TSTP Solution File: SWW343+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW343+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 20:09:10 EDT 2023
% Result : ContradictoryAxioms 85.83s 13.67s
% Output : CNFRefutation 85.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 80 ( 63 unt; 0 def)
% Number of atoms : 99 ( 82 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 : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 130 ( 16 sgn; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X27,X28] :
( hAPP(c_Set_OCollect(X28),X27) = c_Orderings_Obot__class_Obot(tc_fun(X28,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X27,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_Collect__empty__eq) ).
fof(fact_empty__def,axiom,
! [X28] : c_Orderings_Obot__class_Obot(tc_fun(X28,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X28),hAPP(c_COMBK(tc_HOL_Obool,X28),c_fFalse)),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X27,X28] : hAPP(c_Set_OCollect(X28),X27) = X27,
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X27,X28] : hAPP(c_Set_OCollect(X28),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X28),c_fNot),X27)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X28,tc_HOL_Obool)),hAPP(c_Set_OCollect(X28),X27)),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X325,X30,X28,X6] : hAPP(hAPP(c_COMBK(X6,X28),X30),X325) = X30,
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',help_c__COMBK__1) ).
fof(fact_UNIV__def,axiom,
! [X28] : c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X28),hAPP(c_COMBK(tc_HOL_Obool,X28),c_fTrue)),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_UNIV__def) ).
fof(fact_double__complement,axiom,
! [X139,X28] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X28,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X28,tc_HOL_Obool)),X139)) = X139,
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X27] :
( ~ hBOOL(hAPP(c_fNot,X27))
| ~ hBOOL(X27) ),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',help_c__fNot__1) ).
fof(fact_Compl__UNIV__eq,axiom,
! [X28] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X28,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X28,tc_HOL_Obool)),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_Compl__UNIV__eq) ).
fof(fact_add__eq__self__zero,axiom,
! [X5,X60] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X60),X5) = X60
=> X5 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.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/tmp/tmp.yDntpXNBcD/E---3.1_28993.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.yDntpXNBcD/E---3.1_28993.p',fact_Pls__def) ).
fof(fact_Zero__neq__Suc,axiom,
! [X60] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X60),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_Zero__neq__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X187,X26,X27,X182,X28,X52] : hAPP(hAPP(hAPP(c_COMBB(X52,X28,X182),X27),X26),X187) = hAPP(X27,hAPP(X26,X187)),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',help_c__COMBB__1) ).
fof(fact_add__Suc__right,axiom,
! [X5,X60] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X60),hAPP(c_Nat_OSuc,X5)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X60),X5)),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_add__Suc__right) ).
fof(fact_rev__rev__ident,axiom,
! [X287,X6] : hAPP(c_List_Orev(X6),hAPP(c_List_Orev(X6),X287)) = X287,
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_rev__rev__ident) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X60] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X60),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X60,
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X5] : X5 != hAPP(c_Nat_OSuc,X5),
file('/export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X27,X28] :
( hAPP(c_Set_OCollect(X28),X27) = c_Orderings_Obot__class_Obot(tc_fun(X28,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X27,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X11702] : c_Orderings_Obot__class_Obot(tc_fun(X11702,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X11702),hAPP(c_COMBK(tc_HOL_Obool,X11702),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X11700,X11701] : hAPP(c_Set_OCollect(X11701),X11700) = X11700,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X11670,X11671] : hAPP(c_Set_OCollect(X11671),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X11671),c_fNot),X11670)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X11671,tc_HOL_Obool)),hAPP(c_Set_OCollect(X11671),X11670)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X11709,X11710,X11711,X11712,X11714] :
( ( hAPP(c_Set_OCollect(X11710),X11709) != c_Orderings_Obot__class_Obot(tc_fun(X11710,tc_HOL_Obool))
| ~ hBOOL(hAPP(X11709,X11711)) )
& ( hBOOL(hAPP(X11712,esk306_1(X11712)))
| hAPP(c_Set_OCollect(X11714),X11712) = c_Orderings_Obot__class_Obot(tc_fun(X11714,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_18])])])])]) ).
