TSTP Solution File: ITP015+4 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP015+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 08:06:28 EDT 2024
% Result : Theorem 40.07s 17.54s
% Output : CNFRefutation 40.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Einteger__word_2Ei2w__0,conjecture,
! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/tmp/tmp.c8OR0w50MT/E---3.1_4007.p',thm_2Einteger__word_2Ei2w__0) ).
fof(thm_2Einteger__word_2Ei2w__w2i,axiom,
! [X1,X12342] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12342))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X12342),
file('/export/starexec/sandbox2/tmp/tmp.c8OR0w50MT/E---3.1_4007.p',thm_2Einteger__word_2Ei2w__w2i) ).
fof(thm_2Ewords_2Ew2w__0,axiom,
! [X1,X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/tmp/tmp.c8OR0w50MT/E---3.1_4007.p',thm_2Ewords_2Ew2w__0) ).
fof(thm_2Einteger__word_2Eword__0__w2i,axiom,
! [X1] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox2/tmp/tmp.c8OR0w50MT/E---3.1_4007.p',thm_2Einteger__word_2Eword__0__w2i) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0]) ).
fof(c_0_5,plain,
! [X14129,X14130] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X14129),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X14129),X14130))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X14129),X14130),
inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Ei2w__w2i]) ).
fof(c_0_6,plain,
! [X16892,X16893] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16892),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16893),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16892),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Ew2w__0]) ).
fof(c_0_7,plain,
! [X16639] : s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X16639),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Eword__0__w2i]) ).
fof(c_0_8,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_9,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Ew2w_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
s(tyop_2Einteger_2Eint,c_2Einteger__word_2Ew2i_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 3.13/3.14 % Problem : ITP015+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 3.13/3.16 % Command : run_E %s %d THM
% 3.17/3.37 % Computer : n014.cluster.edu
% 3.17/3.37 % Model : x86_64 x86_64
% 3.17/3.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 3.17/3.37 % Memory : 8042.1875MB
% 3.17/3.37 % OS : Linux 3.10.0-693.el7.x86_64
% 3.17/3.37 % CPULimit : 300
% 3.17/3.37 % WCLimit : 300
% 3.17/3.37 % DateTime : Fri May 3 11:57:06 EDT 2024
% 3.17/3.37 % CPUTime :
% 11.60/11.82 Running first-order theorem proving
% 11.60/11.82 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.c8OR0w50MT/E---3.1_4007.p
% 40.07/17.54 # Version: 3.1.0
% 40.07/17.54 # Preprocessing class: FMLLSMLLSSSNFFN.
% 40.07/17.54 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 40.07/17.54 # Starting new_bool_3 with 897s (3) cores
% 40.07/17.54 # Starting new_bool_1 with 897s (3) cores
% 40.07/17.54 # Starting sh5l with 299s (1) cores
% 40.07/17.54 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 40.07/17.54 # new_bool_3 with pid 4098 completed with status 0
% 40.07/17.54 # Result found by new_bool_3
% 40.07/17.54 # Preprocessing class: FMLLSMLLSSSNFFN.
% 40.07/17.54 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 40.07/17.54 # Starting new_bool_3 with 897s (3) cores
% 40.07/17.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 40.07/17.54 # Search class: FGHSM-SMLM33-DFFFFFNN
% 40.07/17.54 # Scheduled 6 strats onto 3 cores with 897 seconds (897 total)
% 40.07/17.54 # Starting SAT001_MinMin_p005000_rr with 485s (1) cores
% 40.07/17.54 # Starting new_bool_3 with 90s (1) cores
% 40.07/17.54 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 40.07/17.54 # SAT001_CA_MinMin_p005000_rr with pid 4107 completed with status 0
% 40.07/17.54 # Result found by SAT001_CA_MinMin_p005000_rr
% 40.07/17.54 # Preprocessing class: FMLLSMLLSSSNFFN.
% 40.07/17.54 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 40.07/17.54 # Starting new_bool_3 with 897s (3) cores
% 40.07/17.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 40.07/17.54 # Search class: FGHSM-SMLM33-DFFFFFNN
% 40.07/17.54 # Scheduled 6 strats onto 3 cores with 897 seconds (897 total)
% 40.07/17.54 # Starting SAT001_MinMin_p005000_rr with 485s (1) cores
% 40.07/17.54 # Starting new_bool_3 with 90s (1) cores
% 40.07/17.54 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 40.07/17.54 # Preprocessing time : 0.192 s
% 40.07/17.54 # Presaturation interreduction done
% 40.07/17.54
% 40.07/17.54 # Proof found!
