TSTP Solution File: SWW395+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW395+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 30.14s 6.19s
% Output : CNFRefutation 30.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 97 ( 72 unt; 0 def)
% Number of atoms : 128 ( 111 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 41 ~; 24 |; 3 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 158 ( 22 sgn; 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__empty__eq,axiom,
! [X7,X5] :
( hAPP(c_Set_OCollect(X5),X7) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X7,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.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/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_empty__def) ).
fof(fact_Collect__def,axiom,
! [X7,X5] : hAPP(c_Set_OCollect(X5),X7) = X7,
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_Collect__def) ).
fof(fact_Collect__neg__eq,axiom,
! [X7,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X7)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X7)),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_Collect__neg__eq) ).
fof(help_c__COMBK__1,axiom,
! [X314,X313,X5,X62] : hAPP(hAPP(c_COMBK(X62,X5),X313),X314) = X313,
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',help_c__COMBK__1) ).
fof(fact_double__complement,axiom,
! [X24,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)),X24)) = X24,
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_double__complement) ).
fof(help_c__fNot__1,axiom,
! [X7] :
( ~ hBOOL(hAPP(c_fNot,X7))
| ~ hBOOL(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.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/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_UNIV__def) ).
fof(help_c__COMBB__1,axiom,
! [X32,X8,X7,X63,X5,X22] : hAPP(hAPP(hAPP(c_COMBB(X22,X5,X63),X7),X8),X32) = hAPP(X7,hAPP(X8,X32)),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.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/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_Compl__empty__eq) ).
fof(fact_converse__converse,axiom,
! [X79,X5,X22] : hAPP(c_Relation_Oconverse(X22,X5),hAPP(c_Relation_Oconverse(X5,X22),X79)) = X79,
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_converse__converse) ).
fof(fact_rel__simps_I42_J,axiom,
! [X132] : c_Int_OMin != c_Int_OBit0(X132),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_rel__simps_I42_J) ).
fof(fact_rel__simps_I44_J,axiom,
! [X99] :
( c_Int_OBit0(X99) = c_Int_OPls
<=> X99 = c_Int_OPls ),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_rel__simps_I44_J) ).
fof(fact_Bit0__def,axiom,
! [X129] : c_Int_OBit0(X129) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X129),X129),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_Bit0__def) ).
fof(fact_add__Bit1__Bit1,axiom,
! [X132,X129] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(X129)),c_Int_OBit1(X132)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X129),c_Int_Osucc(X132))),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_add__Bit1__Bit1) ).
fof(fact_diff__bin__simps_I2_J,axiom,
! [X129] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X129),c_Int_OMin) = c_Int_Osucc(X129),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_diff__bin__simps_I2_J) ).
fof(fact_rel__simps_I50_J,axiom,
! [X132,X129] : c_Int_OBit1(X129) != c_Int_OBit0(X132),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_rel__simps_I50_J) ).
fof(fact_rel__simps_I39_J,axiom,
! [X132] : c_Int_OPls != c_Int_OBit1(X132),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_rel__simps_I39_J) ).
fof(fact_rel__simps_I48_J,axiom,
! [X124,X99] :
( c_Int_OBit0(X99) = c_Int_OBit0(X124)
<=> X99 = X124 ),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_rel__simps_I48_J) ).
fof(fact_succ__Bit0,axiom,
! [X129] : c_Int_Osucc(c_Int_OBit0(X129)) = c_Int_OBit1(X129),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_succ__Bit0) ).
fof(fact_add__Bit0__Bit1,axiom,
! [X132,X129] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(X129)),c_Int_OBit1(X132)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X129),X132)),
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_add__Bit0__Bit1) ).
fof(fact_rel__simps_I37_J,axiom,
c_Int_OPls != c_Int_OMin,
file('/export/starexec/sandbox2/tmp/tmp.sC474As5yG/E---3.1_17936.p',fact_rel__simps_I37_J) ).
fof(c_0_22,plain,
! [X7,X5] :
( hAPP(c_Set_OCollect(X5),X7) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X7,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_23,plain,
! [X3262] : c_Orderings_Obot__class_Obot(tc_fun(X3262,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X3262),hAPP(c_COMBK(tc_HOL_Obool,X3262),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_24,plain,
! [X4021,X4022] : hAPP(c_Set_OCollect(X4022),X4021) = X4021,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_25,plain,
! [X3579,X3580] : hAPP(c_Set_OCollect(X3580),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3580),c_fNot),X3579)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3580,tc_HOL_Obool)),hAPP(c_Set_OCollect(X3580),X3579)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_26,plain,
! [X742,X743,X744,X745,X747] :
( ( hAPP(c_Set_OCollect(X743),X742) != c_Orderings_Obot__class_Obot(tc_fun(X743,tc_HOL_Obool))
| ~ hBOOL(hAPP(X742,X744)) )
& ( hBOOL(hAPP(X745,esk21_1(X745)))
| hAPP(c_Set_OCollect(X747),X745) = c_Orderings_Obot__class_Obot(tc_fun(X747,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_22])])])])]) ).
