TSTP Solution File: ITP303_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP303_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 08:10:30 EDT 2024
% Result : Theorem 0.35s 0.58s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 41 ( 14 unt; 23 typ; 0 def)
% Number of atoms : 37 ( 15 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 36 ( 17 ~; 11 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 14 ( 8 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(decl_sort2,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).
tff(decl_sort3,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(decl_sort4,type,
'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$': $tType ).
tff(decl_sort5,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(decl_sort6,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$': $tType ).
tff(decl_sort7,type,
'B$': $tType ).
tff(decl_sort8,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$': $tType ).
tff(decl_33,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_40,type,
'fun_app$s': ( 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_58,type,
'fun_app$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(decl_67,type,
'catCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(decl_76,type,
'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' ).
tff(decl_77,type,
'fun_app$r': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(decl_80,type,
'f$': 'B$' ).
tff(decl_116,type,
'set$': 'ZF_ZF_unit_Category_ext$' ).
tff(decl_135,type,
'catDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_169,type,
'nTDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).
tff(decl_192,type,
'functor_abbrev$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(decl_235,type,
'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(decl_251,type,
'nTCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).
tff(decl_314,type,
'yFtorNT$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(decl_362,type,
'nTCatDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(axiom72,axiom,
! [X144: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X145: 'A_b_b_c_LSCategory_ext_Category_ext$',X146: 'ZF_ZF_unit_Category_ext$'] :
( ( 'functor_abbrev$'(X144,X145,X146)
& ( ( 'fun_app$a'('functor$',X144)
& ( 'catDom$'(X144) = X145 )
& ( 'catCod$'(X144) = X146 ) )
=> ~ $true ) )
=> ~ $true ),
file('/export/starexec/sandbox2/tmp/tmp.EKMKhWuxeA/E---3.1_28223.p',axiom72) ).
tff(conjecture27,conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) = 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
file('/export/starexec/sandbox2/tmp/tmp.EKMKhWuxeA/E---3.1_28223.p',conjecture27) ).
tff(axiom32,axiom,
'functor_abbrev$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
file('/export/starexec/sandbox2/tmp/tmp.EKMKhWuxeA/E---3.1_28223.p',axiom32) ).
tff(axiom36,axiom,
! [X64: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'nTCatDom$'(X64) = 'catDom$'('fun_app$r'('nTDom$',X64)) ),
file('/export/starexec/sandbox2/tmp/tmp.EKMKhWuxeA/E---3.1_28223.p',axiom36) ).
tff(axiom37,axiom,
'functor_abbrev$'('fun_app$r'('nTDom$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
file('/export/starexec/sandbox2/tmp/tmp.EKMKhWuxeA/E---3.1_28223.p',axiom37) ).
tff(c_0_5,plain,
! [X1538: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X1539: 'A_b_b_c_LSCategory_ext_Category_ext$',X1540: 'ZF_ZF_unit_Category_ext$'] :
( ( 'fun_app$a'('functor$',X1538)
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| ~ $true )
& ( ( 'catDom$'(X1538) = X1539 )
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| ~ $true )
& ( ( 'catCod$'(X1538) = X1540 )
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| ~ $true )
& ( $true
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| ~ $true ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom72])])])]) ).
tff(c_0_6,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture27])]) ).
tcf(c_0_7,plain,
! [X3: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X26: 'A_b_b_c_LSCategory_ext_Category_ext$',X22: 'ZF_ZF_unit_Category_ext$'] :
( ( 'catDom$'(X3) = X26 )
| ~ 'functor_abbrev$'(X3,X26,X22)
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tff(c_0_8,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
tcf(c_0_9,plain,
! [X3: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X26: 'A_b_b_c_LSCategory_ext_Category_ext$',X22: 'ZF_ZF_unit_Category_ext$'] :
( ( 'catDom$'(X3) = X26 )
| ~ 'functor_abbrev$'(X3,X26,X22) ),
inference(cn,[status(thm)],[c_0_7]) ).
tcf(c_0_10,plain,
'functor_abbrev$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
inference(split_conjunct,[status(thm)],[axiom32]) ).
tff(c_0_11,plain,
! [X1475: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'nTCatDom$'(X1475) = 'catDom$'('fun_app$r'('nTDom$',X1475)) ),
inference(variable_rename,[status(thm)],[axiom36]) ).
tcf(c_0_12,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))) = 'fun_app$s'('oppositeCategory$','c$'),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
tcf(c_0_14,plain,
'functor_abbrev$'('fun_app$r'('nTDom$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
inference(split_conjunct,[status(thm)],[axiom37]) ).
