%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP019_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:53:47 PM UTC 2026
% Result : Theorem 0.07s 8.17s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 0 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
mono_2Etyop_2Enum_2Enum: $tType ).
tff(decl_sort2,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
tff(decl_229,type,
mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).
tff(decl_11584,type,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(decl_11590,type,
mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(decl_11602,type,
esk1_0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X58134: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X58134 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
=> ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58134) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(thm_2Ecomplex_2ECOMPLEX__INV__INV,axiom,
! [X58131: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58131)) = X58131 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__INV) ).
tff(thm_2Ecomplex_2ECOMPLEX__INV__0,axiom,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecomplex_2ECOMPLEX__INV__0) ).
tff(c_0_3,negated_conjecture,
~ ! [X58134: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X58134 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
=> ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58134) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
inference(assume_negation,[status(cth)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
tff(c_0_4,negated_conjecture,
~ ! [X58134: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
( ( X58134 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
=> ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58134) != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
! [X58173: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X58173)) = X58173 ),
inference(variable_rename,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__INV]) ).
tff(c_0_6,negated_conjecture,
( ( mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(esk1_0) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0) )
& ( esk1_0 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_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])])])]) ).
tcf(c_0_7,plain,
! [X49478: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(X49478)) = X49478,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,negated_conjecture,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(esk1_0) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_9,plain,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
inference(split_conjunct,[status(thm)],[thm_2Ecomplex_2ECOMPLEX__INV__0]) ).
tcf(c_0_10,negated_conjecture,
mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = esk1_0,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
tcf(c_0_11,negated_conjecture,
esk1_0 != mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP019_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 20 21:51:27 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.07/8.17 % Version: 3.5.1
% 0.07/8.17 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.07/8.17 % Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 0.07/8.17 % Starting new_bool_3 with 879s (3) cores
% 0.07/8.17 % Starting new_bool_1 with 879s (3) cores
% 0.07/8.17 % Starting sh5l with 293s (1) cores
% 0.07/8.17 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 293s (1) cores
% 0.07/8.17 % new_bool_1 with pid 906928 completed with status 0
% 0.07/8.17 % Result found by new_bool_1
% 0.07/8.17 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.07/8.17 % Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 0.07/8.17 % Starting new_bool_3 with 879s (3) cores
% 0.07/8.17 % Starting new_bool_1 with 879s (3) cores
% 0.07/8.17 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/8.17 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/8.17 % Search class: FGUPM-FFMM21-MFFFFFNN
% 0.07/8.17 % partial match(1): FGUNM-FFMM21-MFFFFFNN
% 0.07/8.17 % Scheduled 5 strats onto 3 cores with 879 seconds (879 total)
% 0.07/8.17 % Starting SubtermCWHack with 88s (1) cores
% 0.07/8.17 % Starting SAT001_MinMin_p005000_rr_RG with 528s (1) cores
% 0.07/8.17 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 88s (1) cores
% 0.07/8.17 % SubtermCWHack with pid 906935 completed with status 0
% 0.07/8.17 % Result found by SubtermCWHack
% 0.07/8.17 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.07/8.17 % Scheduled 4 strats onto 8 cores with 293 seconds (2344 total)
% 0.07/8.17 % Starting new_bool_3 with 879s (3) cores
% 0.07/8.17 % Starting new_bool_1 with 879s (3) cores
% 0.07/8.17 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/8.17 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/8.17 % Search class: FGUPM-FFMM21-MFFFFFNN
% 0.07/8.17 % partial match(1): FGUNM-FFMM21-MFFFFFNN
% 0.07/8.17 % Scheduled 5 strats onto 3 cores with 879 seconds (879 total)
% 0.07/8.17 % Starting SubtermCWHack with 88s (1) cores
% 0.07/8.17 % Preprocessing time : 0.048 s
% 0.07/8.17
% 0.07/8.17 % Proof found!
