TSTP Solution File: LAT356+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n020.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  : 600s
% DateTime : Sun Jul 17 05:43:19 EDT 2022

% Result   : Theorem 28.47s 28.36s
% Output   : Proof 28.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 30 09:34:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 28.47/28.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.47/28.37  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.47/28.37  
% 28.47/28.37  %-----------------------------------------------------
% 28.47/28.37  fof(t7_waybel34, conjecture, ! [_416419] : (v2_orders_2(_416419) & v3_orders_2(_416419) & v4_orders_2(_416419) & v1_lattice3(_416419) & v2_lattice3(_416419) & v3_lattice3(_416419) & l1_orders_2(_416419) => k1_waybel34(_416419, _416419, k7_grcat_1(_416419)) = k7_grcat_1(_416419) & k2_waybel34(_416419, _416419, k7_grcat_1(_416419)) = k7_grcat_1(_416419)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_waybel34)).
% 28.47/28.37  fof(cc1_lattice3, axiom, ! [_416971] : (l1_orders_2(_416971) => v1_lattice3(_416971) => ~ v3_struct_0(_416971)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_lattice3)).
% 28.47/28.37  fof(d1_waybel34, axiom, ! [_417179] : (v2_orders_2(_417179) & v3_orders_2(_417179) & v4_orders_2(_417179) & v1_lattice3(_417179) & v2_lattice3(_417179) & l1_orders_2(_417179) => ! [_417229] : (v2_orders_2(_417229) & v3_orders_2(_417229) & v4_orders_2(_417229) & v1_lattice3(_417229) & v2_lattice3(_417229) & l1_orders_2(_417229) => ! [_417279] : (v1_funct_1(_417279) & v1_funct_2(_417279, u1_struct_0(_417179), u1_struct_0(_417229)) & m2_relset_1(_417279, u1_struct_0(_417179), u1_struct_0(_417229)) => v3_lattice3(_417179) & v3_lattice3(_417229) & v17_waybel_0(_417279, _417179, _417229) => ! [_417363] : (v1_funct_1(_417363) & v1_funct_2(_417363, u1_struct_0(_417229), u1_struct_0(_417179)) & m2_relset_1(_417363, u1_struct_0(_417229), u1_struct_0(_417179)) => (_417363 = k1_waybel34(_417179, _417229, _417279) <=> v3_waybel_1(k1_waybel_1(_417179, _417229, _417279, _417363), _417179, _417229)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_waybel34)).
% 28.47/28.37  fof(d2_waybel34, axiom, ! [_418044] : (v2_orders_2(_418044) & v3_orders_2(_418044) & v4_orders_2(_418044) & v1_lattice3(_418044) & v2_lattice3(_418044) & l1_orders_2(_418044) => ! [_418094] : (v2_orders_2(_418094) & v3_orders_2(_418094) & v4_orders_2(_418094) & v1_lattice3(_418094) & v2_lattice3(_418094) & l1_orders_2(_418094) => ! [_418144] : (v1_funct_1(_418144) & v1_funct_2(_418144, u1_struct_0(_418094), u1_struct_0(_418044)) & m2_relset_1(_418144, u1_struct_0(_418094), u1_struct_0(_418044)) => v3_lattice3(_418044) & v3_lattice3(_418094) & v18_waybel_0(_418144, _418094, _418044) => ! [_418228] : (v1_funct_1(_418228) & v1_funct_2(_418228, u1_struct_0(_418044), u1_struct_0(_418094)) & m2_relset_1(_418228, u1_struct_0(_418044), u1_struct_0(_418094)) => (_418228 = k2_waybel34(_418044, _418094, _418144) <=> v3_waybel_1(k1_waybel_1(_418044, _418094, _418228, _418144), _418044, _418094)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_waybel34)).
% 28.47/28.37  fof(dt_k7_grcat_1, axiom, ! [_418916] : (l1_struct_0(_418916) => v1_funct_1(k7_grcat_1(_418916)) & v1_funct_2(k7_grcat_1(_418916), u1_struct_0(_418916), u1_struct_0(_418916)) & m2_relset_1(k7_grcat_1(_418916), u1_struct_0(_418916), u1_struct_0(_418916))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_grcat_1)).
% 28.47/28.37  fof(dt_l1_orders_2, axiom, ! [_419194] : (l1_orders_2(_419194) => l1_struct_0(_419194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_orders_2)).
