%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU926^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:25:57 AM UTC 2026
% Result : Theorem 0.27s 0.32s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 3 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 0 avg)
% Number of connectives : 59 ( 5 ~; 2 |; 5 &; 41 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 5 ^; 11 !; 3 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
epred1_0: $i > $o ).
thf(decl_24,type,
esk1_1: ( ( $i > $i ) > $o ) > $i > $i ).
thf(decl_25,type,
esk2_1: ( ( $i > $i ) > $o ) > $i ).
thf(cTHM113,conjecture,
! [X1: $i > $o] :
? [X2: ( $i > $i ) > $o] :
! [X3: $i > $i] :
( ( X2 @ X3 )
=> ( ( X2
@ ^ [X4: $i] : ( X3 @ ( X3 @ X4 ) ) )
& ! [X5: $i] :
( ( X1 @ X5 )
=> ( X1 @ ( X3 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pv0h23jH8k/E---3.1_447578.p',cTHM113) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $i > $o] :
? [X2: ( $i > $i ) > $o] :
! [X3: $i > $i] :
( ( X2 @ X3 )
=> ( ( X2
@ ^ [X4: $i] : ( X3 @ ( X3 @ X4 ) ) )
& ! [X5: $i] :
( ( X1 @ X5 )
=> ( X1 @ ( X3 @ X5 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM113]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: $i > $o] :
? [X2: ( $i > $i ) > $o] :
! [X3: $i > $i] :
( ( X2 @ X3 )
=> ( ( X2
@ ^ [Z0: $i] : ( X3 @ ( X3 @ Z0 ) ) )
& ! [X5: $i] :
( ( X1 @ X5 )
=> ( X1 @ ( X3 @ X5 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X11: ( $i > $i ) > $o] :
( ( X11 @ ( esk1_1 @ X11 ) )
& ( ( epred1_0 @ ( esk2_1 @ X11 ) )
| ~ ( X11
@ ^ [Z0: $i] : ( esk1_1 @ X11 @ ( esk1_1 @ X11 @ Z0 ) ) ) )
& ( ~ ( epred1_0 @ ( esk1_1 @ X11 @ ( esk2_1 @ X11 ) ) )
| ~ ( X11
@ ^ [Z0: $i] : ( esk1_1 @ X11 @ ( esk1_1 @ X11 @ Z0 ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X2: ( $i > $i ) > $o] : ( X2 @ ( esk1_1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU926^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n016.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 14:51:04 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 Running higher-order theorem proving
% 0.11/0.29 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.pv0h23jH8k/E---3.1_447578.p
% 0.27/0.32 % Version: 3.5.1-ho
% 0.27/0.32 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.32 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.32 % Starting sh2lt with 1200s (4) cores
% 0.27/0.32 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.32 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.32 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.32 % ehoh_best3_rw with pid 447595 completed with status 0
% 0.27/0.32 % Result found by ehoh_best3_rw
% 0.27/0.32 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.32 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.32 % Starting sh2lt with 1200s (4) cores
% 0.27/0.32 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.32 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.32 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.27/0.32 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.27/0.32 % Search class: HHHNF-FFSF11-MHHFFMBN
% 0.27/0.32 % partial match(2): HGHNF-FFSF11-SHHFFMBN
% 0.27/0.32 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.32 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.32 % SubtermCWHack with pid 447598 completed with status 0
% 0.27/0.32 % Result found by SubtermCWHack
% 0.27/0.32 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.32 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.32 % Starting sh2lt with 1200s (4) cores
% 0.27/0.32 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.32 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.32 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.32 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.27/0.32 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.27/0.32 % Search class: HHHNF-FFSF11-MHHFFMBN
% 0.27/0.32 % partial match(2): HGHNF-FFSF11-SHHFFMBN
% 0.27/0.32 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.32 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.32 % Preprocessing time : 0.002 s
% 0.27/0.32
% 0.27/0.32 % Proof found!
