%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWW356+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 : n017.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 03:10:22 PM UTC 2026
% Result : ContradictoryAxioms 204.41s 32.24s
% Output : CNFRefutation 204.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 141 ( 99 unt; 0 def)
% Number of atoms : 191 ( 129 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 97 ( 47 ~; 35 |; 4 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 270 ( 36 sgn 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__mem__eq,axiom,
! [X40,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X40)) = X40,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__mem__eq) ).
fof(fact_Collect__def,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),X6) = X6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_all__not__in__conv,axiom,
! [X40,X5] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X40))
<=> X40 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_all__not__in__conv) ).
fof(help_c__COMBC__1,axiom,
! [X45,X21,X6,X5,X73,X25] : hAPP(hAPP(hAPP(c_COMBC(X25,X73,X5),X6),X21),X45) = hAPP(hAPP(X6,X45),X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(fact_empty__def,axiom,
! [X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__def) ).
fof(help_c__fconj__2,axiom,
! [X21,X6] :
( hBOOL(X6)
| ~ hBOOL(hAPP(hAPP(c_fconj,X6),X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fconj__2) ).
fof(fact_bot__fun__def,axiom,
! [X24,X25,X5] :
( class_Orderings_Obot(X5)
=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(X25,X5)),X24) = c_Orderings_Obot__class_Obot(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_bot__fun__def) ).
fof(arity_fun__Orderings_Obot,axiom,
! [X326,X327] :
( class_Orderings_Obot(X327)
=> class_Orderings_Obot(tc_fun(X326,X327)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_fun__Orderings_Obot) ).
fof(help_c__COMBK__1,axiom,
! [X328,X32,X25,X5] : hAPP(hAPP(c_COMBK(X5,X25),X32),X328) = X32,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact_Collect__neg__eq,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X6)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).
fof(fact_bot2E,axiom,
! [X66,X24,X25,X5] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_fun(X25,tc_HOL_Obool))),X24),X66)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_bot2E) ).
fof(fact_UNIV__def,axiom,
! [X5] : c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X5),hAPP(c_COMBK(tc_HOL_Obool,X5),c_fTrue)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_UNIV__def) ).
fof(fact_compl__bot__eq,axiom,
! [X5] :
( class_Lattices_Oboolean__algebra(X5)
=> hAPP(c_Groups_Ouminus__class_Ouminus(X5),c_Orderings_Obot__class_Obot(X5)) = c_Orderings_Otop__class_Otop(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_compl__bot__eq) ).
fof(fact_vimage__const,axiom,
! [X25,X40,X23,X5] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X5),X23),X40))
=> hAPP(c_Set_Ovimage(X25,X5,hAPP(c_COMBK(X5,X25),X23)),X40) = c_Orderings_Obot__class_Obot(tc_fun(X25,tc_HOL_Obool)) )
& ( hBOOL(hAPP(hAPP(c_member(X5),X23),X40))
=> hAPP(c_Set_Ovimage(X25,X5,hAPP(c_COMBK(X5,X25),X23)),X40) = c_Orderings_Otop__class_Otop(tc_fun(X25,tc_HOL_Obool)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_vimage__const) ).
fof(fact_vimage__Collect__eq,axiom,
! [X6,X2,X25,X5] : hAPP(c_Set_Ovimage(X5,X25,X2),hAPP(c_Set_OCollect(X25),X6)) = hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(X25,tc_HOL_Obool,X5),X6),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_vimage__Collect__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(arity_HOL__Obool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_HOL_Obool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Obot) ).
fof(fact_double__complement,axiom,
! [X40,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)),X40)) = X40,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__complement) ).
fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_HOL_Obool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Lattices_Oboolean__algebra) ).
fof(fact_Compl__UNIV__eq,axiom,
! [X5] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Compl__UNIV__eq) ).
fof(help_c__COMBB__1,axiom,
! [X45,X21,X6,X73,X5,X25] : hAPP(hAPP(hAPP(c_COMBB(X25,X5,X73),X6),X21),X45) = hAPP(X6,hAPP(X21,X45)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(fact_top__apply,axiom,
! [X24,X25,X5] :
( class_Orderings_Otop(X5)
=> hAPP(c_Orderings_Otop__class_Otop(tc_fun(X25,X5)),X24) = c_Orderings_Otop__class_Otop(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_top__apply) ).
