%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP148^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Wed Sep 30 08:04:30 AM UTC 2026
% Result : Theorem 0.21s 0.34s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 68 ( 4 ~; 0 |; 0 &; 64 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
complex: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
real: $tType ).
thf(decl_48,type,
comp_a_complex_real: ( a > complex ) > ( real > a ) > real > complex ).
thf(decl_95,type,
path_p769714271omplex: ( real > complex ) > complex ).
thf(decl_97,type,
path_pathfinish_a: ( real > a ) > a ).
thf(decl_98,type,
path_p797330068omplex: ( real > complex ) > complex ).
thf(decl_100,type,
path_pathstart_a: ( real > a ) > a ).
thf(decl_105,type,
poinca1910941596x_of_a: a > complex ).
thf(decl_122,type,
c: real > a ).
thf(conj_0,conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
file('/export/starexec/sandbox/tmp/tmp.EYMyjUSVfq/E---3.1_3140038.p',conj_0) ).
thf(fact_18_pathstart__compose,axiom,
! [X35: a > complex,X36: real > a] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X35 @ X36 ) )
= ( X35 @ ( path_pathstart_a @ X36 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.EYMyjUSVfq/E---3.1_3140038.p',fact_18_pathstart__compose) ).
thf(fact_13_pathfinish__compose,axiom,
! [X27: a > complex,X28: real > a] :
( ( path_p769714271omplex @ ( comp_a_complex_real @ X27 @ X28 ) )
= ( X27 @ ( path_pathfinish_a @ X28 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.EYMyjUSVfq/E---3.1_3140038.p',fact_13_pathfinish__compose) ).
thf(fact_0_assms_I2_J,axiom,
( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ),
file('/export/starexec/sandbox/tmp/tmp.EYMyjUSVfq/E---3.1_3140038.p',fact_0_assms_I2_J) ).
thf(c_0_4,negated_conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
! [X907: a > complex,X908: real > a] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X907 @ X908 ) )
= ( X907 @ ( path_pathstart_a @ X908 ) ) ),
inference(variable_rename,[status(thm)],[fact_18_pathstart__compose]) ).
thf(c_0_8,plain,
! [X944: a > complex,X945: real > a] :
( ( path_p769714271omplex @ ( comp_a_complex_real @ X944 @ X945 ) )
= ( X944 @ ( path_pathfinish_a @ X945 ) ) ),
inference(variable_rename,[status(thm)],[fact_13_pathfinish__compose]) ).
thf(c_0_9,negated_conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X4: a > complex,X1: real > a] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X4 @ X1 ) )
= ( X4 @ ( path_pathstart_a @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X4: a > complex,X1: real > a] :
( ( path_p769714271omplex @ ( comp_a_complex_real @ X4 @ X1 ) )
= ( X4 @ ( path_pathfinish_a @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ),
inference(split_conjunct,[status(thm)],[fact_0_assms_I2_J]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP148^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:00:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.EYMyjUSVfq/E---3.1_3140038.p
% 0.21/0.34 % Version: 3.5.1-ho
% 0.21/0.34 % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.21/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.34 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.34 % Starting sh7 with 300s (1) cores
% 0.21/0.34 % Starting ho_unfolding_2 with 300s (1) cores
% 0.21/0.34 % Starting new_bool_12 with 300s (1) cores
% 0.21/0.34 % new_bool_12 with pid 3140076 completed with status 0
% 0.21/0.34 % Result found by new_bool_12
% 0.21/0.34 % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.21/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.34 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.34 % Starting sh7 with 300s (1) cores
% 0.21/0.34 % Starting ho_unfolding_2 with 300s (1) cores
% 0.21/0.34 % Starting new_bool_12 with 300s (1) cores
% 0.21/0.34 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,1,20000,1.0))
% 0.21/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1,,1,20000,1.0)
% 0.21/0.34 % Search class: HHUSM-FFMS31-SHSFFMNN
% 0.21/0.34 % partial match(5): FHUSM-FFMS21-SFFFFFNN
% 0.21/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.34 % SubtermCWHack with pid 3140080 completed with status 0
% 0.21/0.34 % Result found by SubtermCWHack
% 0.21/0.34 % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.21/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.34 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.34 % Starting sh7 with 300s (1) cores
% 0.21/0.34 % Starting ho_unfolding_2 with 300s (1) cores
% 0.21/0.34 % Starting new_bool_12 with 300s (1) cores
% 0.21/0.34 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,1,20000,1.0))
% 0.21/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1,,1,20000,1.0)
% 0.21/0.34 % Search class: HHUSM-FFMS31-SHSFFMNN
% 0.21/0.34 % partial match(5): FHUSM-FFMS21-SFFFFFNN
% 0.21/0.34 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.34 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.34 % Preprocessing time : 0.003 s
% 0.21/0.34
% 0.21/0.34 % Proof found!
