TSTP Solution File: ITP011_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP011_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 06:47:21 EDT 2024
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 91
% Syntax : Number of formulae : 172 ( 12 unt; 75 typ; 0 def)
% Number of atoms : 322 ( 150 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 313 ( 88 ~; 110 |; 76 &)
% ( 20 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 73 ( 37 >; 36 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-5 aty)
% Number of functors : 66 ( 66 usr; 32 con; 0-5 aty)
% Number of variables : 210 ( 202 !; 8 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
u: $tType ).
tff(type_def_6,type,
d: $tType ).
tff(type_def_7,type,
du: $tType ).
tff(type_def_8,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(type_def_9,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_10,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(func_def_0,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_1,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_2,type,
tyop_2Eoption_2Eoption: d > d ).
tff(func_def_3,type,
s: ( d * u ) > du ).
tff(func_def_4,type,
app_2E2: ( du * du ) > u ).
tff(func_def_5,type,
combin_i_2E0: u ).
tff(func_def_6,type,
combin_k_2E0: u ).
tff(func_def_7,type,
combin_s_2E0: u ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_9,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_11,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_13,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_15,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_17,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_18,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_19,type,
c_2Eoption_2EIS__NONE_2E0: u ).
tff(func_def_20,type,
c_2Eoption_2EIS__NONE_2E1: du > u ).
tff(func_def_21,type,
c_2Eoption_2EIS__SOME_2E0: u ).
tff(func_def_22,type,
c_2Eoption_2EIS__SOME_2E1: du > u ).
tff(func_def_23,type,
c_2Eoption_2ENONE_2E0: u ).
tff(func_def_24,type,
c_2Eoption_2EOPTION__JOIN_2E0: u ).
tff(func_def_25,type,
c_2Eoption_2EOPTION__JOIN_2E1: du > u ).
tff(func_def_26,type,
c_2Eoption_2EOPTION__MAP_2E0: u ).
tff(func_def_27,type,
c_2Eoption_2EOPTION__MAP_2E2: ( du * du ) > u ).
tff(func_def_28,type,
c_2Eoption_2EOPTREL_2E0: u ).
tff(func_def_29,type,
c_2Eoption_2EOPTREL_2E3: ( du * du * du ) > u ).
tff(func_def_30,type,
c_2Eoption_2ESOME_2E0: u ).
tff(func_def_31,type,
c_2Eoption_2ESOME_2E1: du > u ).
tff(func_def_32,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_33,type,
c_2Eoption_2ETHE_2E0: u ).
tff(func_def_34,type,
c_2Eoption_2ETHE_2E1: du > u ).
tff(func_def_35,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_36,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_37,type,
c_2Eoption_2Eoption__CASE_2E0: u ).
tff(func_def_38,type,
c_2Eoption_2Eoption__CASE_2E3: ( du * du * du ) > u ).
tff(func_def_39,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_40,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_41,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_42,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_43,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_44,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_45,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_46,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_47,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_48,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_49,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_50,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_51,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_52,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_53,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_54,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_55,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_56,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_57,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_58,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_59,type,
sK0: d ).
tff(func_def_60,type,
sK1: u ).
tff(func_def_61,type,
sK2: u ).
tff(func_def_62,type,
sK3: u ).
tff(func_def_63,type,
sK4: ( d * d * u * u ) > u ).
tff(func_def_64,type,
sK6: ( d * d * u * u * u ) > u ).
tff(func_def_65,type,
sK7: ( d * d * u * u * u ) > u ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP5: ( u * u * u * d * d ) > $o ).
tff(pred_def_3,type,
sP8: ( u * u * d * u * d ) > $o ).
tff(f910,plain,
$false,
inference(avatar_sat_refutation,[],[f173,f187,f544,f595,f693,f792,f905]) ).
tff(f905,plain,
( ~ spl9_5
| ~ spl9_6 ),
inference(avatar_contradiction_clause,[],[f904]) ).
tff(f904,plain,
( $false
| ~ spl9_5
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f903,f143]) ).
tff(f143,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',reserved_2Eho_2Enotfalse) ).
tff(f903,plain,
( p(mono_2Ec_2Ebool_2EF_2E0)
| ~ spl9_5
| ~ spl9_6 ),
inference(forward_demodulation,[],[f902,f182]) ).
tff(f182,plain,
( ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f180,plain,
( spl9_5
<=> ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
tff(f902,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))))
| ~ spl9_6 ),
inference(forward_demodulation,[],[f901,f119]) ).
