TSTP Solution File: SWW393+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW393+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 20:11:13 EDT 2023
% Result : ContradictoryAxioms 94.09s 14.20s
% Output : CNFRefutation 94.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 88 ( 72 unt; 0 def)
% Number of atoms : 112 ( 89 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 : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 153 ( 17 sgn; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X15,X6] :
( hAPP(c_Set_OCollect(X6),X15) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X15,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.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.iB7JeWhrtv/E---3.1_14727.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X15,X6] : hAPP(c_Set_OCollect(X6),X15) = X15,
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X15,X6] : hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),X15)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6),X15)),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_Collect__neg__eq) ).
fof(fact_vimage__Collect__eq,axiom,
! [X15,X2,X14,X6] : hAPP(c_Set_Ovimage(X6,X14,X2),hAPP(c_Set_OCollect(X14),X15)) = hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(X14,tc_HOL_Obool,X6),X15),X2)),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_vimage__Collect__eq) ).
fof(help_c__COMBK__1,axiom,
! [X281,X280,X6,X8] : hAPP(hAPP(c_COMBK(X8,X6),X280),X281) = X280,
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X11,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)),X11)) = X11,
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_double__complement) ).
fof(fact_vimage__id,axiom,
! [X11,X6] : hAPP(c_Set_Ovimage(X6,X6,c_Fun_Oid(X6)),X11) = X11,
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_vimage__id) ).
fof(help_c__fNot__1,axiom,
! [X15] :
( ~ hBOOL(hAPP(c_fNot,X15))
| ~ hBOOL(X15) ),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',help_c__fNot__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.iB7JeWhrtv/E---3.1_14727.p',fact_UNIV__def) ).
fof(fact_Zero__not__Suc,axiom,
! [X68] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X68),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_Zero__not__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/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.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.iB7JeWhrtv/E---3.1_14727.p',fact_Pls__def) ).
fof(fact_Compl__empty__eq,axiom,
! [X6] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool)),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_Compl__empty__eq) ).
fof(fact_add__0__iff,axiom,
! [X18,X17,X6] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X6)
=> ( X17 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X6),X17),X18)
<=> X18 = c_Groups_Ozero__class_Ozero(X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_add__0__iff) ).
fof(fact_add__Suc__right,axiom,
! [X67,X68] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),hAPP(c_Nat_OSuc,X67)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),X67)),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_add__Suc__right) ).
fof(fact_id__apply,axiom,
! [X7,X8] : hAPP(c_Fun_Oid(X8),X7) = X7,
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_id__apply) ).
fof(help_c__COMBB__1,axiom,
! [X144,X27,X15,X142,X6,X14] : hAPP(hAPP(hAPP(c_COMBB(X14,X6,X142),X15),X27),X144) = hAPP(X15,hAPP(X27,X144)),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',help_c__COMBB__1) ).
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/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X68] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X68),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X68,
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X67] : X67 != hAPP(c_Nat_OSuc,X67),
file('/export/starexec/sandbox2/tmp/tmp.iB7JeWhrtv/E---3.1_14727.p',fact_n__not__Suc__n) ).
fof(c_0_21,plain,
! [X15,X6] :
( hAPP(c_Set_OCollect(X6),X15) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X15,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_22,plain,
! [X8445] : c_Orderings_Obot__class_Obot(tc_fun(X8445,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8445),hAPP(c_COMBK(tc_HOL_Obool,X8445),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_23,plain,
! [X362,X363] : hAPP(c_Set_OCollect(X363),X362) = X362,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_24,plain,
! [X8507,X8508] : hAPP(c_Set_OCollect(X8508),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X8508),c_fNot),X8507)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X8508,tc_HOL_Obool)),hAPP(c_Set_OCollect(X8508),X8507)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_25,plain,
! [X10960,X10961,X10962,X10963] : hAPP(c_Set_Ovimage(X10963,X10962,X10961),hAPP(c_Set_OCollect(X10962),X10960)) = hAPP(c_Set_OCollect(X10963),hAPP(hAPP(c_COMBB(X10962,tc_HOL_Obool,X10963),X10960),X10961)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_26,plain,
! [X594,X595,X596,X597,X599] :
( ( hAPP(c_Set_OCollect(X595),X594) != c_Orderings_Obot__class_Obot(tc_fun(X595,tc_HOL_Obool))
| ~ hBOOL(hAPP(X594,X596)) )
& ( hBOOL(hAPP(X597,esk18_1(X597)))
| hAPP(c_Set_OCollect(X599),X597) = c_Orderings_Obot__class_Obot(tc_fun(X599,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_21])])])])]) ).
fof(c_0_27,plain,
! [X17481,X17482,X17483,X17484] : hAPP(hAPP(c_COMBK(X17484,X17483),X17482),X17481) = X17482,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_28,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_22]) ).
cnf(c_0_29,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X2260,X2261] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2261,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2261,tc_HOL_Obool)),X2260)) = X2260,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_31,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_24]) ).
