%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP041^1 : 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 : n004.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 0.21s 0.30s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 142 ( 4 ~; 0 |; 2 &; 136 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
finite1398487019real_c: $tType ).
thf(decl_sort2,type,
real: $tType ).
thf(decl_sort3,type,
set_Sum_sum_c_c: $tType ).
thf(decl_sort4,type,
denota231621370t_unit: $tType ).
thf(decl_sort5,type,
oDE_a_c: $tType ).
thf(decl_sort6,type,
produc190496183real_c: $tType ).
thf(decl_32,type,
denota1997846518gree_c: produc190496183real_c > produc190496183real_c > set_Sum_sum_c_c > $o ).
thf(decl_34,type,
denota161327353_a_b_c: denota231621370t_unit > oDE_a_c > produc190496183real_c > finite1398487019real_c > produc190496183real_c ).
thf(decl_35,type,
denota1896987029_a_b_c: denota231621370t_unit > oDE_a_c > finite1398487019real_c > produc190496183real_c ).
thf(decl_36,type,
denota1293057250_a_b_c: denota231621370t_unit > oDE_a_c > set_Sum_sum_c_c ).
thf(decl_54,type,
uminus1381786404um_c_c: set_Sum_sum_c_c > set_Sum_sum_c_c ).
thf(decl_84,type,
produc394644079real_c: finite1398487019real_c > finite1398487019real_c > produc190496183real_c ).
thf(decl_142,type,
j: denota231621370t_unit ).
thf(decl_143,type,
ode: oDE_a_c ).
thf(decl_147,type,
aa: finite1398487019real_c ).
thf(decl_150,type,
ba: finite1398487019real_c ).
thf(decl_152,type,
s: real ).
thf(decl_153,type,
sol: real > finite1398487019real_c ).
thf(conj_0,conjecture,
denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ),
file('/export/starexec/sandbox2/tmp/tmp.aMdsQgE4e7/E---3.1_1740142.p',conj_0) ).
thf(fact_3_mk__v__agree,axiom,
! [X2: denota231621370t_unit,X3: oDE_a_c,X4: produc190496183real_c,X5: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ X2 @ X3 @ X4 @ X5 ) @ X4 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ X2 @ X3 ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ X2 @ X3 @ X4 @ X5 ) @ ( denota1896987029_a_b_c @ X2 @ X3 @ X5 ) @ ( denota1293057250_a_b_c @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aMdsQgE4e7/E---3.1_1740142.p',fact_3_mk__v__agree) ).
thf(c_0_2,negated_conjecture,
~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,negated_conjecture,
~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X1058: denota231621370t_unit,X1059: oDE_a_c,X1060: produc190496183real_c,X1061: finite1398487019real_c] :
( ( denota1997846518gree_c @ ( denota161327353_a_b_c @ X1058 @ X1059 @ X1060 @ X1061 ) @ X1060 @ ( uminus1381786404um_c_c @ ( denota1293057250_a_b_c @ X1058 @ X1059 ) ) )
& ( denota1997846518gree_c @ ( denota161327353_a_b_c @ X1058 @ X1059 @ X1060 @ X1061 ) @ ( denota1896987029_a_b_c @ X1058 @ X1059 @ X1061 ) @ ( denota1293057250_a_b_c @ X1058 @ X1059 ) ) ),
inference(variable_rename,[status(thm)],[fact_3_mk__v__agree]) ).
thf(c_0_6,negated_conjecture,
~ ( denota1997846518gree_c @ ( denota161327353_a_b_c @ j @ ode @ ( produc394644079real_c @ aa @ ba ) @ ( sol @ s ) ) @ ( denota1896987029_a_b_c @ j @ ode @ ( sol @ s ) ) @ ( denota1293057250_a_b_c @ j @ ode ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X4: produc190496183real_c,X5: finite1398487019real_c,X2: denota231621370t_unit,X3: oDE_a_c] : ( denota1997846518gree_c @ ( denota161327353_a_b_c @ X2 @ X3 @ X4 @ X5 ) @ ( denota1896987029_a_b_c @ X2 @ X3 @ X5 ) @ ( denota1293057250_a_b_c @ X2 @ X3 ) ),
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 : ITP041^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n004.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 19:40:22 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.24 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.aMdsQgE4e7/E---3.1_1740142.p
% 0.21/0.30 % Version: 3.5.1-ho
% 0.21/0.30 % Preprocessing class: HSLMSMSMSSLCHFA.
% 0.21/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.30 % Starting new_ho_3 with 1500s (5) cores
% 0.21/0.30 % Starting additional_ho_6 with 300s (1) cores
% 0.21/0.30 % Starting new_bool_9 with 300s (1) cores
% 0.21/0.30 % Starting new_ho_10 with 300s (1) cores
% 0.21/0.30 % new_bool_9 with pid 1740184 completed with status 0
% 0.21/0.30 % Result found by new_bool_9
% 0.21/0.30 % Preprocessing class: HSLMSMSMSSLCHFA.
