TSTP Solution File: SWW352+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n028.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 : Mon Jun 24 18:14:17 EDT 2024
% Result : ContradictoryAxioms 58.60s 9.96s
% Output : CNFRefutation 58.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 82 ( 65 unt; 0 def)
% Number of atoms : 101 ( 84 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 29 ~; 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 : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 132 ( 16 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X17,X5] :
( hAPP(c_Set_OCollect(X5),X17) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X17,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.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/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X17,X5] : hAPP(c_Set_OCollect(X5),X17) = X17,
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X17,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X17)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X17)),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X325,X47,X15,X5] : hAPP(hAPP(c_COMBK(X5,X15),X47),X325) = X47,
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',help_c__COMBK__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/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_UNIV__def) ).
fof(fact_Zero__not__Suc,axiom,
! [X109] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X109),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_Zero__not__Suc) ).
fof(fact_double__complement,axiom,
! [X10,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)),X10)) = X10,
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X17] :
( ~ hBOOL(hAPP(c_fNot,X17))
| ~ hBOOL(X17) ),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',help_c__fNot__1) ).
fof(fact_Compl__UNIV__eq,axiom,
! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_Compl__UNIV__eq) ).
fof(fact_add__eq__self__zero,axiom,
! [X87,X109] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),X87) = X109
=> X87 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.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.QZbxiVE5c0/E---3.1_20293.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.QZbxiVE5c0/E---3.1_20293.p',fact_Pls__def) ).
fof(help_c__COMBB__1,axiom,
! [X35,X16,X17,X79,X5,X15] : hAPP(hAPP(hAPP(c_COMBB(X15,X5,X79),X17),X16),X35) = hAPP(X17,hAPP(X16,X35)),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',help_c__COMBB__1) ).
fof(fact_add__Suc__right,axiom,
! [X87,X109] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),hAPP(c_Nat_OSuc,X87)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),X87)),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_add__Suc__right) ).
fof(fact_rev__rev__ident,axiom,
! [X272,X5] : hAPP(c_List_Orev(X5),hAPP(c_List_Orev(X5),X272)) = X272,
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_rev__rev__ident) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X109] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X109,
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X87] : X87 != hAPP(c_Nat_OSuc,X87),
file('/export/starexec/sandbox2/tmp/tmp.QZbxiVE5c0/E---3.1_20293.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X17,X5] :
( hAPP(c_Set_OCollect(X5),X17) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X17,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X6920] : c_Orderings_Obot__class_Obot(tc_fun(X6920,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X6920),hAPP(c_COMBK(tc_HOL_Obool,X6920),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X6896,X6897] : hAPP(c_Set_OCollect(X6897),X6896) = X6896,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X6938,X6939] : hAPP(c_Set_OCollect(X6939),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6939),c_fNot),X6938)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6939,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6939),X6938)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X6882,X6883,X6884,X6885,X6887] :
( ( hAPP(c_Set_OCollect(X6883),X6882) != c_Orderings_Obot__class_Obot(tc_fun(X6883,tc_HOL_Obool))
| ~ hBOOL(hAPP(X6882,X6884)) )
& ( hBOOL(hAPP(X6885,esk194_1(X6885)))
| hAPP(c_Set_OCollect(X6887),X6885) = c_Orderings_Obot__class_Obot(tc_fun(X6887,tc_HOL_Obool)) ) ),
inference(fof_nnf,[status(thm)],[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_18])])])])])]) ).
fof(c_0_23,plain,
! [X17643,X17644,X17645,X17646] : hAPP(hAPP(c_COMBK(X17646,X17645),X17644),X17643) = X17644,
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,
! [X6931] : c_Orderings_Otop__class_Otop(tc_fun(X6931,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X6931),hAPP(c_COMBK(tc_HOL_Obool,X6931),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_27,plain,
! [X109] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X109),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
fof(c_0_28,plain,
! [X3238,X3239] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3239,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3239,tc_HOL_Obool)),X3238)) = X3238,
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_21]) ).
fof(c_0_30,plain,
! [X17] :
( ~ hBOOL(hAPP(c_fNot,X17))
| ~ hBOOL(X17) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_31,plain,
( hBOOL(hAPP(X1,esk194_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_32,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,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_34,plain,
! [X4732] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4732,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X4732,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X4732,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq]) ).
