%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP019_5 : 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 12:53:48 PM UTC 2026
% Result : Theorem 4.65s 3.27s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 3 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 3 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
tp__ty_2Enum_2Enum: $tType ).
tff(decl_sort2,type,
tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $tType ).
tff(decl_27,type,
ap: ( $i * $i ) > $i ).
tff(decl_189,type,
inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).
tff(decl_192,type,
fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).
tff(decl_5233,type,
inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal > $i ).
tff(decl_5234,type,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $i > tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
tff(decl_5775,type,
c_2Ecomplex_2Ecomplex__inv: $i ).
tff(decl_5778,type,
c_2Ecomplex_2Ecomplex__of__num: $i ).
tff(decl_5804,type,
esk1_0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
tff(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
! [X30600: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X30600 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
=> ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30600))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
tff(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
! [X30599: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30599))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
<=> ( X30599 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).
tff(c_0_2,negated_conjecture,
~ ! [X30600: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X30600 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
=> ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30600))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).
tff(c_0_3,negated_conjecture,
~ ! [X30600: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( X30600 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
=> ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30600))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
tff(c_0_4,plain,
! [X30645: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30645))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
| ( X30645 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) )
& ( ( X30645 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
| ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X30645))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0])])]) ).
tff(c_0_5,negated_conjecture,
( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(esk1_0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
& ( esk1_0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
tcf(c_0_6,plain,
! [X27305: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X27305))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
| ( X27305 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,negated_conjecture,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(esk1_0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,negated_conjecture,
esk1_0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP019_5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 21:51:57 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 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
% 4.65/3.27 % Version: 3.5.1
% 4.65/3.27 % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.65/3.27 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 4.65/3.27 % Starting new_bool_3 with 894s (3) cores
% 4.65/3.27 % Starting new_bool_1 with 894s (3) cores
% 4.65/3.27 % Starting sh5l with 298s (1) cores
% 4.65/3.27 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 4.65/3.27 % new_bool_1 with pid 909411 completed with status 0
% 4.65/3.27 % Result found by new_bool_1
% 4.65/3.27 % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.65/3.27 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 4.65/3.27 % Starting new_bool_3 with 894s (3) cores
% 4.65/3.27 % Starting new_bool_1 with 894s (3) cores
% 4.65/3.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.65/3.27 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.65/3.27 % Search class: FGHSM-SMLM33-DFFFFFNN
% 4.65/3.27 % Scheduled 7 strats onto 3 cores with 894 seconds (894 total)
% 4.65/3.27 % Starting SubtermCWHack with 81s (1) cores
% 4.65/3.27 % Starting new_bool_1 with 90s (1) cores
% 4.65/3.27 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 81s (1) cores
% 4.65/3.27 % SubtermCWHack with pid 909414 completed with status 0
% 4.65/3.27 % Result found by SubtermCWHack
% 4.65/3.27 % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.65/3.27 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 4.65/3.27 % Starting new_bool_3 with 894s (3) cores
% 4.65/3.27 % Starting new_bool_1 with 894s (3) cores
% 4.65/3.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.65/3.27 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.65/3.27 % Search class: FGHSM-SMLM33-DFFFFFNN
% 4.65/3.27 % Scheduled 7 strats onto 3 cores with 894 seconds (894 total)
% 4.65/3.27 % Starting SubtermCWHack with 81s (1) cores
% 4.65/3.27 % Preprocessing time : 0.086 s
% 4.65/3.27
% 4.65/3.27 % Proof found!
