%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 08:04:08 AM UTC 2026
% Result : Theorem 0.36s 0.47s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 107 ( 16 ~; 11 |; 6 &; 70 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_a: $tType ).
thf(decl_sort2,type,
produc715398134_a_a_e: $tType ).
thf(decl_sort3,type,
set_Pr204296108_a_a_e: $tType ).
thf(decl_sort4,type,
set_set_a: $tType ).
thf(decl_39,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(decl_57,type,
produc1040928388_a_a_e: produc715398134_a_a_e > set_a ).
thf(decl_80,type,
image_64240033_set_a: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a ).
thf(decl_100,type,
member_set_a: set_a > set_set_a > $o ).
thf(decl_102,type,
c: set_Pr204296108_a_a_e ).
thf(decl_103,type,
a1: set_a ).
thf(decl_104,type,
a2: set_a ).
thf(decl_105,type,
a3: set_a ).
thf(decl_109,type,
thesis: $o ).
thf(decl_118,type,
esk9_0: set_a ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox2/tmp/tmp.wVHCm3W2cB/E---3.1_547663.p',conj_1) ).
thf(conj_0,hypothesis,
! [X891: set_a] :
( ( member_set_a @ X891 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X891 )
=> ( ( ord_less_eq_set_a @ a2 @ X891 )
=> ( ( ord_less_eq_set_a @ a3 @ X891 )
=> thesis ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wVHCm3W2cB/E---3.1_547663.p',conj_0) ).
thf(fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062,axiom,
? [X3: set_a] :
( ( member_set_a @ X3 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X3 )
& ( ord_less_eq_set_a @ a2 @ X3 )
& ( ord_less_eq_set_a @ a3 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wVHCm3W2cB/E---3.1_547663.p',fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062) ).
thf(c_0_3,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_4,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,hypothesis,
! [X1246: set_a] :
( ~ ( member_set_a @ X1246 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ X1246 )
| ~ ( ord_less_eq_set_a @ a2 @ X1246 )
| ~ ( ord_less_eq_set_a @ a3 @ X1246 )
| thesis ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
thf(c_0_6,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,hypothesis,
! [X3: set_a] :
( thesis
| ~ ( member_set_a @ X3 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ X3 )
| ~ ( ord_less_eq_set_a @ a2 @ X3 )
| ~ ( ord_less_eq_set_a @ a3 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
( ( member_set_a @ esk9_0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ esk9_0 )
& ( ord_less_eq_set_a @ a2 @ esk9_0 )
& ( ord_less_eq_set_a @ a3 @ esk9_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062])]) ).
thf(c_0_10,hypothesis,
! [X3: set_a] :
( ~ ( member_set_a @ X3 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ X3 )
| ~ ( ord_less_eq_set_a @ a2 @ X3 )
| ~ ( ord_less_eq_set_a @ a3 @ X3 ) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
member_set_a @ esk9_0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
ord_less_eq_set_a @ a1 @ esk9_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
ord_less_eq_set_a @ a2 @ esk9_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
ord_less_eq_set_a @ a3 @ esk9_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n018.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 19:40:41 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.28 Running higher-order theorem proving
% 0.27/0.37 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.wVHCm3W2cB/E---3.1_547663.p
% 0.36/0.47 % Version: 3.5.1-ho
% 0.36/0.47 % Preprocessing class: HSLSSMSMSSMCHSA.
% 0.36/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.47 % Starting post_as_ho6 with 1500s (5) cores
% 0.36/0.47 % Starting post_as_ho8 with 300s (1) cores
% 0.36/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.36/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.36/0.47 % post_as_ho6 with pid 547676 completed with status 0
% 0.36/0.47 % Result found by post_as_ho6
% 0.36/0.47 % Preprocessing class: HSLSSMSMSSMCHSA.
% 0.36/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.47 % Starting post_as_ho6 with 1500s (5) cores
% 0.36/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true))
% 0.36/0.47 % SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.36/0.47 % Search class: HGUSM-FSLM32-SHSFFSBN
% 0.36/0.47 % partial match(1): HGUSM-FSLM32-MHSFFSBN
% 0.36/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.36/0.47 % Starting post_as_ho6 with 151s (1) cores
% 0.36/0.47 % Starting almost_fo_3 with 136s (1) cores
% 0.36/0.47 % Starting lpo6_lambda_fix with 136s (1) cores
% 0.36/0.47 % Starting additional_ho_6 with 136s (1) cores
% 0.36/0.47 % almost_fo_3 with pid 547685 completed with status 0
% 0.36/0.47 % Result found by almost_fo_3
% 0.36/0.47 % Preprocessing class: HSLSSMSMSSMCHSA.
