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 : n026.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 : 14
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 12 unt; 0 def)
% Number of atoms : 314 ( 150 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 306 ( 89 ~; 102 |; 76 &)
% ( 20 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 9 con; 0-5 aty)
% Number of variables : 208 ( 200 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1156,plain,
$false,
inference(avatar_sat_refutation,[],[f161,f177,f309,f386,f591,f724,f1155]) ).
fof(f1155,plain,
( ~ spl9_5
| ~ spl9_6 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl9_5
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f1153,f105]) ).
fof(f105,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox/tmp/tmp.C0hDLMNx0Q/Vampire---4.8_8926',reserved_2Eho_2Enotfalse) ).
fof(f1153,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ spl9_5
| ~ spl9_6 ),
inference(forward_demodulation,[],[f1152,f175]) ).
fof(f175,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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,[],[f174]) ).
fof(f174,plain,
( spl9_6
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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])]) ).
fof(f1152,plain,
( p(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_5 ),
inference(forward_demodulation,[],[f1151,f963]) ).
fof(f963,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_5 ),
inference(unit_resulting_resolution,[],[f954,f126]) ).
fof(f126,plain,
! [X0,X26,X27] :
( 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,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5] : 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] : 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,X8] : 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,X10,X11] : 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,X13] : 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] :
( 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(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X14)))) )
& ! [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)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X15)))) )
& ! [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)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X16)))) )
& ! [X17] : 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] : 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] :
( 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(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X19)))) )
& ! [X20] :
( ~ p(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] :
( p(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) )
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
& ! [X22] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))))
& ! [X23] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23)))
& ! [X24] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))
& ! [X25] : s(X0,X25) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X25)))))
& ! [X26,X27] :
( 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,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5] : 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] : 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,X8] : 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,X10,X11] : 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,X13] : 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] :
( p(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] :
( p(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] :
( p(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] : 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] : 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] :
( p(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] :
( ~ p(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] :
( p(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) )
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
& ! [X22] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))))
& ! [X23] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23)))
& ! [X24] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))
& ! [X25] : s(X0,X25) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X25)))))
& ! [X26,X27] :
( 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,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X17,X18] :
( ! [X41] : 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] : 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,X39] : 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,X36,X37] : 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,X34] : 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] :
( p(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] :
( p(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] :
( p(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] : 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] : 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] :
( p(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] :
( ~ p(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] :
( p(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) )
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
& ! [X24] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))))
& ! [X23] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23)))
& ! [X22] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))
& ! [X21] : s(X0,X21) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X21)))))
& ! [X19,X20] :
( 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.C0hDLMNx0Q/Vampire---4.8_8926',thm_2Eoption_2Eoption__CLAUSES) ).
fof(f954,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_5 ),
inference(unit_resulting_resolution,[],[f953,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( p(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,X6] :
( p(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,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X42,X11,X43] :
( p(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,X45] :
( p(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.C0hDLMNx0Q/Vampire---4.8_8926',thm_2Eoption_2EOPTREL__def) ).
fof(f953,plain,
( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f952,f128]) ).
fof(f128,plain,
! [X0,X24] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24))),
inference(cnf_transformation,[],[f72]) ).
fof(f952,plain,
( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2)))
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f906,f103]) ).
fof(f103,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/tmp/tmp.C0hDLMNx0Q/Vampire---4.8_8926',reserved_2Eho_2Etruth) ).
fof(f906,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2)))
| ~ spl9_5 ),
inference(superposition,[],[f114,f172]) ).
fof(f172,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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,[],[f170]) ).
fof(f170,plain,
( spl9_5
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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])]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(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,[],[f62]) ).
fof(f1151,plain,
( p(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_5 ),
inference(subsumption_resolution,[],[f1132,f953]) ).
fof(f1132,plain,
( p(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_5 ),
inference(superposition,[],[f112,f1059]) ).
fof(f1059,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_5 ),
inference(unit_resulting_resolution,[],[f955,f126]) ).
