TSTP Solution File: KRS261+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : KRS261+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 : Mon May 20 23:18:02 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 143 ( 56 ~; 60 |; 20 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 11 sgn 30 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(eth,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
<=> model(X5,X2) ) )
<=> status(X1,X2,eth) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eth) ).
fof(mighta,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& status(X1,X2,X8) )
<=> mighta(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(mighta_eth_thm,conjecture,
mighta(eth,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_eth_thm) ).
fof(c_0_5,plain,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
<=> model(X5,X2) ) )
<=> status(X1,X2,eth) ),
inference(fof_simplification,[status(thm)],[eth]) ).
fof(c_0_6,plain,
! [X25,X26,X27,X28,X30,X31,X34,X35] :
( ( ~ model(esk4_2(X25,X26),X25)
| ~ model(esk4_2(X25,X26),X26)
| ~ model(X27,X25)
| model(X28,X25)
| status(X25,X26,eth) )
& ( model(esk4_2(X25,X26),X25)
| model(esk4_2(X25,X26),X26)
| ~ model(X27,X25)
| model(X28,X25)
| status(X25,X26,eth) )
& ( model(esk5_2(X30,X31),X30)
| ~ status(X30,X31,eth) )
& ( ~ model(esk6_2(X30,X31),X30)
| ~ status(X30,X31,eth) )
& ( ~ model(X34,X30)
| model(X34,X31)
| ~ status(X30,X31,eth) )
& ( ~ model(X35,X31)
| model(X35,X30)
| ~ status(X30,X31,eth) ) ),
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_5])])])])])])]) ).
fof(c_0_7,plain,
! [X11,X12,X13,X14,X15,X16] :
( ( ~ status(X13,X14,X11)
| ~ status(X13,X14,X12)
| mighta(X11,X12) )
& ( status(esk1_2(X15,X16),esk2_2(X15,X16),X15)
| ~ mighta(X15,X16) )
& ( status(esk1_2(X15,X16),esk2_2(X15,X16),X16)
| ~ mighta(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)],[mighta])])])])])])]) ).
fof(c_0_8,plain,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
inference(fof_simplification,[status(thm)],[non_thm_spt]) ).
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])])])])])])]) ).
cnf(c_0_10,plain,
( model(X1,X3)
| ~ model(X1,X2)
| ~ status(X2,X3,eth) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( status(esk1_2(X1,X2),esk2_2(X1,X2),X2)
| ~ mighta(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
( model(esk21_0,esk22_0)
& ~ model(esk21_0,esk23_0)
& model(esk24_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])])]) ).
cnf(c_0_13,plain,
( status(X1,X2,thm)
| ~ model(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( model(X1,esk2_2(X2,eth))
| ~ mighta(X2,eth)
| ~ model(X1,esk1_2(X2,eth)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( model(esk4_2(X1,X2),X1)
| model(esk4_2(X1,X2),X2)
| model(X4,X1)
| status(X1,X2,eth)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,plain,
model(esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( status(esk1_2(X1,X2),esk2_2(X1,X2),X1)
| ~ mighta(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( status(X1,esk2_2(X2,eth),thm)
| ~ mighta(X2,eth)
| ~ model(esk3_2(X1,esk2_2(X2,eth)),esk1_2(X2,eth)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( model(esk3_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_20,negated_conjecture,
~ mighta(eth,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[mighta_eth_thm])]) ).
