%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW303+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 : n005.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 03:11:54 PM UTC 2026
% Result : ContradictoryAxioms 228.85s 34.37s
% Output : CNFRefutation 228.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 25
% Syntax : Number of formulae : 161 ( 104 unt; 0 def)
% Number of atoms : 225 ( 121 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 134 ( 70 ~; 55 |; 2 &)
% ( 3 <=>; 4 =>; 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 : 28 ( 28 usr; 8 con; 0-3 aty)
% Number of variables : 269 ( 60 sgn 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Collect__neg__eq,axiom,
! [X29,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X5),c_fNot),X29)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),hAPP(c_Set_OCollect(X5),X29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__neg__eq) ).
fof(fact_Collect__def,axiom,
! [X29,X5] : hAPP(c_Set_OCollect(X5),X29) = X29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_Collect__mem__eq,axiom,
! [X16,X5] : hAPP(c_Set_OCollect(X5),hAPP(hAPP(c_COMBC(X5,tc_fun(X5,tc_HOL_Obool),tc_HOL_Obool),c_member(X5)),X16)) = X16,
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,
! [X35,X30,X29,X5,X24,X17] : hAPP(hAPP(hAPP(c_COMBC(X17,X24,X5),X29),X30),X35) = hAPP(hAPP(X29,X35),X30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(help_c__COMBB__1,axiom,
! [X35,X30,X29,X24,X5,X17] : hAPP(hAPP(hAPP(c_COMBB(X17,X5,X24),X29),X30),X35) = hAPP(X29,hAPP(X30,X35)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(fact_insert__absorb,axiom,
! [X16,X6,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X6),X16))
=> hAPP(hAPP(c_Set_Oinsert(X5),X6),X16) = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__absorb) ).
fof(fact_top1I,axiom,
! [X18,X5] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),X18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_top1I) ).
fof(fact_Collect__empty__eq,axiom,
! [X29,X5] :
( hAPP(c_Set_OCollect(X5),X29) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X29,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).
fof(fact_empty__not__insert,axiom,
! [X16,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__not__insert) ).
fof(help_c__fNot__1,axiom,
! [X29] :
( ~ hBOOL(X29)
| ~ hBOOL(hAPP(c_fNot,X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(fact_ComplE,axiom,
! [X16,X21,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X21),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X16)))
=> ~ hBOOL(hAPP(hAPP(c_member(X5),X21),X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ComplE) ).
fof(fact_mem__def,axiom,
! [X16,X18,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X18),X16))
<=> hBOOL(hAPP(X16,X18)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(help_c__COMBK__1,axiom,
! [X309,X308,X5,X59] : hAPP(hAPP(c_COMBK(X59,X5),X308),X309) = X308,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_Procs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_double__complement,axiom,
! [X16,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)),X16)) = X16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_double__complement) ).
fof(fact_number__of__is__id,axiom,
! [X126] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X126) = X126,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_number__of__is__id) ).
fof(fact_distinct_Osimps_I1_J,axiom,
! [X59] : hBOOL(hAPP(c_List_Odistinct(X59),c_List_Olist_ONil(X59))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_distinct_Osimps_I1_J) ).
fof(fact_option_Osimps_I2_J,axiom,
! [X117,X59] : c_Option_Ooption_ONone(X59) != hAPP(c_Option_Ooption_OSome(X59),X117),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_option_Osimps_I2_J) ).
fof(fact_the_Osimps,axiom,
! [X58,X59] : hAPP(c_Option_Othe(X59),hAPP(c_Option_Ooption_OSome(X59),X58)) = X58,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_the_Osimps) ).
fof(fact_n__not__Suc__n,axiom,
! [X123] : X123 != hAPP(c_Nat_OSuc,X123),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(fact_Zero__neq__Suc,axiom,
! [X124] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X124),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).
fof(fact_add__eq__self__zero,axiom,
! [X123,X124] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X124),X123) = X124
=> X123 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__self__zero) ).
fof(fact_add__Suc__right,axiom,
! [X123,X124] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X124),hAPP(c_Nat_OSuc,X123)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X124),X123)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X124] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X124),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X124,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(c_0_25,plain,
! [X3786,X3787] : hAPP(c_Set_OCollect(X3787),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3787),c_fNot),X3786)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X3787,tc_HOL_Obool)),hAPP(c_Set_OCollect(X3787),X3786)),
inference(variable_rename,[status(thm)],[fact_Collect__neg__eq]) ).
