TSTP Solution File: SEU242+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 : Tue Jul 19 12:01:22 EDT 2022
% Result : Theorem 1.33s 2.48s
% Output : Proof 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU242+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 21:47:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.33/2.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.33/2.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.33/2.49
% 1.33/2.49 %-----------------------------------------------------
% 1.33/2.49 fof(l4_wellord1, conjecture, ! [_53101] : (relation(_53101) => (connected(_53101) <=> ! [_53123, _53126] : ~ (in(_53123, relation_field(_53101)) & in(_53126, relation_field(_53101)) & (! _53123) = _53126 & ~ in(ordered_pair(_53123, _53126), _53101) & ~ in(ordered_pair(_53126, _53123), _53101)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4_wellord1)).
% 1.33/2.49 fof(d14_relat_2, axiom, ! [_53643] : (relation(_53643) => (connected(_53643) <=> is_connected_in(_53643, relation_field(_53643)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_2)).
% 1.33/2.49 fof(d6_relat_2, axiom, ! [_53815] : (relation(_53815) => ! [_53830] : (is_connected_in(_53815, _53830) <=> ! [_53848, _53851] : ~ (in(_53848, _53830) & in(_53851, _53830) & (! _53848) = _53851 & ~ in(ordered_pair(_53848, _53851), _53815) & ~ in(ordered_pair(_53851, _53848), _53815)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_relat_2)).
% 1.33/2.49
% 1.33/2.49 cnf(1, plain, [-(13 ^ []), in(_37419, relation_field(9 ^ [])), in(_37424, relation_field(9 ^ [])), -(_37419 = _37424), -(in(ordered_pair(_37419, _37424), 9 ^ [])), -(in(ordered_pair(_37424, _37419), 9 ^ []))], clausify(l4_wellord1)).
% 1.33/2.49 cnf(2, plain, [-(13 ^ []), connected(9 ^ [])], clausify(l4_wellord1)).
% 1.33/2.49 cnf(3, plain, [-(12 ^ []), in(ordered_pair(11 ^ [], 10 ^ []), 9 ^ [])], clausify(l4_wellord1)).
% 1.33/2.49 cnf(4, plain, [-(12 ^ []), in(ordered_pair(10 ^ [], 11 ^ []), 9 ^ [])], clausify(l4_wellord1)).
% 1.33/2.49 cnf(5, plain, [-(12 ^ []), 10 ^ [] = 11 ^ []], clausify(l4_wellord1)).
% 1.33/2.49 cnf(6, plain, [-(12 ^ []), -(in(11 ^ [], relation_field(9 ^ [])))], clausify(l4_wellord1)).
% 1.33/2.49 cnf(7, plain, [-(12 ^ []), -(in(10 ^ [], relation_field(9 ^ [])))], clausify(l4_wellord1)).
% 1.33/2.49 cnf(8, plain, [-(12 ^ []), -(connected(9 ^ []))], clausify(l4_wellord1)).
% 1.33/2.49 cnf(9, plain, [-(relation(9 ^ []))], clausify(l4_wellord1)).
% 1.33/2.49 cnf(10, plain, [12 ^ [], 13 ^ []], clausify(l4_wellord1)).
% 1.33/2.49 cnf(11, plain, [_18698 = _18747, -(relation_field(_18698) = relation_field(_18747))], theory(equality)).
% 1.33/2.49 cnf(12, plain, [-(_13210 = _13210)], theory(equality)).
% 1.33/2.49 cnf(13, plain, [_13363 = _13408, -(_13408 = _13363)], theory(equality)).
% 1.33/2.49 cnf(14, plain, [-(is_connected_in(_16420, _16551)), is_connected_in(_16353, _16486), _16353 = _16420, _16486 = _16551], theory(equality)).
% 1.33/2.49 cnf(15, plain, [relation(_22651), connected(_22651), -(is_connected_in(_22651, relation_field(_22651)))], clausify(d14_relat_2)).
% 1.33/2.49 cnf(16, plain, [relation(_22651), -(connected(_22651)), is_connected_in(_22651, relation_field(_22651))], clausify(d14_relat_2)).
% 1.33/2.49 cnf(17, plain, [relation(_23658), -(is_connected_in(_23658, _23794)), -(in(1 ^ [_23794, _23658], _23794))], clausify(d6_relat_2)).
% 1.33/2.49 cnf(18, plain, [relation(_23658), -(is_connected_in(_23658, _23794)), -(in(2 ^ [_23794, _23658], _23794))], clausify(d6_relat_2)).
% 1.33/2.49 cnf(19, plain, [relation(_23658), -(is_connected_in(_23658, _23794)), 1 ^ [_23794, _23658] = 2 ^ [_23794, _23658]], clausify(d6_relat_2)).