cnf(c_0_35,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_36,plain,
! [X4520,X4521] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4521),X4520) != X4521
| X4520 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])]) ).
cnf(c_0_37,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_38,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_39,plain,
! [X4508] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X4508),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_40,plain,
! [X17647,X17648,X17649,X17650,X17651,X17652] : hAPP(hAPP(hAPP(c_COMBB(X17652,X17651,X17650),X17649),X17648),X17647) = hAPP(X17649,hAPP(X17648,X17647)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_41,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_42,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_25]),c_0_25]) ).
fof(c_0_43,plain,
! [X17669] :
( ~ hBOOL(hAPP(c_fNot,X17669))
| ~ hBOOL(X17669) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
cnf(c_0_44,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk194_1(X1))) ),
inference(rw,[status(thm)],[c_0_31,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_32,c_0_33]) ).
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_34]) ).
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_35,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_36]) ).
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_37,c_0_38]) ).
fof(c_0_50,plain,
! [X2998,X2999] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2999),hAPP(c_Nat_OSuc,X2998)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2999),X2998)),
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_39]) ).
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_40]) ).
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_41,c_0_42]),c_0_42]) ).
fof(c_0_54,plain,
! [X16320,X16321] : hAPP(c_List_Orev(X16321),hAPP(c_List_Orev(X16321),X16320)) = X16320,
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_43]) ).
cnf(c_0_56,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_45]),c_0_32]) ).
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_42]) ).
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_32,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,
! [X4524] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4524),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4524,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_63,plain,
! [X87] : X87 != hAPP(c_Nat_OSuc,X87),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_64,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_65,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,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_68,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_69,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_70,plain,
! [X2665] : X2665 != hAPP(c_Nat_OSuc,X2665),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).
cnf(c_0_71,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_66,c_0_56]) ).
cnf(c_0_73,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_67]) ).
cnf(c_0_74,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_68,c_0_60]) ).
cnf(c_0_75,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_69,c_0_49]) ).
cnf(c_0_76,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_78,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77])]) ).
cnf(c_0_80,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_81,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_77]),c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : run_E %s %d SAT
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 07:23:54 EDT 2024
% 0.17/0.32 % CPUTime :
% 1.44/1.65 Running first-order model finding
% 1.44/1.65 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.QZbxiVE5c0/E---3.1_20293.p
% 58.60/9.96 # Version: 3.2.0
% 58.60/9.96 # Preprocessing class: FMLMSLSMSSSNFFN.
% 58.60/9.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.60/9.96 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 58.60/9.96 # Starting new_bool_3 with 300s (1) cores
% 58.60/9.96 # Starting new_bool_1 with 300s (1) cores
% 58.60/9.96 # Starting sh5l with 300s (1) cores
% 58.60/9.96 # SAT001_MinMin_p005000_rr_RG with pid 20371 completed with status 0
% 58.60/9.96 # Result found by SAT001_MinMin_p005000_rr_RG
% 58.60/9.96 # Preprocessing class: FMLMSLSMSSSNFFN.
% 58.60/9.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.60/9.96 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 58.60/9.96 # No SInE strategy applied
% 58.60/9.96 # Search class: FGHSM-SMLM33-DFFFFFNN
% 58.60/9.96 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 58.60/9.96 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 58.60/9.96 # Starting SAT001_MinMin_p005000_rr_RG with 150s (1) cores
% 58.60/9.96 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 58.60/9.96 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 58.60/9.96 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 58.60/9.96 # SAT001_MinMin_p005000_rr with pid 20378 completed with status 0
% 58.60/9.96 # Result found by SAT001_MinMin_p005000_rr
% 58.60/9.96 # Preprocessing class: FMLMSLSMSSSNFFN.
% 58.60/9.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 58.60/9.96 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 58.60/9.96 # No SInE strategy applied
% 58.60/9.96 # Search class: FGHSM-SMLM33-DFFFFFNN
% 58.60/9.96 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 58.60/9.96 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 58.60/9.96 # Preprocessing time : 0.188 s
% 58.60/9.96 # Presaturation interreduction done
% 58.60/9.96
% 58.60/9.96 # Proof found!
