TSTP Solution File: LCL825-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL825-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:54:05 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 80
% Syntax : Number of formulae : 127 ( 80 unt; 0 def)
% Number of atoms : 175 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 17 ~; 8 |; 0 &)
% ( 40 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 64 ( 62 usr; 41 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f743,plain,
$false,
inference(avatar_sat_refutation,[],[f556,f561,f566,f571,f576,f581,f586,f591,f596,f601,f606,f611,f616,f621,f626,f631,f636,f641,f646,f651,f656,f661,f666,f671,f675,f679,f683,f687,f692,f697,f701,f705,f709,f713,f717,f721,f725,f729,f734,f740,f742]) ).
fof(f742,plain,
( ~ spl0_38
| spl0_40 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f741,plain,
( $false
| ~ spl0_38
| spl0_40 ),
inference(resolution,[],[f739,f728]) ).
fof(f728,plain,
( ! [X3,X19] : c_List_Olistsp(X19,c_List_Olist_ONil(X3),X3)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f727,plain,
( spl0_38
<=> ! [X19,X3] : c_List_Olistsp(X19,c_List_Olist_ONil(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f739,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB)
| spl0_40 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl0_40
<=> c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f740,plain,
( ~ spl0_40
| spl0_39 ),
inference(avatar_split_clause,[],[f735,f731,f737]) ).
fof(f731,plain,
( spl0_39
<=> c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f735,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB)
| spl0_39 ),
inference(forward_demodulation,[],[f733,f450]) ).
fof(f450,axiom,
! [X40,X3,X39] : c_List_Olist_ONil(X3) = c_List_Omap(X39,c_List_Olist_ONil(X40),X40,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__is__Nil__conv_1) ).
fof(f733,plain,
( ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
| spl0_39 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
~ spl0_39,
inference(avatar_split_clause,[],[f453,f731]) ).
fof(f453,axiom,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f729,plain,
spl0_38,
inference(avatar_split_clause,[],[f448,f727]) ).
fof(f448,axiom,
! [X3,X19] : c_List_Olistsp(X19,c_List_Olist_ONil(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
fof(f725,plain,
spl0_37,
inference(avatar_split_clause,[],[f425,f723]) ).
fof(f723,plain,
( spl0_37
<=> ! [X4] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f425,axiom,
! [X4] : hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var__IT_0) ).
fof(f721,plain,
spl0_36,
inference(avatar_split_clause,[],[f366,f719]) ).
fof(f719,plain,
( spl0_36
<=> ! [X3,X14] : ~ c_List_Olist__ex(X14,c_List_Olist_ONil(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f366,axiom,
! [X3,X14] : ~ c_List_Olist__ex(X14,c_List_Olist_ONil(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__ex_Osimps_I1_J_0) ).
fof(f717,plain,
spl0_35,
inference(avatar_split_clause,[],[f364,f715]) ).
fof(f715,plain,
( spl0_35
<=> ! [X3,X14] : c_List_Olist__all(X14,c_List_Olist_ONil(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f364,axiom,
! [X3,X14] : c_List_Olist__all(X14,c_List_Olist_ONil(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I1_J_0) ).
fof(f713,plain,
spl0_34,
inference(avatar_split_clause,[],[f311,f711]) ).
fof(f711,plain,
( spl0_34
<=> ! [X0,X3] : c_List_Odistinct(c_List_Oremdups(X0,X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f311,axiom,
! [X3,X0] : c_List_Odistinct(c_List_Oremdups(X0,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).
fof(f709,plain,
spl0_33,
inference(avatar_split_clause,[],[f123,f707]) ).
fof(f707,plain,
( spl0_33
<=> ! [X45,X44] : c_Lambda_OdB_OVar(X44) != c_Lambda_OdB_OAbs(X45) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f123,axiom,
! [X44,X45] : c_Lambda_OdB_OVar(X44) != c_Lambda_OdB_OAbs(X45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dB_Osimps_I6_J_0) ).
fof(f705,plain,
spl0_32,
inference(avatar_split_clause,[],[f86,f703]) ).
fof(f703,plain,
( spl0_32
<=> ! [X4] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f86,axiom,
! [X4] : c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le0_0) ).
fof(f701,plain,
spl0_31,
inference(avatar_split_clause,[],[f483,f699]) ).
fof(f699,plain,
( spl0_31
<=> ! [X2,X3] : c_fequal(X2,X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f483,axiom,
! [X2,X3] : c_fequal(X2,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f697,plain,
spl0_30,
inference(avatar_split_clause,[],[f451,f694]) ).
fof(f694,plain,
( spl0_30
<=> hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f451,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).
fof(f692,plain,
spl0_29,
inference(avatar_split_clause,[],[f426,f689]) ).
fof(f689,plain,
( spl0_29
<=> hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f426,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_ua______)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Var_I3_J_0) ).
fof(f687,plain,
spl0_28,
inference(avatar_split_clause,[],[f367,f685]) ).
fof(f685,plain,
( spl0_28
<=> ! [X3] : c_List_Onull(c_List_Olist_ONil(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f367,axiom,
! [X3] : c_List_Onull(c_List_Olist_ONil(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__null_0) ).
fof(f683,plain,
spl0_27,
inference(avatar_split_clause,[],[f288,f681]) ).
fof(f681,plain,
( spl0_27
<=> ! [X9,X1] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f288,axiom,
! [X1,X9] : ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X1),X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_beta__cases_I1_J_0) ).
fof(f679,plain,
spl0_26,
inference(avatar_split_clause,[],[f244,f677]) ).
fof(f677,plain,
( spl0_26
<=> ! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f244,axiom,
! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).
fof(f675,plain,
spl0_25,
inference(avatar_split_clause,[],[f22,f673]) ).