fof(c_0_26,plain,
! [X3812,X3813] : hAPP(c_Set_OCollect(X3813),X3812) = X3812,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_27,plain,
! [X3835,X3836] : hAPP(c_Set_OCollect(X3836),hAPP(hAPP(c_COMBC(X3836,tc_fun(X3836,tc_HOL_Obool),tc_HOL_Obool),c_member(X3836)),X3835)) = X3835,
inference(variable_rename,[status(thm)],[fact_Collect__mem__eq]) ).
fof(c_0_28,plain,
! [X1539] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1539,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1539,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1539,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_Compl__empty__eq]) ).
cnf(c_0_29,plain,
hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_OCollect(X1),X2)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X2113,X2114,X2115,X2116,X2117,X2118] : hAPP(hAPP(hAPP(c_COMBC(X2118,X2117,X2116),X2115),X2114),X2113) = hAPP(hAPP(X2115,X2113),X2114),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
cnf(c_0_32,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_27]) ).
fof(c_0_33,plain,
! [X627,X628,X629,X630,X631,X632] : hAPP(hAPP(hAPP(c_COMBB(X632,X631,X630),X629),X628),X627) = hAPP(X629,hAPP(X628,X627)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
cnf(c_0_34,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_28]) ).
cnf(c_0_35,plain,
hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1,tc_HOL_Obool)),X2) = hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_30]) ).
fof(c_0_36,plain,
! [X793,X794,X795] :
( hAPP(hAPP(c_Set_Oinsert(X795),X794),X793) = X793
| ~ hBOOL(hAPP(hAPP(c_member(X795),X794),X793)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])])]) ).
cnf(c_0_37,plain,
hAPP(hAPP(hAPP(c_COMBC(X1,X2,X3),X4),X5),X6) = hAPP(hAPP(X4,X6),X5),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,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_32,c_0_30]) ).
fof(c_0_39,plain,
! [X1528,X1529] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1529,tc_HOL_Obool)),X1528)),
inference(variable_rename,[status(thm)],[fact_top1I]) ).
cnf(c_0_40,plain,
hAPP(hAPP(hAPP(c_COMBB(X1,X2,X3),X4),X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,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_34,c_0_35]) ).
fof(c_0_42,plain,
! [X29,X5] :
( hAPP(c_Set_OCollect(X5),X29) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X29,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_43,plain,
! [X16,X6,X5] : c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X5),X6),X16),
inference(fof_simplification,[status(thm)],[fact_empty__not__insert]) ).
cnf(c_0_44,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_36]) ).
cnf(c_0_45,plain,
hAPP(hAPP(c_member(X1),X2),X3) = hAPP(X3,X2),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,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_40,c_0_41]) ).
fof(c_0_48,plain,
! [X29] :
( ~ hBOOL(X29)
| ~ hBOOL(hAPP(c_fNot,X29)) ),
inference(fof_simplification,[status(thm)],[help_c__fNot__1]) ).
fof(c_0_49,plain,
! [X3814,X3815,X3816,X3817,X3819] :
( ( hAPP(c_Set_OCollect(X3819),X3817) = c_Orderings_Obot__class_Obot(tc_fun(X3819,tc_HOL_Obool))
| hBOOL(hAPP(X3817,esk79_1(X3817))) )
& ( ~ hBOOL(hAPP(X3814,X3816))
| hAPP(c_Set_OCollect(X3815),X3814) != c_Orderings_Obot__class_Obot(tc_fun(X3815,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_42])])])])])]) ).
fof(c_0_50,plain,
! [X693,X694,X695] : c_Orderings_Obot__class_Obot(tc_fun(X695,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(X695),X694),X693),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
cnf(c_0_51,plain,
( ~ hBOOL(hAPP(X3,X2))
| hAPP(hAPP(c_Set_Oinsert(X1),X2),X3) = X3 ),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
hBOOL(hAPP(c_fNot,hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2))),
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_53,plain,
! [X16,X21,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X21),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X5,tc_HOL_Obool)),X16)))
=> ~ hBOOL(hAPP(hAPP(c_member(X5),X21),X16)) ),
inference(fof_simplification,[status(thm)],[fact_ComplE]) ).