% 58.60/9.96 # SZS status ContradictoryAxioms
% 58.60/9.96 # SZS output start CNFRefutation
% See solution above
% 58.60/9.96 # Parsed axioms : 5242
% 58.60/9.96 # Removed by relevancy pruning/SinE : 0
% 58.60/9.96 # Initial clauses : 7568
% 58.60/9.96 # Removed in clause preprocessing : 234
% 58.60/9.96 # Initial clauses in saturation : 7334
% 58.60/9.96 # Processed clauses : 14760
% 58.60/9.96 # ...of these trivial : 334
% 58.60/9.96 # ...subsumed : 4507
% 58.60/9.96 # ...remaining for further processing : 9919
% 58.60/9.96 # Other redundant clauses eliminated : 835
% 58.60/9.96 # Clauses deleted for lack of memory : 0
% 58.60/9.96 # Backward-subsumed : 132
% 58.60/9.96 # Backward-rewritten : 325
% 58.60/9.96 # Generated clauses : 58592
% 58.60/9.96 # ...of the previous two non-redundant : 53995
% 58.60/9.96 # ...aggressively subsumed : 0
% 58.60/9.96 # Contextual simplify-reflections : 46
% 58.60/9.96 # Paramodulations : 57772
% 58.60/9.96 # Factorizations : 12
% 58.60/9.96 # NegExts : 0
% 58.60/9.96 # Equation resolutions : 874
% 58.60/9.96 # Disequality decompositions : 0
% 58.60/9.96 # Total rewrite steps : 21723
% 58.60/9.96 # ...of those cached : 15995
% 58.60/9.96 # Propositional unsat checks : 2
% 58.60/9.96 # Propositional check models : 2
% 58.60/9.96 # Propositional check unsatisfiable : 0
% 58.60/9.96 # Propositional clauses : 0
% 58.60/9.96 # Propositional clauses after purity: 0
% 58.60/9.96 # Propositional unsat core size : 0
% 58.60/9.96 # Propositional preprocessing time : 0.000
% 58.60/9.96 # Propositional encoding time : 0.090
% 58.60/9.96 # Propositional solver time : 0.027
% 58.60/9.96 # Success case prop preproc time : 0.000
% 58.60/9.96 # Success case prop encoding time : 0.000
% 58.60/9.96 # Success case prop solver time : 0.000
% 58.60/9.96 # Current number of processed clauses : 3057
% 58.60/9.96 # Positive orientable unit clauses : 1266
% 58.60/9.96 # Positive unorientable unit clauses: 3
% 58.60/9.96 # Negative unit clauses : 273
% 58.60/9.96 # Non-unit-clauses : 1515
% 58.60/9.96 # Current number of unprocessed clauses: 45950
% 58.60/9.96 # ...number of literals in the above : 95441
% 58.60/9.96 # Current number of archived formulas : 0
% 58.60/9.96 # Current number of archived clauses : 6412
% 58.60/9.96 # Clause-clause subsumption calls (NU) : 3622446
% 58.60/9.96 # Rec. Clause-clause subsumption calls : 1798080
% 58.60/9.96 # Non-unit clause-clause subsumptions : 3701
% 58.60/9.96 # Unit Clause-clause subsumption calls : 36570
% 58.60/9.96 # Rewrite failures with RHS unbound : 393
% 58.60/9.96 # BW rewrite match attempts : 33997
% 58.60/9.96 # BW rewrite match successes : 601
% 58.60/9.96 # Condensation attempts : 0
% 58.60/9.96 # Condensation successes : 0
% 58.60/9.96 # Termbank termtop insertions : 2133891
% 58.60/9.96 # Search garbage collected termcells : 100406
% 58.60/9.96
% 58.60/9.96 # -------------------------------------------------
% 58.60/9.96 # User time : 7.717 s
% 58.60/9.96 # System time : 0.189 s
% 58.60/9.96 # Total time : 7.905 s
% 58.60/9.96 # Maximum resident set size: 41164 pages
% 58.60/9.96
% 58.60/9.96 # -------------------------------------------------
% 58.60/9.96 # User time : 32.352 s
% 58.60/9.96 # System time : 0.749 s
% 58.60/9.96 # Total time : 33.101 s
% 58.60/9.96 # Maximum resident set size: 9552 pages
% 58.60/9.96 % E---3.1 exiting
% 58.60/9.96 % E exiting
%------------------------------------------------------------------------------