%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP206^3 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:04:41 AM UTC 2026
% Result : Theorem 3.53s 3.80s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 29 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 203 ( 25 ~; 19 |; 0 &; 152 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
ref_a: $tType ).
thf(decl_sort2,type,
heap_e7401611519738050253t_unit: $tType ).
thf(decl_sort3,type,
produc7812382424243267045t_unit: $tType ).
thf(decl_sort4,type,
heap_Heap_ref_a: $tType ).
thf(decl_sort5,type,
a: $tType ).
thf(decl_988,type,
heap_effect_ref_a: heap_Heap_ref_a > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > ref_a > $o ).
thf(decl_1375,type,
produc6544324848051098391t_unit: ref_a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(decl_1638,type,
produc473321116828791851t_unit: produc7812382424243267045t_unit > ref_a ).
thf(decl_1668,type,
produc1126150082675451753t_unit: produc7812382424243267045t_unit > heap_e7401611519738050253t_unit ).
thf(decl_1706,type,
alloc_a: a > heap_e7401611519738050253t_unit > produc7812382424243267045t_unit ).
thf(decl_1715,type,
ref_a2: a > heap_Heap_ref_a ).
thf(decl_2416,type,
h: heap_e7401611519738050253t_unit ).
thf(decl_2417,type,
h2: heap_e7401611519738050253t_unit ).
thf(decl_2418,type,
r: ref_a ).
thf(decl_2419,type,
thesis: $o ).
thf(decl_2420,type,
x: a ).
thf(fact_183_effect__deterministic_I2_J,axiom,
! [X404: heap_Heap_ref_a,X13: heap_e7401611519738050253t_unit,X19: heap_e7401611519738050253t_unit,X405: ref_a,X406: heap_e7401611519738050253t_unit,X407: ref_a] :
( ( heap_effect_ref_a @ X404 @ X13 @ X19 @ X405 )
=> ( ( heap_effect_ref_a @ X404 @ X13 @ X406 @ X407 )
=> ( X19 = X406 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',fact_183_effect__deterministic_I2_J) ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',conj_1) ).
thf(fact_1_assms,axiom,
heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r,
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',fact_1_assms) ).
thf(fact_28_effect__refI,axiom,
! [X17: ref_a,X19: heap_e7401611519738050253t_unit,X15: a,X13: heap_e7401611519738050253t_unit] :
( ( ( produc6544324848051098391t_unit @ X17 @ X19 )
= ( alloc_a @ X15 @ X13 ) )
=> ( heap_effect_ref_a @ ( ref_a2 @ X15 ) @ X13 @ X19 @ X17 ) ),
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',fact_28_effect__refI) ).
thf(fact_184_effect__deterministic_I1_J,axiom,
! [X408: heap_Heap_ref_a,X13: heap_e7401611519738050253t_unit,X19: heap_e7401611519738050253t_unit,X409: ref_a,X406: heap_e7401611519738050253t_unit,X410: ref_a] :
( ( heap_effect_ref_a @ X408 @ X13 @ X19 @ X409 )
=> ( ( heap_effect_ref_a @ X408 @ X13 @ X406 @ X410 )
=> ( X409 = X410 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',fact_184_effect__deterministic_I1_J) ).
thf(fact_125_prod_Oexhaust__sel,axiom,
! [X1: produc7812382424243267045t_unit] :
( X1
= ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ X1 ) @ ( produc1126150082675451753t_unit @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',fact_125_prod_Oexhaust__sel) ).
thf(fact_0_that,axiom,
( ( r
= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
=> ( ( h2
= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
=> thesis ) ),
file('/export/starexec/sandbox2/tmp/tmp.LPYstaKIo4/E---3.1_834741.p',fact_0_that) ).
thf(c_0_7,plain,
! [X14884: heap_Heap_ref_a,X14885: heap_e7401611519738050253t_unit,X14886: heap_e7401611519738050253t_unit,X14887: ref_a,X14888: heap_e7401611519738050253t_unit,X14889: ref_a] :
( ~ ( heap_effect_ref_a @ X14884 @ X14885 @ X14886 @ X14887 )
| ~ ( heap_effect_ref_a @ X14884 @ X14885 @ X14888 @ X14889 )
| ( X14886 = X14888 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_183_effect__deterministic_I2_J])])]) ).
