%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP172^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:05:44 AM UTC 2026
% Result : Theorem 0.49s 0.41s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 93 ( 12 ~; 3 |; 1 &; 76 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-5 aty)
% Number of variables : 11 ( 1 ^; 10 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
product_unit: $tType ).
thf(decl_sort2,type,
list_char: $tType ).
thf(decl_sort3,type,
option_element_ptr_a: $tType ).
thf(decl_sort4,type,
list_n282880152tr_b_c: $tType ).
thf(decl_sort5,type,
option2026120038on_j_k: $tType ).
thf(decl_sort6,type,
rDocum326988203on_j_k: $tType ).
thf(decl_sort7,type,
rObjec1617416918on_j_k: $tType ).
thf(decl_sort8,type,
rObjec1413572695_j_k_l: $tType ).
thf(decl_sort9,type,
option841825948on_j_k: $tType ).
thf(decl_23,type,
rDocum427676485on_j_k: product_unit > list_char > option_element_ptr_a > list_n282880152tr_b_c > option2026120038on_j_k > rDocum326988203on_j_k ).
thf(decl_34,type,
cast_D1252964113_h_i_l: rObjec1617416918on_j_k > rObjec1413572695_j_k_l ).
thf(decl_35,type,
cast_O1034441233_j_k_l: rObjec1413572695_j_k_l > option841825948on_j_k ).
thf(decl_38,type,
is_doc1417632087_j_k_l: rObjec1413572695_j_k_l > $o ).
thf(decl_64,type,
nil_no279930520tr_b_c: list_n282880152tr_b_c ).
thf(decl_65,type,
nil_char: list_char ).
thf(decl_92,type,
rObjec1303043984on_j_k: product_unit > rDocum326988203on_j_k > rObjec1617416918on_j_k ).
thf(decl_107,type,
none_element_ptr_a: option_element_ptr_a ).
thf(decl_108,type,
none_R1587534007on_j_k: option841825948on_j_k ).
thf(decl_110,type,
none_S1393028981on_j_k: option2026120038on_j_k ).
thf(decl_113,type,
some_R67702331on_j_k: rObjec1617416918on_j_k > option841825948on_j_k ).
thf(decl_124,type,
product_Unity: product_unit ).
thf(conj_3,conjecture,
is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPOA8VX3NR/E---3.1_2141272.p',conj_3) ).
thf(fact_115_is__document__kind__def,axiom,
( is_doc1417632087_j_k_l
= ( ^ [X170: rObjec1413572695_j_k_l] :
( ( cast_O1034441233_j_k_l @ X170 )
!= none_R1587534007on_j_k ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPOA8VX3NR/E---3.1_2141272.p',fact_115_is__document__kind__def) ).
thf(fact_180_option_Odistinct_I1_J,axiom,
! [X231: rObjec1617416918on_j_k] :
( none_R1587534007on_j_k
!= ( some_R67702331on_j_k @ X231 ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPOA8VX3NR/E---3.1_2141272.p',fact_180_option_Odistinct_I1_J) ).
thf(fact_178_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inv,axiom,
! [X230: rObjec1617416918on_j_k] :
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ X230 ) )
= ( some_R67702331on_j_k @ X230 ) ),
file('/export/starexec/sandbox2/tmp/tmp.yPOA8VX3NR/E---3.1_2141272.p',fact_178_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inv) ).
thf(c_0_4,negated_conjecture,
~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
inference(assume_negation,[status(cth)],[conj_3]) ).
thf(c_0_5,negated_conjecture,
~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X1849: rObjec1413572695_j_k_l] :
( ( is_doc1417632087_j_k_l @ X1849 )
<=> ( ( cast_O1034441233_j_k_l @ X1849 )
!= none_R1587534007on_j_k ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_115_is__document__kind__def])])]) ).