fof(c_0_23,plain,
! [X17518,X17519,X17520,X17521] : hAPP(hAPP(c_COMBK(X17521,X17520),X17519),X17518) = X17519,
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,
! [X11690] : c_Orderings_Otop__class_Otop(tc_fun(X11690,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X11690),hAPP(c_COMBK(tc_HOL_Obool,X11690),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_27,plain,
! [X5054,X5055] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5055,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5055,tc_HOL_Obool)),X5054)) = X5054,
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,
! [X27] :
( ~ hBOOL(hAPP(c_fNot,X27))
| ~ hBOOL(X27) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(X1,esk306_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,
! [X10815] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X10815,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X10815,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X10815,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,
! [X876,X877] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X877),X876) != X877
| X876 = 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,
! [X607] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X607),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(c_0_39,plain,
! [X17522,X17523,X17524,X17525,X17526,X17527] : hAPP(hAPP(hAPP(c_COMBB(X17527,X17526,X17525),X17524),X17523),X17522) = hAPP(X17524,hAPP(X17523,X17522)),
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,
! [X17544] :
( ~ hBOOL(hAPP(c_fNot,X17544))
| ~ hBOOL(X17544) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
cnf(c_0_43,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk306_1(X1))) ),
inference(rw,[status(thm)],[c_0_30,c_0_25]) ).
cnf(c_0_44,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_45,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_46,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_47,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_48,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_49,plain,
! [X882,X883] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X883),hAPP(c_Nat_OSuc,X882)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X883),X882)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_50,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_51,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_52,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_53,plain,
! [X17238,X17239] : hAPP(c_List_Orev(X17239),hAPP(c_List_Orev(X17239),X17238)) = X17238,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_54,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_44]),c_0_31]) ).
cnf(c_0_56,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_45,c_0_41]) ).
cnf(c_0_57,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_46]) ).
cnf(c_0_58,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_47,c_0_48]) ).
cnf(c_0_59,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_49]) ).
cnf(c_0_60,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_50,c_0_48]) ).
fof(c_0_61,plain,
! [X873] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X873),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X873,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_62,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_51]) ).
cnf(c_0_63,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
hAPP(c_fNot,c_fTrue) = c_fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_56]),c_0_44]),c_0_57]) ).
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(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
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_61]) ).
fof(c_0_68,plain,
! [X586] : X586 != hAPP(c_Nat_OSuc,X586),
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_62,c_0_63]) ).
cnf(c_0_70,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_64,c_0_55]) ).
cnf(c_0_71,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_65]) ).
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_59]) ).
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
% 0.85/0.93 % Problem : SWW343+1 : TPTP v8.1.2. Released v5.2.0.
% 0.91/0.94 % Command : run_E %s %d THM
% 0.95/1.15 % Computer : n027.cluster.edu
% 0.95/1.15 % Model : x86_64 x86_64
% 0.95/1.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.95/1.15 % Memory : 8042.1875MB
% 0.95/1.15 % OS : Linux 3.10.0-693.el7.x86_64
% 0.95/1.15 % CPULimit : 2400
% 0.95/1.15 % WCLimit : 300
% 0.95/1.15 % DateTime : Mon Oct 2 22:53:31 EDT 2023
% 0.95/1.15 % CPUTime :
% 1.93/2.17 Running first-order theorem proving
% 1.93/2.17 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.yDntpXNBcD/E---3.1_28993.p
% 85.83/13.67 # Version: 3.1pre001
% 85.83/13.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 85.83/13.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.83/13.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 85.83/13.67 # Starting new_bool_3 with 300s (1) cores
% 85.83/13.67 # Starting new_bool_1 with 300s (1) cores
% 85.83/13.67 # Starting sh5l with 300s (1) cores
% 85.83/13.67 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29071 completed with status 0
% 85.83/13.67 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 85.83/13.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 85.83/13.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.83/13.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 85.83/13.67 # No SInE strategy applied
% 85.83/13.67 # Search class: FGHSM-SMLM33-DFFFFFNN
% 85.83/13.67 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 85.83/13.67 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 85.83/13.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 85.83/13.67 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 85.83/13.67 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 85.83/13.67 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 85.83/13.67 # SAT001_MinMin_p005000_rr with pid 29079 completed with status 0
% 85.83/13.67 # Result found by SAT001_MinMin_p005000_rr
% 85.83/13.67 # Preprocessing class: FMLMSMSMSSSNFFN.
% 85.83/13.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.83/13.67 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 85.83/13.67 # No SInE strategy applied
% 85.83/13.67 # Search class: FGHSM-SMLM33-DFFFFFNN
% 85.83/13.67 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 85.83/13.67 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 85.83/13.67 # Preprocessing time : 0.163 s
% 85.83/13.67 # Presaturation interreduction done
% 85.83/13.67
% 85.83/13.67 # Proof found!