fof(c_0_27,plain,
! [X3258,X3259,X3260,X3261] : hAPP(hAPP(c_COMBK(X3261,X3260),X3259),X3258) = X3259,
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_23]) ).
cnf(c_0_29,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X4835,X4836] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4836,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4836,tc_HOL_Obool)),X4835)) = X4835,
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_25]) ).
fof(c_0_32,plain,
! [X7] :
( ~ hBOOL(hAPP(c_fNot,X7))
| ~ hBOOL(X7) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
cnf(c_0_33,plain,
( hBOOL(hAPP(X1,esk21_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_34,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
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_28,c_0_29]) ).
fof(c_0_36,plain,
! [X3000] : c_Orderings_Otop__class_Otop(tc_fun(X3000,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X3000),hAPP(c_COMBK(tc_HOL_Obool,X3000),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_37,plain,
! [X2894,X2895,X2896,X2897,X2898,X2899] : hAPP(hAPP(hAPP(c_COMBB(X2899,X2898,X2897),X2896),X2895),X2894) = hAPP(X2896,hAPP(X2895,X2894)),
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_30]) ).
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_31,c_0_29]),c_0_29]) ).
fof(c_0_40,plain,
! [X3622] :
( ~ hBOOL(hAPP(c_fNot,X3622))
| ~ hBOOL(X3622) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk21_1(X1))) ),
inference(rw,[status(thm)],[c_0_33,c_0_29]) ).
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_34,c_0_35]) ).
fof(c_0_43,plain,
! [X861] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X861,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X861,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X861,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_36]) ).
cnf(c_0_45,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_46,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_47,plain,
! [X12210,X12211,X12212] : hAPP(c_Relation_Oconverse(X12212,X12211),hAPP(c_Relation_Oconverse(X12211,X12212),X12210)) = X12210,
inference(variable_rename,[status(thm)],[fact_converse__converse]) ).
cnf(c_0_48,plain,
( ~ hBOOL(hAPP(c_fNot,X1))
| ~ hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( c_fFalse = X1
| hBOOL(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_41]),c_0_42]),c_0_34]) ).
cnf(c_0_50,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_51,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_29]) ).
cnf(c_0_52,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_45]) ).
cnf(c_0_53,plain,
hAPP(c_Relation_Oconverse(X1,X2),hAPP(c_Relation_Oconverse(X2,X1),X3)) = X3,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( hAPP(c_fNot,X1) = c_fFalse
| ~ hBOOL(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,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_50,c_0_39]) ).
cnf(c_0_56,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
fof(c_0_57,plain,
! [X7453] : c_Int_OMin != c_Int_OBit0(X7453),
inference(variable_rename,[status(thm)],[fact_rel__simps_I42_J]) ).
cnf(c_0_58,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
( hAPP(c_fNot,X1) = c_fFalse
| c_fFalse = X1 ),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_60,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_55]),c_0_56]),c_0_42]) ).
fof(c_0_61,plain,
! [X7278] :
( ( c_Int_OBit0(X7278) != c_Int_OPls
| X7278 = c_Int_OPls )
& ( X7278 != c_Int_OPls
| c_Int_OBit0(X7278) = c_Int_OPls ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I44_J])]) ).
fof(c_0_62,plain,
! [X2426] : c_Int_OBit0(X2426) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2426),X2426),
inference(variable_rename,[status(thm)],[fact_Bit0__def]) ).
fof(c_0_63,plain,
! [X14884,X14885] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(X14885)),c_Int_OBit1(X14884)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X14885),c_Int_Osucc(X14884))),
inference(variable_rename,[status(thm)],[fact_add__Bit1__Bit1]) ).
fof(c_0_64,plain,
! [X14886] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X14886),c_Int_OMin) = c_Int_Osucc(X14886),
inference(variable_rename,[status(thm)],[fact_diff__bin__simps_I2_J]) ).
fof(c_0_65,plain,
! [X7422,X7423] : c_Int_OBit1(X7423) != c_Int_OBit0(X7422),
inference(variable_rename,[status(thm)],[fact_rel__simps_I50_J]) ).
cnf(c_0_66,plain,
c_Int_OMin != c_Int_OBit0(X1),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_67,plain,
( c_fFalse = X1
| c_fTrue = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
fof(c_0_68,plain,
! [X7276] : c_Int_OPls != c_Int_OBit1(X7276),
inference(variable_rename,[status(thm)],[fact_rel__simps_I39_J]) ).
