TSTP Solution File: KRS186+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS186+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : Sat May 4 08:12:29 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 69 ( 24 ~; 30 |; 9 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(eqv,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
<=> model(X4,X2) ) )
<=> status(X1,X2,eqv) ),
file('/export/starexec/sandbox/tmp/tmp.aKfYMZeO7O/E---3.1_12395.p',eqv) ).
fof(isa,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> status(X1,X2,X8) )
<=> isa(X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.aKfYMZeO7O/E---3.1_12395.p',isa) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/tmp/tmp.aKfYMZeO7O/E---3.1_12395.p',thm) ).
fof(isa_eqv_thm,conjecture,
isa(eqv,thm),
file('/export/starexec/sandbox/tmp/tmp.aKfYMZeO7O/E---3.1_12395.p',isa_eqv_thm) ).
fof(c_0_4,plain,
! [X25,X26,X27,X29,X30,X32,X33] :
( ( ~ model(esk4_2(X25,X26),X25)
| ~ model(esk4_2(X25,X26),X26)
| ~ model(X27,X25)
| status(X25,X26,eqv) )
& ( model(esk4_2(X25,X26),X25)
| model(esk4_2(X25,X26),X26)
| ~ model(X27,X25)
| status(X25,X26,eqv) )
& ( model(esk5_2(X29,X30),X29)
| ~ status(X29,X30,eqv) )
& ( ~ model(X32,X29)
| model(X32,X30)
| ~ status(X29,X30,eqv) )
& ( ~ model(X33,X30)
| model(X33,X29)
| ~ status(X29,X30,eqv) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[eqv])])])])])])]) ).
fof(c_0_5,plain,
! [X11,X12,X15,X16,X17,X18] :
( ( status(esk1_2(X11,X12),esk2_2(X11,X12),X11)
| isa(X11,X12) )
& ( ~ status(esk1_2(X11,X12),esk2_2(X11,X12),X12)
| isa(X11,X12) )
& ( ~ isa(X15,X16)
| ~ status(X17,X18,X15)
| status(X17,X18,X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])])]) ).
fof(c_0_6,plain,
! [X19,X20,X22,X23,X24] :
( ( model(esk3_2(X19,X20),X19)
| status(X19,X20,thm) )
& ( ~ model(esk3_2(X19,X20),X20)
| status(X19,X20,thm) )
& ( ~ status(X22,X23,thm)
| ~ model(X24,X22)
| model(X24,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])])]) ).
cnf(c_0_7,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,eqv) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( status(esk1_2(X1,X2),esk2_2(X1,X2),X1)
| isa(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( status(X1,X2,thm)
| ~ model(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( isa(eqv,X1)
| model(X2,esk2_2(eqv,X1))
| ~ model(X2,esk1_2(eqv,X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_11,negated_conjecture,
~ isa(eqv,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[isa_eqv_thm])]) ).
cnf(c_0_12,plain,
( isa(eqv,X1)
| status(X2,esk2_2(eqv,X1),thm)
| ~ model(esk3_2(X2,esk2_2(eqv,X1)),esk1_2(eqv,X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( model(esk3_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_14,negated_conjecture,
~ isa(eqv,thm),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( isa(X1,X2)
| ~ status(esk1_2(X1,X2),esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( isa(eqv,X1)
| status(esk1_2(eqv,X1),esk2_2(eqv,X1),thm) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ isa(eqv,thm),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS186+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n012.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 : Fri May 3 13:35:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.aKfYMZeO7O/E---3.1_12395.p
% 0.22/0.51 # Version: 3.1.0
% 0.22/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51 # Starting sh5l with 300s (1) cores
% 0.22/0.51 # new_bool_3 with pid 12517 completed with status 0
% 0.22/0.51 # Result found by new_bool_3
% 0.22/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51 # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.22/0.51 # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.22/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51 # SAT001_MinMin_p005000_rr_RG with pid 12523 completed with status 0
% 0.22/0.51 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51 # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.22/0.51 # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.22/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51 # Preprocessing time : 0.002 s
% 0.22/0.51 # Presaturation interreduction done
% 0.22/0.51
% 0.22/0.51 # Proof found!