% 40.07/17.54 # SZS status Theorem
% 40.07/17.54 # SZS output start CNFRefutation
% See solution above
% 40.07/17.54 # Parsed axioms : 19036
% 40.07/17.54 # Removed by relevancy pruning/SinE : 16928
% 40.07/17.54 # Initial clauses : 5077
% 40.07/17.54 # Removed in clause preprocessing : 929
% 40.07/17.54 # Initial clauses in saturation : 4148
% 40.07/17.54 # Processed clauses : 5085
% 40.07/17.54 # ...of these trivial : 304
% 40.07/17.54 # ...subsumed : 1565
% 40.07/17.54 # ...remaining for further processing : 3216
% 40.07/17.54 # Other redundant clauses eliminated : 0
% 40.07/17.54 # Clauses deleted for lack of memory : 0
% 40.07/17.54 # Backward-subsumed : 19
% 40.07/17.54 # Backward-rewritten : 119
% 40.07/17.54 # Generated clauses : 3637
% 40.07/17.54 # ...of the previous two non-redundant : 1396
% 40.07/17.54 # ...aggressively subsumed : 0
% 40.07/17.54 # Contextual simplify-reflections : 21
% 40.07/17.54 # Paramodulations : 3634
% 40.07/17.54 # Factorizations : 2
% 40.07/17.54 # NegExts : 0
% 40.07/17.54 # Equation resolutions : 1
% 40.07/17.54 # Disequality decompositions : 0
% 40.07/17.54 # Total rewrite steps : 10748
% 40.07/17.54 # ...of those cached : 9145
% 40.07/17.54 # Propositional unsat checks : 0
% 40.07/17.54 # Propositional check models : 0
% 40.07/17.54 # Propositional check unsatisfiable : 0
% 40.07/17.54 # Propositional clauses : 0
% 40.07/17.54 # Propositional clauses after purity: 0
% 40.07/17.54 # Propositional unsat core size : 0
% 40.07/17.54 # Propositional preprocessing time : 0.000
% 40.07/17.54 # Propositional encoding time : 0.000
% 40.07/17.54 # Propositional solver time : 0.000
% 40.07/17.54 # Success case prop preproc time : 0.000
% 40.07/17.54 # Success case prop encoding time : 0.000
% 40.07/17.54 # Success case prop solver time : 0.000
% 40.07/17.54 # Current number of processed clauses : 148
% 40.07/17.54 # Positive orientable unit clauses : 99
% 40.07/17.54 # Positive unorientable unit clauses: 1
% 40.07/17.54 # Negative unit clauses : 21
% 40.07/17.54 # Non-unit-clauses : 27
% 40.07/17.54 # Current number of unprocessed clauses: 3310
% 40.07/17.54 # ...number of literals in the above : 10602
% 40.07/17.54 # Current number of archived formulas : 0
% 40.07/17.54 # Current number of archived clauses : 3068
% 40.07/17.54 # Clause-clause subsumption calls (NU) : 3092275
% 40.07/17.54 # Rec. Clause-clause subsumption calls : 235369
% 40.07/17.54 # Non-unit clause-clause subsumptions : 893
% 40.07/17.54 # Unit Clause-clause subsumption calls : 304
% 40.07/17.54 # Rewrite failures with RHS unbound : 104
% 40.07/17.54 # BW rewrite match attempts : 14980
% 40.07/17.54 # BW rewrite match successes : 221
% 40.07/17.54 # Condensation attempts : 8950
% 40.07/17.54 # Condensation successes : 142
% 40.07/17.54 # Termbank termtop insertions : 2433729
% 40.07/17.54 # Search garbage collected termcells : 349063
% 40.07/17.54
% 40.07/17.54 # -------------------------------------------------
% 40.07/17.54 # User time : 3.532 s
% 40.07/17.54 # System time : 0.114 s
% 40.07/17.54 # Total time : 3.646 s
% 40.07/17.54 # Maximum resident set size: 62452 pages
% 40.07/17.54
% 40.07/17.54 # -------------------------------------------------
% 40.07/17.54 # User time : 11.172 s
% 40.07/17.54 # System time : 0.243 s
% 40.07/17.54 # Total time : 11.414 s
% 40.07/17.54 # Maximum resident set size: 51388 pages
% 40.07/17.54 % E---3.1 exiting
% 40.07/17.55 % E exiting
%------------------------------------------------------------------------------