tff(f119,plain,
! [X0: d,X1: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1))) = s(tyop_2Eoption_2Eoption(X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0),s(X0,X1))) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: d,X1: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1))) = s(tyop_2Eoption_2Eoption(X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0),s(X0,X1))) ),
inference(rectify,[],[f34]) ).
tff(f34,axiom,
! [X1: d,X12: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X12))) = s(tyop_2Eoption_2Eoption(X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0),s(X1,X12))) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b) ).
tff(f901,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))))
| ~ spl9_6 ),
inference(forward_demodulation,[],[f898,f119]) ).
tff(f898,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK1)))))))
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f845,f94]) ).
tff(f94,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4)))))
| ~ sP5(X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4)))))
<=> ( ? [X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X1,X6)))))
& ( s(tyop_2Eoption_2Eoption(X1),X4) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X6))) )
& ( s(tyop_2Eoption_2Eoption(X0),X3) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5))) ) )
| ( ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),X4) )
& ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X3) ) ) ) ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X0: d,X1: d,X42: u,X11: u,X43: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X42),s(tyop_2Eoption_2Eoption(X0),X11),s(tyop_2Eoption_2Eoption(X1),X43)))))
<=> ( ? [X44: u,X45: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X42),s(X0,X44))),s(X1,X45)))))
& ( s(tyop_2Eoption_2Eoption(X1),X43) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X45))) )
& ( s(tyop_2Eoption_2Eoption(X0),X11) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X44))) ) )
| ( ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),X43) )
& ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X11) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',thm_2Eoption_2EOPTREL__def) ).
tff(f845,plain,
( sP5(app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK1)),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK2)),sK3,sK0,sK0)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f119,f838,f154]) ).
tff(f154,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u,X5: u] :
( ( s(tyop_2Eoption_2Eoption(X0),X3) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5))) )
| sP5(X4,X3,X2,X1,X0)
| sP8(X2,X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f154_D]) ).
tff(f154_D,plain,
! [X1,X5,X0,X4,X2] :
( ! [X3] :
( ( s(tyop_2Eoption_2Eoption(X0),X3) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5))) )
| sP5(X4,X3,X2,X1,X0) )
<=> ~ sP8(X2,X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
tff(f838,plain,
( ~ sP8(sK3,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK1)),sK0,sK2,sK0)
| ~ spl9_6 ),
inference(unit_resulting_resolution,[],[f119,f822]) ).
tff(f822,plain,
( ! [X0: u] :
( ~ sP8(sK3,X0,sK0,sK2,sK0)
| ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))) != s(tyop_2Eoption_2Eoption(sK0),X0) ) )
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f821,f147]) ).
tff(f147,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',reserved_2Eho_2Etruth) ).
tff(f821,plain,
( ! [X0: u] :
( ~ p(mono_2Ec_2Ebool_2ET_2E0)
| ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))) != s(tyop_2Eoption_2Eoption(sK0),X0) )
| ~ sP8(sK3,X0,sK0,sK2,sK0) )
| ~ spl9_6 ),
inference(superposition,[],[f155,f185]) ).
tff(f185,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) )
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f184]) ).
tff(f184,plain,
( spl9_6
<=> ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
tff(f155,plain,
! [X2: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X1,X6)))))
| ( s(tyop_2Eoption_2Eoption(X1),X4) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X6))) )
| ~ sP8(X2,X4,X0,X5,X1) ),
inference(general_splitting,[],[f87,f154_D]) ).
tff(f87,plain,
! [X2: u,X3: u,X0: d,X1: d,X6: u,X4: u,X5: u] :
( ( s(tyop_2Eoption_2Eoption(X0),X3) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5))) )
| ( s(tyop_2Eoption_2Eoption(X1),X4) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X6))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X1,X6)))))
| sP5(X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f792,plain,
spl9_3,
inference(avatar_contradiction_clause,[],[f791]) ).
tff(f791,plain,
( $false
| spl9_3 ),
inference(subsumption_resolution,[],[f787,f106]) ).