thf(c_0_8,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_9,plain,
! [X13: heap_e7401611519738050253t_unit,X402: heap_Heap_ref_a,X7: heap_e7401611519738050253t_unit,X6: ref_a,X19: heap_e7401611519738050253t_unit,X17: ref_a] :
( ( X13 = X19 )
| ~ ( heap_effect_ref_a @ X402 @ X7 @ X13 @ X6 )
| ~ ( heap_effect_ref_a @ X402 @ X7 @ X19 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ h2 @ r,
inference(split_conjunct,[status(thm)],[fact_1_assms]) ).
thf(c_0_11,plain,
! [X14896: ref_a,X14897: heap_e7401611519738050253t_unit,X14898: a,X14899: heap_e7401611519738050253t_unit] :
( ( ( produc6544324848051098391t_unit @ X14896 @ X14897 )
!= ( alloc_a @ X14898 @ X14899 ) )
| ( heap_effect_ref_a @ ( ref_a2 @ X14898 ) @ X14899 @ X14897 @ X14896 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_28_effect__refI])])]) ).
thf(c_0_12,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X14890: heap_Heap_ref_a,X14891: heap_e7401611519738050253t_unit,X14892: heap_e7401611519738050253t_unit,X14893: ref_a,X14894: heap_e7401611519738050253t_unit,X14895: ref_a] :
( ~ ( heap_effect_ref_a @ X14890 @ X14891 @ X14892 @ X14893 )
| ~ ( heap_effect_ref_a @ X14890 @ X14891 @ X14894 @ X14895 )
| ( X14893 = X14895 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_184_effect__deterministic_I1_J])])]) ).
thf(c_0_14,plain,
! [X7: heap_e7401611519738050253t_unit,X6: ref_a] :
( ( X7 = h2 )
| ~ ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X7 @ X6 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_15,plain,
! [X6: ref_a,X12: a,X7: heap_e7401611519738050253t_unit,X13: heap_e7401611519738050253t_unit] :
( ( heap_effect_ref_a @ ( ref_a2 @ X12 ) @ X13 @ X7 @ X6 )
| ( ( produc6544324848051098391t_unit @ X6 @ X7 )
!= ( alloc_a @ X12 @ X13 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X14853: produc7812382424243267045t_unit] :
( X14853
= ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ X14853 ) @ ( produc1126150082675451753t_unit @ X14853 ) ) ),
inference(variable_rename,[status(thm)],[fact_125_prod_Oexhaust__sel]) ).
thf(c_0_17,plain,
( ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) )
| thesis ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0_that])]) ).
thf(c_0_18,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
! [X13: heap_e7401611519738050253t_unit,X402: heap_Heap_ref_a,X7: heap_e7401611519738050253t_unit,X6: ref_a,X19: heap_e7401611519738050253t_unit,X17: ref_a] :
( ( X6 = X17 )
| ~ ( heap_effect_ref_a @ X402 @ X7 @ X13 @ X6 )
| ~ ( heap_effect_ref_a @ X402 @ X7 @ X19 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
! [X6: ref_a,X7: heap_e7401611519738050253t_unit] :
( ( X7 = h2 )
| ( ( produc6544324848051098391t_unit @ X6 @ X7 )
!= ( alloc_a @ x @ h ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_21,plain,
! [X1: produc7812382424243267045t_unit] :
( X1
= ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ X1 ) @ ( produc1126150082675451753t_unit @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_22,plain,
( thesis
| ( r
!= ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) )
| ( h2
!= ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_24,plain,
! [X7: heap_e7401611519738050253t_unit,X6: ref_a] :
( ( X6 = r )
| ~ ( heap_effect_ref_a @ ( ref_a2 @ x ) @ h @ X7 @ X6 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
thf(c_0_25,plain,
( ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) )
= h2 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]) ).
