TSTP Solution File: ITP020+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 08:06:34 EDT 2024
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 26 ( 2 sgn 15 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
file('/export/starexec/sandbox2/tmp/tmp.hK3kngpPuj/E---3.1_27751.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).
fof(thm_2Epred__set_2EBIJ__SYM,axiom,
! [X1,X2,X28,X29] :
( ? [X30] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X30),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X28),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X29))))
<=> ? [X31] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),X31),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X29),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X28)))) ),
file('/export/starexec/sandbox2/tmp/tmp.hK3kngpPuj/E---3.1_27751.p',thm_2Epred__set_2EBIJ__SYM) ).
fof(thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),X3),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
file('/export/starexec/sandbox2/tmp/tmp.hK3kngpPuj/E---3.1_27751.p',thm_2Eutil__prob_2ENUM__2D__BIJ) ).
fof(c_0_3,negated_conjecture,
~ ? [X3] : p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X3),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(assume_negation,[status(cth)],[thm_2Eutil__prob_2ENUM__2D__BIJ__INV]) ).
fof(c_0_4,plain,
! [X63,X64,X65,X66,X67,X69,X70,X71,X72,X73] :
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X63,X64),X67),s(tyop_2Emin_2Efun(X63,tyop_2Emin_2Ebool),X65),s(tyop_2Emin_2Efun(X64,tyop_2Emin_2Ebool),X66))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X64,X63),esk1_4(X63,X64,X65,X66)),s(tyop_2Emin_2Efun(X64,tyop_2Emin_2Ebool),X66),s(tyop_2Emin_2Efun(X63,tyop_2Emin_2Ebool),X65)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X70,X69),X73),s(tyop_2Emin_2Efun(X70,tyop_2Emin_2Ebool),X72),s(tyop_2Emin_2Efun(X69,tyop_2Emin_2Ebool),X71))))
| p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X69,X70),esk2_4(X69,X70,X71,X72)),s(tyop_2Emin_2Efun(X69,tyop_2Emin_2Ebool),X71),s(tyop_2Emin_2Efun(X70,tyop_2Emin_2Ebool),X72)))) ) ),
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_2Epred__set_2EBIJ__SYM])])])])])]) ).
fof(c_0_5,plain,
p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk3_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[thm_2Eutil__prob_2ENUM__2D__BIJ])]) ).
fof(c_0_6,negated_conjecture,
! [X39] : ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X39),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),esk1_4(X1,X2,X4,X5)),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk3_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP020+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri May 3 13:13:21 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.48 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.hK3kngpPuj/E---3.1_27751.p
% 0.19/0.52 # Version: 3.1.0
% 0.19/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.52 # Starting sh5l with 300s (1) cores
% 0.19/0.52 # new_bool_3 with pid 27889 completed with status 0
% 0.19/0.52 # Result found by new_bool_3
% 0.19/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.52 # Search class: FGUSM-FFLF32-DFFFFFNN
% 0.19/0.52 # partial match(2): FGUSM-FSLM32-DFFFFFNN
% 0.19/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.52 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 27900 completed with status 0
% 0.19/0.52 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.52 # Search class: FGUSM-FFLF32-DFFFFFNN
% 0.19/0.52 # partial match(2): FGUSM-FSLM32-DFFFFFNN
% 0.19/0.52 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.52 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.52 # Preprocessing time : 0.003 s
% 0.19/0.52 # Presaturation interreduction done
% 0.19/0.52
% 0.19/0.52 # Proof found!