fof(arity_HOL__Obool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_HOL_Obool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Otop) ).
fof(fact_Zero__not__Suc,axiom,
! [X114] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X114),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).
fof(fact_rev__rev__ident,axiom,
! [X250,X5] : hAPP(c_List_Orev(X5),hAPP(c_List_Orev(X5),X250)) = X250,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rev__rev__ident) ).
fof(help_c__fNot__2,axiom,
! [X6] :
( hBOOL(hAPP(c_fNot,X6))
| ~ ~ hBOOL(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fNot__2) ).
fof(fact_add__eq__self__zero,axiom,
! [X113,X114] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X114),X113) = X114
=> X113 = 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_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_add__Suc__right,axiom,
! [X113,X114] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X114),hAPP(c_Nat_OSuc,X113)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X114),X113)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X114] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X114),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X114,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(fact_n__not__Suc__n,axiom,
! [X113] : X113 != hAPP(c_Nat_OSuc,X113),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(c_0_32,plain,
! [X8325,X8326] : hAPP(c_Set_OCollect(X8326),hAPP(hAPP(c_COMBC(X8326,tc_fun(X8326,tc_HOL_Obool),tc_HOL_Obool),c_member(X8326)),X8325)) = X8325,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_33,plain,
! [X8302,X8303] : hAPP(c_Set_OCollect(X8303),X8302) = X8302,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_34,plain,
! [X40,X5] :
( ! [X3] : ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X40))
<=> X40 = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
inference(fof_simplification,[status(thm)],[fact_all__not__in__conv]) ).
fof(c_0_35,plain,
! [X17679,X17680,X17681,X17682,X17683,X17684] : hAPP(hAPP(hAPP(c_COMBC(X17684,X17683,X17682),X17681),X17680),X17679) = hAPP(hAPP(X17681,X17679),X17680),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_36,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]) ).
cnf(c_0_37,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_38,plain,
! [X8327] : c_Orderings_Obot__class_Obot(tc_fun(X8327,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8327),hAPP(c_COMBK(tc_HOL_Obool,X8327),c_fFalse)),
inference(variable_rename,[status(thm)],[fact_empty__def]) ).
fof(c_0_39,plain,
! [X21,X6] :
( hBOOL(X6)
| ~ hBOOL(hAPP(hAPP(c_fconj,X6),X21)) ),
inference(fof_simplification,[status(thm)],[help_c__fconj__2]) ).
fof(c_0_40,plain,
! [X855,X856,X858,X859,X860] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X859),X860),X858))
| X858 != c_Orderings_Obot__class_Obot(tc_fun(X859,tc_HOL_Obool)) )
& ( X855 = c_Orderings_Obot__class_Obot(tc_fun(X856,tc_HOL_Obool))
| hBOOL(hAPP(hAPP(c_member(X856),esk19_2(X855,X856)),X855)) ) ),
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_34])])])])])]) ).
cnf(c_0_41,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,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_36,c_0_37]) ).
fof(c_0_43,plain,
! [X375,X376,X377] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X376,X377)),X375) = c_Orderings_Obot__class_Obot(X377)
| ~ class_Orderings_Obot(X377) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__fun__def])])]) ).
fof(c_0_44,plain,
! [X17626,X17627] :
( class_Orderings_Obot(tc_fun(X17626,X17627))
| ~ class_Orderings_Obot(X17627) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Obot])])]) ).
fof(c_0_45,plain,
! [X17669,X17670,X17671,X17672] : hAPP(hAPP(c_COMBK(X17672,X17671),X17670),X17669) = X17670,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_46,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_38]) ).
fof(c_0_47,plain,
! [X9315,X9316] : hAPP(c_Set_OCollect(X9316),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X9316),c_fNot),X9315)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9316,tc_HOL_Obool)),hAPP(c_Set_OCollect(X9316),X9315)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_48,plain,
! [X66,X24,X25,X5] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_fun(X25,tc_HOL_Obool))),X24),X66)),
inference(fof_simplification,[status(thm)],[fact_bot2E]) ).