% 1.33/2.49 cnf(20, plain, [relation(_23658), -(is_connected_in(_23658, _23794)), in(ordered_pair(1 ^ [_23794, _23658], 2 ^ [_23794, _23658]), _23658)], clausify(d6_relat_2)).
% 1.33/2.49 cnf(21, plain, [relation(_23658), -(is_connected_in(_23658, _23794)), in(ordered_pair(2 ^ [_23794, _23658], 1 ^ [_23794, _23658]), _23658)], clausify(d6_relat_2)).
% 1.33/2.49 cnf(22, plain, [relation(_23658), is_connected_in(_23658, _23794), in(_23945, _23794), in(_24030, _23794), -(_23945 = _24030), -(in(ordered_pair(_23945, _24030), _23658)), -(in(ordered_pair(_24030, _23945), _23658))], clausify(d6_relat_2)).
% 1.33/2.49
% 1.33/2.49 cnf('1',plain,[12 ^ [], 13 ^ []],start(10)).
% 1.33/2.49 cnf('1.1',plain,[-(12 ^ []), in(ordered_pair(11 ^ [], 10 ^ []), 9 ^ [])],extension(3)).
% 1.33/2.49 cnf('1.1.1',plain,[-(in(ordered_pair(11 ^ [], 10 ^ []), 9 ^ [])), relation(9 ^ []), is_connected_in(9 ^ [], relation_field(9 ^ [])), in(11 ^ [], relation_field(9 ^ [])), in(10 ^ [], relation_field(9 ^ [])), -(11 ^ [] = 10 ^ []), -(in(ordered_pair(10 ^ [], 11 ^ []), 9 ^ []))],extension(22,bind([[_23794, _24030, _23945, _23658], [relation_field(9 ^ []), 10 ^ [], 11 ^ [], 9 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.1.1.2',plain,[-(is_connected_in(9 ^ [], relation_field(9 ^ []))), is_connected_in(9 ^ [], relation_field(9 ^ [])), 9 ^ [] = 9 ^ [], relation_field(9 ^ []) = relation_field(9 ^ [])],extension(14,bind([[_16353, _16420, _16486, _16551], [9 ^ [], 9 ^ [], relation_field(9 ^ []), relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.1.1.2.1',plain,[-(is_connected_in(9 ^ [], relation_field(9 ^ []))), is_connected_in(9 ^ [], relation_field(9 ^ [])), 9 ^ [] = 9 ^ [], relation_field(9 ^ []) = relation_field(9 ^ [])],extension(14,bind([[_16353, _16420, _16486, _16551], [9 ^ [], 9 ^ [], relation_field(9 ^ []), relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.1.1.2.1.1',plain,[-(is_connected_in(9 ^ [], relation_field(9 ^ []))), relation(9 ^ []), connected(9 ^ [])],extension(15,bind([[_22651], [9 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.2.1.1.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.1.1.2.1.1.2',plain,[-(connected(9 ^ [])), -(12 ^ [])],extension(8)).
% 1.33/2.49 cnf('1.1.1.2.1.1.2.1',plain,[12 ^ []],reduction('1')).
% 1.33/2.49 cnf('1.1.1.2.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(12,bind([[_13210], [9 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.2.1.3',plain,[-(relation_field(9 ^ []) = relation_field(9 ^ []))],extension(12,bind([[_13210], [relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.1.1.2.2',plain,[-(9 ^ [] = 9 ^ [])],extension(12,bind([[_13210], [9 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.2.3',plain,[-(relation_field(9 ^ []) = relation_field(9 ^ [])), 9 ^ [] = 9 ^ []],extension(11,bind([[_18698, _18747], [9 ^ [], 9 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.2.3.1',plain,[-(9 ^ [] = 9 ^ [])],extension(12,bind([[_13210], [9 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.3',plain,[-(in(11 ^ [], relation_field(9 ^ []))), -(12 ^ [])],extension(6)).
% 1.33/2.49 cnf('1.1.1.3.1',plain,[12 ^ []],reduction('1')).
% 1.33/2.49 cnf('1.1.1.4',plain,[-(in(10 ^ [], relation_field(9 ^ []))), -(12 ^ [])],extension(7)).
% 1.33/2.49 cnf('1.1.1.4.1',plain,[12 ^ []],reduction('1')).
% 1.33/2.49 cnf('1.1.1.5',plain,[11 ^ [] = 10 ^ [], -(10 ^ [] = 11 ^ [])],extension(13,bind([[_13408, _13363], [10 ^ [], 11 ^ []]]))).
% 1.33/2.49 cnf('1.1.1.5.1',plain,[10 ^ [] = 11 ^ [], -(12 ^ [])],extension(5)).
% 1.33/2.49 cnf('1.1.1.5.1.1',plain,[12 ^ []],reduction('1')).
