%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP055^1 : 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 : n010.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 08:04:13 AM UTC 2026
% Result : Theorem 0.43s 0.38s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 51 ( 6 ~; 2 |; 0 &; 42 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
list_c1059388851t_unit: $tType ).
thf(decl_33,type,
prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o ).
thf(decl_71,type,
ord_less_nat: nat > nat > $o ).
thf(decl_77,type,
fe: nat > list_c1059388851t_unit ).
thf(decl_78,type,
m: nat ).
thf(decl_80,type,
na: nat ).
thf(conj_0,conjecture,
prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ),
file('/export/starexec/sandbox/tmp/tmp.jYnutiMd63/E---3.1_3316609.p',conj_0) ).
thf(fact_2_IA_I1_J,axiom,
( ( ord_less_nat @ m @ na )
=> ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jYnutiMd63/E---3.1_3316609.p',fact_2_IA_I1_J) ).
thf(fact_0__092_060open_062m_A_060_An_092_060close_062,axiom,
ord_less_nat @ m @ na,
file('/export/starexec/sandbox/tmp/tmp.jYnutiMd63/E---3.1_3316609.p',fact_0__092_060open_062m_A_060_An_092_060close_062) ).
thf(c_0_3,negated_conjecture,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
( ~ ( ord_less_nat @ m @ na )
| ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_IA_I1_J])]) ).
thf(c_0_6,negated_conjecture,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
( ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) )
| ~ ( ord_less_nat @ m @ na ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
ord_less_nat @ m @ na,
inference(split_conjunct,[status(thm)],[fact_0__092_060open_062m_A_060_An_092_060close_062]) ).
thf(c_0_9,negated_conjecture,
~ ( prefix1615116500t_unit @ ( fe @ m ) @ ( fe @ na ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP055^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n010.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 19:44:33 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.20/0.28 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.jYnutiMd63/E---3.1_3316609.p
% 0.43/0.38 % Version: 3.5.1-ho
% 0.43/0.38 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.43/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.43/0.38 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.43/0.38 % Starting full_lambda_6 with 300s (1) cores
% 0.43/0.38 % Starting full_lambda_9 with 300s (1) cores
% 0.43/0.38 % full_lambda_9 with pid 3316625 completed with status 0
% 0.43/0.38 % Result found by full_lambda_9
% 0.43/0.38 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.43/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.43/0.38 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.43/0.38 % Starting full_lambda_6 with 300s (1) cores
% 0.43/0.38 % Starting full_lambda_9 with 300s (1) cores
% 0.43/0.38 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.43/0.38 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.43/0.38 % Search class: HGHSM-FSLM31-DHFFFSBN
% 0.43/0.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.38 % Starting SubtermCWHack with 28s (1) cores
% 0.43/0.38 % SubtermCWHack with pid 3316626 completed with status 0
% 0.43/0.38 % Result found by SubtermCWHack
% 0.43/0.38 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.43/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.38 % Starting new_ho_10 with 1500s (5) cores
% 0.43/0.38 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.43/0.38 % Starting full_lambda_6 with 300s (1) cores
% 0.43/0.38 % Starting full_lambda_9 with 300s (1) cores
% 0.43/0.38 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.43/0.38 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.43/0.38 % Search class: HGHSM-FSLM31-DHFFFSBN
% 0.43/0.38 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.38 % Starting SubtermCWHack with 28s (1) cores
% 0.43/0.38 % Preprocessing time : 0.006 s
% 0.43/0.38
% 0.43/0.38 % Proof found!