fof(c_0_49,plain,
! [X17699,X17700] :
( hBOOL(X17700)
| ~ hBOOL(hAPP(hAPP(c_fconj,X17700),X17699)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
cnf(c_0_50,plain,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| hBOOL(hAPP(hAPP(c_member(X1),esk19_2(X2,X1)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,plain,
( ~ class_Orderings_Obot(X1)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,X1)),X3) = c_Orderings_Obot__class_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(tc_fun(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_54,plain,
! [X8334] : c_Orderings_Otop__class_Otop(tc_fun(X8334,tc_HOL_Obool)) = hAPP(c_Set_OCollect(X8334),hAPP(c_COMBK(tc_HOL_Obool,X8334),c_fTrue)),
inference(variable_rename,[status(thm)],[fact_UNIV__def]) ).
fof(c_0_55,plain,
! [X9399] :
( hAPP(c_Groups_Ouminus__class_Ouminus(X9399),c_Orderings_Obot__class_Obot(X9399)) = c_Orderings_Otop__class_Otop(X9399)
| ~ class_Lattices_Oboolean__algebra(X9399) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_compl__bot__eq])])]) ).
cnf(c_0_56,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,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_46,c_0_37]) ).
fof(c_0_58,plain,
! [X25,X40,X23,X5] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X5),X23),X40))
=> hAPP(c_Set_Ovimage(X25,X5,hAPP(c_COMBK(X5,X25),X23)),X40) = c_Orderings_Obot__class_Obot(tc_fun(X25,tc_HOL_Obool)) )
& ( hBOOL(hAPP(hAPP(c_member(X5),X23),X40))
=> hAPP(c_Set_Ovimage(X25,X5,hAPP(c_COMBK(X5,X25),X23)),X40) = c_Orderings_Otop__class_Otop(tc_fun(X25,tc_HOL_Obool)) ) ),
inference(fof_simplification,[status(thm)],[fact_vimage__const]) ).
fof(c_0_59,plain,
! [X8341,X8342,X8343,X8344] : hAPP(c_Set_Ovimage(X8344,X8343,X8342),hAPP(c_Set_OCollect(X8343),X8341)) = hAPP(c_Set_OCollect(X8344),hAPP(hAPP(c_COMBB(X8343,tc_HOL_Obool,X8344),X8341),X8342)),
inference(variable_rename,[status(thm)],[fact_vimage__Collect__eq]) ).
fof(c_0_60,plain,
! [X9433] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9433,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X9433,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X9433,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_61,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_47]) ).
fof(c_0_62,plain,
! [X10712,X10713,X10714,X10715] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10715,tc_fun(X10714,tc_HOL_Obool))),X10713),X10712)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
cnf(c_0_63,plain,
( ~ hBOOL(hAPP(hAPP(c_fconj,X1),X2))
| hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_64,plain,
( hBOOL(hAPP(X1,esk19_2(X1,X2)))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_65,plain,
( ~ class_Orderings_Obot(X3)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,X3))),X4) = c_Orderings_Obot__class_Obot(tc_fun(X2,X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_66,plain,
class_Orderings_Obot(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Obot]) ).
fof(c_0_67,plain,
! [X9234,X9235] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9235,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9235,tc_HOL_Obool)),X9234)) = X9234,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_68,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_54]) ).
cnf(c_0_69,plain,
( ~ class_Lattices_Oboolean__algebra(X1)
| hAPP(c_Groups_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_70,plain,
class_Lattices_Oboolean__algebra(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Lattices_Oboolean__algebra]) ).
cnf(c_0_71,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = c_fFalse,
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_72,plain,
! [X9432] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X9432,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X9432,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X9432,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__UNIV__eq]) ).
fof(c_0_73,plain,
! [X7270,X7271,X7272,X7273] :
( ( hAPP(c_Set_Ovimage(X7270,X7273,hAPP(c_COMBK(X7273,X7270),X7272)),X7271) = c_Orderings_Obot__class_Obot(tc_fun(X7270,tc_HOL_Obool))
| hBOOL(hAPP(hAPP(c_member(X7273),X7272),X7271)) )
& ( hAPP(c_Set_Ovimage(X7270,X7273,hAPP(c_COMBK(X7273,X7270),X7272)),X7271) = c_Orderings_Otop__class_Otop(tc_fun(X7270,tc_HOL_Obool))
| ~ hBOOL(hAPP(hAPP(c_member(X7273),X7272),X7271)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
cnf(c_0_74,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_59]) ).
cnf(c_0_75,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_60]) ).
