TSTP Solution File: SWV861-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV861-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Sat Sep 2 13:59:54 EDT 2023
% Result : Unsatisfiable 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 110
% Syntax : Number of formulae : 177 ( 91 unt; 0 def)
% Number of atoms : 306 ( 12 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 222 ( 93 ~; 73 |; 0 &)
% ( 56 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 76 ( 74 usr; 57 prp; 0-4 aty)
% Number of functors : 25 ( 25 usr; 15 con; 0-3 aty)
% Number of variables : 135 (; 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f913,plain,
$false,
inference(avatar_sat_refutation,[],[f666,f671,f676,f681,f686,f691,f696,f701,f706,f711,f716,f721,f726,f731,f736,f741,f746,f751,f756,f761,f766,f771,f776,f780,f784,f788,f792,f796,f800,f805,f809,f813,f817,f821,f825,f829,f833,f837,f841,f845,f849,f853,f857,f861,f866,f870,f874,f878,f882,f886,f890,f894,f898,f902,f906,f910,f912]) ).
fof(f912,plain,
( spl0_4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f911,f904,f668,f663,f678]) ).
fof(f678,plain,
( spl0_4
<=> hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f663,plain,
( spl0_1
<=> c_Natural_Oevaln(v_c,v_s,v_n,v_s1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f668,plain,
( spl0_2
<=> c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f904,plain,
( spl0_55
<=> ! [X0,X1] :
( ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| ~ c_Natural_Oevaln(v_d,X0,v_n,X1)
| hBOOL(hAPP(hAPP(v_R,v_Z),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f911,plain,
( ~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1)
| hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))
| ~ spl0_2
| ~ spl0_55 ),
inference(resolution,[],[f905,f670]) ).
fof(f670,plain,
( c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f905,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevaln(v_d,X0,v_n,X1)
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| hBOOL(hAPP(hAPP(v_R,v_Z),X1)) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f910,plain,
spl0_56,
inference(avatar_split_clause,[],[f585,f908]) ).
fof(f908,plain,
( spl0_56
<=> ! [X82,X81] :
( ~ class_HOL_Oord(X82)
| class_HOL_Oord(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f585,axiom,
! [X82,X81] :
( ~ class_HOL_Oord(X82)
| class_HOL_Oord(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__HOL_Oord) ).
fof(f906,plain,
( spl0_55
| ~ spl0_29
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f862,f823,f798,f904]) ).
fof(f798,plain,
( spl0_29
<=> ! [X32,X72,X80] :
( ~ c_Natural_Oevaln(v_d,X32,v_n,X72)
| ~ hBOOL(hAPP(hAPP(v_Q,X80),X32))
| hBOOL(hAPP(hAPP(v_R,X80),X72)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f823,plain,
( spl0_35
<=> ! [X0] :
( ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| hBOOL(hAPP(hAPP(v_Q,v_Z),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f862,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| ~ c_Natural_Oevaln(v_d,X0,v_n,X1)
| hBOOL(hAPP(hAPP(v_R,v_Z),X1)) )
| ~ spl0_29
| ~ spl0_35 ),
inference(resolution,[],[f824,f799]) ).
fof(f799,plain,
( ! [X72,X80,X32] :
( ~ hBOOL(hAPP(hAPP(v_Q,X80),X32))
| ~ c_Natural_Oevaln(v_d,X32,v_n,X72)
| hBOOL(hAPP(hAPP(v_R,X80),X72)) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f824,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_Q,v_Z),X0))
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f902,plain,
spl0_54,
inference(avatar_split_clause,[],[f584,f900]) ).
fof(f900,plain,
( spl0_54
<=> ! [X82,X81] :
( ~ class_Orderings_Obot(X82)
| class_Orderings_Obot(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f584,axiom,
! [X82,X81] :
( ~ class_Orderings_Obot(X82)
| class_Orderings_Obot(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Orderings_Obot) ).
fof(f898,plain,
spl0_53,
inference(avatar_split_clause,[],[f583,f896]) ).
fof(f896,plain,
( spl0_53
<=> ! [X82,X81] :
( ~ class_Orderings_Oorder(X82)
| class_Orderings_Oorder(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f583,axiom,
! [X82,X81] :
( ~ class_Orderings_Oorder(X82)
| class_Orderings_Oorder(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Orderings_Oorder) ).