% 0.36/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.47 % Starting post_as_ho6 with 1500s (5) cores
% 0.36/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true))
% 0.36/0.47 % SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.36/0.47 % Search class: HGUSM-FSLM32-SHSFFSBN
% 0.36/0.47 % partial match(1): HGUSM-FSLM32-MHSFFSBN
% 0.36/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.36/0.47 % Starting post_as_ho6 with 151s (1) cores
% 0.36/0.47 % Starting almost_fo_3 with 136s (1) cores
% 0.36/0.47 % Preprocessing time : 0.004 s
% 0.36/0.47 % Presaturation interreduction done
% 0.36/0.47
% 0.36/0.47 % Proof found!
% 0.36/0.47 % SZS status Theorem
% 0.36/0.47 % SZS output start CNFRefutation
% See solution above
% 0.36/0.47 % Parsed axioms : 456
% 0.36/0.47 % Removed by relevancy pruning/SinE : 330
% 0.36/0.47 % Initial clauses : 205
% 0.36/0.47 % Removed in clause preprocessing : 20
% 0.36/0.47 % Initial clauses in saturation : 185
% 0.36/0.47 % Processed clauses : 283
% 0.36/0.47 % ...of these trivial : 7
% 0.36/0.47 % ...subsumed : 51
% 0.36/0.47 % ...remaining for further processing : 225
% 0.36/0.47 % Other redundant clauses eliminated : 66
% 0.36/0.47 % Clauses deleted for lack of memory : 0
% 0.36/0.47 % Backward-subsumed : 0
% 0.36/0.47 % Backward-rewritten : 4
% 0.36/0.47 % Generated clauses : 163
% 0.36/0.47 % ...of the previous two non-redundant : 75
% 0.36/0.47 % ...aggressively subsumed : 0
% 0.36/0.47 % Contextual simplify-reflections : 0
% 0.36/0.47 % Paramodulations : 71
% 0.36/0.47 % Factorizations : 0
% 0.36/0.47 % NegExts : 0
% 0.36/0.47 % Equation resolutions : 69
% 0.36/0.47 % Disequality decompositions : 0
% 0.36/0.47 % Total rewrite steps : 78
% 0.36/0.47 % ...of those cached : 56
% 0.36/0.47 % Propositional unsat checks : 0
% 0.36/0.47 % Propositional check models : 0
% 0.36/0.47 % Propositional check unsatisfiable : 0
% 0.36/0.47 % Propositional clauses : 0
% 0.36/0.47 % Propositional clauses after purity: 0
% 0.36/0.47 % Propositional unsat core size : 0
% 0.36/0.47 % Propositional preprocessing time : 0.000
% 0.36/0.47 % Propositional encoding time : 0.000
% 0.36/0.47 % Propositional solver time : 0.000
% 0.36/0.47 % Success case prop preproc time : 0.000
% 0.36/0.47 % Success case prop encoding time : 0.000
% 0.36/0.47 % Success case prop solver time : 0.000
% 0.36/0.47 % Current number of processed clauses : 70
% 0.36/0.47 % Positive orientable unit clauses : 25
% 0.36/0.47 % Positive unorientable unit clauses: 0
% 0.36/0.47 % Negative unit clauses : 1
% 0.36/0.47 % Non-unit-clauses : 44
% 0.36/0.47 % Current number of unprocessed clauses: 71
% 0.36/0.47 % ...number of literals in the above : 183
% 0.36/0.47 % Current number of archived formulas : 0
% 0.36/0.47 % Current number of archived clauses : 105
% 0.36/0.47 % Clause-clause subsumption calls (NU) : 719
% 0.36/0.47 % Rec. Clause-clause subsumption calls : 604
% 0.36/0.47 % Non-unit clause-clause subsumptions : 51
% 0.36/0.47 % Unit Clause-clause subsumption calls : 7
% 0.36/0.47 % Rewrite failures with RHS unbound : 0
% 0.36/0.47 % BW rewrite match attempts : 15
% 0.36/0.47 % BW rewrite match successes : 4
% 0.36/0.47 % Condensation attempts : 0
% 0.36/0.47 % Condensation successes : 0
% 0.36/0.47 % Termbank termtop insertions : 22294
% 0.36/0.47 % Search garbage collected termcells : 7859
% 0.36/0.47
% 0.36/0.47 % -------------------------------------------------
% 0.36/0.47 % User time : 0.034 s
% 0.36/0.47 % System time : 0.009 s
% 0.36/0.47 % Total time : 0.042 s
% 0.36/0.47 % Maximum resident set size: 5532 pages
% 0.36/0.47
% 0.36/0.47 % -------------------------------------------------
% 0.36/0.47 % User time : 0.109 s
% 0.36/0.47 % System time : 0.047 s
% 0.36/0.47 % Total time : 0.155 s
% 0.36/0.47 % Maximum resident set size: 5888 pages
% 0.36/0.47 % E exiting
%------------------------------------------------------------------------------