ).
cnf(c_0_26,negated_conjecture,
( ~ member(X1,x)
| member(X1,y) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_27,plain,
( subclass(X1,complement(X2))
| member(not_subclass_element(X1,complement(X2)),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
c_0_24 ).
cnf(c_0_29,plain,
( ~ member(not_subclass_element(complement(X1),X2),X1)
| subclass(complement(X1),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]) ).
cnf(c_0_30,negated_conjecture,
( subclass(X1,complement(x))
| member(not_subclass_element(X1,complement(x)),y) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ member(not_subclass_element(X1,intersection(X2,X3)),X2)
| ~ member(not_subclass_element(X1,intersection(X2,X3)),X3)
| subclass(X1,intersection(X2,X3)) ),
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
subclass(complement(y),complement(x)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_34,plain,
( ~ member(not_subclass_element(X1,intersection(X2,X1)),X2)
| subclass(X1,intersection(X2,X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_18]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(X1,complement(y))
| member(X1,complement(x)) ),
inference(spm,[status(thm)],[c_0_13,c_0_32]) ).
cnf(c_0_36,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X3) ),
c_0_33 ).
cnf(c_0_37,plain,
( ~ subclass(X2,X1)
| ~ subclass(X1,X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[subclass_implies_equal]) ).
cnf(c_0_38,plain,
( ~ member(not_subclass_element(X1,complement(complement(X2))),X2)
| subclass(X1,complement(complement(X2))) ),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_39,negated_conjecture,
union(x,y) != y,
inference(fof_simplification,[status(thm)],[prove_subclass_property3_2]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(not_subclass_element(X1,intersection(complement(x),X1)),complement(y))
| subclass(X1,intersection(complement(x),X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( subclass(intersection(X1,X2),X3)
| member(not_subclass_element(intersection(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_18]) ).
cnf(c_0_42,plain,
( ~ subclass(X2,X1)
| ~ subclass(X1,X2)
| X1 = X2 ),
c_0_37 ).
cnf(c_0_43,plain,
subclass(X1,complement(complement(X1))),
inference(spm,[status(thm)],[c_0_38,c_0_18]) ).
cnf(c_0_44,plain,
( subclass(complement(complement(X1)),X2)
| member(not_subclass_element(complement(complement(X1)),X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_22]),c_0_23]) ).
cnf(c_0_45,negated_conjecture,
union(x,y) != y,
c_0_39 ).
cnf(c_0_46,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
union ).
cnf(c_0_47,negated_conjecture,
subclass(complement(y),intersection(complement(x),complement(y))),
inference(spm,[status(thm)],[c_0_40,c_0_18]) ).
cnf(c_0_48,plain,
subclass(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_21,c_0_41]) ).
cnf(c_0_49,plain,
( ~ subclass(complement(complement(X1)),X1)
| complement(complement(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
subclass(complement(complement(X1)),X1),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
complement(intersection(complement(x),complement(y))) != y,
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
intersection(complement(x),complement(y)) = complement(y),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_47]),c_0_48])]) ).
cnf(c_0_53,plain,
complement(complement(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET185-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:59:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 2.87/0.84 % Version: 3.5.1
% 2.87/0.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.87/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.87/0.84 % Starting new_bool_3 with 300s (1) cores
% 2.87/0.84 % Starting new_bool_1 with 300s (1) cores
% 2.87/0.84 % Starting sh5l with 300s (1) cores
% 2.87/0.84 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2053215 completed with status 0
% 2.87/0.84 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.87/0.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.87/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.87/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.87/0.84 % No SInE strategy applied
% 2.87/0.84 % Search class: FGHSM-FFLM31-DFFFFFNN
% 2.87/0.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.87/0.84 % Starting SubtermCWHack with 136s (1) cores
% 2.87/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.87/0.84 % Starting new_bool_3 with 311s (1) cores
% 2.87/0.84 % Starting new_bool_1 with 308s (1) cores
% 2.87/0.84 % Starting sh5l with 304s (1) cores
% 2.87/0.84 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2053223 completed with status 0
% 2.87/0.84 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.87/0.84 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.87/0.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.87/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.87/0.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.87/0.84 % No SInE strategy applied
% 2.87/0.84 % Search class: FGHSM-FFLM31-DFFFFFNN
% 2.87/0.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.87/0.84 % Starting SubtermCWHack with 136s (1) cores
% 2.87/0.84 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.87/0.84 % Preprocessing time : 0.003 s
% 2.87/0.84 % Presaturation interreduction done
% 2.87/0.84
% 2.87/0.84 % Proof found!