% 0.07/8.17 % SZS status Theorem
% 0.07/8.17 % SZS output start CNFRefutation
% See solution above
% 0.07/8.18 % Parsed axioms : 71028
% 0.07/8.18 % Removed by relevancy pruning/SinE : 70951
% 0.07/8.18 % Initial clauses : 98
% 0.07/8.18 % Removed in clause preprocessing : 6
% 0.07/8.18 % Initial clauses in saturation : 92
% 0.07/8.18 % Processed clauses : 10
% 0.07/8.18 % ...of these trivial : 0
% 0.07/8.18 % ...subsumed : 0
% 0.07/8.18 % ...remaining for further processing : 9
% 0.07/8.18 % Other redundant clauses eliminated : 0
% 0.07/8.18 % Clauses deleted for lack of memory : 0
% 0.07/8.18 % Backward-subsumed : 0
% 0.07/8.18 % Backward-rewritten : 1
% 0.07/8.18 % Generated clauses : 2
% 0.07/8.18 % ...of the previous two non-redundant : 1
% 0.07/8.18 % ...aggressively subsumed : 0
% 0.07/8.18 % Contextual simplify-reflections : 0
% 0.07/8.18 % Paramodulations : 2
% 0.07/8.18 % Factorizations : 0
% 0.07/8.18 % NegExts : 0
% 0.07/8.18 % Equation resolutions : 0
% 0.07/8.18 % Disequality decompositions : 0
% 0.07/8.18 % Total rewrite steps : 4
% 0.07/8.18 % ...of those cached : 0
% 0.07/8.18 % Propositional unsat checks : 0
% 0.07/8.18 % Propositional check models : 0
% 0.07/8.18 % Propositional check unsatisfiable : 0
% 0.07/8.18 % Propositional clauses : 0
% 0.07/8.18 % Propositional clauses after purity: 0
% 0.07/8.18 % Propositional unsat core size : 0
% 0.07/8.18 % Propositional preprocessing time : 0.000
% 0.07/8.18 % Propositional encoding time : 0.000
% 0.07/8.18 % Propositional solver time : 0.000
% 0.07/8.18 % Success case prop preproc time : 0.000
% 0.07/8.18 % Success case prop encoding time : 0.000
% 0.07/8.18 % Success case prop solver time : 0.000
% 0.07/8.18 % Current number of processed clauses : 8
% 0.07/8.18 % Positive orientable unit clauses : 6
% 0.07/8.18 % Positive unorientable unit clauses: 0
% 0.07/8.18 % Negative unit clauses : 2
% 0.07/8.18 % Non-unit-clauses : 0
% 0.07/8.18 % Current number of unprocessed clauses: 83
% 0.07/8.18 % ...number of literals in the above : 130
% 0.07/8.18 % Current number of archived formulas : 0
% 0.07/8.18 % Current number of archived clauses : 1
% 0.07/8.18 % Clause-clause subsumption calls (NU) : 0
% 0.07/8.18 % Rec. Clause-clause subsumption calls : 0
% 0.07/8.18 % Non-unit clause-clause subsumptions : 0
% 0.07/8.18 % Unit Clause-clause subsumption calls : 1
% 0.07/8.18 % Rewrite failures with RHS unbound : 0
% 0.07/8.18 % BW rewrite match attempts : 1
% 0.07/8.18 % BW rewrite match successes : 1
% 0.07/8.18 % Condensation attempts : 0
% 0.07/8.18 % Condensation successes : 0
% 0.07/8.18 % Termbank termtop insertions : 1327372
% 0.07/8.18 % Search garbage collected termcells : 510719
% 0.07/8.18
% 0.07/8.18 % -------------------------------------------------
% 0.07/8.18 % User time : 0.343 s
% 0.07/8.18 % System time : 0.210 s
% 0.07/8.18 % Total time : 0.553 s
% 0.07/8.18 % Maximum resident set size: 136416 pages
% 0.07/8.18
% 0.07/8.18 % -------------------------------------------------
% 0.07/8.18 % User time : 7.495 s
% 0.07/8.18 % System time : 0.509 s
% 0.07/8.18 % Total time : 8.004 s
% 0.07/8.18 % Maximum resident set size: 116600 pages
% 0.07/8.18 % E exiting
%------------------------------------------------------------------------------