cnf(c_0_21,plain,
( status(esk23_0,X1,eth)
| model(esk4_2(esk23_0,X1),esk23_0)
| model(esk4_2(esk23_0,X1),X1)
| model(X2,esk23_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( model(X1,esk2_2(eth,X2))
| ~ mighta(eth,X2)
| ~ model(X1,esk1_2(eth,X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_23,plain,
( mighta(X3,X4)
| ~ status(X1,X2,X3)
| ~ status(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,plain,
( status(esk1_2(X1,eth),esk2_2(X1,eth),thm)
| ~ mighta(X1,eth) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,negated_conjecture,
~ mighta(eth,thm),
inference(fof_nnf,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( model(X4,X1)
| status(X1,X2,eth)
| ~ model(esk4_2(X1,X2),X1)
| ~ model(esk4_2(X1,X2),X2)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,plain,
( status(esk23_0,esk23_0,eth)
| model(esk4_2(esk23_0,esk23_0),esk23_0) ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( status(X1,esk2_2(eth,X2),thm)
| ~ mighta(eth,X2)
| ~ model(esk3_2(X1,esk2_2(eth,X2)),esk1_2(eth,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_29,plain,
( mighta(X1,thm)
| ~ mighta(X2,eth)
| ~ status(esk1_2(X2,eth),esk2_2(X2,eth),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
~ mighta(eth,thm),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
status(X1,X1,thm),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_32,plain,
( status(esk23_0,esk23_0,eth)
| model(X1,esk23_0)
| ~ model(X2,esk23_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_27]) ).
cnf(c_0_33,plain,
( mighta(X1,X2)
| ~ mighta(X2,X3)
| ~ status(esk1_2(X2,X3),esk2_2(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_34,plain,
( status(esk1_2(eth,X1),esk2_2(eth,X1),thm)
| ~ mighta(eth,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_35,plain,
~ mighta(X1,eth),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_11]),c_0_30]) ).
cnf(c_0_36,plain,
( mighta(X1,thm)
| ~ status(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_37,plain,
( status(esk23_0,esk23_0,eth)
| model(X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_38,plain,
~ mighta(eth,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,plain,
~ model(esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,plain,
model(X1,esk23_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS261+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 22:29:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 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
% 0.19/0.49 # Version: 3.1.0
% 0.19/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # new_bool_3 with pid 5779 completed with status 0
% 0.19/0.49 # Result found by new_bool_3
% 0.19/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.19/0.49 # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.49 # SAT001_MinMin_p005000_rr_RG with pid 5782 completed with status 0
% 0.19/0.49 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.49 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.19/0.49 # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.49 # Preprocessing time : 0.002 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Theorem
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 33
% 0.19/0.49 # Removed by relevancy pruning/SinE : 23
% 0.19/0.49 # Initial clauses : 28
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 28
% 0.19/0.49 # Processed clauses : 161
% 0.19/0.49 # ...of these trivial : 2
% 0.19/0.49 # ...subsumed : 25
% 0.19/0.49 # ...remaining for further processing : 134
% 0.19/0.49 # Other redundant clauses eliminated : 0
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 24
% 0.19/0.49 # Backward-rewritten : 5
% 0.19/0.49 # Generated clauses : 307
% 0.19/0.49 # ...of the previous two non-redundant : 267
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 1
% 0.19/0.49 # Paramodulations : 261
% 0.19/0.49 # Factorizations : 46
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 0
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 28
% 0.19/0.49 # ...of those cached : 17
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 77
% 0.19/0.49 # Positive orientable unit clauses : 13
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 10
% 0.19/0.49 # Non-unit-clauses : 54
% 0.19/0.49 # Current number of unprocessed clauses: 127
% 0.19/0.49 # ...number of literals in the above : 611
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 57
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 946
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 522
% 0.19/0.49 # Non-unit clause-clause subsumptions : 25
% 0.19/0.49 # Unit Clause-clause subsumption calls : 106
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 14
% 0.19/0.49 # BW rewrite match successes : 6
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 6595
% 0.19/0.49 # Search garbage collected termcells : 601
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.016 s
% 0.19/0.49 # System time : 0.003 s
% 0.19/0.49 # Total time : 0.019 s
% 0.19/0.49 # Maximum resident set size: 1900 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.018 s
% 0.19/0.49 # System time : 0.006 s
% 0.19/0.49 # Total time : 0.023 s
% 0.19/0.49 # Maximum resident set size: 1744 pages
% 0.19/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------