TSTP Solution File: SWW296+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW296+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 20:10:58 EDT 2023
% Result : ContradictoryAxioms 89.20s 13.94s
% Output : CNFRefutation 89.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 85 ( 68 unt; 0 def)
% Number of atoms : 104 ( 84 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 : 25 ( 25 usr; 11 con; 0-5 aty)
% Number of variables : 152 ( 18 sgn; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X23,X6] :
( hAPP(c_Set_OCollect(X6),X23) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.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.wuVMEevFSw/E---3.1_13770.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X23,X6] : hAPP(c_Set_OCollect(X6),X23) = X23,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X23,X6] : hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),X23)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6),X23)),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X331,X102,X6,X115] : hAPP(hAPP(c_COMBK(X115,X6),X102),X331) = X102,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X129,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)),X129)) = X129,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_double__complement) ).
fof(fact_singleton__conv2,axiom,
! [X31,X6] : hAPP(c_Set_OCollect(X6),hAPP(c_fequal,X31)) = hAPP(hAPP(c_Set_Oinsert(X6),X31),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_singleton__conv2) ).
fof(help_c__fNot__1,axiom,
! [X23] :
( ~ hBOOL(hAPP(c_fNot,X23))
| ~ hBOOL(X23) ),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',help_c__fNot__1) ).
fof(fact_sum__case__KK,axiom,
! [X38,X31,X27,X6,X19] : hAPP(c_Sum__Type_Osum_Osum__case(X19,X6,X27,hAPP(c_COMBK(X6,X19),X31),hAPP(c_COMBK(X6,X27),X31)),X38) = X31,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_sum__case__KK) ).
fof(help_c__COMBB__1,axiom,
! [X89,X39,X23,X27,X6,X19] : hAPP(hAPP(hAPP(c_COMBB(X19,X6,X27),X23),X39),X89) = hAPP(X23,hAPP(X39,X89)),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',help_c__COMBB__1) ).
fof(fact_fold1__singleton,axiom,
! [X31,X2,X6] : hAPP(c_Finite__Set_Ofold1(X6,X2),hAPP(hAPP(c_Set_Oinsert(X6),X31),c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)))) = X31,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_fold1__singleton) ).
fof(fact_number__of__is__id,axiom,
! [X117] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X117) = X117,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_number__of__is__id) ).
fof(fact_add__eq__self__zero,axiom,
! [X8,X56] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),X8) = X56
=> X8 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.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.wuVMEevFSw/E---3.1_13770.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.wuVMEevFSw/E---3.1_13770.p',fact_Pls__def) ).
fof(fact_Zero__not__Suc,axiom,
! [X56] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X56),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_Zero__not__Suc) ).
fof(fact_neg__number__of__Min,axiom,
hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_neg__number__of__Min) ).
fof(fact_add__Suc__right,axiom,
! [X8,X56] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),hAPP(c_Nat_OSuc,X8)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),X8)),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X56] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X56),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X56,
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X8] : X8 != hAPP(c_Nat_OSuc,X8),
file('/export/starexec/sandbox2/tmp/tmp.wuVMEevFSw/E---3.1_13770.p',fact_n__not__Suc__n) ).
fof(c_0_20,plain,
! [X23,X6] :
( hAPP(c_Set_OCollect(X6),X23) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X23,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_21,plain,
! [X15476] : c_Orderings_Obot__class_Obot(tc_fun(X15476,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15476),hAPP(c_COMBK(tc_HOL_Obool,X15476),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_22,plain,
! [X3447,X3448] : hAPP(c_Set_OCollect(X3448),X3447) = X3447,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_23,plain,
! [X3449,X3450] : hAPP(c_Set_OCollect(X3450),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3450),c_fNot),X3449)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3450,tc_HOL_Obool)),hAPP(c_Set_OCollect(X3450),X3449)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_24,plain,
! [X3514,X3515,X3516,X3517,X3519] :
( ( hAPP(c_Set_OCollect(X3515),X3514) != c_Orderings_Obot__class_Obot(tc_fun(X3515,tc_HOL_Obool))
| ~ hBOOL(hAPP(X3514,X3516)) )
& ( hBOOL(hAPP(X3517,esk88_1(X3517)))
| hAPP(c_Set_OCollect(X3519),X3517) = c_Orderings_Obot__class_Obot(tc_fun(X3519,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_20])])])])]) ).
fof(c_0_25,plain,
! [X6109,X6110,X6111,X6112] : hAPP(hAPP(c_COMBK(X6112,X6111),X6110),X6109) = X6110,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_26,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_21]) ).
cnf(c_0_27,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X7661,X7662] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7662,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7662,tc_HOL_Obool)),X7661)) = X7661,
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_23]) ).
fof(c_0_30,plain,
! [X3526,X3527] : hAPP(c_Set_OCollect(X3527),hAPP(c_fequal,X3526)) = hAPP(hAPP(c_Set_Oinsert(X3527),X3526),c_Orderings_Obot__class_Obot(tc_fun(X3527,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_31,plain,
! [X23] :
( ~ hBOOL(hAPP(c_fNot,X23))
| ~ hBOOL(X23) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
fof(c_0_32,plain,
! [X15042,X15043,X15044,X15045,X15046] : hAPP(c_Sum__Type_Osum_Osum__case(X15046,X15045,X15044,hAPP(c_COMBK(X15045,X15046),X15043),hAPP(c_COMBK(X15045,X15044),X15043)),X15042) = X15043,
inference(variable_rename,[status(thm)],[fact_sum__case__KK]) ).
