%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP214^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:05:52 AM UTC 2026
% Result : Theorem 51.46s 22.58s
% Output : CNFRefutation 51.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 84 ( 4 ~; 0 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc3658429121746597890et_nat: $tType ).
thf(decl_sort2,type,
assn: $tType ).
thf(decl_sort3,type,
heap_e7401611519738050253t_unit: $tType ).
thf(decl_sort4,type,
set_nat: $tType ).
thf(decl_sort5,type,
b: $tType ).
thf(decl_44,type,
rep_assn: assn > produc3658429121746597890et_nat > $o ).
thf(decl_579,type,
hoare_new_addrs: heap_e7401611519738050253t_unit > set_nat > heap_e7401611519738050253t_unit > set_nat ).
thf(decl_1253,type,
produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).
thf(decl_1665,type,
q: b > assn ).
thf(decl_1667,type,
as: set_nat ).
thf(decl_1670,type,
h: heap_e7401611519738050253t_unit ).
thf(decl_1671,type,
h2: heap_e7401611519738050253t_unit ).
thf(decl_1672,type,
h3: heap_e7401611519738050253t_unit ).
thf(decl_1674,type,
rg: b ).
thf(conj_0,conjecture,
rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ),
file('/export/starexec/sandbox/tmp/tmp.8XLYSZEpTC/E---3.1_1763884.p',conj_0) ).
thf(fact_3_POST__G,axiom,
rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h ) ),
file('/export/starexec/sandbox/tmp/tmp.8XLYSZEpTC/E---3.1_1763884.p',fact_3_POST__G) ).
thf(fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062,axiom,
( ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h )
= ( hoare_new_addrs @ h3 @ as @ h ) ),
file('/export/starexec/sandbox/tmp/tmp.8XLYSZEpTC/E---3.1_1763884.p',fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062) ).
thf(c_0_3,negated_conjecture,
~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h ) ),
inference(split_conjunct,[status(thm)],[fact_3_POST__G]) ).
thf(c_0_7,plain,
( ( hoare_new_addrs @ h2 @ ( hoare_new_addrs @ h3 @ as @ h2 ) @ h )
= ( hoare_new_addrs @ h3 @ as @ h ) ),
inference(split_conjunct,[status(thm)],[fact_0__092_060open_062new__addrs_Ah_H_A_Inew__addrs_Ah_Aas_Ah_H_J_Ah_H_H_A_061_Anew__addrs_Ah_Aas_Ah_H_H_092_060close_062]) ).
thf(c_0_8,negated_conjecture,
~ ( rep_assn @ ( q @ rg ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h3 @ as @ h ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP214^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:21:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 5.82/6.03 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.8XLYSZEpTC/E---3.1_1763884.p
% 51.46/22.58 % Version: 3.5.1-ho
% 51.46/22.58 % partial match(2): HMLMSMSMSSLCHFA
% 51.46/22.58 % Preprocessing class: HMLLSMLMSSLCHFA.
% 51.46/22.58 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 51.46/22.58 % Starting new_ho_10 with 1495s (5) cores
% 51.46/22.58 % Starting sh5l with 299s (1) cores
% 51.46/22.58 % Starting new_bool_1 with 299s (1) cores
% 51.46/22.58 % Starting new_bool_2 with 299s (1) cores
% 51.46/22.58 % new_bool_1 with pid 1764099 completed with status 0
% 51.46/22.58 % Result found by new_bool_1
% 51.46/22.58 % partial match(2): HMLMSMSMSSLCHFA
% 51.46/22.58 % Preprocessing class: HMLLSMLMSSLCHFA.
% 51.46/22.58 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 51.46/22.58 % Starting new_ho_10 with 1495s (5) cores
% 51.46/22.58 % Starting sh5l with 299s (1) cores
% 51.46/22.58 % Starting new_bool_1 with 299s (1) cores
% 51.46/22.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 51.46/22.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 51.46/22.58 % Search class: HGHSM-SMLM32-DHFFFSBN
% 51.46/22.58 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 51.46/22.58 % Starting SubtermCWHack with 30s (1) cores
% 51.46/22.58 % SubtermCWHack with pid 1764108 completed with status 0
% 51.46/22.58 % Result found by SubtermCWHack
% 51.46/22.58 % partial match(2): HMLMSMSMSSLCHFA
% 51.46/22.58 % Preprocessing class: HMLLSMLMSSLCHFA.
