%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV656+1 : TPTP v9.3.1. Released v9.3.0.
% 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 : Thu Sep 24 02:35:23 PM UTC 2026
% Result : Theorem 122.49s 18.83s
% Output : CNFRefutation 122.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 72 ( 34 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 23 |; 5 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X2368] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2368)
=> ! [X2369] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2369)
=> ( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X2368,X2369)) = cCoq_2eInit_2eDatatypes_2efalse
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(X2368) = cCoq_2eInit_2eDatatypes_2efalse ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_type_785',axiom,
! [X2206] :
( c_24__type__785___24t(X2206)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
=> cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X2206,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_785') ).
fof('$adef_Maplists.MapLists.ad_list_stutters_$a1',axiom,
! [X2370] : happ(cMaplists_2eMapLists_2ead__list__stutters,X2370) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X2370),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Maplists.MapLists.ad_list_stutters_$a1') ).
fof('Maplists.MapLists.ad_list_stutters_app_l',axiom,
! [X2368] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2368)
=> ! [X2369] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2369)
=> ( cMaplists_2eMapLists_2ead__list__stutters___24a1(X2368) = cCoq_2eInit_2eDatatypes_2etrue
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X2368,X2369)) = cCoq_2eInit_2eDatatypes_2etrue ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Maplists.MapLists.ad_list_stutters_app_l') ).
fof('$_discrim_Coq.Init.Datatypes.true$Coq.Init.Datatypes.false',axiom,
cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_discrim_Coq.Init.Datatypes.true$Coq.Init.Datatypes.false') ).
fof('$_inversion_Coq.Init.Datatypes.bool',axiom,
! [X1418] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(X1418)
=> ( X1418 = cCoq_2eInit_2eDatatypes_2efalse
| X1418 = cCoq_2eInit_2eDatatypes_2etrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inversion_Coq.Init.Datatypes.bool') ).
fof('$_typeof_Maplists.MapLists.ad_list_stutters',axiom,
c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Maplists.MapLists.ad_list_stutters') ).
fof(c_0_7,negated_conjecture,
~ ! [X2368] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2368)
=> ! [X2369] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2369)
=> ( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X2368,X2369)) = cCoq_2eInit_2eDatatypes_2efalse
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(X2368) = cCoq_2eInit_2eDatatypes_2efalse ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_8,plain,
! [X3611,X3612,X3613] :
( ( c_24__type__785___24t(X3613)
| ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X3613,esk150_1(X3613))) )
& ( c_24__type__785___24t(X3613)
| cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,esk150_1(X3613)) )
& ( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X3611,X3612))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X3612)
| ~ c_24__type__785___24t(X3611) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_type_785'])])])])])])]) ).
fof(c_0_9,negated_conjecture,
( cMaplists_2eMapLists_2ead__list__stutters___24a1(esk1_0) != cCoq_2eInit_2eDatatypes_2efalse
& cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,esk1_0,esk2_0)) = cCoq_2eInit_2eDatatypes_2efalse
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,esk2_0)
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,plain,
! [X2415] : happ(cMaplists_2eMapLists_2ead__list__stutters,X2415) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X2415),
inference(variable_rename,[status(thm)],['$adef_Maplists.MapLists.ad_list_stutters_$a1']) ).
fof(c_0_11,plain,
! [X2409,X2410] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X2409,X2410)) = cCoq_2eInit_2eDatatypes_2etrue
| cMaplists_2eMapLists_2ead__list__stutters___24a1(X2409) != cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2410)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2409) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Maplists.MapLists.ad_list_stutters_app_l'])])])]) ).
fof(c_0_12,plain,
cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse,
inference(fof_simplification,[status(thm)],['$_discrim_Coq.Init.Datatypes.true$Coq.Init.Datatypes.false']) ).
fof(c_0_13,plain,
! [X2395] :
( X2395 = cCoq_2eInit_2eDatatypes_2efalse
| X2395 = cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X2395) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_inversion_Coq.Init.Datatypes.bool'])])]) ).
cnf(c_0_14,plain,
( ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2)
| ~ c_24__type__785___24t(X1)
| cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters),
inference(split_conjunct,[status(thm)],['$_typeof_Maplists.MapLists.ad_list_stutters']) ).