cnf(c_0_33,plain,
( hBOOL(hAPP(X1,esk88_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_24]) ).
cnf(c_0_34,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,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_26,c_0_27]) ).
fof(c_0_36,plain,
! [X1934,X1935,X1936,X1937,X1938,X1939] : hAPP(hAPP(hAPP(c_COMBB(X1939,X1938,X1937),X1936),X1935),X1934) = hAPP(X1936,hAPP(X1935,X1934)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_37,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_38,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_27]),c_0_27]) ).
fof(c_0_39,plain,
! [X14130,X14131,X14132] : hAPP(c_Finite__Set_Ofold1(X14132,X14131),hAPP(hAPP(c_Set_Oinsert(X14132),X14130),c_Orderings_Obot__class_Obot(tc_fun(X14132,tc_HOL_Obool)))) = X14130,
inference(variable_rename,[status(thm)],[fact_fold1__singleton]) ).
cnf(c_0_40,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_41,plain,
! [X6647] :
( ~ hBOOL(hAPP(c_fNot,X6647))
| ~ hBOOL(X6647) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
hAPP(c_Sum__Type_Osum_Osum__case(X1,X2,X3,hAPP(c_COMBK(X2,X1),X4),hAPP(c_COMBK(X2,X3),X4)),X5) = X4,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk88_1(X1))) ),
inference(rw,[status(thm)],[c_0_33,c_0_27]) ).
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_34,c_0_35]) ).
fof(c_0_45,plain,
! [X2934] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X2934) = X2934,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_46,plain,
! [X1424,X1425] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1425),X1424) != X1425
| X1424 = 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_47,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_48,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_49,plain,
! [X1404] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1404),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_50,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,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_37,c_0_38]),c_0_38]) ).
cnf(c_0_52,plain,
hAPP(c_Finite__Set_Ofold1(X1,X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = X3,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_54,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_42]) ).
cnf(c_0_56,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))),
inference(split_conjunct,[status(thm)],[fact_neg__number__of__Min]) ).
cnf(c_0_57,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,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_46]) ).
cnf(c_0_59,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_60,plain,
! [X1434,X1435] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1435),hAPP(c_Nat_OSuc,X1434)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1435),X1434)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_61,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
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_50,c_0_51]),c_0_50]) ).
cnf(c_0_63,plain,
hAPP(c_Finite__Set_Ofold1(X1,X2),hAPP(c_fequal,X3)) = X3,
inference(rw,[status(thm)],[c_0_52,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,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,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_58,c_0_59]) ).
cnf(c_0_67,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_60]) ).
cnf(c_0_68,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_61,c_0_59]) ).
fof(c_0_69,plain,
! [X1428] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1428),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1428,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_70,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,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_66,c_0_67]),c_0_68]) ).
cnf(c_0_73,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_69]) ).
fof(c_0_74,plain,
! [X2120] : X2120 != hAPP(c_Nat_OSuc,X2120),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_75,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_64,c_0_55]) ).
cnf(c_0_76,plain,
hAPP(c_fNot,c_fFalse) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,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_72,c_0_67]) ).
cnf(c_0_78,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_73,c_0_59]) ).
cnf(c_0_79,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_75]),c_0_76]) ).
cnf(c_0_81,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_83,plain,
hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) != hAPP(c_Nat_OSuc,c_fFalse),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_84,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_80])]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW296+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 23:04:22 EDT 2023
% 0.14/0.36 % CPUTime :
% 1.43/1.62 Running first-order model finding
% 1.43/1.62 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.wuVMEevFSw/E---3.1_13770.p
% 89.20/13.94 # Version: 3.1pre001
% 89.20/13.94 # Preprocessing class: FMLMSMSMSSSNFFN.
% 89.20/13.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 89.20/13.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 89.20/13.94 # Starting new_bool_3 with 300s (1) cores
% 89.20/13.94 # Starting new_bool_1 with 300s (1) cores
% 89.20/13.94 # Starting sh5l with 300s (1) cores
% 89.20/13.94 # sh5l with pid 13850 completed with status 0
% 89.20/13.94 # Result found by sh5l
% 89.20/13.94 # Preprocessing class: FMLMSMSMSSSNFFN.
% 89.20/13.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 89.20/13.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 89.20/13.94 # Starting new_bool_3 with 300s (1) cores
% 89.20/13.94 # Starting new_bool_1 with 300s (1) cores
% 89.20/13.94 # Starting sh5l with 300s (1) cores
% 89.20/13.94 # SinE strategy is gf500_gu_R04_F100_L20000
% 89.20/13.94 # Search class: FGHSM-SMLM33-DFFFFFNN
% 89.20/13.94 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 89.20/13.94 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 89.20/13.94 # SAT001_MinMin_p005000_rr with pid 13853 completed with status 0
% 89.20/13.94 # Result found by SAT001_MinMin_p005000_rr
% 89.20/13.94 # Preprocessing class: FMLMSMSMSSSNFFN.