% 0.22/0.51 # SZS status Theorem
% 0.22/0.51 # SZS output start CNFRefutation
% See solution above
% 0.22/0.51 # Parsed axioms : 33
% 0.22/0.51 # Removed by relevancy pruning/SinE : 23
% 0.22/0.51 # Initial clauses : 27
% 0.22/0.51 # Removed in clause preprocessing : 0
% 0.22/0.51 # Initial clauses in saturation : 27
% 0.22/0.51 # Processed clauses : 82
% 0.22/0.51 # ...of these trivial : 0
% 0.22/0.51 # ...subsumed : 3
% 0.22/0.51 # ...remaining for further processing : 79
% 0.22/0.51 # Other redundant clauses eliminated : 0
% 0.22/0.51 # Clauses deleted for lack of memory : 0
% 0.22/0.51 # Backward-subsumed : 0
% 0.22/0.51 # Backward-rewritten : 0
% 0.22/0.51 # Generated clauses : 65
% 0.22/0.51 # ...of the previous two non-redundant : 52
% 0.22/0.51 # ...aggressively subsumed : 0
% 0.22/0.51 # Contextual simplify-reflections : 0
% 0.22/0.51 # Paramodulations : 65
% 0.22/0.51 # Factorizations : 0
% 0.22/0.51 # NegExts : 0
% 0.22/0.51 # Equation resolutions : 0
% 0.22/0.51 # Disequality decompositions : 0
% 0.22/0.51 # Total rewrite steps : 12
% 0.22/0.51 # ...of those cached : 5
% 0.22/0.51 # Propositional unsat checks : 0
% 0.22/0.51 # Propositional check models : 0
% 0.22/0.51 # Propositional check unsatisfiable : 0
% 0.22/0.51 # Propositional clauses : 0
% 0.22/0.51 # Propositional clauses after purity: 0
% 0.22/0.51 # Propositional unsat core size : 0
% 0.22/0.51 # Propositional preprocessing time : 0.000
% 0.22/0.51 # Propositional encoding time : 0.000
% 0.22/0.51 # Propositional solver time : 0.000
% 0.22/0.51 # Success case prop preproc time : 0.000
% 0.22/0.51 # Success case prop encoding time : 0.000
% 0.22/0.51 # Success case prop solver time : 0.000
% 0.22/0.51 # Current number of processed clauses : 52
% 0.22/0.51 # Positive orientable unit clauses : 14
% 0.22/0.51 # Positive unorientable unit clauses: 0
% 0.22/0.51 # Negative unit clauses : 8
% 0.22/0.51 # Non-unit-clauses : 30
% 0.22/0.51 # Current number of unprocessed clauses: 22
% 0.22/0.51 # ...number of literals in the above : 82
% 0.22/0.51 # Current number of archived formulas : 0
% 0.22/0.51 # Current number of archived clauses : 27
% 0.22/0.51 # Clause-clause subsumption calls (NU) : 71
% 0.22/0.51 # Rec. Clause-clause subsumption calls : 54
% 0.22/0.51 # Non-unit clause-clause subsumptions : 2
% 0.22/0.51 # Unit Clause-clause subsumption calls : 21
% 0.22/0.51 # Rewrite failures with RHS unbound : 0
% 0.22/0.51 # BW rewrite match attempts : 5
% 0.22/0.51 # BW rewrite match successes : 0
% 0.22/0.51 # Condensation attempts : 0
% 0.22/0.51 # Condensation successes : 0
% 0.22/0.51 # Termbank termtop insertions : 2924
% 0.22/0.51 # Search garbage collected termcells : 584
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.009 s
% 0.22/0.51 # System time : 0.002 s
% 0.22/0.51 # Total time : 0.011 s
% 0.22/0.51 # Maximum resident set size: 1928 pages
% 0.22/0.51
% 0.22/0.51 # -------------------------------------------------
% 0.22/0.51 # User time : 0.011 s
% 0.22/0.51 # System time : 0.004 s
% 0.22/0.51 # Total time : 0.015 s
% 0.22/0.51 # Maximum resident set size: 1728 pages
% 0.22/0.51 % E---3.1 exiting
% 0.22/0.51 % E exiting
%------------------------------------------------------------------------------