% 51.46/22.58 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 51.46/22.58 % Starting new_ho_10 with 1495s (5) cores
% 51.46/22.58 % Starting sh5l with 299s (1) cores
% 51.46/22.58 % Starting new_bool_1 with 299s (1) cores
% 51.46/22.58 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 51.46/22.58 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 51.46/22.58 % Search class: HGHSM-SMLM32-DHFFFSBN
% 51.46/22.58 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 51.46/22.58 % Starting SubtermCWHack with 30s (1) cores
% 51.46/22.58 % Preprocessing time : 0.115 s
% 51.46/22.58
% 51.46/22.58 % Proof found!
% 51.46/22.58 % SZS status Theorem
% 51.46/22.58 % SZS output start CNFRefutation
% See solution above
% 51.46/22.58 % Parsed axioms : 12112
% 51.46/22.58 % Removed by relevancy pruning/SinE : 10054
% 51.46/22.58 % Initial clauses : 3801
% 51.46/22.58 % Removed in clause preprocessing : 174
% 51.46/22.58 % Initial clauses in saturation : 3627
% 51.46/22.58 % Processed clauses : 27522
% 51.46/22.58 % ...of these trivial : 6804
% 51.46/22.58 % ...subsumed : 11821
% 51.46/22.58 % ...remaining for further processing : 8896
% 51.46/22.58 % Other redundant clauses eliminated : 1393
% 51.46/22.58 % Clauses deleted for lack of memory : 0
% 51.46/22.58 % Backward-subsumed : 446
% 51.46/22.58 % Backward-rewritten : 622
% 51.46/22.58 % Generated clauses : 306513
% 51.46/22.58 % ...of the previous two non-redundant : 262116
% 51.46/22.58 % ...aggressively subsumed : 0
% 51.46/22.58 % Contextual simplify-reflections : 17
% 51.46/22.58 % Paramodulations : 304977
% 51.46/22.58 % Factorizations : 26
% 51.46/22.58 % NegExts : 0
% 51.46/22.58 % Equation resolutions : 1425
% 51.46/22.58 % Disequality decompositions : 0
% 51.46/22.58 % Total rewrite steps : 72544
% 51.46/22.58 % ...of those cached : 54872
% 51.46/22.58 % Propositional unsat checks : 0
% 51.46/22.58 % Propositional check models : 0
% 51.46/22.58 % Propositional check unsatisfiable : 0
% 51.46/22.58 % Propositional clauses : 0
% 51.46/22.58 % Propositional clauses after purity: 0
% 51.46/22.58 % Propositional unsat core size : 0
% 51.46/22.58 % Propositional preprocessing time : 0.000
% 51.46/22.58 % Propositional encoding time : 0.000
% 51.46/22.58 % Propositional solver time : 0.000
% 51.46/22.58 % Success case prop preproc time : 0.000
% 51.46/22.58 % Success case prop encoding time : 0.000
% 51.46/22.58 % Success case prop solver time : 0.000
% 51.46/22.58 % Current number of processed clauses : 7612
% 51.46/22.58 % Positive orientable unit clauses : 3406
% 51.46/22.58 % Positive unorientable unit clauses: 20
% 51.46/22.58 % Negative unit clauses : 2305
% 51.46/22.58 % Non-unit-clauses : 1881
% 51.46/22.58 % Current number of unprocessed clauses: 236432
% 51.46/22.58 % ...number of literals in the above : 450754
% 51.46/22.58 % Current number of archived formulas : 0
% 51.46/22.58 % Current number of archived clauses : 1070
% 51.46/22.58 % Clause-clause subsumption calls (NU) : 666123
% 51.46/22.58 % Rec. Clause-clause subsumption calls : 447907
% 51.46/22.58 % Non-unit clause-clause subsumptions : 2431
% 51.46/22.58 % Unit Clause-clause subsumption calls : 1794407
% 51.46/22.58 % Rewrite failures with RHS unbound : 0
% 51.46/22.58 % BW rewrite match attempts : 41474
% 51.46/22.58 % BW rewrite match successes : 1247
% 51.46/22.58 % Condensation attempts : 0
% 51.46/22.58 % Condensation successes : 0
% 51.46/22.58 % Termbank termtop insertions : 4330215
% 51.46/22.58 % Search garbage collected termcells : 182191
% 51.46/22.58
% 51.46/22.58 % -------------------------------------------------
% 51.46/22.58 % User time : 14.116 s
% 51.46/22.58 % System time : 0.397 s
% 51.46/22.58 % Total time : 14.513 s
% 51.46/22.58 % Maximum resident set size: 45716 pages
% 51.46/22.58
% 51.46/22.58 % -------------------------------------------------
% 51.46/22.58 % User time : 15.899 s
% 51.46/22.58 % System time : 0.457 s
% 51.46/22.58 % Total time : 16.356 s
% 51.46/22.58 % Maximum resident set size: 33280 pages
% 51.46/22.58 % E exiting
%------------------------------------------------------------------------------