TSTP Solution File: SWW376+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW376+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:14:22 EDT 2024
% Result : ContradictoryAxioms 55.96s 8.93s
% Output : CNFRefutation 55.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 78 ( 58 unt; 0 def)
% Number of atoms : 102 ( 82 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 31 ~; 19 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 160 ( 25 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X19,X6] :
( hAPP(c_Set_OCollect(X6),X19) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X19,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.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.GKgZWQImrZ/E---3.1_13590.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X19,X6] : hAPP(c_Set_OCollect(X6),X19) = X19,
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X19,X6] : hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X6),c_fNot),X19)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X6,tc_HOL_Obool)),hAPP(c_Set_OCollect(X6),X19)),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_Collect__neg__eq) ).
fof(fact_vimage__Collect__eq,axiom,
! [X19,X2,X7,X6] : hAPP(c_Set_Ovimage(X6,X7,X2),hAPP(c_Set_OCollect(X7),X19)) = hAPP(c_Set_OCollect(X6),hAPP(hAPP(c_COMBB(X7,tc_HOL_Obool,X6),X19),X2)),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_vimage__Collect__eq) ).
fof(help_c__COMBK__1,axiom,
! [X326,X39,X7,X6] : hAPP(hAPP(c_COMBK(X6,X7),X39),X326) = X39,
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X4,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)),X4)) = X4,
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_double__complement) ).
fof(fact_vimage__id,axiom,
! [X4,X6] : hAPP(c_Set_Ovimage(X6,X6,c_Fun_Oid(X6)),X4) = X4,
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_vimage__id) ).
fof(help_c__fNot__1,axiom,
! [X19] :
( ~ hBOOL(hAPP(c_fNot,X19))
| ~ hBOOL(X19) ),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',help_c__fNot__1) ).
fof(fact_number__of__is__id,axiom,
! [X137] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X137) = X137,
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_number__of__is__id) ).
fof(fact_id__apply,axiom,
! [X41,X6] : hAPP(c_Fun_Oid(X6),X41) = X41,
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_id__apply) ).
fof(help_c__COMBB__1,axiom,
! [X67,X43,X19,X5,X6,X7] : hAPP(hAPP(hAPP(c_COMBB(X7,X6,X5),X19),X43),X67) = hAPP(X19,hAPP(X43,X67)),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',help_c__COMBB__1) ).
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.GKgZWQImrZ/E---3.1_13590.p',fact_neg__number__of__Min) ).
fof(fact_com_Osimps_I18_J,axiom,
! [X79] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X79),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_com_Osimps_I18_J) ).
fof(fact_com_Osimps_I6_J,axiom,
! [X9,X10] :
( hAPP(c_Com_Ocom_OBODY,X10) = hAPP(c_Com_Ocom_OBODY,X9)
<=> X10 = X9 ),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_com_Osimps_I6_J) ).
fof(fact_com_Osimps_I41_J,axiom,
! [X52,X30,X307,X9] : hAPP(c_Com_Ocom_OBODY,X9) != c_Com_Ocom_OLocal(X307,X30,X52),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_com_Osimps_I41_J) ).
fof(fact_com_Osimps_I10_J,axiom,
! [X49,X28,X308] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X308,X28,X49),
file('/export/starexec/sandbox2/tmp/tmp.GKgZWQImrZ/E---3.1_13590.p',fact_com_Osimps_I10_J) ).