% 28.47/28.37  fof(fc4_waybel10, axiom, ! [_419401] : (~ v3_struct_0(_419401) & v2_orders_2(_419401) & l1_orders_2(_419401) => v1_relat_1(k7_grcat_1(_419401)) & v1_funct_1(k7_grcat_1(_419401)) & v2_funct_1(k7_grcat_1(_419401)) & ~ v1_xboole_0(k7_grcat_1(_419401)) & v1_funct_2(k7_grcat_1(_419401), u1_struct_0(_419401), u1_struct_0(_419401)) & v1_partfun1(k7_grcat_1(_419401), u1_struct_0(_419401), u1_struct_0(_419401)) & v11_quantal1(k7_grcat_1(_419401)) & v5_orders_3(k7_grcat_1(_419401), _419401, _419401) & v17_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v18_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v19_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v20_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v21_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v22_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v23_waybel_0(k7_grcat_1(_419401), _419401, _419401) & v6_waybel_1(k7_grcat_1(_419401), _419401) & v7_waybel_1(k7_grcat_1(_419401), _419401) & v8_waybel_1(k7_grcat_1(_419401), _419401)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_waybel10)).
% 28.47/28.37  fof(t6_waybel34, axiom, ! [_420470] : (~ v3_struct_0(_420470) & l1_orders_2(_420470) => v3_waybel_1(k1_waybel_1(_420470, _420470, k7_grcat_1(_420470), k7_grcat_1(_420470)), _420470, _420470)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_waybel34)).
% 28.47/28.37  
% 28.47/28.37  cnf(1, plain, [-(v2_orders_2(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(2, plain, [-(v3_orders_2(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(3, plain, [-(v4_orders_2(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(4, plain, [-(v1_lattice3(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(5, plain, [-(v2_lattice3(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(6, plain, [-(v3_lattice3(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(7, plain, [-(l1_orders_2(27 ^ []))], clausify(t7_waybel34)).
% 28.47/28.37  cnf(8, plain, [k1_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ [])) = k7_grcat_1(27 ^ []), k2_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ [])) = k7_grcat_1(27 ^ [])], clausify(t7_waybel34)).
% 28.47/28.37  cnf(9, plain, [_118779 = _118824, -(_118824 = _118779)], theory(equality)).
% 28.47/28.37  cnf(10, plain, [l1_orders_2(_166664), v1_lattice3(_166664), v3_struct_0(_166664)], clausify(cc1_lattice3)).
% 28.47/28.37  cnf(11, plain, [l1_orders_2(_191179), v2_lattice3(_191179), v1_lattice3(_191179), v4_orders_2(_191179), v3_orders_2(_191179), v2_orders_2(_191179), l1_orders_2(_191678), v2_lattice3(_191678), v1_lattice3(_191678), v4_orders_2(_191678), v3_orders_2(_191678), v2_orders_2(_191678), m2_relset_1(_192146, u1_struct_0(_191179), u1_struct_0(_191678)), v1_funct_2(_192146, u1_struct_0(_191179), u1_struct_0(_191678)), v1_funct_1(_192146), v17_waybel_0(_192146, _191179, _191678), v3_lattice3(_191678), v3_lattice3(_191179), m2_relset_1(_192815, u1_struct_0(_191678), u1_struct_0(_191179)), v1_funct_2(_192815, u1_struct_0(_191678), u1_struct_0(_191179)), v1_funct_1(_192815), -(_192815 = k1_waybel34(_191179, _191678, _192146)), v3_waybel_1(k1_waybel_1(_191179, _191678, _192146, _192815), _191179, _191678)], clausify(d1_waybel34)).
% 28.47/28.37  cnf(12, plain, [l1_orders_2(_193778), v2_lattice3(_193778), v1_lattice3(_193778), v4_orders_2(_193778), v3_orders_2(_193778), v2_orders_2(_193778), l1_orders_2(_194277), v2_lattice3(_194277), v1_lattice3(_194277), v4_orders_2(_194277), v3_orders_2(_194277), v2_orders_2(_194277), m2_relset_1(_194745, u1_struct_0(_194277), u1_struct_0(_193778)), v1_funct_2(_194745, u1_struct_0(_194277), u1_struct_0(_193778)), v1_funct_1(_194745), v18_waybel_0(_194745, _194277, _193778), v3_lattice3(_194277), v3_lattice3(_193778), m2_relset_1(_195414, u1_struct_0(_193778), u1_struct_0(_194277)), v1_funct_2(_195414, u1_struct_0(_193778), u1_struct_0(_194277)), v1_funct_1(_195414), -(_195414 = k2_waybel34(_193778, _194277, _194745)), v3_waybel_1(k1_waybel_1(_193778, _194277, _195414, _194745), _193778, _194277)], clausify(d2_waybel34)).