tcf(c_0_15,plain,
! [X35: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : 'nTCatDom$'(X35) = 'catDom$'('fun_app$r'('nTDom$',X35)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_16,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'fun_app$s'('oppositeCategory$','c$'),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_14]),c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ITP303_1 : TPTP v8.1.2. Released v8.0.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n010.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 : Fri May 3 11:52:33 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.51 Running first-order model finding
% 0.15/0.51 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.EKMKhWuxeA/E---3.1_28223.p
% 0.35/0.58 # Version: 3.1.0
% 0.35/0.58 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.35/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.35/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.35/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.35/0.58 # Starting sh5l with 300s (1) cores
% 0.35/0.58 # new_bool_3 with pid 28303 completed with status 0
% 0.35/0.58 # Result found by new_bool_3
% 0.35/0.58 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.35/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.35/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.35/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.58 # Search class: FGUSM-FSLM31-MFFFFFNN
% 0.35/0.58 # partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.35/0.58 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 0.35/0.58 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 28306 completed with status 0
% 0.35/0.58 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.35/0.58 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.35/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.58 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.35/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.35/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/0.58 # Search class: FGUSM-FSLM31-MFFFFFNN
% 0.35/0.58 # partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.35/0.58 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.35/0.58 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 0.35/0.58 # Preprocessing time : 0.004 s
% 0.35/0.58 # Presaturation interreduction done
% 0.35/0.58
% 0.35/0.58 # Proof found!
% 0.35/0.58 # SZS status Theorem
% 0.35/0.58 # SZS output start CNFRefutation
% See solution above
% 0.35/0.59 # Parsed axioms : 1027
% 0.35/0.59 # Removed by relevancy pruning/SinE : 934
% 0.35/0.59 # Initial clauses : 148
% 0.35/0.59 # Removed in clause preprocessing : 6
% 0.35/0.59 # Initial clauses in saturation : 142
% 0.35/0.59 # Processed clauses : 182
% 0.35/0.59 # ...of these trivial : 0
% 0.35/0.59 # ...subsumed : 32
% 0.35/0.59 # ...remaining for further processing : 150
% 0.35/0.59 # Other redundant clauses eliminated : 10
% 0.35/0.59 # Clauses deleted for lack of memory : 0
% 0.35/0.59 # Backward-subsumed : 0
% 0.35/0.59 # Backward-rewritten : 1
% 0.35/0.59 # Generated clauses : 16
% 0.35/0.59 # ...of the previous two non-redundant : 11
% 0.35/0.59 # ...aggressively subsumed : 0
% 0.35/0.59 # Contextual simplify-reflections : 0
% 0.35/0.59 # Paramodulations : 11
% 0.35/0.59 # Factorizations : 0
% 0.35/0.59 # NegExts : 0
% 0.35/0.59 # Equation resolutions : 10
% 0.35/0.59 # Disequality decompositions : 0
% 0.35/0.59 # Total rewrite steps : 9
% 0.35/0.59 # ...of those cached : 0
% 0.35/0.59 # Propositional unsat checks : 0
% 0.35/0.59 # Propositional check models : 0
% 0.35/0.59 # Propositional check unsatisfiable : 0
% 0.35/0.59 # Propositional clauses : 0
% 0.35/0.59 # Propositional clauses after purity: 0
% 0.35/0.59 # Propositional unsat core size : 0
% 0.35/0.59 # Propositional preprocessing time : 0.000
% 0.35/0.59 # Propositional encoding time : 0.000
% 0.35/0.59 # Propositional solver time : 0.000
% 0.35/0.59 # Success case prop preproc time : 0.000
% 0.35/0.59 # Success case prop encoding time : 0.000
% 0.35/0.59 # Success case prop solver time : 0.000
% 0.35/0.59 # Current number of processed clauses : 34
% 0.35/0.59 # Positive orientable unit clauses : 17
% 0.35/0.59 # Positive unorientable unit clauses: 0
% 0.35/0.59 # Negative unit clauses : 1
% 0.35/0.59 # Non-unit-clauses : 16
% 0.35/0.59 # Current number of unprocessed clauses: 80
% 0.35/0.59 # ...number of literals in the above : 276
% 0.35/0.59 # Current number of archived formulas : 0
% 0.35/0.59 # Current number of archived clauses : 111
% 0.35/0.59 # Clause-clause subsumption calls (NU) : 2731
% 0.35/0.59 # Rec. Clause-clause subsumption calls : 1382
% 0.35/0.59 # Non-unit clause-clause subsumptions : 32
% 0.35/0.59 # Unit Clause-clause subsumption calls : 62
% 0.35/0.59 # Rewrite failures with RHS unbound : 0
% 0.35/0.59 # BW rewrite match attempts : 1
% 0.35/0.59 # BW rewrite match successes : 1
% 0.35/0.59 # Condensation attempts : 0
% 0.35/0.59 # Condensation successes : 0
% 0.35/0.59 # Termbank termtop insertions : 25073
% 0.35/0.59 # Search garbage collected termcells : 10258
% 0.35/0.59
% 0.35/0.59 # -------------------------------------------------
% 0.35/0.59 # User time : 0.023 s
% 0.35/0.59 # System time : 0.007 s
% 0.35/0.59 # Total time : 0.030 s
% 0.35/0.59 # Maximum resident set size: 4592 pages
% 0.35/0.59
% 0.35/0.59 # -------------------------------------------------
% 0.35/0.59 # User time : 0.059 s
% 0.35/0.59 # System time : 0.012 s
% 0.35/0.59 # Total time : 0.071 s
% 0.35/0.59 # Maximum resident set size: 3784 pages
% 0.35/0.59 % E---3.1 exiting
%------------------------------------------------------------------------------