TSTP Solution File: NUN087+2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : NUN087+2 : TPTP v8.2.0. Released v7.3.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:15:59 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 57 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 22 ~; 16 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 5 sgn 8 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(zerotimeszeroeqzero,conjecture,
? [X39] :
( ? [X22] :
( r1(X22)
& r4(X22,X22,X39) )
& ? [X23] :
( r1(X23)
& X39 = X23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).
fof(axiom_5a,axiom,
! [X33] :
? [X34] :
( ? [X35] :
( r1(X35)
& r4(X33,X35,X34) )
& ? [X36] :
( r1(X36)
& X34 = X36 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(c_0_3,plain,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_4,negated_conjecture,
~ ? [X39] :
( ? [X22] :
( r1(X22)
& r4(X22,X22,X39) )
& ? [X23] :
( r1(X23)
& X39 = X23 ) ),
inference(assume_negation,[status(cth)],[zerotimeszeroeqzero]) ).
fof(c_0_5,plain,
! [X52] :
( r1(esk5_1(X52))
& r4(X52,esk5_1(X52),esk4_1(X52))
& r1(esk6_1(X52))
& esk4_1(X52) = esk6_1(X52) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(c_0_6,plain,
! [X48] :
( ( r1(X48)
| ~ r1(X48) )
& ( X48 = esk1_0
| ~ r1(X48) )
& ( r1(X48)
| X48 != esk1_0 )
& ( X48 = esk1_0
| X48 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_3])])])]) ).
fof(c_0_7,negated_conjecture,
! [X44,X45,X46] :
( ~ r1(X45)
| ~ r4(X45,X45,X44)
| ~ r1(X46)
| X44 != X46 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_8,plain,
r4(X1,esk5_1(X1),esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
esk4_1(X1) = esk6_1(X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
r1(esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
r1(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( ~ r1(X1)
| ~ r4(X1,X1,X2)
| ~ r1(X3)
| X2 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
r4(X1,esk5_1(X1),esk6_1(X1)),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,plain,
esk5_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
esk6_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_17,plain,
( r1(X1)
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r1(X2)
| ~ r1(X1) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
r4(X1,esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
r1(esk1_0),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUN087+2 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.13 % 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 : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 15:00:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 # Version: 3.1.0
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # Starting sh5l with 300s (1) cores
% 0.21/0.50 # new_bool_1 with pid 22580 completed with status 0
% 0.21/0.50 # Result found by new_bool_1
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.21/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 181s (1) cores
% 0.21/0.50 # G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 22584 completed with status 0
% 0.21/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 0.21/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50 # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.21/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 181s (1) cores
% 0.21/0.50 # Preprocessing time : 0.001 s
% 0.21/0.50 # Presaturation interreduction done
% 0.21/0.50
% 0.21/0.50 # Proof found!
% 0.21/0.50 # SZS status Theorem
% 0.21/0.50 # SZS output start CNFRefutation
% See solution above
% 0.21/0.50 # Parsed axioms : 12
% 0.21/0.50 # Removed by relevancy pruning/SinE : 0
% 0.21/0.50 # Initial clauses : 40
% 0.21/0.50 # Removed in clause preprocessing : 8
% 0.21/0.50 # Initial clauses in saturation : 32
% 0.21/0.50 # Processed clauses : 72
% 0.21/0.50 # ...of these trivial : 0
% 0.21/0.50 # ...subsumed : 0
% 0.21/0.50 # ...remaining for further processing : 72
% 0.21/0.50 # Other redundant clauses eliminated : 7
% 0.21/0.50 # Clauses deleted for lack of memory : 0
% 0.21/0.50 # Backward-subsumed : 0
% 0.21/0.50 # Backward-rewritten : 7
% 0.21/0.50 # Generated clauses : 22
% 0.21/0.50 # ...of the previous two non-redundant : 23
% 0.21/0.50 # ...aggressively subsumed : 0
% 0.21/0.50 # Contextual simplify-reflections : 0
% 0.21/0.50 # Paramodulations : 15
% 0.21/0.50 # Factorizations : 0
% 0.21/0.50 # NegExts : 0
% 0.21/0.50 # Equation resolutions : 7
% 0.21/0.50 # Disequality decompositions : 0
% 0.21/0.50 # Total rewrite steps : 19
% 0.21/0.50 # ...of those cached : 7
% 0.21/0.50 # Propositional unsat checks : 0
% 0.21/0.50 # Propositional check models : 0
% 0.21/0.50 # Propositional check unsatisfiable : 0
% 0.21/0.50 # Propositional clauses : 0
% 0.21/0.50 # Propositional clauses after purity: 0
% 0.21/0.50 # Propositional unsat core size : 0
% 0.21/0.50 # Propositional preprocessing time : 0.000
% 0.21/0.50 # Propositional encoding time : 0.000
% 0.21/0.50 # Propositional solver time : 0.000
% 0.21/0.50 # Success case prop preproc time : 0.000
% 0.21/0.50 # Success case prop encoding time : 0.000
% 0.21/0.50 # Success case prop solver time : 0.000
% 0.21/0.50 # Current number of processed clauses : 26
% 0.21/0.50 # Positive orientable unit clauses : 14
% 0.21/0.50 # Positive unorientable unit clauses: 0
% 0.21/0.50 # Negative unit clauses : 2
% 0.21/0.50 # Non-unit-clauses : 10
% 0.21/0.50 # Current number of unprocessed clauses: 14
% 0.21/0.50 # ...number of literals in the above : 20
% 0.21/0.50 # Current number of archived formulas : 0
% 0.21/0.50 # Current number of archived clauses : 39
% 0.21/0.50 # Clause-clause subsumption calls (NU) : 17
% 0.21/0.50 # Rec. Clause-clause subsumption calls : 17
% 0.21/0.50 # Non-unit clause-clause subsumptions : 0
% 0.21/0.50 # Unit Clause-clause subsumption calls : 15
% 0.21/0.50 # Rewrite failures with RHS unbound : 0
% 0.21/0.50 # BW rewrite match attempts : 14
% 0.21/0.50 # BW rewrite match successes : 6
% 0.21/0.50 # Condensation attempts : 0
% 0.21/0.50 # Condensation successes : 0
% 0.21/0.50 # Termbank termtop insertions : 1703
% 0.21/0.50 # Search garbage collected termcells : 291
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.007 s
% 0.21/0.50 # System time : 0.002 s
% 0.21/0.50 # Total time : 0.009 s
% 0.21/0.50 # Maximum resident set size: 1852 pages
% 0.21/0.50
% 0.21/0.50 # -------------------------------------------------
% 0.21/0.50 # User time : 0.010 s
% 0.21/0.50 # System time : 0.003 s
% 0.21/0.50 # Total time : 0.013 s
% 0.21/0.50 # Maximum resident set size: 1740 pages
% 0.21/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------