%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP162^1 : 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 : n016.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 08:05:42 AM UTC 2026
% Result : Theorem 0.21s 0.33s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 115 ( 4 ~; 0 |; 9 &; 102 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 9 ^; 14 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
refine424419629nres_a: $tType ).
thf(decl_sort3,type,
set_a: $tType ).
thf(decl_28,type,
inf_in262696383nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(decl_29,type,
inf_inf_set_a: set_a > set_a > set_a ).
thf(decl_34,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(decl_44,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(decl_46,type,
collect_a: ( a > $o ) > set_a ).
thf(decl_48,type,
a2: refine424419629nres_a ).
thf(decl_49,type,
p: a > $o ).
thf(decl_50,type,
q: a > $o ).
thf(conj_0,conjecture,
( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X746: a] :
( ( p @ X746 )
& ( q @ X746 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c9T1iLztbG/E---3.1_844594.p',conj_0) ).
thf(fact_272_Collect__conj__eq,axiom,
! [X644: a > $o,X12: a > $o] :
( ( collect_a
@ ^ [X53: a] :
( ( X644 @ X53 )
& ( X12 @ X53 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X644 ) @ ( collect_a @ X12 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c9T1iLztbG/E---3.1_844594.p',fact_272_Collect__conj__eq) ).
thf(fact_148_inf__nres_Osimps_I3_J,axiom,
! [X401: set_a,X402: set_a] :
( ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X401 ) @ ( refine1198353288_RES_a @ X402 ) )
= ( refine1198353288_RES_a @ ( inf_inf_set_a @ X401 @ X402 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c9T1iLztbG/E---3.1_844594.p',fact_148_inf__nres_Osimps_I3_J) ).
thf(fact_4__092_060open_062A_A_092_060le_062_Ainf_A_ISPEC_AP_J_A_ISPEC_AQ_J_092_060close_062,axiom,
ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c9T1iLztbG/E---3.1_844594.p',fact_4__092_060open_062A_A_092_060le_062_Ainf_A_ISPEC_AP_J_A_ISPEC_AQ_J_092_060close_062) ).
thf(c_0_4,negated_conjecture,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [X746: a] :
( ( p @ X746 )
& ( q @ X746 ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Z0: a] :
( ( p @ Z0 )
& ( q @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])]) ).
thf(c_0_6,plain,
! [X644: a > $o,X12: a > $o] :
( ( collect_a
@ ^ [Z0: a] :
( ( X644 @ Z0 )
& ( X12 @ Z0 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X644 ) @ ( collect_a @ X12 ) ) ),
inference(fof_simplification,[status(thm)],[fact_272_Collect__conj__eq]) ).
thf(c_0_7,plain,
! [X1276: set_a,X1277: set_a] :
( ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X1276 ) @ ( refine1198353288_RES_a @ X1277 ) )
= ( refine1198353288_RES_a @ ( inf_inf_set_a @ X1276 @ X1277 ) ) ),
inference(variable_rename,[status(thm)],[fact_148_inf__nres_Osimps_I3_J]) ).
thf(c_0_8,negated_conjecture,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Z0: a] :
( ( p @ Z0 )
& ( q @ Z0 ) ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1300: a > $o,X1301: a > $o] :
( ( collect_a
@ ^ [Z0: a] :
( ( X1300 @ Z0 )
& ( X1301 @ Z0 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X1300 ) @ ( collect_a @ X1301 ) ) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
ord_le519537037nres_a @ a2 @ ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ ( collect_a @ p ) ) @ ( refine1198353288_RES_a @ ( collect_a @ q ) ) ),
inference(split_conjunct,[status(thm)],[fact_4__092_060open_062A_A_092_060le_062_Ainf_A_ISPEC_AP_J_A_ISPEC_AQ_J_092_060close_062]) ).