% 0.21/0.34 % SZS status Theorem
% 0.21/0.34 % SZS output start CNFRefutation
% See solution above
% 0.21/0.34 % Parsed axioms : 466
% 0.21/0.34 % Removed by relevancy pruning/SinE : 443
% 0.21/0.34 % Initial clauses : 24
% 0.21/0.34 % Removed in clause preprocessing : 0
% 0.21/0.34 % Initial clauses in saturation : 24
% 0.21/0.34 % Processed clauses : 17
% 0.21/0.34 % ...of these trivial : 1
% 0.21/0.34 % ...subsumed : 0
% 0.21/0.34 % ...remaining for further processing : 15
% 0.21/0.34 % Other redundant clauses eliminated : 0
% 0.21/0.34 % Clauses deleted for lack of memory : 0
% 0.21/0.34 % Backward-subsumed : 0
% 0.21/0.34 % Backward-rewritten : 0
% 0.21/0.34 % Generated clauses : 7
% 0.21/0.34 % ...of the previous two non-redundant : 4
% 0.21/0.34 % ...aggressively subsumed : 0
% 0.21/0.34 % Contextual simplify-reflections : 0
% 0.21/0.34 % Paramodulations : 7
% 0.21/0.34 % Factorizations : 0
% 0.21/0.34 % NegExts : 0
% 0.21/0.34 % Equation resolutions : 0
% 0.21/0.34 % Disequality decompositions : 0
% 0.21/0.34 % Total rewrite steps : 6
% 0.21/0.34 % ...of those cached : 1
% 0.21/0.34 % Propositional unsat checks : 0
% 0.21/0.34 % Propositional check models : 0
% 0.21/0.34 % Propositional check unsatisfiable : 0
% 0.21/0.34 % Propositional clauses : 0
% 0.21/0.34 % Propositional clauses after purity: 0
% 0.21/0.34 % Propositional unsat core size : 0
% 0.21/0.34 % Propositional preprocessing time : 0.000
% 0.21/0.34 % Propositional encoding time : 0.000
% 0.21/0.34 % Propositional solver time : 0.000
% 0.21/0.34 % Success case prop preproc time : 0.000
% 0.21/0.34 % Success case prop encoding time : 0.000
% 0.21/0.34 % Success case prop solver time : 0.000
% 0.21/0.34 % Current number of processed clauses : 15
% 0.21/0.34 % Positive orientable unit clauses : 10
% 0.21/0.34 % Positive unorientable unit clauses: 3
% 0.21/0.34 % Negative unit clauses : 0
% 0.21/0.34 % Non-unit-clauses : 2
% 0.21/0.34 % Current number of unprocessed clauses: 11
% 0.21/0.34 % ...number of literals in the above : 19
% 0.21/0.34 % Current number of archived formulas : 0
% 0.21/0.34 % Current number of archived clauses : 0
% 0.21/0.34 % Clause-clause subsumption calls (NU) : 0
% 0.21/0.34 % Rec. Clause-clause subsumption calls : 0
% 0.21/0.34 % Non-unit clause-clause subsumptions : 0
% 0.21/0.34 % Unit Clause-clause subsumption calls : 0
% 0.21/0.34 % Rewrite failures with RHS unbound : 0
% 0.21/0.34 % BW rewrite match attempts : 88
% 0.21/0.34 % BW rewrite match successes : 0
% 0.21/0.34 % Condensation attempts : 0
% 0.21/0.34 % Condensation successes : 0
% 0.21/0.34 % Termbank termtop insertions : 6614
% 0.21/0.34 % Search garbage collected termcells : 3812
% 0.21/0.34
% 0.21/0.34 % -------------------------------------------------
% 0.21/0.34 % User time : 0.006 s
% 0.21/0.34 % System time : 0.007 s
% 0.21/0.34 % Total time : 0.013 s
% 0.21/0.34 % Maximum resident set size: 5136 pages
% 0.21/0.34
% 0.21/0.34 % -------------------------------------------------
% 0.21/0.34 % User time : 0.018 s
% 0.21/0.34 % System time : 0.016 s
% 0.21/0.34 % Total time : 0.034 s
% 0.21/0.34 % Maximum resident set size: 5632 pages
% 0.21/0.34 % E exiting
%------------------------------------------------------------------------------