fof(f955,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_5 ),
inference(unit_resulting_resolution,[],[f953,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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,[],[f62]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] :
( p(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,[],[f62]) ).
fof(f724,plain,
spl9_3,
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| spl9_3 ),
inference(subsumption_resolution,[],[f719,f128]) ).
fof(f719,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,[],[f659,f111]) ).
fof(f659,plain,
( sP5(c_2Eoption_2ENONE_2E0,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
| spl9_3 ),
inference(unit_resulting_resolution,[],[f128,f653,f114]) ).
fof(f653,plain,
( p(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,[],[f105,f156,f75]) ).
fof(f75,plain,
! [X0,X1] :
( p(s(tyop_2Emin_2Ebool,X0))
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1)) )
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ( ~ p(s(tyop_2Emin_2Ebool,X0))
& p(s(tyop_2Emin_2Ebool,X1)) )
| ( ~ p(s(tyop_2Emin_2Ebool,X1))
& p(s(tyop_2Emin_2Ebool,X0)) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X0))
=> p(s(tyop_2Emin_2Ebool,X1)) )
=> ( ( p(s(tyop_2Emin_2Ebool,X1))
=> p(s(tyop_2Emin_2Ebool,X0)) )
=> s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X15,X16] :
( ( p(s(tyop_2Emin_2Ebool,X15))
=> p(s(tyop_2Emin_2Ebool,X16)) )
=> ( ( p(s(tyop_2Emin_2Ebool,X16))
=> p(s(tyop_2Emin_2Ebool,X15)) )
=> s(tyop_2Emin_2Ebool,X15) = s(tyop_2Emin_2Ebool,X16) ) ),
file('/export/starexec/sandbox/tmp/tmp.C0hDLMNx0Q/Vampire---4.8_8926',thm_2Ebool_2EIMP__ANTISYM__AX) ).
fof(f156,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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,[],[f154]) ).
fof(f154,plain,
( spl9_3
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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])]) ).
fof(f591,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| spl9_2 ),
inference(subsumption_resolution,[],[f585,f128]) ).
fof(f585,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,[],[f456,f110]) ).
fof(f456,plain,
( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ENONE_2E0,sK3,sK0,sK0)
| spl9_2 ),
inference(unit_resulting_resolution,[],[f128,f450,f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4] :
( ~ p(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,[],[f62]) ).
fof(f450,plain,
( p(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,[],[f105,f152,f75]) ).
fof(f152,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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,[],[f150]) ).
fof(f150,plain,
( spl9_2
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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])]) ).
fof(f386,plain,
spl9_4,
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| spl9_4 ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f384,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,[],[f373]) ).
fof(f373,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,[],[f323,f113]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( p(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,[],[f62]) ).
fof(f323,plain,
( ~ p(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,[],[f103,f160,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f160,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != 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,[],[f158]) ).
fof(f158,plain,
( spl9_4
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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])]) ).
fof(f309,plain,
( spl9_1
| spl9_6 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| spl9_1
| spl9_6 ),
inference(subsumption_resolution,[],[f307,f218]) ).
fof(f218,plain,
( ~ p(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,[],[f148,f185,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p(s(tyop_2Emin_2Ebool,X0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
| ( p(s(tyop_2Emin_2Ebool,X0))
<~> p(s(tyop_2Emin_2Ebool,X1)) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( p(s(tyop_2Emin_2Ebool,X0))
<=> p(s(tyop_2Emin_2Ebool,X1)) )
=> s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X5,X6] :
( ( p(s(tyop_2Emin_2Ebool,X5))
<=> p(s(tyop_2Emin_2Ebool,X6)) )
=> s(tyop_2Emin_2Ebool,X5) = s(tyop_2Emin_2Ebool,X6) ),
file('/export/starexec/sandbox/tmp/tmp.C0hDLMNx0Q/Vampire---4.8_8926',reserved_2Eho_2Eboolext) ).
fof(f185,plain,
( p(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,[],[f105,f176,f75]) ).
fof(f176,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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,[],[f174]) ).
fof(f148,plain,
( 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))))) != 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,[],[f146]) ).
