%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP114^1 : 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 : n012.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 08:05:34 AM UTC 2026
% Result : Theorem 0.08s 0.17s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 36 ( 4 ~; 0 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 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 : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
extended_ereal: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_50,type,
ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).
thf(decl_85,type,
f: a > extended_ereal ).
thf(decl_86,type,
g: a > extended_ereal ).
thf(decl_87,type,
x: a ).
thf(conj_0,conjecture,
ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ),
file('/export/starexec/sandbox/tmp/tmp.Zlf9F4JBvv/E---3.1_606446.p',conj_0) ).
thf(fact_0_assms,axiom,
! [X1: a] : ( ord_le824540014_ereal @ ( g @ X1 ) @ ( f @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.Zlf9F4JBvv/E---3.1_606446.p',fact_0_assms) ).
thf(c_0_2,negated_conjecture,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_3,negated_conjecture,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
! [X810: a] : ( ord_le824540014_ereal @ ( g @ X810 ) @ ( f @ X810 ) ),
inference(variable_rename,[status(thm)],[fact_0_assms]) ).
thf(c_0_6,negated_conjecture,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: a] : ( ord_le824540014_ereal @ ( g @ X1 ) @ ( f @ X1 ) ),
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
% 0.00/0.01 % Problem : ITP114^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:55:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.15 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.Zlf9F4JBvv/E---3.1_606446.p
% 0.08/0.17 % Version: 3.5.1-ho
% 0.08/0.17 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.08/0.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.17 % Starting lpo5_fix with 1500s (5) cores
% 0.08/0.17 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.08/0.17 % Starting post_as_ho8 with 300s (1) cores
% 0.08/0.17 % Starting lpo5_rw_fix with 300s (1) cores
% 0.08/0.17 % post_as_ho8 with pid 606461 completed with status 0
% 0.08/0.17 % Result found by post_as_ho8
% 0.08/0.17 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.08/0.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.17 % Starting lpo5_fix with 1500s (5) cores
% 0.08/0.17 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.08/0.17 % Starting post_as_ho8 with 300s (1) cores
% 0.08/0.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 0.08/0.17 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.08/0.17 % Search class: HGUSM-FFMF32-SHFFFFBN
% 0.08/0.17 % partial match(2): HGUSM-FFMF32-SHFFMSBN
% 0.08/0.17 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.17 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.17 % SubtermCWHack with pid 606463 completed with status 0
% 0.08/0.17 % Result found by SubtermCWHack
% 0.08/0.17 % Preprocessing class: HSLSSMSMSSSCHFA.
% 0.08/0.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.17 % Starting lpo5_fix with 1500s (5) cores
% 0.08/0.17 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.08/0.17 % Starting post_as_ho8 with 300s (1) cores
% 0.08/0.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true))
% 0.08/0.17 % SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.08/0.17 % Search class: HGUSM-FFMF32-SHFFFFBN
% 0.08/0.17 % partial match(2): HGUSM-FFMF32-SHFFMSBN
% 0.08/0.17 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.17 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.17 % Preprocessing time : 0.002 s
% 0.08/0.17
% 0.08/0.17 % Proof found!
% 0.08/0.17 % SZS status Theorem
% 0.08/0.17 % SZS output start CNFRefutation
% See solution above
% 0.08/0.17 % Parsed axioms : 424
% 0.08/0.17 % Removed by relevancy pruning/SinE : 396
% 0.08/0.17 % Initial clauses : 105
% 0.08/0.17 % Removed in clause preprocessing : 3
% 0.08/0.17 % Initial clauses in saturation : 102
% 0.08/0.17 % Processed clauses : 4
% 0.08/0.17 % ...of these trivial : 1
% 0.08/0.17 % ...subsumed : 0
% 0.08/0.17 % ...remaining for further processing : 2
% 0.08/0.17 % Other redundant clauses eliminated : 0
% 0.08/0.17 % Clauses deleted for lack of memory : 0
% 0.08/0.17 % Backward-subsumed : 0
% 0.08/0.17 % Backward-rewritten : 0
% 0.08/0.17 % Generated clauses : 0
% 0.08/0.17 % ...of the previous two non-redundant : 0
% 0.08/0.17 % ...aggressively subsumed : 0
% 0.08/0.17 % Contextual simplify-reflections : 0
% 0.08/0.17 % Paramodulations : 0
% 0.08/0.17 % Factorizations : 0
% 0.08/0.17 % NegExts : 0
% 0.08/0.17 % Equation resolutions : 0
% 0.08/0.17 % Disequality decompositions : 0
% 0.08/0.17 % Total rewrite steps : 2
% 0.08/0.17 % ...of those cached : 0
% 0.08/0.17 % Propositional unsat checks : 0
% 0.08/0.17 % Propositional check models : 0
% 0.08/0.17 % Propositional check unsatisfiable : 0
% 0.08/0.17 % Propositional clauses : 0
% 0.08/0.17 % Propositional clauses after purity: 0
% 0.08/0.17 % Propositional unsat core size : 0
% 0.08/0.17 % Propositional preprocessing time : 0.000
% 0.08/0.17 % Propositional encoding time : 0.000
% 0.08/0.17 % Propositional solver time : 0.000
% 0.08/0.17 % Success case prop preproc time : 0.000
% 0.08/0.17 % Success case prop encoding time : 0.000
% 0.08/0.17 % Success case prop solver time : 0.000
% 0.08/0.17 % Current number of processed clauses : 2
% 0.08/0.17 % Positive orientable unit clauses : 2
% 0.08/0.17 % Positive unorientable unit clauses: 0
% 0.08/0.17 % Negative unit clauses : 0
% 0.08/0.17 % Non-unit-clauses : 0
% 0.08/0.17 % Current number of unprocessed clauses: 98
% 0.08/0.17 % ...number of literals in the above : 385
% 0.08/0.17 % Current number of archived formulas : 0
% 0.08/0.17 % Current number of archived clauses : 0
% 0.08/0.17 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.17 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.17 % Non-unit clause-clause subsumptions : 0
% 0.08/0.17 % Unit Clause-clause subsumption calls : 0
% 0.08/0.17 % Rewrite failures with RHS unbound : 0
% 0.08/0.17 % BW rewrite match attempts : 0
% 0.08/0.17 % BW rewrite match successes : 0
% 0.08/0.17 % Condensation attempts : 0
% 0.08/0.17 % Condensation successes : 0
% 0.08/0.17 % Termbank termtop insertions : 10950
% 0.08/0.17 % Search garbage collected termcells : 4896
% 0.08/0.17
% 0.08/0.17 % -------------------------------------------------
% 0.08/0.17 % User time : 0.005 s
% 0.08/0.17 % System time : 0.003 s
% 0.08/0.17 % Total time : 0.008 s
% 0.08/0.17 % Maximum resident set size: 5124 pages
% 0.08/0.17
% 0.08/0.17 % -------------------------------------------------
% 0.08/0.17 % User time : 0.013 s
% 0.08/0.17 % System time : 0.005 s
% 0.08/0.17 % Total time : 0.018 s
% 0.08/0.17 % Maximum resident set size: 5888 pages
% 0.08/0.17 % E exiting
%------------------------------------------------------------------------------