%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO268^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:42:40 AM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 8 ~; 7 |; 2 &; 61 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 22 !; 8 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_23,type,
r: a > b > $o ).
thf(decl_24,type,
esk1_0: ( b > $o ) > b ).
thf(decl_25,type,
esk2_0: a ).
thf(decl_26,type,
esk3_1: ( a > b ) > a ).
thf(decl_27,type,
esk4_1: a > b ).
thf(decl_28,type,
esk5_0: a > b ).
thf(cX5308,conjecture,
( ? [X1: ( b > $o ) > b] :
! [X2: b > $o] :
( ? [X3: b] : ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ( ! [X4: a] :
? [X5: b] : ( r @ X4 @ X5 )
<=> ? [X6: a > b] :
! [X7: a] : ( r @ X7 @ ( X6 @ X7 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.StIdAlk3wG/E---3.1_1895215.p',cX5308) ).
thf(c_0_1,negated_conjecture,
~ ( ? [X1: ( b > $o ) > b] :
! [X2: b > $o] :
( ? [X3: b] : ( X2 @ X3 )
=> ( X2 @ ( X1 @ X2 ) ) )
=> ( ! [X4: a] :
? [X5: b] : ( r @ X4 @ X5 )
<=> ? [X6: a > b] :
! [X7: a] : ( r @ X7 @ ( X6 @ X7 ) ) ) ),
inference(assume_negation,[status(cth)],[cX5308]) ).
thf(c_0_2,negated_conjecture,
! [X16: b > $o,X17: b,X19: b,X20: a > b,X22: a,X25: a] :
( ( ~ ( X16 @ X17 )
| ( X16 @ ( esk1_0 @ X16 ) ) )
& ( ~ ( r @ esk2_0 @ X19 )
| ~ ( r @ ( esk3_1 @ X20 ) @ ( X20 @ ( esk3_1 @ X20 ) ) ) )
& ( ( r @ X22 @ ( esk4_1 @ X22 ) )
| ( r @ X25 @ ( esk5_0 @ X25 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: b,X6: a > b] :
( ~ ( r @ esk2_0 @ X3 )
| ~ ( r @ ( esk3_1 @ X6 ) @ ( X6 @ ( esk3_1 @ X6 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X4: a,X7: a] :
( ( r @ X4 @ ( esk4_1 @ X4 ) )
| ( r @ X7 @ ( esk5_0 @ X7 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: a,X3: b] :
( ( r @ X4 @ ( esk5_0 @ X4 ) )
| ~ ( r @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X4: a,X7: a] :
( ( r @ X4 @ ( esk5_0 @ X4 ) )
| ( r @ X7 @ ( esk5_0 @ X7 ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X4: a] : ( r @ X4 @ ( esk5_0 @ X4 ) ),
inference(ef,[status(thm)],[c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X3: b] :
~ ( r @ esk2_0 @ X3 ),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_8,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO268^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % 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 16:42:15 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.22 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.StIdAlk3wG/E---3.1_1895215.p
% 0.07/0.24 % Version: 3.5.1-ho
% 0.07/0.24 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.07/0.24 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.24 % Starting sh2lt with 1200s (4) cores
% 0.07/0.24 % Starting new_ho_10_unif with 300s (1) cores
% 0.07/0.24 % Starting full_lambda_6 with 300s (1) cores
% 0.07/0.24 % Starting post_as_ho1 with 300s (1) cores
% 0.07/0.24 % Starting ehoh_best3_rw with 300s (1) cores
% 0.07/0.24 % new_ho_10_unif with pid 1895247 completed with status 0
% 0.07/0.24 % Result found by new_ho_10_unif
% 0.07/0.24 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.07/0.24 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.24 % Starting sh2lt with 1200s (4) cores
% 0.07/0.24 % Starting new_ho_10_unif with 300s (1) cores
% 0.07/0.24 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.24 % No SInE strategy applied
% 0.07/0.24 % Search class: HGHNF-FFSF11-SHHFFSBC
% 0.07/0.24 % partial match(2): HGHNF-FFSF11-SHHFFMBN
% 0.07/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.24 % SubtermCWHack with pid 1895251 completed with status 0
% 0.07/0.24 % Result found by SubtermCWHack
% 0.07/0.24 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.07/0.24 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.24 % Starting sh2lt with 1200s (4) cores
% 0.07/0.24 % Starting new_ho_10_unif with 300s (1) cores
% 0.07/0.24 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.24 % No SInE strategy applied
% 0.07/0.24 % Search class: HGHNF-FFSF11-SHHFFSBC
% 0.07/0.24 % partial match(2): HGHNF-FFSF11-SHHFFMBN
% 0.07/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.07/0.24 % Preprocessing time : 0.001 s
% 0.07/0.24
% 0.07/0.24 % Proof found!
