TSTP Solution File: SET553-6 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET553-6 : 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 02:58:40 EDT 2024
% Result : Unsatisfiable 0.50s 0.54s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 13 unt; 3 nHn; 10 RR)
% Number of literals : 31 ( 7 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(cantor_class,axiom,
intersection(domain_of(X1),diagonalise(compose(inverse(element_relation),X1))) = cantor(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cantor_class) ).
cnf(diagonalisation,axiom,
complement(domain_of(intersection(X1,identity_relation))) = diagonalise(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',diagonalisation) ).
cnf(inverse,axiom,
domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inverse) ).
cnf(prove_cantor_class_alternate_defn_1,negated_conjecture,
~ subclass(cantor(x),domain_of(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cantor_class_alternate_defn_1) ).
cnf(c_0_7,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection1]) ).
cnf(c_0_8,plain,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_9,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
c_0_7 ).
cnf(c_0_10,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_11,plain,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
c_0_8 ).
cnf(c_0_12,plain,
( member(not_subclass_element(intersection(X1,X2),X3),X1)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
intersection(domain_of(X1),diagonalise(compose(inverse(element_relation),X1))) = cantor(X1),
cantor_class ).
cnf(c_0_14,axiom,
complement(domain_of(intersection(X1,identity_relation))) = diagonalise(X1),
diagonalisation ).
cnf(c_0_15,axiom,
domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
inverse ).
cnf(c_0_16,negated_conjecture,
~ subclass(cantor(x),domain_of(x)),
inference(fof_simplification,[status(thm)],[prove_cantor_class_alternate_defn_1]) ).
cnf(c_0_17,plain,
subclass(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
intersection(domain_of(X1),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X1),identity_relation)))) = cantor(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
~ subclass(cantor(x),domain_of(x)),
c_0_16 ).
cnf(c_0_20,plain,
subclass(cantor(X1),domain_of(X1)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET553-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n025.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon May 20 11:37:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 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
% 0.50/0.54 # Version: 3.1.0
% 0.50/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.50/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.50/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.50/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.50/0.54 # Starting sh5l with 300s (1) cores
% 0.50/0.54 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 5217 completed with status 0
% 0.50/0.54 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.50/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.50/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.50/0.54 # No SInE strategy applied
% 0.50/0.54 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.50/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.50/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.50/0.54 # Starting new_bool_1 with 308s (1) cores
% 0.50/0.54 # Starting sh5l with 304s (1) cores
% 0.50/0.54 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.50/0.54 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 5225 completed with status 0
% 0.50/0.54 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.50/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.50/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.50/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.50/0.54 # No SInE strategy applied
% 0.50/0.54 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.50/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.50/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.50/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.50/0.54 # Preprocessing time : 0.003 s
% 0.50/0.54 # Presaturation interreduction done
% 0.50/0.54
% 0.50/0.54 # Proof found!
% 0.50/0.54 # SZS status Unsatisfiable
% 0.50/0.54 # SZS output start CNFRefutation
% See solution above
% 0.50/0.54 # Parsed axioms : 113
% 0.50/0.54 # Removed by relevancy pruning/SinE : 0
% 0.50/0.54 # Initial clauses : 113
% 0.50/0.54 # Removed in clause preprocessing : 17
% 0.50/0.54 # Initial clauses in saturation : 96
% 0.50/0.54 # Processed clauses : 364
% 0.50/0.54 # ...of these trivial : 0
% 0.50/0.54 # ...subsumed : 57
% 0.50/0.54 # ...remaining for further processing : 307
% 0.50/0.54 # Other redundant clauses eliminated : 4
% 0.50/0.54 # Clauses deleted for lack of memory : 0
% 0.50/0.54 # Backward-subsumed : 2
% 0.50/0.54 # Backward-rewritten : 20
% 0.50/0.54 # Generated clauses : 546
% 0.50/0.54 # ...of the previous two non-redundant : 505
% 0.50/0.54 # ...aggressively subsumed : 0
% 0.50/0.54 # Contextual simplify-reflections : 3
% 0.50/0.54 # Paramodulations : 542
% 0.50/0.54 # Factorizations : 0
% 0.50/0.54 # NegExts : 0
% 0.50/0.54 # Equation resolutions : 4
% 0.50/0.54 # Disequality decompositions : 0
% 0.50/0.54 # Total rewrite steps : 71
% 0.50/0.54 # ...of those cached : 47
% 0.50/0.54 # Propositional unsat checks : 0
% 0.50/0.54 # Propositional check models : 0
% 0.50/0.54 # Propositional check unsatisfiable : 0
% 0.50/0.54 # Propositional clauses : 0
% 0.50/0.54 # Propositional clauses after purity: 0
% 0.50/0.54 # Propositional unsat core size : 0
% 0.50/0.54 # Propositional preprocessing time : 0.000
% 0.50/0.54 # Propositional encoding time : 0.000
% 0.50/0.54 # Propositional solver time : 0.000
% 0.50/0.54 # Success case prop preproc time : 0.000
% 0.50/0.54 # Success case prop encoding time : 0.000
% 0.50/0.54 # Success case prop solver time : 0.000
% 0.50/0.54 # Current number of processed clauses : 186
% 0.50/0.54 # Positive orientable unit clauses : 29
% 0.50/0.54 # Positive unorientable unit clauses: 1
% 0.50/0.54 # Negative unit clauses : 0
% 0.50/0.54 # Non-unit-clauses : 156
% 0.50/0.54 # Current number of unprocessed clauses: 315
% 0.50/0.54 # ...number of literals in the above : 931
% 0.50/0.54 # Current number of archived formulas : 0
% 0.50/0.54 # Current number of archived clauses : 134
% 0.50/0.54 # Clause-clause subsumption calls (NU) : 5975
% 0.50/0.54 # Rec. Clause-clause subsumption calls : 3341
% 0.50/0.54 # Non-unit clause-clause subsumptions : 62
% 0.50/0.54 # Unit Clause-clause subsumption calls : 73
% 0.50/0.54 # Rewrite failures with RHS unbound : 0
% 0.50/0.54 # BW rewrite match attempts : 11
% 0.50/0.54 # BW rewrite match successes : 5
% 0.50/0.54 # Condensation attempts : 0
% 0.50/0.54 # Condensation successes : 0
% 0.50/0.54 # Termbank termtop insertions : 21495
% 0.50/0.54 # Search garbage collected termcells : 185
% 0.50/0.54
% 0.50/0.54 # -------------------------------------------------
% 0.50/0.54 # User time : 0.035 s
% 0.50/0.54 # System time : 0.006 s
% 0.50/0.54 # Total time : 0.041 s
% 0.50/0.54 # Maximum resident set size: 1992 pages
% 0.50/0.54
% 0.50/0.54 # -------------------------------------------------
% 0.50/0.54 # User time : 0.171 s
% 0.50/0.54 # System time : 0.021 s
% 0.50/0.54 # Total time : 0.192 s
% 0.50/0.54 # Maximum resident set size: 1796 pages
% 0.50/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------