%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP064^1 : 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 : n005.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 08:04:15 AM UTC 2026
% Result : Theorem 0.78s 0.43s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 144 ( 9 ~; 5 |; 1 &; 128 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 2 ^; 16 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
real: $tType ).
thf(decl_sort2,type,
nat: $tType ).
thf(decl_27,type,
genClo1015804716orrect: nat > real > $o ).
thf(decl_33,type,
genClo1163638703lle_te: nat > nat > real ).
thf(decl_37,type,
one_one_nat: nat ).
thf(decl_39,type,
plus_plus_nat: nat > nat > nat ).
thf(decl_46,type,
ord_less_eq_real: real > real > $o ).
thf(decl_48,type,
ord_max_real: real > real > real ).
thf(decl_50,type,
i: nat ).
thf(decl_51,type,
l: nat ).
thf(decl_52,type,
m: nat ).
thf(decl_53,type,
p: nat ).
thf(conj_0,conjecture,
genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ),
file('/export/starexec/sandbox/tmp/tmp.dDOgyfWvA0/E---3.1_2119138.p',conj_0) ).
thf(fact_147_add_Ocommute,axiom,
( plus_plus_nat
= ( ^ [X227: nat,X228: nat] : ( plus_plus_nat @ X228 @ X227 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dDOgyfWvA0/E---3.1_2119138.p',fact_147_add_Ocommute) ).
thf(fact_0_correct__closed,axiom,
! [X1: nat,X2: real,X3: real] :
( ( ( ord_less_eq_real @ X2 @ X3 )
& ( genClo1015804716orrect @ X1 @ X3 ) )
=> ( genClo1015804716orrect @ X1 @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.dDOgyfWvA0/E---3.1_2119138.p',fact_0_correct__closed) ).
thf(fact_3_tml__le__tp,axiom,
ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
file('/export/starexec/sandbox/tmp/tmp.dDOgyfWvA0/E---3.1_2119138.p',fact_3_tml__le__tp) ).
thf(fact_1_corr__m,axiom,
genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
file('/export/starexec/sandbox/tmp/tmp.dDOgyfWvA0/E---3.1_2119138.p',fact_1_corr__m) ).
thf(c_0_5,negated_conjecture,
~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_6,plain,
! [X1338: nat,X1339: nat] :
( ( plus_plus_nat @ X1338 @ X1339 )
= ( plus_plus_nat @ X1339 @ X1338 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_147_add_Ocommute])]) ).
thf(c_0_7,negated_conjecture,
~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X1355: nat,X1356: real,X1357: real] :
( ~ ( ord_less_eq_real @ X1356 @ X1357 )
| ~ ( genClo1015804716orrect @ X1355 @ X1357 )
| ( genClo1015804716orrect @ X1355 @ X1356 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_correct__closed])])]) ).
thf(c_0_9,plain,
! [X1754: nat,X1755: nat] :
( ( plus_plus_nat @ X1754 @ X1755 )
= ( plus_plus_nat @ X1755 @ X1754 ) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: nat,X2: real,X3: real] :
( ( genClo1015804716orrect @ X1 @ X2 )
| ~ ( ord_less_eq_real @ X2 @ X3 )
| ~ ( genClo1015804716orrect @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
ord_less_eq_real @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(split_conjunct,[status(thm)],[fact_3_tml__le__tp]) ).
thf(c_0_13,plain,
! [X5: nat,X1: nat] :
( ( plus_plus_nat @ X1 @ X5 )
= ( plus_plus_nat @ X5 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ),
inference(split_conjunct,[status(thm)],[fact_1_corr__m]) ).
thf(c_0_15,negated_conjecture,
~ ( genClo1015804716orrect @ m @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
! [X1: nat] :
( ( genClo1015804716orrect @ X1 @ ( ord_max_real @ ( genClo1163638703lle_te @ l @ i ) @ ( genClo1163638703lle_te @ m @ i ) ) )
| ~ ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
thf(c_0_17,plain,
genClo1015804716orrect @ m @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ one_one_nat @ i ) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
thf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP064^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n005.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 19:45:16 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.22/0.27 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.dDOgyfWvA0/E---3.1_2119138.p
% 0.78/0.43 % Version: 3.5.1-ho
% 0.78/0.43 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.78/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.43 % Starting new_ho_10 with 1500s (5) cores
% 0.78/0.43 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.78/0.43 % Starting full_lambda_6 with 300s (1) cores
% 0.78/0.43 % Starting full_lambda_9 with 300s (1) cores
% 0.78/0.43 % new_ho_10 with pid 2119151 completed with status 0
% 0.78/0.43 % Result found by new_ho_10
% 0.78/0.43 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.78/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.43 % Starting new_ho_10 with 1500s (5) cores
% 0.78/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.78/0.43 % No SInE strategy applied
% 0.78/0.43 % Search class: HGUSM-FSLM32-DHFFFFBN
% 0.78/0.43 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.43 % Starting SubtermCWHack with 151s (1) cores
% 0.78/0.43 % Starting new_ho_10 with 901s (1) cores
% 0.78/0.43 % Starting sh5l with 151s (1) cores
% 0.78/0.43 % Starting new_bool_1 with 151s (1) cores
% 0.78/0.43 % Starting ehoh_best8_lambda with 146s (1) cores
% 0.78/0.43 % sh5l with pid 2119160 completed with status 0
% 0.78/0.43 % Result found by sh5l
% 0.78/0.43 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.78/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.43 % Starting new_ho_10 with 1500s (5) cores
% 0.78/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.78/0.43 % No SInE strategy applied
% 0.78/0.43 % Search class: HGUSM-FSLM32-DHFFFFBN
% 0.78/0.43 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.43 % Starting SubtermCWHack with 151s (1) cores
% 0.78/0.43 % Starting new_ho_10 with 901s (1) cores
% 0.78/0.43 % Starting sh5l with 151s (1) cores
% 0.78/0.43 % Preprocessing time : 0.011 s
% 0.78/0.43 % Presaturation interreduction done
% 0.78/0.43
% 0.78/0.43 % Proof found!