% 89.20/13.94 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 89.20/13.94 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 89.20/13.94 # Starting new_bool_3 with 300s (1) cores
% 89.20/13.94 # Starting new_bool_1 with 300s (1) cores
% 89.20/13.94 # Starting sh5l with 300s (1) cores
% 89.20/13.94 # SinE strategy is gf500_gu_R04_F100_L20000
% 89.20/13.94 # Search class: FGHSM-SMLM33-DFFFFFNN
% 89.20/13.94 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 89.20/13.94 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 89.20/13.94 # Preprocessing time : 0.169 s
% 89.20/13.94 # Presaturation interreduction done
% 89.20/13.94
% 89.20/13.94 # Proof found!
% 89.20/13.94 # SZS status ContradictoryAxioms
% 89.20/13.94 # SZS output start CNFRefutation
% See solution above
% 89.20/13.94 # Parsed axioms : 5222
% 89.20/13.94 # Removed by relevancy pruning/SinE : 653
% 89.20/13.94 # Initial clauses : 6665
% 89.20/13.94 # Removed in clause preprocessing : 203
% 89.20/13.94 # Initial clauses in saturation : 6462
% 89.20/13.94 # Processed clauses : 20678
% 89.20/13.94 # ...of these trivial : 384
% 89.20/13.94 # ...subsumed : 9234
% 89.20/13.94 # ...remaining for further processing : 11060
% 89.20/13.94 # Other redundant clauses eliminated : 3359
% 89.20/13.94 # Clauses deleted for lack of memory : 0
% 89.20/13.94 # Backward-subsumed : 155
% 89.20/13.94 # Backward-rewritten : 427
% 89.20/13.94 # Generated clauses : 231529
% 89.20/13.94 # ...of the previous two non-redundant : 220741
% 89.20/13.94 # ...aggressively subsumed : 0
% 89.20/13.94 # Contextual simplify-reflections : 28
% 89.20/13.94 # Paramodulations : 228157
% 89.20/13.94 # Factorizations : 6
% 89.20/13.94 # NegExts : 0
% 89.20/13.94 # Equation resolutions : 3415
% 89.20/13.94 # Total rewrite steps : 62780
% 89.20/13.94 # Propositional unsat checks : 3
% 89.20/13.94 # Propositional check models : 2
% 89.20/13.94 # Propositional check unsatisfiable : 0
% 89.20/13.94 # Propositional clauses : 0
% 89.20/13.94 # Propositional clauses after purity: 0
% 89.20/13.94 # Propositional unsat core size : 0
% 89.20/13.94 # Propositional preprocessing time : 0.000
% 89.20/13.94 # Propositional encoding time : 0.535
% 89.20/13.94 # Propositional solver time : 0.203
% 89.20/13.94 # Success case prop preproc time : 0.000
% 89.20/13.94 # Success case prop encoding time : 0.000
% 89.20/13.94 # Success case prop solver time : 0.000
% 89.20/13.94 # Current number of processed clauses : 4897
% 89.20/13.94 # Positive orientable unit clauses : 1489
% 89.20/13.94 # Positive unorientable unit clauses: 109
% 89.20/13.94 # Negative unit clauses : 1469
% 89.20/13.94 # Non-unit-clauses : 1830
% 89.20/13.94 # Current number of unprocessed clauses: 191986
% 89.20/13.94 # ...number of literals in the above : 365944
% 89.20/13.94 # Current number of archived formulas : 0
% 89.20/13.94 # Current number of archived clauses : 5740
% 89.20/13.94 # Clause-clause subsumption calls (NU) : 4370880
% 89.20/13.94 # Rec. Clause-clause subsumption calls : 1761802
% 89.20/13.94 # Non-unit clause-clause subsumptions : 3667
% 89.20/13.94 # Unit Clause-clause subsumption calls : 235942
% 89.20/13.94 # Rewrite failures with RHS unbound : 428
% 89.20/13.94 # BW rewrite match attempts : 37783
% 89.20/13.94 # BW rewrite match successes : 1371
% 89.20/13.94 # Condensation attempts : 0
% 89.20/13.94 # Condensation successes : 0
% 89.20/13.94 # Termbank termtop insertions : 8059506
% 89.20/13.94
% 89.20/13.94 # -------------------------------------------------
% 89.20/13.94 # User time : 10.610 s
% 89.20/13.94 # System time : 0.284 s
% 89.20/13.94 # Total time : 10.894 s
% 89.20/13.94 # Maximum resident set size: 37992 pages
% 89.20/13.94
% 89.20/13.94 # -------------------------------------------------
% 89.20/13.94 # User time : 10.869 s
% 89.20/13.94 # System time : 0.293 s
% 89.20/13.94 # Total time : 11.162 s
% 89.20/13.94 # Maximum resident set size: 9612 pages
% 89.20/13.94 % E---3.1 exiting
%------------------------------------------------------------------------------