TSTP Solution File: SWC406+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWC406+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 04:26:31 EDT 2024
% Result : Theorem 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 89 ( 14 equ)
% Maximal formula atoms : 34 ( 7 avg)
% Number of connectives : 115 ( 38 ~; 37 |; 28 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X1,X7)
| memberP(X2,X7) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ( ( ~ memberP(X3,X5)
& ! [X6] :
( ssItem(X6)
=> ( ~ memberP(X4,X6)
| ~ leq(X6,X5)
| X5 = X6 ) )
& memberP(X4,X5) )
| ( memberP(X3,X5)
& ( ~ memberP(X4,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X4,X6)
& leq(X6,X5) ) ) ) ) )
| ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X1,X7)
| memberP(X2,X7) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X12,X14] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ( ssItem(esk5_1(X12))
| memberP(esk3_0,X12)
| ~ memberP(esk4_0,X12)
| ~ ssItem(X12) )
& ( memberP(esk4_0,esk5_1(X12))
| memberP(esk3_0,X12)
| ~ memberP(esk4_0,X12)
| ~ ssItem(X12) )
& ( leq(esk5_1(X12),X12)
| memberP(esk3_0,X12)
| ~ memberP(esk4_0,X12)
| ~ ssItem(X12) )
& ( X12 != esk5_1(X12)
| memberP(esk3_0,X12)
| ~ memberP(esk4_0,X12)
| ~ ssItem(X12) )
& ( memberP(esk4_0,X12)
| ~ memberP(esk3_0,X12)
| ~ ssItem(X12) )
& ( ~ ssItem(X14)
| X12 = X14
| ~ memberP(esk4_0,X14)
| ~ leq(X14,X12)
| ~ memberP(esk3_0,X12)
| ~ ssItem(X12) )
& ssItem(esk6_0)
& memberP(esk1_0,esk6_0)
& ~ memberP(esk2_0,esk6_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
memberP(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
~ memberP(esk2_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( memberP(esk4_0,X1)
| ~ memberP(esk3_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
memberP(esk3_0,esk6_0),
inference(rw,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_9,negated_conjecture,
ssItem(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
~ memberP(esk4_0,esk6_0),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWC406+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 03:44:22 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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/benchmark/theBenchmark.p
% 0.15/0.45 # Version: 3.1.0
% 0.15/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 # Starting sh5l with 300s (1) cores
% 0.15/0.45 # new_bool_1 with pid 6443 completed with status 0
% 0.15/0.45 # Result found by new_bool_1
% 0.15/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.45 # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6446 completed with status 0
% 0.15/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.45 # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.45 # Preprocessing time : 0.002 s
% 0.15/0.45 # Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 # Proof found!
% 0.15/0.45 # SZS status Theorem
% 0.15/0.45 # SZS output start CNFRefutation
% See solution above
% 0.15/0.45 # Parsed axioms : 96
% 0.15/0.45 # Removed by relevancy pruning/SinE : 66
% 0.15/0.45 # Initial clauses : 60
% 0.15/0.45 # Removed in clause preprocessing : 0
% 0.15/0.45 # Initial clauses in saturation : 60
% 0.15/0.45 # Processed clauses : 80
% 0.15/0.45 # ...of these trivial : 2
% 0.15/0.45 # ...subsumed : 2
% 0.15/0.45 # ...remaining for further processing : 76
% 0.15/0.45 # Other redundant clauses eliminated : 5
% 0.15/0.45 # Clauses deleted for lack of memory : 0
% 0.15/0.45 # Backward-subsumed : 0
% 0.15/0.45 # Backward-rewritten : 0
% 0.15/0.45 # Generated clauses : 5
% 0.15/0.45 # ...of the previous two non-redundant : 4
% 0.15/0.45 # ...aggressively subsumed : 0
% 0.15/0.45 # Contextual simplify-reflections : 0
% 0.15/0.45 # Paramodulations : 1
% 0.15/0.45 # Factorizations : 0
% 0.15/0.45 # NegExts : 0
% 0.15/0.45 # Equation resolutions : 5
% 0.15/0.45 # Disequality decompositions : 0
% 0.15/0.45 # Total rewrite steps : 8
% 0.15/0.45 # ...of those cached : 2
% 0.15/0.45 # Propositional unsat checks : 0
% 0.15/0.45 # Propositional check models : 0
% 0.15/0.45 # Propositional check unsatisfiable : 0
% 0.15/0.45 # Propositional clauses : 0
% 0.15/0.45 # Propositional clauses after purity: 0
% 0.15/0.45 # Propositional unsat core size : 0
% 0.15/0.45 # Propositional preprocessing time : 0.000
% 0.15/0.45 # Propositional encoding time : 0.000
% 0.15/0.45 # Propositional solver time : 0.000
% 0.15/0.45 # Success case prop preproc time : 0.000
% 0.15/0.45 # Success case prop encoding time : 0.000
% 0.15/0.45 # Success case prop solver time : 0.000
% 0.15/0.45 # Current number of processed clauses : 16
% 0.15/0.45 # Positive orientable unit clauses : 9
% 0.15/0.45 # Positive unorientable unit clauses: 0
% 0.15/0.45 # Negative unit clauses : 2
% 0.15/0.45 # Non-unit-clauses : 5
% 0.15/0.45 # Current number of unprocessed clauses: 40
% 0.15/0.45 # ...number of literals in the above : 169
% 0.15/0.45 # Current number of archived formulas : 0
% 0.15/0.45 # Current number of archived clauses : 56
% 0.15/0.45 # Clause-clause subsumption calls (NU) : 389
% 0.15/0.45 # Rec. Clause-clause subsumption calls : 80
% 0.15/0.45 # Non-unit clause-clause subsumptions : 2
% 0.15/0.45 # Unit Clause-clause subsumption calls : 0
% 0.15/0.45 # Rewrite failures with RHS unbound : 0
% 0.15/0.45 # BW rewrite match attempts : 0
% 0.15/0.45 # BW rewrite match successes : 0
% 0.15/0.45 # Condensation attempts : 0
% 0.15/0.45 # Condensation successes : 0
% 0.15/0.45 # Termbank termtop insertions : 6153
% 0.15/0.45 # Search garbage collected termcells : 1829
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.008 s
% 0.15/0.45 # System time : 0.003 s
% 0.15/0.45 # Total time : 0.011 s
% 0.15/0.45 # Maximum resident set size: 2016 pages
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.012 s
% 0.15/0.45 # System time : 0.004 s
% 0.15/0.45 # Total time : 0.016 s
% 0.15/0.45 # Maximum resident set size: 1824 pages
% 0.15/0.45 % E---3.1 exiting
% 0.15/0.45 % E exiting
%------------------------------------------------------------------------------