thf(c_0_26,plain,
( ( ( produc1126150082675451753t_unit @ ( alloc_a @ x @ h ) )
!= h2 )
| ( ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) )
!= r ) ),
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_27,plain,
! [X6: ref_a,X7: heap_e7401611519738050253t_unit] :
( ( X6 = r )
| ( ( produc6544324848051098391t_unit @ X6 @ X7 )
!= ( alloc_a @ x @ h ) ) ),
inference(spm,[status(thm)],[c_0_24,c_0_15]) ).
thf(c_0_28,plain,
( ( produc6544324848051098391t_unit @ ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) ) @ h2 )
= ( alloc_a @ x @ h ) ),
inference(spm,[status(thm)],[c_0_21,c_0_25]) ).
thf(c_0_29,plain,
( ( produc473321116828791851t_unit @ ( alloc_a @ x @ h ) )
!= r ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_25])]) ).
thf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP206^3 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.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 20:07:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 2.75/2.87 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.LPYstaKIo4/E---3.1_834741.p
% 3.53/3.80 % Version: 3.5.1-ho
% 3.53/3.80 % partial match(2): HMLLSMLLSSLNSFA
% 3.53/3.80 % Preprocessing class: HMLLSMLLSSLCHFA.
% 3.53/3.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.53/3.80 % Starting new_bool_8 with 1200s (4) cores
% 3.53/3.80 % Starting post_as_ho5 with 600s (2) cores
% 3.53/3.80 % Starting new_bool_9 with 300s (1) cores
% 3.53/3.80 % Starting new_bool_3 with 300s (1) cores
% 3.53/3.80 % new_bool_3 with pid 834990 completed with status 0
% 3.53/3.80 % Result found by new_bool_3
% 3.53/3.80 % partial match(2): HMLLSMLLSSLNSFA
% 3.53/3.80 % Preprocessing class: HMLLSMLLSSLCHFA.
% 3.53/3.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.53/3.80 % Starting new_bool_8 with 1200s (4) cores
% 3.53/3.80 % Starting post_as_ho5 with 600s (2) cores
% 3.53/3.80 % Starting new_bool_9 with 300s (1) cores
% 3.53/3.80 % Starting new_bool_3 with 300s (1) cores
% 3.53/3.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.53/3.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.53/3.80 % Search class: HHHSM-FFMF31-MHFFFSBN
% 3.53/3.80 % partial match(4): HGHSM-FSLM31-MHFFFSBN
% 3.53/3.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.53/3.80 % Starting SubtermCWHack with 28s (1) cores
% 3.53/3.80 % SubtermCWHack with pid 835004 completed with status 0
% 3.53/3.80 % Result found by SubtermCWHack
% 3.53/3.80 % partial match(2): HMLLSMLLSSLNSFA
% 3.53/3.80 % Preprocessing class: HMLLSMLLSSLCHFA.
% 3.53/3.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.53/3.80 % Starting new_bool_8 with 1200s (4) cores
% 3.53/3.80 % Starting post_as_ho5 with 600s (2) cores
% 3.53/3.80 % Starting new_bool_9 with 300s (1) cores
% 3.53/3.80 % Starting new_bool_3 with 300s (1) cores
% 3.53/3.80 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 3.53/3.80 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.53/3.80 % Search class: HHHSM-FFMF31-MHFFFSBN
% 3.53/3.80 % partial match(4): HGHSM-FSLM31-MHFFFSBN
% 3.53/3.80 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 3.53/3.80 % Starting SubtermCWHack with 28s (1) cores
% 3.53/3.80 % Preprocessing time : 0.008 s
% 3.53/3.80
% 3.53/3.80 % Proof found!
