%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL726^5 : 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 : n007.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 08:13:05 AM UTC 2026
% Result : Theorem 0.25s 0.34s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 88 ( 8 ~; 6 |; 3 &; 61 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 22 !; 8 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_1: ( ( a > $o ) > $o ) > a > $o ).
thf(decl_24,type,
esk1_1: ( ( a > $o ) > $o ) > ( a > $o ) > a ).
thf(decl_25,type,
epred2_0: ( ( a > $o ) > a ) > a > $o ).
thf(decl_26,type,
esk2_1: ( ( a > $o ) > a ) > a ).
thf(decl_27,type,
esk3_0: ( a > $o ) > a ).
thf(cTHM534,conjecture,
( ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
=> ? [X4: ( a > $o ) > a] :
! [X2: a > $o] :
( ( X1 @ X2 )
=> ( X2 @ ( X4 @ X2 ) ) ) )
=> ! [X5: ( ( a > $o ) > a ) > a > $o] :
( ! [X6: ( a > $o ) > a] :
? [X7: a] : ( X5 @ X6 @ X7 )
=> ? [X4: ( a > $o ) > a] : ( X5 @ X4 @ ( X4 @ ( X5 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VoIFuKD9x9/E---3.1_3153761.p',cTHM534) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ? [X3: a] : ( X2 @ X3 ) )
=> ? [X4: ( a > $o ) > a] :
! [X2: a > $o] :
( ( X1 @ X2 )
=> ( X2 @ ( X4 @ X2 ) ) ) )
=> ! [X5: ( ( a > $o ) > a ) > a > $o] :
( ! [X6: ( a > $o ) > a] :
? [X7: a] : ( X5 @ X6 @ X7 )
=> ? [X4: ( a > $o ) > a] : ( X5 @ X4 @ ( X4 @ ( X5 @ X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM534]) ).
thf(c_0_2,negated_conjecture,
! [X17: ( a > $o ) > $o,X19: a,X21: a > $o,X23: ( a > $o ) > a,X25: ( a > $o ) > a] :
( ( ( X17 @ ( epred1_1 @ X17 ) )
| ~ ( X17 @ X21 )
| ( X21 @ ( esk1_1 @ X17 @ X21 ) ) )
& ( ~ ( epred1_1 @ X17 @ X19 )
| ~ ( X17 @ X21 )
| ( X21 @ ( esk1_1 @ X17 @ X21 ) ) )
& ( epred2_0 @ X23 @ ( esk2_1 @ X23 ) )
& ~ ( epred2_0 @ X25 @ ( X25 @ ( epred2_0 @ X25 ) ) ) ),
inference(distribute,[status(thm)],[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,
! [X4: ( a > $o ) > a] :
~ ( epred2_0 @ X4 @ ( X4 @ ( epred2_0 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
! [X26: a > $o,X27: a] :
( ( X26 @ ( esk3_0 @ X26 ) )
| ~ ( X26 @ X27 ) ),
inference(introduce_choice_axiom,[status(thm)],[]) ).
thf(c_0_5,negated_conjecture,
! [X4: ( a > $o ) > a,X3: a] :
( ( epred2_0 @ X4 @ ( esk3_0 @ ( epred2_0 @ X4 ) ) )
| ~ ( epred2_0 @ X4 @ X3 ) ),
inference(choice_inst,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X4: ( a > $o ) > a] : ( epred2_0 @ X4 @ ( esk2_1 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X4: ( a > $o ) > a] : ( epred2_0 @ X4 @ ( esk3_0 @ ( epred2_0 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_3,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL726^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n007.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 09:56:25 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running higher-order theorem proving
% 0.25/0.31 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.VoIFuKD9x9/E---3.1_3153761.p
% 0.25/0.34 % Version: 3.5.1-ho
% 0.25/0.34 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.25/0.34 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.34 % Starting sh2lt with 1200s (4) cores
% 0.25/0.34 % Starting new_ho_10_unif with 300s (1) cores
% 0.25/0.34 % Starting full_lambda_6 with 300s (1) cores
% 0.25/0.34 % Starting post_as_ho1 with 300s (1) cores
% 0.25/0.34 % Starting ehoh_best3_rw with 300s (1) cores
% 0.25/0.34 % sh2lt with pid 3153774 completed with status 0
% 0.25/0.34 % Result found by sh2lt
% 0.25/0.34 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.25/0.34 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.34 % Starting sh2lt with 1200s (4) cores
% 0.25/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.25/0.34 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.25/0.34 % Search class: HGUNF-FFSF11-SHHFFMBN
% 0.25/0.34 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.25/0.34 % Starting SubtermCWHack with 109s (1) cores
% 0.25/0.34 % Starting sh2lt with 121s (1) cores
% 0.25/0.34 % Starting ehoh_best_sine_rwall with 109s (1) cores
% 0.25/0.34 % Starting sh5l with 109s (1) cores
% 0.25/0.34 % sh2lt with pid 3153780 completed with status 0
% 0.25/0.34 % Result found by sh2lt
% 0.25/0.34 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.25/0.34 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.34 % Starting sh2lt with 1200s (4) cores
% 0.25/0.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.25/0.34 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.25/0.34 % Search class: HGUNF-FFSF11-SHHFFMBN
% 0.25/0.34 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.25/0.34 % Starting SubtermCWHack with 109s (1) cores
% 0.25/0.34 % Starting sh2lt with 121s (1) cores
% 0.25/0.34 % Preprocessing time : 0.001 s
% 0.25/0.34 % Presaturation interreduction done
% 0.25/0.34
% 0.25/0.34 % Proof found!
