%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP214^1 : 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 : n010.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 08:04:44 AM UTC 2026
% Result : Theorem 39.25s 18.01s
% Output : CNFRefutation 39.25s
% 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/sandbox2/tmp/tmp.mRy0ZfoucL/E---3.1_3353349.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/sandbox2/tmp/tmp.mRy0ZfoucL/E---3.1_3353349.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/sandbox2/tmp/tmp.mRy0ZfoucL/E---3.1_3353349.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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:15:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 5.66/5.72 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.mRy0ZfoucL/E---3.1_3353349.p
% 39.25/18.01 % Version: 3.5.1-ho
% 39.25/18.01 % partial match(2): HMLMSMSMSSLCHFA
% 39.25/18.01 % Preprocessing class: HMLLSMLMSSLCHFA.
% 39.25/18.01 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 39.25/18.01 % Starting new_ho_10 with 1495s (5) cores
% 39.25/18.01 % Starting sh5l with 299s (1) cores
% 39.25/18.01 % Starting new_bool_1 with 299s (1) cores
% 39.25/18.01 % Starting new_bool_2 with 299s (1) cores
% 39.25/18.01 % new_bool_1 with pid 3353367 completed with status 0
% 39.25/18.01 % Result found by new_bool_1
% 39.25/18.01 % partial match(2): HMLMSMSMSSLCHFA
% 39.25/18.01 % Preprocessing class: HMLLSMLMSSLCHFA.
% 39.25/18.01 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 39.25/18.01 % Starting new_ho_10 with 1495s (5) cores
% 39.25/18.01 % Starting sh5l with 299s (1) cores
% 39.25/18.01 % Starting new_bool_1 with 299s (1) cores
% 39.25/18.01 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 39.25/18.01 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 39.25/18.01 % Search class: HGHSM-SMLM32-DHFFFSBN
% 39.25/18.01 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 39.25/18.01 % Starting SubtermCWHack with 30s (1) cores
% 39.25/18.01 % SubtermCWHack with pid 3353369 completed with status 0
% 39.25/18.01 % Result found by SubtermCWHack
% 39.25/18.01 % partial match(2): HMLMSMSMSSLCHFA
% 39.25/18.01 % Preprocessing class: HMLLSMLMSSLCHFA.
% 39.25/18.01 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 39.25/18.01 % Starting new_ho_10 with 1495s (5) cores
% 39.25/18.01 % Starting sh5l with 299s (1) cores
% 39.25/18.01 % Starting new_bool_1 with 299s (1) cores
% 39.25/18.01 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 39.25/18.01 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 39.25/18.01 % Search class: HGHSM-SMLM32-DHFFFSBN
% 39.25/18.01 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 39.25/18.01 % Starting SubtermCWHack with 30s (1) cores
% 39.25/18.01 % Preprocessing time : 0.097 s
% 39.25/18.01
% 39.25/18.01 % Proof found!
% 39.25/18.01 % SZS status Theorem
% 39.25/18.01 % SZS output start CNFRefutation
% See solution above
% 39.25/18.01 % Parsed axioms : 12112
% 39.25/18.01 % Removed by relevancy pruning/SinE : 10054
% 39.25/18.01 % Initial clauses : 3801
% 39.25/18.01 % Removed in clause preprocessing : 174
% 39.25/18.01 % Initial clauses in saturation : 3627
% 39.25/18.01 % Processed clauses : 27522
% 39.25/18.01 % ...of these trivial : 6684
% 39.25/18.01 % ...subsumed : 11897
% 39.25/18.01 % ...remaining for further processing : 8940
% 39.25/18.01 % Other redundant clauses eliminated : 1368
% 39.25/18.01 % Clauses deleted for lack of memory : 0
% 39.25/18.01 % Backward-subsumed : 438
% 39.25/18.01 % Backward-rewritten : 629
% 39.25/18.01 % Generated clauses : 310316
% 39.25/18.01 % ...of the previous two non-redundant : 264862
% 39.25/18.01 % ...aggressively subsumed : 0
% 39.25/18.01 % Contextual simplify-reflections : 17
% 39.25/18.01 % Paramodulations : 308805
% 39.25/18.01 % Factorizations : 26
% 39.25/18.01 % NegExts : 0
% 39.25/18.01 % Equation resolutions : 1400
% 39.25/18.01 % Disequality decompositions : 0
% 39.25/18.01 % Total rewrite steps : 73485
% 39.25/18.01 % ...of those cached : 55223
% 39.25/18.01 % Propositional unsat checks : 0
% 39.25/18.01 % Propositional check models : 0
% 39.25/18.01 % Propositional check unsatisfiable : 0
% 39.25/18.01 % Propositional clauses : 0
% 39.25/18.01 % Propositional clauses after purity: 0
% 39.25/18.01 % Propositional unsat core size : 0
% 39.25/18.01 % Propositional preprocessing time : 0.000
% 39.25/18.01 % Propositional encoding time : 0.000
% 39.25/18.01 % Propositional solver time : 0.000
% 39.25/18.01 % Success case prop preproc time : 0.000
% 39.25/18.01 % Success case prop encoding time : 0.000
% 39.25/18.01 % Success case prop solver time : 0.000
% 39.25/18.01 % Current number of processed clauses : 7657
% 39.25/18.01 % Positive orientable unit clauses : 3427
% 39.25/18.01 % Positive unorientable unit clauses: 20
% 39.25/18.01 % Negative unit clauses : 2328
% 39.25/18.01 % Non-unit-clauses : 1882
% 39.25/18.01 % Current number of unprocessed clauses: 239159
% 39.25/18.01 % ...number of literals in the above : 455122
% 39.25/18.01 % Current number of archived formulas : 0
% 39.25/18.01 % Current number of archived clauses : 1069
% 39.25/18.01 % Clause-clause subsumption calls (NU) : 668232
% 39.25/18.01 % Rec. Clause-clause subsumption calls : 448983
% 39.25/18.01 % Non-unit clause-clause subsumptions : 2423
% 39.25/18.01 % Unit Clause-clause subsumption calls : 1799750
% 39.25/18.01 % Rewrite failures with RHS unbound : 0
% 39.25/18.01 % BW rewrite match attempts : 41154
% 39.25/18.01 % BW rewrite match successes : 1256
% 39.25/18.01 % Condensation attempts : 0
% 39.25/18.01 % Condensation successes : 0
% 39.25/18.01 % Termbank termtop insertions : 4372870
% 39.25/18.01 % Search garbage collected termcells : 182191
% 39.25/18.01
% 39.25/18.01 % -------------------------------------------------
% 39.25/18.01 % User time : 10.091 s
% 39.25/18.01 % System time : 0.312 s
% 39.25/18.01 % Total time : 10.403 s
% 39.25/18.01 % Maximum resident set size: 45572 pages
% 39.25/18.01
% 39.25/18.01 % -------------------------------------------------
% 39.25/18.01 % User time : 11.811 s
% 39.25/18.01 % System time : 0.377 s
% 39.25/18.01 % Total time : 12.188 s
% 39.25/18.01 % Maximum resident set size: 33536 pages
% 39.25/18.01 % E exiting
%------------------------------------------------------------------------------