fof(c_0_17,plain,
! [X19,X6] :
( hAPP(c_Set_OCollect(X6),X19) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X19,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_18,plain,
! [X15505] : c_Orderings_Obot__class_Obot(tc_fun(X15505,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X15505),hAPP(c_COMBK(tc_HOL_Obool,X15505),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_19,plain,
! [X4443,X4444] : hAPP(c_Set_OCollect(X4444),X4443) = X4443,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_20,plain,
! [X4381,X4382] : hAPP(c_Set_OCollect(X4382),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4382),c_fNot),X4381)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4382,tc_HOL_Obool)),hAPP(c_Set_OCollect(X4382),X4381)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_21,plain,
! [X4445,X4446,X4447,X4448] : hAPP(c_Set_Ovimage(X4448,X4447,X4446),hAPP(c_Set_OCollect(X4447),X4445)) = hAPP(c_Set_OCollect(X4448),hAPP(hAPP(c_COMBB(X4447,tc_HOL_Obool,X4448),X4445),X4446)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_22,plain,
! [X2302,X2303,X2304,X2305,X2307] :
( ( hAPP(c_Set_OCollect(X2303),X2302) != c_Orderings_Obot__class_Obot(tc_fun(X2303,tc_HOL_Obool))
| ~ hBOOL(hAPP(X2302,X2304)) )
& ( hBOOL(hAPP(X2305,esk63_1(X2305)))
| hAPP(c_Set_OCollect(X2307),X2305) = c_Orderings_Obot__class_Obot(tc_fun(X2307,tc_HOL_Obool)) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
fof(c_0_23,plain,
! [X2079,X2080,X2081,X2082] : hAPP(hAPP(c_COMBK(X2082,X2081),X2080),X2079) = X2080,
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_18]) ).
cnf(c_0_25,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,plain,
! [X7404,X7405] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7405,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X7405,tc_HOL_Obool)),X7404)) = X7404,
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_20]) ).
fof(c_0_28,plain,
! [X9311,X9312] : hAPP(c_Set_Ovimage(X9312,X9312,c_Fun_Oid(X9312)),X9311) = X9311,
inference(variable_rename,[status(thm)],[fact_vimage__id]) ).
cnf(c_0_29,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_21]) ).
fof(c_0_30,plain,
! [X19] :
( ~ hBOOL(hAPP(c_fNot,X19))
| ~ hBOOL(X19) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_31,plain,
( hBOOL(hAPP(X1,esk63_1(X1)))
| hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
hAPP(c_COMBK(tc_HOL_Obool,X1),c_fFalse) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,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_35,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]) ).
cnf(c_0_36,plain,
hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,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_29,c_0_25]),c_0_25]) ).
fof(c_0_38,plain,
! [X4429] :
( ~ hBOOL(hAPP(c_fNot,X4429))
| ~ hBOOL(X4429) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
cnf(c_0_39,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk63_1(X1))) ),
inference(rw,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_40,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_41,plain,
! [X7634] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X7634) = X7634,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_42,plain,
! [X11329,X11330] : hAPP(c_Fun_Oid(X11330),X11329) = X11329,
inference(variable_rename,[status(thm)],[fact_id__apply]) ).
cnf(c_0_43,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_34,c_0_35]),c_0_35]) ).
cnf(c_0_44,plain,
hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_45,plain,
! [X1291,X1292,X1293,X1294,X1295,X1296] : hAPP(hAPP(hAPP(c_COMBB(X1296,X1295,X1294),X1293),X1292),X1291) = hAPP(X1293,hAPP(X1292,X1291)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_46,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_39]),c_0_40]),c_0_32]) ).
cnf(c_0_48,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_49,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,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_43,c_0_44]) ).
cnf(c_0_52,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_55,plain,
! [X79] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X79),
inference(fof_simplification,[status(thm)],[fact_com_Osimps_I18_J]) ).
cnf(c_0_56,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_57,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = c_fFalse,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
! [X1101] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1101),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).
cnf(c_0_59,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
cnf(c_0_60,plain,
hAPP(c_fNot,c_fFalse) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,plain,
! [X1076,X1077] :
( ( hAPP(c_Com_Ocom_OBODY,X1077) != hAPP(c_Com_Ocom_OBODY,X1076)
| X1077 = X1076 )
& ( X1077 != X1076
| hAPP(c_Com_Ocom_OBODY,X1077) = hAPP(c_Com_Ocom_OBODY,X1076) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_com_Osimps_I6_J])])]) ).
cnf(c_0_62,plain,
c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,X1),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_fFalse = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_59]),c_0_60]) ).
cnf(c_0_64,plain,
( X1 = X2
| hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Com_Ocom_OBODY,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_65,plain,
( hAPP(c_Com_Ocom_OBODY,X1) = c_fFalse
| hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) != c_Com_Ocom_OSKIP ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
( X1 = X2
| hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) != c_Com_Ocom_OSKIP ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_65]) ).