fof(f894,plain,
spl0_52,
inference(avatar_split_clause,[],[f582,f892]) ).
fof(f892,plain,
( spl0_52
<=> ! [X82,X81] :
( ~ class_Lattices_Olattice(X82)
| class_Lattices_Olattice(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f582,axiom,
! [X82,X81] :
( ~ class_Lattices_Olattice(X82)
| class_Lattices_Olattice(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Lattices_Olattice) ).
fof(f890,plain,
spl0_51,
inference(avatar_split_clause,[],[f581,f888]) ).
fof(f888,plain,
( spl0_51
<=> ! [X82,X81] :
( ~ class_Orderings_Opreorder(X82)
| class_Orderings_Opreorder(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f581,axiom,
! [X82,X81] :
( ~ class_Orderings_Opreorder(X82)
| class_Orderings_Opreorder(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Orderings_Opreorder) ).
fof(f886,plain,
spl0_50,
inference(avatar_split_clause,[],[f580,f884]) ).
fof(f884,plain,
( spl0_50
<=> ! [X82,X81] :
( ~ class_Lattices_Obounded__lattice(X82)
| class_Lattices_Obounded__lattice(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f580,axiom,
! [X82,X81] :
( ~ class_Lattices_Obounded__lattice(X82)
| class_Lattices_Obounded__lattice(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f882,plain,
spl0_49,
inference(avatar_split_clause,[],[f579,f880]) ).
fof(f880,plain,
( spl0_49
<=> ! [X82,X81] :
( ~ class_Lattices_Odistrib__lattice(X82)
| class_Lattices_Odistrib__lattice(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f579,axiom,
! [X82,X81] :
( ~ class_Lattices_Odistrib__lattice(X82)
| class_Lattices_Odistrib__lattice(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Lattices_Odistrib__lattice) ).
fof(f878,plain,
spl0_48,
inference(avatar_split_clause,[],[f578,f876]) ).
fof(f876,plain,
( spl0_48
<=> ! [X82,X81] :
( ~ class_Lattices_Olattice(X82)
| class_Lattices_Olower__semilattice(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f578,axiom,
! [X82,X81] :
( ~ class_Lattices_Olattice(X82)
| class_Lattices_Olower__semilattice(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Lattices_Olower__semilattice) ).
fof(f874,plain,
spl0_47,
inference(avatar_split_clause,[],[f577,f872]) ).
fof(f872,plain,
( spl0_47
<=> ! [X82,X81] :
( ~ class_Lattices_Olattice(X82)
| class_Lattices_Oupper__semilattice(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f577,axiom,
! [X82,X81] :
( ~ class_Lattices_Olattice(X82)
| class_Lattices_Oupper__semilattice(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f870,plain,
spl0_46,
inference(avatar_split_clause,[],[f576,f868]) ).
fof(f868,plain,
( spl0_46
<=> ! [X82,X81] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X82)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X81,X82)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f576,axiom,
! [X82,X81] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X82)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X81,X82)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
fof(f866,plain,
spl0_45,
inference(avatar_split_clause,[],[f431,f864]) ).
fof(f864,plain,
( spl0_45
<=> ! [X6,X2] :
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X6,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f431,axiom,
! [X2,X6] :
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X6,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_order__eq__refl_0) ).
fof(f861,plain,
spl0_44,
inference(avatar_split_clause,[],[f430,f859]) ).
fof(f859,plain,
( spl0_44
<=> ! [X6,X2] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X6,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f430,axiom,
! [X2,X6] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X6,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_order__eq__iff_0) ).
fof(f857,plain,
spl0_43,
inference(avatar_split_clause,[],[f333,f855]) ).
fof(f855,plain,
( spl0_43
<=> ! [X30,X36,X35] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X30,X35,X36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f333,axiom,
! [X36,X35,X30] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(X30,X35,X36),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_com_Osimps_I15_J_0) ).
fof(f853,plain,
spl0_42,
inference(avatar_split_clause,[],[f283,f851]) ).
fof(f851,plain,
( spl0_42
<=> ! [X2,X15] : hAPP(c_COMBI(X2),X15) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f283,axiom,
! [X2,X15] : hAPP(c_COMBI(X2),X15) = X15,
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_COMBI__def_0) ).
fof(f849,plain,
spl0_41,
inference(avatar_split_clause,[],[f247,f847]) ).