% 0.78/0.43 % SZS status Theorem
% 0.78/0.43 % SZS output start CNFRefutation
% See solution above
% 0.78/0.43 % Parsed axioms : 392
% 0.78/0.43 % Removed by relevancy pruning/SinE : 0
% 0.78/0.43 % Initial clauses : 653
% 0.78/0.43 % Removed in clause preprocessing : 58
% 0.78/0.43 % Initial clauses in saturation : 595
% 0.78/0.43 % Processed clauses : 884
% 0.78/0.43 % ...of these trivial : 33
% 0.78/0.43 % ...subsumed : 302
% 0.78/0.43 % ...remaining for further processing : 549
% 0.78/0.43 % Other redundant clauses eliminated : 117
% 0.78/0.43 % Clauses deleted for lack of memory : 0
% 0.78/0.43 % Backward-subsumed : 7
% 0.78/0.43 % Backward-rewritten : 3
% 0.78/0.43 % Generated clauses : 1878
% 0.78/0.43 % ...of the previous two non-redundant : 1272
% 0.78/0.43 % ...aggressively subsumed : 0
% 0.78/0.43 % Contextual simplify-reflections : 0
% 0.78/0.43 % Paramodulations : 1750
% 0.78/0.43 % Factorizations : 4
% 0.78/0.43 % NegExts : 0
% 0.78/0.43 % Equation resolutions : 123
% 0.78/0.43 % Disequality decompositions : 0
% 0.78/0.43 % Total rewrite steps : 810
% 0.78/0.43 % ...of those cached : 585
% 0.78/0.43 % Propositional unsat checks : 0
% 0.78/0.43 % Propositional check models : 0
% 0.78/0.43 % Propositional check unsatisfiable : 0
% 0.78/0.43 % Propositional clauses : 0
% 0.78/0.43 % Propositional clauses after purity: 0
% 0.78/0.43 % Propositional unsat core size : 0
% 0.78/0.43 % Propositional preprocessing time : 0.000
% 0.78/0.43 % Propositional encoding time : 0.000
% 0.78/0.43 % Propositional solver time : 0.000
% 0.78/0.43 % Success case prop preproc time : 0.000
% 0.78/0.43 % Success case prop encoding time : 0.000
% 0.78/0.43 % Success case prop solver time : 0.000
% 0.78/0.43 % Current number of processed clauses : 196
% 0.78/0.43 % Positive orientable unit clauses : 70
% 0.78/0.43 % Positive unorientable unit clauses: 6
% 0.78/0.43 % Negative unit clauses : 4
% 0.78/0.43 % Non-unit-clauses : 116
% 0.78/0.43 % Current number of unprocessed clauses: 1251
% 0.78/0.43 % ...number of literals in the above : 2834
% 0.78/0.43 % Current number of archived formulas : 0
% 0.78/0.43 % Current number of archived clauses : 278
% 0.78/0.43 % Clause-clause subsumption calls (NU) : 22643
% 0.78/0.43 % Rec. Clause-clause subsumption calls : 18141
% 0.78/0.43 % Non-unit clause-clause subsumptions : 321
% 0.78/0.43 % Unit Clause-clause subsumption calls : 544
% 0.78/0.43 % Rewrite failures with RHS unbound : 0
% 0.78/0.43 % BW rewrite match attempts : 184
% 0.78/0.43 % BW rewrite match successes : 145
% 0.78/0.43 % Condensation attempts : 884
% 0.78/0.43 % Condensation successes : 24
% 0.78/0.43 % Termbank termtop insertions : 95480
% 0.78/0.43 % Search garbage collected termcells : 10108
% 0.78/0.43
% 0.78/0.43 % -------------------------------------------------
% 0.78/0.43 % User time : 0.108 s
% 0.78/0.43 % System time : 0.020 s
% 0.78/0.43 % Total time : 0.128 s
% 0.78/0.43 % Maximum resident set size: 6352 pages
% 0.78/0.43
% 0.78/0.43 % -------------------------------------------------
% 0.78/0.43 % User time : 0.415 s
% 0.78/0.43 % System time : 0.058 s
% 0.78/0.43 % Total time : 0.473 s
% 0.78/0.43 % Maximum resident set size: 5120 pages
% 0.78/0.43 % E exiting
%------------------------------------------------------------------------------