%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP219^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:04:45 AM UTC 2026
% Result : Theorem 3.16s 3.13s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 3 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 55 ( 7 ~; 3 |; 0 &; 44 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
assn: $tType ).
thf(decl_25,type,
entails: assn > assn > $o ).
thf(decl_239,type,
sup_sup_assn: assn > assn > assn ).
thf(decl_735,type,
bot_bot_assn: assn ).
thf(decl_1177,type,
p: assn ).
thf(decl_1178,type,
q: assn ).
thf(conj_0,conjecture,
entails @ p @ q,
file('/export/starexec/sandbox2/tmp/tmp.mlkb4z98ZD/E---3.1_1295240.p',conj_0) ).
thf(fact_3588_ent__disjI2_H,axiom,
! [X4: assn,X22: assn,X5: assn] :
( ( entails @ X4 @ X22 )
=> ( entails @ X4 @ ( sup_sup_assn @ X5 @ X22 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mlkb4z98ZD/E---3.1_1295240.p',fact_3588_ent__disjI2_H) ).
thf(fact_2585_sup__bot_Oright__neutral,axiom,
! [X13: assn] :
( ( sup_sup_assn @ X13 @ bot_bot_assn )
= X13 ),
file('/export/starexec/sandbox2/tmp/tmp.mlkb4z98ZD/E---3.1_1295240.p',fact_2585_sup__bot_Oright__neutral) ).
thf(fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062,axiom,
entails @ p @ bot_bot_assn,
file('/export/starexec/sandbox2/tmp/tmp.mlkb4z98ZD/E---3.1_1295240.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062) ).
thf(c_0_4,negated_conjecture,
~ ( entails @ p @ q ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,plain,
! [X14336: assn,X14337: assn,X14338: assn] :
( ~ ( entails @ X14336 @ X14337 )
| ( entails @ X14336 @ ( sup_sup_assn @ X14338 @ X14337 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3588_ent__disjI2_H])])]) ).
thf(c_0_6,plain,
! [X14802: assn] :
( ( sup_sup_assn @ X14802 @ bot_bot_assn )
= X14802 ),
inference(variable_rename,[status(thm)],[fact_2585_sup__bot_Oright__neutral]) ).
thf(c_0_7,negated_conjecture,
~ ( entails @ p @ q ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1: assn,X4: assn,X2: assn] :
( ( entails @ X1 @ ( sup_sup_assn @ X4 @ X2 ) )
| ~ ( entails @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: assn] :
( ( sup_sup_assn @ X1 @ bot_bot_assn )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
~ ( entails @ p @ q ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X2: assn,X1: assn] :
( ( entails @ X1 @ X2 )
| ~ ( entails @ X1 @ bot_bot_assn ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,plain,
entails @ p @ bot_bot_assn,
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062]) ).
thf(c_0_13,negated_conjecture,
~ ( entails @ p @ q ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
! [X1: assn] : ( entails @ p @ X1 ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP219^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:19:34 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 2.14/2.28 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.mlkb4z98ZD/E---3.1_1295240.p
% 3.16/3.13 % Version: 3.5.1-ho
% 3.16/3.13 % partial match(2): HMLLSMLLSSLNSFA
% 3.16/3.13 % Preprocessing class: HMLLSMLMSSLNHFA.
% 3.16/3.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.16/3.13 % Starting new_bool_8 with 1200s (4) cores
% 3.16/3.13 % Starting post_as_ho5 with 600s (2) cores
% 3.16/3.13 % Starting new_bool_9 with 300s (1) cores
% 3.16/3.13 % Starting new_bool_3 with 300s (1) cores
% 3.16/3.13 % new_bool_8 with pid 1295254 completed with status 0
% 3.16/3.13 % Result found by new_bool_8
% 3.16/3.13 % partial match(2): HMLLSMLLSSLNSFA
% 3.16/3.13 % Preprocessing class: HMLLSMLMSSLNHFA.
% 3.16/3.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.16/3.13 % Starting new_bool_8 with 1200s (4) cores
% 3.16/3.13 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 3.16/3.13 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 3.16/3.13 % Search class: HGHSM-FSLS31-MHFFFFNN
% 3.16/3.13 % partial match(2): FGHSM-FSLS31-MFFFFFNN
% 3.16/3.13 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 3.16/3.13 % Starting SubtermCWHack with 109s (1) cores
% 3.16/3.13 % Starting new_bool_8 with 121s (1) cores
% 3.16/3.13 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 195s (1) cores
% 3.16/3.13 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S06DI with 109s (1) cores
% 3.16/3.13 % SubtermCWHack with pid 1295258 completed with status 0
% 3.16/3.13 % Result found by SubtermCWHack
% 3.16/3.13 % partial match(2): HMLLSMLLSSLNSFA
% 3.16/3.13 % Preprocessing class: HMLLSMLMSSLNHFA.
