TSTP Solution File: SWW393+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW393+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 : 600s
% DateTime : Thu Jul 21 00:02:10 EDT 2022
% Result : ContradictoryAxioms 88.48s 12.84s
% Output : CNFRefutation 88.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 86 ( 72 unt; 0 def)
% Number of atoms : 108 ( 88 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 17 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 149 ( 17 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_empty__def,axiom,
! [X6] : c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X6),hAPP(c_COMBK(tc_HOL_Obool,X6),c_fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X15,X6] : hAPP(c_Set_OCollect(X6),X15) = X15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X15,X6] : hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),X15)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6),X15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).
fof(fact_vimage__Collect__eq,axiom,
! [X15,X2,X14,X6] : hAPP(c_Set_Ovimage(X6,X14,X2),hAPP(c_Set_OCollect(X14),X15)) = hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(X14,tc_HOL_Obool,X6),X15),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_vimage__Collect__eq) ).
fof(fact_Collect__empty__eq,axiom,
! [X15,X6] :
( hAPP(c_Set_OCollect(X6),X15) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X15,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).
fof(help_c__COMBK__1,axiom,
! [X281,X280,X6,X8] : hAPP(hAPP(c_COMBK(X8,X6),X280),X281) = X280,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X11,X6] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),X11)) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__complement) ).
fof(fact_vimage__id,axiom,
! [X11,X6] : hAPP(c_Set_Ovimage(X6,X6,c_Fun_Oid(X6)),X11) = X11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_vimage__id) ).
fof(fact_UNIV__def,axiom,
! [X6] : c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X6),hAPP(c_COMBK(tc_HOL_Obool,X6),c_fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_UNIV__def) ).
fof(fact_Zero__not__Suc,axiom,
! [X68] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X68),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).
fof(fact_transfer__nat__int__numerals_I1_J,axiom,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_transfer__nat__int__numerals_I1_J) ).
fof(fact_Pls__def,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Pls__def) ).
fof(help_c__fNot__1,axiom,
! [X15] :
( ~ hBOOL(hAPP(c_fNot,X15))
| ~ hBOOL(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(fact_Compl__empty__eq,axiom,
! [X6] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Compl__empty__eq) ).
fof(fact_add__0__iff,axiom,
! [X18,X17,X6] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
=> ( X17 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X17),X18)
<=> X18 = c_Groups_Ozero__class_Ozero(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0__iff) ).
fof(fact_add__Suc__right,axiom,
! [X67,X68] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),hAPP(c_Nat_OSuc,X67)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),X67)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).
fof(fact_id__apply,axiom,
! [X7,X8] : hAPP(c_Fun_Oid(X8),X7) = X7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_id__apply) ).
fof(help_c__COMBB__1,axiom,
! [X144,X27,X15,X142,X6,X14] : hAPP(hAPP(hAPP(c_COMBB(X14,X6,X142),X15),X27),X144) = hAPP(X15,hAPP(X27,X144)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X68] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X68,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X67] : X67 != hAPP(c_Nat_OSuc,X67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(c_0_21,plain,
! [X8445] : c_Orderings_Obot__class_Obot(tc_fun(X8445,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8445),hAPP(c_COMBK(tc_HOL_Obool,X8445),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_22,plain,
! [X362,X363] : hAPP(c_Set_OCollect(X363),X362) = X362,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_23,plain,
! [X8507,X8508] : hAPP(c_Set_OCollect(X8508),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X8508),c_fNot),X8507)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8508,tc_HOL_Obool)),hAPP(c_Set_OCollect(X8508),X8507)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_24,plain,
! [X10960,X10961,X10962,X10963] : hAPP(c_Set_Ovimage(X10963,X10962,X10961),hAPP(c_Set_OCollect(X10962),X10960)) = hAPP(c_Set_OCollect(X10963),hAPP(hAPP(c_COMBB(X10962,tc_HOL_Obool,X10963),X10960),X10961)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_25,plain,
! [X594,X595,X596,X597,X599] :
( ( hAPP(c_Set_OCollect(X595),X594) != c_Orderings_Obot__class_Obot(tc_fun(X595,tc_HOL_Obool))
| ~ hBOOL(hAPP(X594,X596)) )
& ( hBOOL(hAPP(X597,esk18_1(X597)))
| hAPP(c_Set_OCollect(X599),X597) = c_Orderings_Obot__class_Obot(tc_fun(X599,tc_HOL_Obool)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq])])])])])]) ).
fof(c_0_26,plain,
! [X17481,X17482,X17483,X17484] : hAPP(hAPP(c_COMBK(X17484,X17483),X17482),X17481) = X17482,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_27,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,plain,
! [X2260,X2261] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2261,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2261,tc_HOL_Obool)),X2260)) = X2260,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_30,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,plain,
! [X11350,X11351] : hAPP(c_Set_Ovimage(X11351,X11351,c_Fun_Oid(X11351)),X11350) = X11350,
inference(variable_rename,[status(thm)],[fact_vimage__id]) ).
