%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP302_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 : n005.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 12:55:22 PM UTC 2026
% Result : Theorem 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 6 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'B_set$': $tType ).
tff(decl_sort2,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(decl_sort3,type,
'A_set$': $tType ).
tff(decl_sort4,type,
'A$': $tType ).
tff(decl_sort5,type,
'B$': $tType ).
tff(decl_sort6,type,
'B_a_fun$': $tType ).
tff(decl_sort7,type,
'A_set_bool_fun$': $tType ).
tff(decl_sort8,type,
'B_set_bool_fun$': $tType ).
tff(decl_37,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(decl_64,type,
'fun_app$bk': ( 'B$' * 'B_a_fun$' ) > 'A$' ).
tff(decl_69,type,
'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(decl_71,type,
'member$c': 'A$' > 'A_set_bool_fun$' ).
tff(decl_103,type,
'f$': 'B$' ).
tff(decl_135,type,
'category$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(decl_270,type,
'obj$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).
tff(decl_426,type,
'member$b': 'B$' > 'B_set_bool_fun$' ).
tff(decl_448,type,
'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).
tff(decl_569,type,
'fun_app$m': ( 'B_set$' * 'B_set_bool_fun$' ) > $o ).
tff(decl_590,type,
'fun_app$p': ( 'A_set$' * 'A_set_bool_fun$' ) > $o ).
tff(decl_634,type,
'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$' ).
tff(conjecture185,conjecture,
'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture185) ).
tff(axiom212,axiom,
! [X521: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( 'lSCategory$'(X521)
=> 'category$'(X521) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom212) ).
tff(axiom203,axiom,
! [X473: 'A_b_b_c_LSCategory_ext_Category_ext$',X474: 'B$'] :
( ( 'fun_app$m'('member$b'(X474),'mor$'(X473))
& 'category$'(X473) )
=> 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X473),X474)),'obj$'(X473)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom203) ).
tff(axiom186,axiom,
'lSCategory$'('c$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom186) ).
tff(axiom187,axiom,
'fun_app$m'('member$b'('f$'),'mor$'('c$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom187) ).
tff(c_0_5,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(assume_negation,[status(cth)],[conjecture185]) ).
tff(c_0_6,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
tff(c_0_7,plain,
! [X2131: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( 'category$'(X2131)
| ~ 'lSCategory$'(X2131) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom212])])]) ).
tff(c_0_8,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
tff(c_0_9,plain,
! [X2127: 'A_b_b_c_LSCategory_ext_Category_ext$',X2128: 'B$'] :
( 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X2127),X2128)),'obj$'(X2127))
| ~ 'fun_app$m'('member$b'(X2128),'mor$'(X2127))
| ~ 'category$'(X2127) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom203])])]) ).
tcf(c_0_10,plain,
! [X73: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( ~ 'lSCategory$'(X73)
| 'category$'(X73) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
'lSCategory$'('c$'),
inference(split_conjunct,[status(thm)],[axiom186]) ).
tcf(c_0_12,negated_conjecture,
~ 'fun_app$p'('member$c'('fun_app$bk'('dom$'('c$'),'f$')),'obj$'('c$')),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
! [X10: 'B$',X73: 'A_b_b_c_LSCategory_ext_Category_ext$'] :
( ~ 'fun_app$m'('member$b'(X10),'mor$'(X73))
| ~ 'category$'(X73)
| 'fun_app$p'('member$c'('fun_app$bk'('dom$'(X73),X10)),'obj$'(X73)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_14,plain,
'fun_app$m'('member$b'('f$'),'mor$'('c$')),
inference(split_conjunct,[status(thm)],[axiom187]) ).
tcf(c_0_15,plain,
'category$'('c$'),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP302_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 22:33:19 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 0.15/0.49 % Version: 3.5.1
% 0.15/0.49 % partial match(1): FMLMSMSMSSSNFFN
% 0.15/0.49 % Preprocessing class: FMLMSMLMSSSNFFN.
% 0.15/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.49 % Starting sh5l with 300s (1) cores
% 0.15/0.49 % new_bool_1 with pid 1896039 completed with status 0
% 0.15/0.49 % Result found by new_bool_1
% 0.15/0.49 % partial match(1): FMLMSMSMSSSNFFN
% 0.15/0.49 % Preprocessing class: FMLMSMLMSSSNFFN.
% 0.15/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 % Search class: FHUNF-FFSF21-MFFFFFNN
% 0.15/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.49 % SubtermCWHack with pid 1896047 completed with status 0
% 0.15/0.49 % Result found by SubtermCWHack
% 0.15/0.49 % partial match(1): FMLMSMSMSSSNFFN
% 0.15/0.49 % Preprocessing class: FMLMSMLMSSSNFFN.
