%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW372+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:10:24 PM UTC 2026
% Result : ContradictoryAxioms 221.52s 33.59s
% Output : CNFRefutation 221.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 140 ( 105 unt; 0 def)
% Number of atoms : 180 ( 111 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 60 ~; 30 |; 2 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-3 aty)
% Number of variables : 255 ( 36 sgn 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__neg__eq,axiom,
! [X19,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X19)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).
fof(fact_Collect__def,axiom,
! [X19,X5] : hAPP(c_Set_OCollect(X5),X19) = X19,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_Collect__mem__eq,axiom,
! [X10,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X10)) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__mem__eq) ).
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/benchmark/theBenchmark.p',fact_Compl__empty__eq) ).
fof(help_c__COMBC__1,axiom,
! [X49,X18,X19,X5,X82,X20] : hAPP(hAPP(hAPP(c_COMBC(X20,X82,X5),X19),X18),X49) = hAPP(hAPP(X19,X49),X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(help_c__COMBB__1,axiom,
! [X49,X18,X19,X82,X5,X20] : hAPP(hAPP(hAPP(c_COMBB(X20,X5,X82),X19),X18),X49) = hAPP(X19,hAPP(X18,X49)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(fact_insert__absorb,axiom,
! [X10,X6,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X6),X10))
=> hAPP(hAPP(c_Set_Oinsert(X5),X6),X10) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__absorb) ).
fof(fact_top1I,axiom,
! [X17,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_top1I) ).
fof(fact_Collect__empty__eq,axiom,
! [X19,X5] :
( hAPP(c_Set_OCollect(X5),X19) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X19,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).
fof(fact_empty__not__insert,axiom,
! [X10,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__not__insert) ).
fof(help_c__fNot__1,axiom,
! [X19] :
( ~ hBOOL(X19)
| ~ hBOOL(hAPP(c_fNot,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(help_c__COMBK__1,axiom,
! [X328,X27,X20,X5] : hAPP(hAPP(c_COMBK(X5,X20),X27),X328) = X27,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact_vimage__Collect__eq,axiom,
! [X19,X2,X20,X5] : hAPP(c_Set_Ovimage(X5,X20,X2),hAPP(c_Set_OCollect(X20),X19)) = hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(X20,tc_HOL_Obool,X5),X19),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_vimage__Collect__eq) ).
fof(fact_ComplE,axiom,
! [X10,X13,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X13),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X10)))
=> ~ hBOOL(hAPP(hAPP(c_member(X5),X13),X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ComplE) ).
fof(fact_number__of__is__id,axiom,
! [X110] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X110) = X110,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__is__id) ).
fof(fact_vimage__id,axiom,
! [X10,X5] : hAPP(c_Set_Ovimage(X5,X5,c_Fun_Oid(X5)),X10) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_vimage__id) ).
fof(fact_mem__def,axiom,
! [X10,X17,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X17),X10))
<=> hBOOL(hAPP(X10,X17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(fact_not__neg__0,axiom,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__neg__0) ).
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/sandbox/benchmark/theBenchmark.p',fact_neg__number__of__Min) ).
fof(fact_double__complement,axiom,
! [X10,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)),X10)) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__complement) ).
fof(fact_WT_Oequations_I1_J,axiom,
hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT_Oequations_I1_J) ).
fof(fact_rev__rev__ident,axiom,
! [X259,X5] : hAPP(c_List_Orev(X5),hAPP(c_List_Orev(X5),X259)) = X259,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rev__rev__ident) ).
fof(fact_Pls__def,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Pls__def) ).
fof(fact_Zero__not__Suc,axiom,
! [X109] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X109),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).
fof(fact_add__eq__self__zero,axiom,
! [X108,X109] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),X108) = X109
=> X108 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',fact_transfer__nat__int__numerals_I1_J) ).
