%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP164^1 : 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 : n018.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 08:05:43 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
product_unit: $tType ).
thf(decl_sort2,type,
refine787176636t_unit: $tType ).
thf(decl_sort3,type,
refine424419629nres_a: $tType ).
thf(decl_25,type,
bot_bo658782032t_unit: refine787176636t_unit ).
thf(decl_26,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(decl_54,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(decl_95,type,
f: product_unit > refine424419629nres_a ).
thf(conj_0,conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/tmp/tmp.bir0iVNO6o/E---3.1_578416.p',conj_0) ).
thf(fact_3_bind__SUCCEED,axiom,
! [X4: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ X4 )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox/tmp/tmp.bir0iVNO6o/E---3.1_578416.p',fact_3_bind__SUCCEED) ).
thf(c_0_2,negated_conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,negated_conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X1073: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ X1073 )
= bot_bo529555393nres_a ),
inference(variable_rename,[status(thm)],[fact_3_bind__SUCCEED]) ).
thf(c_0_6,negated_conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X4: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ X4 )
= bot_bo529555393nres_a ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP164^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n018.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 20:06:56 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.24 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.bir0iVNO6o/E---3.1_578416.p
% 0.21/0.29 % Version: 3.5.1-ho
% 0.21/0.29 % Preprocessing class: HSLSSMSSSSMCHSA.
% 0.21/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.29 % Starting post_as_ho6 with 1500s (5) cores
% 0.21/0.29 % Starting post_as_ho7 with 300s (1) cores
% 0.21/0.29 % Starting post_as_ho8 with 300s (1) cores
% 0.21/0.29 % Starting lpo8_s with 300s (1) cores
% 0.21/0.29 % post_as_ho6 with pid 578456 completed with status 0
% 0.21/0.29 % Result found by post_as_ho6
% 0.21/0.29 % Preprocessing class: HSLSSMSSSSMCHSA.
% 0.21/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.29 % Starting post_as_ho6 with 1500s (5) cores
% 0.21/0.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true))
% 0.21/0.29 % SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.21/0.29 % Search class: HGHSM-FSLF33-SHSFFFNN
% 0.21/0.29 % partial match(3): FGHSM-FSLF33-SFFFFFNN
% 0.21/0.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.29 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.29 % Starting post_as_ho6 with 151s (1) cores
% 0.21/0.29 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 244s (1) cores
% 0.21/0.29 % Starting new_bool_3 with 244s (1) cores
% 0.21/0.29 % Starting new_bool_1 with 243s (1) cores
% 0.21/0.29 % post_as_ho6 with pid 578464 completed with status 0
% 0.21/0.29 % Result found by post_as_ho6
% 0.21/0.29 % Preprocessing class: HSLSSMSSSSMCHSA.
% 0.21/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.29 % Starting post_as_ho6 with 1500s (5) cores
% 0.21/0.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true))
% 0.21/0.29 % SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.21/0.29 % Search class: HGHSM-FSLF33-SHSFFFNN
% 0.21/0.29 % partial match(3): FGHSM-FSLF33-SFFFFFNN
% 0.21/0.29 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.29 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.29 % Starting post_as_ho6 with 151s (1) cores
% 0.21/0.29 % Preprocessing time : 0.005 s
% 0.21/0.29 % Presaturation interreduction done
% 0.21/0.29
% 0.21/0.29 % Proof found!
% 0.21/0.29 % SZS status Theorem
% 0.21/0.29 % SZS output start CNFRefutation
% See solution above
% 0.21/0.29 % Parsed axioms : 445
% 0.21/0.29 % Removed by relevancy pruning/SinE : 329
% 0.21/0.29 % Initial clauses : 225
% 0.21/0.29 % Removed in clause preprocessing : 23
% 0.21/0.29 % Initial clauses in saturation : 202
% 0.21/0.29 % Processed clauses : 6
% 0.21/0.29 % ...of these trivial : 0
% 0.21/0.29 % ...subsumed : 2
% 0.21/0.29 % ...remaining for further processing : 4
% 0.21/0.29 % Other redundant clauses eliminated : 0
% 0.21/0.29 % Clauses deleted for lack of memory : 0
% 0.21/0.29 % Backward-subsumed : 0
% 0.21/0.29 % Backward-rewritten : 1
% 0.21/0.29 % Generated clauses : 0
% 0.21/0.29 % ...of the previous two non-redundant : 0
% 0.21/0.29 % ...aggressively subsumed : 0
% 0.21/0.29 % Contextual simplify-reflections : 0
% 0.21/0.29 % Paramodulations : 0
% 0.21/0.29 % Factorizations : 0
% 0.21/0.29 % NegExts : 0
% 0.21/0.29 % Equation resolutions : 0
% 0.21/0.29 % Disequality decompositions : 0
% 0.21/0.29 % Total rewrite steps : 1
% 0.21/0.29 % ...of those cached : 0
% 0.21/0.29 % Propositional unsat checks : 0
% 0.21/0.29 % Propositional check models : 0
% 0.21/0.29 % Propositional check unsatisfiable : 0
% 0.21/0.29 % Propositional clauses : 0
% 0.21/0.29 % Propositional clauses after purity: 0
% 0.21/0.29 % Propositional unsat core size : 0
% 0.21/0.29 % Propositional preprocessing time : 0.000
% 0.21/0.29 % Propositional encoding time : 0.000
% 0.21/0.29 % Propositional solver time : 0.000
% 0.21/0.29 % Success case prop preproc time : 0.000
% 0.21/0.29 % Success case prop encoding time : 0.000
% 0.21/0.29 % Success case prop solver time : 0.000
% 0.21/0.29 % Current number of processed clauses : 3
% 0.21/0.29 % Positive orientable unit clauses : 1
% 0.21/0.29 % Positive unorientable unit clauses: 0
% 0.21/0.29 % Negative unit clauses : 2
% 0.21/0.29 % Non-unit-clauses : 0
% 0.21/0.29 % Current number of unprocessed clauses: 196
% 0.21/0.29 % ...number of literals in the above : 547
% 0.21/0.29 % Current number of archived formulas : 0
% 0.21/0.29 % Current number of archived clauses : 1
% 0.21/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.21/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.21/0.29 % Non-unit clause-clause subsumptions : 0
% 0.21/0.29 % Unit Clause-clause subsumption calls : 2
% 0.21/0.29 % Rewrite failures with RHS unbound : 0
% 0.21/0.29 % BW rewrite match attempts : 1
% 0.21/0.29 % BW rewrite match successes : 1
% 0.21/0.29 % Condensation attempts : 6
% 0.21/0.29 % Condensation successes : 0
% 0.21/0.29 % Termbank termtop insertions : 20184
% 0.21/0.29 % Search garbage collected termcells : 7982
% 0.21/0.29
% 0.21/0.29 % -------------------------------------------------
% 0.21/0.29 % User time : 0.013 s
% 0.21/0.29 % System time : 0.005 s
% 0.21/0.29 % Total time : 0.018 s
% 0.21/0.29 % Maximum resident set size: 5444 pages
% 0.21/0.29
% 0.21/0.29 % -------------------------------------------------
% 0.21/0.29 % User time : 0.040 s
% 0.21/0.29 % System time : 0.025 s
% 0.21/0.29 % Total time : 0.064 s
% 0.21/0.29 % Maximum resident set size: 5888 pages
% 0.21/0.29 % E exiting
%------------------------------------------------------------------------------