%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP173^1 : TPTP v9.3.1. Released v7.5.0.
% 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 08:04:35 AM UTC 2026
% Result : Theorem 0.22s 0.35s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 8 ~; 4 |; 0 &; 20 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
heap_S1465075775_j_k_l: $tType ).
thf(decl_56,type,
type_w1479951274_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(decl_83,type,
type_w697503069_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(decl_163,type,
type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).
thf(decl_181,type,
h: heap_S1465075775_j_k_l ).
thf(conj_3,conjecture,
type_w697503069_j_k_l @ h,
file('/export/starexec/sandbox/tmp/tmp.OjmTz0eih7/E---3.1_1752455.p',conj_3) ).
thf(fact_47_ShadowRootClass_Otype__wf_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,axiom,
! [X1: heap_S1465075775_j_k_l] :
( ( type_w92696601_j_k_l @ X1 )
=> ( type_w1479951274_j_k_l @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.OjmTz0eih7/E---3.1_1752455.p',fact_47_ShadowRootClass_Otype__wf_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) ).
thf(fact_48_DocumentClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
! [X1: heap_S1465075775_j_k_l] :
( ( type_w1479951274_j_k_l @ X1 )
=> ( type_w697503069_j_k_l @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.OjmTz0eih7/E---3.1_1752455.p',fact_48_DocumentClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t) ).
thf(conj_2,hypothesis,
type_w92696601_j_k_l @ h,
file('/export/starexec/sandbox/tmp/tmp.OjmTz0eih7/E---3.1_1752455.p',conj_2) ).
thf(c_0_4,negated_conjecture,
~ ( type_w697503069_j_k_l @ h ),
inference(assume_negation,[status(cth)],[conj_3]) ).
thf(c_0_5,negated_conjecture,
~ ( type_w697503069_j_k_l @ h ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X1973: heap_S1465075775_j_k_l] :
( ~ ( type_w92696601_j_k_l @ X1973 )
| ( type_w1479951274_j_k_l @ X1973 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_47_ShadowRootClass_Otype__wf_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])])]) ).
thf(c_0_7,negated_conjecture,
~ ( type_w697503069_j_k_l @ h ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X1975: heap_S1465075775_j_k_l] :
( ~ ( type_w1479951274_j_k_l @ X1975 )
| ( type_w697503069_j_k_l @ X1975 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_48_DocumentClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t])])]) ).
thf(c_0_9,plain,
! [X1: heap_S1465075775_j_k_l] :
( ( type_w1479951274_j_k_l @ X1 )
| ~ ( type_w92696601_j_k_l @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,hypothesis,
type_w92696601_j_k_l @ h,
inference(split_conjunct,[status(thm)],[conj_2]) ).
thf(c_0_11,negated_conjecture,
~ ( type_w697503069_j_k_l @ h ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X1: heap_S1465075775_j_k_l] :
( ( type_w697503069_j_k_l @ X1 )
| ~ ( type_w1479951274_j_k_l @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,hypothesis,
type_w1479951274_j_k_l @ h,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP173^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n001.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 20:11:51 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.22/0.26 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.OjmTz0eih7/E---3.1_1752455.p
% 0.22/0.35 % Version: 3.5.1-ho
% 0.22/0.35 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.22/0.35 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.35 % Starting new_bool_8 with 600s (2) cores
% 0.22/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.22/0.35 % Starting additional_ho_3 with 300s (1) cores
% 0.22/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.22/0.35 % Starting ehoh_best with 300s (1) cores
% 0.22/0.35 % Starting sh2lt with 300s (1) cores
% 0.22/0.35 % Starting full_lambda_4 with 300s (1) cores
% 0.22/0.35 % full_lambda_4 with pid 1752515 completed with status 0
% 0.22/0.35 % Result found by full_lambda_4
% 0.22/0.35 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.22/0.35 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.35 % Starting new_bool_8 with 600s (2) cores
% 0.22/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.22/0.35 % Starting additional_ho_3 with 300s (1) cores
% 0.22/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.22/0.35 % Starting ehoh_best with 300s (1) cores
% 0.22/0.35 % Starting sh2lt with 300s (1) cores
% 0.22/0.35 % Starting full_lambda_4 with 300s (1) cores
% 0.22/0.35 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
% 0.22/0.35 % SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.22/0.35 % Search class: HGUSM-FSLM33-DHSFFSNN
% 0.22/0.35 % partial match(2): HGUSM-FSLM32-DHSFFSBN
% 0.22/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.35 % SubtermCWHack with pid 1752530 completed with status 0
% 0.22/0.35 % Result found by SubtermCWHack
% 0.22/0.35 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.22/0.35 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.35 % Starting new_bool_8 with 600s (2) cores
% 0.22/0.35 % Starting new_ho_3 with 300s (1) cores
% 0.22/0.35 % Starting additional_ho_3 with 300s (1) cores
% 0.22/0.35 % Starting full_lambda_10 with 300s (1) cores
% 0.22/0.35 % Starting ehoh_best with 300s (1) cores
% 0.22/0.35 % Starting sh2lt with 300s (1) cores
% 0.22/0.35 % Starting full_lambda_4 with 300s (1) cores
% 0.22/0.35 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,1.5,,2,20000,1.0))
% 0.22/0.35 % SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.22/0.35 % Search class: HGUSM-FSLM33-DHSFFSNN
% 0.22/0.35 % partial match(2): HGUSM-FSLM32-DHSFFSBN
% 0.22/0.35 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.35 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.35 % Preprocessing time : 0.006 s
% 0.22/0.35
% 0.22/0.35 % Proof found!