cnf(c_0_76,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_61,c_0_37]),c_0_37]) ).
cnf(c_0_77,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3),X4)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_78,plain,
( hBOOL(X1)
| hAPP(c_fconj,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_79,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_fun(X2,tc_HOL_Obool))),X3) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_80,plain,
! [X17673,X17674,X17675,X17676,X17677,X17678] : hAPP(hAPP(hAPP(c_COMBB(X17678,X17677,X17676),X17675),X17674),X17673) = hAPP(X17675,hAPP(X17674,X17673)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_81,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_67]) ).
fof(c_0_82,plain,
! [X2359,X2360,X2361] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2360,X2361)),X2359) = c_Orderings_Otop__class_Otop(X2361)
| ~ class_Orderings_Otop(X2361) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_top__apply])])]) ).
cnf(c_0_83,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_68,c_0_37]) ).
cnf(c_0_84,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_HOL_Obool)) = c_Orderings_Otop__class_Otop(tc_HOL_Obool),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_85,plain,
c_Orderings_Obot__class_Obot(tc_HOL_Obool) = c_fFalse,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_66]),c_0_71]) ).
cnf(c_0_86,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_87,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hAPP(c_Set_Ovimage(X4,X1,hAPP(c_COMBK(X1,X4),X2)),X3) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_88,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_74,c_0_37]),c_0_37]) ).
cnf(c_0_89,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_75,c_0_76]) ).
cnf(c_0_90,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_fconj,c_fFalse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_71]) ).
cnf(c_0_91,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,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_81,c_0_76]),c_0_76]) ).
cnf(c_0_93,plain,
( ~ class_Orderings_Otop(X1)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,X1)),X3) = c_Orderings_Otop__class_Otop(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,plain,
class_Orderings_Otop(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Otop]) ).
cnf(c_0_95,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_fTrue,
inference(spm,[status(thm)],[c_0_56,c_0_83]) ).
cnf(c_0_96,plain,
c_Orderings_Otop__class_Otop(tc_HOL_Obool) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse),
inference(rw,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_97,plain,
hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(rw,[status(thm)],[c_0_86,c_0_76]) ).
cnf(c_0_98,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X4),X3))
| hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_COMBK(X1,X2),X4)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)) ),
inference(rw,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),hAPP(c_fconj,c_fFalse)),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_91]) ).
cnf(c_0_101,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_HOL_Obool),c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_102,plain,
hAPP(c_fNot,c_fTrue) = c_fFalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_97]),c_0_71]),c_0_95]) ).
fof(c_0_103,plain,
! [X114] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X114),
inference(fof_simplification,[status(thm)],[fact_Zero__not__Suc]) ).
cnf(c_0_104,plain,
( ~ hBOOL(hAPP(X3,X4))
| hAPP(hAPP(c_COMBB(X1,tc_HOL_Obool,X2),X3),hAPP(c_COMBK(X1,X2),X4)) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(c_fconj,c_fFalse)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_51]) ).
cnf(c_0_105,plain,
hAPP(hAPP(c_fconj,c_fFalse),X1) = c_fFalse,
inference(rw,[status(thm)],[c_0_71,c_0_90]) ).
cnf(c_0_106,plain,
hAPP(c_fNot,c_fFalse) = c_fTrue,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
fof(c_0_107,plain,
! [X16507,X16508] : hAPP(c_List_Orev(X16508),hAPP(c_List_Orev(X16508),X16507)) = X16507,
inference(variable_rename,[status(thm)],[fact_rev__rev__ident]) ).
fof(c_0_108,plain,
! [X6] :
( hBOOL(hAPP(c_fNot,X6))
| hBOOL(X6) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__2]) ).
fof(c_0_109,plain,
! [X5292,X5293] :
( X5292 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5293),X5292) != X5293 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])]) ).
cnf(c_0_110,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_111,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[fact_Pls__def]) ).
fof(c_0_112,plain,
! [X5268] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X5268),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_103])]) ).
cnf(c_0_113,plain,
( ~ hBOOL(hAPP(X1,X2))
| hAPP(X1,X2) = c_fTrue ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_104]),c_0_91]),c_0_105]),c_0_106]),c_0_56]) ).
cnf(c_0_114,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
fof(c_0_115,plain,
! [X17696] :
( hBOOL(hAPP(c_fNot,X17696))
| hBOOL(X17696) ),
inference(variable_rename,[status(thm)],[c_0_108]) ).
