TSTP Solution File: SET125-6 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 19:22:14 EDT 2023
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 18 unt; 3 nHn; 16 RR)
% Number of literals : 42 ( 7 equ; 16 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 : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',subclass_members) ).
cnf(prove_set_builder_alternate_defn3_1,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',prove_set_builder_alternate_defn3_1) ).
cnf(definition_of_set_builder,axiom,
union(singleton(X1),X2) = set_builder(X1,X2),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',definition_of_set_builder) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',singleton_set) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',class_elements_are_sets) ).
cnf(prove_set_builder_alternate_defn3_2,negated_conjecture,
~ member(x,set_builder(y,z)),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',prove_set_builder_alternate_defn3_2) ).
cnf(union,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',union) ).
cnf(complement2,axiom,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',complement2) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',intersection2) ).
cnf(complement1,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.hjiTshRL5P/E---3.1_3788.p',complement1) ).
cnf(c_0_10,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_11,negated_conjecture,
member(x,z),
prove_set_builder_alternate_defn3_1 ).
cnf(c_0_12,axiom,
union(singleton(X1),X2) = set_builder(X1,X2),
definition_of_set_builder ).
cnf(c_0_13,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_14,negated_conjecture,
( member(x,X1)
| ~ subclass(z,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_16,negated_conjecture,
~ member(x,set_builder(y,z)),
prove_set_builder_alternate_defn3_2 ).
cnf(c_0_17,plain,
union(unordered_pair(X1,X1),X2) = set_builder(X1,X2),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
union ).
cnf(c_0_19,axiom,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
complement2 ).
cnf(c_0_20,negated_conjecture,
member(x,universal_class),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
~ member(x,complement(intersection(complement(unordered_pair(y,y)),complement(z)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( member(x,complement(X1))
| member(x,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
intersection2 ).
cnf(c_0_24,negated_conjecture,
member(x,intersection(complement(unordered_pair(y,y)),complement(z))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
complement1 ).
cnf(c_0_26,negated_conjecture,
member(x,complement(z)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n007.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 : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 17:20:54 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.43 Running first-order model finding
% 0.15/0.43 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/tmp/tmp.hjiTshRL5P/E---3.1_3788.p
% 0.15/0.45 # Version: 3.1pre001
% 0.15/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 # Starting sh5l with 300s (1) cores
% 0.15/0.45 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3865 completed with status 0
% 0.15/0.45 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.45 # No SInE strategy applied
% 0.15/0.45 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.15/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 308s (1) cores
% 0.15/0.45 # Starting sh5l with 304s (1) cores
% 0.15/0.45 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3872 completed with status 0
% 0.15/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.45 # No SInE strategy applied
% 0.15/0.45 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.15/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.15/0.45 # Preprocessing time : 0.003 s
% 0.15/0.45 # Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 # Proof found!
% 0.15/0.45 # SZS status Unsatisfiable
% 0.15/0.45 # SZS output start CNFRefutation
% See solution above
% 0.15/0.45 # Parsed axioms : 94
% 0.15/0.45 # Removed by relevancy pruning/SinE : 0
% 0.15/0.45 # Initial clauses : 94
% 0.15/0.45 # Removed in clause preprocessing : 16
% 0.15/0.45 # Initial clauses in saturation : 78
% 0.15/0.45 # Processed clauses : 128
% 0.15/0.45 # ...of these trivial : 0
% 0.15/0.45 # ...subsumed : 0
% 0.15/0.45 # ...remaining for further processing : 128
% 0.15/0.45 # Other redundant clauses eliminated : 3
% 0.15/0.45 # Clauses deleted for lack of memory : 0
% 0.15/0.45 # Backward-subsumed : 0
% 0.15/0.45 # Backward-rewritten : 0
% 0.15/0.45 # Generated clauses : 47
% 0.15/0.45 # ...of the previous two non-redundant : 41
% 0.15/0.45 # ...aggressively subsumed : 0
% 0.15/0.45 # Contextual simplify-reflections : 0
% 0.15/0.45 # Paramodulations : 44
% 0.15/0.45 # Factorizations : 0
% 0.15/0.45 # NegExts : 0
% 0.15/0.45 # Equation resolutions : 3
% 0.15/0.45 # Total rewrite steps : 4
% 0.15/0.45 # Propositional unsat checks : 0
% 0.15/0.45 # Propositional check models : 0
% 0.15/0.45 # Propositional check unsatisfiable : 0
% 0.15/0.45 # Propositional clauses : 0
% 0.15/0.45 # Propositional clauses after purity: 0
% 0.15/0.45 # Propositional unsat core size : 0
% 0.15/0.45 # Propositional preprocessing time : 0.000
% 0.15/0.45 # Propositional encoding time : 0.000
% 0.15/0.45 # Propositional solver time : 0.000
% 0.15/0.45 # Success case prop preproc time : 0.000
% 0.15/0.45 # Success case prop encoding time : 0.000
% 0.15/0.45 # Success case prop solver time : 0.000
% 0.15/0.45 # Current number of processed clauses : 48
% 0.15/0.45 # Positive orientable unit clauses : 15
% 0.15/0.45 # Positive unorientable unit clauses: 0
% 0.15/0.45 # Negative unit clauses : 1
% 0.15/0.45 # Non-unit-clauses : 32
% 0.15/0.45 # Current number of unprocessed clauses: 67
% 0.15/0.45 # ...number of literals in the above : 160
% 0.15/0.45 # Current number of archived formulas : 0
% 0.15/0.45 # Current number of archived clauses : 93
% 0.15/0.45 # Clause-clause subsumption calls (NU) : 1304
% 0.15/0.45 # Rec. Clause-clause subsumption calls : 593
% 0.15/0.45 # Non-unit clause-clause subsumptions : 0
% 0.15/0.45 # Unit Clause-clause subsumption calls : 41
% 0.15/0.45 # Rewrite failures with RHS unbound : 0
% 0.15/0.45 # BW rewrite match attempts : 3
% 0.15/0.45 # BW rewrite match successes : 1
% 0.15/0.45 # Condensation attempts : 0
% 0.15/0.45 # Condensation successes : 0
% 0.15/0.45 # Termbank termtop insertions : 5996
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.013 s
% 0.15/0.45 # System time : 0.003 s
% 0.15/0.45 # Total time : 0.016 s
% 0.15/0.45 # Maximum resident set size: 1972 pages
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.058 s
% 0.15/0.45 # System time : 0.011 s
% 0.15/0.45 # Total time : 0.069 s
% 0.15/0.45 # Maximum resident set size: 1756 pages
% 0.15/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------