fof(c_0_69,plain,
! [X7436,X7437] :
( ( c_Int_OBit0(X7437) != c_Int_OBit0(X7436)
| X7437 = X7436 )
& ( X7437 != X7436
| c_Int_OBit0(X7437) = c_Int_OBit0(X7436) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_rel__simps_I48_J])]) ).
cnf(c_0_70,plain,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,plain,
c_Int_OBit0(X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(X1)),c_Int_OBit1(X2)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),c_Int_Osucc(X2))),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,plain,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Int_OMin) = c_Int_Osucc(X1),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_74,plain,
! [X14882] : c_Int_Osucc(c_Int_OBit0(X14882)) = c_Int_OBit1(X14882),
inference(variable_rename,[status(thm)],[fact_succ__Bit0]) ).
cnf(c_0_75,plain,
c_Int_OBit1(X1) != c_Int_OBit0(X2),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,plain,
( c_Int_OBit0(X1) = c_fFalse
| c_fTrue != c_Int_OMin ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,plain,
c_Int_OPls != c_Int_OBit1(X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,plain,
( X1 = X2
| c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
( X1 = c_Int_OPls
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1) != c_Int_OPls ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(X1)),c_Int_OBit1(X2)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X2),c_Int_OMin))),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
c_Int_Osucc(c_Int_OBit0(X1)) = c_Int_OBit1(X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_82,plain,
! [X2429,X2430] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(X2430)),c_Int_OBit1(X2429)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X2430),X2429)),
inference(variable_rename,[status(thm)],[fact_add__Bit0__Bit1]) ).
cnf(c_0_83,plain,
( c_Int_OBit1(X1) != c_fFalse
| c_fTrue != c_Int_OMin ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,plain,
( c_Int_OBit1(X1) = c_fFalse
| c_fTrue != c_Int_OPls ),
inference(spm,[status(thm)],[c_0_77,c_0_67]) ).
cnf(c_0_85,plain,
( X1 = X2
| c_fTrue != c_Int_OMin ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_76]),c_0_76]) ).
cnf(c_0_86,plain,
c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),X1),c_Int_OMin))) != c_Int_OPls,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_77]) ).
cnf(c_0_87,plain,
hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(X1)),c_Int_OMin) = c_Int_OBit1(X1),
inference(rw,[status(thm)],[c_0_81,c_0_73]) ).
cnf(c_0_88,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(X1)),c_Int_OBit1(X2)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X2)),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,plain,
c_fTrue != c_Int_OMin,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_90,plain,
c_Int_OBit0(c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X1),X1))) != c_Int_OPls,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_91,plain,
c_fFalse = c_Int_OMin,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_67])]) ).
cnf(c_0_92,plain,
c_Int_OBit0(c_Int_OBit1(c_Int_OBit0(X1))) != c_Int_OPls,
inference(spm,[status(thm)],[c_0_90,c_0_71]) ).
cnf(c_0_93,plain,
( c_fTrue = X1
| c_Int_OMin = X1 ),
inference(rw,[status(thm)],[c_0_67,c_0_91]) ).
cnf(c_0_94,plain,
c_fTrue != c_Int_OPls,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_66]) ).
cnf(c_0_95,plain,
c_Int_OPls != c_Int_OMin,
inference(split_conjunct,[status(thm)],[fact_rel__simps_I37_J]) ).
cnf(c_0_96,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_93])]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW395+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 22:31:39 EDT 2023
% 0.11/0.32 % CPUTime :
% 1.34/1.54 Running first-order model finding
% 1.34/1.54 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.sC474As5yG/E---3.1_17936.p
% 30.14/6.19 # Version: 3.1pre001
% 30.14/6.19 # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.14/6.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.14/6.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.14/6.19 # Starting new_bool_3 with 300s (1) cores
% 30.14/6.19 # Starting new_bool_1 with 300s (1) cores
% 30.14/6.19 # Starting sh5l with 300s (1) cores
% 30.14/6.19 # sh5l with pid 18050 completed with status 0
% 30.14/6.19 # Result found by sh5l
% 30.14/6.19 # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.14/6.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.14/6.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.14/6.19 # Starting new_bool_3 with 300s (1) cores
% 30.14/6.19 # Starting new_bool_1 with 300s (1) cores
% 30.14/6.19 # Starting sh5l with 300s (1) cores
% 30.14/6.19 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.14/6.19 # Search class: FGHSM-SMLM33-DFFFFFNN
% 30.14/6.19 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 30.14/6.19 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 30.14/6.19 # SAT001_MinMin_p005000_rr with pid 18053 completed with status 0
% 30.14/6.19 # Result found by SAT001_MinMin_p005000_rr
% 30.14/6.19 # Preprocessing class: FMLMSMSMSSSNFFN.