% 28.47/28.37  cnf(13, plain, [l1_struct_0(_203384), -(v1_funct_1(k7_grcat_1(_203384)))], clausify(dt_k7_grcat_1)).
% 28.47/28.37  cnf(14, plain, [l1_struct_0(_203384), -(v1_funct_2(k7_grcat_1(_203384), u1_struct_0(_203384), u1_struct_0(_203384)))], clausify(dt_k7_grcat_1)).
% 28.47/28.37  cnf(15, plain, [l1_struct_0(_203384), -(m2_relset_1(k7_grcat_1(_203384), u1_struct_0(_203384), u1_struct_0(_203384)))], clausify(dt_k7_grcat_1)).
% 28.47/28.37  cnf(16, plain, [l1_orders_2(_203962), -(l1_struct_0(_203962))], clausify(dt_l1_orders_2)).
% 28.47/28.37  cnf(17, plain, [-(v17_waybel_0(k7_grcat_1(_223216), _223216, _223216)), -(v3_struct_0(_223216)), v2_orders_2(_223216), l1_orders_2(_223216)], clausify(fc4_waybel10)).
% 28.47/28.37  cnf(18, plain, [-(v18_waybel_0(k7_grcat_1(_223216), _223216, _223216)), -(v3_struct_0(_223216)), v2_orders_2(_223216), l1_orders_2(_223216)], clausify(fc4_waybel10)).
% 28.47/28.37  cnf(19, plain, [-(v3_waybel_1(k1_waybel_1(_252304, _252304, k7_grcat_1(_252304), k7_grcat_1(_252304)), _252304, _252304)), -(v3_struct_0(_252304)), l1_orders_2(_252304)], clausify(t6_waybel34)).
% 28.47/28.37  
% 28.47/28.37  cnf('1',plain,[k1_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ [])) = k7_grcat_1(27 ^ []), k2_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ [])) = k7_grcat_1(27 ^ [])],start(8)).
% 28.47/28.37  cnf('1.1',plain,[-(k1_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ [])) = k7_grcat_1(27 ^ [])), k7_grcat_1(27 ^ []) = k1_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []))],extension(9,bind([[_118779, _118824], [k7_grcat_1(27 ^ []), k1_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []))]]))).
% 28.47/28.37  cnf('1.1.1',plain,[-(k7_grcat_1(27 ^ []) = k1_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []))), l1_orders_2(27 ^ []), v2_lattice3(27 ^ []), v1_lattice3(27 ^ []), v4_orders_2(27 ^ []), v3_orders_2(27 ^ []), v2_orders_2(27 ^ []), l1_orders_2(27 ^ []), v2_lattice3(27 ^ []), v1_lattice3(27 ^ []), v4_orders_2(27 ^ []), v3_orders_2(27 ^ []), v2_orders_2(27 ^ []), m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_1(k7_grcat_1(27 ^ [])), v17_waybel_0(k7_grcat_1(27 ^ []), 27 ^ [], 27 ^ []), v3_lattice3(27 ^ []), v3_lattice3(27 ^ []), m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_1(k7_grcat_1(27 ^ [])), v3_waybel_1(k1_waybel_1(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []), k7_grcat_1(27 ^ [])), 27 ^ [], 27 ^ [])],extension(11,bind([[_192146, _192815, _191179, _191678], [k7_grcat_1(27 ^ []), k7_grcat_1(27 ^ []), 27 ^ [], 27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.2',plain,[-(v2_lattice3(27 ^ []))],extension(5)).
% 28.47/28.37  cnf('1.1.1.3',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.1.1.4',plain,[-(v4_orders_2(27 ^ []))],extension(3)).
% 28.47/28.37  cnf('1.1.1.5',plain,[-(v3_orders_2(27 ^ []))],extension(2)).
% 28.47/28.37  cnf('1.1.1.6',plain,[-(v2_orders_2(27 ^ []))],extension(1)).