fof(fact_add__Suc__right,axiom,
! [X108,X109] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),hAPP(c_Nat_OSuc,X108)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X109),X108)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X108] : X108 != hAPP(c_Nat_OSuc,X108),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(fact_add_Ocomm__neutral,axiom,
! [X66,X5] :
( class_Groups_Ocomm__monoid__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X66),c_Groups_Ozero__class_Ozero(X5)) = X66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add_Ocomm__neutral) ).
fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ocomm__monoid__add) ).
fof(c_0_30,plain,
! [X1825,X1826] : hAPP(c_Set_OCollect(X1826),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1826),c_fNot),X1825)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1826,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1826),X1825)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_31,plain,
! [X3634,X3635] : hAPP(c_Set_OCollect(X3635),X3634) = X3634,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_32,plain,
! [X3623,X3624] : hAPP(c_Set_OCollect(X3624),hAPP(hAPP(c_COMBC(X3624,tc_fun(X3624,tc_HOL_Obool),tc_HOL_Obool),c_member(X3624)),X3623)) = X3623,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_33,plain,
! [X3065] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3065,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X3065,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X3065,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_34,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_30]) ).
cnf(c_0_35,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X1123,X1124,X1125,X1126,X1127,X1128] : hAPP(hAPP(hAPP(c_COMBC(X1128,X1127,X1126),X1125),X1124),X1123) = hAPP(hAPP(X1125,X1123),X1124),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_37,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_38,plain,
! [X1092,X1093,X1094,X1095,X1096,X1097] : hAPP(hAPP(hAPP(c_COMBB(X1097,X1096,X1095),X1094),X1093),X1092) = hAPP(X1094,hAPP(X1093,X1092)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_39,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_33]) ).
cnf(c_0_40,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_34,c_0_35]),c_0_35]) ).
fof(c_0_41,plain,
! [X640,X641,X642] :
( hAPP(hAPP(c_Set_Oinsert(X642),X641),X640) = X640
| ~ hBOOL(hAPP(hAPP(c_member(X642),X641),X640)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])])]) ).
cnf(c_0_42,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_HOL_Obool),tc_HOL_Obool),c_member(X1)),X2) = X2,
inference(rw,[status(thm)],[c_0_37,c_0_35]) ).
fof(c_0_44,plain,
! [X3075,X3076] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3076,tc_HOL_Obool)),X3075)),
inference(variable_rename,[status(thm)],[fact_top1I]) ).
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_38]) ).
cnf(c_0_46,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_39,c_0_40]) ).
fof(c_0_47,plain,
! [X19,X5] :
( hAPP(c_Set_OCollect(X5),X19) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X19,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_48,plain,
! [X10,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X10),
inference(fof_simplification,[status(thm)],[fact_empty__not__insert]) ).
cnf(c_0_49,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(c_fNot,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_53,plain,
! [X19] :
( ~ hBOOL(X19)
| ~ hBOOL(hAPP(c_fNot,X19)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
fof(c_0_54,plain,
! [X3611,X3612,X3613,X3614,X3616] :
( ( hAPP(c_Set_OCollect(X3616),X3614) = c_Orderings_Obot__class_Obot(tc_fun(X3616,tc_HOL_Obool))
| hBOOL(hAPP(X3614,esk83_1(X3614))) )
& ( ~ hBOOL(hAPP(X3611,X3613))
| hAPP(c_Set_OCollect(X3612),X3611) != c_Orderings_Obot__class_Obot(tc_fun(X3612,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_47])])])])])]) ).
fof(c_0_55,plain,
! [X485,X486,X487] : c_Orderings_Obot__class_Obot(tc_fun(X487,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X487),X486),X485),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
cnf(c_0_56,plain,
( ~ hBOOL(hAPP(X3,X2))
| hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3 ),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
hBOOL(hAPP(c_fNot,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_58,plain,
! [X1846] :
( ~ hBOOL(X1846)
| ~ hBOOL(hAPP(c_fNot,X1846)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_53])]) ).