tff(f106,plain,
! [X0: d,X24: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24))) ),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ! [X5: u] : ( s(tyop_2Eoption_2Eoption(X0),X5) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X0),X5))))) )
& ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ENONE_2E0))) )
& ! [X6: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X6),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) )
& ! [X7: u,X8: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X8))))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(X0,X8))))) )
& ! [X9: u,X10: u,X11: u] : ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X9))),s(X1,X10),s(tyop_2Emin_2Efun(X0,X1),X11))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X9))) )
& ! [X12: u,X13: u] : ( s(X1,X12) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(X1,X12),s(tyop_2Emin_2Efun(X0,X1),X13))) )
& ! [X14: u] :
( ( s(tyop_2Eoption_2Eoption(X0),X14) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X14),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X14))))) )
& ! [X15: u] :
( ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X15),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X15))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X15))))) )
& ! [X16: u] :
( ( s(X1,X4) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X16),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X16))))) )
& ! [X17: u] : ( s(tyop_2Eoption_2Eoption(X0),X17) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
& ! [X18: u] : ( s(tyop_2Eoption_2Eoption(X0),X18) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X18),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
& ! [X19: u] :
( ( s(tyop_2Eoption_2Eoption(X0),X19) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X19))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X19))))) )
& ! [X20: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X20)))))
<=> ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X20) ) )
& ! [X21: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X21)))))
<=> ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X21) ) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
& ! [X22: u] : ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))))) )
& ! [X23: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23))) )
& ! [X24: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24))) )
& ! [X25: u] : ( s(X0,X25) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X25))))) )
& ! [X26: u,X27: u] :
( ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X26))) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X27))) )
<=> ( s(X0,X26) = s(X0,X27) ) ) ),
inference(ennf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ! [X5: u] : ( s(tyop_2Eoption_2Eoption(X0),X5) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X0),X5))))) )
& ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ENONE_2E0))) )
& ! [X6: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X6),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) )
& ! [X7: u,X8: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X8))))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(X0,X8))))) )
& ! [X9: u,X10: u,X11: u] : ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X9))),s(X1,X10),s(tyop_2Emin_2Efun(X0,X1),X11))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X9))) )
& ! [X12: u,X13: u] : ( s(X1,X12) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(X1,X12),s(tyop_2Emin_2Efun(X0,X1),X13))) )
& ! [X14: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X14)))))
=> ( s(tyop_2Eoption_2Eoption(X0),X14) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X14),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) ) )
& ! [X15: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X15)))))
=> ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X15),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X15))))) ) )
& ! [X16: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X16)))))
=> ( s(X1,X4) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X16),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) ) )
& ! [X17: u] : ( s(tyop_2Eoption_2Eoption(X0),X17) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
& ! [X18: u] : ( s(tyop_2Eoption_2Eoption(X0),X18) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X18),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
& ! [X19: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X19)))))
=> ( s(tyop_2Eoption_2Eoption(X0),X19) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X19))))) ) )
& ! [X20: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X20)))))
<=> ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X20) ) )
& ! [X21: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X21)))))
<=> ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X21) ) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
& ! [X22: u] : ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))))) )
& ! [X23: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23))) )
& ! [X24: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24))) )
& ! [X25: u] : ( s(X0,X25) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X25))))) )
& ! [X26: u,X27: u] :
( ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X26))) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X27))) )
<=> ( s(X0,X26) = s(X0,X27) ) ) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X0: d,X1: d,X2: u,X17: u,X18: u] :
( ! [X41: u] : ( s(tyop_2Eoption_2Eoption(X0),X41) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X0),X41))))) )
& ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ENONE_2E0))) )
& ! [X40: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X40),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X38: u,X39: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X38),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X39))))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X38),s(X0,X39))))) )
& ! [X35: u,X36: u,X37: u] : ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X35))),s(X1,X36),s(tyop_2Emin_2Efun(X0,X1),X37))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X37),s(X0,X35))) )
& ! [X33: u,X34: u] : ( s(X1,X33) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(X1,X33),s(tyop_2Emin_2Efun(X0,X1),X34))) )
& ! [X32: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X32)))))
=> ( s(tyop_2Eoption_2Eoption(X0),X32) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X32),s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) ) )
& ! [X31: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X31)))))
=> ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X31),s(X1,X18),s(tyop_2Emin_2Efun(X0,X1),X2))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X31))))) ) )
& ! [X30: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X30)))))
=> ( s(X1,X18) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X30),s(X1,X18),s(tyop_2Emin_2Efun(X0,X1),X2))) ) )
& ! [X29: u] : ( s(tyop_2Eoption_2Eoption(X0),X29) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X29),s(tyop_2Eoption_2Eoption(X0),X29),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
& ! [X28: u] : ( s(tyop_2Eoption_2Eoption(X0),X28) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X28),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
& ! [X27: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X27)))))
=> ( s(tyop_2Eoption_2Eoption(X0),X27) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X27))))) ) )
& ! [X26: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X26)))))
<=> ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X26) ) )
& ! [X25: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X25)))))
<=> ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X25) ) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
& ! [X24: u] : ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))))) )
& ! [X23: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23))) )
& ! [X22: u] : ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22))) )
& ! [X21: u] : ( s(X0,X21) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X21))))) )
& ! [X19: u,X20: u] :
( ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X19))) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X20))) )
<=> ( s(X0,X19) = s(X0,X20) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',thm_2Eoption_2Eoption__CLAUSES) ).