fof(c_0_54,plain,
! [X329,X330,X331] :
( ( hBOOL(hAPP(hAPP(c_member(X331),X330),X329))
| ~ hBOOL(hAPP(X329,X330)) )
& ( hBOOL(hAPP(X329,X330))
| ~ hBOOL(hAPP(hAPP(c_member(X331),X330),X329)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])]) ).
fof(c_0_55,plain,
! [X3807] :
( ~ hBOOL(X3807)
| ~ hBOOL(hAPP(c_fNot,X3807)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
cnf(c_0_56,plain,
( hAPP(c_Set_OCollect(X2),X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk79_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,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_50]) ).
cnf(c_0_58,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_51,c_0_52]) ).
fof(c_0_59,plain,
! [X3748,X3749,X3750,X3751] : hAPP(hAPP(c_COMBK(X3751,X3750),X3749),X3748) = X3749,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
fof(c_0_60,plain,
! [X1808,X1809,X1810] :
( ~ hBOOL(hAPP(hAPP(c_member(X1810),X1809),X1808))
| ~ hBOOL(hAPP(hAPP(c_member(X1810),X1809),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1810,tc_HOL_Obool)),X1808))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_61,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3))
| hBOOL(hAPP(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_Procs)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_63,plain,
( ~ hBOOL(X1)
| ~ hBOOL(hAPP(c_fNot,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,plain,
( hBOOL(hAPP(X1,esk79_1(X1)))
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(rw,[status(thm)],[c_0_56,c_0_30]) ).
cnf(c_0_65,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_fNot,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,plain,
hAPP(hAPP(c_COMBK(X1,X2),X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,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_60]) ).
cnf(c_0_68,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_69,hypothesis,
hBOOL(hAPP(v_Procs,v_pn)),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
~ hBOOL(esk79_1(c_fNot)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_71,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_66,c_0_64]),c_0_66]) ).
cnf(c_0_72,plain,
( ~ hBOOL(hAPP(X2,X3))
| hAPP(c_Set_OCollect(X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_73,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_67,c_0_35]) ).
cnf(c_0_74,hypothesis,
hBOOL(hAPP(hAPP(c_member(X1),v_pn),v_Procs)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2) = esk79_1(c_fNot),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_30])]) ).
fof(c_0_77,plain,
! [X1806,X1807] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1807,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(X1807,tc_HOL_Obool)),X1806)) = X1806,
inference(variable_rename,[status(thm)],[fact_double__complement]) ).
cnf(c_0_78,hypothesis,
~ hBOOL(hAPP(hAPP(c_member(X1),v_pn),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),v_Procs))),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( hBOOL(X1)
| esk79_1(c_fNot) = X1 ),
inference(spm,[status(thm)],[c_0_71,c_0_75]) ).
fof(c_0_80,plain,
! [X4333] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X4333) = X4333,
inference(variable_rename,[status(thm)],[fact_number__of__is__id]) ).
cnf(c_0_81,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,esk79_1(X1))) ),
inference(spm,[status(thm)],[c_0_76,c_0_64]) ).
fof(c_0_82,plain,
! [X4077] : hBOOL(hAPP(c_List_Odistinct(X4077),c_List_Olist_ONil(X4077))),
inference(variable_rename,[status(thm)],[fact_distinct_Osimps_I1_J]) ).
cnf(c_0_83,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_77]) ).
cnf(c_0_84,hypothesis,
~ hBOOL(hAPP(c_fNot,hAPP(v_Procs,v_pn))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_45]),c_0_40]) ).
cnf(c_0_85,plain,
( hBOOL(X2)
| hBOOL(X1)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_79,c_0_79]) ).
cnf(c_0_86,plain,
hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
( ~ hBOOL(X2)
| hBOOL(esk79_1(c_Set_OCollect(X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_30]),c_0_30]) ).
cnf(c_0_88,plain,
hBOOL(hAPP(c_List_Odistinct(X1),c_List_Olist_ONil(X1))),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_89,plain,
! [X117,X59] : c_Option_Ooption_ONone(X59) != hAPP(c_Option_Ooption_OSome(X59),X117),
inference(fof_simplification,[status(thm)],[fact_option_Osimps_I2_J]) ).
cnf(c_0_90,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_83,c_0_35]),c_0_35]) ).
fof(c_0_91,plain,
! [X1122,X1123] : hAPP(c_Option_Othe(X1123),hAPP(c_Option_Ooption_OSome(X1123),X1122)) = X1122,
inference(variable_rename,[status(thm)],[fact_the_Osimps]) ).