fof(f673,plain,
( spl0_25
<=> ! [X2] : c_lessequals(X2,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f22,axiom,
! [X2] : c_lessequals(X2,X2,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
fof(f671,plain,
~ spl0_24,
inference(avatar_split_clause,[],[f442,f668]) ).
fof(f668,plain,
( spl0_24
<=> v_n____ = v_i____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f442,axiom,
v_n____ != v_i____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_False_0) ).
fof(f666,plain,
spl0_23,
inference(avatar_split_clause,[],[f480,f663]) ).
fof(f663,plain,
( spl0_23
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f480,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
fof(f661,plain,
spl0_22,
inference(avatar_split_clause,[],[f479,f658]) ).
fof(f658,plain,
( spl0_22
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f479,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).
fof(f656,plain,
spl0_21,
inference(avatar_split_clause,[],[f478,f653]) ).
fof(f653,plain,
( spl0_21
<=> class_Orderings_Oorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f478,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).
fof(f651,plain,
spl0_20,
inference(avatar_split_clause,[],[f477,f648]) ).
fof(f648,plain,
( spl0_20
<=> class_Divides_Oring__div(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f477,axiom,
class_Divides_Oring__div(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Oring__div) ).
fof(f646,plain,
spl0_19,
inference(avatar_split_clause,[],[f476,f643]) ).
fof(f643,plain,
( spl0_19
<=> class_Lattices_Olattice(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f476,axiom,
class_Lattices_Olattice(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Lattices_Olattice) ).
fof(f641,plain,
spl0_18,
inference(avatar_split_clause,[],[f475,f638]) ).
fof(f638,plain,
( spl0_18
<=> class_Orderings_Olinorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f475,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).
fof(f636,plain,
spl0_17,
inference(avatar_split_clause,[],[f474,f633]) ).
fof(f633,plain,
( spl0_17
<=> class_Orderings_Opreorder(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f474,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).
fof(f631,plain,
spl0_16,
inference(avatar_split_clause,[],[f473,f628]) ).
fof(f628,plain,
( spl0_16
<=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f473,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).
fof(f626,plain,
spl0_15,
inference(avatar_split_clause,[],[f472,f623]) ).
fof(f623,plain,
( spl0_15
<=> class_Divides_Osemiring__div(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f472,axiom,
class_Divides_Osemiring__div(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Divides_Osemiring__div) ).
fof(f621,plain,
spl0_14,
inference(avatar_split_clause,[],[f471,f618]) ).
fof(f618,plain,
( spl0_14
<=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f471,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).
fof(f616,plain,
spl0_13,
inference(avatar_split_clause,[],[f470,f613]) ).
fof(f613,plain,
( spl0_13
<=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f470,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).
fof(f611,plain,
spl0_12,
inference(avatar_split_clause,[],[f469,f608]) ).
fof(f608,plain,
( spl0_12
<=> class_Lattices_Olower__semilattice(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f469,axiom,
class_Lattices_Olower__semilattice(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Lattices_Olower__semilattice) ).
fof(f606,plain,
spl0_11,
inference(avatar_split_clause,[],[f468,f603]) ).
fof(f603,plain,
( spl0_11
<=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f468,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).
fof(f601,plain,
spl0_10,
inference(avatar_split_clause,[],[f467,f598]) ).
fof(f598,plain,
( spl0_10
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f467,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
fof(f596,plain,
spl0_9,
inference(avatar_split_clause,[],[f466,f593]) ).
fof(f593,plain,
( spl0_9
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f466,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f591,plain,
spl0_8,
inference(avatar_split_clause,[],[f465,f588]) ).
fof(f588,plain,
( spl0_8
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f465,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
fof(f586,plain,
spl0_7,
inference(avatar_split_clause,[],[f464,f583]) ).
fof(f583,plain,
( spl0_7
<=> class_Lattices_Olower__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f464,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
fof(f581,plain,
spl0_6,
inference(avatar_split_clause,[],[f463,f578]) ).
fof(f578,plain,
( spl0_6
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f463,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f576,plain,
spl0_5,
inference(avatar_split_clause,[],[f462,f573]) ).
fof(f573,plain,
( spl0_5
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f462,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
fof(f571,plain,
spl0_4,
inference(avatar_split_clause,[],[f461,f568]) ).
fof(f568,plain,
( spl0_4
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f461,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f566,plain,
spl0_3,
inference(avatar_split_clause,[],[f460,f563]) ).
fof(f563,plain,
( spl0_3
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f460,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f561,plain,
spl0_2,
inference(avatar_split_clause,[],[f459,f558]) ).
fof(f558,plain,
( spl0_2
<=> class_Divides_Osemiring__div(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f459,axiom,
class_Divides_Osemiring__div(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
fof(f556,plain,
spl0_1,
inference(avatar_split_clause,[],[f458,f553]) ).
fof(f553,plain,
( spl0_1
<=> class_Lattices_Olower__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f458,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL825-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 13:26:50 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (24411)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (24423)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (24422)WARNING: value z3 for option sas not known
% 0.15/0.39 % (24419)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (24420)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (24422)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (24424)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (24425)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (24426)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.41 % (24424)First to succeed.
% 0.21/0.41 % (24424)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24411"
% 0.21/0.41 % (24425)Also succeeded, but the first one will report.
% 0.21/0.41 % (24424)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (24424)------------------------------
% 0.21/0.41 % (24424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (24424)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (24424)Memory used [KB]: 1420
% 0.21/0.41 % (24424)Time elapsed: 0.022 s
% 0.21/0.41 % (24424)Instructions burned: 35 (million)
% 0.21/0.41 % (24411)Success in time 0.057 s
%------------------------------------------------------------------------------