thf(c_0_7,negated_conjecture,
~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X2173: rObjec1413572695_j_k_l] :
( ( ~ ( is_doc1417632087_j_k_l @ X2173 )
| ( ( cast_O1034441233_j_k_l @ X2173 )
!= none_R1587534007on_j_k ) )
& ( ( ( cast_O1034441233_j_k_l @ X2173 )
= none_R1587534007on_j_k )
| ( is_doc1417632087_j_k_l @ X2173 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
thf(c_0_9,plain,
! [X231: rObjec1617416918on_j_k] :
( none_R1587534007on_j_k
!= ( some_R67702331on_j_k @ X231 ) ),
inference(fof_simplification,[status(thm)],[fact_180_option_Odistinct_I1_J]) ).
thf(c_0_10,negated_conjecture,
~ ( is_doc1417632087_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X165: rObjec1413572695_j_k_l] :
( ( ( cast_O1034441233_j_k_l @ X165 )
= none_R1587534007on_j_k )
| ( is_doc1417632087_j_k_l @ X165 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X2324: rObjec1617416918on_j_k] :
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ X2324 ) )
= ( some_R67702331on_j_k @ X2324 ) ),
inference(variable_rename,[status(thm)],[fact_178_cast_092_060_094sub_062O_092_060_094sub_062b_092_060_094sub_062j_092_060_094sub_062e_092_060_094sub_062c_092_060_094sub_062t_092_060_094sub_0622_092_060_094sub_062D_092_060_094sub_062o_092_060_094sub_062c_092_060_094sub_062u_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t__inv]) ).
thf(c_0_13,plain,
! [X2327: rObjec1617416918on_j_k] :
( none_R1587534007on_j_k
!= ( some_R67702331on_j_k @ X2327 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
thf(c_0_14,negated_conjecture,
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ ( rObjec1303043984on_j_k @ product_Unity @ ( rDocum427676485on_j_k @ product_Unity @ nil_char @ none_element_ptr_a @ nil_no279930520tr_b_c @ none_S1393028981on_j_k ) ) ) )
= none_R1587534007on_j_k ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,plain,
! [X1: rObjec1617416918on_j_k] :
( ( cast_O1034441233_j_k_l @ ( cast_D1252964113_h_i_l @ X1 ) )
= ( some_R67702331on_j_k @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,plain,
! [X1: rObjec1617416918on_j_k] :
( none_R1587534007on_j_k
!= ( some_R67702331on_j_k @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP172^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:05:31 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.21/0.29 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.yPOA8VX3NR/E---3.1_2141272.p
% 0.49/0.41 % Version: 3.5.1-ho
% 0.49/0.41 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.49/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.41 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.49/0.41 % Starting new_ho_10 with 300s (1) cores
% 0.49/0.41 % Starting new_bool_6 with 300s (1) cores
% 0.49/0.41 % Starting lpo8_s with 300s (1) cores
% 0.49/0.41 % new_ho_10_cnf2 with pid 2141297 completed with status 0
% 0.49/0.41 % Result found by new_ho_10_cnf2
% 0.49/0.41 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.49/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.41 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.49/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.49/0.41 % No SInE strategy applied
% 0.49/0.41 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.49/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.49/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.49/0.41 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.49/0.41 % Starting post_as_ho6 with 136s (1) cores
% 0.49/0.41 % Starting almost_fo_1 with 136s (1) cores
% 0.49/0.41 % Starting lpo6_lambda_fix with 136s (1) cores
% 0.49/0.41 % new_ho_10_cnf2 with pid 2141303 completed with status 0
% 0.49/0.41 % Result found by new_ho_10_cnf2
% 0.49/0.41 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.49/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/0.41 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.49/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.49/0.41 % No SInE strategy applied
% 0.49/0.41 % Search class: HGHSM-FSLM32-MHFFFSBN
% 0.49/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.49/0.41 % Starting SubtermCWHack with 136s (1) cores
% 0.49/0.41 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.49/0.41 % Preprocessing time : 0.008 s
% 0.49/0.41 % Presaturation interreduction done
% 0.49/0.41
% 0.49/0.41 % Proof found!