fof(f146,plain,
( spl9_1
<=> 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))))) = 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])]) ).
fof(f307,plain,
( p(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,[],[f306,f106]) ).
fof(f106,plain,
! [X0,X1] : 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,[],[f59]) ).
fof(f59,plain,
! [X0,X1] : 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,[],[f29]) ).
fof(f29,axiom,
! [X1,X12] : 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.C0hDLMNx0Q/Vampire---4.8_8926',arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b) ).
fof(f306,plain,
( p(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,[],[f303,f106]) ).
fof(f303,plain,
( p(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,[],[f243,f116]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] :
( p(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,[],[f62]) ).
fof(f243,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,[],[f106,f190,f142]) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4,X5] :
( 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,[],[f142_D]) ).
fof(f142_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])]) ).
fof(f190,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,[],[f106,f185,f143]) ).
fof(f143,plain,
! [X2,X0,X1,X6,X4,X5] :
( ~ p(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,[],[f109,f142_D]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( 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(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,[],[f62]) ).
fof(f177,plain,
( spl9_5
| ~ spl9_6
| spl9_1 ),
inference(avatar_split_clause,[],[f168,f146,f174,f170]) ).
fof(f168,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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,[],[f148,f102]) ).
fof(f102,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X7] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7)
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7) ),
file('/export/starexec/sandbox/tmp/tmp.C0hDLMNx0Q/Vampire---4.8_8926',reserved_2Eho_2Ebool__cases__ax) ).
fof(f161,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f73,f158,f154,f150,f146]) ).
fof(f73,plain,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != 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)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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)))))
| 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))))) != 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,[],[f66]) ).
fof(f66,plain,
? [X0,X1,X2,X3] :
( 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))))) != 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)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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)))))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != 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)))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != 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,[],[f48]) ).
fof(f48,plain,
~ ! [X0,X1,X2,X3] :
( 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))))) = 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)))
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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)))))
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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)))
& s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X0,X46,X11,X47] :
( 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))))) = 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)))
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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)))))
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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)))
& s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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,[],[f46]) ).
fof(f46,conjecture,
! [X0,X46,X11,X47] :
( 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))))) = 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)))
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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)))))
& s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = 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)))
& s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = 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.C0hDLMNx0Q/Vampire---4.8_8926',thm_2Equotient__option_2EOPTION__REL__def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ITP011+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:58:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.C0hDLMNx0Q/Vampire---4.8_8926
% 0.54/0.75 % (9175)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)
% 0.54/0.75 % (9177)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (9178)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)
% 0.54/0.75 % (9179)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)
% 0.54/0.75 % (9176)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)
% 0.54/0.75 % (9180)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)
% 0.54/0.75 % (9182)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)
% 0.54/0.75 % (9181)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)
% 0.59/0.75 % (9182)Refutation not found, incomplete strategy% (9182)------------------------------