fof(c_0_67,plain,
! [X52,X30,X307,X9] : hAPP(c_Com_Ocom_OBODY,X9) != c_Com_Ocom_OLocal(X307,X30,X52),
inference(fof_simplification,[status(thm)],[fact_com_Osimps_I41_J]) ).
cnf(c_0_68,plain,
( c_fFalse = c_Com_Ocom_OSKIP
| X1 = X2 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63])]) ).
fof(c_0_69,plain,
! [X49,X28,X308] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X308,X28,X49),
inference(fof_simplification,[status(thm)],[fact_com_Osimps_I10_J]) ).
fof(c_0_70,plain,
! [X1117,X1118,X1119,X1120] : hAPP(c_Com_Ocom_OBODY,X1120) != c_Com_Ocom_OLocal(X1119,X1118,X1117),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_67])]) ).
cnf(c_0_71,plain,
c_fFalse = c_Com_Ocom_OSKIP,
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_68])]) ).
fof(c_0_72,plain,
! [X6528,X6529,X6530] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X6530,X6529,X6528),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_69])]) ).
cnf(c_0_73,plain,
hAPP(c_Com_Ocom_OBODY,X1) != c_Com_Ocom_OLocal(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_74,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| c_Com_Ocom_OSKIP = X1 ),
inference(rw,[status(thm)],[c_0_63,c_0_71]) ).
cnf(c_0_75,plain,
c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_76,plain,
hAPP(c_Com_Ocom_OBODY,X1) != hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_77,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW376+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d SAT
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 07:15:54 EDT 2024
% 0.12/0.34 % 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.GKgZWQImrZ/E---3.1_13590.p
% 55.96/8.93 # Version: 3.2.0
% 55.96/8.93 # Preprocessing class: FMLMSLSMSSSNFFN.
% 55.96/8.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 55.96/8.93 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 55.96/8.93 # Starting new_bool_3 with 300s (1) cores
% 55.96/8.93 # Starting new_bool_1 with 300s (1) cores
% 55.96/8.93 # Starting sh5l with 300s (1) cores
% 55.96/8.93 # sh5l with pid 13672 completed with status 0
% 55.96/8.93 # Result found by sh5l
% 55.96/8.93 # Preprocessing class: FMLMSLSMSSSNFFN.
% 55.96/8.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 55.96/8.93 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 55.96/8.93 # Starting new_bool_3 with 300s (1) cores
% 55.96/8.93 # Starting new_bool_1 with 300s (1) cores
% 55.96/8.93 # Starting sh5l with 300s (1) cores
% 55.96/8.93 # SinE strategy is gf500_gu_R04_F100_L20000
% 55.96/8.93 # Search class: FGHSM-SMLM33-DFFFFFNN
% 55.96/8.93 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 55.96/8.93 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 55.96/8.93 # SAT001_MinMin_p005000_rr with pid 13675 completed with status 0
% 55.96/8.93 # Result found by SAT001_MinMin_p005000_rr
% 55.96/8.93 # Preprocessing class: FMLMSLSMSSSNFFN.
% 55.96/8.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 55.96/8.93 # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 55.96/8.93 # Starting new_bool_3 with 300s (1) cores
% 55.96/8.93 # Starting new_bool_1 with 300s (1) cores
% 55.96/8.93 # Starting sh5l with 300s (1) cores
% 55.96/8.93 # SinE strategy is gf500_gu_R04_F100_L20000
% 55.96/8.93 # Search class: FGHSM-SMLM33-DFFFFFNN
% 55.96/8.93 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 55.96/8.93 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 55.96/8.93 # Preprocessing time : 0.159 s
% 55.96/8.93 # Presaturation interreduction done
% 55.96/8.93
% 55.96/8.93 # Proof found!