% 0.07/0.24 % SZS status Theorem
% 0.07/0.24 % SZS output start CNFRefutation
% See solution above
% 0.07/0.24 % Parsed axioms : 4
% 0.07/0.24 % Removed by relevancy pruning/SinE : 0
% 0.07/0.24 % Initial clauses : 6
% 0.07/0.24 % Removed in clause preprocessing : 3
% 0.07/0.24 % Initial clauses in saturation : 3
% 0.07/0.24 % Processed clauses : 9
% 0.07/0.24 % ...of these trivial : 0
% 0.07/0.24 % ...subsumed : 1
% 0.07/0.24 % ...remaining for further processing : 8
% 0.07/0.24 % Other redundant clauses eliminated : 0
% 0.07/0.24 % Clauses deleted for lack of memory : 0
% 0.07/0.24 % Backward-subsumed : 4
% 0.07/0.24 % Backward-rewritten : 1
% 0.07/0.24 % Generated clauses : 20
% 0.07/0.24 % ...of the previous two non-redundant : 19
% 0.07/0.24 % ...aggressively subsumed : 0
% 0.07/0.24 % Contextual simplify-reflections : 0
% 0.07/0.24 % Paramodulations : 18
% 0.07/0.24 % Factorizations : 2
% 0.07/0.24 % NegExts : 0
% 0.07/0.24 % Equation resolutions : 0
% 0.07/0.24 % Disequality decompositions : 0
% 0.07/0.24 % Total rewrite steps : 1
% 0.07/0.24 % ...of those cached : 0
% 0.07/0.24 % Propositional unsat checks : 0
% 0.07/0.24 % Propositional check models : 0
% 0.07/0.24 % Propositional check unsatisfiable : 0
% 0.07/0.24 % Propositional clauses : 0
% 0.07/0.24 % Propositional clauses after purity: 0
% 0.07/0.24 % Propositional unsat core size : 0
% 0.07/0.24 % Propositional preprocessing time : 0.000
% 0.07/0.24 % Propositional encoding time : 0.000
% 0.07/0.24 % Propositional solver time : 0.000
% 0.07/0.24 % Success case prop preproc time : 0.000
% 0.07/0.24 % Success case prop encoding time : 0.000
% 0.07/0.24 % Success case prop solver time : 0.000
% 0.07/0.24 % Current number of processed clauses : 3
% 0.07/0.24 % Positive orientable unit clauses : 1
% 0.07/0.24 % Positive unorientable unit clauses: 0
% 0.07/0.24 % Negative unit clauses : 1
% 0.07/0.24 % Non-unit-clauses : 1
% 0.07/0.24 % Current number of unprocessed clauses: 13
% 0.07/0.24 % ...number of literals in the above : 23
% 0.07/0.24 % Current number of archived formulas : 0
% 0.07/0.24 % Current number of archived clauses : 5
% 0.07/0.24 % Clause-clause subsumption calls (NU) : 1
% 0.07/0.24 % Rec. Clause-clause subsumption calls : 1
% 0.07/0.24 % Non-unit clause-clause subsumptions : 1
% 0.07/0.24 % Unit Clause-clause subsumption calls : 4
% 0.07/0.24 % Rewrite failures with RHS unbound : 0
% 0.07/0.24 % BW rewrite match attempts : 2
% 0.07/0.24 % BW rewrite match successes : 2
% 0.07/0.24 % Condensation attempts : 0
% 0.07/0.24 % Condensation successes : 0
% 0.07/0.24 % Termbank termtop insertions : 650
% 0.07/0.24 % Search garbage collected termcells : 164
% 0.07/0.24
% 0.07/0.24 % -------------------------------------------------
% 0.07/0.24 % User time : 0.002 s
% 0.07/0.24 % System time : 0.003 s
% 0.07/0.24 % Total time : 0.004 s
% 0.07/0.24 % Maximum resident set size: 3640 pages
% 0.07/0.24
% 0.07/0.24 % -------------------------------------------------
% 0.07/0.24 % User time : 0.003 s
% 0.07/0.24 % System time : 0.008 s
% 0.07/0.24 % Total time : 0.010 s
% 0.07/0.24 % Maximum resident set size: 4608 pages
% 0.07/0.24 % E exiting
%------------------------------------------------------------------------------