fof(f847,plain,
( spl0_41
<=> ! [X6,X2] :
( ~ class_Orderings_Opreorder(X2)
| ~ c_HOL_Oord__class_Oless(X6,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f247,axiom,
! [X2,X6] :
( ~ class_Orderings_Opreorder(X2)
| ~ c_HOL_Oord__class_Oless(X6,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_order__less__irrefl_0) ).
fof(f845,plain,
spl0_40,
inference(avatar_split_clause,[],[f246,f843]) ).
fof(f843,plain,
( spl0_40
<=> ! [X6,X2] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X6,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f246,axiom,
! [X2,X6] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X6,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_linorder__neq__iff_1) ).
fof(f841,plain,
spl0_39,
inference(avatar_split_clause,[],[f245,f839]) ).
fof(f839,plain,
( spl0_39
<=> ! [X6,X2] :
( ~ class_Orderings_Oorder(X2)
| ~ c_HOL_Oord__class_Oless(X6,X6,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f245,axiom,
! [X2,X6] :
( ~ class_Orderings_Oorder(X2)
| ~ c_HOL_Oord__class_Oless(X6,X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_order__less__le_1) ).
fof(f837,plain,
spl0_38,
inference(avatar_split_clause,[],[f244,f835]) ).
fof(f835,plain,
( spl0_38
<=> ! [X6,X2] : ~ c_HOL_Oord__class_Oless(X6,X6,tc_fun(X2,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f244,axiom,
! [X2,X6] : ~ c_HOL_Oord__class_Oless(X6,X6,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_psubset__eq_1) ).
fof(f833,plain,
spl0_37,
inference(avatar_split_clause,[],[f203,f831]) ).
fof(f831,plain,
( spl0_37
<=> ! [X2,X0] : c_Fun_Oinj__on(c_COMBI(X2),X0,X2,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f203,axiom,
! [X2,X0] : c_Fun_Oinj__on(c_COMBI(X2),X0,X2,X2),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_inj__on__id2_0) ).
fof(f829,plain,
spl0_36,
inference(avatar_split_clause,[],[f34,f827]) ).
fof(f827,plain,
( spl0_36
<=> ! [X2,X0] : c_lessequals(X0,X0,tc_fun(X2,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f34,axiom,
! [X2,X0] : c_lessequals(X0,X0,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_subset__refl_0) ).
fof(f825,plain,
( spl0_35
| ~ spl0_3
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f801,f794,f673,f823]) ).
fof(f673,plain,
( spl0_3
<=> hBOOL(hAPP(hAPP(v_P,v_Z),v_s)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f794,plain,
( spl0_28
<=> ! [X32,X72,X80] :
( ~ c_Natural_Oevaln(v_c,X32,v_n,X72)
| ~ hBOOL(hAPP(hAPP(v_P,X80),X32))
| hBOOL(hAPP(hAPP(v_Q,X80),X72)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f801,plain,
( ! [X0] :
( ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| hBOOL(hAPP(hAPP(v_Q,v_Z),X0)) )
| ~ spl0_3
| ~ spl0_28 ),
inference(resolution,[],[f795,f675]) ).
fof(f675,plain,
( hBOOL(hAPP(hAPP(v_P,v_Z),v_s))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f795,plain,
( ! [X72,X80,X32] :
( ~ hBOOL(hAPP(hAPP(v_P,X80),X32))
| ~ c_Natural_Oevaln(v_c,X32,v_n,X72)
| hBOOL(hAPP(hAPP(v_Q,X80),X72)) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f821,plain,
spl0_34,
inference(avatar_split_clause,[],[f539,f819]) ).
fof(f819,plain,
( spl0_34
<=> ! [X48,X32] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,X32,X48,X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f539,axiom,
! [X48,X32] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,X32,X48,X32),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_evaln_OSkip_0) ).
fof(f817,plain,
spl0_33,
inference(avatar_split_clause,[],[f409,f815]) ).
fof(f815,plain,
( spl0_33
<=> ! [X48] : ~ c_lessequals(c_Suc(X48),X48,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f409,axiom,
! [X48] : ~ c_lessequals(c_Suc(X48),X48,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_Suc__n__not__le__n_0) ).
fof(f813,plain,
spl0_32,
inference(avatar_split_clause,[],[f404,f811]) ).
fof(f811,plain,
( spl0_32
<=> ! [X36,X35] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X35,X36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f404,axiom,
! [X36,X35] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X35,X36),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_com_Osimps_I13_J_0) ).