% 55.96/8.93 # SZS status ContradictoryAxioms
% 55.96/8.93 # SZS output start CNFRefutation
% See solution above
% 55.96/8.93 # Parsed axioms : 5243
% 55.96/8.93 # Removed by relevancy pruning/SinE : 649
% 55.96/8.93 # Initial clauses : 6669
% 55.96/8.93 # Removed in clause preprocessing : 175
% 55.96/8.93 # Initial clauses in saturation : 6494
% 55.96/8.93 # Processed clauses : 19175
% 55.96/8.93 # ...of these trivial : 340
% 55.96/8.93 # ...subsumed : 7183
% 55.96/8.93 # ...remaining for further processing : 11652
% 55.96/8.93 # Other redundant clauses eliminated : 5108
% 55.96/8.93 # Clauses deleted for lack of memory : 0
% 55.96/8.93 # Backward-subsumed : 292
% 55.96/8.93 # Backward-rewritten : 515
% 55.96/8.93 # Generated clauses : 222144
% 55.96/8.93 # ...of the previous two non-redundant : 211509
% 55.96/8.93 # ...aggressively subsumed : 0
% 55.96/8.93 # Contextual simplify-reflections : 29
% 55.96/8.93 # Paramodulations : 217017
% 55.96/8.93 # Factorizations : 14
% 55.96/8.93 # NegExts : 0
% 55.96/8.93 # Equation resolutions : 5171
% 55.96/8.93 # Disequality decompositions : 0
% 55.96/8.93 # Total rewrite steps : 52685
% 55.96/8.93 # ...of those cached : 39904
% 55.96/8.93 # Propositional unsat checks : 3
% 55.96/8.93 # Propositional check models : 2
% 55.96/8.93 # Propositional check unsatisfiable : 0
% 55.96/8.93 # Propositional clauses : 0
% 55.96/8.93 # Propositional clauses after purity: 0
% 55.96/8.93 # Propositional unsat core size : 0
% 55.96/8.93 # Propositional preprocessing time : 0.000
% 55.96/8.93 # Propositional encoding time : 0.172
% 55.96/8.93 # Propositional solver time : 0.076
% 55.96/8.93 # Success case prop preproc time : 0.000
% 55.96/8.93 # Success case prop encoding time : 0.000
% 55.96/8.93 # Success case prop solver time : 0.000
% 55.96/8.93 # Current number of processed clauses : 5223
% 55.96/8.93 # Positive orientable unit clauses : 1422
% 55.96/8.93 # Positive unorientable unit clauses: 118
% 55.96/8.93 # Negative unit clauses : 970
% 55.96/8.93 # Non-unit-clauses : 2713
% 55.96/8.93 # Current number of unprocessed clauses: 185214
% 55.96/8.93 # ...number of literals in the above : 375829
% 55.96/8.93 # Current number of archived formulas : 0
% 55.96/8.93 # Current number of archived clauses : 6008
% 55.96/8.93 # Clause-clause subsumption calls (NU) : 4383002
% 55.96/8.93 # Rec. Clause-clause subsumption calls : 1972410
% 55.96/8.93 # Non-unit clause-clause subsumptions : 3174
% 55.96/8.93 # Unit Clause-clause subsumption calls : 207562
% 55.96/8.93 # Rewrite failures with RHS unbound : 435
% 55.96/8.93 # BW rewrite match attempts : 36670
% 55.96/8.93 # BW rewrite match successes : 1228
% 55.96/8.93 # Condensation attempts : 0
% 55.96/8.93 # Condensation successes : 0
% 55.96/8.93 # Termbank termtop insertions : 6523609
% 55.96/8.93 # Search garbage collected termcells : 94279
% 55.96/8.93
% 55.96/8.93 # -------------------------------------------------
% 55.96/8.93 # User time : 7.003 s
% 55.96/8.93 # System time : 0.211 s
% 55.96/8.93 # Total time : 7.215 s
% 55.96/8.93 # Maximum resident set size: 37684 pages
% 55.96/8.93
% 55.96/8.93 # -------------------------------------------------
% 55.96/8.93 # User time : 7.124 s
% 55.96/8.93 # System time : 0.219 s
% 55.96/8.93 # Total time : 7.343 s
% 55.96/8.93 # Maximum resident set size: 9552 pages
% 55.96/8.93 % E---3.1 exiting
% 55.96/8.93 % E exiting
%------------------------------------------------------------------------------