cnf(c_0_92,hypothesis,
( hBOOL(X1)
| X1 = hAPP(c_fNot,hAPP(v_Procs,v_pn)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,plain,
( ~ hBOOL(X1)
| hBOOL(esk79_1(c_Int_Onumber__class_Onumber__of(tc_Int_Oint))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_86]),c_0_86]) ).
cnf(c_0_94,plain,
hBOOL(esk79_1(c_Set_OCollect(X1))),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_95,plain,
! [X3021,X3022] : c_Option_Ooption_ONone(X3022) != hAPP(c_Option_Ooption_OSome(X3022),X3021),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_89])]) ).
cnf(c_0_96,plain,
hAPP(c_fNot,hAPP(c_fNot,hAPP(X1,X2))) = hAPP(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_90]),c_0_40]) ).
cnf(c_0_97,plain,
hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,hypothesis,
( ~ hBOOL(X1)
| hAPP(c_fNot,X1) = hAPP(c_fNot,hAPP(v_Procs,v_pn)) ),
inference(spm,[status(thm)],[c_0_63,c_0_92]) ).
cnf(c_0_99,plain,
hBOOL(esk79_1(c_Int_Onumber__class_Onumber__of(tc_Int_Oint))),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
c_Option_Ooption_ONone(X1) != hAPP(c_Option_Ooption_OSome(X1),X2),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_101,plain,
hAPP(c_fNot,hAPP(c_fNot,X1)) = X1,
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,hypothesis,
hAPP(c_fNot,esk79_1(c_Int_Onumber__class_Onumber__of(tc_Int_Oint))) = hAPP(c_fNot,hAPP(v_Procs,v_pn)),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
( c_Option_Ooption_ONone(X1) != hAPP(esk79_1(c_fNot),X2)
| hBOOL(c_Option_Ooption_OSome(X1)) ),
inference(spm,[status(thm)],[c_0_100,c_0_79]) ).
cnf(c_0_104,hypothesis,
esk79_1(c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) = hAPP(v_Procs,v_pn),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_101]) ).
cnf(c_0_105,plain,
( c_Option_Ooption_ONone(X1) != hAPP(X2,X3)
| hBOOL(X2)
| hBOOL(c_Option_Ooption_OSome(X1)) ),
inference(spm,[status(thm)],[c_0_103,c_0_79]) ).
cnf(c_0_106,plain,
hBOOL(hAPP(c_fNot,esk79_1(c_fNot))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_64]),c_0_58]),c_0_58]),c_0_65]) ).
cnf(c_0_107,hypothesis,
( hBOOL(X1)
| hBOOL(c_Int_Onumber__class_Onumber__of(tc_Int_Oint))
| esk79_1(X1) = hAPP(v_Procs,v_pn) ),
inference(spm,[status(thm)],[c_0_104,c_0_85]) ).
cnf(c_0_108,hypothesis,
hAPP(hAPP(c_Set_Oinsert(X1),v_pn),v_Procs) = v_Procs,
inference(spm,[status(thm)],[c_0_44,c_0_74]) ).
cnf(c_0_109,plain,
( hBOOL(c_fNot)
| hBOOL(c_Option_Ooption_OSome(X1)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_101])]) ).
cnf(c_0_110,hypothesis,
( hBOOL(c_fNot)
| hBOOL(c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_84]) ).
cnf(c_0_111,hypothesis,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != v_Procs,
inference(spm,[status(thm)],[c_0_57,c_0_108]) ).
cnf(c_0_112,hypothesis,
( hBOOL(c_fNot)
| hAPP(c_fNot,c_Option_Ooption_OSome(X1)) = hAPP(c_fNot,hAPP(v_Procs,v_pn)) ),
inference(spm,[status(thm)],[c_0_98,c_0_109]) ).
cnf(c_0_113,hypothesis,
( hBOOL(c_fNot)
| hAPP(c_fNot,c_Int_Onumber__class_Onumber__of(tc_Int_Oint)) = hAPP(c_fNot,hAPP(v_Procs,v_pn)) ),
inference(spm,[status(thm)],[c_0_98,c_0_110]) ).
cnf(c_0_114,hypothesis,
( esk79_1(c_fNot) != v_Procs
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_111,c_0_79]) ).