fof(c_0_32,plain,
! [X11350,X11351] : hAPP(c_Set_Ovimage(X11351,X11351,c_Fun_Oid(X11351)),X11350) = X11350,
inference(variable_rename,[status(thm)],[fact_vimage__id]) ).
cnf(c_0_33,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),hAPP(c_Set_OCollect(X2),X4)) = hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_34,plain,
! [X15] :
( ~ hBOOL(hAPP(c_fNot,X15))
| ~ hBOOL(X15) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_35,plain,
( hBOOL(hAPP(X1,esk18_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_26]) ).
cnf(c_0_36,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,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_28,c_0_29]) ).
fof(c_0_38,plain,
! [X8698] : c_Orderings_Otop__class_Otop(tc_fun(X8698,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8698),hAPP(c_COMBK(tc_HOL_Obool,X8698),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_39,plain,
! [X3937] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X3937),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_40,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_41,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
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_30]) ).
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_31,c_0_29]),c_0_29]) ).
cnf(c_0_44,plain,
hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
hAPP(c_Set_Ovimage(X1,X2,X3),X4) = hAPP(hAPP(c_COMBB(X2,tc_HOL_Obool,X1),X4),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_29]),c_0_29]) ).
fof(c_0_46,plain,
! [X17507] :
( ~ hBOOL(hAPP(c_fNot,X17507))
| ~ hBOOL(X17507) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk18_1(X1))) ),
inference(rw,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_48,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_49,plain,
! [X2121] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2121,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X2121,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X2121,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_50,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_38]) ).
fof(c_0_51,plain,
! [X4048,X4049,X4050] :
( ( X4049 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4050),X4049),X4048)
| X4048 = c_Groups_Ozero__class_Ozero(X4050)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4050) )
& ( X4048 != c_Groups_Ozero__class_Ozero(X4050)
| X4049 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4050),X4049),X4048)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X4050) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).
fof(c_0_52,plain,
! [X4011,X4012] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4012),hAPP(c_Nat_OSuc,X4011)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4012),X4011)),
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_39]) ).
cnf(c_0_54,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_55,plain,
! [X11358,X11359] : hAPP(c_Fun_Oid(X11359),X11358) = X11358,
inference(variable_rename,[status(thm)],[fact_id__apply]) ).
cnf(c_0_56,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]) ).
cnf(c_0_57,plain,
hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_58,plain,
! [X17485,X17486,X17487,X17488,X17489,X17490] : hAPP(hAPP(hAPP(c_COMBB(X17490,X17489,X17488),X17487),X17486),X17485) = hAPP(X17487,hAPP(X17486,X17485)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_59,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_48]),c_0_36]) ).
cnf(c_0_61,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_49]) ).
cnf(c_0_62,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_50,c_0_29]) ).
cnf(c_0_63,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_51]) ).
cnf(c_0_64,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_65,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_66,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_67,plain,
! [X4104] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4104),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4104,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_68,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,plain,
c_Fun_Oid(tc_HOL_Obool) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_HOL_Obool),c_fNot),c_fNot),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_70,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_71,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_72,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_61,c_0_43]) ).
cnf(c_0_73,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_36,c_0_62]) ).
cnf(c_0_74,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_63,c_0_64]),c_0_54]),c_0_65])]),c_0_66]) ).
cnf(c_0_75,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_67]) ).
fof(c_0_76,plain,
! [X3939] : X3939 != hAPP(c_Nat_OSuc,X3939),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_77,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_78,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_71,c_0_60]) ).
cnf(c_0_79,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_72]),c_0_73]),c_0_48]) ).
cnf(c_0_80,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_74,c_0_64]) ).
cnf(c_0_81,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_75,c_0_54]) ).
cnf(c_0_82,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_84,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_86,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWW393+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.15 % Command : run_E %s %d THM
% 0.12/0.36 % Computer : n012.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 2400
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Oct 2 22:22:35 EDT 2023
% 0.12/0.36 % CPUTime :
% 1.07/1.26 Running first-order model finding
% 1.07/1.26 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.iB7JeWhrtv/E---3.1_14727.p
% 94.09/14.20 # Version: 3.1pre001
% 94.09/14.20 # Preprocessing class: FMLMSMSMSSSNFFN.
% 94.09/14.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 94.09/14.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 94.09/14.20 # Starting new_bool_3 with 300s (1) cores
% 94.09/14.20 # Starting new_bool_1 with 300s (1) cores
% 94.09/14.20 # Starting sh5l with 300s (1) cores
% 94.09/14.20 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14807 completed with status 0
% 94.09/14.20 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 94.09/14.20 # Preprocessing class: FMLMSMSMSSSNFFN.
% 94.09/14.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 94.09/14.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 94.09/14.20 # No SInE strategy applied
% 94.09/14.20 # Search class: FGHSM-SMLM33-DFFFFFNN
% 94.09/14.20 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 94.09/14.20 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 94.09/14.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 94.09/14.20 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 94.09/14.20 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 94.09/14.20 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 135s (1) cores
% 94.09/14.20 # SAT001_CA_MinMin_p005000_rr with pid 14822 completed with status 0
% 94.09/14.20 # Result found by SAT001_CA_MinMin_p005000_rr
% 94.09/14.20 # Preprocessing class: FMLMSMSMSSSNFFN.