cnf(c_0_59,plain,
( hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk83_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
hAPP(hAPP(c_Set_Oinsert(X1),hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),X3)),c_fNot) = c_fNot,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_62,plain,
! [X1314,X1315,X1316,X1317] : hAPP(hAPP(c_COMBK(X1317,X1316),X1315),X1314) = X1315,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
fof(c_0_63,plain,
! [X6995,X6996,X6997,X6998] : hAPP(c_Set_Ovimage(X6998,X6997,X6996),hAPP(c_Set_OCollect(X6997),X6995)) = hAPP(c_Set_OCollect(X6998),hAPP(hAPP(c_COMBB(X6997,tc_HOL_Obool,X6998),X6995),X6996)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_64,plain,
! [X10,X13,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X13),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X10)))
=> ~ hBOOL(hAPP(hAPP(c_member(X5),X13),X10)) ),
inference(fof_simplification,[status(thm)],[fact_ComplE]) ).
cnf(c_0_65,plain,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,plain,
( hBOOL(hAPP(X1,esk83_1(X1)))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(rw,[status(thm)],[c_0_59,c_0_35]) ).
cnf(c_0_67,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_fNot,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_69,plain,
! [X4481] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X4481) = X4481,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
fof(c_0_70,plain,
! [X7009,X7010] : hAPP(c_Set_Ovimage(X7010,X7010,c_Fun_Oid(X7010)),X7009) = X7009,
inference(variable_rename,[status(thm)],[fact_vimage__id]) ).
cnf(c_0_71,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_63]) ).
fof(c_0_72,plain,
! [X4634,X4635,X4636] :
( ~ hBOOL(hAPP(hAPP(c_member(X4636),X4635),X4634))
| ~ hBOOL(hAPP(hAPP(c_member(X4636),X4635),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4636,tc_HOL_Obool)),X4634))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_73,plain,
! [X896,X897,X898] :
( ( hBOOL(hAPP(hAPP(c_member(X898),X897),X896))
| ~ hBOOL(hAPP(X896,X897)) )
& ( hBOOL(hAPP(X896,X897))
| ~ hBOOL(hAPP(hAPP(c_member(X898),X897),X896)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
fof(c_0_74,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(fof_simplification,[status(thm)],[fact_not__neg__0]) ).
cnf(c_0_75,plain,
~ hBOOL(esk83_1(c_fNot)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_76,plain,
( hBOOL(X3)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_68]) ).
cnf(c_0_77,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_78,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,plain,
hAPP(c_Set_Ovimage(X1,X1,c_Fun_Oid(X1)),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_80,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_71,c_0_35]),c_0_35]) ).
fof(c_0_81,plain,
! [X4632,X4633] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4633,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X4633,tc_HOL_Obool)),X4632)) = X4632,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_82,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_84,plain,
hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)),
inference(split_conjunct,[status(thm)],[fact_WT_Oequations_I1_J]) ).
fof(c_0_85,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(fof_nnf,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = esk83_1(c_fNot),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_88,plain,
! [X6666,X6667] : hAPP(c_List_Orev(X6667),hAPP(c_List_Orev(X6667),X6666)) = X6666,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
cnf(c_0_89,plain,
hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X1),X2),c_Fun_Oid(X1)) = X2,
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,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_81]) ).
cnf(c_0_91,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X3))) ),
inference(rw,[status(thm)],[c_0_82,c_0_40]) ).
cnf(c_0_92,plain,
hBOOL(hAPP(hAPP(c_member(X1),c_Com_Ocom_OSKIP),c_Com_OWT)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_94,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
cnf(c_0_95,plain,
( hBOOL(X1)
| esk83_1(c_fNot) = X1 ),
inference(spm,[status(thm)],[c_0_76,c_0_86]) ).
