TSTP Solution File: SWW325+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW325+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 00:02:00 EDT 2022
% Result : ContradictoryAxioms 92.26s 13.79s
% Output : CNFRefutation 92.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 81 ( 66 unt; 0 def)
% Number of atoms : 98 ( 84 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 24 ~; 14 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-5 aty)
% Number of variables : 141 ( 17 sgn 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_empty__def,axiom,
! [X23] : c_Orderings_Obot__class_Obot(tc_fun(X23,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X23),hAPP(c_COMBK(tc_HOL_Obool,X23),c_fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X22,X23] : hAPP(c_Set_OCollect(X23),X22) = X22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X22,X23] : hAPP(c_Set_OCollect(X23),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X23),c_fNot),X22)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X23,tc_HOL_Obool)),hAPP(c_Set_OCollect(X23),X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).
fof(fact_Collect__empty__eq,axiom,
! [X22,X23] :
( hAPP(c_Set_OCollect(X23),X22) = c_Orderings_Obot__class_Obot(tc_fun(X23,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X22,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).
fof(help_c__COMBK__1,axiom,
! [X329,X89,X23,X30] : hAPP(hAPP(c_COMBK(X30,X23),X89),X329) = X89,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact_UNIV__def,axiom,
! [X23] : c_Orderings_Otop__class_Otop(tc_fun(X23,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X23),hAPP(c_COMBK(tc_HOL_Obool,X23),c_fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_UNIV__def) ).
fof(fact_double__complement,axiom,
! [X150,X23] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X23,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X23,tc_HOL_Obool)),X150)) = X150,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__complement) ).
fof(fact_sum__case__KK,axiom,
! [X103,X77,X117,X23,X51] : hAPP(c_Sum__Type_Osum_Osum__case(X51,X23,X117,hAPP(c_COMBK(X23,X51),X77),hAPP(c_COMBK(X23,X117),X77)),X103) = X77,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_sum__case__KK) ).
fof(fact_Compl__UNIV__eq,axiom,
! [X23] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X23,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X23,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X23,tc_HOL_Obool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Compl__UNIV__eq) ).
fof(fact_add__eq__self__zero,axiom,
! [X29,X91] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),X29) = X91
=> X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__self__zero) ).
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(fact_Zero__neq__Suc,axiom,
! [X91] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X91),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X190,X21,X22,X117,X23,X51] : hAPP(hAPP(hAPP(c_COMBB(X51,X23,X117),X22),X21),X190) = hAPP(X22,hAPP(X21,X190)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(help_c__fNot__1,axiom,
! [X22] :
( ~ hBOOL(hAPP(c_fNot,X22))
| ~ hBOOL(X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(fact_add__Suc__right,axiom,
! [X29,X91] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),hAPP(c_Nat_OSuc,X29)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),X29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).
fof(fact_rev__rev__ident,axiom,
! [X291,X30] : hAPP(c_List_Orev(X30),hAPP(c_List_Orev(X30),X291)) = X291,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rev__rev__ident) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X91] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X91,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X29] : X29 != hAPP(c_Nat_OSuc,X29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(c_0_19,plain,
! [X12381] : c_Orderings_Obot__class_Obot(tc_fun(X12381,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X12381),hAPP(c_COMBK(tc_HOL_Obool,X12381),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X12385,X12386] : hAPP(c_Set_OCollect(X12386),X12385) = X12385,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X12346,X12347] : hAPP(c_Set_OCollect(X12347),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X12347),c_fNot),X12346)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X12347,tc_HOL_Obool)),hAPP(c_Set_OCollect(X12347),X12346)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X12375,X12376,X12377,X12378,X12380] :
( ( hAPP(c_Set_OCollect(X12376),X12375) != c_Orderings_Obot__class_Obot(tc_fun(X12376,tc_HOL_Obool))
| ~ hBOOL(hAPP(X12375,X12377)) )
& ( hBOOL(hAPP(X12378,esk319_1(X12378)))
| hAPP(c_Set_OCollect(X12380),X12378) = c_Orderings_Obot__class_Obot(tc_fun(X12380,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_23,plain,
! [X17653,X17654,X17655,X17656] : hAPP(hAPP(c_COMBK(X17656,X17655),X17654),X17653) = X17654,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_24,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_19]) ).
cnf(c_0_25,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X12398] : c_Orderings_Otop__class_Otop(tc_fun(X12398,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X12398),hAPP(c_COMBK(tc_HOL_Obool,X12398),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_27,plain,
! [X5682,X5683] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5683,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5683,tc_HOL_Obool)),X5682)) = X5682,
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_21]) ).
