%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP036^1 : 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 : 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 08:04:10 AM UTC 2026
% Result : Theorem 0.59s 0.38s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 129 ( 5 ~; 2 |; 2 &; 120 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
finite1398487019real_c: $tType ).
thf(decl_sort2,type,
set_Sum_sum_c_c: $tType ).
thf(decl_sort3,type,
set_Pr754230471real_c: $tType ).
thf(decl_sort4,type,
produc190496183real_c: $tType ).
thf(decl_sort5,type,
hp_a_b_c: $tType ).
thf(decl_sort6,type,
denota231621370t_unit: $tType ).
thf(decl_sort7,type,
produc640052711real_c: $tType ).
thf(decl_31,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(decl_32,type,
denota904684656_a_b_c: denota231621370t_unit > hp_a_b_c > set_Pr754230471real_c ).
thf(decl_48,type,
sup_su1349021703um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(decl_63,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(decl_64,type,
produc1687028567real_c: produc190496183real_c > produc190496183real_c > produc640052711real_c ).
thf(decl_92,type,
static_MBV_a_b_c: hp_a_b_c > set_Sum_sum_c_c ).
thf(decl_94,type,
choice_a_b_c: hp_a_b_c > hp_a_b_c > hp_a_b_c ).
thf(decl_99,type,
member346808080real_c: produc640052711real_c > set_Pr754230471real_c > $o ).
thf(decl_104,type,
j: denota231621370t_unit ).
thf(decl_105,type,
v: set_Sum_sum_c_c ).
thf(decl_106,type,
mu: produc190496183real_c ).
thf(decl_107,type,
mu2: finite1398487019real_c ).
thf(decl_108,type,
mu3: finite1398487019real_c ).
thf(decl_111,type,
nu_2: finite1398487019real_c ).
thf(decl_112,type,
nu_22: finite1398487019real_c ).
thf(decl_113,type,
a: hp_a_b_c ).
thf(decl_114,type,
b: hp_a_b_c ).
thf(conj_0,conjecture,
? [X868: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X868 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X868 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AQKVhkhjWv/E---3.1_3119052.p',conj_0) ).
thf(fact_3_agree_H,axiom,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ),
file('/export/starexec/sandbox2/tmp/tmp.AQKVhkhjWv/E---3.1_3119052.p',fact_3_agree_H) ).
thf(fact_2_prog__sem_H,axiom,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ),
file('/export/starexec/sandbox2/tmp/tmp.AQKVhkhjWv/E---3.1_3119052.p',fact_2_prog__sem_H) ).
thf(c_0_3,negated_conjecture,
~ ? [X868: produc190496183real_c] :
( ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X868 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
& ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X868 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
! [X2886: produc190496183real_c] :
( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X2886 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X2886 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: produc190496183real_c] :
( ~ ( member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ X1 ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ) )
| ~ ( denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ X1 @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
denota1997846518gree_c @ ( produc394644079real_c @ mu3 @ mu2 ) @ mu @ ( sup_su1349021703um_c_c @ ( static_MBV_a_b_c @ ( choice_a_b_c @ a @ b ) ) @ v ),
inference(split_conjunct,[status(thm)],[fact_3_agree_H]) ).
thf(c_0_7,plain,
member346808080real_c @ ( produc1687028567real_c @ ( produc394644079real_c @ nu_22 @ nu_2 ) @ mu ) @ ( denota904684656_a_b_c @ j @ ( choice_a_b_c @ a @ b ) ),
inference(split_conjunct,[status(thm)],[fact_2_prog__sem_H]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP036^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:39:59 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.21/0.28 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.AQKVhkhjWv/E---3.1_3119052.p
% 0.59/0.38 % Version: 3.5.1-ho
% 0.59/0.38 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.59/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.38 % Starting lpo5_fix with 1500s (5) cores
% 0.59/0.38 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.59/0.38 % Starting post_as_ho8 with 300s (1) cores
% 0.59/0.38 % Starting lpo5_rw_fix with 300s (1) cores
% 0.59/0.38 % lpo5_fix with pid 3119065 completed with status 0
% 0.59/0.38 % Result found by lpo5_fix
% 0.59/0.38 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.59/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.38 % Starting lpo5_fix with 1500s (5) cores
% 0.59/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.38 % No SInE strategy applied
% 0.59/0.38 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.59/0.38 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.38 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.38 % Starting lpo5_fix with 151s (1) cores
% 0.59/0.38 % Starting post_as_ho6 with 136s (1) cores
% 0.59/0.38 % Starting almost_fo_1 with 136s (1) cores
% 0.59/0.38 % Starting lpo6_lambda_fix with 136s (1) cores
% 0.59/0.38 % lpo5_fix with pid 3119073 completed with status 0
% 0.59/0.38 % Result found by lpo5_fix
% 0.59/0.38 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.59/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.38 % Starting lpo5_fix with 1500s (5) cores
% 0.59/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.38 % No SInE strategy applied
% 0.59/0.38 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.59/0.38 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.38 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.38 % Starting lpo5_fix with 151s (1) cores
% 0.59/0.38 % Preprocessing time : 0.010 s
% 0.59/0.38
% 0.59/0.38 % Proof found!