fof(c_0_96,plain,
! [X109] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X109),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_97,plain,
hBOOL(hAPP(hAPP(c_member(X1),c_Int_OMin),c_Nat__Numeral_Oneg)),
inference(spm,[status(thm)],[c_0_83,c_0_87]) ).
cnf(c_0_98,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_99,plain,
hAPP(X1,hAPP(c_Fun_Oid(X2),X3)) = hAPP(X1,X3),
inference(spm,[status(thm)],[c_0_45,c_0_89]) ).
cnf(c_0_100,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_90,c_0_40]),c_0_40]) ).
cnf(c_0_101,plain,
~ hBOOL(hAPP(hAPP(c_member(X1),c_Com_Ocom_OSKIP),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Com_OWT))),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,plain,
~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)),
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,plain,
( hBOOL(X2)
| hBOOL(X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_95,c_0_95]) ).
fof(c_0_104,plain,
! [X4071,X4072] :
( X4071 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4072),X4071) != X4072 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])]) ).
cnf(c_0_105,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]) ).
fof(c_0_106,plain,
! [X3972] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X3972),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_96])]) ).
cnf(c_0_107,plain,
~ hBOOL(hAPP(hAPP(c_member(X1),c_Int_OMin),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Nat__Numeral_Oneg))),
inference(spm,[status(thm)],[c_0_91,c_0_97]) ).
cnf(c_0_108,plain,
hAPP(c_Fun_Oid(X1),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_98]) ).
cnf(c_0_109,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_100,c_0_89]) ).
cnf(c_0_110,plain,
~ hBOOL(hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_50]),c_0_45]) ).
cnf(c_0_111,plain,
( hBOOL(X1)
| X1 = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_112,plain,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X1
| X2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_113,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_105,c_0_94]) ).
fof(c_0_114,plain,
! [X3947,X3948] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3948),hAPP(c_Nat_OSuc,X3947)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3948),X3947)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_115,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_116,plain,
~ hBOOL(hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_50]),c_0_45]) ).
cnf(c_0_117,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_45]) ).
cnf(c_0_118,plain,
hAPP(c_fNot,hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,plain,
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1) != X2
| X1 = hAPP(c_Int_Onat,c_Int_OPls) ),
inference(rw,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,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_114]) ).
cnf(c_0_121,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_115,c_0_113]) ).
fof(c_0_122,plain,
! [X108] : X108 != hAPP(c_Nat_OSuc,X108),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_123,plain,
( ~ hBOOL(X1)
| hAPP(c_fNot,X1) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) ),
inference(spm,[status(thm)],[c_0_65,c_0_111]) ).
cnf(c_0_124,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls),
inference(spm,[status(thm)],[c_0_116,c_0_111]) ).
cnf(c_0_125,plain,
hAPP(c_fNot,hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)) = hAPP(c_Com_OWT,c_Com_Ocom_OSKIP),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_126,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_119,c_0_120]),c_0_121]) ).
fof(c_0_127,plain,
! [X4298,X4299] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4299),X4298),c_Groups_Ozero__class_Ozero(X4299)) = X4298
| ~ class_Groups_Ocomm__monoid__add(X4299) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add_Ocomm__neutral])])]) ).
fof(c_0_128,plain,
! [X3919] : X3919 != hAPP(c_Nat_OSuc,X3919),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_122])]) ).
cnf(c_0_129,plain,
( X1 = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)
| hAPP(c_fNot,X1) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) ),
inference(spm,[status(thm)],[c_0_123,c_0_111]) ).
cnf(c_0_130,plain,
hAPP(c_Com_OWT,c_Com_Ocom_OSKIP) = hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_124]),c_0_125]) ).
cnf(c_0_131,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_126,c_0_120]) ).
cnf(c_0_132,plain,
( ~ class_Groups_Ocomm__monoid__add(X1)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Ozero__class_Ozero(X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_133,plain,
class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocomm__monoid__add]) ).