tff(f787,plain,
( ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK7(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ENONE_2E0)))) )
| spl9_3 ),
inference(resolution,[],[f731,f89]) ).
tff(f89,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ~ sP5(X4,X3,X2,X1,X0)
| ( s(tyop_2Eoption_2Eoption(X1),X4) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,sK7(X0,X1,X2,X3,X4)))) ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f731,plain,
( sP5(c_2Eoption_2ENONE_2E0,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| spl9_3 ),
inference(unit_resulting_resolution,[],[f106,f711,f92]) ).
tff(f92,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4)))))
| sP5(X4,X3,X2,X1,X0)
| ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X3) ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f711,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))))
| spl9_3 ),
inference(unit_resulting_resolution,[],[f143,f168,f83]) ).
tff(f83,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| p(X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( ~ p(X0)
& p(X1) )
| ( ~ p(X1)
& p(X0) ) ),
inference(flattening,[],[f75]) ).
tff(f75,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( ~ p(X0)
& p(X1) )
| ( ~ p(X1)
& p(X0) ) ),
inference(ennf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0)
=> p(X1) )
=> ( ( p(X1)
=> p(X0) )
=> ( X0 = X1 ) ) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X15: mono_2Etyop_2Emin_2Ebool,X16: mono_2Etyop_2Emin_2Ebool] :
( ( p(X15)
=> p(X16) )
=> ( ( p(X16)
=> p(X15) )
=> ( X15 = X16 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',thm_2Ebool_2EIMP__ANTISYM__AX) ).
tff(f168,plain,
( ( mono_2Ec_2Ebool_2EF_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))) )
| spl9_3 ),
inference(avatar_component_clause,[],[f166]) ).
tff(f166,plain,
( spl9_3
<=> ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
tff(f693,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f692]) ).
tff(f692,plain,
( $false
| spl9_2 ),
inference(subsumption_resolution,[],[f687,f106]) ).
tff(f687,plain,
( ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0,c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| spl9_2 ),
inference(resolution,[],[f632,f88]) ).
tff(f88,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ~ sP5(X4,X3,X2,X1,X0)
| ( s(tyop_2Eoption_2Eoption(X0),X3) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,sK6(X0,X1,X2,X3,X4)))) ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f632,plain,
( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ENONE_2E0,sK3,sK0,sK0)
| spl9_2 ),
inference(unit_resulting_resolution,[],[f106,f612,f93]) ).
tff(f93,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4)))))
| sP5(X4,X3,X2,X1,X0)
| ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),X4) ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f612,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f143,f164,f83]) ).
tff(f164,plain,
( ( mono_2Ec_2Ebool_2EF_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| spl9_2 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f162,plain,
( spl9_2
<=> ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
tff(f595,plain,
spl9_4,
inference(avatar_contradiction_clause,[],[f594]) ).
tff(f594,plain,
( $false
| spl9_4 ),
inference(trivial_inequality_removal,[],[f593]) ).
tff(f593,plain,
( ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) )
| spl9_4 ),
inference(duplicate_literal_removal,[],[f584]) ).
tff(f584,plain,
( ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) )
| spl9_4 ),
inference(resolution,[],[f553,f91]) ).
tff(f91,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4)))))
| ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),X4) )
| ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),X3) ) ),
inference(cnf_transformation,[],[f59]) ).
tff(f553,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))))
| spl9_4 ),
inference(unit_resulting_resolution,[],[f147,f172,f82]) ).
tff(f82,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ~ p(X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f76]) ).
tff(f172,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))) )
| spl9_4 ),
inference(avatar_component_clause,[],[f170]) ).