% 0.43/0.38 % SZS status Theorem
% 0.43/0.38 % SZS output start CNFRefutation
% See solution above
% 0.43/0.38 % Parsed axioms : 414
% 0.43/0.38 % Removed by relevancy pruning/SinE : 148
% 0.43/0.38 % Initial clauses : 524
% 0.43/0.38 % Removed in clause preprocessing : 16
% 0.43/0.38 % Initial clauses in saturation : 508
% 0.43/0.38 % Processed clauses : 462
% 0.43/0.38 % ...of these trivial : 7
% 0.43/0.38 % ...subsumed : 211
% 0.43/0.38 % ...remaining for further processing : 243
% 0.43/0.38 % Other redundant clauses eliminated : 85
% 0.43/0.38 % Clauses deleted for lack of memory : 0
% 0.43/0.38 % Backward-subsumed : 3
% 0.43/0.38 % Backward-rewritten : 0
% 0.43/0.38 % Generated clauses : 761
% 0.43/0.38 % ...of the previous two non-redundant : 526
% 0.43/0.38 % ...aggressively subsumed : 0
% 0.43/0.38 % Contextual simplify-reflections : 0
% 0.43/0.38 % Paramodulations : 668
% 0.43/0.38 % Factorizations : 4
% 0.43/0.38 % NegExts : 0
% 0.43/0.38 % Equation resolutions : 88
% 0.43/0.38 % Disequality decompositions : 0
% 0.43/0.38 % Total rewrite steps : 204
% 0.43/0.38 % ...of those cached : 172
% 0.43/0.38 % Propositional unsat checks : 0
% 0.43/0.38 % Propositional check models : 0
% 0.43/0.38 % Propositional check unsatisfiable : 0
% 0.43/0.38 % Propositional clauses : 0
% 0.43/0.38 % Propositional clauses after purity: 0
% 0.43/0.38 % Propositional unsat core size : 0
% 0.43/0.38 % Propositional preprocessing time : 0.000
% 0.43/0.38 % Propositional encoding time : 0.000
% 0.43/0.38 % Propositional solver time : 0.000
% 0.43/0.38 % Success case prop preproc time : 0.000
% 0.43/0.38 % Success case prop encoding time : 0.000
% 0.43/0.38 % Success case prop solver time : 0.000
% 0.43/0.38 % Current number of processed clauses : 202
% 0.43/0.38 % Positive orientable unit clauses : 37
% 0.43/0.38 % Positive unorientable unit clauses: 0
% 0.43/0.38 % Negative unit clauses : 26
% 0.43/0.38 % Non-unit-clauses : 139
% 0.43/0.38 % Current number of unprocessed clauses: 572
% 0.43/0.38 % ...number of literals in the above : 1759
% 0.43/0.38 % Current number of archived formulas : 0
% 0.43/0.38 % Current number of archived clauses : 3
% 0.43/0.38 % Clause-clause subsumption calls (NU) : 5420
% 0.43/0.38 % Rec. Clause-clause subsumption calls : 4748
% 0.43/0.38 % Non-unit clause-clause subsumptions : 100
% 0.43/0.38 % Unit Clause-clause subsumption calls : 501
% 0.43/0.38 % Rewrite failures with RHS unbound : 0
% 0.43/0.38 % BW rewrite match attempts : 5
% 0.43/0.38 % BW rewrite match successes : 0
% 0.43/0.38 % Condensation attempts : 0
% 0.43/0.38 % Condensation successes : 0
% 0.43/0.38 % Termbank termtop insertions : 56662
% 0.43/0.38 % Search garbage collected termcells : 16676
% 0.43/0.38
% 0.43/0.38 % -------------------------------------------------
% 0.43/0.38 % User time : 0.057 s
% 0.43/0.38 % System time : 0.010 s
% 0.43/0.38 % Total time : 0.067 s
% 0.43/0.38 % Maximum resident set size: 7004 pages
% 0.43/0.38
% 0.43/0.38 % -------------------------------------------------
% 0.43/0.38 % User time : 0.071 s
% 0.43/0.38 % System time : 0.017 s
% 0.43/0.38 % Total time : 0.088 s
% 0.43/0.38 % Maximum resident set size: 5888 pages
% 0.43/0.38 % E exiting
%------------------------------------------------------------------------------