% 28.47/28.37  cnf('1.1.1.7',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.8',plain,[-(v2_lattice3(27 ^ []))],extension(5)).
% 28.47/28.37  cnf('1.1.1.9',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.1.1.10',plain,[-(v4_orders_2(27 ^ []))],extension(3)).
% 28.47/28.37  cnf('1.1.1.11',plain,[-(v3_orders_2(27 ^ []))],extension(2)).
% 28.47/28.37  cnf('1.1.1.12',plain,[-(v2_orders_2(27 ^ []))],extension(1)).
% 28.47/28.37  cnf('1.1.1.13',plain,[-(m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ []))), l1_struct_0(27 ^ [])],extension(15,bind([[_203384], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.13.1',plain,[-(l1_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(16,bind([[_203962], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.13.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.14',plain,[-(v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ []))), l1_struct_0(27 ^ [])],extension(14,bind([[_203384], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.14.1',plain,[-(l1_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(16,bind([[_203962], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.14.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.15',plain,[-(v1_funct_1(k7_grcat_1(27 ^ []))), l1_struct_0(27 ^ [])],extension(13,bind([[_203384], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.15.1',plain,[-(l1_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(16,bind([[_203962], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.15.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.16',plain,[-(v17_waybel_0(k7_grcat_1(27 ^ []), 27 ^ [], 27 ^ [])), -(v3_struct_0(27 ^ [])), v2_orders_2(27 ^ []), l1_orders_2(27 ^ [])],extension(17,bind([[_223216], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.16.1',plain,[v3_struct_0(27 ^ []), l1_orders_2(27 ^ []), v1_lattice3(27 ^ [])],extension(10,bind([[_166664], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.16.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.16.1.2',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.1.1.16.2',plain,[-(v2_orders_2(27 ^ []))],extension(1)).
% 28.47/28.37  cnf('1.1.1.16.3',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.17',plain,[-(v3_lattice3(27 ^ []))],extension(6)).
% 28.47/28.37  cnf('1.1.1.18',plain,[-(v3_lattice3(27 ^ []))],extension(6)).
% 28.47/28.37  cnf('1.1.1.19',plain,[-(m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])))],lemmata('1.1.1')).
% 28.47/28.37  cnf('1.1.1.20',plain,[-(v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])))],lemmata('1.1.1')).
% 28.47/28.37  cnf('1.1.1.21',plain,[-(v1_funct_1(k7_grcat_1(27 ^ [])))],lemmata('1.1.1')).
% 28.47/28.37  cnf('1.1.1.22',plain,[-(v3_waybel_1(k1_waybel_1(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []), k7_grcat_1(27 ^ [])), 27 ^ [], 27 ^ [])), -(v3_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(19,bind([[_252304], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.22.1',plain,[v3_struct_0(27 ^ []), l1_orders_2(27 ^ []), v1_lattice3(27 ^ [])],extension(10,bind([[_166664], [27 ^ []]]))).
% 28.47/28.37  cnf('1.1.1.22.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.1.1.22.1.2',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.1.1.22.2',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2',plain,[-(k2_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ [])) = k7_grcat_1(27 ^ [])), k7_grcat_1(27 ^ []) = k2_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []))],extension(9,bind([[_118779, _118824], [k7_grcat_1(27 ^ []), k2_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []))]]))).
% 28.47/28.37  cnf('1.2.1',plain,[-(k7_grcat_1(27 ^ []) = k2_waybel34(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []))), l1_orders_2(27 ^ []), v2_lattice3(27 ^ []), v1_lattice3(27 ^ []), v4_orders_2(27 ^ []), v3_orders_2(27 ^ []), v2_orders_2(27 ^ []), l1_orders_2(27 ^ []), v2_lattice3(27 ^ []), v1_lattice3(27 ^ []), v4_orders_2(27 ^ []), v3_orders_2(27 ^ []), v2_orders_2(27 ^ []), m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_1(k7_grcat_1(27 ^ [])), v18_waybel_0(k7_grcat_1(27 ^ []), 27 ^ [], 27 ^ []), v3_lattice3(27 ^ []), v3_lattice3(27 ^ []), m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])), v1_funct_1(k7_grcat_1(27 ^ [])), v3_waybel_1(k1_waybel_1(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []), k7_grcat_1(27 ^ [])), 27 ^ [], 27 ^ [])],extension(12,bind([[_195414, _194745, _193778, _194277], [k7_grcat_1(27 ^ []), k7_grcat_1(27 ^ []), 27 ^ [], 27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.2',plain,[-(v2_lattice3(27 ^ []))],extension(5)).