cnf(c_0_115,hypothesis,
( hBOOL(c_fNot)
| c_Option_Ooption_OSome(X1) = hAPP(v_Procs,v_pn) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_112]),c_0_101]) ).
cnf(c_0_116,hypothesis,
( hBOOL(c_fNot)
| c_Int_Onumber__class_Onumber__of(tc_Int_Oint) = hAPP(v_Procs,v_pn) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_113]),c_0_101]) ).
cnf(c_0_117,hypothesis,
( hBOOL(v_Procs)
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_79])]) ).
cnf(c_0_118,hypothesis,
( c_Option_Ooption_ONone(X1) != hAPP(hAPP(v_Procs,v_pn),X2)
| hBOOL(c_fNot) ),
inference(spm,[status(thm)],[c_0_100,c_0_115]) ).
cnf(c_0_119,hypothesis,
( hBOOL(c_fNot)
| hAPP(hAPP(v_Procs,v_pn),X1) = X1 ),
inference(spm,[status(thm)],[c_0_86,c_0_116]) ).
fof(c_0_120,plain,
! [X123] : X123 != hAPP(c_Nat_OSuc,X123),
inference(fof_simplification,[status(thm)],[fact_n__not__Suc__n]) ).
cnf(c_0_121,hypothesis,
( hBOOL(v_Procs)
| hAPP(c_fNot,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fNot,hAPP(v_Procs,v_pn)) ),
inference(spm,[status(thm)],[c_0_98,c_0_117]) ).
cnf(c_0_122,hypothesis,
hBOOL(c_fNot),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119])]) ).
fof(c_0_123,plain,
! [X2150] : X2150 != hAPP(c_Nat_OSuc,X2150),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_120])]) ).
cnf(c_0_124,hypothesis,
( hBOOL(v_Procs)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(v_Procs,v_pn) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_121]),c_0_101]) ).
cnf(c_0_125,hypothesis,
hAPP(c_fNot,hAPP(v_Procs,v_pn)) = hAPP(c_fNot,c_fNot),
inference(spm,[status(thm)],[c_0_98,c_0_122]) ).
cnf(c_0_126,plain,
X1 != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_127,hypothesis,
( hAPP(v_Procs,v_pn) != c_fNot
| hBOOL(v_Procs) ),
inference(spm,[status(thm)],[c_0_65,c_0_124]) ).
cnf(c_0_128,hypothesis,
hAPP(v_Procs,v_pn) = c_fNot,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_125]),c_0_101]) ).
cnf(c_0_129,plain,
hBOOL(hAPP(c_Nat_OSuc,esk79_1(c_fNot))),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_79])]) ).
cnf(c_0_130,hypothesis,
esk79_1(c_fNot) = hAPP(c_fNot,hAPP(v_Procs,v_pn)),
inference(spm,[status(thm)],[c_0_70,c_0_92]) ).
cnf(c_0_131,hypothesis,
( ~ hBOOL(X1)
| hAPP(c_fNot,X1) = hAPP(c_fNot,c_fNot) ),
inference(rw,[status(thm)],[c_0_98,c_0_125]) ).
cnf(c_0_132,hypothesis,
hBOOL(v_Procs),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).
cnf(c_0_133,plain,
hAPP(hAPP(c_Set_Oinsert(X1),hAPP(c_fNot,hAPP(v_Procs,v_pn))),c_Nat_OSuc) = c_Nat_OSuc,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_129]),c_0_130]) ).
cnf(c_0_134,hypothesis,
hAPP(c_fNot,v_Procs) = hAPP(c_fNot,c_fNot),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) != c_Nat_OSuc,
inference(spm,[status(thm)],[c_0_57,c_0_133]) ).
cnf(c_0_136,hypothesis,
v_Procs = c_fNot,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_134]),c_0_101]) ).
cnf(c_0_137,plain,
( hBOOL(c_Nat_OSuc)
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_85])]) ).
cnf(c_0_138,hypothesis,
hAPP(c_fNot,v_pn) = c_fNot,
inference(rw,[status(thm)],[c_0_128,c_0_136]) ).
cnf(c_0_139,hypothesis,
( hBOOL(c_Nat_OSuc)
| hAPP(c_fNot,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = hAPP(c_fNot,hAPP(v_Procs,v_pn)) ),
inference(spm,[status(thm)],[c_0_98,c_0_137]) ).
fof(c_0_140,plain,
! [X124] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X124),
inference(fof_simplification,[status(thm)],[fact_Zero__neq__Suc]) ).
