%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEV646+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:15:53 PM UTC 2026
% Result : Theorem 40.04s 40.69s
% Output : CNFRefutation 40.04s
% 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,
( cIntMap_2eFset_2eFSet___24t(esk1_0)
& cIntMap_2eFset_2eFSet___24t(esk2_0)
& cIntMap_2eFset_2eFSet___24t(esk3_0)
& ~ 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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,plain,
! [X3156,X3157] : cIntMap_2eFset_2eFSetUnion___24a2(X3156,X3157) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X3156,X3157),
inference(variable_rename,[status(thm)],['$_def_IntMap.Fset.FSetUnion']) ).
fof(c_0_8,plain,
! [X3163] :
( ( ~ cIntMap_2eFset_2eFSet___24t(X3163)
| cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X3163) )
& ( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X3163)
| cIntMap_2eFset_2eFSet___24t(X3163) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_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,
! [X3194,X3195,X3196,X3197] :
( ~ cType___24t(X3194)
| ~ cIntMap_2eMap_2eMap___24t(X3194,X3195)
| ~ cIntMap_2eMap_2eMap___24t(X3194,X3196)
| ~ cIntMap_2eMap_2eMap___24t(X3194,X3197)
| cMapaxioms_2eeqmap___24a3(X3194,cIntMap_2eMap_2eMapMerge___24a3(X3194,cIntMap_2eMap_2eMapMerge___24a3(X3194,X3195,X3196),X3197),cIntMap_2eMap_2eMapMerge___24a3(X3194,X3195,cIntMap_2eMap_2eMapMerge___24a3(X3194,X3196,X3197))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Mapaxioms.MapMerge_assoc'])])]) ).
cnf(c_0_12,plain,
( cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X1)
| ~ cIntMap_2eFset_2eFSet___24t(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,
( 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)))
| ~ cType___24t(X1)
| ~ cIntMap_2eMap_2eMap___24t(X1,X2)
| ~ cIntMap_2eMap_2eMap___24t(X1,X3)
| ~ cIntMap_2eMap_2eMap___24t(X1,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
% 0.00/0.12 % Problem : SEV646+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n008.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 04:05:13 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 40.04/40.69 % Version : CSE_E---1.7
% 40.04/40.69 % Problem : theBenchmark.p
% 40.04/40.69 % SZS status Theorem for theBenchmark.p
% 40.04/40.69 % SZS output start CNFRefutation
% See solution above
% 40.04/40.69 % Total time : 40.302s
%------------------------------------------------------------------------------