cnf(c_0_134,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_135,plain,
( hAPP(c_Nat__Numeral_Oneg,c_Int_OMin) = X1
| X1 = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_129]),c_0_125]),c_0_130]) ).
cnf(c_0_136,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133])]) ).
cnf(c_0_137,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat__Numeral_Oneg,c_Int_OMin)) = hAPP(c_Nat__Numeral_Oneg,c_Int_OPls),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135])]) ).
cnf(c_0_138,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat__Numeral_Oneg,c_Int_OPls)) != hAPP(c_Nat__Numeral_Oneg,c_Int_OMin),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_139,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_135]),c_0_134]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW372+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 % Computer : n011.cluster.edu
% 0.11/0.42 % Model : x86_64 x86_64
% 0.11/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.42 % Memory : 8046.5625MB
% 0.11/0.42 % OS : Linux 6.8.0-71-generic
% 0.11/0.42 % CPULimit : 300
% 0.11/0.42 % WCLimit : 300
% 0.11/0.42 % DateTime : Mon Sep 21 09:49:40 UTC 2026
% 0.11/0.42 % CPUTime :
% 0.11/0.42 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 221.52/33.59 % Version: 3.5.1
% 221.52/33.59 % Preprocessing class: FMLMSLSMSSSNFFN.
% 221.52/33.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 221.52/33.59 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 221.52/33.59 % Starting new_bool_3 with 300s (1) cores
% 221.52/33.59 % Starting new_bool_1 with 300s (1) cores
% 221.52/33.59 % Starting sh5l with 300s (1) cores
% 221.52/33.59 % new_bool_1 with pid 1600823 completed with status 0
% 221.52/33.59 % Result found by new_bool_1
% 221.52/33.59 % Preprocessing class: FMLMSLSMSSSNFFN.
% 221.52/33.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 221.52/33.59 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 221.52/33.59 % Starting new_bool_3 with 300s (1) cores
% 221.52/33.59 % Starting new_bool_1 with 300s (1) cores
% 221.52/33.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 221.52/33.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 221.52/33.59 % Search class: FGHSM-SMLM33-DFFFFFNN
% 221.52/33.59 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 221.52/33.59 % Starting SubtermCWHack with 28s (1) cores
% 221.52/33.59 % SubtermCWHack with pid 1600829 completed with status 8
% 221.52/33.59 % Starting new_bool_1 with 31s (1) cores
% 221.52/33.59 % new_bool_1 with pid 1601001 completed with status 0
% 221.52/33.59 % Result found by new_bool_1
% 221.52/33.59 % Preprocessing class: FMLMSLSMSSSNFFN.
% 221.52/33.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 221.52/33.59 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 221.52/33.59 % Starting new_bool_3 with 300s (1) cores
% 221.52/33.59 % Starting new_bool_1 with 300s (1) cores
% 221.52/33.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 221.52/33.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 221.52/33.59 % Search class: FGHSM-SMLM33-DFFFFFNN
% 221.52/33.59 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 221.52/33.59 % Starting SubtermCWHack with 28s (1) cores
% 221.52/33.59 % SubtermCWHack with pid 1600829 completed with status 8
% 221.52/33.59 % Starting new_bool_1 with 31s (1) cores
% 221.52/33.59 % Preprocessing time : 0.082 s
% 221.52/33.59 % Presaturation interreduction done
% 221.52/33.59
% 221.52/33.59 % Proof found!
