%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP182^1 : 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 : 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 08:04:37 AM UTC 2026
% Result : Theorem 0.23s 0.37s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 3 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 165 ( 6 ~; 2 |; 0 &; 156 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
list_P227219501e_name: $tType ).
thf(decl_sort2,type,
pi: $tType ).
thf(decl_sort3,type,
name: $tType ).
thf(decl_sort4,type,
late_subject: $tType ).
thf(decl_sort5,type,
produc367475239e_name: $tType ).
thf(decl_sort6,type,
set_Pr1834926343_pi_pi: $tType ).
thf(decl_35,type,
late_BoundOutputS: name > late_subject ).
thf(decl_44,type,
cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).
thf(decl_47,type,
nil_Pr743626285e_name: list_P227219501e_name ).
thf(decl_85,type,
perm_name_pi: list_P227219501e_name > pi > pi ).
thf(decl_120,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(decl_122,type,
produc1570949143e_name: name > name > produc367475239e_name ).
thf(decl_145,type,
id_pi: set_Pr1834926343_pi_pi ).
thf(decl_147,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(decl_162,type,
p2: pi ).
thf(decl_164,type,
rel: set_Pr1834926343_pi_pi ).
thf(decl_166,type,
aa: name ).
thf(decl_167,type,
x: name ).
thf(decl_168,type,
y: name ).
thf(conj_0,conjecture,
strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel,
file('/export/starexec/sandbox2/tmp/tmp.3kIdu1BvI0/E---3.1_1756518.p',conj_0) ).
thf(fact_194_derivativeReflexive,axiom,
! [X270: set_Pr1834926343_pi_pi,X271: pi,X272: late_subject,X273: name] :
( ( ord_le630093991_pi_pi @ id_pi @ X270 )
=> ( strong2129052853vative @ X271 @ X271 @ X272 @ X273 @ X270 ) ),
file('/export/starexec/sandbox2/tmp/tmp.3kIdu1BvI0/E---3.1_1756518.p',fact_194_derivativeReflexive) ).
thf(fact_19_name__swap,axiom,
! [X1: name,X2: name,X15: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ X15 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X1 ) @ nil_Pr743626285e_name ) @ X15 ) ),
file('/export/starexec/sandbox2/tmp/tmp.3kIdu1BvI0/E---3.1_1756518.p',fact_19_name__swap) ).
thf(fact_0_Id,axiom,
ord_le630093991_pi_pi @ id_pi @ rel,
file('/export/starexec/sandbox2/tmp/tmp.3kIdu1BvI0/E---3.1_1756518.p',fact_0_Id) ).
thf(c_0_4,negated_conjecture,
~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X863: set_Pr1834926343_pi_pi,X864: pi,X865: late_subject,X866: name] :
( ~ ( ord_le630093991_pi_pi @ id_pi @ X863 )
| ( strong2129052853vative @ X864 @ X864 @ X865 @ X866 @ X863 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_194_derivativeReflexive])])]) ).
thf(c_0_7,negated_conjecture,
~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X935: name,X936: name,X937: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X935 @ X936 ) @ nil_Pr743626285e_name ) @ X937 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X936 @ X935 ) @ nil_Pr743626285e_name ) @ X937 ) ),
inference(variable_rename,[status(thm)],[fact_19_name__swap]) ).
thf(c_0_9,plain,
! [X3: late_subject,X1: name,X7: pi,X65: set_Pr1834926343_pi_pi] :
( ( strong2129052853vative @ X7 @ X7 @ X3 @ X1 @ X65 )
| ~ ( ord_le630093991_pi_pi @ id_pi @ X65 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
ord_le630093991_pi_pi @ id_pi @ rel,
inference(split_conjunct,[status(thm)],[fact_0_Id]) ).
thf(c_0_11,negated_conjecture,
~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X1: name,X2: name,X7: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ X7 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X1 ) @ nil_Pr743626285e_name ) @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X3: late_subject,X7: pi,X1: name] : ( strong2129052853vative @ X7 @ X7 @ X3 @ X1 @ rel ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP182^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.17 % Computer : n001.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Sep 29 20:13:51 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 Running higher-order theorem proving
% 0.23/0.28 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.3kIdu1BvI0/E---3.1_1756518.p
% 0.23/0.37 % Version: 3.5.1-ho
% 0.23/0.37 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.23/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.37 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.37 % Starting new_ho_10 with 300s (1) cores
% 0.23/0.37 % Starting new_bool_6 with 300s (1) cores
% 0.23/0.37 % Starting lpo8_s with 300s (1) cores
% 0.23/0.37 % new_bool_6 with pid 1756533 completed with status 0
% 0.23/0.37 % Result found by new_bool_6
% 0.23/0.37 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.23/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.37 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.37 % Starting new_ho_10 with 300s (1) cores
% 0.23/0.37 % Starting new_bool_6 with 300s (1) cores
% 0.23/0.37 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.23/0.37 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.23/0.37 % Search class: HGHSM-FFMM31-MHFFFSBN
% 0.23/0.37 % partial match(2): HGHSM-FSLM31-MHFFFSBN
% 0.23/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.37 % SubtermCWHack with pid 1756536 completed with status 0
% 0.23/0.37 % Result found by SubtermCWHack
% 0.23/0.37 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.23/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.37 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.37 % Starting new_ho_10 with 300s (1) cores
% 0.23/0.37 % Starting new_bool_6 with 300s (1) cores
% 0.23/0.37 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1.0,,1,20000,1.0))
% 0.23/0.37 % SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.23/0.37 % Search class: HGHSM-FFMM31-MHFFFSBN
% 0.23/0.37 % partial match(2): HGHSM-FSLM31-MHFFFSBN
% 0.23/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.37 % Preprocessing time : 0.004 s
% 0.23/0.37
% 0.23/0.37 % Proof found!