% 0.22/0.35 % SZS status Theorem
% 0.22/0.35 % SZS output start CNFRefutation
% See solution above
% 0.22/0.35 % Parsed axioms : 555
% 0.22/0.35 % Removed by relevancy pruning/SinE : 387
% 0.22/0.35 % Initial clauses : 197
% 0.22/0.35 % Removed in clause preprocessing : 6
% 0.22/0.35 % Initial clauses in saturation : 191
% 0.22/0.35 % Processed clauses : 11
% 0.22/0.35 % ...of these trivial : 1
% 0.22/0.35 % ...subsumed : 0
% 0.22/0.35 % ...remaining for further processing : 10
% 0.22/0.35 % Other redundant clauses eliminated : 0
% 0.22/0.35 % Clauses deleted for lack of memory : 0
% 0.22/0.35 % Backward-subsumed : 0
% 0.22/0.35 % Backward-rewritten : 0
% 0.22/0.35 % Generated clauses : 4
% 0.22/0.35 % ...of the previous two non-redundant : 3
% 0.22/0.35 % ...aggressively subsumed : 0
% 0.22/0.35 % Contextual simplify-reflections : 0
% 0.22/0.35 % Paramodulations : 3
% 0.22/0.35 % Factorizations : 0
% 0.22/0.35 % NegExts : 0
% 0.22/0.35 % Equation resolutions : 0
% 0.22/0.35 % Disequality decompositions : 0
% 0.22/0.35 % Total rewrite steps : 2
% 0.22/0.35 % ...of those cached : 0
% 0.22/0.35 % Propositional unsat checks : 0
% 0.22/0.35 % Propositional check models : 0
% 0.22/0.35 % Propositional check unsatisfiable : 0
% 0.22/0.35 % Propositional clauses : 0
% 0.22/0.35 % Propositional clauses after purity: 0
% 0.22/0.35 % Propositional unsat core size : 0
% 0.22/0.35 % Propositional preprocessing time : 0.000
% 0.22/0.35 % Propositional encoding time : 0.000
% 0.22/0.35 % Propositional solver time : 0.000
% 0.22/0.35 % Success case prop preproc time : 0.000
% 0.22/0.35 % Success case prop encoding time : 0.000
% 0.22/0.35 % Success case prop solver time : 0.000
% 0.22/0.35 % Current number of processed clauses : 10
% 0.22/0.35 % Positive orientable unit clauses : 4
% 0.22/0.35 % Positive unorientable unit clauses: 0
% 0.22/0.35 % Negative unit clauses : 1
% 0.22/0.35 % Non-unit-clauses : 5
% 0.22/0.35 % Current number of unprocessed clauses: 183
% 0.22/0.35 % ...number of literals in the above : 491
% 0.22/0.35 % Current number of archived formulas : 0
% 0.22/0.35 % Current number of archived clauses : 0
% 0.22/0.35 % Clause-clause subsumption calls (NU) : 10
% 0.22/0.35 % Rec. Clause-clause subsumption calls : 10
% 0.22/0.35 % Non-unit clause-clause subsumptions : 0
% 0.22/0.35 % Unit Clause-clause subsumption calls : 3
% 0.22/0.35 % Rewrite failures with RHS unbound : 0
% 0.22/0.35 % BW rewrite match attempts : 0
% 0.22/0.35 % BW rewrite match successes : 0
% 0.22/0.35 % Condensation attempts : 0
% 0.22/0.35 % Condensation successes : 0
% 0.22/0.35 % Termbank termtop insertions : 32082
% 0.22/0.35 % Search garbage collected termcells : 11492
% 0.22/0.35
% 0.22/0.35 % -------------------------------------------------
% 0.22/0.35 % User time : 0.029 s
% 0.22/0.35 % System time : 0.013 s
% 0.22/0.35 % Total time : 0.041 s
% 0.22/0.35 % Maximum resident set size: 6984 pages
% 0.22/0.35
% 0.22/0.35 % -------------------------------------------------
% 0.22/0.35 % User time : 0.058 s
% 0.22/0.35 % System time : 0.019 s
% 0.22/0.35 % Total time : 0.076 s
% 0.22/0.35 % Maximum resident set size: 6400 pages
% 0.22/0.35 % E exiting
%------------------------------------------------------------------------------