TSTP Solution File: SET454-6 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET454-6 : TPTP v8.1.2. 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:19:14 EDT 2023
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 11 unt; 2 nHn; 19 RR)
% Number of literals : 35 ( 8 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subset_relation,axiom,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',subset_relation) ).
cnf(inverse,axiom,
domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',inverse) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',intersection1) ).
cnf(identity_relation,axiom,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',identity_relation) ).
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',not_subclass_members2) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',intersection2) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',not_subclass_members1) ).
cnf(prove_identity_alternate_defn1_1,negated_conjecture,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.OHx0ldcglO/E---3.1_32696.p',prove_identity_alternate_defn1_1) ).
cnf(c_0_8,axiom,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
subset_relation ).
cnf(c_0_9,axiom,
domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
inverse ).
cnf(c_0_10,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
intersection1 ).
cnf(c_0_11,plain,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,universal_class))))))) = subset_relation,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
intersection(inverse(subset_relation),subset_relation) = identity_relation,
identity_relation ).
cnf(c_0_13,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
not_subclass_members2 ).
cnf(c_0_14,plain,
( member(X1,cross_product(universal_class,universal_class))
| ~ member(X1,subset_relation) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
intersection2 ).
cnf(c_0_16,plain,
intersection(domain_of(flip(cross_product(subset_relation,universal_class))),subset_relation) = identity_relation,
inference(rw,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_17,plain,
( subclass(X1,cross_product(universal_class,universal_class))
| ~ member(not_subclass_element(X1,cross_product(universal_class,universal_class)),subset_relation) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( member(X1,subset_relation)
| ~ member(X1,identity_relation) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( subclass(X1,cross_product(universal_class,universal_class))
| ~ member(not_subclass_element(X1,cross_product(universal_class,universal_class)),identity_relation) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_21,negated_conjecture,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
prove_identity_alternate_defn1_1 ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET454-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 2400
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Oct 2 17:30:51 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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/tmp/tmp.OHx0ldcglO/E---3.1_32696.p
% 0.18/0.48 # Version: 3.1pre001
% 0.18/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 # Starting sh5l with 300s (1) cores
% 0.18/0.48 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 310 completed with status 0
% 0.18/0.48 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.18/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.18/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.48 # Starting new_bool_1 with 308s (1) cores
% 0.18/0.48 # Starting sh5l with 304s (1) cores
% 0.18/0.48 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.18/0.48 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 317 completed with status 0
% 0.18/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.18/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.18/0.48 # Preprocessing time : 0.003 s
% 0.18/0.48 # Presaturation interreduction done
% 0.18/0.48
% 0.18/0.48 # Proof found!
% 0.18/0.48 # SZS status Unsatisfiable
% 0.18/0.48 # SZS output start CNFRefutation
% See solution above
% 0.18/0.48 # Parsed axioms : 113
% 0.18/0.48 # Removed by relevancy pruning/SinE : 0
% 0.18/0.48 # Initial clauses : 113
% 0.18/0.48 # Removed in clause preprocessing : 17
% 0.18/0.48 # Initial clauses in saturation : 96
% 0.18/0.48 # Processed clauses : 190
% 0.18/0.48 # ...of these trivial : 0
% 0.18/0.48 # ...subsumed : 4
% 0.18/0.48 # ...remaining for further processing : 186
% 0.18/0.48 # Other redundant clauses eliminated : 4
% 0.18/0.48 # Clauses deleted for lack of memory : 0
% 0.18/0.48 # Backward-subsumed : 0
% 0.18/0.48 # Backward-rewritten : 0
% 0.18/0.48 # Generated clauses : 101
% 0.18/0.48 # ...of the previous two non-redundant : 89
% 0.18/0.48 # ...aggressively subsumed : 0
% 0.18/0.48 # Contextual simplify-reflections : 0
% 0.18/0.48 # Paramodulations : 97
% 0.18/0.48 # Factorizations : 0
% 0.18/0.48 # NegExts : 0
% 0.18/0.48 # Equation resolutions : 4
% 0.18/0.48 # Total rewrite steps : 8
% 0.18/0.48 # Propositional unsat checks : 0
% 0.18/0.48 # Propositional check models : 0
% 0.18/0.48 # Propositional check unsatisfiable : 0
% 0.18/0.48 # Propositional clauses : 0
% 0.18/0.48 # Propositional clauses after purity: 0
% 0.18/0.48 # Propositional unsat core size : 0
% 0.18/0.48 # Propositional preprocessing time : 0.000
% 0.18/0.48 # Propositional encoding time : 0.000
% 0.18/0.48 # Propositional solver time : 0.000
% 0.18/0.48 # Success case prop preproc time : 0.000
% 0.18/0.48 # Success case prop encoding time : 0.000
% 0.18/0.48 # Success case prop solver time : 0.000
% 0.18/0.48 # Current number of processed clauses : 87
% 0.18/0.48 # Positive orientable unit clauses : 23
% 0.18/0.48 # Positive unorientable unit clauses: 1
% 0.18/0.48 # Negative unit clauses : 2
% 0.18/0.48 # Non-unit-clauses : 61
% 0.18/0.48 # Current number of unprocessed clauses: 90
% 0.18/0.48 # ...number of literals in the above : 230
% 0.18/0.48 # Current number of archived formulas : 0
% 0.18/0.48 # Current number of archived clauses : 112
% 0.18/0.48 # Clause-clause subsumption calls (NU) : 1775
% 0.18/0.48 # Rec. Clause-clause subsumption calls : 845
% 0.18/0.48 # Non-unit clause-clause subsumptions : 4
% 0.18/0.48 # Unit Clause-clause subsumption calls : 15
% 0.18/0.48 # Rewrite failures with RHS unbound : 0
% 0.18/0.48 # BW rewrite match attempts : 18
% 0.18/0.48 # BW rewrite match successes : 4
% 0.18/0.48 # Condensation attempts : 0
% 0.18/0.48 # Condensation successes : 0
% 0.18/0.48 # Termbank termtop insertions : 8246
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.016 s
% 0.18/0.48 # System time : 0.004 s
% 0.18/0.48 # Total time : 0.020 s
% 0.18/0.48 # Maximum resident set size: 2004 pages
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.073 s
% 0.18/0.48 # System time : 0.012 s
% 0.18/0.48 # Total time : 0.085 s
% 0.18/0.48 # Maximum resident set size: 1772 pages
% 0.18/0.48 % E---3.1 exiting
% 0.18/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------