% 0.23/0.37 % SZS status Theorem
% 0.23/0.37 % SZS output start CNFRefutation
% See solution above
% 0.23/0.37 % Parsed axioms : 557
% 0.23/0.37 % Removed by relevancy pruning/SinE : 503
% 0.23/0.37 % Initial clauses : 95
% 0.23/0.37 % Removed in clause preprocessing : 7
% 0.23/0.37 % Initial clauses in saturation : 88
% 0.23/0.37 % Processed clauses : 363
% 0.23/0.37 % ...of these trivial : 19
% 0.23/0.37 % ...subsumed : 187
% 0.23/0.37 % ...remaining for further processing : 156
% 0.23/0.37 % Other redundant clauses eliminated : 133
% 0.23/0.37 % Clauses deleted for lack of memory : 0
% 0.23/0.37 % Backward-subsumed : 0
% 0.23/0.37 % Backward-rewritten : 5
% 0.23/0.37 % Generated clauses : 996
% 0.23/0.37 % ...of the previous two non-redundant : 662
% 0.23/0.37 % ...aggressively subsumed : 0
% 0.23/0.37 % Contextual simplify-reflections : 0
% 0.23/0.37 % Paramodulations : 856
% 0.23/0.37 % Factorizations : 0
% 0.23/0.37 % NegExts : 0
% 0.23/0.37 % Equation resolutions : 140
% 0.23/0.38 % Disequality decompositions : 0
% 0.23/0.38 % Total rewrite steps : 370
% 0.23/0.38 % ...of those cached : 331
% 0.23/0.38 % Propositional unsat checks : 0
% 0.23/0.38 % Propositional check models : 0
% 0.23/0.38 % Propositional check unsatisfiable : 0
% 0.23/0.38 % Propositional clauses : 0
% 0.23/0.38 % Propositional clauses after purity: 0
% 0.23/0.38 % Propositional unsat core size : 0
% 0.23/0.38 % Propositional preprocessing time : 0.000
% 0.23/0.38 % Propositional encoding time : 0.000
% 0.23/0.38 % Propositional solver time : 0.000
% 0.23/0.38 % Success case prop preproc time : 0.000
% 0.23/0.38 % Success case prop encoding time : 0.000
% 0.23/0.38 % Success case prop solver time : 0.000
% 0.23/0.38 % Current number of processed clauses : 149
% 0.23/0.38 % Positive orientable unit clauses : 23
% 0.23/0.38 % Positive unorientable unit clauses: 1
% 0.23/0.38 % Negative unit clauses : 4
% 0.23/0.38 % Non-unit-clauses : 121
% 0.23/0.38 % Current number of unprocessed clauses: 380
% 0.23/0.38 % ...number of literals in the above : 1432
% 0.23/0.38 % Current number of archived formulas : 0
% 0.23/0.38 % Current number of archived clauses : 5
% 0.23/0.38 % Clause-clause subsumption calls (NU) : 3830
% 0.23/0.38 % Rec. Clause-clause subsumption calls : 2239
% 0.23/0.38 % Non-unit clause-clause subsumptions : 176
% 0.23/0.38 % Unit Clause-clause subsumption calls : 47
% 0.23/0.38 % Rewrite failures with RHS unbound : 0
% 0.23/0.38 % BW rewrite match attempts : 10
% 0.23/0.38 % BW rewrite match successes : 7
% 0.23/0.38 % Condensation attempts : 0
% 0.23/0.38 % Condensation successes : 0
% 0.23/0.38 % Termbank termtop insertions : 23948
% 0.23/0.38 % Search garbage collected termcells : 6116
% 0.23/0.38
% 0.23/0.38 % -------------------------------------------------
% 0.23/0.38 % User time : 0.046 s
% 0.23/0.38 % System time : 0.008 s
% 0.23/0.38 % Total time : 0.054 s
% 0.23/0.38 % Maximum resident set size: 5300 pages
% 0.23/0.38
% 0.23/0.38 % -------------------------------------------------
% 0.23/0.38 % User time : 0.063 s
% 0.23/0.38 % System time : 0.014 s
% 0.23/0.38 % Total time : 0.077 s
% 0.23/0.38 % Maximum resident set size: 5888 pages
% 0.23/0.38 % E exiting
%------------------------------------------------------------------------------