TSTP Solution File: SET168-6 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET168-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:57:54 EDT 2024
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 12 unt; 3 nHn; 20 RR)
% Number of literals : 48 ( 2 equ; 26 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; 4 con; 0-2 aty)
% Number of variables : 38 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_members_of_union3_2,negated_conjecture,
~ member(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union3_2) ).
cnf(union,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(complement2,axiom,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(complement1,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,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(prove_members_of_union3_1,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union3_1) ).
cnf(c_0_8,negated_conjecture,
~ member(x,union(y,z)),
inference(fof_simplification,[status(thm)],[prove_members_of_union3_2]) ).
cnf(c_0_9,negated_conjecture,
~ member(x,union(y,z)),
c_0_8 ).
cnf(c_0_10,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
union ).
cnf(c_0_11,plain,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
inference(fof_simplification,[status(thm)],[complement2]) ).
cnf(c_0_12,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_13,negated_conjecture,
~ member(x,complement(intersection(complement(y),complement(z)))),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
c_0_11 ).
cnf(c_0_15,plain,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_16,plain,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
inference(fof_simplification,[status(thm)],[complement1]) ).
cnf(c_0_17,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
( member(x,intersection(complement(y),complement(z)))
| ~ member(x,universal_class) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
c_0_15 ).
cnf(c_0_20,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_21,plain,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
( member(x,complement(z))
| ~ member(x,universal_class) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
member(x,z),
prove_members_of_union3_1 ).
cnf(c_0_24,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
~ member(x,universal_class),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET168-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 11:18:23 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 # Version: 3.1.0
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44 # Starting sh5l with 300s (1) cores
% 0.16/0.44 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4072 completed with status 0
% 0.16/0.44 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.44 # Starting new_bool_1 with 308s (1) cores
% 0.16/0.44 # Starting sh5l with 304s (1) cores
% 0.16/0.44 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.44 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4080 completed with status 0
% 0.16/0.44 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.44 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.44 # No SInE strategy applied
% 0.16/0.44 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.16/0.44 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.16/0.44 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.44 # Preprocessing time : 0.002 s
% 0.16/0.44 # Presaturation interreduction done
% 0.16/0.44
% 0.16/0.44 # Proof found!
% 0.16/0.44 # SZS status Unsatisfiable
% 0.16/0.44 # SZS output start CNFRefutation
% See solution above
% 0.16/0.44 # Parsed axioms : 114
% 0.16/0.44 # Removed by relevancy pruning/SinE : 0
% 0.16/0.44 # Initial clauses : 114
% 0.16/0.44 # Removed in clause preprocessing : 17
% 0.16/0.44 # Initial clauses in saturation : 97
% 0.16/0.44 # Processed clauses : 147
% 0.16/0.44 # ...of these trivial : 0
% 0.16/0.44 # ...subsumed : 1
% 0.16/0.44 # ...remaining for further processing : 146
% 0.16/0.44 # Other redundant clauses eliminated : 4
% 0.16/0.44 # Clauses deleted for lack of memory : 0
% 0.16/0.44 # Backward-subsumed : 4
% 0.16/0.44 # Backward-rewritten : 0
% 0.16/0.44 # Generated clauses : 43
% 0.16/0.44 # ...of the previous two non-redundant : 34
% 0.16/0.44 # ...aggressively subsumed : 0
% 0.16/0.44 # Contextual simplify-reflections : 0
% 0.16/0.44 # Paramodulations : 39
% 0.16/0.44 # Factorizations : 0
% 0.16/0.44 # NegExts : 0
% 0.16/0.44 # Equation resolutions : 4
% 0.16/0.44 # Disequality decompositions : 0
% 0.16/0.44 # Total rewrite steps : 2
% 0.16/0.44 # ...of those cached : 0
% 0.16/0.44 # Propositional unsat checks : 0
% 0.16/0.44 # Propositional check models : 0
% 0.16/0.44 # Propositional check unsatisfiable : 0
% 0.16/0.44 # Propositional clauses : 0
% 0.16/0.44 # Propositional clauses after purity: 0
% 0.16/0.44 # Propositional unsat core size : 0
% 0.16/0.44 # Propositional preprocessing time : 0.000
% 0.16/0.44 # Propositional encoding time : 0.000
% 0.16/0.44 # Propositional solver time : 0.000
% 0.16/0.44 # Success case prop preproc time : 0.000
% 0.16/0.44 # Success case prop encoding time : 0.000
% 0.16/0.44 # Success case prop solver time : 0.000
% 0.16/0.44 # Current number of processed clauses : 42
% 0.16/0.44 # Positive orientable unit clauses : 11
% 0.16/0.44 # Positive unorientable unit clauses: 0
% 0.16/0.44 # Negative unit clauses : 2
% 0.16/0.44 # Non-unit-clauses : 29
% 0.16/0.44 # Current number of unprocessed clauses: 80
% 0.16/0.44 # ...number of literals in the above : 179
% 0.16/0.44 # Current number of archived formulas : 0
% 0.16/0.44 # Current number of archived clauses : 117
% 0.16/0.44 # Clause-clause subsumption calls (NU) : 1363
% 0.16/0.44 # Rec. Clause-clause subsumption calls : 656
% 0.16/0.44 # Non-unit clause-clause subsumptions : 1
% 0.16/0.44 # Unit Clause-clause subsumption calls : 11
% 0.16/0.44 # Rewrite failures with RHS unbound : 0
% 0.16/0.44 # BW rewrite match attempts : 3
% 0.16/0.44 # BW rewrite match successes : 1
% 0.16/0.44 # Condensation attempts : 0
% 0.16/0.44 # Condensation successes : 0
% 0.16/0.44 # Termbank termtop insertions : 7700
% 0.16/0.44 # Search garbage collected termcells : 185
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.014 s
% 0.16/0.44 # System time : 0.002 s
% 0.16/0.44 # Total time : 0.016 s
% 0.16/0.44 # Maximum resident set size: 2020 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.059 s
% 0.16/0.44 # System time : 0.011 s
% 0.16/0.44 # Total time : 0.071 s
% 0.16/0.44 # Maximum resident set size: 1804 pages
% 0.16/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------