% 3.53/3.80 % SZS status Theorem
% 3.53/3.80 % SZS output start CNFRefutation
% See solution above
% 3.53/3.80 % Parsed axioms : 6932
% 3.53/3.80 % Removed by relevancy pruning/SinE : 6896
% 3.53/3.80 % Initial clauses : 41
% 3.53/3.80 % Removed in clause preprocessing : 1
% 3.53/3.80 % Initial clauses in saturation : 40
% 3.53/3.80 % Processed clauses : 136
% 3.53/3.80 % ...of these trivial : 9
% 3.53/3.80 % ...subsumed : 36
% 3.53/3.80 % ...remaining for further processing : 91
% 3.53/3.80 % Other redundant clauses eliminated : 18
% 3.53/3.80 % Clauses deleted for lack of memory : 0
% 3.53/3.80 % Backward-subsumed : 2
% 3.53/3.80 % Backward-rewritten : 8
% 3.53/3.80 % Generated clauses : 208
% 3.53/3.80 % ...of the previous two non-redundant : 155
% 3.53/3.80 % ...aggressively subsumed : 0
% 3.53/3.80 % Contextual simplify-reflections : 0
% 3.53/3.80 % Paramodulations : 180
% 3.53/3.80 % Factorizations : 0
% 3.53/3.80 % NegExts : 0
% 3.53/3.80 % Equation resolutions : 19
% 3.53/3.80 % Disequality decompositions : 0
% 3.53/3.80 % Total rewrite steps : 79
% 3.53/3.80 % ...of those cached : 45
% 3.53/3.80 % Propositional unsat checks : 0
% 3.53/3.80 % Propositional check models : 0
% 3.53/3.80 % Propositional check unsatisfiable : 0
% 3.53/3.80 % Propositional clauses : 0
% 3.53/3.80 % Propositional clauses after purity: 0
% 3.53/3.80 % Propositional unsat core size : 0
% 3.53/3.80 % Propositional preprocessing time : 0.000
% 3.53/3.80 % Propositional encoding time : 0.000
% 3.53/3.80 % Propositional solver time : 0.000
% 3.53/3.80 % Success case prop preproc time : 0.000
% 3.53/3.80 % Success case prop encoding time : 0.000
% 3.53/3.80 % Success case prop solver time : 0.000
% 3.53/3.80 % Current number of processed clauses : 72
% 3.53/3.80 % Positive orientable unit clauses : 27
% 3.53/3.80 % Positive unorientable unit clauses: 1
% 3.53/3.80 % Negative unit clauses : 18
% 3.53/3.80 % Non-unit-clauses : 26
% 3.53/3.80 % Current number of unprocessed clauses: 46
% 3.53/3.80 % ...number of literals in the above : 61
% 3.53/3.80 % Current number of archived formulas : 0
% 3.53/3.80 % Current number of archived clauses : 12
% 3.53/3.80 % Clause-clause subsumption calls (NU) : 39
% 3.53/3.80 % Rec. Clause-clause subsumption calls : 39
% 3.53/3.80 % Non-unit clause-clause subsumptions : 14
% 3.53/3.80 % Unit Clause-clause subsumption calls : 45
% 3.53/3.80 % Rewrite failures with RHS unbound : 16
% 3.53/3.80 % BW rewrite match attempts : 18
% 3.53/3.80 % BW rewrite match successes : 7
% 3.53/3.80 % Condensation attempts : 0
% 3.53/3.80 % Condensation successes : 0
% 3.53/3.80 % Termbank termtop insertions : 94932
% 3.53/3.80 % Search garbage collected termcells : 62289
% 3.53/3.80
% 3.53/3.80 % -------------------------------------------------
% 3.53/3.80 % User time : 0.096 s
% 3.53/3.80 % System time : 0.068 s
% 3.53/3.80 % Total time : 0.163 s
% 3.53/3.80 % Maximum resident set size: 24992 pages
% 3.53/3.80
% 3.53/3.80 % -------------------------------------------------
% 3.53/3.80 % User time : 0.750 s
% 3.53/3.80 % System time : 0.114 s
% 3.53/3.80 % Total time : 0.865 s
% 3.53/3.80 % Maximum resident set size: 21504 pages
% 3.53/3.80 % E exiting
%------------------------------------------------------------------------------