%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP303_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:55:23 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 16 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 : 0 ( 0 >; 0 *; 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$': $tType ).
tff(decl_sort2,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).
tff(decl_sort3,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(decl_sort4,type,
'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$': $tType ).
tff(decl_sort5,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(decl_sort6,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$': $tType ).
tff(decl_sort7,type,
'B$': $tType ).
tff(decl_sort8,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$': $tType ).
tff(decl_34,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_41,type,
'fun_app$s': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_59,type,
'fun_app$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ) > $o ).
tff(decl_68,type,
'catCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(decl_77,type,
'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$' ).
tff(decl_78,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_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(decl_81,type,
'f$': 'B$' ).
tff(decl_117,type,
'set$': 'ZF_ZF_unit_Category_ext$' ).
tff(decl_136,type,
'catDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_170,type,
'nTDom$': '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$' ).
tff(decl_193,type,
'functor_abbrev$': ( 'ZF_ZF_unit_Category_ext$' * ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) ) > $o ).
tff(decl_236,type,
'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(decl_252,type,
'nTCod$': '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$' ).
tff(decl_315,type,
'yFtorNT$': ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(decl_363,type,
'nTCatDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(conjecture27,conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) = 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture27) ).
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$'] :
( ( ( ( ( 'catCod$'(X144) = X146 )
& ( 'catDom$'(X144) = X145 )
& 'fun_app$a'('functor$',X144) )
=> ~ $true )
& 'functor_abbrev$'(X144,X145,X146) )
=> ~ $true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom72) ).
tff(axiom36,axiom,
! [X64: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'nTCatDom$'(X64) = 'catDom$'('fun_app$r'('nTDom$',X64)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom36) ).
tff(axiom37,axiom,
'functor_abbrev$'('fun_app$r'('nTDom$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom37) ).
tff(axiom32,axiom,
'functor_abbrev$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32) ).
tff(c_0_5,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(assume_negation,[status(cth)],[conjecture27]) ).
tff(c_0_6,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$'] :
( ( ~ $true
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| $true )
& ( ~ $true
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| ( 'catCod$'(X1538) = X1540 ) )
& ( ~ $true
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| ( 'catDom$'(X1538) = X1539 ) )
& ( ~ $true
| ~ 'functor_abbrev$'(X1538,X1539,X1540)
| 'fun_app$a'('functor$',X1538) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom72])])])]) ).
tff(c_0_7,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
tcf(c_0_8,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$'] :
( ~ $true
| ~ 'functor_abbrev$'(X3,X26,X22)
| ( 'catDom$'(X3) = X26 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tff(c_0_9,plain,
! [X1475: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : ( 'nTCatDom$'(X1475) = 'catDom$'('fun_app$r'('nTDom$',X1475)) ),
inference(variable_rename,[status(thm)],[axiom36]) ).
tff(c_0_10,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
tcf(c_0_11,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$'] :
( ~ 'functor_abbrev$'(X3,X26,X22)
| ( 'catDom$'(X3) = X26 ) ),
inference(cn,[status(thm)],[c_0_8]) ).
tcf(c_0_12,plain,
'functor_abbrev$'('fun_app$r'('nTDom$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
inference(split_conjunct,[status(thm)],[axiom37]) ).
tcf(c_0_13,plain,
! [X35: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$'] : 'nTCatDom$'(X35) = 'catDom$'('fun_app$r'('nTDom$',X35)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_14,plain,
'functor_abbrev$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$')),'fun_app$s'('oppositeCategory$','c$'),'set$'),
inference(split_conjunct,[status(thm)],[axiom32]) ).
tcf(c_0_15,negated_conjecture,
'nTCatDom$'('yFtorNT$'('c$','f$')) != 'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_16,plain,
'nTCatDom$'('yFtorNT$'('c$','f$')) = 'fun_app$s'('oppositeCategory$','c$'),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
tcf(c_0_17,plain,
'catDom$'('fun_app$r'('nTCod$','yFtorNT$'('c$','f$'))) = 'fun_app$s'('oppositeCategory$','c$'),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP303_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:38:59 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.19/0.49 % Version: 3.5.1
% 0.19/0.49 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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_1 with pid 1556216 completed with status 0
% 0.19/0.49 % Result found by new_bool_1
% 0.19/0.49 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 % Search class: FGUSM-FSLM31-MFFFFFNN
% 0.19/0.49 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.19/0.49 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.49 % SubtermCWHack with pid 1556221 completed with status 0
% 0.19/0.49 % Result found by SubtermCWHack
% 0.19/0.49 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 % Search class: FGUSM-FSLM31-MFFFFFNN
% 0.19/0.49 % partial match(1): FGHSM-FSLM31-MFFFFFNN
% 0.19/0.49 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.49 % Preprocessing time : 0.005 s
% 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 : 1027
% 0.19/0.49 % Removed by relevancy pruning/SinE : 934
% 0.19/0.49 % Initial clauses : 148
% 0.19/0.49 % Removed in clause preprocessing : 6
% 0.19/0.49 % Initial clauses in saturation : 142
% 0.19/0.49 % Processed clauses : 58
% 0.19/0.49 % ...of these trivial : 0
% 0.19/0.49 % ...subsumed : 18
% 0.19/0.49 % ...remaining for further processing : 39
% 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 : 0
% 0.19/0.49 % Backward-rewritten : 0
% 0.19/0.49 % Generated clauses : 13
% 0.19/0.49 % ...of the previous two non-redundant : 7
% 0.19/0.49 % ...aggressively subsumed : 0
% 0.19/0.49 % Contextual simplify-reflections : 0
% 0.19/0.49 % Paramodulations : 13
% 0.19/0.49 % Factorizations : 0
% 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 : 9
% 0.19/0.49 % ...of those cached : 1
% 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 : 39
% 0.19/0.49 % Positive orientable unit clauses : 19
% 0.19/0.49 % Positive unorientable unit clauses: 0
% 0.19/0.49 % Negative unit clauses : 0
% 0.19/0.49 % Non-unit-clauses : 20
% 0.19/0.49 % Current number of unprocessed clauses: 91
% 0.19/0.49 % ...number of literals in the above : 318
% 0.19/0.49 % Current number of archived formulas : 0
% 0.19/0.49 % Current number of archived clauses : 0
% 0.19/0.49 % Clause-clause subsumption calls (NU) : 160
% 0.19/0.49 % Rec. Clause-clause subsumption calls : 152
% 0.19/0.49 % Non-unit clause-clause subsumptions : 18
% 0.19/0.49 % Unit Clause-clause subsumption calls : 9
% 0.19/0.49 % Rewrite failures with RHS unbound : 0
% 0.19/0.49 % BW rewrite match attempts : 0
% 0.19/0.49 % BW rewrite match successes : 0
% 0.19/0.49 % Condensation attempts : 0
% 0.19/0.49 % Condensation successes : 0
% 0.19/0.49 % Termbank termtop insertions : 23476
% 0.19/0.49 % Search garbage collected termcells : 10256
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.014 s
% 0.19/0.49 % System time : 0.008 s
% 0.19/0.49 % Total time : 0.022 s
% 0.19/0.49 % Maximum resident set size: 6484 pages
% 0.19/0.49
% 0.19/0.49 % -------------------------------------------------
% 0.19/0.49 % User time : 0.058 s
% 0.19/0.49 % System time : 0.013 s
% 0.19/0.49 % Total time : 0.071 s
% 0.19/0.49 % Maximum resident set size: 6912 pages
% 0.19/0.49 % E exiting
%------------------------------------------------------------------------------