% 85.83/13.67 # SZS status ContradictoryAxioms
% 85.83/13.67 # SZS output start CNFRefutation
% See solution above
% 85.83/13.67 # Parsed axioms : 5209
% 85.83/13.67 # Removed by relevancy pruning/SinE : 0
% 85.83/13.67 # Initial clauses : 7489
% 85.83/13.67 # Removed in clause preprocessing : 250
% 85.83/13.67 # Initial clauses in saturation : 7239
% 85.83/13.67 # Processed clauses : 21089
% 85.83/13.67 # ...of these trivial : 366
% 85.83/13.67 # ...subsumed : 6973
% 85.83/13.67 # ...remaining for further processing : 13750
% 85.83/13.67 # Other redundant clauses eliminated : 1657
% 85.83/13.67 # Clauses deleted for lack of memory : 0
% 85.83/13.67 # Backward-subsumed : 250
% 85.83/13.67 # Backward-rewritten : 430
% 85.83/13.67 # Generated clauses : 208720
% 85.83/13.67 # ...of the previous two non-redundant : 198128
% 85.83/13.67 # ...aggressively subsumed : 0
% 85.83/13.67 # Contextual simplify-reflections : 24
% 85.83/13.67 # Paramodulations : 207068
% 85.83/13.67 # Factorizations : 2
% 85.83/13.67 # NegExts : 0
% 85.83/13.67 # Equation resolutions : 1713
% 85.83/13.67 # Total rewrite steps : 61362
% 85.83/13.67 # Propositional unsat checks : 3
% 85.83/13.67 # Propositional check models : 2
% 85.83/13.67 # Propositional check unsatisfiable : 0
% 85.83/13.67 # Propositional clauses : 0
% 85.83/13.67 # Propositional clauses after purity: 0
% 85.83/13.67 # Propositional unsat core size : 0
% 85.83/13.67 # Propositional preprocessing time : 0.000
% 85.83/13.67 # Propositional encoding time : 0.179
% 85.83/13.67 # Propositional solver time : 0.074
% 85.83/13.67 # Success case prop preproc time : 0.000
% 85.83/13.67 # Success case prop encoding time : 0.000
% 85.83/13.67 # Success case prop solver time : 0.000
% 85.83/13.67 # Current number of processed clauses : 6798
% 85.83/13.67 # Positive orientable unit clauses : 1631
% 85.83/13.67 # Positive unorientable unit clauses: 129
% 85.83/13.67 # Negative unit clauses : 1235
% 85.83/13.67 # Non-unit-clauses : 3803
% 85.83/13.67 # Current number of unprocessed clauses: 178004
% 85.83/13.67 # ...number of literals in the above : 325264
% 85.83/13.67 # Current number of archived formulas : 0
% 85.83/13.67 # Current number of archived clauses : 6501
% 85.83/13.67 # Clause-clause subsumption calls (NU) : 4925073
% 85.83/13.67 # Rec. Clause-clause subsumption calls : 2216340
% 85.83/13.67 # Non-unit clause-clause subsumptions : 3520
% 85.83/13.67 # Unit Clause-clause subsumption calls : 359617
% 85.83/13.67 # Rewrite failures with RHS unbound : 608
% 85.83/13.67 # BW rewrite match attempts : 44378
% 85.83/13.67 # BW rewrite match successes : 1341
% 85.83/13.67 # Condensation attempts : 0
% 85.83/13.67 # Condensation successes : 0
% 85.83/13.67 # Termbank termtop insertions : 6783919
% 85.83/13.67
% 85.83/13.67 # -------------------------------------------------
% 85.83/13.67 # User time : 10.818 s
% 85.83/13.67 # System time : 0.241 s
% 85.83/13.67 # Total time : 11.059 s
% 85.83/13.67 # Maximum resident set size: 39856 pages
% 85.83/13.67
% 85.83/13.67 # -------------------------------------------------
% 85.83/13.67 # User time : 49.300 s
% 85.83/13.67 # System time : 1.304 s
% 85.83/13.67 # Total time : 50.604 s
% 85.83/13.67 # Maximum resident set size: 9540 pages
% 85.83/13.67 % E---3.1 exiting
% 85.83/13.67 % E---3.1 exiting
%------------------------------------------------------------------------------