TSTP Solution File: SWW389+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:11:12 EDT 2023
% Result : ContradictoryAxioms 73.84s 11.79s
% Output : CNFRefutation 73.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 79 ( 62 unt; 0 def)
% Number of atoms : 98 ( 81 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 : 133 ( 16 sgn; 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X24,X5] :
( hAPP(c_Set_OCollect(X5),X24) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X24,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.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/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X24,X5] : hAPP(c_Set_OCollect(X5),X24) = X24,
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X24,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X24)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X24)),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X315,X314,X5,X62] : hAPP(hAPP(c_COMBK(X62,X5),X314),X315) = X314,
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X19,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)),X19)) = X19,
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X24] :
( ~ hBOOL(hAPP(c_fNot,X24))
| ~ hBOOL(X24) ),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',help_c__fNot__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/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_UNIV__def) ).
fof(fact_add__eq__self__zero,axiom,
! [X127,X128] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X128),X127) = X128
=> X127 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.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.gzLh2JRwA4/E---3.1_27026.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.gzLh2JRwA4/E---3.1_27026.p',fact_Pls__def) ).
fof(fact_Zero__not__Suc,axiom,
! [X128] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X128),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_Zero__not__Suc) ).
fof(help_c__COMBB__1,axiom,
! [X32,X23,X24,X63,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X63),X24),X23),X32) = hAPP(X24,hAPP(X23,X32)),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',help_c__COMBB__1) ).
fof(fact_Compl__empty__eq,axiom,
! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_Compl__empty__eq) ).
fof(fact_add__Suc__right,axiom,
! [X127,X128] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X128),hAPP(c_Nat_OSuc,X127)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X128),X127)),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_add__Suc__right) ).
fof(fact_converse__converse,axiom,
! [X79,X5,X17] : hAPP(c_Relation_Oconverse(X17,X5),hAPP(c_Relation_Oconverse(X5,X17),X79)) = X79,
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_converse__converse) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X128] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X128),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X128,
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X127] : X127 != hAPP(c_Nat_OSuc,X127),
file('/export/starexec/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p',fact_n__not__Suc__n) ).
fof(c_0_18,plain,
! [X24,X5] :
( hAPP(c_Set_OCollect(X5),X24) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X24,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_19,plain,
! [X1032] : c_Orderings_Obot__class_Obot(tc_fun(X1032,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X1032),hAPP(c_COMBK(tc_HOL_Obool,X1032),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_20,plain,
! [X3307,X3308] : hAPP(c_Set_OCollect(X3308),X3307) = X3307,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_21,plain,
! [X2236,X2237] : hAPP(c_Set_OCollect(X2237),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2237),c_fNot),X2236)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X2237,tc_HOL_Obool)),hAPP(c_Set_OCollect(X2237),X2236)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_22,plain,
! [X428,X429,X430,X431,X433] :
( ( hAPP(c_Set_OCollect(X429),X428) != c_Orderings_Obot__class_Obot(tc_fun(X429,tc_HOL_Obool))
| ~ hBOOL(hAPP(X428,X430)) )
& ( hBOOL(hAPP(X431,esk13_1(X431)))
| hAPP(c_Set_OCollect(X433),X431) = c_Orderings_Obot__class_Obot(tc_fun(X433,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,
! [X1317,X1318,X1319,X1320] : hAPP(hAPP(c_COMBK(X1320,X1319),X1318),X1317) = X1318,
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,
! [X4492,X4493] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4493,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4493,tc_HOL_Obool)),X4492)) = X4492,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_27,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_28,plain,
! [X24] :
( ~ hBOOL(hAPP(c_fNot,X24))
| ~ hBOOL(X24) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_29,plain,
( hBOOL(hAPP(X1,esk13_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_30,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,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_32,plain,
! [X13448] : c_Orderings_Otop__class_Otop(tc_fun(X13448,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X13448),hAPP(c_COMBK(tc_HOL_Obool,X13448),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_33,plain,
! [X4592,X4593] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4593),X4592) != X4593
| X4592 = 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_34,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_35,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_36,plain,
! [X4582] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X4582),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
fof(c_0_37,plain,
! [X2363,X2364,X2365,X2366,X2367,X2368] : hAPP(hAPP(hAPP(c_COMBB(X2368,X2367,X2366),X2365),X2364),X2363) = hAPP(X2365,hAPP(X2364,X2363)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_38,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_26]) ).
