%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP127^1 : 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 : n004.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 08:04:26 AM UTC 2026
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 20 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 107 ( 4 ~; 0 |; 0 &; 103 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 4 ( 4 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 6 ^; 29 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
c: $tType ).
thf(decl_sort2,type,
countable_Set_cset_c: $tType ).
thf(decl_sort3,type,
monomo197243225tT_a_m: $tType ).
thf(decl_sort4,type,
m: $tType ).
thf(decl_24,type,
counta472291938sert_c: c > countable_Set_cset_c > countable_Set_cset_c ).
thf(decl_28,type,
comp_M750374444_m_m_c: ( monomo197243225tT_a_m > m ) > ( c > monomo197243225tT_a_m ) > c > m ).
thf(decl_44,type,
monomo463139869_c_m_a: ( countable_Set_cset_c > ( c > m ) > m ) > countable_Set_cset_c > ( c > monomo197243225tT_a_m ) > monomo197243225tT_a_m ).
thf(decl_45,type,
monomo412532791tT_m_a: m > monomo197243225tT_a_m ).
thf(decl_46,type,
monomo624345106et_a_m: monomo197243225tT_a_m > m ).
thf(decl_47,type,
bot_bo1320844070cset_c: countable_Set_cset_c ).
thf(decl_52,type,
f: c > monomo197243225tT_a_m ).
thf(decl_53,type,
mergec: countable_Set_cset_c > ( c > m ) > m ).
thf(decl_54,type,
x: c ).
thf(conj_0,conjecture,
( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
= ( f @ x ) ),
file('/export/starexec/sandbox/tmp/tmp.TpsjPuSS79/E---3.1_1764930.p',conj_0) ).
thf(fact_19_cset__nondetM__base_Oaltc__nondet__def,axiom,
( monomo463139869_c_m_a
= ( ^ [X37: countable_Set_cset_c > ( c > m ) > m,X38: countable_Set_cset_c,X39: c > monomo197243225tT_a_m] : ( monomo412532791tT_m_a @ ( X37 @ X38 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X39 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TpsjPuSS79/E---3.1_1764930.p',fact_19_cset__nondetM__base_Oaltc__nondet__def) ).
thf(fact_17_comp__apply,axiom,
( comp_M750374444_m_m_c
= ( ^ [X18: monomo197243225tT_a_m > m,X32: c > monomo197243225tT_a_m,X33: c] : ( X18 @ ( X32 @ X33 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TpsjPuSS79/E---3.1_1764930.p',fact_17_comp__apply) ).
thf(fact_0_mergec__single,axiom,
! [X1: c,X2: c > m] :
( ( mergec @ ( counta472291938sert_c @ X1 @ bot_bo1320844070cset_c ) @ X2 )
= ( X2 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.TpsjPuSS79/E---3.1_1764930.p',fact_0_mergec__single) ).
thf(fact_86_nondetT_Oexhaust__sel,axiom,
! [X10: monomo197243225tT_a_m] :
( X10
= ( monomo412532791tT_m_a @ ( monomo624345106et_a_m @ X10 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.TpsjPuSS79/E---3.1_1764930.p',fact_86_nondetT_Oexhaust__sel) ).
thf(c_0_5,negated_conjecture,
( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
!= ( f @ x ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_6,plain,
! [X1792: countable_Set_cset_c > ( c > m ) > m,X1793: countable_Set_cset_c,X1794: c > monomo197243225tT_a_m] :
( ( monomo463139869_c_m_a @ X1792 @ X1793 @ X1794 )
= ( monomo412532791tT_m_a @ ( X1792 @ X1793 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X1794 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_19_cset__nondetM__base_Oaltc__nondet__def])]) ).
thf(c_0_7,plain,
! [X1786: monomo197243225tT_a_m > m,X1787: c > monomo197243225tT_a_m,X1788: c] :
( ( comp_M750374444_m_m_c @ X1786 @ X1787 @ X1788 )
= ( X1786 @ ( X1787 @ X1788 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_17_comp__apply])]) ).
thf(c_0_8,negated_conjecture,
( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
!= ( f @ x ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1893: countable_Set_cset_c > ( c > m ) > m,X1894: countable_Set_cset_c,X1895: c > monomo197243225tT_a_m] :
( ( monomo463139869_c_m_a @ X1893 @ X1894 @ X1895 )
= ( monomo412532791tT_m_a @ ( X1893 @ X1894 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X1895 ) ) ) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1845: c,X1846: c > m] :
( ( mergec @ ( counta472291938sert_c @ X1845 @ bot_bo1320844070cset_c ) @ X1846 )
= ( X1846 @ X1845 ) ),
inference(variable_rename,[status(thm)],[fact_0_mergec__single]) ).
