TSTP Solution File: SWW327+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW327+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:11:02 EDT 2023
% Result : ContradictoryAxioms 117.01s 17.53s
% Output : CNFRefutation 117.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 83 ( 66 unt; 0 def)
% Number of atoms : 102 ( 85 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 27 ~; 15 |; 1 &)
% ( 2 <=>; 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 : 145 ( 17 sgn; 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X26,X6] :
( hAPP(c_Set_OCollect(X6),X26) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X26,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_Collect__empty__eq) ).
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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X26,X6] : hAPP(c_Set_OCollect(X6),X26) = X26,
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X26,X6] : hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),X26)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6),X26)),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X329,X89,X6,X33] : hAPP(hAPP(c_COMBK(X33,X6),X89),X329) = X89,
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',help_c__COMBK__1) ).
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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_UNIV__def) ).
fof(fact_double__complement,axiom,
! [X150,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)),X150)) = X150,
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X26] :
( ~ hBOOL(hAPP(c_fNot,X26))
| ~ hBOOL(X26) ),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',help_c__fNot__1) ).
fof(fact_sum__case__KK,axiom,
! [X103,X77,X117,X6,X51] : hAPP(c_Sum__Type_Osum_Osum__case(X51,X6,X117,hAPP(c_COMBK(X6,X51),X77),hAPP(c_COMBK(X6,X117),X77)),X103) = X77,
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_sum__case__KK) ).
fof(fact_Compl__UNIV__eq,axiom,
! [X6] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_Compl__UNIV__eq) ).
fof(fact_add__eq__self__zero,axiom,
! [X32,X91] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),X32) = X91
=> X32 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_Zero__neq__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X190,X25,X26,X117,X6,X51] : hAPP(hAPP(hAPP(c_COMBB(X51,X6,X117),X26),X25),X190) = hAPP(X26,hAPP(X25,X190)),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',help_c__COMBB__1) ).
fof(fact_add__Suc__right,axiom,
! [X32,X91] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),hAPP(c_Nat_OSuc,X32)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X91),X32)),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_add__Suc__right) ).
fof(fact_rev__rev__ident,axiom,
! [X291,X33] : hAPP(c_List_Orev(X33),hAPP(c_List_Orev(X33),X291)) = X291,
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X32] : X32 != hAPP(c_Nat_OSuc,X32),
file('/export/starexec/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p',fact_n__not__Suc__n) ).
fof(c_0_19,plain,
! [X26,X6] :
( hAPP(c_Set_OCollect(X6),X26) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X26,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_20,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_21,plain,
! [X12385,X12386] : hAPP(c_Set_OCollect(X12386),X12385) = X12385,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_22,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_23,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)],[c_0_19])])])])]) ).
fof(c_0_24,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_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,
! [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_28,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_29,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_30,plain,
! [X26] :
( ~ hBOOL(hAPP(c_fNot,X26))
| ~ hBOOL(X26) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
fof(c_0_31,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_32,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_23]) ).
cnf(c_0_33,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,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_35,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_36,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_27]) ).
fof(c_0_37,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_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]) ).
fof(c_0_40,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_41,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_42,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_28]) ).
cnf(c_0_43,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_29,c_0_26]),c_0_26]) ).
fof(c_0_44,plain,
! [X17679] :
( ~ hBOOL(hAPP(c_fNot,X17679))
| ~ hBOOL(X17679) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
cnf(c_0_45,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_31]) ).
cnf(c_0_46,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_32,c_0_26]) ).
cnf(c_0_47,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_48,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_35]) ).
cnf(c_0_49,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_36,c_0_26]) ).
cnf(c_0_50,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_37]) ).
cnf(c_0_51,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_52,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_53,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_54,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,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_42,c_0_43]),c_0_43]) ).
fof(c_0_56,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_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_45,c_0_46]),c_0_47]),c_0_45]) ).
cnf(c_0_59,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_48,c_0_43]) ).
cnf(c_0_60,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_61,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_50,c_0_51]) ).
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_52]) ).
cnf(c_0_63,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_53,c_0_51]) ).
fof(c_0_64,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_65,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_54]) ).
cnf(c_0_66,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_67,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
hAPP(c_fNot,c_fTrue) = c_fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_59]),c_0_47]),c_0_60]) ).
cnf(c_0_69,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_61,c_0_62]),c_0_63]) ).
cnf(c_0_70,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_64]) ).
fof(c_0_71,plain,
! [X465] : X465 != hAPP(c_Nat_OSuc,X465),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_72,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_67,c_0_58]) ).
cnf(c_0_74,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_68]) ).
cnf(c_0_75,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_69,c_0_62]) ).
cnf(c_0_76,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_70,c_0_51]) ).
cnf(c_0_77,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_79,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_81,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_82,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_78]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW327+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 2400
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Oct 2 22:41:14 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.98/1.21 Running first-order model finding
% 0.98/1.21 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.7ig1s6BJXG/E---3.1_28601.p
% 117.01/17.53 # Version: 3.1pre001
% 117.01/17.53 # Preprocessing class: FMLMSMSMSSSNFFN.
% 117.01/17.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.01/17.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 117.01/17.53 # Starting new_bool_3 with 300s (1) cores
% 117.01/17.53 # Starting new_bool_1 with 300s (1) cores
% 117.01/17.53 # Starting sh5l with 300s (1) cores
% 117.01/17.53 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28680 completed with status 0
% 117.01/17.53 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 117.01/17.53 # Preprocessing class: FMLMSMSMSSSNFFN.