cnf(c_0_116,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_109]) ).
cnf(c_0_117,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Int_OPls),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_118,plain,
! [X4205,X4206] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4206),hAPP(c_Nat_OSuc,X4205)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4206),X4205)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
cnf(c_0_119,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_120,plain,
( ~ hBOOL(X1)
| X1 = c_fTrue ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,plain,
( hBOOL(hAPP(c_fNot,X1))
| hBOOL(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_122,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_116,c_0_117]) ).
cnf(c_0_123,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_118]) ).
cnf(c_0_124,plain,
hAPP(c_Int_Onat,c_Int_OPls) != hAPP(c_Nat_OSuc,X1),
inference(rw,[status(thm)],[c_0_119,c_0_117]) ).
fof(c_0_125,plain,
! [X5289] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5289),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X5289,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(c_0_126,plain,
! [X113] : X113 != hAPP(c_Nat_OSuc,X113),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_127,plain,
( hBOOL(X1)
| hAPP(c_fNot,X1) = c_fTrue ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,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_122,c_0_123]),c_0_124]) ).
cnf(c_0_129,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_125]) ).
fof(c_0_130,plain,
! [X3894] : X3894 != hAPP(c_Nat_OSuc,X3894),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_126])]) ).
cnf(c_0_131,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_100,c_0_114]) ).
cnf(c_0_132,plain,
( X1 = c_fTrue
| hAPP(c_fNot,X1) = c_fTrue ),
inference(spm,[status(thm)],[c_0_120,c_0_127]) ).
cnf(c_0_133,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_128,c_0_123]) ).
cnf(c_0_134,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_129,c_0_117]) ).
cnf(c_0_135,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_136,plain,
( c_fFalse = X1
| X1 = c_fTrue ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_102]) ).
cnf(c_0_137,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,plain,
hAPP(c_Nat_OSuc,c_fTrue) = c_fFalse,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_139,plain,
hAPP(c_Nat_OSuc,c_fFalse) != c_fTrue,
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_140,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_136]),c_0_135]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW356+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n017.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 21 09:43:57 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 204.41/32.24 % Version: 3.5.1
% 204.41/32.24 % Preprocessing class: FMLMSMSMSSSNFFN.
% 204.41/32.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 204.41/32.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 204.41/32.24 % Starting new_bool_3 with 300s (1) cores
% 204.41/32.24 % Starting new_bool_1 with 300s (1) cores
% 204.41/32.24 % Starting sh5l with 300s (1) cores
% 204.41/32.24 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2022169 completed with status 0
% 204.41/32.24 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 204.41/32.24 % Preprocessing class: FMLMSMSMSSSNFFN.
% 204.41/32.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 204.41/32.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 204.41/32.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 204.41/32.24 % No SInE strategy applied
% 204.41/32.24 % Search class: FGHSM-SMLM33-DFFFFFNN
% 204.41/32.24 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 204.41/32.24 % Starting SubtermCWHack with 135s (1) cores
% 204.41/32.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 204.41/32.24 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 204.41/32.24 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 204.41/32.24 % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 135s (1) cores
% 204.41/32.24 % SAT001_CA_MinMin_p005000_rr with pid 2022210 completed with status 0
% 204.41/32.24 % Result found by SAT001_CA_MinMin_p005000_rr
% 204.41/32.24 % Preprocessing class: FMLMSMSMSSSNFFN.
% 204.41/32.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 204.41/32.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 204.41/32.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 204.41/32.24 % No SInE strategy applied
% 204.41/32.24 % Search class: FGHSM-SMLM33-DFFFFFNN
% 204.41/32.24 % Scheduled 7 strats onto 5 cores with 1499 seconds (1499 total)
% 204.41/32.24 % Starting SubtermCWHack with 135s (1) cores
% 204.41/32.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 150s (1) cores
% 204.41/32.24 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 204.41/32.24 % Starting SAT001_CA_MinMin_p005000_rr with 135s (1) cores
% 204.41/32.24 % Preprocessing time : 0.185 s
% 204.41/32.24 % Presaturation interreduction done
% 204.41/32.24
% 204.41/32.24 % Proof found!