% 30.14/6.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 30.14/6.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 30.14/6.19 # Starting new_bool_3 with 300s (1) cores
% 30.14/6.19 # Starting new_bool_1 with 300s (1) cores
% 30.14/6.19 # Starting sh5l with 300s (1) cores
% 30.14/6.19 # SinE strategy is gf500_gu_R04_F100_L20000
% 30.14/6.19 # Search class: FGHSM-SMLM33-DFFFFFNN
% 30.14/6.19 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 30.14/6.19 # Starting SAT001_MinMin_p005000_rr with 163s (1) cores
% 30.14/6.19 # Preprocessing time : 0.157 s
% 30.14/6.19 # Presaturation interreduction done
% 30.14/6.19
% 30.14/6.19 # Proof found!
% 30.14/6.19 # SZS status ContradictoryAxioms
% 30.14/6.19 # SZS output start CNFRefutation
% See solution above
% 30.14/6.19 # Parsed axioms : 5242
% 30.14/6.19 # Removed by relevancy pruning/SinE : 648
% 30.14/6.19 # Initial clauses : 6628
% 30.14/6.19 # Removed in clause preprocessing : 167
% 30.14/6.19 # Initial clauses in saturation : 6461
% 30.14/6.19 # Processed clauses : 11140
% 30.14/6.19 # ...of these trivial : 250
% 30.14/6.19 # ...subsumed : 2887
% 30.14/6.19 # ...remaining for further processing : 8003
% 30.14/6.19 # Other redundant clauses eliminated : 649
% 30.14/6.19 # Clauses deleted for lack of memory : 0
% 30.14/6.19 # Backward-subsumed : 120
% 30.14/6.19 # Backward-rewritten : 363
% 30.14/6.19 # Generated clauses : 38294
% 30.14/6.19 # ...of the previous two non-redundant : 36039
% 30.14/6.19 # ...aggressively subsumed : 0
% 30.14/6.19 # Contextual simplify-reflections : 34
% 30.14/6.19 # Paramodulations : 37654
% 30.14/6.19 # Factorizations : 14
% 30.14/6.19 # NegExts : 0
% 30.14/6.19 # Equation resolutions : 685
% 30.14/6.19 # Total rewrite steps : 13736
% 30.14/6.19 # Propositional unsat checks : 2
% 30.14/6.19 # Propositional check models : 2
% 30.14/6.19 # Propositional check unsatisfiable : 0
% 30.14/6.19 # Propositional clauses : 0
% 30.14/6.19 # Propositional clauses after purity: 0
% 30.14/6.19 # Propositional unsat core size : 0
% 30.14/6.19 # Propositional preprocessing time : 0.000
% 30.14/6.19 # Propositional encoding time : 0.072
% 30.14/6.19 # Propositional solver time : 0.022
% 30.14/6.19 # Success case prop preproc time : 0.000
% 30.14/6.19 # Success case prop encoding time : 0.000
% 30.14/6.19 # Success case prop solver time : 0.000
% 30.14/6.19 # Current number of processed clauses : 1879
% 30.14/6.19 # Positive orientable unit clauses : 854
% 30.14/6.19 # Positive unorientable unit clauses: 3
% 30.14/6.19 # Negative unit clauses : 220
% 30.14/6.19 # Non-unit-clauses : 802
% 30.14/6.19 # Current number of unprocessed clauses: 31459
% 30.14/6.19 # ...number of literals in the above : 69408
% 30.14/6.19 # Current number of archived formulas : 0
% 30.14/6.19 # Current number of archived clauses : 5695
% 30.14/6.19 # Clause-clause subsumption calls (NU) : 2342840
% 30.14/6.19 # Rec. Clause-clause subsumption calls : 1203854
% 30.14/6.19 # Non-unit clause-clause subsumptions : 2374
% 30.14/6.19 # Unit Clause-clause subsumption calls : 34231
% 30.14/6.19 # Rewrite failures with RHS unbound : 276
% 30.14/6.19 # BW rewrite match attempts : 28077
% 30.14/6.19 # BW rewrite match successes : 537
% 30.14/6.19 # Condensation attempts : 0
% 30.14/6.19 # Condensation successes : 0
% 30.14/6.19 # Termbank termtop insertions : 1510745
% 30.14/6.19
% 30.14/6.19 # -------------------------------------------------
% 30.14/6.19 # User time : 4.161 s
% 30.14/6.19 # System time : 0.134 s
% 30.14/6.19 # Total time : 4.295 s
% 30.14/6.19 # Maximum resident set size: 37608 pages
% 30.14/6.19
% 30.14/6.19 # -------------------------------------------------
% 30.14/6.19 # User time : 4.403 s
% 30.14/6.19 # System time : 0.146 s
% 30.14/6.19 # Total time : 4.549 s
% 30.14/6.19 # Maximum resident set size: 9524 pages
% 30.14/6.19 % E---3.1 exiting
%------------------------------------------------------------------------------