cnf(c_0_32,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Set_OCollect(X2),X4)) = hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( hBOOL(hAPP(X1,esk18_1(X1)))
| hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_36,plain,
! [X8698] : c_Orderings_Otop__class_Otop(tc_fun(X8698,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8698),hAPP(c_COMBK(tc_HOL_Obool,X8698),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_37,plain,
! [X3937] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X3937),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_38,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),
inference(split_conjunct,[status(thm)],[fact_transfer__nat__int__numerals_I1_J]) ).
cnf(c_0_39,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
cnf(c_0_40,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_28]),c_0_28]) ).
cnf(c_0_42,plain,
hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_28]),c_0_28]) ).
fof(c_0_44,plain,
! [X17507] :
( ~ hBOOL(hAPP(c_fNot,X17507))
| ~ hBOOL(X17507) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])]) ).
cnf(c_0_45,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk18_1(X1))) ),
inference(rw,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_46,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_47,plain,
! [X2121] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2121,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X2121,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X2121,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_48,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1),hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_49,plain,
! [X4048,X4049,X4050] :
( ( X4049 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4050),X4049),X4048)
| X4048 = c_Groups_Ozero__class_Ozero(X4050)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4050) )
& ( X4048 != c_Groups_Ozero__class_Ozero(X4050)
| X4049 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4050),X4049),X4048)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4050) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).
fof(c_0_50,plain,
! [X4011,X4012] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4012),hAPP(c_Nat_OSuc,X4011)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4012),X4011)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_51,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_53,plain,
! [X11358,X11359] : hAPP(c_Fun_Oid(X11359),X11358) = X11358,
inference(variable_rename,[status(thm)],[fact_id__apply]) ).
cnf(c_0_54,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_41]) ).
cnf(c_0_55,plain,
hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_56,plain,
! [X17485,X17486,X17487,X17488,X17489,X17490] : hAPP(hAPP(hAPP(c_COMBB(X17490,X17489,X17488),X17487),X17486),X17485) = hAPP(X17487,hAPP(X17486,X17485)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_57,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_58,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]),c_0_34]) ).
cnf(c_0_59,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
hAPP(c_COMBK(tc_HOL_Obool,X1),c_fTrue) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_61,plain,
( X3 = c_Groups_Ozero__class_Ozero(X2)
| X1 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X3)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X2)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]) ).
cnf(c_0_64,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_65,plain,
! [X4104] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4104),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4104,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_66,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
c_Fun_Oid(tc_HOL_Obool) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_HOL_Obool),c_fNot),c_fNot),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_68,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_70,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_59,c_0_41]) ).
cnf(c_0_71,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_72,plain,
hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) != X1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_52]),c_0_63])]),c_0_64]) ).
cnf(c_0_73,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1,
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_74,plain,
! [X3939] : X3939 != hAPP(c_Nat_OSuc,X3939),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_75,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_76,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_69,c_0_58]) ).
cnf(c_0_77,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_70]),c_0_71]),c_0_46]) ).
cnf(c_0_78,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2))) != X1,
inference(spm,[status(thm)],[c_0_72,c_0_62]) ).
cnf(c_0_79,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Int_Onat,c_Int_OPls)) = X1,
inference(rw,[status(thm)],[c_0_73,c_0_52]) ).
cnf(c_0_80,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_82,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81])]) ).
cnf(c_0_84,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_85,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_81]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW393+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 05:24:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 # ENIGMATIC: Selected SinE mode:
% 0.56/0.73 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.73 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.56/0.73 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.56/0.73 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 88.48/12.84 # ENIGMATIC: Solved by autoschedule:
% 88.48/12.84 # No SInE strategy applied
% 88.48/12.84 # Trying AutoSched0 for 150 seconds
% 88.48/12.84 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr
% 88.48/12.84 # and selection function SelectMaxLComplexAvoidPosPred.
% 88.48/12.84 #
% 88.48/12.84 # Preprocessing time : 1.390 s
% 88.48/12.84 # Presaturation interreduction done
% 88.48/12.84
% 88.48/12.84 # Proof found!
% 88.48/12.84 # SZS status ContradictoryAxioms
% 88.48/12.84 # SZS output start CNFRefutation
% See solution above
% 88.48/12.84 # Training examples: 0 positive, 0 negative
% 88.48/12.84
% 88.48/12.84 # -------------------------------------------------
% 88.48/12.84 # User time : 10.042 s
% 88.48/12.84 # System time : 0.214 s
% 88.48/12.84 # Total time : 10.256 s
% 88.48/12.84 # Maximum resident set size: 10792 pages
% 88.48/12.84
%------------------------------------------------------------------------------