cnf(c_0_141,hypothesis,
~ hBOOL(v_pn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_138]),c_0_122])]) ).
cnf(c_0_142,hypothesis,
( hBOOL(c_Nat_OSuc)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(v_Procs,v_pn) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_139]),c_0_101]) ).
fof(c_0_143,plain,
! [X2361,X2362] :
( X2361 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2362),X2361) != X2362 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])]) ).
fof(c_0_144,plain,
! [X2179,X2180] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2180),hAPP(c_Nat_OSuc,X2179)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2180),X2179)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
fof(c_0_145,plain,
! [X2258] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X2258),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_140])]) ).
cnf(c_0_146,hypothesis,
( hBOOL(X1)
| X1 = v_pn ),
inference(spm,[status(thm)],[c_0_141,c_0_85]) ).
cnf(c_0_147,hypothesis,
( hAPP(v_Procs,v_pn) != c_fNot
| hBOOL(c_Nat_OSuc) ),
inference(spm,[status(thm)],[c_0_65,c_0_142]) ).
cnf(c_0_148,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_143]) ).
cnf(c_0_149,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_144]) ).
cnf(c_0_150,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_151,hypothesis,
( ~ hBOOL(X1)
| hAPP(c_fNot,X1) = v_pn ),
inference(spm,[status(thm)],[c_0_63,c_0_146]) ).
cnf(c_0_152,hypothesis,
hBOOL(c_Nat_OSuc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_128])]) ).
cnf(c_0_153,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_148,c_0_149]),c_0_150]) ).
fof(c_0_154,plain,
! [X2365] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2365),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2365,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
cnf(c_0_155,hypothesis,
hAPP(c_fNot,c_Nat_OSuc) = v_pn,
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,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_153,c_0_149]) ).
cnf(c_0_157,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_154]) ).
cnf(c_0_158,hypothesis,
c_fNot = c_Nat_OSuc,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_155]),c_0_138]) ).
cnf(c_0_159,plain,
hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,X1)) != X1,
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_160,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_158]),c_0_158]),c_0_159]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW303+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 09:46:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 228.85/34.37 % Version: 3.5.1
% 228.85/34.37 % Preprocessing class: FMLMSMSMSSSNFFN.
% 228.85/34.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 228.85/34.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 228.85/34.37 % Starting new_bool_3 with 300s (1) cores
% 228.85/34.37 % Starting new_bool_1 with 300s (1) cores
% 228.85/34.37 % Starting sh5l with 300s (1) cores
% 228.85/34.37 % new_bool_1 with pid 3152155 completed with status 0
% 228.85/34.37 % Result found by new_bool_1
% 228.85/34.37 % Preprocessing class: FMLMSMSMSSSNFFN.
% 228.85/34.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 228.85/34.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 228.85/34.37 % Starting new_bool_3 with 300s (1) cores
% 228.85/34.37 % Starting new_bool_1 with 300s (1) cores
% 228.85/34.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 228.85/34.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 228.85/34.37 % Search class: FGHSM-SSLM32-DFFFFFNN
% 228.85/34.37 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 228.85/34.37 % Starting SubtermCWHack with 28s (1) cores
% 228.85/34.37 % SubtermCWHack with pid 3152158 completed with status 8
% 228.85/34.37 % Starting new_bool_1 with 31s (1) cores
% 228.85/34.37 % new_bool_1 with pid 3152178 completed with status 0
% 228.85/34.37 % Result found by new_bool_1
% 228.85/34.37 % Preprocessing class: FMLMSMSMSSSNFFN.
% 228.85/34.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 228.85/34.37 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 228.85/34.37 % Starting new_bool_3 with 300s (1) cores
% 228.85/34.37 % Starting new_bool_1 with 300s (1) cores
% 228.85/34.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 228.85/34.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 228.85/34.37 % Search class: FGHSM-SSLM32-DFFFFFNN
% 228.85/34.37 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 228.85/34.37 % Starting SubtermCWHack with 28s (1) cores
% 228.85/34.37 % SubtermCWHack with pid 3152158 completed with status 8
% 228.85/34.37 % Starting new_bool_1 with 31s (1) cores
% 228.85/34.37 % Preprocessing time : 0.076 s
% 228.85/34.37 % Presaturation interreduction done
% 228.85/34.37
% 228.85/34.37 % Proof found!