% 0.25/0.34 % SZS status Theorem
% 0.25/0.34 % SZS output start CNFRefutation
% See solution above
% 0.25/0.34 % Parsed axioms : 2
% 0.25/0.34 % Removed by relevancy pruning/SinE : 1
% 0.25/0.34 % Initial clauses : 4
% 0.25/0.34 % Removed in clause preprocessing : 0
% 0.25/0.34 % Initial clauses in saturation : 4
% 0.25/0.34 % Processed clauses : 8
% 0.25/0.34 % ...of these trivial : 0
% 0.25/0.34 % ...subsumed : 0
% 0.25/0.34 % ...remaining for further processing : 8
% 0.25/0.34 % Other redundant clauses eliminated : 0
% 0.25/0.34 % Clauses deleted for lack of memory : 0
% 0.25/0.34 % Backward-subsumed : 0
% 0.25/0.34 % Backward-rewritten : 1
% 0.25/0.34 % Generated clauses : 4
% 0.25/0.34 % ...of the previous two non-redundant : 3
% 0.25/0.34 % ...aggressively subsumed : 0
% 0.25/0.34 % Contextual simplify-reflections : 0
% 0.25/0.34 % Paramodulations : 2
% 0.25/0.34 % Factorizations : 0
% 0.25/0.34 % NegExts : 0
% 0.25/0.34 % Equation resolutions : 0
% 0.25/0.34 % Disequality decompositions : 0
% 0.25/0.34 % Total rewrite steps : 1
% 0.25/0.34 % ...of those cached : 0
% 0.25/0.34 % Propositional unsat checks : 0
% 0.25/0.34 % Propositional check models : 0
% 0.25/0.34 % Propositional check unsatisfiable : 0
% 0.25/0.34 % Propositional clauses : 0
% 0.25/0.34 % Propositional clauses after purity: 0
% 0.25/0.34 % Propositional unsat core size : 0
% 0.25/0.34 % Propositional preprocessing time : 0.000
% 0.25/0.34 % Propositional encoding time : 0.000
% 0.25/0.34 % Propositional solver time : 0.000
% 0.25/0.34 % Success case prop preproc time : 0.000
% 0.25/0.34 % Success case prop encoding time : 0.000
% 0.25/0.34 % Success case prop solver time : 0.000
% 0.25/0.34 % Current number of processed clauses : 3
% 0.25/0.34 % Positive orientable unit clauses : 2
% 0.25/0.34 % Positive unorientable unit clauses: 0
% 0.25/0.34 % Negative unit clauses : 1
% 0.25/0.34 % Non-unit-clauses : 0
% 0.25/0.34 % Current number of unprocessed clauses: 3
% 0.25/0.34 % ...number of literals in the above : 8
% 0.25/0.34 % Current number of archived formulas : 0
% 0.25/0.34 % Current number of archived clauses : 6
% 0.25/0.34 % Clause-clause subsumption calls (NU) : 1
% 0.25/0.34 % Rec. Clause-clause subsumption calls : 1
% 0.25/0.34 % Non-unit clause-clause subsumptions : 0
% 0.25/0.34 % Unit Clause-clause subsumption calls : 0
% 0.25/0.34 % Rewrite failures with RHS unbound : 0
% 0.25/0.34 % BW rewrite match attempts : 1
% 0.25/0.34 % BW rewrite match successes : 1
% 0.25/0.34 % Condensation attempts : 0
% 0.25/0.34 % Condensation successes : 0
% 0.25/0.34 % Termbank termtop insertions : 707
% 0.25/0.34 % Search garbage collected termcells : 201
% 0.25/0.34
% 0.25/0.34 % -------------------------------------------------
% 0.25/0.34 % User time : 0.005 s
% 0.25/0.34 % System time : 0.002 s
% 0.25/0.34 % Total time : 0.007 s
% 0.25/0.34 % Maximum resident set size: 3640 pages
% 0.25/0.34
% 0.25/0.34 % -------------------------------------------------
% 0.25/0.34 % User time : 0.009 s
% 0.25/0.34 % System time : 0.016 s
% 0.25/0.34 % Total time : 0.025 s
% 0.25/0.34 % Maximum resident set size: 4864 pages
% 0.25/0.34 % E exiting
%------------------------------------------------------------------------------