cnf(c_0_39,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_27,c_0_25]),c_0_25]) ).
fof(c_0_40,plain,
! [X2289] :
( ~ hBOOL(hAPP(c_fNot,X2289))
| ~ hBOOL(X2289) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk13_1(X1))) ),
inference(rw,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_42,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_43,plain,
! [X574] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X574,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X574,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X574,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_44,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_32]) ).
cnf(c_0_45,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_33]) ).
cnf(c_0_46,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_47,plain,
! [X4639,X4640] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4640),hAPP(c_Nat_OSuc,X4639)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4640),X4639)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_48,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,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_38,c_0_39]),c_0_39]) ).
fof(c_0_51,plain,
! [X11678,X11679,X11680] : hAPP(c_Relation_Oconverse(X11680,X11679),hAPP(c_Relation_Oconverse(X11679,X11680),X11678)) = X11678,
inference(variable_rename,[status(thm)],[fact_converse__converse]) ).
cnf(c_0_52,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_42]),c_0_30]) ).
cnf(c_0_54,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_43]) ).
cnf(c_0_55,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_44,c_0_25]) ).
cnf(c_0_56,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_45,c_0_46]) ).
cnf(c_0_57,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_47]) ).
cnf(c_0_58,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_48,c_0_46]) ).
fof(c_0_59,plain,
! [X4589] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4589),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4589,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_60,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]) ).
cnf(c_0_61,plain,
hAPP(c_Relation_Oconverse(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3)) = X3,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,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_54,c_0_39]) ).
cnf(c_0_64,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_30,c_0_55]) ).
cnf(c_0_65,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_56,c_0_57]),c_0_58]) ).
cnf(c_0_66,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_59]) ).
fof(c_0_67,plain,
! [X6101] : X6101 != hAPP(c_Nat_OSuc,X6101),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_68,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_62,c_0_53]) ).
cnf(c_0_70,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_64]),c_0_42]) ).
cnf(c_0_71,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_65,c_0_57]) ).
cnf(c_0_72,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_66,c_0_46]) ).
cnf(c_0_73,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_75,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_77,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_74]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 22:48:19 EDT 2023
% 0.11/0.32 % CPUTime :
% 1.30/1.50 Running first-order model finding
% 1.30/1.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.gzLh2JRwA4/E---3.1_27026.p
% 73.84/11.79 # Version: 3.1pre001
% 73.84/11.79 # Preprocessing class: FMLMSMSMSSSNFFN.
% 73.84/11.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 73.84/11.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 73.84/11.79 # Starting new_bool_3 with 300s (1) cores
% 73.84/11.79 # Starting new_bool_1 with 300s (1) cores
% 73.84/11.79 # Starting sh5l with 300s (1) cores
% 73.84/11.79 # sh5l with pid 27106 completed with status 0
% 73.84/11.79 # Result found by sh5l
% 73.84/11.79 # Preprocessing class: FMLMSMSMSSSNFFN.
% 73.84/11.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 73.84/11.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 73.84/11.79 # Starting new_bool_3 with 300s (1) cores
% 73.84/11.79 # Starting new_bool_1 with 300s (1) cores
% 73.84/11.79 # Starting sh5l with 300s (1) cores
% 73.84/11.79 # SinE strategy is gf500_gu_R04_F100_L20000
% 73.84/11.79 # Search class: FGHSM-SMLM33-DFFFFFNN
% 73.84/11.79 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 73.84/11.79 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 73.84/11.79 # SAT001_MinMin_p005000_rr with pid 27109 completed with status 0
% 73.84/11.79 # Result found by SAT001_MinMin_p005000_rr
% 73.84/11.79 # Preprocessing class: FMLMSMSMSSSNFFN.
% 73.84/11.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 73.84/11.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 73.84/11.79 # Starting new_bool_3 with 300s (1) cores
% 73.84/11.79 # Starting new_bool_1 with 300s (1) cores
% 73.84/11.79 # Starting sh5l with 300s (1) cores
% 73.84/11.79 # SinE strategy is gf500_gu_R04_F100_L20000
% 73.84/11.79 # Search class: FGHSM-SMLM33-DFFFFFNN
% 73.84/11.79 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 73.84/11.79 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 73.84/11.79 # Preprocessing time : 0.160 s
% 73.84/11.79 # Presaturation interreduction done
% 73.84/11.79
% 73.84/11.79 # Proof found!