fof(f809,plain,
spl0_31,
inference(avatar_split_clause,[],[f234,f807]) ).
fof(f807,plain,
( spl0_31
<=> ! [X30,X31] : c_Com_Ocom_OWhile(X30,X31) != c_Com_Ocom_OSKIP ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f234,axiom,
! [X31,X30] : c_Com_Ocom_OWhile(X30,X31) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_com_Osimps_I16_J_0) ).
fof(f805,plain,
spl0_30,
inference(avatar_split_clause,[],[f194,f803]) ).
fof(f803,plain,
( spl0_30
<=> ! [X2,X15] : c_Collect(X15,X2) = X15 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f194,axiom,
! [X2,X15] : c_Collect(X15,X2) = X15,
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_Collect__def_0) ).
fof(f800,plain,
spl0_29,
inference(avatar_split_clause,[],[f575,f798]) ).
fof(f575,axiom,
! [X72,X80,X32] :
( ~ c_Natural_Oevaln(v_d,X32,v_n,X72)
| ~ hBOOL(hAPP(hAPP(v_Q,X80),X32))
| hBOOL(hAPP(hAPP(v_R,X80),X72)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_6) ).
fof(f796,plain,
spl0_28,
inference(avatar_split_clause,[],[f574,f794]) ).
fof(f574,axiom,
! [X72,X80,X32] :
( ~ c_Natural_Oevaln(v_c,X32,v_n,X72)
| ~ hBOOL(hAPP(hAPP(v_P,X80),X32))
| hBOOL(hAPP(hAPP(v_Q,X80),X72)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_5) ).
fof(f792,plain,
spl0_27,
inference(avatar_split_clause,[],[f429,f790]) ).
fof(f790,plain,
( spl0_27
<=> ! [X6] : c_lessequals(X6,X6,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f429,axiom,
! [X6] : c_lessequals(X6,X6,tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_eq__imp__le_0) ).
fof(f788,plain,
spl0_26,
inference(avatar_split_clause,[],[f418,f786]) ).
fof(f786,plain,
( spl0_26
<=> ! [X48] : c_Suc(X48) != X48 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f418,axiom,
! [X48] : c_Suc(X48) != X48,
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_Suc__n__not__n_0) ).
fof(f784,plain,
spl0_25,
inference(avatar_split_clause,[],[f249,f782]) ).
fof(f782,plain,
( spl0_25
<=> ! [X32] : c_Natural_Oevalc(c_Com_Ocom_OSKIP,X32,X32) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f249,axiom,
! [X32] : c_Natural_Oevalc(c_Com_Ocom_OSKIP,X32,X32),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_evalc_OSkip_0) ).
fof(f780,plain,
spl0_24,
inference(avatar_split_clause,[],[f573,f778]) ).
fof(f778,plain,
( spl0_24
<=> ! [X6] :
( c_Hoare__Mirabelle_Otriple__valid(v_n,X6,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X6),v_Ga)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f573,axiom,
! [X6] :
( c_Hoare__Mirabelle_Otriple__valid(v_n,X6,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X6),v_Ga)) ),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_4) ).
fof(f776,plain,
spl0_23,
inference(avatar_split_clause,[],[f604,f773]) ).
fof(f773,plain,
( spl0_23
<=> class_HOL_Oord(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f604,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__HOL_Oord) ).
fof(f771,plain,
spl0_22,
inference(avatar_split_clause,[],[f603,f768]) ).
fof(f768,plain,
( spl0_22
<=> class_Orderings_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f603,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Orderings_Obot) ).
fof(f766,plain,
spl0_21,
inference(avatar_split_clause,[],[f602,f763]) ).
fof(f763,plain,
( spl0_21
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f602,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Orderings_Oorder) ).
fof(f761,plain,
spl0_20,
inference(avatar_split_clause,[],[f601,f758]) ).
fof(f758,plain,
( spl0_20
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f601,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Lattices_Olattice) ).
fof(f756,plain,
spl0_19,
inference(avatar_split_clause,[],[f600,f753]) ).
fof(f753,plain,
( spl0_19
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f600,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Orderings_Opreorder) ).
fof(f751,plain,
spl0_18,
inference(avatar_split_clause,[],[f599,f748]) ).
fof(f748,plain,
( spl0_18
<=> class_Lattices_Obounded__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f599,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f746,plain,
spl0_17,
inference(avatar_split_clause,[],[f598,f743]) ).
