%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP039^1 : 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 : n015.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 08:04:10 AM UTC 2026
% Result : Theorem 0.23s 0.33s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 82 ( 4 ~; 0 |; 0 &; 64 @)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Su1783761653um_b_c: $tType ).
thf(decl_sort2,type,
formula_a_b_c: $tType ).
thf(decl_sort3,type,
denota231621370t_unit: $tType ).
thf(decl_sort4,type,
set_Sum_sum_c_c: $tType ).
thf(decl_sort5,type,
produc190496183real_c: $tType ).
thf(decl_sort6,type,
set_Pr1389752855real_c: $tType ).
thf(decl_24,type,
denota69106024_a_b_c: denota231621370t_unit > denota231621370t_unit > set_Su1783761653um_b_c > $o ).
thf(decl_25,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(decl_26,type,
denota968303861_a_b_c: denota231621370t_unit > formula_a_b_c > set_Pr1389752855real_c ).
thf(decl_133,type,
static_FVF_a_b_c: formula_a_b_c > set_Sum_sum_c_c ).
thf(decl_134,type,
static_SIGF_a_b_c: formula_a_b_c > set_Su1783761653um_b_c ).
thf(decl_143,type,
member1895684704real_c: produc190496183real_c > set_Pr1389752855real_c > $o ).
thf(decl_148,type,
phi: formula_a_b_c ).
thf(conj_0,conjecture,
( ! [X2: produc190496183real_c,X3: produc190496183real_c,X4: denota231621370t_unit,X5: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X4 @ X5 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X2 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X2 @ ( denota968303861_a_b_c @ X4 @ phi ) )
<=> ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X5 @ phi ) ) ) ) )
<=> ! [X2: produc190496183real_c,X3: produc190496183real_c,X4: denota231621370t_unit,X5: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X4 @ X5 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X2 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X2 @ ( denota968303861_a_b_c @ X4 @ phi ) )
<=> ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X5 @ phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.w6AO1nQIu0/E---3.1_4015904.p',conj_0) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X2: produc190496183real_c,X3: produc190496183real_c,X4: denota231621370t_unit,X5: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X4 @ X5 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X2 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X2 @ ( denota968303861_a_b_c @ X4 @ phi ) )
<=> ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X5 @ phi ) ) ) ) )
<=> ! [X2: produc190496183real_c,X3: produc190496183real_c,X4: denota231621370t_unit,X5: denota231621370t_unit] :
( ( denota69106024_a_b_c @ X4 @ X5 @ ( static_SIGF_a_b_c @ phi ) )
=> ( ( denota1997846518gree_c @ X2 @ X3 @ ( static_FVF_a_b_c @ phi ) )
=> ( ( member1895684704real_c @ X2 @ ( denota968303861_a_b_c @ X4 @ phi ) )
<=> ( member1895684704real_c @ X3 @ ( denota968303861_a_b_c @ X5 @ phi ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_2,negated_conjecture,
~ $true,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
~ $true,
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
~ $true,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(cn,[status(thm)],[c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP039^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n015.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Tue Sep 29 19:43:33 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running higher-order theorem proving
% 0.23/0.28 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.w6AO1nQIu0/E---3.1_4015904.p
% 0.23/0.33 % Version: 3.5.1-ho
% 0.23/0.33 % Preprocessing class: HSLMSMSSSSLNHFA.
% 0.23/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting lpo8_lambda_fix with 1500s (5) cores
% 0.23/0.33 % Starting full_lambda_9 with 300s (1) cores
% 0.23/0.33 % Starting full_lambda_7 with 300s (1) cores
% 0.23/0.33 % Starting lpo8_s with 300s (1) cores
% 0.23/0.33 % full_lambda_7 with pid 4015947 completed with status 0
% 0.23/0.33 % Result found by full_lambda_7
% 0.23/0.33 % Preprocessing class: HSLMSMSSSSLNHFA.
% 0.23/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting lpo8_lambda_fix with 1500s (5) cores
% 0.23/0.33 % Starting full_lambda_9 with 300s (1) cores
% 0.23/0.33 % Starting full_lambda_7 with 300s (1) cores
% 0.23/0.33 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.23/0.33 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.23/0.33 % Search class: HGHSM-FFMS21-DHFFFSBN
% 0.23/0.33 % partial match(4): HGHSM-FFMS31-SHFSMSBN
% 0.23/0.33 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.33 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.33 % SubtermCWHack with pid 4015953 completed with status 0
% 0.23/0.33 % Result found by SubtermCWHack
% 0.23/0.33 % Preprocessing class: HSLMSMSSSSLNHFA.