% 0.27/0.32 % SZS status Theorem
% 0.27/0.32 % SZS output start CNFRefutation
% See solution above
% 0.27/0.32 % Parsed axioms : 1
% 0.27/0.32 % Removed by relevancy pruning/SinE : 0
% 0.27/0.32 % Initial clauses : 3
% 0.27/0.32 % Removed in clause preprocessing : 0
% 0.27/0.32 % Initial clauses in saturation : 3
% 0.27/0.32 % Processed clauses : 1
% 0.27/0.32 % ...of these trivial : 0
% 0.27/0.32 % ...subsumed : 0
% 0.27/0.32 % ...remaining for further processing : 0
% 0.27/0.32 % Other redundant clauses eliminated : 0
% 0.27/0.32 % Clauses deleted for lack of memory : 0
% 0.27/0.32 % Backward-subsumed : 0
% 0.27/0.32 % Backward-rewritten : 0
% 0.27/0.32 % Generated clauses : 0
% 0.27/0.32 % ...of the previous two non-redundant : 0
% 0.27/0.32 % ...aggressively subsumed : 0
% 0.27/0.32 % Contextual simplify-reflections : 0
% 0.27/0.32 % Paramodulations : 0
% 0.27/0.32 % Factorizations : 0
% 0.27/0.32 % NegExts : 0
% 0.27/0.32 % Equation resolutions : 0
% 0.27/0.32 % Disequality decompositions : 0
% 0.27/0.32 % Total rewrite steps : 0
% 0.27/0.32 % ...of those cached : 0
% 0.27/0.32 % Propositional unsat checks : 0
% 0.27/0.32 % Propositional check models : 0
% 0.27/0.32 % Propositional check unsatisfiable : 0
% 0.27/0.32 % Propositional clauses : 0
% 0.27/0.32 % Propositional clauses after purity: 0
% 0.27/0.32 % Propositional unsat core size : 0
% 0.27/0.32 % Propositional preprocessing time : 0.000
% 0.27/0.32 % Propositional encoding time : 0.000
% 0.27/0.32 % Propositional solver time : 0.000
% 0.27/0.32 % Success case prop preproc time : 0.000
% 0.27/0.32 % Success case prop encoding time : 0.000
% 0.27/0.32 % Success case prop solver time : 0.000
% 0.27/0.32 % Current number of processed clauses : 0
% 0.27/0.32 % Positive orientable unit clauses : 0
% 0.27/0.32 % Positive unorientable unit clauses: 0
% 0.27/0.32 % Negative unit clauses : 0
% 0.27/0.32 % Non-unit-clauses : 0
% 0.27/0.32 % Current number of unprocessed clauses: 2
% 0.27/0.32 % ...number of literals in the above : 4
% 0.27/0.32 % Current number of archived formulas : 0
% 0.27/0.32 % Current number of archived clauses : 0
% 0.27/0.32 % Clause-clause subsumption calls (NU) : 0
% 0.27/0.32 % Rec. Clause-clause subsumption calls : 0
% 0.27/0.32 % Non-unit clause-clause subsumptions : 0
% 0.27/0.32 % Unit Clause-clause subsumption calls : 0
% 0.27/0.32 % Rewrite failures with RHS unbound : 0
% 0.27/0.32 % BW rewrite match attempts : 0
% 0.27/0.32 % BW rewrite match successes : 0
% 0.27/0.32 % Condensation attempts : 0
% 0.27/0.32 % Condensation successes : 0
% 0.27/0.32 % Termbank termtop insertions : 269
% 0.27/0.32 % Search garbage collected termcells : 111
% 0.27/0.32
% 0.27/0.32 % -------------------------------------------------
% 0.27/0.32 % User time : 0.005 s
% 0.27/0.32 % System time : 0.002 s
% 0.27/0.32 % Total time : 0.006 s
% 0.27/0.32 % Maximum resident set size: 3636 pages
% 0.27/0.32
% 0.27/0.32 % -------------------------------------------------
% 0.27/0.32 % User time : 0.007 s
% 0.27/0.32 % System time : 0.006 s
% 0.27/0.32 % Total time : 0.012 s
% 0.27/0.32 % Maximum resident set size: 4608 pages
% 0.27/0.32 % E exiting
%------------------------------------------------------------------------------