TSTP Solution File: SWW340+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW340+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:11:05 EDT 2023
% Result : ContradictoryAxioms 98.69s 14.83s
% Output : CNFRefutation 98.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 80 ( 64 unt; 0 def)
% Number of atoms : 104 ( 81 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 18 |; 2 &)
% ( 3 <=>; 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 : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 131 ( 16 sgn; 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X19,X5] :
( hAPP(c_Set_OCollect(X5),X19) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X19,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse)),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X19,X5] : hAPP(c_Set_OCollect(X5),X19) = X19,
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X19,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X19)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X19)),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X321,X320,X5,X39] : hAPP(hAPP(c_COMBK(X39,X5),X320),X321) = X320,
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X20,X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X20)) = X20,
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X19] :
( ~ hBOOL(hAPP(c_fNot,X19))
| ~ hBOOL(X19) ),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',help_c__fNot__1) ).
fof(fact_UNIV__def,axiom,
! [X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fTrue)),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_UNIV__def) ).
fof(fact_Zero__neq__Suc,axiom,
! [X66] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X66),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Zero__neq__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/tmp/tmp.hawNrS3B0V/E---3.1_20663.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/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Pls__def) ).
fof(help_c__COMBB__1,axiom,
! [X33,X27,X19,X179,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X179),X19),X27),X33) = hAPP(X19,hAPP(X27,X33)),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',help_c__COMBB__1) ).
fof(fact_Compl__empty__eq,axiom,
! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Compl__empty__eq) ).
fof(fact_add__0__iff,axiom,
! [X6,X23,X5] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
=> ( X23 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X23),X6)
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_add__0__iff) ).
fof(fact_add__Suc__right,axiom,
! [X50,X66] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X66),hAPP(c_Nat_OSuc,X50)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X66),X50)),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_add__Suc__right) ).
fof(fact_rev__rev__ident,axiom,
! [X244,X39] : hAPP(c_List_Orev(X39),hAPP(c_List_Orev(X39),X244)) = X244,
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_rev__rev__ident) ).
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/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X66] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X66),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X66,
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X50] : X50 != hAPP(c_Nat_OSuc,X50),
file('/export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p',fact_n__not__Suc__n) ).
fof(c_0_19,plain,
! [X19,X5] :
( hAPP(c_Set_OCollect(X5),X19) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X19,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_20,plain,
! [X11159] : c_Orderings_Obot__class_Obot(tc_fun(X11159,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X11159),hAPP(c_COMBK(tc_HOL_Obool,X11159),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_21,plain,
! [X11175,X11176] : hAPP(c_Set_OCollect(X11176),X11175) = X11175,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_22,plain,
! [X11139,X11140] : hAPP(c_Set_OCollect(X11140),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X11140),c_fNot),X11139)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11140,tc_HOL_Obool)),hAPP(c_Set_OCollect(X11140),X11139)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_23,plain,
! [X11160,X11161,X11162,X11163,X11165] :
( ( hAPP(c_Set_OCollect(X11161),X11160) != c_Orderings_Obot__class_Obot(tc_fun(X11161,tc_HOL_Obool))
| ~ hBOOL(hAPP(X11160,X11162)) )
& ( hBOOL(hAPP(X11163,esk314_1(X11163)))
| hAPP(c_Set_OCollect(X11165),X11163) = c_Orderings_Obot__class_Obot(tc_fun(X11165,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)],[c_0_19])])])])]) ).
fof(c_0_24,plain,
! [X17689,X17690,X17691,X17692] : hAPP(hAPP(c_COMBK(X17692,X17691),X17690),X17689) = X17690,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_25,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_20]) ).
cnf(c_0_26,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X5561,X5562] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5562,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5562,tc_HOL_Obool)),X5561)) = X5561,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_28,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_22]) ).
fof(c_0_29,plain,
! [X19] :
( ~ hBOOL(hAPP(c_fNot,X19))
| ~ hBOOL(X19) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(X1,esk314_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_23]) ).
cnf(c_0_31,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,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_25,c_0_26]) ).