% 3.16/3.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.16/3.13 % Starting new_bool_8 with 1200s (4) cores
% 3.16/3.13 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 3.16/3.13 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 3.16/3.13 % Search class: HGHSM-FSLS31-MHFFFFNN
% 3.16/3.13 % partial match(2): FGHSM-FSLS31-MFFFFFNN
% 3.16/3.13 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 3.16/3.13 % Starting SubtermCWHack with 109s (1) cores
% 3.16/3.13 % Preprocessing time : 0.009 s
% 3.16/3.13
% 3.16/3.13 % Proof found!
% 3.16/3.13 % SZS status Theorem
% 3.16/3.13 % SZS output start CNFRefutation
% See solution above
% 3.66/3.13 % Parsed axioms : 7184
% 3.66/3.13 % Removed by relevancy pruning/SinE : 6978
% 3.66/3.13 % Initial clauses : 252
% 3.66/3.13 % Removed in clause preprocessing : 1
% 3.66/3.13 % Initial clauses in saturation : 251
% 3.66/3.13 % Processed clauses : 131
% 3.66/3.13 % ...of these trivial : 27
% 3.66/3.13 % ...subsumed : 43
% 3.66/3.13 % ...remaining for further processing : 61
% 3.66/3.13 % Other redundant clauses eliminated : 17
% 3.66/3.13 % Clauses deleted for lack of memory : 0
% 3.66/3.13 % Backward-subsumed : 0
% 3.66/3.13 % Backward-rewritten : 2
% 3.66/3.13 % Generated clauses : 205
% 3.66/3.13 % ...of the previous two non-redundant : 56
% 3.66/3.13 % ...aggressively subsumed : 0
% 3.66/3.13 % Contextual simplify-reflections : 0
% 3.66/3.13 % Paramodulations : 192
% 3.66/3.13 % Factorizations : 0
% 3.66/3.13 % NegExts : 0
% 3.66/3.13 % Equation resolutions : 17
% 3.66/3.13 % Disequality decompositions : 0
% 3.66/3.13 % Total rewrite steps : 164
% 3.66/3.13 % ...of those cached : 125
% 3.66/3.13 % Propositional unsat checks : 0
% 3.66/3.13 % Propositional check models : 0
% 3.66/3.13 % Propositional check unsatisfiable : 0
% 3.66/3.13 % Propositional clauses : 0
% 3.66/3.13 % Propositional clauses after purity: 0
% 3.66/3.13 % Propositional unsat core size : 0
% 3.66/3.13 % Propositional preprocessing time : 0.000
% 3.66/3.13 % Propositional encoding time : 0.000
% 3.66/3.13 % Propositional solver time : 0.000
% 3.66/3.13 % Success case prop preproc time : 0.000
% 3.66/3.13 % Success case prop encoding time : 0.000
% 3.66/3.13 % Success case prop solver time : 0.000
% 3.66/3.13 % Current number of processed clauses : 52
% 3.66/3.13 % Positive orientable unit clauses : 27
% 3.66/3.13 % Positive unorientable unit clauses: 3
% 3.66/3.13 % Negative unit clauses : 5
% 3.66/3.13 % Non-unit-clauses : 17
% 3.66/3.13 % Current number of unprocessed clauses: 176
% 3.66/3.13 % ...number of literals in the above : 344
% 3.66/3.13 % Current number of archived formulas : 0
% 3.66/3.13 % Current number of archived clauses : 2
% 3.66/3.13 % Clause-clause subsumption calls (NU) : 65
% 3.66/3.13 % Rec. Clause-clause subsumption calls : 65
% 3.66/3.13 % Non-unit clause-clause subsumptions : 33
% 3.66/3.13 % Unit Clause-clause subsumption calls : 21
% 3.66/3.13 % Rewrite failures with RHS unbound : 0
% 3.66/3.13 % BW rewrite match attempts : 38
% 3.66/3.13 % BW rewrite match successes : 24
% 3.66/3.13 % Condensation attempts : 0
% 3.66/3.13 % Condensation successes : 0
% 3.66/3.13 % Termbank termtop insertions : 113024
% 3.66/3.13 % Search garbage collected termcells : 66987
% 3.66/3.13
% 3.66/3.13 % -------------------------------------------------
% 3.66/3.13 % User time : 0.097 s
% 3.66/3.13 % System time : 0.047 s
% 3.66/3.13 % Total time : 0.144 s
% 3.66/3.13 % Maximum resident set size: 22744 pages
% 3.66/3.13
% 3.66/3.13 % -------------------------------------------------
% 3.66/3.13 % User time : 0.775 s
% 3.66/3.13 % System time : 0.137 s
% 3.66/3.13 % Total time : 0.911 s
% 3.66/3.13 % Maximum resident set size: 21248 pages
% 3.66/3.13 % E exiting
%------------------------------------------------------------------------------