thf(c_0_11,plain,
! [X1: set_a,X2: set_a] :
( ( inf_in262696383nres_a @ ( refine1198353288_RES_a @ X1 ) @ ( refine1198353288_RES_a @ X2 ) )
= ( refine1198353288_RES_a @ ( inf_inf_set_a @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
~ ( ord_le519537037nres_a @ a2
@ ( refine1198353288_RES_a
@ ( collect_a
@ ^ [Z0: a] :
( ( p @ Z0 )
& ( q @ Z0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X7: a > $o,X12: a > $o] :
( ( collect_a
@ ^ [Z0: a] :
( ( X7 @ Z0 )
& ( X12 @ Z0 ) ) )
= ( inf_inf_set_a @ ( collect_a @ X7 ) @ ( collect_a @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
ord_le519537037nres_a @ a2 @ ( refine1198353288_RES_a @ ( inf_inf_set_a @ ( collect_a @ p ) @ ( collect_a @ q ) ) ),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP162^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 20:09:04 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.26 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.c9T1iLztbG/E---3.1_844594.p
% 0.21/0.33 % Version: 3.5.1-ho
% 0.21/0.33 % Preprocessing class: HSLSSMSSSSLCHSA.
% 0.21/0.33 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33 % Starting sh2 with 1200s (4) cores
% 0.21/0.33 % Starting full_lambda_3 with 300s (1) cores
% 0.21/0.33 % Starting ehoh_best7_lambda with 300s (1) cores
% 0.21/0.33 % Starting post_as_ho9 with 300s (1) cores
% 0.21/0.33 % Starting almost_fo_4 with 300s (1) cores
% 0.21/0.33 % post_as_ho9 with pid 844610 completed with status 0
% 0.21/0.33 % Result found by post_as_ho9
% 0.21/0.33 % Preprocessing class: HSLSSMSSSSLCHSA.
% 0.21/0.33 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33 % Starting sh2 with 1200s (4) cores
% 0.21/0.33 % Starting full_lambda_3 with 300s (1) cores
% 0.21/0.33 % Starting ehoh_best7_lambda with 300s (1) cores
% 0.21/0.33 % Starting post_as_ho9 with 300s (1) cores
% 0.21/0.33 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,,true,1,0,2,20000,1.0,true))
% 0.21/0.33 % SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
% 0.21/0.33 % Search class: HGUSM-FSLS32-DHSFFSBN
% 0.21/0.33 % partial match(1): HGUSM-FSLM32-DHSFFSBN
% 0.21/0.33 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.33 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.33 % SubtermCWHack with pid 844612 completed with status 0
% 0.21/0.33 % Result found by SubtermCWHack
% 0.21/0.33 % Preprocessing class: HSLSSMSSSSLCHSA.
% 0.21/0.33 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33 % Starting sh2 with 1200s (4) cores
% 0.21/0.33 % Starting full_lambda_3 with 300s (1) cores
% 0.21/0.33 % Starting ehoh_best7_lambda with 300s (1) cores
% 0.21/0.33 % Starting post_as_ho9 with 300s (1) cores
% 0.21/0.33 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,,true,1,0,2,20000,1.0,true))
% 0.21/0.33 % SinE strategy is GSinE(CountFormulas,,true,1,0,2,20000,1.0,true)
% 0.21/0.33 % Search class: HGUSM-FSLS32-DHSFFSBN
% 0.21/0.33 % partial match(1): HGUSM-FSLM32-DHSFFSBN
% 0.21/0.33 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.33 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.33 % Preprocessing time : 0.005 s
% 0.21/0.33
% 0.21/0.33 % Proof found!