% 0.19/0.52 # SZS status Theorem
% 0.19/0.52 # SZS output start CNFRefutation
% See solution above
% 0.19/0.52 # Parsed axioms : 59
% 0.19/0.52 # Removed by relevancy pruning/SinE : 31
% 0.19/0.52 # Initial clauses : 245
% 0.19/0.52 # Removed in clause preprocessing : 190
% 0.19/0.52 # Initial clauses in saturation : 55
% 0.19/0.52 # Processed clauses : 154
% 0.19/0.52 # ...of these trivial : 2
% 0.19/0.52 # ...subsumed : 61
% 0.19/0.52 # ...remaining for further processing : 91
% 0.19/0.52 # Other redundant clauses eliminated : 0
% 0.19/0.52 # Clauses deleted for lack of memory : 0
% 0.19/0.52 # Backward-subsumed : 0
% 0.19/0.52 # Backward-rewritten : 2
% 0.19/0.52 # Generated clauses : 714
% 0.19/0.52 # ...of the previous two non-redundant : 549
% 0.19/0.52 # ...aggressively subsumed : 0
% 0.19/0.52 # Contextual simplify-reflections : 0
% 0.19/0.52 # Paramodulations : 710
% 0.19/0.52 # Factorizations : 2
% 0.19/0.52 # NegExts : 0
% 0.19/0.52 # Equation resolutions : 2
% 0.19/0.52 # Disequality decompositions : 0
% 0.19/0.52 # Total rewrite steps : 34
% 0.19/0.52 # ...of those cached : 19
% 0.19/0.52 # Propositional unsat checks : 0
% 0.19/0.52 # Propositional check models : 0
% 0.19/0.52 # Propositional check unsatisfiable : 0
% 0.19/0.52 # Propositional clauses : 0
% 0.19/0.52 # Propositional clauses after purity: 0
% 0.19/0.52 # Propositional unsat core size : 0
% 0.19/0.52 # Propositional preprocessing time : 0.000
% 0.19/0.52 # Propositional encoding time : 0.000
% 0.19/0.52 # Propositional solver time : 0.000
% 0.19/0.52 # Success case prop preproc time : 0.000
% 0.19/0.52 # Success case prop encoding time : 0.000
% 0.19/0.52 # Success case prop solver time : 0.000
% 0.19/0.52 # Current number of processed clauses : 49
% 0.19/0.52 # Positive orientable unit clauses : 2
% 0.19/0.52 # Positive unorientable unit clauses: 0
% 0.19/0.52 # Negative unit clauses : 1
% 0.19/0.52 # Non-unit-clauses : 46
% 0.19/0.52 # Current number of unprocessed clauses: 482
% 0.19/0.52 # ...number of literals in the above : 2299
% 0.19/0.52 # Current number of archived formulas : 0
% 0.19/0.52 # Current number of archived clauses : 42
% 0.19/0.52 # Clause-clause subsumption calls (NU) : 999
% 0.19/0.52 # Rec. Clause-clause subsumption calls : 835
% 0.19/0.52 # Non-unit clause-clause subsumptions : 56
% 0.19/0.52 # Unit Clause-clause subsumption calls : 0
% 0.19/0.52 # Rewrite failures with RHS unbound : 0
% 0.19/0.52 # BW rewrite match attempts : 69
% 0.19/0.52 # BW rewrite match successes : 2
% 0.19/0.52 # Condensation attempts : 0
% 0.19/0.52 # Condensation successes : 0
% 0.19/0.52 # Termbank termtop insertions : 40144
% 0.19/0.52 # Search garbage collected termcells : 2689
% 0.19/0.52
% 0.19/0.52 # -------------------------------------------------
% 0.19/0.52 # User time : 0.023 s
% 0.19/0.52 # System time : 0.004 s
% 0.19/0.52 # Total time : 0.028 s
% 0.19/0.52 # Maximum resident set size: 2452 pages
% 0.19/0.52
% 0.19/0.52 # -------------------------------------------------
% 0.19/0.52 # User time : 0.028 s
% 0.19/0.52 # System time : 0.006 s
% 0.19/0.52 # Total time : 0.034 s
% 0.19/0.52 # Maximum resident set size: 1832 pages
% 0.19/0.52 % E---3.1 exiting
% 0.19/0.52 % E exiting
%------------------------------------------------------------------------------