% 117.01/17.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.01/17.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 117.01/17.53 # No SInE strategy applied
% 117.01/17.53 # Search class: FGHSM-SMLM33-DFFFFFNN
% 117.01/17.53 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 117.01/17.53 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 117.01/17.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 117.01/17.53 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 117.01/17.53 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 117.01/17.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 117.01/17.53 # SAT001_MinMin_p005000_rr with pid 28687 completed with status 0
% 117.01/17.53 # Result found by SAT001_MinMin_p005000_rr
% 117.01/17.53 # Preprocessing class: FMLMSMSMSSSNFFN.
% 117.01/17.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 117.01/17.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 117.01/17.53 # No SInE strategy applied
% 117.01/17.53 # Search class: FGHSM-SMLM33-DFFFFFNN
% 117.01/17.53 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 117.01/17.53 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 117.01/17.53 # Preprocessing time : 0.155 s
% 117.01/17.53 # Presaturation interreduction done
% 117.01/17.53
% 117.01/17.53 # Proof found!
% 117.01/17.53 # SZS status ContradictoryAxioms
% 117.01/17.53 # SZS output start CNFRefutation
% See solution above
% 117.01/17.53 # Parsed axioms : 5207
% 117.01/17.53 # Removed by relevancy pruning/SinE : 0
% 117.01/17.53 # Initial clauses : 7484
% 117.01/17.53 # Removed in clause preprocessing : 251
% 117.01/17.53 # Initial clauses in saturation : 7233
% 117.01/17.53 # Processed clauses : 23544
% 117.01/17.53 # ...of these trivial : 512
% 117.01/17.53 # ...subsumed : 7439
% 117.01/17.53 # ...remaining for further processing : 15593
% 117.01/17.53 # Other redundant clauses eliminated : 1701
% 117.01/17.53 # Clauses deleted for lack of memory : 0
% 117.01/17.53 # Backward-subsumed : 228
% 117.01/17.53 # Backward-rewritten : 460
% 117.01/17.53 # Generated clauses : 360697
% 117.01/17.53 # ...of the previous two non-redundant : 347481
% 117.01/17.53 # ...aggressively subsumed : 0
% 117.01/17.53 # Contextual simplify-reflections : 33
% 117.01/17.53 # Paramodulations : 358981
% 117.01/17.53 # Factorizations : 4
% 117.01/17.53 # NegExts : 0
% 117.01/17.53 # Equation resolutions : 1775
% 117.01/17.53 # Total rewrite steps : 71384
% 117.01/17.53 # Propositional unsat checks : 4
% 117.01/17.53 # Propositional check models : 2
% 117.01/17.53 # Propositional check unsatisfiable : 0
% 117.01/17.53 # Propositional clauses : 0
% 117.01/17.53 # Propositional clauses after purity: 0
% 117.01/17.53 # Propositional unsat core size : 0
% 117.01/17.53 # Propositional preprocessing time : 0.000
% 117.01/17.53 # Propositional encoding time : 1.122
% 117.01/17.53 # Propositional solver time : 0.405
% 117.01/17.53 # Success case prop preproc time : 0.000
% 117.01/17.53 # Success case prop encoding time : 0.000
% 117.01/17.53 # Success case prop solver time : 0.000
% 117.01/17.53 # Current number of processed clauses : 8634
% 117.01/17.53 # Positive orientable unit clauses : 1682
% 117.01/17.53 # Positive unorientable unit clauses: 129
% 117.01/17.53 # Negative unit clauses : 1599
% 117.01/17.53 # Non-unit-clauses : 5224
% 117.01/17.53 # Current number of unprocessed clauses: 316648
% 117.01/17.53 # ...number of literals in the above : 651145
% 117.01/17.53 # Current number of archived formulas : 0
% 117.01/17.53 # Current number of archived clauses : 6509
% 117.01/17.53 # Clause-clause subsumption calls (NU) : 5638586
% 117.01/17.53 # Rec. Clause-clause subsumption calls : 3305334
% 117.01/17.53 # Non-unit clause-clause subsumptions : 4193
% 117.01/17.53 # Unit Clause-clause subsumption calls : 1217842
% 117.01/17.53 # Rewrite failures with RHS unbound : 521
% 117.01/17.53 # BW rewrite match attempts : 47702
% 117.01/17.53 # BW rewrite match successes : 1438
% 117.01/17.53 # Condensation attempts : 0
% 117.01/17.53 # Condensation successes : 0
% 117.01/17.53 # Termbank termtop insertions : 12459714
% 117.01/17.53
% 117.01/17.53 # -------------------------------------------------
% 117.01/17.53 # User time : 14.823 s
% 117.01/17.53 # System time : 0.438 s
% 117.01/17.53 # Total time : 15.260 s
% 117.01/17.53 # Maximum resident set size: 39784 pages
% 117.01/17.53
% 117.01/17.53 # -------------------------------------------------
% 117.01/17.53 # User time : 68.579 s
% 117.01/17.53 # System time : 2.358 s
% 117.01/17.53 # Total time : 70.937 s
% 117.01/17.53 # Maximum resident set size: 9540 pages
% 117.01/17.53 % E---3.1 exiting
%------------------------------------------------------------------------------