% 0.21/0.33 % SZS status Theorem
% 0.21/0.33 % SZS output start CNFRefutation
% See solution above
% 0.21/0.33 % Parsed axioms : 388
% 0.21/0.33 % Removed by relevancy pruning/SinE : 227
% 0.21/0.33 % Initial clauses : 229
% 0.21/0.33 % Removed in clause preprocessing : 9
% 0.21/0.33 % Initial clauses in saturation : 220
% 0.21/0.33 % Processed clauses : 435
% 0.21/0.33 % ...of these trivial : 151
% 0.21/0.33 % ...subsumed : 156
% 0.21/0.33 % ...remaining for further processing : 128
% 0.21/0.33 % Other redundant clauses eliminated : 22
% 0.21/0.33 % Clauses deleted for lack of memory : 0
% 0.21/0.33 % Backward-subsumed : 0
% 0.21/0.33 % Backward-rewritten : 12
% 0.21/0.33 % Generated clauses : 1861
% 0.21/0.33 % ...of the previous two non-redundant : 971
% 0.21/0.33 % ...aggressively subsumed : 0
% 0.21/0.33 % Contextual simplify-reflections : 0
% 0.21/0.33 % Paramodulations : 1838
% 0.21/0.33 % Factorizations : 0
% 0.21/0.33 % NegExts : 0
% 0.21/0.33 % Equation resolutions : 23
% 0.21/0.33 % Disequality decompositions : 0
% 0.21/0.33 % Total rewrite steps : 1286
% 0.21/0.33 % ...of those cached : 894
% 0.21/0.33 % Propositional unsat checks : 0
% 0.21/0.33 % Propositional check models : 0
% 0.21/0.33 % Propositional check unsatisfiable : 0
% 0.21/0.33 % Propositional clauses : 0
% 0.21/0.33 % Propositional clauses after purity: 0
% 0.21/0.33 % Propositional unsat core size : 0
% 0.21/0.33 % Propositional preprocessing time : 0.000
% 0.21/0.33 % Propositional encoding time : 0.000
% 0.21/0.33 % Propositional solver time : 0.000
% 0.21/0.33 % Success case prop preproc time : 0.000
% 0.21/0.33 % Success case prop encoding time : 0.000
% 0.21/0.33 % Success case prop solver time : 0.000
% 0.21/0.33 % Current number of processed clauses : 98
% 0.21/0.33 % Positive orientable unit clauses : 54
% 0.21/0.33 % Positive unorientable unit clauses: 4
% 0.21/0.33 % Negative unit clauses : 1
% 0.21/0.33 % Non-unit-clauses : 39
% 0.21/0.33 % Current number of unprocessed clauses: 752
% 0.21/0.33 % ...number of literals in the above : 1278
% 0.21/0.33 % Current number of archived formulas : 0
% 0.21/0.33 % Current number of archived clauses : 12
% 0.21/0.33 % Clause-clause subsumption calls (NU) : 450
% 0.21/0.33 % Rec. Clause-clause subsumption calls : 450
% 0.21/0.33 % Non-unit clause-clause subsumptions : 143
% 0.21/0.33 % Unit Clause-clause subsumption calls : 17
% 0.21/0.33 % Rewrite failures with RHS unbound : 0
% 0.21/0.33 % BW rewrite match attempts : 144
% 0.21/0.33 % BW rewrite match successes : 34
% 0.21/0.33 % Condensation attempts : 0
% 0.21/0.33 % Condensation successes : 0
% 0.21/0.33 % Termbank termtop insertions : 33389
% 0.21/0.33 % Search garbage collected termcells : 7554
% 0.21/0.33
% 0.21/0.33 % -------------------------------------------------
% 0.21/0.33 % User time : 0.033 s
% 0.21/0.33 % System time : 0.006 s
% 0.21/0.33 % Total time : 0.039 s
% 0.21/0.33 % Maximum resident set size: 5552 pages
% 0.21/0.33
% 0.21/0.33 % -------------------------------------------------
% 0.21/0.33 % User time : 0.045 s
% 0.21/0.33 % System time : 0.013 s
% 0.21/0.33 % Total time : 0.058 s
% 0.21/0.33 % Maximum resident set size: 5888 pages
% 0.21/0.33 % E exiting
%------------------------------------------------------------------------------