% 0.15/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 % Search class: FHUNF-FFSF21-MFFFFFNN
% 0.15/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.49 % Preprocessing time : 0.006 s
% 0.15/0.49
% 0.15/0.49 % Proof found!
% 0.15/0.49 % SZS status Theorem
% 0.15/0.49 % SZS output start CNFRefutation
% See solution above
% 0.15/0.49 % Parsed axioms : 1618
% 0.15/0.49 % Removed by relevancy pruning/SinE : 1612
% 0.15/0.49 % Initial clauses : 6
% 0.15/0.49 % Removed in clause preprocessing : 0
% 0.15/0.49 % Initial clauses in saturation : 6
% 0.15/0.49 % Processed clauses : 7
% 0.15/0.49 % ...of these trivial : 0
% 0.15/0.49 % ...subsumed : 0
% 0.15/0.49 % ...remaining for further processing : 7
% 0.15/0.49 % Other redundant clauses eliminated : 0
% 0.15/0.49 % Clauses deleted for lack of memory : 0
% 0.15/0.49 % Backward-subsumed : 0
% 0.15/0.49 % Backward-rewritten : 0
% 0.15/0.49 % Generated clauses : 2
% 0.15/0.49 % ...of the previous two non-redundant : 1
% 0.15/0.49 % ...aggressively subsumed : 0
% 0.15/0.49 % Contextual simplify-reflections : 0
% 0.15/0.49 % Paramodulations : 2
% 0.15/0.49 % Factorizations : 0
% 0.15/0.49 % NegExts : 0
% 0.15/0.49 % Equation resolutions : 0
% 0.15/0.49 % Disequality decompositions : 0
% 0.15/0.49 % Total rewrite steps : 2
% 0.15/0.49 % ...of those cached : 0
% 0.15/0.49 % Propositional unsat checks : 0
% 0.15/0.49 % Propositional check models : 0
% 0.15/0.49 % Propositional check unsatisfiable : 0
% 0.15/0.49 % Propositional clauses : 0
% 0.15/0.49 % Propositional clauses after purity: 0
% 0.15/0.49 % Propositional unsat core size : 0
% 0.15/0.49 % Propositional preprocessing time : 0.000
% 0.15/0.49 % Propositional encoding time : 0.000
% 0.15/0.49 % Propositional solver time : 0.000
% 0.15/0.49 % Success case prop preproc time : 0.000
% 0.15/0.49 % Success case prop encoding time : 0.000
% 0.15/0.49 % Success case prop solver time : 0.000
% 0.15/0.49 % Current number of processed clauses : 7
% 0.15/0.49 % Positive orientable unit clauses : 3
% 0.15/0.49 % Positive unorientable unit clauses: 0
% 0.15/0.49 % Negative unit clauses : 1
% 0.15/0.49 % Non-unit-clauses : 3
% 0.15/0.49 % Current number of unprocessed clauses: 0
% 0.15/0.49 % ...number of literals in the above : 0
% 0.15/0.49 % Current number of archived formulas : 0
% 0.15/0.49 % Current number of archived clauses : 0
% 0.15/0.49 % Clause-clause subsumption calls (NU) : 2
% 0.15/0.49 % Rec. Clause-clause subsumption calls : 2
% 0.15/0.49 % Non-unit clause-clause subsumptions : 0
% 0.15/0.49 % Unit Clause-clause subsumption calls : 0
% 0.15/0.49 % Rewrite failures with RHS unbound : 0
% 0.15/0.49 % BW rewrite match attempts : 0
% 0.15/0.49 % BW rewrite match successes : 0
% 0.15/0.49 % Condensation attempts : 0
% 0.15/0.49 % Condensation successes : 0
% 0.15/0.49 % Termbank termtop insertions : 13913
% 0.15/0.49 % Search garbage collected termcells : 11440
% 0.15/0.49
% 0.15/0.49 % -------------------------------------------------
% 0.15/0.49 % User time : 0.013 s
% 0.15/0.49 % System time : 0.011 s
% 0.15/0.49 % Total time : 0.024 s
% 0.15/0.49 % Maximum resident set size: 7552 pages
% 0.15/0.49
% 0.15/0.49 % -------------------------------------------------
% 0.15/0.49 % User time : 0.042 s
% 0.15/0.49 % System time : 0.014 s
% 0.15/0.49 % Total time : 0.056 s
% 0.15/0.49 % Maximum resident set size: 7680 pages
% 0.15/0.49 % E exiting
%------------------------------------------------------------------------------