% 0.21/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.30 % Starting new_ho_3 with 1500s (5) cores
% 0.21/0.30 % Starting additional_ho_6 with 300s (1) cores
% 0.21/0.30 % Starting new_bool_9 with 300s (1) cores
% 0.21/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.21/0.30 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.21/0.30 % Search class: HGHSM-FFMM32-MHFFFFBN
% 0.21/0.30 % partial match(1): HGHSM-FFMM32-MSFFFFBN
% 0.21/0.30 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.30 % SubtermCWHack with pid 1740188 completed with status 0
% 0.21/0.30 % Result found by SubtermCWHack
% 0.21/0.30 % Preprocessing class: HSLMSMSMSSLCHFA.
% 0.21/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.30 % Starting new_ho_3 with 1500s (5) cores
% 0.21/0.30 % Starting additional_ho_6 with 300s (1) cores
% 0.21/0.30 % Starting new_bool_9 with 300s (1) cores
% 0.21/0.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.21/0.30 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.21/0.30 % Search class: HGHSM-FFMM32-MHFFFFBN
% 0.21/0.30 % partial match(1): HGHSM-FFMM32-MSFFFFBN
% 0.21/0.30 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.30 % Starting SubtermCWHack with 31s (1) cores
% 0.21/0.30 % Preprocessing time : 0.004 s
% 0.21/0.30
% 0.21/0.30 % Proof found!
% 0.21/0.30 % SZS status Theorem
% 0.21/0.30 % SZS output start CNFRefutation
% See solution above
% 0.21/0.30 % Parsed axioms : 508
% 0.21/0.30 % Removed by relevancy pruning/SinE : 447
% 0.21/0.30 % Initial clauses : 81
% 0.21/0.30 % Removed in clause preprocessing : 9
% 0.21/0.30 % Initial clauses in saturation : 72
% 0.21/0.30 % Processed clauses : 187
% 0.21/0.30 % ...of these trivial : 12
% 0.21/0.30 % ...subsumed : 80
% 0.21/0.30 % ...remaining for further processing : 94
% 0.21/0.30 % Other redundant clauses eliminated : 21
% 0.21/0.30 % Clauses deleted for lack of memory : 0
% 0.21/0.30 % Backward-subsumed : 0
% 0.21/0.30 % Backward-rewritten : 5
% 0.21/0.30 % Generated clauses : 321
% 0.21/0.30 % ...of the previous two non-redundant : 252
% 0.21/0.30 % ...aggressively subsumed : 0
% 0.21/0.30 % Contextual simplify-reflections : 0
% 0.21/0.30 % Paramodulations : 278
% 0.21/0.30 % Factorizations : 0
% 0.21/0.30 % NegExts : 0
% 0.21/0.30 % Equation resolutions : 25
% 0.21/0.30 % Disequality decompositions : 0
% 0.21/0.30 % Total rewrite steps : 140
% 0.21/0.30 % ...of those cached : 113
% 0.21/0.30 % Propositional unsat checks : 0
% 0.21/0.30 % Propositional check models : 0
% 0.21/0.30 % Propositional check unsatisfiable : 0
% 0.21/0.30 % Propositional clauses : 0
% 0.21/0.30 % Propositional clauses after purity: 0
% 0.21/0.30 % Propositional unsat core size : 0
% 0.21/0.30 % Propositional preprocessing time : 0.000
% 0.21/0.30 % Propositional encoding time : 0.000
% 0.21/0.30 % Propositional solver time : 0.000
% 0.21/0.30 % Success case prop preproc time : 0.000
% 0.21/0.30 % Success case prop encoding time : 0.000
% 0.21/0.30 % Success case prop solver time : 0.000
% 0.21/0.30 % Current number of processed clauses : 78
% 0.21/0.30 % Positive orientable unit clauses : 25
% 0.21/0.30 % Positive unorientable unit clauses: 0
% 0.21/0.30 % Negative unit clauses : 0
% 0.21/0.30 % Non-unit-clauses : 53
% 0.21/0.30 % Current number of unprocessed clauses: 133
% 0.21/0.30 % ...number of literals in the above : 404
% 0.21/0.30 % Current number of archived formulas : 0
% 0.21/0.30 % Current number of archived clauses : 12
% 0.21/0.30 % Clause-clause subsumption calls (NU) : 1280
% 0.21/0.30 % Rec. Clause-clause subsumption calls : 1224
% 0.21/0.30 % Non-unit clause-clause subsumptions : 80
% 0.21/0.30 % Unit Clause-clause subsumption calls : 16
% 0.21/0.30 % Rewrite failures with RHS unbound : 0
% 0.21/0.30 % BW rewrite match attempts : 10
% 0.21/0.30 % BW rewrite match successes : 5
% 0.21/0.30 % Condensation attempts : 0
% 0.21/0.30 % Condensation successes : 0
% 0.21/0.30 % Termbank termtop insertions : 15540
% 0.21/0.30 % Search garbage collected termcells : 5093
% 0.21/0.30
% 0.21/0.30 % -------------------------------------------------
% 0.21/0.30 % User time : 0.021 s
% 0.21/0.30 % System time : 0.007 s
% 0.21/0.30 % Total time : 0.028 s
% 0.21/0.30 % Maximum resident set size: 5036 pages
% 0.21/0.30
% 0.21/0.30 % -------------------------------------------------
% 0.21/0.30 % User time : 0.036 s
% 0.21/0.30 % System time : 0.014 s
% 0.21/0.30 % Total time : 0.050 s
% 0.21/0.30 % Maximum resident set size: 5888 pages
% 0.21/0.30 % E exiting
%------------------------------------------------------------------------------