% 221.52/33.59 % SZS status ContradictoryAxioms
% 221.52/33.59 % SZS output start CNFRefutation
% See solution above
% 221.52/33.59 % Parsed axioms : 5251
% 221.52/33.59 % Removed by relevancy pruning/SinE : 3168
% 221.52/33.59 % Initial clauses : 3038
% 221.52/33.59 % Removed in clause preprocessing : 90
% 221.52/33.59 % Initial clauses in saturation : 2948
% 221.52/33.59 % Processed clauses : 9293
% 221.52/33.59 % ...of these trivial : 287
% 221.52/33.59 % ...subsumed : 4132
% 221.52/33.59 % ...remaining for further processing : 4874
% 221.52/33.59 % Other redundant clauses eliminated : 2291
% 221.52/33.59 % Clauses deleted for lack of memory : 0
% 221.52/33.59 % Backward-subsumed : 59
% 221.52/33.59 % Backward-rewritten : 438
% 221.52/33.59 % Generated clauses : 99680
% 221.52/33.59 % ...of the previous two non-redundant : 91277
% 221.52/33.59 % ...aggressively subsumed : 0
% 221.52/33.59 % Contextual simplify-reflections : 17
% 221.52/33.59 % Paramodulations : 97378
% 221.52/33.59 % Factorizations : 6
% 221.52/33.59 % NegExts : 0
% 221.52/33.59 % Equation resolutions : 2331
% 221.52/33.59 % Disequality decompositions : 0
% 221.52/33.59 % Total rewrite steps : 24358
% 221.52/33.59 % ...of those cached : 18058
% 221.52/33.59 % Propositional unsat checks : 0
% 221.52/33.59 % Propositional check models : 0
% 221.52/33.59 % Propositional check unsatisfiable : 0
% 221.52/33.59 % Propositional clauses : 0
% 221.52/33.59 % Propositional clauses after purity: 0
% 221.52/33.59 % Propositional unsat core size : 0
% 221.52/33.59 % Propositional preprocessing time : 0.000
% 221.52/33.59 % Propositional encoding time : 0.000
% 221.52/33.59 % Propositional solver time : 0.000
% 221.52/33.59 % Success case prop preproc time : 0.000
% 221.52/33.59 % Success case prop encoding time : 0.000
% 221.52/33.59 % Success case prop solver time : 0.000
% 221.52/33.59 % Current number of processed clauses : 1973
% 221.52/33.59 % Positive orientable unit clauses : 735
% 221.52/33.59 % Positive unorientable unit clauses: 57
% 221.52/33.59 % Negative unit clauses : 351
% 221.52/33.59 % Non-unit-clauses : 830
% 221.52/33.59 % Current number of unprocessed clauses: 85227
% 221.52/33.59 % ...number of literals in the above : 182738
% 221.52/33.59 % Current number of archived formulas : 0
% 221.52/33.59 % Current number of archived clauses : 2670
% 221.52/33.59 % Clause-clause subsumption calls (NU) : 506880
% 221.52/33.59 % Rec. Clause-clause subsumption calls : 298589
% 221.52/33.59 % Non-unit clause-clause subsumptions : 1929
% 221.52/33.59 % Unit Clause-clause subsumption calls : 36968
% 221.52/33.59 % Rewrite failures with RHS unbound : 281
% 221.52/33.59 % BW rewrite match attempts : 14334
% 221.52/33.59 % BW rewrite match successes : 817
% 221.52/33.59 % Condensation attempts : 0
% 221.52/33.59 % Condensation successes : 0
% 221.52/33.59 % Termbank termtop insertions : 2562260
% 221.52/33.59 % Search garbage collected termcells : 68883
% 221.52/33.59
% 221.52/33.59 % -------------------------------------------------
% 221.52/33.59 % User time : 30.985 s
% 221.52/33.59 % System time : 1.084 s
% 221.52/33.59 % Total time : 32.069 s
% 221.52/33.59 % Maximum resident set size: 20416 pages
% 221.52/33.59
% 221.52/33.59 % -------------------------------------------------
% 221.52/33.59 % User time : 31.252 s
% 221.52/33.59 % System time : 1.104 s
% 221.52/33.59 % Total time : 32.357 s
% 221.52/33.59 % Maximum resident set size: 12288 pages
% 221.52/33.59 % E exiting
%------------------------------------------------------------------------------