thf(c_0_11,plain,
! [X1887: monomo197243225tT_a_m > m,X1888: c > monomo197243225tT_a_m,X1889: c] :
( ( comp_M750374444_m_m_c @ X1887 @ X1888 @ X1889 )
= ( X1887 @ ( X1888 @ X1889 ) ) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X2186: monomo197243225tT_a_m] :
( X2186
= ( monomo412532791tT_m_a @ ( monomo624345106et_a_m @ X2186 ) ) ),
inference(variable_rename,[status(thm)],[fact_86_nondetT_Oexhaust__sel]) ).
thf(c_0_13,negated_conjecture,
( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
!= ( f @ x ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_14,plain,
! [X3: countable_Set_cset_c,X15: countable_Set_cset_c > ( c > m ) > m,X9: c > monomo197243225tT_a_m] :
( ( monomo463139869_c_m_a @ X15 @ X3 @ X9 )
= ( monomo412532791tT_m_a @ ( X15 @ X3 @ ( comp_M750374444_m_m_c @ monomo624345106et_a_m @ X9 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X2: c > m,X1: c] :
( ( mergec @ ( counta472291938sert_c @ X1 @ bot_bo1320844070cset_c ) @ X2 )
= ( X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
! [X18: monomo197243225tT_a_m > m,X9: c > monomo197243225tT_a_m,X1: c] :
( ( comp_M750374444_m_m_c @ X18 @ X9 @ X1 )
= ( X18 @ ( X9 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X10: monomo197243225tT_a_m] :
( X10
= ( monomo412532791tT_m_a @ ( monomo624345106et_a_m @ X10 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,negated_conjecture,
( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ x @ bot_bo1320844070cset_c ) @ f )
!= ( f @ x ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,plain,
! [X9: c > monomo197243225tT_a_m,X1: c] :
( ( monomo463139869_c_m_a @ mergec @ ( counta472291938sert_c @ X1 @ bot_bo1320844070cset_c ) @ X9 )
= ( X9 @ X1 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP127^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.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 19:57:22 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.28 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.TpsjPuSS79/E---3.1_1764930.p
% 0.20/0.38 % Version: 3.5.1-ho
% 0.20/0.38 % partial match(1): HSLSSMSSSSSNHHA
% 0.20/0.38 % Preprocessing class: HSLSSMSSSSSCHHA.
% 0.20/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.38 % Starting new_ho_10 with 600s (2) cores
% 0.20/0.38 % Starting sh3 with 600s (2) cores
% 0.20/0.38 % Starting ho_unfolding_3 with 600s (2) cores
% 0.20/0.38 % Starting new_ho_10_cnf2 with 600s (2) cores
% 0.20/0.38 % sh3 with pid 1764985 completed with status 0
% 0.20/0.38 % Result found by sh3
% 0.20/0.38 % partial match(1): HSLSSMSSSSSNHHA
% 0.20/0.38 % Preprocessing class: HSLSSMSSSSSCHHA.
% 0.20/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.38 % Starting new_ho_10 with 600s (2) cores
% 0.20/0.38 % Starting sh3 with 600s (2) cores
% 0.20/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.38 % No SInE strategy applied
% 0.20/0.38 % Search class: HGHSM-FSLF32-MHHFFSBN
% 0.20/0.38 % partial match(1): HGHSM-FSLM32-MHHFFSBN
% 0.20/0.38 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.38 % Starting SubtermCWHack with 61s (1) cores
% 0.20/0.38 % Starting sh3 with 361s (1) cores
% 0.20/0.38 % sh3 with pid 1765001 completed with status 0
% 0.20/0.38 % Result found by sh3
% 0.20/0.38 % partial match(1): HSLSSMSSSSSNHHA
% 0.20/0.38 % Preprocessing class: HSLSSMSSSSSCHHA.
% 0.20/0.38 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.38 % Starting new_ho_10 with 600s (2) cores
% 0.20/0.38 % Starting sh3 with 600s (2) cores
% 0.20/0.38 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.38 % No SInE strategy applied
% 0.20/0.38 % Search class: HGHSM-FSLF32-MHHFFSBN
% 0.20/0.38 % partial match(1): HGHSM-FSLM32-MHHFFSBN
% 0.20/0.38 % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.20/0.38 % Starting SubtermCWHack with 61s (1) cores
% 0.20/0.38 % Starting sh3 with 361s (1) cores
% 0.20/0.38 % Preprocessing time : 0.005 s
% 0.20/0.38 % Presaturation interreduction done
% 0.20/0.38
% 0.20/0.38 % Proof found!