% 0.59/0.38 % SZS status Theorem
% 0.59/0.38 % SZS output start CNFRefutation
% See solution above
% 0.59/0.38 % Parsed axioms : 468
% 0.59/0.38 % Removed by relevancy pruning/SinE : 0
% 0.59/0.38 % Initial clauses : 666
% 0.59/0.38 % Removed in clause preprocessing : 124
% 0.59/0.38 % Initial clauses in saturation : 542
% 0.59/0.38 % Processed clauses : 25
% 0.59/0.38 % ...of these trivial : 4
% 0.59/0.38 % ...subsumed : 0
% 0.59/0.38 % ...remaining for further processing : 21
% 0.59/0.38 % Other redundant clauses eliminated : 0
% 0.59/0.38 % Clauses deleted for lack of memory : 0
% 0.59/0.38 % Backward-subsumed : 0
% 0.59/0.38 % Backward-rewritten : 0
% 0.59/0.38 % Generated clauses : 1
% 0.59/0.38 % ...of the previous two non-redundant : 0
% 0.59/0.38 % ...aggressively subsumed : 0
% 0.59/0.38 % Contextual simplify-reflections : 0
% 0.59/0.38 % Paramodulations : 1
% 0.59/0.38 % Factorizations : 0
% 0.59/0.38 % NegExts : 0
% 0.59/0.38 % Equation resolutions : 0
% 0.59/0.38 % Disequality decompositions : 0
% 0.59/0.38 % Total rewrite steps : 5
% 0.59/0.38 % ...of those cached : 2
% 0.59/0.38 % Propositional unsat checks : 0
% 0.59/0.38 % Propositional check models : 0
% 0.59/0.38 % Propositional check unsatisfiable : 0
% 0.59/0.38 % Propositional clauses : 0
% 0.59/0.38 % Propositional clauses after purity: 0
% 0.59/0.38 % Propositional unsat core size : 0
% 0.59/0.38 % Propositional preprocessing time : 0.000
% 0.59/0.38 % Propositional encoding time : 0.000
% 0.59/0.38 % Propositional solver time : 0.000
% 0.59/0.38 % Success case prop preproc time : 0.000
% 0.59/0.38 % Success case prop encoding time : 0.000
% 0.59/0.38 % Success case prop solver time : 0.000
% 0.59/0.38 % Current number of processed clauses : 21
% 0.59/0.38 % Positive orientable unit clauses : 18
% 0.59/0.38 % Positive unorientable unit clauses: 0
% 0.59/0.38 % Negative unit clauses : 0
% 0.59/0.38 % Non-unit-clauses : 3
% 0.59/0.38 % Current number of unprocessed clauses: 517
% 0.59/0.38 % ...number of literals in the above : 1183
% 0.59/0.38 % Current number of archived formulas : 0
% 0.59/0.38 % Current number of archived clauses : 0
% 0.59/0.38 % Clause-clause subsumption calls (NU) : 6
% 0.59/0.38 % Rec. Clause-clause subsumption calls : 6
% 0.59/0.38 % Non-unit clause-clause subsumptions : 0
% 0.59/0.38 % Unit Clause-clause subsumption calls : 0
% 0.59/0.38 % Rewrite failures with RHS unbound : 0
% 0.59/0.38 % BW rewrite match attempts : 2
% 0.59/0.38 % BW rewrite match successes : 0
% 0.59/0.38 % Condensation attempts : 25
% 0.59/0.38 % Condensation successes : 0
% 0.59/0.38 % Termbank termtop insertions : 44108
% 0.59/0.38 % Search garbage collected termcells : 12137
% 0.59/0.38
% 0.59/0.38 % -------------------------------------------------
% 0.59/0.38 % User time : 0.050 s
% 0.59/0.38 % System time : 0.013 s
% 0.59/0.38 % Total time : 0.063 s
% 0.59/0.38 % Maximum resident set size: 7004 pages
% 0.59/0.38
% 0.59/0.38 % -------------------------------------------------
% 0.59/0.38 % User time : 0.098 s
% 0.59/0.38 % System time : 0.040 s
% 0.59/0.38 % Total time : 0.138 s
% 0.59/0.38 % Maximum resident set size: 5632 pages
% 0.59/0.38 % E exiting
%------------------------------------------------------------------------------