fof(f743,plain,
( spl0_17
<=> class_Lattices_Odistrib__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f598,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Lattices_Odistrib__lattice) ).
fof(f741,plain,
spl0_16,
inference(avatar_split_clause,[],[f597,f738]) ).
fof(f738,plain,
( spl0_16
<=> class_Lattices_Olower__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f597,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Lattices_Olower__semilattice) ).
fof(f736,plain,
spl0_15,
inference(avatar_split_clause,[],[f596,f733]) ).
fof(f733,plain,
( spl0_15
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f596,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f731,plain,
spl0_14,
inference(avatar_split_clause,[],[f595,f728]) ).
fof(f728,plain,
( spl0_14
<=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f595,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
fof(f726,plain,
spl0_13,
inference(avatar_split_clause,[],[f594,f723]) ).
fof(f723,plain,
( spl0_13
<=> class_HOL_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f594,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__HOL_Oord) ).
fof(f721,plain,
spl0_12,
inference(avatar_split_clause,[],[f593,f718]) ).
fof(f718,plain,
( spl0_12
<=> class_Orderings_Obot(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f593,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Orderings_Obot) ).
fof(f716,plain,
spl0_11,
inference(avatar_split_clause,[],[f592,f713]) ).
fof(f713,plain,
( spl0_11
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f592,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Orderings_Oorder) ).
fof(f711,plain,
spl0_10,
inference(avatar_split_clause,[],[f591,f708]) ).
fof(f708,plain,
( spl0_10
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f591,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Lattices_Olattice) ).
fof(f706,plain,
spl0_9,
inference(avatar_split_clause,[],[f590,f703]) ).
fof(f703,plain,
( spl0_9
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f590,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Orderings_Olinorder) ).
fof(f701,plain,
spl0_8,
inference(avatar_split_clause,[],[f589,f698]) ).
fof(f698,plain,
( spl0_8
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f589,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Orderings_Opreorder) ).
fof(f696,plain,
spl0_7,
inference(avatar_split_clause,[],[f588,f693]) ).
fof(f693,plain,
( spl0_7
<=> class_Lattices_Odistrib__lattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f588,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Lattices_Odistrib__lattice) ).
fof(f691,plain,
spl0_6,
inference(avatar_split_clause,[],[f587,f688]) ).
fof(f688,plain,
( spl0_6
<=> class_Lattices_Olower__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f587,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Lattices_Olower__semilattice) ).
fof(f686,plain,
spl0_5,
inference(avatar_split_clause,[],[f586,f683]) ).
fof(f683,plain,
( spl0_5
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f586,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(f681,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f572,f678]) ).
fof(f572,axiom,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_3) ).
fof(f676,plain,
spl0_3,
inference(avatar_split_clause,[],[f569,f673]) ).
fof(f569,axiom,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_0) ).
fof(f671,plain,
spl0_2,
inference(avatar_split_clause,[],[f571,f668]) ).
fof(f571,axiom,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_2) ).
fof(f666,plain,
spl0_1,
inference(avatar_split_clause,[],[f570,f663]) ).
fof(f570,axiom,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.16 % Problem : SWV861-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 17:50:39 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.21/0.43 % (14623)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (14626)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.46 % (14625)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.46 % (14628)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.46 % (14630)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.46 % (14624)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.46 % (14627)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.46 % (14629)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.48 % (14628)First to succeed.
% 0.21/0.48 % (14628)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48 % (14628)------------------------------
% 0.21/0.48 % (14628)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (14628)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (14628)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (14628)Memory used [KB]: 6524
% 0.21/0.48 % (14628)Time elapsed: 0.022 s
% 0.21/0.48 % (14628)------------------------------
% 0.21/0.48 % (14628)------------------------------
% 0.21/0.48 % (14623)Success in time 0.1 s
% 0.21/0.48 14626 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.U0l8WWiArb/Vampire---4.8_14517
% 0.21/0.48 % (14626)------------------------------
% 0.21/0.48 % (14626)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (14626)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (14626)Termination reason: Unknown
% 0.21/0.48 % (14626)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (14626)Memory used [KB]: 5884
% 0.21/0.48 % (14626)Time elapsed: 0.025 s
% 0.21/0.48 % (14626)------------------------------
% 0.21/0.48 % (14626)------------------------------
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------