% 4.65/3.27 % SZS status Theorem
% 4.65/3.27 % SZS output start CNFRefutation
% See solution above
% 4.65/3.27 % Parsed axioms : 23420
% 4.65/3.27 % Removed by relevancy pruning/SinE : 22437
% 4.65/3.27 % Initial clauses : 2908
% 4.65/3.27 % Removed in clause preprocessing : 201
% 4.65/3.27 % Initial clauses in saturation : 2707
% 4.65/3.27 % Processed clauses : 539
% 4.65/3.27 % ...of these trivial : 22
% 4.65/3.27 % ...subsumed : 113
% 4.65/3.27 % ...remaining for further processing : 404
% 4.65/3.27 % Other redundant clauses eliminated : 65
% 4.65/3.27 % Clauses deleted for lack of memory : 0
% 4.65/3.27 % Backward-subsumed : 0
% 4.65/3.27 % Backward-rewritten : 6
% 4.65/3.27 % Generated clauses : 1230
% 4.65/3.27 % ...of the previous two non-redundant : 1077
% 4.65/3.27 % ...aggressively subsumed : 0
% 4.65/3.27 % Contextual simplify-reflections : 0
% 4.65/3.27 % Paramodulations : 1163
% 4.65/3.27 % Factorizations : 0
% 4.65/3.27 % NegExts : 0
% 4.65/3.27 % Equation resolutions : 72
% 4.65/3.27 % Disequality decompositions : 0
% 4.65/3.27 % Total rewrite steps : 220
% 4.65/3.27 % ...of those cached : 149
% 4.65/3.27 % Propositional unsat checks : 0
% 4.65/3.27 % Propositional check models : 0
% 4.65/3.27 % Propositional check unsatisfiable : 0
% 4.65/3.27 % Propositional clauses : 0
% 4.65/3.27 % Propositional clauses after purity: 0
% 4.65/3.27 % Propositional unsat core size : 0
% 4.65/3.27 % Propositional preprocessing time : 0.000
% 4.65/3.27 % Propositional encoding time : 0.000
% 4.65/3.27 % Propositional solver time : 0.000
% 4.65/3.27 % Success case prop preproc time : 0.000
% 4.65/3.27 % Success case prop encoding time : 0.000
% 4.65/3.27 % Success case prop solver time : 0.000
% 4.65/3.27 % Current number of processed clauses : 352
% 4.65/3.27 % Positive orientable unit clauses : 127
% 4.65/3.27 % Positive unorientable unit clauses: 0
% 4.65/3.27 % Negative unit clauses : 17
% 4.65/3.27 % Non-unit-clauses : 208
% 4.65/3.27 % Current number of unprocessed clauses: 3242
% 4.65/3.27 % ...number of literals in the above : 13747
% 4.65/3.27 % Current number of archived formulas : 0
% 4.65/3.27 % Current number of archived clauses : 6
% 4.65/3.27 % Clause-clause subsumption calls (NU) : 4719
% 4.65/3.27 % Rec. Clause-clause subsumption calls : 4284
% 4.65/3.27 % Non-unit clause-clause subsumptions : 87
% 4.65/3.27 % Unit Clause-clause subsumption calls : 80
% 4.65/3.27 % Rewrite failures with RHS unbound : 0
% 4.65/3.27 % BW rewrite match attempts : 357
% 4.65/3.27 % BW rewrite match successes : 5
% 4.65/3.27 % Condensation attempts : 0
% 4.65/3.27 % Condensation successes : 0
% 4.65/3.27 % Termbank termtop insertions : 1111723
% 4.65/3.27 % Search garbage collected termcells : 409476
% 4.65/3.27
% 4.65/3.27 % -------------------------------------------------
% 4.65/3.27 % User time : 0.572 s
% 4.65/3.27 % System time : 0.124 s
% 4.65/3.27 % Total time : 0.696 s
% 4.65/3.27 % Maximum resident set size: 84048 pages
% 4.65/3.27
% 4.65/3.27 % -------------------------------------------------
% 4.65/3.27 % User time : 2.931 s
% 4.65/3.27 % System time : 0.305 s
% 4.65/3.27 % Total time : 3.236 s
% 4.65/3.27 % Maximum resident set size: 70400 pages
% 4.65/3.27 % E exiting
%------------------------------------------------------------------------------