% 0.49/0.41 % SZS status Theorem
% 0.49/0.41 % SZS output start CNFRefutation
% See solution above
% 0.49/0.41 % Parsed axioms : 475
% 0.49/0.41 % Removed by relevancy pruning/SinE : 0
% 0.49/0.41 % Initial clauses : 814
% 0.49/0.41 % Removed in clause preprocessing : 200
% 0.49/0.41 % Initial clauses in saturation : 614
% 0.49/0.41 % Processed clauses : 772
% 0.49/0.41 % ...of these trivial : 15
% 0.49/0.41 % ...subsumed : 58
% 0.49/0.41 % ...remaining for further processing : 699
% 0.49/0.41 % Other redundant clauses eliminated : 155
% 0.49/0.41 % Clauses deleted for lack of memory : 0
% 0.49/0.41 % Backward-subsumed : 0
% 0.49/0.41 % Backward-rewritten : 4
% 0.49/0.41 % Generated clauses : 139
% 0.49/0.41 % ...of the previous two non-redundant : 72
% 0.49/0.41 % ...aggressively subsumed : 0
% 0.49/0.41 % Contextual simplify-reflections : 0
% 0.49/0.41 % Paramodulations : 22
% 0.49/0.41 % Factorizations : 0
% 0.49/0.41 % NegExts : 0
% 0.49/0.41 % Equation resolutions : 156
% 0.49/0.41 % Disequality decompositions : 0
% 0.49/0.41 % Total rewrite steps : 78
% 0.49/0.41 % ...of those cached : 37
% 0.49/0.41 % Propositional unsat checks : 0
% 0.49/0.41 % Propositional check models : 0
% 0.49/0.41 % Propositional check unsatisfiable : 0
% 0.49/0.41 % Propositional clauses : 0
% 0.49/0.41 % Propositional clauses after purity: 0
% 0.49/0.41 % Propositional unsat core size : 0
% 0.49/0.41 % Propositional preprocessing time : 0.000
% 0.49/0.41 % Propositional encoding time : 0.000
% 0.49/0.41 % Propositional solver time : 0.000
% 0.49/0.41 % Success case prop preproc time : 0.000
% 0.49/0.41 % Success case prop encoding time : 0.000
% 0.49/0.41 % Success case prop solver time : 0.000
% 0.49/0.41 % Current number of processed clauses : 91
% 0.49/0.41 % Positive orientable unit clauses : 47
% 0.49/0.41 % Positive unorientable unit clauses: 0
% 0.49/0.41 % Negative unit clauses : 18
% 0.49/0.41 % Non-unit-clauses : 26
% 0.49/0.41 % Current number of unprocessed clauses: 406
% 0.49/0.41 % ...number of literals in the above : 1291
% 0.49/0.41 % Current number of archived formulas : 0
% 0.49/0.41 % Current number of archived clauses : 496
% 0.49/0.41 % Clause-clause subsumption calls (NU) : 56680
% 0.49/0.41 % Rec. Clause-clause subsumption calls : 15628
% 0.49/0.41 % Non-unit clause-clause subsumptions : 29
% 0.49/0.41 % Unit Clause-clause subsumption calls : 1504
% 0.49/0.41 % Rewrite failures with RHS unbound : 0
% 0.49/0.41 % BW rewrite match attempts : 28
% 0.49/0.41 % BW rewrite match successes : 26
% 0.49/0.41 % Condensation attempts : 772
% 0.49/0.41 % Condensation successes : 0
% 0.49/0.41 % Termbank termtop insertions : 68712
% 0.49/0.41 % Search garbage collected termcells : 18926
% 0.49/0.41
% 0.49/0.41 % -------------------------------------------------
% 0.49/0.41 % User time : 0.071 s
% 0.49/0.41 % System time : 0.014 s
% 0.49/0.41 % Total time : 0.085 s
% 0.49/0.41 % Maximum resident set size: 7876 pages
% 0.49/0.41
% 0.49/0.41 % -------------------------------------------------
% 0.49/0.41 % User time : 0.216 s
% 0.49/0.41 % System time : 0.051 s
% 0.49/0.41 % Total time : 0.267 s
% 0.49/0.41 % Maximum resident set size: 5888 pages
% 0.49/0.41 % E exiting
%------------------------------------------------------------------------------