tff(f170,plain,
( spl9_4
<=> ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
tff(f544,plain,
( spl9_1
| spl9_6 ),
inference(avatar_contradiction_clause,[],[f543]) ).
tff(f543,plain,
( $false
| spl9_1
| spl9_6 ),
inference(subsumption_resolution,[],[f542,f194]) ).
tff(f194,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))))
| spl9_6 ),
inference(unit_resulting_resolution,[],[f147,f186,f82]) ).
tff(f186,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) )
| spl9_6 ),
inference(avatar_component_clause,[],[f184]) ).
tff(f542,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))))
| spl9_1
| spl9_6 ),
inference(forward_demodulation,[],[f541,f336]) ).
tff(f336,plain,
( ( s(sK0,sK2) = s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))) )
| spl9_1
| spl9_6 ),
inference(unit_resulting_resolution,[],[f328,f104]) ).
tff(f104,plain,
! [X0: d,X26: u,X27: u] :
( ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X26))) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X27))) )
| ( s(X0,X26) = s(X0,X27) ) ),
inference(cnf_transformation,[],[f79]) ).
tff(f328,plain,
( ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| spl9_1
| spl9_6 ),
inference(unit_resulting_resolution,[],[f276,f88]) ).
tff(f276,plain,
( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| spl9_1
| spl9_6 ),
inference(unit_resulting_resolution,[],[f106,f219,f93]) ).
tff(f219,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))))
| spl9_1
| spl9_6 ),
inference(unit_resulting_resolution,[],[f160,f194,f84]) ).
tff(f84,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) ) ),
inference(ennf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0)
<=> p(X1) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool,X6: mono_2Etyop_2Emin_2Ebool] :
( ( p(X5)
<=> p(X6) )
=> ( X5 = X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',reserved_2Eho_2Eboolext) ).
tff(f160,plain,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) )
| spl9_1 ),
inference(avatar_component_clause,[],[f158]) ).
tff(f158,plain,
( spl9_1
<=> ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
tff(f541,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))),s(sK0,sK1)))))
| spl9_1
| spl9_6 ),
inference(subsumption_resolution,[],[f522,f276]) ).
tff(f522,plain,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))),s(sK0,sK1)))))
| ~ sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| spl9_1
| spl9_6 ),
inference(superposition,[],[f90,f436]) ).
tff(f436,plain,
( ( s(sK0,sK1) = s(sK0,sK7(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))) )
| spl9_1
| spl9_6 ),
inference(unit_resulting_resolution,[],[f329,f104]) ).
tff(f329,plain,
( ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK7(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| spl9_1
| spl9_6 ),
inference(unit_resulting_resolution,[],[f276,f89]) ).
tff(f90,plain,
! [X2: u,X3: u,X0: d,X1: d,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,sK6(X0,X1,X2,X3,X4)))),s(X1,sK7(X0,X1,X2,X3,X4))))))
| ~ sP5(X4,X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f187,plain,
( spl9_5
| ~ spl9_6
| spl9_1 ),
inference(avatar_split_clause,[],[f178,f158,f184,f180]) ).
tff(f178,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) )
| ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| spl9_1 ),
inference(superposition,[],[f160,f142]) ).
tff(f142,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
inference(cnf_transformation,[],[f69]) ).
tff(f69,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X7: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X7 )
| ( mono_2Ec_2Ebool_2ET_2E0 = X7 ) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',reserved_2Eho_2Ebool__cases__ax) ).
tff(f173,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f81,f170,f166,f162,f158]) ).
tff(f81,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))) )
| ( mono_2Ec_2Ebool_2EF_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))) )
| ( mono_2Ec_2Ebool_2EF_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))) ) ),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
? [X0: d,X1: u,X2: u,X3: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(X0,X2))),s(X0,X1)))) )
| ( mono_2Ec_2Ebool_2EF_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1)))))) )
| ( mono_2Ec_2Ebool_2EF_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
| ( mono_2Ec_2Ebool_2ET_2E0 != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) ) ),
inference(ennf_transformation,[],[f56]) ).
tff(f56,plain,
~ ! [X0: d,X1: u,X2: u,X3: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1)))))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(X0,X2))),s(X0,X1)))) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1)))))) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
& ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) ) ),
inference(rectify,[],[f55]) ).
tff(f55,negated_conjecture,
~ ! [X0: d,X46: u,X11: u,X47: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46)))))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(X0,X11))),s(X0,X46)))) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46)))))) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
& ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) ) ),
inference(negated_conjecture,[],[f54]) ).