fof(c_0_33,plain,
! [X11183] : c_Orderings_Otop__class_Otop(tc_fun(X11183,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X11183),hAPP(c_COMBK(tc_HOL_Obool,X11183),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_34,plain,
! [X2785] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2785),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
cnf(c_0_35,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_36,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_37,plain,
! [X17693,X17694,X17695,X17696,X17697,X17698] : hAPP(hAPP(hAPP(c_COMBB(X17698,X17697,X17696),X17695),X17694),X17693) = hAPP(X17695,hAPP(X17694,X17693)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_38,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_27]) ).
cnf(c_0_39,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_28,c_0_26]),c_0_26]) ).
fof(c_0_40,plain,
! [X17715] :
( ~ hBOOL(hAPP(c_fNot,X17715))
| ~ hBOOL(X17715) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk314_1(X1))) ),
inference(rw,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_42,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_43,plain,
! [X6367] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6367,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X6367,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X6367,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_44,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_33]) ).
fof(c_0_45,plain,
! [X2748,X2749,X2750] :
( ( X2749 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2750),X2749),X2748)
| X2748 = c_Groups_Ozero__class_Ozero(X2750)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2750) )
& ( X2748 != c_Groups_Ozero__class_Ozero(X2750)
| X2749 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2750),X2749),X2748)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2750) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).
fof(c_0_46,plain,
! [X2118,X2119] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2119),hAPP(c_Nat_OSuc,X2118)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2119),X2118)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_47,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_49,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,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_38,c_0_39]),c_0_39]) ).
fof(c_0_51,plain,
! [X15726,X15727] : hAPP(c_List_Orev(X15727),hAPP(c_List_Orev(X15727),X15726)) = X15726,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_52,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_42]),c_0_31]) ).
cnf(c_0_54,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_43]) ).
cnf(c_0_55,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_44,c_0_26]) ).
cnf(c_0_56,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_45]) ).
cnf(c_0_57,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_46]) ).
cnf(c_0_58,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_59,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_60,plain,
! [X2797] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2797),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2797,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_61,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]) ).
cnf(c_0_62,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,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_54,c_0_39]) ).
cnf(c_0_65,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_31,c_0_55]) ).
cnf(c_0_66,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_56,c_0_57]),c_0_48]),c_0_58])]),c_0_59]) ).
cnf(c_0_67,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_60]) ).
fof(c_0_68,plain,
! [X1199] : X1199 != hAPP(c_Nat_OSuc,X1199),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_69,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_71,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_65]),c_0_42]) ).
cnf(c_0_72,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_66,c_0_57]) ).
cnf(c_0_73,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_67,c_0_48]) ).
cnf(c_0_74,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_76,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75])]) ).
cnf(c_0_78,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_79,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_75]),c_0_74]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW340+1 : TPTP v8.1.2. Released v5.2.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 22:07:20 EDT 2023
% 0.10/0.31 % CPUTime :
% 1.28/1.48 Running first-order model finding
% 1.28/1.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.hawNrS3B0V/E---3.1_20663.p
% 98.69/14.83 # Version: 3.1pre001
% 98.69/14.83 # Preprocessing class: FMLMSMSMSSSNFFN.
% 98.69/14.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 98.69/14.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 98.69/14.83 # Starting new_bool_3 with 300s (1) cores
% 98.69/14.83 # Starting new_bool_1 with 300s (1) cores
% 98.69/14.83 # Starting sh5l with 300s (1) cores
% 98.69/14.83 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 20740 completed with status 0
% 98.69/14.83 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 98.69/14.83 # Preprocessing class: FMLMSMSMSSSNFFN.
% 98.69/14.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 98.69/14.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 98.69/14.83 # No SInE strategy applied
% 98.69/14.83 # Search class: FGHSM-SMLM33-DFFFFFNN
% 98.69/14.83 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 98.69/14.83 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 98.69/14.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 98.69/14.83 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 98.69/14.83 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 98.69/14.83 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 98.69/14.83 # SAT001_MinMin_p005000_rr with pid 20747 completed with status 0
% 98.69/14.83 # Result found by SAT001_MinMin_p005000_rr
% 98.69/14.83 # Preprocessing class: FMLMSMSMSSSNFFN.
% 98.69/14.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 98.69/14.83 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 98.69/14.83 # No SInE strategy applied
% 98.69/14.83 # Search class: FGHSM-SMLM33-DFFFFFNN
% 98.69/14.83 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 98.69/14.83 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 98.69/14.83 # Preprocessing time : 0.182 s
% 98.69/14.83 # Presaturation interreduction done
% 98.69/14.83
% 98.69/14.83 # Proof found!
