%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV646+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:35:22 PM UTC 2026
% Result : Theorem 0.15s 10.62s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 49 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 15 ~; 11 |; 4 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X49] :
( cIntMap_2eFset_2eFSet___24t(X49)
=> ! [X50] :
( cIntMap_2eFset_2eFSet___24t(X50)
=> ! [X2820] :
( cIntMap_2eFset_2eFSet___24t(X2820)
=> cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X49,X50),X2820),cIntMap_2eFset_2eFSetUnion___24a2(X49,cIntMap_2eFset_2eFSetUnion___24a2(X50,X2820))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_def_IntMap.Fset.FSetUnion',axiom,
! [X49,X50] : cIntMap_2eFset_2eFSetUnion___24a2(X49,X50) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X49,X50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IntMap.Fset.FSetUnion') ).
fof('$_def_IntMap.Fset.FSet',axiom,
! [X465] :
( cIntMap_2eFset_2eFSet___24t(X465)
<=> cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IntMap.Fset.FSet') ).
fof('Mapaxioms.MapMerge_assoc',axiom,
! [X39] :
( cType___24t(X39)
=> ! [X64] :
( cIntMap_2eMap_2eMap___24t(X39,X64)
=> ! [X65] :
( cIntMap_2eMap_2eMap___24t(X39,X65)
=> ! [X2835] :
( cIntMap_2eMap_2eMap___24t(X39,X2835)
=> cMapaxioms_2eeqmap___24a3(X39,cIntMap_2eMap_2eMapMerge___24a3(X39,cIntMap_2eMap_2eMapMerge___24a3(X39,X64,X65),X2835),cIntMap_2eMap_2eMapMerge___24a3(X39,X64,cIntMap_2eMap_2eMapMerge___24a3(X39,X65,X2835))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Mapaxioms.MapMerge_assoc') ).
fof('$_typeof_Coq.Init.Datatypes.unit',axiom,
cType___24t(cCoq_2eInit_2eDatatypes_2eunit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.unit') ).
fof(c_0_5,negated_conjecture,
~ ! [X49] :
( cIntMap_2eFset_2eFSet___24t(X49)
=> ! [X50] :
( cIntMap_2eFset_2eFSet___24t(X50)
=> ! [X2820] :
( cIntMap_2eFset_2eFSet___24t(X2820)
=> cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X49,X50),X2820),cIntMap_2eFset_2eFSetUnion___24a2(X49,cIntMap_2eFset_2eFSetUnion___24a2(X50,X2820))) ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_6,negated_conjecture,
( ~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,esk2_0),esk3_0),cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,cIntMap_2eFset_2eFSetUnion___24a2(esk2_0,esk3_0)))
& cIntMap_2eFset_2eFSet___24t(esk3_0)
& cIntMap_2eFset_2eFSet___24t(esk2_0)
& cIntMap_2eFset_2eFSet___24t(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_7,plain,
! [X2874,X2875] : cIntMap_2eFset_2eFSetUnion___24a2(X2874,X2875) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X2874,X2875),
inference(variable_rename,[status(thm)],['$_def_IntMap.Fset.FSetUnion']) ).
fof(c_0_8,plain,
! [X2881] :
( ( cIntMap_2eFset_2eFSet___24t(X2881)
| ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X2881) )
& ( cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X2881)
| ~ cIntMap_2eFset_2eFSet___24t(X2881) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_IntMap.Fset.FSet'])])]) ).
cnf(c_0_9,negated_conjecture,
~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,esk2_0),esk3_0),cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,cIntMap_2eFset_2eFSetUnion___24a2(esk2_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
cIntMap_2eFset_2eFSetUnion___24a2(X1,X2) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X2913,X2914,X2915,X2916] :
( cMapaxioms_2eeqmap___24a3(X2913,cIntMap_2eMap_2eMapMerge___24a3(X2913,cIntMap_2eMap_2eMapMerge___24a3(X2913,X2914,X2915),X2916),cIntMap_2eMap_2eMapMerge___24a3(X2913,X2914,cIntMap_2eMap_2eMapMerge___24a3(X2913,X2915,X2916)))
| ~ cIntMap_2eMap_2eMap___24t(X2913,X2916)
| ~ cIntMap_2eMap_2eMap___24t(X2913,X2915)
| ~ cIntMap_2eMap_2eMap___24t(X2913,X2914)
| ~ cType___24t(X2913) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Mapaxioms.MapMerge_assoc'])])])]) ).