fof(c_0_29,plain,
! [X5952,X5953,X5954,X5955,X5956] : hAPP(c_Sum__Type_Osum_Osum__case(X5956,X5955,X5954,hAPP(c_COMBK(X5955,X5956),X5953),hAPP(c_COMBK(X5955,X5954),X5953)),X5952) = X5953,
inference(variable_rename,[status(thm)],[fact_sum__case__KK]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(X1,esk319_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_22]) ).
cnf(c_0_31,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
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_24,c_0_25]) ).
fof(c_0_33,plain,
! [X7936] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7936,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X7936,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X7936,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq]) ).
cnf(c_0_34,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_26]) ).
fof(c_0_35,plain,
! [X1248,X1249] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1249),X1248) != X1249
| X1248 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])]) ).
cnf(c_0_36,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_37,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_38,plain,
! [X1081] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1081),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(c_0_39,plain,
! [X17657,X17658,X17659,X17660,X17661,X17662] : hAPP(hAPP(hAPP(c_COMBB(X17662,X17661,X17660),X17659),X17658),X17657) = hAPP(X17659,hAPP(X17658,X17657)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
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_27]) ).
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_28,c_0_25]),c_0_25]) ).
fof(c_0_42,plain,
! [X17679] :
( ~ hBOOL(hAPP(c_fNot,X17679))
| ~ hBOOL(X17679) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[help_c__fNot__1])]) ).
cnf(c_0_43,plain,
hAPP(c_Sum__Type_Osum_Osum__case(X1,X2,X3,hAPP(c_COMBK(X2,X1),X4),hAPP(c_COMBK(X2,X3),X4)),X5) = X4,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk319_1(X1))) ),
inference(rw,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_45,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]) ).
cnf(c_0_46,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,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_34,c_0_25]) ).
cnf(c_0_48,plain,
( X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_50,plain,
! [X1254,X1255] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1255),hAPP(c_Nat_OSuc,X1254)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1255),X1254)),
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_38]) ).
cnf(c_0_52,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,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]) ).
fof(c_0_54,plain,
! [X17445,X17446] : hAPP(c_List_Orev(X17446),hAPP(c_List_Orev(X17446),X17445)) = X17445,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_55,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_56,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_43]) ).
cnf(c_0_57,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_58,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_47]) ).
cnf(c_0_59,plain,
( X1 = hAPP(c_Int_Onat,c_Int_OPls)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != X2 ),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,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_61,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_51,c_0_49]) ).
fof(c_0_62,plain,
! [X1245] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1245),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1245,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_63,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_52]) ).
cnf(c_0_64,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,plain,
hAPP(c_fNot,c_fTrue) = c_fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_57]),c_0_45]),c_0_58]) ).
cnf(c_0_67,plain,
hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)) != X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_68,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_62]) ).
fof(c_0_69,plain,
! [X465] : X465 != hAPP(c_Nat_OSuc,X465),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_70,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_65,c_0_56]) ).
cnf(c_0_72,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_58]),c_0_66]) ).
cnf(c_0_73,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_67,c_0_60]) ).
cnf(c_0_74,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_68,c_0_49]) ).
cnf(c_0_75,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_77,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76])]) ).
cnf(c_0_79,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_80,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_76]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SWW325+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.08 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Sat Jun 4 07:44:19 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.12/0.37 # ENIGMATIC: Selected SinE mode:
% 0.39/0.57 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.57 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.39/0.57 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.39/0.57 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 92.26/13.79 # ENIGMATIC: Solved by autoschedule:
% 92.26/13.79 # No SInE strategy applied
% 92.26/13.79 # Trying AutoSched0 for 150 seconds
% 92.26/13.79 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr
% 92.26/13.79 # and selection function SelectMaxLComplexAvoidPosPred.
% 92.26/13.79 #
% 92.26/13.79 # Preprocessing time : 1.149 s
% 92.26/13.79 # Presaturation interreduction done
% 92.26/13.79
% 92.26/13.79 # Proof found!
% 92.26/13.79 # SZS status ContradictoryAxioms
% 92.26/13.79 # SZS output start CNFRefutation
% See solution above
% 92.26/13.79 # Training examples: 0 positive, 0 negative
% 92.26/13.79
% 92.26/13.79 # -------------------------------------------------
% 92.26/13.79 # User time : 10.210 s
% 92.26/13.79 # System time : 0.279 s
% 92.26/13.79 # Total time : 10.489 s
% 92.26/13.79 # Maximum resident set size: 10884 pages
% 92.26/13.79
%------------------------------------------------------------------------------