% 204.41/32.24 % SZS status ContradictoryAxioms
% 204.41/32.24 % SZS output start CNFRefutation
% See solution above
% 204.41/32.24 % Parsed axioms : 5244
% 204.41/32.24 % Removed by relevancy pruning/SinE : 0
% 204.41/32.24 % Initial clauses : 7567
% 204.41/32.24 % Removed in clause preprocessing : 235
% 204.41/32.24 % Initial clauses in saturation : 7332
% 204.41/32.24 % Processed clauses : 38690
% 204.41/32.24 % ...of these trivial : 809
% 204.41/32.24 % ...subsumed : 18399
% 204.41/32.24 % ...remaining for further processing : 19482
% 204.41/32.24 % Other redundant clauses eliminated : 12065
% 204.41/32.24 % Clauses deleted for lack of memory : 0
% 204.41/32.24 % Backward-subsumed : 608
% 204.41/32.24 % Backward-rewritten : 1189
% 204.41/32.24 % Generated clauses : 670258
% 204.41/32.24 % ...of the previous two non-redundant : 636653
% 204.41/32.24 % ...aggressively subsumed : 0
% 204.41/32.24 % Contextual simplify-reflections : 70
% 204.41/32.24 % Paramodulations : 658047
% 204.41/32.24 % Factorizations : 15
% 204.41/32.24 % NegExts : 0
% 204.41/32.24 % Equation resolutions : 12263
% 204.41/32.24 % Disequality decompositions : 0
% 204.41/32.24 % Total rewrite steps : 115945
% 204.41/32.24 % ...of those cached : 89993
% 204.41/32.24 % Propositional unsat checks : 4
% 204.41/32.24 % Propositional check models : 2
% 204.41/32.24 % Propositional check unsatisfiable : 0
% 204.41/32.24 % Propositional clauses : 0
% 204.41/32.24 % Propositional clauses after purity: 0
% 204.41/32.24 % Propositional unsat core size : 0
% 204.41/32.24 % Propositional preprocessing time : 0.000
% 204.41/32.24 % Propositional encoding time : 1.538
% 204.41/32.24 % Propositional solver time : 0.688
% 204.41/32.24 % Success case prop preproc time : 0.000
% 204.41/32.24 % Success case prop encoding time : 0.000
% 204.41/32.24 % Success case prop solver time : 0.000
% 204.41/32.24 % Current number of processed clauses : 11278
% 204.41/32.24 % Positive orientable unit clauses : 1929
% 204.41/32.24 % Positive unorientable unit clauses: 126
% 204.41/32.24 % Negative unit clauses : 1547
% 204.41/32.24 % Non-unit-clauses : 7676
% 204.41/32.24 % Current number of unprocessed clauses: 572312
% 204.41/32.24 % ...number of literals in the above : 1474225
% 204.41/32.24 % Current number of archived formulas : 0
% 204.41/32.24 % Current number of archived clauses : 7752
% 204.41/32.24 % Clause-clause subsumption calls (NU) : 11146545
% 204.41/32.24 % Rec. Clause-clause subsumption calls : 5083837
% 204.41/32.24 % Non-unit clause-clause subsumptions : 14604
% 204.41/32.24 % Unit Clause-clause subsumption calls : 1244496
% 204.41/32.24 % Rewrite failures with RHS unbound : 619
% 204.41/32.24 % BW rewrite match attempts : 43924
% 204.41/32.24 % BW rewrite match successes : 1354
% 204.41/32.24 % Condensation attempts : 711326
% 204.41/32.24 % Condensation successes : 4709
% 204.41/32.24 % Termbank termtop insertions : 20536911
% 204.41/32.24 % Search garbage collected termcells : 100055
% 204.41/32.24
% 204.41/32.24 % -------------------------------------------------
% 204.41/32.24 % User time : 30.275 s
% 204.41/32.24 % System time : 0.785 s
% 204.41/32.24 % Total time : 31.060 s
% 204.41/32.24 % Maximum resident set size: 42940 pages
% 204.41/32.24
% 204.41/32.24 % -------------------------------------------------
% 204.41/32.24 % User time : 140.333 s
% 204.41/32.24 % System time : 3.653 s
% 204.41/32.24 % Total time : 143.986 s
% 204.41/32.24 % Maximum resident set size: 12544 pages
% 204.41/32.24 % E exiting
%------------------------------------------------------------------------------