% 228.85/34.37 % SZS status ContradictoryAxioms
% 228.85/34.37 % SZS output start CNFRefutation
% See solution above
% 228.85/34.37 % Parsed axioms : 5243
% 228.85/34.37 % Removed by relevancy pruning/SinE : 3962
% 228.85/34.37 % Initial clauses : 1877
% 228.85/34.37 % Removed in clause preprocessing : 60
% 228.85/34.37 % Initial clauses in saturation : 1817
% 228.85/34.37 % Processed clauses : 8132
% 228.85/34.37 % ...of these trivial : 238
% 228.85/34.37 % ...subsumed : 3721
% 228.85/34.37 % ...remaining for further processing : 4173
% 228.85/34.37 % Other redundant clauses eliminated : 3041
% 228.85/34.37 % Clauses deleted for lack of memory : 0
% 228.85/34.37 % Backward-subsumed : 143
% 228.85/34.37 % Backward-rewritten : 780
% 228.85/34.37 % Generated clauses : 106668
% 228.85/34.37 % ...of the previous two non-redundant : 98055
% 228.85/34.37 % ...aggressively subsumed : 0
% 228.85/34.37 % Contextual simplify-reflections : 15
% 228.85/34.37 % Paramodulations : 103583
% 228.85/34.37 % Factorizations : 14
% 228.85/34.37 % NegExts : 0
% 228.85/34.37 % Equation resolutions : 3083
% 228.85/34.37 % Disequality decompositions : 0
% 228.85/34.37 % Total rewrite steps : 24258
% 228.85/34.37 % ...of those cached : 18025
% 228.85/34.37 % Propositional unsat checks : 0
% 228.85/34.37 % Propositional check models : 0
% 228.85/34.37 % Propositional check unsatisfiable : 0
% 228.85/34.37 % Propositional clauses : 0
% 228.85/34.37 % Propositional clauses after purity: 0
% 228.85/34.37 % Propositional unsat core size : 0
% 228.85/34.37 % Propositional preprocessing time : 0.000
% 228.85/34.37 % Propositional encoding time : 0.000
% 228.85/34.37 % Propositional solver time : 0.000
% 228.85/34.37 % Success case prop preproc time : 0.000
% 228.85/34.37 % Success case prop encoding time : 0.000
% 228.85/34.37 % Success case prop solver time : 0.000
% 228.85/34.37 % Current number of processed clauses : 1745
% 228.85/34.37 % Positive orientable unit clauses : 458
% 228.85/34.37 % Positive unorientable unit clauses: 45
% 228.85/34.37 % Negative unit clauses : 232
% 228.85/34.37 % Non-unit-clauses : 1010
% 228.85/34.37 % Current number of unprocessed clauses: 90360
% 228.85/34.37 % ...number of literals in the above : 228101
% 228.85/34.37 % Current number of archived formulas : 0
% 228.85/34.37 % Current number of archived clauses : 2280
% 228.85/34.37 % Clause-clause subsumption calls (NU) : 341204
% 228.85/34.37 % Rec. Clause-clause subsumption calls : 222918
% 228.85/34.37 % Non-unit clause-clause subsumptions : 2317
% 228.85/34.37 % Unit Clause-clause subsumption calls : 30017
% 228.85/34.37 % Rewrite failures with RHS unbound : 203
% 228.85/34.37 % BW rewrite match attempts : 6800
% 228.85/34.37 % BW rewrite match successes : 624
% 228.85/34.37 % Condensation attempts : 0
% 228.85/34.37 % Condensation successes : 0
% 228.85/34.37 % Termbank termtop insertions : 2579614
% 228.85/34.37 % Search garbage collected termcells : 59977
% 228.85/34.37
% 228.85/34.37 % -------------------------------------------------
% 228.85/34.37 % User time : 32.053 s
% 228.85/34.37 % System time : 1.198 s
% 228.85/34.37 % Total time : 33.251 s
% 228.85/34.37 % Maximum resident set size: 16260 pages
% 228.85/34.37
% 228.85/34.37 % -------------------------------------------------
% 228.85/34.37 % User time : 32.313 s
% 228.85/34.37 % System time : 1.217 s
% 228.85/34.37 % Total time : 33.530 s
% 228.85/34.37 % Maximum resident set size: 12288 pages
% 228.85/34.37 % E exiting
%------------------------------------------------------------------------------