TSTP Solution File: NUM190-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 18:58:27 EDT 2023
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 14 unt; 4 nHn; 21 RR)
% Number of literals : 37 ( 12 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',omega_is_inductive1) ).
cnf(prove_omega_is_not_null_1,negated_conjecture,
omega = null_class,
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',prove_omega_is_not_null_1) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',intersection1) ).
cnf(regularity2,axiom,
( X1 = null_class
| intersection(X1,regular(X1)) = null_class ),
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',regularity2) ).
cnf(inductive1,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',inductive1) ).
cnf(complement1,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',complement1) ).
cnf(omega_in_universal,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.r9OGFPuaR8/E---3.1_15440.p',omega_in_universal) ).
cnf(c_0_7,axiom,
inductive(omega),
omega_is_inductive1 ).
cnf(c_0_8,negated_conjecture,
omega = null_class,
prove_omega_is_not_null_1 ).
cnf(c_0_9,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
intersection1 ).
cnf(c_0_10,axiom,
( X1 = null_class
| intersection(X1,regular(X1)) = null_class ),
regularity2 ).
cnf(c_0_11,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
inductive1 ).
cnf(c_0_12,plain,
inductive(null_class),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( X1 = null_class
| member(X2,X1)
| ~ member(X2,null_class) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
member(null_class,null_class),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
complement1 ).
cnf(c_0_16,plain,
( X1 = null_class
| member(null_class,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,axiom,
member(omega,universal_class),
omega_in_universal ).
cnf(c_0_18,plain,
( complement(X1) = null_class
| ~ member(null_class,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
member(null_class,universal_class),
inference(rw,[status(thm)],[c_0_17,c_0_8]) ).
cnf(c_0_20,plain,
complement(null_class) = null_class,
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_21,plain,
null_class = complement(universal_class),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
complement(complement(universal_class)) = complement(universal_class),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_23,plain,
~ member(X1,complement(universal_class)),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_21]),c_0_21]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 15:10:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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.r9OGFPuaR8/E---3.1_15440.p
% 0.20/0.51 # Version: 3.1pre001
% 0.20/0.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51 # Starting sh5l with 300s (1) cores
% 0.20/0.51 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15517 completed with status 0
% 0.20/0.51 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51 # No SInE strategy applied
% 0.20/0.51 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.20/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.20/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 308s (1) cores
% 0.20/0.51 # Starting sh5l with 304s (1) cores
% 0.20/0.51 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.51 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15526 completed with status 0
% 0.20/0.51 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.51 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.51 # No SInE strategy applied
% 0.20/0.51 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.20/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.20/0.51 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.51 # Preprocessing time : 0.003 s
% 0.20/0.51 # Presaturation interreduction done
% 0.20/0.51
% 0.20/0.51 # Proof found!
% 0.20/0.51 # SZS status Unsatisfiable
% 0.20/0.51 # SZS output start CNFRefutation
% See solution above
% 0.20/0.51 # Parsed axioms : 159
% 0.20/0.51 # Removed by relevancy pruning/SinE : 0
% 0.20/0.51 # Initial clauses : 159
% 0.20/0.51 # Removed in clause preprocessing : 19
% 0.20/0.51 # Initial clauses in saturation : 140
% 0.20/0.51 # Processed clauses : 216
% 0.20/0.51 # ...of these trivial : 1
% 0.20/0.51 # ...subsumed : 1
% 0.20/0.51 # ...remaining for further processing : 213
% 0.20/0.51 # Other redundant clauses eliminated : 6
% 0.20/0.51 # Clauses deleted for lack of memory : 0
% 0.20/0.51 # Backward-subsumed : 0
% 0.20/0.51 # Backward-rewritten : 34
% 0.20/0.51 # Generated clauses : 61
% 0.20/0.51 # ...of the previous two non-redundant : 69
% 0.20/0.51 # ...aggressively subsumed : 0
% 0.20/0.51 # Contextual simplify-reflections : 0
% 0.20/0.51 # Paramodulations : 55
% 0.20/0.51 # Factorizations : 0
% 0.20/0.51 # NegExts : 0
% 0.20/0.51 # Equation resolutions : 6
% 0.20/0.51 # Total rewrite steps : 57
% 0.20/0.51 # Propositional unsat checks : 0
% 0.20/0.51 # Propositional check models : 0
% 0.20/0.51 # Propositional check unsatisfiable : 0
% 0.20/0.51 # Propositional clauses : 0
% 0.20/0.51 # Propositional clauses after purity: 0
% 0.20/0.51 # Propositional unsat core size : 0
% 0.20/0.51 # Propositional preprocessing time : 0.000
% 0.20/0.51 # Propositional encoding time : 0.000
% 0.20/0.51 # Propositional solver time : 0.000
% 0.20/0.51 # Success case prop preproc time : 0.000
% 0.20/0.51 # Success case prop encoding time : 0.000
% 0.20/0.51 # Success case prop solver time : 0.000
% 0.20/0.51 # Current number of processed clauses : 34
% 0.20/0.51 # Positive orientable unit clauses : 12
% 0.20/0.51 # Positive unorientable unit clauses: 0
% 0.20/0.51 # Negative unit clauses : 1
% 0.20/0.51 # Non-unit-clauses : 21
% 0.20/0.51 # Current number of unprocessed clauses: 127
% 0.20/0.51 # ...number of literals in the above : 290
% 0.20/0.51 # Current number of archived formulas : 0
% 0.20/0.51 # Current number of archived clauses : 192
% 0.20/0.51 # Clause-clause subsumption calls (NU) : 3124
% 0.20/0.51 # Rec. Clause-clause subsumption calls : 1514
% 0.20/0.51 # Non-unit clause-clause subsumptions : 0
% 0.20/0.51 # Unit Clause-clause subsumption calls : 11
% 0.20/0.51 # Rewrite failures with RHS unbound : 0
% 0.20/0.51 # BW rewrite match attempts : 20
% 0.20/0.51 # BW rewrite match successes : 15
% 0.20/0.51 # Condensation attempts : 0
% 0.20/0.51 # Condensation successes : 0
% 0.20/0.51 # Termbank termtop insertions : 9410
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.022 s
% 0.20/0.51 # System time : 0.004 s
% 0.20/0.51 # Total time : 0.026 s
% 0.20/0.51 # Maximum resident set size: 2208 pages
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.076 s
% 0.20/0.51 # System time : 0.011 s
% 0.20/0.51 # Total time : 0.087 s
% 0.20/0.51 # Maximum resident set size: 1816 pages
% 0.20/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------