% 0.23/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.33 % Starting lpo8_lambda_fix with 1500s (5) cores
% 0.23/0.33 % Starting full_lambda_9 with 300s (1) cores
% 0.23/0.33 % Starting full_lambda_7 with 300s (1) cores
% 0.23/0.33 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.23/0.33 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.23/0.33 % Search class: HGHSM-FFMS21-DHFFFSBN
% 0.23/0.33 % partial match(4): HGHSM-FFMS31-SHFSMSBN
% 0.23/0.33 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.33 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.33 % Preprocessing time : 0.004 s
% 0.23/0.33
% 0.23/0.33 % Proof found!
% 0.23/0.33 % SZS status Theorem
% 0.23/0.33 % SZS output start CNFRefutation
% See solution above
% 0.23/0.33 % Parsed axioms : 507
% 0.23/0.33 % Removed by relevancy pruning/SinE : 428
% 0.23/0.33 % Initial clauses : 112
% 0.23/0.33 % Removed in clause preprocessing : 23
% 0.23/0.33 % Initial clauses in saturation : 89
% 0.23/0.33 % Processed clauses : 1
% 0.23/0.33 % ...of these trivial : 0
% 0.23/0.33 % ...subsumed : 0
% 0.23/0.33 % ...remaining for further processing : 0
% 0.23/0.33 % Other redundant clauses eliminated : 0
% 0.23/0.33 % Clauses deleted for lack of memory : 0
% 0.23/0.33 % Backward-subsumed : 0
% 0.23/0.33 % Backward-rewritten : 0
% 0.23/0.33 % Generated clauses : 0
% 0.23/0.33 % ...of the previous two non-redundant : 0
% 0.23/0.33 % ...aggressively subsumed : 0
% 0.23/0.33 % Contextual simplify-reflections : 0
% 0.23/0.33 % Paramodulations : 0
% 0.23/0.33 % Factorizations : 0
% 0.23/0.33 % NegExts : 0
% 0.23/0.33 % Equation resolutions : 0
% 0.23/0.33 % Disequality decompositions : 0
% 0.23/0.33 % Total rewrite steps : 0
% 0.23/0.33 % ...of those cached : 0
% 0.23/0.33 % Propositional unsat checks : 0
% 0.23/0.33 % Propositional check models : 0
% 0.23/0.33 % Propositional check unsatisfiable : 0
% 0.23/0.33 % Propositional clauses : 0
% 0.23/0.33 % Propositional clauses after purity: 0
% 0.23/0.33 % Propositional unsat core size : 0
% 0.23/0.33 % Propositional preprocessing time : 0.000
% 0.23/0.33 % Propositional encoding time : 0.000
% 0.23/0.33 % Propositional solver time : 0.000
% 0.23/0.33 % Success case prop preproc time : 0.000
% 0.23/0.33 % Success case prop encoding time : 0.000
% 0.23/0.33 % Success case prop solver time : 0.000
% 0.23/0.33 % Current number of processed clauses : 0
% 0.23/0.33 % Positive orientable unit clauses : 0
% 0.23/0.33 % Positive unorientable unit clauses: 0
% 0.23/0.33 % Negative unit clauses : 0
% 0.23/0.33 % Non-unit-clauses : 0
% 0.23/0.33 % Current number of unprocessed clauses: 88
% 0.23/0.33 % ...number of literals in the above : 189
% 0.23/0.33 % Current number of archived formulas : 0
% 0.23/0.33 % Current number of archived clauses : 0
% 0.23/0.33 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.33 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.33 % Non-unit clause-clause subsumptions : 0
% 0.23/0.33 % Unit Clause-clause subsumption calls : 0
% 0.23/0.33 % Rewrite failures with RHS unbound : 0
% 0.23/0.33 % BW rewrite match attempts : 0
% 0.23/0.33 % BW rewrite match successes : 0
% 0.23/0.33 % Condensation attempts : 0
% 0.23/0.33 % Condensation successes : 0
% 0.23/0.33 % Termbank termtop insertions : 16702
% 0.23/0.33 % Search garbage collected termcells : 6942
% 0.23/0.33
% 0.23/0.33 % -------------------------------------------------
% 0.23/0.33 % User time : 0.016 s
% 0.23/0.33 % System time : 0.004 s
% 0.23/0.33 % Total time : 0.020 s
% 0.23/0.33 % Maximum resident set size: 6024 pages
% 0.23/0.33
% 0.23/0.33 % -------------------------------------------------
% 0.23/0.33 % User time : 0.025 s
% 0.23/0.33 % System time : 0.008 s
% 0.23/0.33 % Total time : 0.033 s
% 0.23/0.33 % Maximum resident set size: 6144 pages
% 0.23/0.33 % E exiting
%------------------------------------------------------------------------------