% 73.84/11.79 # SZS status ContradictoryAxioms
% 73.84/11.79 # SZS output start CNFRefutation
% See solution above
% 73.84/11.79 # Parsed axioms : 5241
% 73.84/11.79 # Removed by relevancy pruning/SinE : 613
% 73.84/11.79 # Initial clauses : 6665
% 73.84/11.79 # Removed in clause preprocessing : 168
% 73.84/11.79 # Initial clauses in saturation : 6497
% 73.84/11.79 # Processed clauses : 20639
% 73.84/11.79 # ...of these trivial : 321
% 73.84/11.79 # ...subsumed : 9067
% 73.84/11.79 # ...remaining for further processing : 11251
% 73.84/11.79 # Other redundant clauses eliminated : 1384
% 73.84/11.79 # Clauses deleted for lack of memory : 0
% 73.84/11.79 # Backward-subsumed : 206
% 73.84/11.79 # Backward-rewritten : 368
% 73.84/11.79 # Generated clauses : 167910
% 73.84/11.79 # ...of the previous two non-redundant : 159657
% 73.84/11.79 # ...aggressively subsumed : 0
% 73.84/11.79 # Contextual simplify-reflections : 81
% 73.84/11.79 # Paramodulations : 166532
% 73.84/11.79 # Factorizations : 6
% 73.84/11.79 # NegExts : 0
% 73.84/11.79 # Equation resolutions : 1431
% 73.84/11.79 # Total rewrite steps : 54575
% 73.84/11.79 # Propositional unsat checks : 3
% 73.84/11.79 # Propositional check models : 2
% 73.84/11.79 # Propositional check unsatisfiable : 0
% 73.84/11.79 # Propositional clauses : 0
% 73.84/11.79 # Propositional clauses after purity: 0
% 73.84/11.79 # Propositional unsat core size : 0
% 73.84/11.79 # Propositional preprocessing time : 0.000
% 73.84/11.79 # Propositional encoding time : 0.497
% 73.84/11.79 # Propositional solver time : 0.180
% 73.84/11.79 # Success case prop preproc time : 0.000
% 73.84/11.79 # Success case prop encoding time : 0.000
% 73.84/11.79 # Success case prop solver time : 0.000
% 73.84/11.79 # Current number of processed clauses : 5012
% 73.84/11.79 # Positive orientable unit clauses : 1460
% 73.84/11.79 # Positive unorientable unit clauses: 118
% 73.84/11.79 # Negative unit clauses : 885
% 73.84/11.79 # Non-unit-clauses : 2549
% 73.84/11.79 # Current number of unprocessed clauses: 143350
% 73.84/11.79 # ...number of literals in the above : 302026
% 73.84/11.79 # Current number of archived formulas : 0
% 73.84/11.79 # Current number of archived clauses : 5804
% 73.84/11.79 # Clause-clause subsumption calls (NU) : 2971662
% 73.84/11.79 # Rec. Clause-clause subsumption calls : 1309881
% 73.84/11.79 # Non-unit clause-clause subsumptions : 5807
% 73.84/11.79 # Unit Clause-clause subsumption calls : 355218
% 73.84/11.79 # Rewrite failures with RHS unbound : 681
% 73.84/11.79 # BW rewrite match attempts : 34231
% 73.84/11.79 # BW rewrite match successes : 1192
% 73.84/11.79 # Condensation attempts : 0
% 73.84/11.79 # Condensation successes : 0
% 73.84/11.79 # Termbank termtop insertions : 6478271
% 73.84/11.79
% 73.84/11.79 # -------------------------------------------------
% 73.84/11.79 # User time : 9.542 s
% 73.84/11.79 # System time : 0.293 s
% 73.84/11.79 # Total time : 9.835 s
% 73.84/11.79 # Maximum resident set size: 37792 pages
% 73.84/11.79
% 73.84/11.79 # -------------------------------------------------
% 73.84/11.79 # User time : 9.786 s
% 73.84/11.79 # System time : 0.304 s
% 73.84/11.79 # Total time : 10.090 s
% 73.84/11.79 # Maximum resident set size: 9536 pages
% 73.84/11.79 % E---3.1 exiting
%------------------------------------------------------------------------------