% 98.69/14.83 # SZS status ContradictoryAxioms
% 98.69/14.83 # SZS output start CNFRefutation
% See solution above
% 98.69/14.83 # Parsed axioms : 5230
% 98.69/14.83 # Removed by relevancy pruning/SinE : 0
% 98.69/14.83 # Initial clauses : 7615
% 98.69/14.83 # Removed in clause preprocessing : 231
% 98.69/14.83 # Initial clauses in saturation : 7384
% 98.69/14.83 # Processed clauses : 21312
% 98.69/14.83 # ...of these trivial : 484
% 98.69/14.83 # ...subsumed : 6817
% 98.69/14.83 # ...remaining for further processing : 14011
% 98.69/14.83 # Other redundant clauses eliminated : 1476
% 98.69/14.83 # Clauses deleted for lack of memory : 0
% 98.69/14.83 # Backward-subsumed : 111
% 98.69/14.83 # Backward-rewritten : 475
% 98.69/14.83 # Generated clauses : 201405
% 98.69/14.83 # ...of the previous two non-redundant : 192722
% 98.69/14.83 # ...aggressively subsumed : 0
% 98.69/14.83 # Contextual simplify-reflections : 26
% 98.69/14.83 # Paramodulations : 199945
% 98.69/14.83 # Factorizations : 2
% 98.69/14.83 # NegExts : 0
% 98.69/14.83 # Equation resolutions : 1524
% 98.69/14.83 # Total rewrite steps : 57412
% 98.69/14.83 # Propositional unsat checks : 3
% 98.69/14.83 # Propositional check models : 2
% 98.69/14.83 # Propositional check unsatisfiable : 0
% 98.69/14.83 # Propositional clauses : 0
% 98.69/14.83 # Propositional clauses after purity: 0
% 98.69/14.83 # Propositional unsat core size : 0
% 98.69/14.83 # Propositional preprocessing time : 0.000
% 98.69/14.83 # Propositional encoding time : 0.187
% 98.69/14.83 # Propositional solver time : 0.083
% 98.69/14.83 # Success case prop preproc time : 0.000
% 98.69/14.83 # Success case prop encoding time : 0.000
% 98.69/14.83 # Success case prop solver time : 0.000
% 98.69/14.83 # Current number of processed clauses : 6968
% 98.69/14.83 # Positive orientable unit clauses : 1644
% 98.69/14.83 # Positive unorientable unit clauses: 127
% 98.69/14.83 # Negative unit clauses : 1131
% 98.69/14.83 # Non-unit-clauses : 4066
% 98.69/14.83 # Current number of unprocessed clauses: 170939
% 98.69/14.83 # ...number of literals in the above : 316138
% 98.69/14.83 # Current number of archived formulas : 0
% 98.69/14.83 # Current number of archived clauses : 6589
% 98.69/14.83 # Clause-clause subsumption calls (NU) : 5369823
% 98.69/14.83 # Rec. Clause-clause subsumption calls : 2485518
% 98.69/14.83 # Non-unit clause-clause subsumptions : 4271
% 98.69/14.83 # Unit Clause-clause subsumption calls : 458348
% 98.69/14.83 # Rewrite failures with RHS unbound : 424
% 98.69/14.83 # BW rewrite match attempts : 40773
% 98.69/14.83 # BW rewrite match successes : 1133
% 98.69/14.83 # Condensation attempts : 0
% 98.69/14.83 # Condensation successes : 0
% 98.69/14.83 # Termbank termtop insertions : 6949592
% 98.69/14.83
% 98.69/14.83 # -------------------------------------------------
% 98.69/14.83 # User time : 12.555 s
% 98.69/14.83 # System time : 0.308 s
% 98.69/14.83 # Total time : 12.863 s
% 98.69/14.83 # Maximum resident set size: 40280 pages
% 98.69/14.83
% 98.69/14.83 # -------------------------------------------------
% 98.69/14.83 # User time : 57.217 s
% 98.69/14.83 # System time : 1.569 s
% 98.69/14.83 # Total time : 58.786 s
% 98.69/14.83 # Maximum resident set size: 9508 pages
% 98.69/14.83 % E---3.1 exiting
%------------------------------------------------------------------------------