% 28.47/28.37  cnf('1.2.1.3',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.2.1.4',plain,[-(v4_orders_2(27 ^ []))],extension(3)).
% 28.47/28.37  cnf('1.2.1.5',plain,[-(v3_orders_2(27 ^ []))],extension(2)).
% 28.47/28.37  cnf('1.2.1.6',plain,[-(v2_orders_2(27 ^ []))],extension(1)).
% 28.47/28.37  cnf('1.2.1.7',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.8',plain,[-(v2_lattice3(27 ^ []))],extension(5)).
% 28.47/28.37  cnf('1.2.1.9',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.2.1.10',plain,[-(v4_orders_2(27 ^ []))],extension(3)).
% 28.47/28.37  cnf('1.2.1.11',plain,[-(v3_orders_2(27 ^ []))],extension(2)).
% 28.47/28.37  cnf('1.2.1.12',plain,[-(v2_orders_2(27 ^ []))],extension(1)).
% 28.47/28.37  cnf('1.2.1.13',plain,[-(m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ []))), l1_struct_0(27 ^ [])],extension(15,bind([[_203384], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.13.1',plain,[-(l1_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(16,bind([[_203962], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.13.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.14',plain,[-(v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ []))), l1_struct_0(27 ^ [])],extension(14,bind([[_203384], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.14.1',plain,[-(l1_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(16,bind([[_203962], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.14.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.15',plain,[-(v1_funct_1(k7_grcat_1(27 ^ []))), l1_struct_0(27 ^ [])],extension(13,bind([[_203384], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.15.1',plain,[-(l1_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(16,bind([[_203962], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.15.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.16',plain,[-(v18_waybel_0(k7_grcat_1(27 ^ []), 27 ^ [], 27 ^ [])), -(v3_struct_0(27 ^ [])), v2_orders_2(27 ^ []), l1_orders_2(27 ^ [])],extension(18,bind([[_223216], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.16.1',plain,[v3_struct_0(27 ^ []), l1_orders_2(27 ^ []), v1_lattice3(27 ^ [])],extension(10,bind([[_166664], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.16.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.16.1.2',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.2.1.16.2',plain,[-(v2_orders_2(27 ^ []))],extension(1)).
% 28.47/28.37  cnf('1.2.1.16.3',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.17',plain,[-(v3_lattice3(27 ^ []))],extension(6)).
% 28.47/28.37  cnf('1.2.1.18',plain,[-(v3_lattice3(27 ^ []))],extension(6)).
% 28.47/28.37  cnf('1.2.1.19',plain,[-(m2_relset_1(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])))],lemmata('1.2.1')).
% 28.47/28.37  cnf('1.2.1.20',plain,[-(v1_funct_2(k7_grcat_1(27 ^ []), u1_struct_0(27 ^ []), u1_struct_0(27 ^ [])))],lemmata('1.2.1')).
% 28.47/28.37  cnf('1.2.1.21',plain,[-(v1_funct_1(k7_grcat_1(27 ^ [])))],lemmata('1.2.1')).
% 28.47/28.37  cnf('1.2.1.22',plain,[-(v3_waybel_1(k1_waybel_1(27 ^ [], 27 ^ [], k7_grcat_1(27 ^ []), k7_grcat_1(27 ^ [])), 27 ^ [], 27 ^ [])), -(v3_struct_0(27 ^ [])), l1_orders_2(27 ^ [])],extension(19,bind([[_252304], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.22.1',plain,[v3_struct_0(27 ^ []), l1_orders_2(27 ^ []), v1_lattice3(27 ^ [])],extension(10,bind([[_166664], [27 ^ []]]))).
% 28.47/28.37  cnf('1.2.1.22.1.1',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  cnf('1.2.1.22.1.2',plain,[-(v1_lattice3(27 ^ []))],extension(4)).
% 28.47/28.37  cnf('1.2.1.22.2',plain,[-(l1_orders_2(27 ^ []))],extension(7)).
% 28.47/28.37  %-----------------------------------------------------
% 28.47/28.38  
% 28.47/28.38  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------