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start CNFRefutation
% See solution above
% 0.20/0.38 % Parsed axioms : 353
% 0.20/0.38 % Removed by relevancy pruning/SinE : 0
% 0.20/0.38 % Initial clauses : 516
% 0.20/0.38 % Removed in clause preprocessing : 89
% 0.20/0.38 % Initial clauses in saturation : 427
% 0.20/0.38 % Processed clauses : 667
% 0.20/0.38 % ...of these trivial : 72
% 0.20/0.38 % ...subsumed : 175
% 0.20/0.38 % ...remaining for further processing : 420
% 0.20/0.38 % Other redundant clauses eliminated : 109
% 0.20/0.38 % Clauses deleted for lack of memory : 0
% 0.20/0.38 % Backward-subsumed : 1
% 0.20/0.38 % Backward-rewritten : 4
% 0.20/0.38 % Generated clauses : 701
% 0.68/0.38 % ...of the previous two non-redundant : 502
% 0.68/0.38 % ...aggressively subsumed : 0
% 0.68/0.38 % Contextual simplify-reflections : 4
% 0.68/0.38 % Paramodulations : 572
% 0.68/0.38 % Factorizations : 0
% 0.68/0.38 % NegExts : 0
% 0.68/0.38 % Equation resolutions : 114
% 0.68/0.38 % Disequality decompositions : 0
% 0.68/0.38 % Total rewrite steps : 369
% 0.68/0.38 % ...of those cached : 193
% 0.68/0.38 % Propositional unsat checks : 0
% 0.68/0.38 % Propositional check models : 0
% 0.68/0.38 % Propositional check unsatisfiable : 0
% 0.68/0.38 % Propositional clauses : 0
% 0.68/0.38 % Propositional clauses after purity: 0
% 0.68/0.38 % Propositional unsat core size : 0
% 0.68/0.38 % Propositional preprocessing time : 0.000
% 0.68/0.38 % Propositional encoding time : 0.000
% 0.68/0.38 % Propositional solver time : 0.000
% 0.68/0.38 % Success case prop preproc time : 0.000
% 0.68/0.38 % Success case prop encoding time : 0.000
% 0.68/0.38 % Success case prop solver time : 0.000
% 0.68/0.38 % Current number of processed clauses : 126
% 0.68/0.38 % Positive orientable unit clauses : 52
% 0.68/0.38 % Positive unorientable unit clauses: 1
% 0.68/0.38 % Negative unit clauses : 6
% 0.68/0.38 % Non-unit-clauses : 67
% 0.68/0.38 % Current number of unprocessed clauses: 454
% 0.68/0.38 % ...number of literals in the above : 1171
% 0.68/0.38 % Current number of archived formulas : 0
% 0.68/0.38 % Current number of archived clauses : 197
% 0.68/0.38 % Clause-clause subsumption calls (NU) : 6130
% 0.68/0.38 % Rec. Clause-clause subsumption calls : 4426
% 0.68/0.38 % Non-unit clause-clause subsumptions : 123
% 0.68/0.38 % Unit Clause-clause subsumption calls : 422
% 0.68/0.38 % Rewrite failures with RHS unbound : 0
% 0.68/0.38 % BW rewrite match attempts : 1688
% 0.68/0.38 % BW rewrite match successes : 16
% 0.68/0.38 % Condensation attempts : 0
% 0.68/0.38 % Condensation successes : 0
% 0.68/0.38 % Termbank termtop insertions : 48182
% 0.68/0.38 % Search garbage collected termcells : 11111
% 0.68/0.38
% 0.68/0.38 % -------------------------------------------------
% 0.68/0.38 % User time : 0.057 s
% 0.68/0.38 % System time : 0.008 s
% 0.68/0.38 % Total time : 0.065 s
% 0.68/0.38 % Maximum resident set size: 6796 pages
% 0.68/0.38
% 0.68/0.38 % -------------------------------------------------
% 0.68/0.38 % User time : 0.097 s
% 0.68/0.38 % System time : 0.015 s
% 0.68/0.38 % Total time : 0.112 s
% 0.68/0.38 % Maximum resident set size: 5632 pages
% 0.68/0.38 % E exiting
%------------------------------------------------------------------------------