cnf(c_0_12,plain,
( ~ cIntMap_2eFset_2eFSet___24t(X1)
| cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
cIntMap_2eFset_2eFSet___24t(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
cIntMap_2eFset_2eFSet___24t(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
cIntMap_2eFset_2eFSet___24t(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,esk1_0,esk2_0),esk3_0),cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,esk1_0,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,esk2_0,esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_17,plain,
( ~ cIntMap_2eMap_2eMap___24t(X1,X4)
| ~ cIntMap_2eMap_2eMap___24t(X1,X3)
| ~ cIntMap_2eMap_2eMap___24t(X1,X2)
| ~ cType___24t(X1)
| cMapaxioms_2eeqmap___24a3(X1,cIntMap_2eMap_2eMapMerge___24a3(X1,cIntMap_2eMap_2eMapMerge___24a3(X1,X2,X3),X4),cIntMap_2eMap_2eMapMerge___24a3(X1,X2,cIntMap_2eMap_2eMapMerge___24a3(X1,X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,esk3_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,esk2_0),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_21,plain,
cType___24t(cCoq_2eInit_2eDatatypes_2eunit),
inference(split_conjunct,[status(thm)],['$_typeof_Coq.Init.Datatypes.unit']) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV646+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/10.38 % Computer : n011.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Mon Sep 21 07:34:20 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.15/10.62 % Version: 3.5.1
% 0.15/10.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.15/10.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.62 % Starting new_bool_3 with 900s (3) cores
% 0.15/10.62 % Starting new_bool_1 with 900s (3) cores
% 0.15/10.62 % Starting sh5l with 300s (1) cores
% 0.15/10.62 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.15/10.62 % new_bool_1 with pid 1355768 completed with status 0
% 0.15/10.62 % Result found by new_bool_1
% 0.15/10.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.15/10.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.62 % Starting new_bool_3 with 900s (3) cores
% 0.15/10.62 % Starting new_bool_1 with 900s (3) cores
% 0.15/10.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.62 % Search class: FGUSF-FSLM32-MFFFFFNN
% 0.15/10.62 % partial match(1): FGHSF-FSLM32-MFFFFFNN
% 0.15/10.62 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.15/10.62 % Starting SubtermCWHack with 82s (1) cores
% 0.15/10.62 % Starting new_bool_1 with 91s (1) cores
% 0.15/10.62 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 82s (1) cores
% 0.15/10.62 % SubtermCWHack with pid 1355771 completed with status 0
% 0.15/10.62 % Result found by SubtermCWHack
% 0.15/10.62 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.15/10.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.62 % Starting new_bool_3 with 900s (3) cores
% 0.15/10.62 % Starting new_bool_1 with 900s (3) cores
% 0.15/10.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.62 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.62 % Search class: FGUSF-FSLM32-MFFFFFNN
% 0.15/10.62 % partial match(1): FGHSF-FSLM32-MFFFFFNN
% 0.15/10.62 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 0.15/10.62 % Starting SubtermCWHack with 82s (1) cores
% 0.15/10.62 % Preprocessing time : 0.005 s
% 0.15/10.62
% 0.15/10.62 % Proof found!