% 2.87/0.84 % SZS status Unsatisfiable
% 2.87/0.84 % SZS output start CNFRefutation
% See solution above
% 2.87/0.84 % Parsed axioms : 114
% 2.87/0.84 % Removed by relevancy pruning/SinE : 0
% 2.87/0.84 % Initial clauses : 114
% 2.87/0.84 % Removed in clause preprocessing : 17
% 2.87/0.84 % Initial clauses in saturation : 97
% 2.87/0.84 % Processed clauses : 2303
% 2.87/0.84 % ...of these trivial : 25
% 2.87/0.84 % ...subsumed : 1286
% 2.87/0.84 % ...remaining for further processing : 992
% 2.87/0.84 % Other redundant clauses eliminated : 10
% 2.87/0.84 % Clauses deleted for lack of memory : 0
% 2.87/0.84 % Backward-subsumed : 29
% 2.87/0.84 % Backward-rewritten : 250
% 2.87/0.84 % Generated clauses : 6359
% 2.87/0.84 % ...of the previous two non-redundant : 5795
% 2.87/0.84 % ...aggressively subsumed : 0
% 2.87/0.84 % Contextual simplify-reflections : 20
% 2.87/0.84 % Paramodulations : 6343
% 2.87/0.84 % Factorizations : 6
% 2.87/0.84 % NegExts : 0
% 2.87/0.84 % Equation resolutions : 10
% 2.87/0.84 % Disequality decompositions : 0
% 2.87/0.84 % Total rewrite steps : 2125
% 2.87/0.84 % ...of those cached : 1850
% 2.87/0.84 % Propositional unsat checks : 0
% 2.87/0.84 % Propositional check models : 0
% 2.87/0.84 % Propositional check unsatisfiable : 0
% 2.87/0.84 % Propositional clauses : 0
% 2.87/0.84 % Propositional clauses after purity: 0
% 2.87/0.84 % Propositional unsat core size : 0
% 2.87/0.84 % Propositional preprocessing time : 0.000
% 2.87/0.84 % Propositional encoding time : 0.000
% 2.87/0.84 % Propositional solver time : 0.000
% 2.87/0.84 % Success case prop preproc time : 0.000
% 2.87/0.84 % Success case prop encoding time : 0.000
% 2.87/0.84 % Success case prop solver time : 0.000
% 2.87/0.84 % Current number of processed clauses : 613
% 2.87/0.84 % Positive orientable unit clauses : 89
% 2.87/0.84 % Positive unorientable unit clauses: 1
% 2.87/0.84 % Negative unit clauses : 4
% 2.87/0.84 % Non-unit-clauses : 519
% 2.87/0.84 % Current number of unprocessed clauses: 3382
% 2.87/0.84 % ...number of literals in the above : 11085
% 2.87/0.84 % Current number of archived formulas : 0
% 2.87/0.84 % Current number of archived clauses : 392
% 2.87/0.84 % Clause-clause subsumption calls (NU) : 87676
% 2.87/0.84 % Rec. Clause-clause subsumption calls : 54036
% 2.87/0.84 % Non-unit clause-clause subsumptions : 1155
% 2.87/0.84 % Unit Clause-clause subsumption calls : 5259
% 2.87/0.84 % Rewrite failures with RHS unbound : 0
% 2.87/0.84 % BW rewrite match attempts : 259
% 2.87/0.84 % BW rewrite match successes : 60
% 2.87/0.84 % Condensation attempts : 0
% 2.87/0.84 % Condensation successes : 0
% 2.87/0.84 % Termbank termtop insertions : 291287
% 2.87/0.84 % Search garbage collected termcells : 185
% 2.87/0.84
% 2.87/0.84 % -------------------------------------------------
% 2.87/0.84 % User time : 0.379 s
% 2.87/0.84 % System time : 0.017 s
% 2.87/0.84 % Total time : 0.396 s
% 2.87/0.84 % Maximum resident set size: 3744 pages
% 2.87/0.84
% 2.87/0.84 % -------------------------------------------------
% 2.87/0.84 % User time : 1.799 s
% 2.87/0.84 % System time : 0.094 s
% 2.87/0.84 % Total time : 1.893 s
% 2.87/0.84 % Maximum resident set size: 4608 pages
% 2.87/0.84 % E exiting
%------------------------------------------------------------------------------