TSTP Solution File: KRS216+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : KRS216+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 08:12:33 EDT 2024
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 74 ( 31 ~; 26 |; 10 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 5 sgn 39 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',completeness) ).
fof(contradiction,axiom,
? [X10] :
! [X9] : ~ model(X9,X10),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',contradiction) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',thm) ).
fof(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',tautology) ).
fof(uns,axiom,
! [X1,X2] :
( ( ! [X3] : model(X3,X1)
& ! [X4] : model(X4,not(X2)) )
<=> status(X1,X2,uns) ),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',uns) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',nota) ).
fof(nota_uns_thm,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox2/tmp/tmp.yaCqdE7ok2/E---3.1_28406.p',nota_uns_thm) ).
fof(c_0_7,plain,
! [X9,X10] :
~ ( model(X9,X10)
<=> model(X9,not(X10)) ),
inference(fof_simplification,[status(thm)],[completeness]) ).
fof(c_0_8,plain,
? [X10] :
! [X9] : ~ model(X9,X10),
inference(fof_simplification,[status(thm)],[contradiction]) ).
fof(c_0_9,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])])])])])])]) ).
fof(c_0_10,plain,
! [X54,X55] :
( ( ~ model(X54,X55)
| ~ model(X54,not(X55)) )
& ( model(X54,X55)
| model(X54,not(X55)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X39] : ~ model(X39,esk10_0),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])])]) ).
cnf(c_0_12,plain,
( status(X1,X2,thm)
| ~ model(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( model(X1,X2)
| model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
~ model(X1,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( status(X1,not(X2),thm)
| model(esk3_2(X1,not(X2)),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
status(X1,not(esk10_0),thm),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_18,plain,
! [X34] : model(X34,esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
fof(c_0_19,plain,
! [X25,X26,X29,X30,X31,X32] :
( ( ~ model(esk4_2(X25,X26),X25)
| ~ model(esk5_2(X25,X26),not(X26))
| status(X25,X26,uns) )
& ( model(X31,X29)
| ~ status(X29,X30,uns) )
& ( model(X32,not(X30))
| ~ status(X29,X30,uns) ) ),
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)],[uns])])])])])])]) ).
cnf(c_0_20,plain,
( model(X1,not(esk10_0))
| ~ model(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
model(X1,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,plain,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
inference(fof_simplification,[status(thm)],[nota]) ).
cnf(c_0_23,plain,
( status(X1,X2,uns)
| ~ model(esk4_2(X1,X2),X1)
| ~ model(esk5_2(X1,X2),not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
model(X1,not(esk10_0)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,negated_conjecture,
~ nota(uns,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nota_uns_thm])]) ).
fof(c_0_26,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ~ status(X13,X14,X11)
| status(X13,X14,X12)
| nota(X11,X12) )
& ( status(esk1_2(X15,X16),esk2_2(X15,X16),X15)
| ~ nota(X15,X16) )
& ( ~ status(esk1_2(X15,X16),esk2_2(X15,X16),X16)
| ~ nota(X15,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)],[c_0_22])])])])])])]) ).
cnf(c_0_27,plain,
( status(X1,esk10_0,uns)
| ~ model(esk4_2(X1,esk10_0),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_28,negated_conjecture,
~ nota(uns,thm),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( status(X1,X2,X4)
| nota(X3,X4)
| ~ status(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
status(esk6_0,esk10_0,uns),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
~ nota(uns,thm),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( nota(uns,X1)
| status(esk6_0,esk10_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
status(esk6_0,esk10_0,thm),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_33]),c_0_21])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : KRS216+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Fri May 3 13:44:42 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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.yaCqdE7ok2/E---3.1_28406.p
% 0.16/0.45 # Version: 3.1.0
% 0.16/0.45 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # new_bool_3 with pid 28485 completed with status 0
% 0.16/0.45 # Result found by new_bool_3
% 0.16/0.45 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGHNF-FFSM21-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # SAT001_MinMin_p005000_rr_RG with pid 28489 completed with status 0
% 0.16/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FGHNF-FFSM21-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # Preprocessing time : 0.004 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 33
% 0.16/0.45 # Removed by relevancy pruning/SinE : 21
% 0.16/0.45 # Initial clauses : 29
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 29
% 0.16/0.45 # Processed clauses : 91
% 0.16/0.45 # ...of these trivial : 1
% 0.16/0.45 # ...subsumed : 8
% 0.16/0.45 # ...remaining for further processing : 82
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 1
% 0.16/0.45 # Generated clauses : 92
% 0.16/0.45 # ...of the previous two non-redundant : 68
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 92
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Disequality decompositions : 0
% 0.16/0.45 # Total rewrite steps : 22
% 0.16/0.45 # ...of those cached : 11
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 54
% 0.16/0.45 # Positive orientable unit clauses : 18
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 8
% 0.16/0.45 # Non-unit-clauses : 28
% 0.16/0.45 # Current number of unprocessed clauses: 24
% 0.16/0.45 # ...number of literals in the above : 55
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 28
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 88
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 79
% 0.16/0.45 # Non-unit clause-clause subsumptions : 5
% 0.16/0.45 # Unit Clause-clause subsumption calls : 30
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 10
% 0.16/0.45 # BW rewrite match successes : 1
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 2823
% 0.16/0.45 # Search garbage collected termcells : 538
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.006 s
% 0.16/0.45 # System time : 0.004 s
% 0.16/0.45 # Total time : 0.011 s
% 0.16/0.45 # Maximum resident set size: 1868 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.007 s
% 0.16/0.45 # System time : 0.007 s
% 0.16/0.45 # Total time : 0.014 s
% 0.16/0.45 # Maximum resident set size: 1732 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.45 % E exiting
%------------------------------------------------------------------------------