% 94.09/14.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 94.09/14.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 94.09/14.20 # No SInE strategy applied
% 94.09/14.20 # Search class: FGHSM-SMLM33-DFFFFFNN
% 94.09/14.20 # Scheduled 6 strats onto 5 cores with 1499 seconds (1499 total)
% 94.09/14.20 # Starting SAT001_MinMin_p005000_rr with 810s (1) cores
% 94.09/14.20 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 94.09/14.20 # Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 94.09/14.20 # Preprocessing time : 0.138 s
% 94.09/14.20 # Presaturation interreduction done
% 94.09/14.20
% 94.09/14.20 # Proof found!
% 94.09/14.20 # SZS status ContradictoryAxioms
% 94.09/14.20 # SZS output start CNFRefutation
% See solution above
% 94.09/14.20 # Parsed axioms : 5244
% 94.09/14.20 # Removed by relevancy pruning/SinE : 0
% 94.09/14.20 # Initial clauses : 7615
% 94.09/14.20 # Removed in clause preprocessing : 233
% 94.09/14.20 # Initial clauses in saturation : 7382
% 94.09/14.20 # Processed clauses : 22636
% 94.09/14.20 # ...of these trivial : 465
% 94.09/14.20 # ...subsumed : 7774
% 94.09/14.20 # ...remaining for further processing : 14397
% 94.09/14.20 # Other redundant clauses eliminated : 1149
% 94.09/14.20 # Clauses deleted for lack of memory : 0
% 94.09/14.20 # Backward-subsumed : 139
% 94.09/14.20 # Backward-rewritten : 621
% 94.09/14.20 # Generated clauses : 210485
% 94.09/14.20 # ...of the previous two non-redundant : 200255
% 94.09/14.20 # ...aggressively subsumed : 0
% 94.09/14.20 # Contextual simplify-reflections : 30
% 94.09/14.20 # Paramodulations : 209362
% 94.09/14.20 # Factorizations : 2
% 94.09/14.20 # NegExts : 0
% 94.09/14.20 # Equation resolutions : 1187
% 94.09/14.20 # Total rewrite steps : 63928
% 94.09/14.20 # Propositional unsat checks : 3
% 94.09/14.20 # Propositional check models : 2
% 94.09/14.20 # Propositional check unsatisfiable : 0
% 94.09/14.20 # Propositional clauses : 0
% 94.09/14.20 # Propositional clauses after purity: 0
% 94.09/14.20 # Propositional unsat core size : 0
% 94.09/14.20 # Propositional preprocessing time : 0.000
% 94.09/14.20 # Propositional encoding time : 0.169
% 94.09/14.20 # Propositional solver time : 0.077
% 94.09/14.20 # Success case prop preproc time : 0.000
% 94.09/14.20 # Success case prop encoding time : 0.000
% 94.09/14.20 # Success case prop solver time : 0.000
% 94.09/14.20 # Current number of processed clauses : 7166
% 94.09/14.20 # Positive orientable unit clauses : 1757
% 94.09/14.20 # Positive unorientable unit clauses: 128
% 94.09/14.20 # Negative unit clauses : 843
% 94.09/14.20 # Non-unit-clauses : 4438
% 94.09/14.20 # Current number of unprocessed clauses: 179947
% 94.09/14.20 # ...number of literals in the above : 362716
% 94.09/14.20 # Current number of archived formulas : 0
% 94.09/14.20 # Current number of archived clauses : 6775
% 94.09/14.20 # Clause-clause subsumption calls (NU) : 5830804
% 94.09/14.20 # Rec. Clause-clause subsumption calls : 3114798
% 94.09/14.20 # Non-unit clause-clause subsumptions : 7964
% 94.09/14.20 # Unit Clause-clause subsumption calls : 201691
% 94.09/14.20 # Rewrite failures with RHS unbound : 322
% 94.09/14.20 # BW rewrite match attempts : 44626
% 94.09/14.20 # BW rewrite match successes : 1279
% 94.09/14.20 # Condensation attempts : 234364
% 94.09/14.20 # Condensation successes : 1874
% 94.09/14.20 # Termbank termtop insertions : 7298039
% 94.09/14.20
% 94.09/14.20 # -------------------------------------------------
% 94.09/14.20 # User time : 11.641 s
% 94.09/14.20 # System time : 0.284 s
% 94.09/14.20 # Total time : 11.925 s
% 94.09/14.20 # Maximum resident set size: 40140 pages
% 94.09/14.20
% 94.09/14.20 # -------------------------------------------------
% 94.09/14.20 # User time : 54.460 s
% 94.09/14.20 # System time : 1.582 s
% 94.09/14.20 # Total time : 56.042 s
% 94.09/14.20 # Maximum resident set size: 9464 pages
% 94.09/14.20 % E---3.1 exiting
%------------------------------------------------------------------------------