cnf(c_0_16,negated_conjecture,
cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,esk1_0,esk2_0)) = cCoq_2eInit_2eDatatypes_2efalse,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
happ(cMaplists_2eMapLists_2ead__list__stutters,X1) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X1) != cCoq_2eInit_2eDatatypes_2etrue
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
| cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X1,X2)) = cCoq_2eInit_2eDatatypes_2etrue ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse,
inference(fof_nnf,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X1)
| X1 = cCoq_2eInit_2eDatatypes_2efalse
| X1 = cCoq_2eInit_2eDatatypes_2etrue ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
| cCoq_2eInit_2eDatatypes_2ebool___24t(happ(cMaplists_2eMapLists_2ead__list__stutters,X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
happ(cMaplists_2eMapLists_2ead__list__stutters,cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,esk1_0,esk2_0)) = cCoq_2eInit_2eDatatypes_2efalse,
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2)
| happ(cMaplists_2eMapLists_2ead__list__stutters,X1) != cCoq_2eInit_2eDatatypes_2etrue
| happ(cMaplists_2eMapLists_2ead__list__stutters,cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X1,X2)) = cCoq_2eInit_2eDatatypes_2etrue ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17]),c_0_17]) ).
cnf(c_0_24,negated_conjecture,
cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
cMaplists_2eMapLists_2ead__list__stutters___24a1(esk1_0) != cCoq_2eInit_2eDatatypes_2efalse,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,plain,
( ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
| happ(cMaplists_2eMapLists_2ead__list__stutters,X1) = cCoq_2eInit_2eDatatypes_2efalse
| happ(cMaplists_2eMapLists_2ead__list__stutters,X1) = cCoq_2eInit_2eDatatypes_2etrue ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,negated_conjecture,
happ(cMaplists_2eMapLists_2ead__list__stutters,esk1_0) != cCoq_2eInit_2eDatatypes_2etrue,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
happ(cMaplists_2eMapLists_2ead__list__stutters,esk1_0) != cCoq_2eInit_2eDatatypes_2efalse,
inference(rw,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV656+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n005.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Mon Sep 21 07:32:49 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 122.49/18.83 % Version: 3.5.1
% 122.49/18.83 % Preprocessing class: FMLLSMLLSSSNFFN.
% 122.49/18.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 122.49/18.83 % Starting new_bool_3 with 900s (3) cores
% 122.49/18.83 % Starting new_bool_1 with 900s (3) cores
% 122.49/18.83 % Starting sh5l with 300s (1) cores
% 122.49/18.83 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 122.49/18.83 % sh5l with pid 2919736 completed with status 0
% 122.49/18.83 % Result found by sh5l
% 122.49/18.83 % Preprocessing class: FMLLSMLLSSSNFFN.
% 122.49/18.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 122.49/18.83 % Starting new_bool_3 with 900s (3) cores
% 122.49/18.83 % Starting new_bool_1 with 900s (3) cores
% 122.49/18.83 % Starting sh5l with 300s (1) cores
% 122.49/18.83 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 122.49/18.83 % SinE strategy is gf500_gu_R04_F100_L20000
% 122.49/18.83 % Search class: FGHSM-SMLM33-DFFFFFNN
% 122.49/18.83 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 122.49/18.83 % Starting SubtermCWHack with 28s (1) cores
% 122.49/18.83 % SubtermCWHack with pid 2919745 completed with status 0
% 122.49/18.83 % Result found by SubtermCWHack
% 122.49/18.83 % Preprocessing class: FMLLSMLLSSSNFFN.
% 122.49/18.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 122.49/18.83 % Starting new_bool_3 with 900s (3) cores
% 122.49/18.83 % Starting new_bool_1 with 900s (3) cores
% 122.49/18.83 % Starting sh5l with 300s (1) cores
% 122.49/18.83 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 122.49/18.83 % SinE strategy is gf500_gu_R04_F100_L20000
% 122.49/18.83 % Search class: FGHSM-SMLM33-DFFFFFNN
% 122.49/18.83 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 122.49/18.83 % Starting SubtermCWHack with 28s (1) cores
% 122.49/18.83 % Preprocessing time : 0.160 s
% 122.49/18.83
% 122.49/18.83 % Proof found!