% 0.59/0.75 % (9182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (9182)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (9182)Memory used [KB]: 1142
% 0.59/0.75 % (9182)Time elapsed: 0.005 s
% 0.59/0.75 % (9182)Instructions burned: 7 (million)
% 0.59/0.75 % (9182)------------------------------
% 0.59/0.75 % (9182)------------------------------
% 0.59/0.75 % (9178)Refutation not found, incomplete strategy% (9178)------------------------------
% 0.59/0.75 % (9178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (9178)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (9178)Memory used [KB]: 1154
% 0.59/0.75 % (9178)Time elapsed: 0.006 s
% 0.59/0.75 % (9178)Instructions burned: 8 (million)
% 0.59/0.75 % (9178)------------------------------
% 0.59/0.75 % (9178)------------------------------
% 0.59/0.76 % (9179)Refutation not found, incomplete strategy% (9179)------------------------------
% 0.59/0.76 % (9179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9179)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (9179)Memory used [KB]: 1261
% 0.59/0.76 % (9179)Time elapsed: 0.009 s
% 0.59/0.76 % (9179)Instructions burned: 14 (million)
% 0.59/0.76 % (9179)------------------------------
% 0.59/0.76 % (9179)------------------------------
% 0.59/0.76 % (9184)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)
% 0.59/0.76 % (9175)Refutation not found, incomplete strategy% (9175)------------------------------
% 0.59/0.76 % (9175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9175)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (9175)Memory used [KB]: 1309
% 0.59/0.76 % (9175)Time elapsed: 0.011 s
% 0.59/0.76 % (9175)Instructions burned: 31 (million)
% 0.59/0.76 % (9175)------------------------------
% 0.59/0.76 % (9175)------------------------------
% 0.59/0.76 % (9183)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)
% 0.59/0.76 % (9185)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 (2996ds/208Mi)
% 0.59/0.76 % (9186)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 (2996ds/52Mi)
% 0.59/0.76 % (9184)Refutation not found, incomplete strategy% (9184)------------------------------
% 0.59/0.76 % (9184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9184)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (9184)Memory used [KB]: 1241
% 0.59/0.76 % (9184)Time elapsed: 0.009 s
% 0.59/0.76 % (9184)Instructions burned: 14 (million)
% 0.59/0.77 % (9184)------------------------------
% 0.59/0.77 % (9184)------------------------------
% 0.59/0.77 % (9180)Instruction limit reached!
% 0.59/0.77 % (9180)------------------------------
% 0.59/0.77 % (9180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9180)Termination reason: Unknown
% 0.59/0.77 % (9180)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9180)Memory used [KB]: 1422
% 0.59/0.77 % (9180)Time elapsed: 0.026 s
% 0.59/0.77 % (9180)Instructions burned: 46 (million)
% 0.59/0.77 % (9180)------------------------------
% 0.59/0.77 % (9180)------------------------------
% 0.59/0.78 % (9176)Instruction limit reached!
% 0.59/0.78 % (9176)------------------------------
% 0.59/0.78 % (9176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9176)Termination reason: Unknown
% 0.59/0.78 % (9176)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9176)Memory used [KB]: 1387
% 0.59/0.78 % (9176)Time elapsed: 0.028 s
% 0.59/0.78 % (9176)Instructions burned: 51 (million)
% 0.59/0.78 % (9176)------------------------------
% 0.59/0.78 % (9176)------------------------------
% 0.59/0.78 % (9188)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)
% 0.59/0.78 % (9186)Instruction limit reached!
% 0.59/0.78 % (9186)------------------------------
% 0.59/0.78 % (9186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9186)Termination reason: Unknown
% 0.59/0.78 % (9186)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9186)Memory used [KB]: 1544
% 0.59/0.78 % (9186)Time elapsed: 0.018 s
% 0.59/0.78 % (9186)Instructions burned: 55 (million)
% 0.59/0.78 % (9186)------------------------------
% 0.59/0.78 % (9186)------------------------------
% 0.59/0.78 % (9187)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 (2996ds/518Mi)
% 0.59/0.78 % (9189)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.78 % (9181)First to succeed.
% 0.59/0.78 % (9190)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.78 % (9188)Refutation not found, incomplete strategy% (9188)------------------------------
% 0.59/0.78 % (9188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9188)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (9188)Memory used [KB]: 1242
% 0.59/0.78 % (9188)Time elapsed: 0.010 s
% 0.59/0.78 % (9188)Instructions burned: 17 (million)
% 0.59/0.79 % (9188)------------------------------
% 0.59/0.79 % (9188)------------------------------
% 0.59/0.79 % (9181)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9160"
% 0.59/0.79 % (9181)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
% 0.59/0.79 % (9181)------------------------------
% 0.59/0.79 % (9181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (9181)Termination reason: Refutation
% 0.59/0.79
% 0.59/0.79 % (9181)Memory used [KB]: 1471
% 0.59/0.79 % (9181)Time elapsed: 0.038 s
% 0.59/0.79 % (9181)Instructions burned: 67 (million)
% 0.59/0.79 % (9160)Success in time 0.418 s
% 0.59/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------