% 0.15/10.62 % SZS status Theorem
% 0.15/10.62 % SZS output start CNFRefutation
% See solution above
% 0.15/10.62 % Parsed axioms : 3068
% 0.15/10.62 % Removed by relevancy pruning/SinE : 2987
% 0.15/10.62 % Initial clauses : 127
% 0.15/10.62 % Removed in clause preprocessing : 4
% 0.15/10.62 % Initial clauses in saturation : 123
% 0.15/10.62 % Processed clauses : 462
% 0.15/10.62 % ...of these trivial : 2
% 0.15/10.62 % ...subsumed : 228
% 0.15/10.62 % ...remaining for further processing : 232
% 0.15/10.62 % Other redundant clauses eliminated : 4
% 0.15/10.62 % Clauses deleted for lack of memory : 0
% 0.15/10.62 % Backward-subsumed : 0
% 0.15/10.62 % Backward-rewritten : 0
% 0.15/10.62 % Generated clauses : 662
% 0.15/10.62 % ...of the previous two non-redundant : 591
% 0.15/10.62 % ...aggressively subsumed : 0
% 0.15/10.62 % Contextual simplify-reflections : 18
% 0.15/10.62 % Paramodulations : 648
% 0.15/10.62 % Factorizations : 7
% 0.15/10.62 % NegExts : 0
% 0.15/10.62 % Equation resolutions : 7
% 0.15/10.62 % Disequality decompositions : 0
% 0.15/10.62 % Total rewrite steps : 588
% 0.15/10.62 % ...of those cached : 563
% 0.15/10.62 % Propositional unsat checks : 0
% 0.15/10.62 % Propositional check models : 0
% 0.15/10.62 % Propositional check unsatisfiable : 0
% 0.15/10.62 % Propositional clauses : 0
% 0.15/10.62 % Propositional clauses after purity: 0
% 0.15/10.62 % Propositional unsat core size : 0
% 0.15/10.62 % Propositional preprocessing time : 0.000
% 0.15/10.62 % Propositional encoding time : 0.000
% 0.15/10.62 % Propositional solver time : 0.000
% 0.15/10.62 % Success case prop preproc time : 0.000
% 0.15/10.62 % Success case prop encoding time : 0.000
% 0.15/10.62 % Success case prop solver time : 0.000
% 0.15/10.62 % Current number of processed clauses : 232
% 0.15/10.62 % Positive orientable unit clauses : 24
% 0.15/10.62 % Positive unorientable unit clauses: 0
% 0.15/10.62 % Negative unit clauses : 3
% 0.15/10.62 % Non-unit-clauses : 205
% 0.15/10.62 % Current number of unprocessed clauses: 251
% 0.15/10.62 % ...number of literals in the above : 1536
% 0.15/10.62 % Current number of archived formulas : 0
% 0.15/10.62 % Current number of archived clauses : 0
% 0.15/10.62 % Clause-clause subsumption calls (NU) : 6437
% 0.15/10.62 % Rec. Clause-clause subsumption calls : 2144
% 0.15/10.62 % Non-unit clause-clause subsumptions : 157
% 0.15/10.62 % Unit Clause-clause subsumption calls : 31
% 0.15/10.62 % Rewrite failures with RHS unbound : 0
% 0.15/10.62 % BW rewrite match attempts : 3
% 0.15/10.62 % BW rewrite match successes : 0
% 0.15/10.62 % Condensation attempts : 0
% 0.15/10.62 % Condensation successes : 0
% 0.15/10.62 % Termbank termtop insertions : 74346
% 0.15/10.62 % Search garbage collected termcells : 38376
% 0.15/10.62
% 0.15/10.62 % -------------------------------------------------
% 0.15/10.62 % User time : 0.046 s
% 0.15/10.62 % System time : 0.032 s
% 0.15/10.62 % Total time : 0.079 s
% 0.15/10.62 % Maximum resident set size: 16180 pages
% 0.15/10.62
% 0.15/10.62 % -------------------------------------------------
% 0.15/10.62 % User time : 0.140 s
% 0.15/10.62 % System time : 0.069 s
% 0.15/10.62 % Total time : 0.209 s
% 0.15/10.62 % Maximum resident set size: 11776 pages
% 0.15/10.62 % E exiting
%------------------------------------------------------------------------------