% 122.49/18.83 % SZS status Theorem
% 122.49/18.83 % SZS output start CNFRefutation
% See solution above
% 122.49/18.83 % Parsed axioms : 3042
% 122.49/18.83 % Removed by relevancy pruning/SinE : 1989
% 122.49/18.83 % Initial clauses : 5842
% 122.49/18.83 % Removed in clause preprocessing : 52
% 122.49/18.83 % Initial clauses in saturation : 5790
% 122.49/18.83 % Processed clauses : 42452
% 122.49/18.83 % ...of these trivial : 38
% 122.49/18.83 % ...subsumed : 33670
% 122.49/18.83 % ...remaining for further processing : 8744
% 122.49/18.83 % Other redundant clauses eliminated : 1767
% 122.49/18.83 % Clauses deleted for lack of memory : 0
% 122.49/18.83 % Backward-subsumed : 86
% 122.49/18.83 % Backward-rewritten : 79
% 122.49/18.83 % Generated clauses : 175070
% 122.49/18.83 % ...of the previous two non-redundant : 170777
% 122.49/18.83 % ...aggressively subsumed : 0
% 122.49/18.83 % Contextual simplify-reflections : 591
% 122.49/18.83 % Paramodulations : 173209
% 122.49/18.83 % Factorizations : 50
% 122.49/18.83 % NegExts : 0
% 122.49/18.83 % Equation resolutions : 1813
% 122.49/18.83 % Disequality decompositions : 0
% 122.49/18.83 % Total rewrite steps : 12909
% 122.49/18.83 % ...of those cached : 12129
% 122.49/18.83 % Propositional unsat checks : 0
% 122.49/18.83 % Propositional check models : 0
% 122.49/18.83 % Propositional check unsatisfiable : 0
% 122.49/18.83 % Propositional clauses : 0
% 122.49/18.83 % Propositional clauses after purity: 0
% 122.49/18.83 % Propositional unsat core size : 0
% 122.49/18.83 % Propositional preprocessing time : 0.000
% 122.49/18.83 % Propositional encoding time : 0.000
% 122.49/18.83 % Propositional solver time : 0.000
% 122.49/18.83 % Success case prop preproc time : 0.000
% 122.49/18.83 % Success case prop encoding time : 0.000
% 122.49/18.83 % Success case prop solver time : 0.000
% 122.49/18.83 % Current number of processed clauses : 8558
% 122.49/18.83 % Positive orientable unit clauses : 366
% 122.49/18.83 % Positive unorientable unit clauses: 0
% 122.49/18.83 % Negative unit clauses : 21
% 122.49/18.83 % Non-unit-clauses : 8171
% 122.49/18.83 % Current number of unprocessed clauses: 132879
% 122.49/18.83 % ...number of literals in the above : 734662
% 122.49/18.83 % Current number of archived formulas : 0
% 122.49/18.83 % Current number of archived clauses : 165
% 122.49/18.83 % Clause-clause subsumption calls (NU) : 17916237
% 122.49/18.83 % Rec. Clause-clause subsumption calls : 6710116
% 122.49/18.83 % Non-unit clause-clause subsumptions : 34056
% 122.49/18.83 % Unit Clause-clause subsumption calls : 40031
% 122.49/18.83 % Rewrite failures with RHS unbound : 0
% 122.49/18.83 % BW rewrite match attempts : 331
% 122.49/18.83 % BW rewrite match successes : 69
% 122.49/18.83 % Condensation attempts : 0
% 122.49/18.83 % Condensation successes : 0
% 122.49/18.83 % Termbank termtop insertions : 3559808
% 122.49/18.83 % Search garbage collected termcells : 108469
% 122.49/18.83
% 122.49/18.83 % -------------------------------------------------
% 122.49/18.83 % User time : 17.223 s
% 122.49/18.83 % System time : 0.269 s
% 122.49/18.83 % Total time : 17.492 s
% 122.49/18.83 % Maximum resident set size: 28724 pages
% 122.49/18.83
% 122.49/18.83 % -------------------------------------------------
% 122.49/18.83 % User time : 17.534 s
% 122.49/18.83 % System time : 0.302 s
% 122.49/18.83 % Total time : 17.836 s
% 122.49/18.83 % Maximum resident set size: 11776 pages
% 122.49/18.83 % E exiting
%------------------------------------------------------------------------------