tff(f54,conjecture,
! [X0: d,X46: u,X11: u,X47: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46)))))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(X0,X11))),s(X0,X46)))) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46)))))) )
& ( mono_2Ec_2Ebool_2EF_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) )
& ( mono_2Ec_2Ebool_2ET_2E0 = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510',thm_2Equotient__option_2EOPTION__REL__def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP011_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 19:17:53 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a TF0_THM_EQU_NAR problem
% 0.13/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.N5DiZqSCls/Vampire---4.8_10510
% 0.59/0.77 % (10619)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77 % (10622)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.77 % (10623)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77 % (10621)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.77 % (10626)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.77 % (10624)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.77 % (10625)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.77 % (10620)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.77 % (10626)Refutation not found, incomplete strategy% (10626)------------------------------
% 0.59/0.77 % (10626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (10626)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (10626)Memory used [KB]: 1151
% 0.59/0.77 % (10626)Time elapsed: 0.004 s
% 0.59/0.77 % (10626)Instructions burned: 7 (million)
% 0.59/0.77 % (10626)------------------------------
% 0.59/0.77 % (10626)------------------------------
% 0.59/0.77 % (10622)Refutation not found, incomplete strategy% (10622)------------------------------
% 0.59/0.77 % (10622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (10622)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (10622)Memory used [KB]: 1165
% 0.59/0.77 % (10622)Time elapsed: 0.005 s
% 0.59/0.77 % (10622)Instructions burned: 8 (million)
% 0.59/0.77 % (10622)------------------------------
% 0.59/0.77 % (10622)------------------------------
% 0.59/0.77 % (10623)Refutation not found, incomplete strategy% (10623)------------------------------
% 0.59/0.77 % (10623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (10623)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (10623)Memory used [KB]: 1262
% 0.59/0.77 % (10623)Time elapsed: 0.008 s
% 0.59/0.77 % (10623)Instructions burned: 16 (million)
% 0.59/0.77 % (10623)------------------------------
% 0.59/0.77 % (10623)------------------------------
% 0.59/0.77 % (10628)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78 % (10627)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.78 % (10629)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.78 % (10619)Instruction limit reached!
% 0.59/0.78 % (10619)------------------------------
% 0.59/0.78 % (10619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (10619)Termination reason: Unknown
% 0.59/0.78 % (10619)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (10619)Memory used [KB]: 1490
% 0.59/0.78 % (10619)Time elapsed: 0.013 s
% 0.59/0.78 % (10619)Instructions burned: 37 (million)
% 0.59/0.78 % (10619)------------------------------
% 0.59/0.78 % (10619)------------------------------
% 0.59/0.78 % (10628)Refutation not found, incomplete strategy% (10628)------------------------------
% 0.59/0.78 % (10628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (10628)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (10628)Memory used [KB]: 1263
% 0.59/0.78 % (10628)Time elapsed: 0.008 s
% 0.59/0.78 % (10628)Instructions burned: 14 (million)
% 0.59/0.78 % (10628)------------------------------
% 0.59/0.78 % (10628)------------------------------
% 0.59/0.78 % (10630)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.79 % (10624)Instruction limit reached!
% 0.59/0.79 % (10624)------------------------------
% 0.59/0.79 % (10624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (10624)Termination reason: Unknown
% 0.59/0.79 % (10624)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (10624)Memory used [KB]: 1304
% 0.59/0.79 % (10624)Time elapsed: 0.022 s
% 0.59/0.79 % (10624)Instructions burned: 46 (million)
% 0.59/0.79 % (10624)------------------------------
% 0.59/0.79 % (10624)------------------------------
% 0.59/0.79 % (10625)First to succeed.
% 0.59/0.79 % (10631)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.79 % (10632)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79 % (10625)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10618"
% 0.59/0.79 % (10625)Refutation found. Thanks to Tanya!
% 0.59/0.79 % SZS status Theorem for Vampire---4
% 0.59/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80 % (10625)------------------------------
% 0.59/0.80 % (10625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (10625)Termination reason: Refutation
% 0.59/0.80
% 0.59/0.80 % (10625)Memory used [KB]: 1380
% 0.59/0.80 % (10625)Time elapsed: 0.027 s
% 0.59/0.80 % (10625)Instructions burned: 53 (million)
% 0.59/0.80 % (10618)Success in time 0.42 s
% 0.59/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------