% 1.33/2.49 cnf('1.1.1.6',plain,[in(ordered_pair(10 ^ [], 11 ^ []), 9 ^ []), -(12 ^ [])],extension(4)).
% 1.33/2.49 cnf('1.1.1.6.1',plain,[12 ^ []],reduction('1')).
% 1.33/2.49 cnf('1.2',plain,[-(13 ^ []), connected(9 ^ [])],extension(2)).
% 1.33/2.49 cnf('1.2.1',plain,[-(connected(9 ^ [])), relation(9 ^ []), is_connected_in(9 ^ [], relation_field(9 ^ []))],extension(16,bind([[_22651], [9 ^ []]]))).
% 1.33/2.49 cnf('1.2.1.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.2.1.2',plain,[-(is_connected_in(9 ^ [], relation_field(9 ^ []))), relation(9 ^ []), 1 ^ [relation_field(9 ^ []), 9 ^ []] = 2 ^ [relation_field(9 ^ []), 9 ^ []]],extension(19,bind([[_23794, _23658], [relation_field(9 ^ []), 9 ^ []]]))).
% 1.33/2.49 cnf('1.2.1.2.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.2.1.2.2',plain,[-(1 ^ [relation_field(9 ^ []), 9 ^ []] = 2 ^ [relation_field(9 ^ []), 9 ^ []]), -(13 ^ []), in(1 ^ [relation_field(9 ^ []), 9 ^ []], relation_field(9 ^ [])), in(2 ^ [relation_field(9 ^ []), 9 ^ []], relation_field(9 ^ [])), -(in(ordered_pair(1 ^ [relation_field(9 ^ []), 9 ^ []], 2 ^ [relation_field(9 ^ []), 9 ^ []]), 9 ^ [])), -(in(ordered_pair(2 ^ [relation_field(9 ^ []), 9 ^ []], 1 ^ [relation_field(9 ^ []), 9 ^ []]), 9 ^ []))],extension(1,bind([[_37424, _37419], [2 ^ [relation_field(9 ^ []), 9 ^ []], 1 ^ [relation_field(9 ^ []), 9 ^ []]]]))).
% 1.33/2.49 cnf('1.2.1.2.2.1',plain,[13 ^ []],reduction('1')).
% 1.33/2.49 cnf('1.2.1.2.2.2',plain,[-(in(1 ^ [relation_field(9 ^ []), 9 ^ []], relation_field(9 ^ []))), relation(9 ^ []), -(is_connected_in(9 ^ [], relation_field(9 ^ [])))],extension(17,bind([[_23658, _23794], [9 ^ [], relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.2.1.2.2.2.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.2.1.2.2.2.2',plain,[is_connected_in(9 ^ [], relation_field(9 ^ []))],reduction('1.2.1')).
% 1.33/2.49 cnf('1.2.1.2.2.3',plain,[-(in(2 ^ [relation_field(9 ^ []), 9 ^ []], relation_field(9 ^ []))), relation(9 ^ []), -(is_connected_in(9 ^ [], relation_field(9 ^ [])))],extension(18,bind([[_23658, _23794], [9 ^ [], relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.2.1.2.2.3.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.2.1.2.2.3.2',plain,[is_connected_in(9 ^ [], relation_field(9 ^ []))],reduction('1.2.1')).
% 1.33/2.49 cnf('1.2.1.2.2.4',plain,[in(ordered_pair(1 ^ [relation_field(9 ^ []), 9 ^ []], 2 ^ [relation_field(9 ^ []), 9 ^ []]), 9 ^ []), relation(9 ^ []), -(is_connected_in(9 ^ [], relation_field(9 ^ [])))],extension(20,bind([[_23658, _23794], [9 ^ [], relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.2.1.2.2.4.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.2.1.2.2.4.2',plain,[is_connected_in(9 ^ [], relation_field(9 ^ []))],reduction('1.2.1')).
% 1.33/2.49 cnf('1.2.1.2.2.5',plain,[in(ordered_pair(2 ^ [relation_field(9 ^ []), 9 ^ []], 1 ^ [relation_field(9 ^ []), 9 ^ []]), 9 ^ []), relation(9 ^ []), -(is_connected_in(9 ^ [], relation_field(9 ^ [])))],extension(21,bind([[_23658, _23794], [9 ^ [], relation_field(9 ^ [])]]))).
% 1.33/2.49 cnf('1.2.1.2.2.5.1',plain,[-(relation(9 ^ []))],extension(9)).
% 1.33/2.49 cnf('1.2.1.2.2.5.2',plain,[is_connected_in(9 ^ [], relation_field(9 ^ []))],reduction('1.2.1')).
% 1.33/2.49 %-----------------------------------------------------
% 1.42/2.50
% 1.42/2.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------