TSTP Solution File: SEU244+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 12:01:23 EDT 2022
% Result : Theorem 0.29s 1.38s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 20 10:10:19 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.29/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.39
% 0.29/1.39 %-----------------------------------------------------
% 0.29/1.39 fof(t8_wellord1, conjecture, ! [_43075] : (relation(_43075) => (well_orders(_43075, relation_field(_43075)) <=> well_ordering(_43075))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t8_wellord1)).
% 0.29/1.39 fof(d12_relat_2, axiom, ! [_43289] : (relation(_43289) => (antisymmetric(_43289) <=> is_antisymmetric_in(_43289, relation_field(_43289)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d12_relat_2)).
% 0.29/1.39 fof(d14_relat_2, axiom, ! [_43459] : (relation(_43459) => (connected(_43459) <=> is_connected_in(_43459, relation_field(_43459)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d14_relat_2)).
% 0.29/1.39 fof(d16_relat_2, axiom, ! [_43629] : (relation(_43629) => (transitive(_43629) <=> is_transitive_in(_43629, relation_field(_43629)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d16_relat_2)).
% 0.29/1.39 fof(d4_wellord1, axiom, ! [_43799] : (relation(_43799) => (well_ordering(_43799) <=> reflexive(_43799) & transitive(_43799) & antisymmetric(_43799) & connected(_43799) & well_founded_relation(_43799))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_wellord1)).
% 0.29/1.39 fof(d5_wellord1, axiom, ! [_44085] : (relation(_44085) => ! [_44100] : (well_orders(_44085, _44100) <=> is_reflexive_in(_44085, _44100) & is_transitive_in(_44085, _44100) & is_antisymmetric_in(_44085, _44100) & is_connected_in(_44085, _44100) & is_well_founded_in(_44085, _44100))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_wellord1)).
% 0.29/1.39 fof(d9_relat_2, axiom, ! [_44444] : (relation(_44444) => (reflexive(_44444) <=> is_reflexive_in(_44444, relation_field(_44444)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d9_relat_2)).
% 0.29/1.39 fof(t5_wellord1, axiom, ! [_44615] : (relation(_44615) => (well_founded_relation(_44615) <=> is_well_founded_in(_44615, relation_field(_44615)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_wellord1)).
% 0.29/1.39
% 0.29/1.39 cnf(1, plain, [-(3 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))], clausify(t8_wellord1)).
% 0.29/1.39 cnf(2, plain, [-(3 ^ []), -(well_ordering(1 ^ []))], clausify(t8_wellord1)).
% 0.29/1.39 cnf(3, plain, [-(2 ^ []), well_ordering(1 ^ [])], clausify(t8_wellord1)).
% 0.29/1.39 cnf(4, plain, [-(2 ^ []), -(well_orders(1 ^ [], relation_field(1 ^ [])))], clausify(t8_wellord1)).
% 0.29/1.39 cnf(5, plain, [-(relation(1 ^ []))], clausify(t8_wellord1)).
% 0.29/1.39 cnf(6, plain, [2 ^ [], 3 ^ []], clausify(t8_wellord1)).
% 0.29/1.39 cnf(7, plain, [relation(_17413), antisymmetric(_17413), -(is_antisymmetric_in(_17413, relation_field(_17413)))], clausify(d12_relat_2)).
% 0.29/1.39 cnf(8, plain, [relation(_17413), -(antisymmetric(_17413)), is_antisymmetric_in(_17413, relation_field(_17413))], clausify(d12_relat_2)).
% 0.29/1.39 cnf(9, plain, [relation(_17721), connected(_17721), -(is_connected_in(_17721, relation_field(_17721)))], clausify(d14_relat_2)).
% 0.29/1.39 cnf(10, plain, [relation(_17721), -(connected(_17721)), is_connected_in(_17721, relation_field(_17721))], clausify(d14_relat_2)).
% 0.29/1.39 cnf(11, plain, [relation(_18029), transitive(_18029), -(is_transitive_in(_18029, relation_field(_18029)))], clausify(d16_relat_2)).
% 0.29/1.39 cnf(12, plain, [relation(_18029), -(transitive(_18029)), is_transitive_in(_18029, relation_field(_18029))], clausify(d16_relat_2)).
% 0.29/1.39 cnf(13, plain, [relation(_18337), well_ordering(_18337), -(reflexive(_18337))], clausify(d4_wellord1)).
% 0.29/1.39 cnf(14, plain, [relation(_18337), well_ordering(_18337), -(transitive(_18337))], clausify(d4_wellord1)).
% 0.29/1.39 cnf(15, plain, [relation(_18337), well_ordering(_18337), -(antisymmetric(_18337))], clausify(d4_wellord1)).
% 0.29/1.39 cnf(16, plain, [relation(_18337), well_ordering(_18337), -(connected(_18337))], clausify(d4_wellord1)).
% 0.29/1.39 cnf(17, plain, [relation(_18337), well_ordering(_18337), -(well_founded_relation(_18337))], clausify(d4_wellord1)).
% 0.29/1.39 cnf(18, plain, [relation(_18337), -(well_ordering(_18337)), reflexive(_18337), transitive(_18337), antisymmetric(_18337), connected(_18337), well_founded_relation(_18337)], clausify(d4_wellord1)).
% 0.29/1.39 cnf(19, plain, [relation(_18837), well_orders(_18837, _18949), -(is_reflexive_in(_18837, _18949))], clausify(d5_wellord1)).
% 0.29/1.39 cnf(20, plain, [relation(_18837), well_orders(_18837, _18949), -(is_transitive_in(_18837, _18949))], clausify(d5_wellord1)).
% 0.29/1.39 cnf(21, plain, [relation(_18837), well_orders(_18837, _18949), -(is_antisymmetric_in(_18837, _18949))], clausify(d5_wellord1)).
% 0.29/1.39 cnf(22, plain, [relation(_18837), well_orders(_18837, _18949), -(is_connected_in(_18837, _18949))], clausify(d5_wellord1)).
% 0.29/1.39 cnf(23, plain, [relation(_18837), well_orders(_18837, _18949), -(is_well_founded_in(_18837, _18949))], clausify(d5_wellord1)).
% 0.29/1.39 cnf(24, plain, [relation(_18837), -(well_orders(_18837, _18949)), is_reflexive_in(_18837, _18949), is_transitive_in(_18837, _18949), is_antisymmetric_in(_18837, _18949), is_connected_in(_18837, _18949), is_well_founded_in(_18837, _18949)], clausify(d5_wellord1)).
% 0.29/1.39 cnf(25, plain, [relation(_19875), reflexive(_19875), -(is_reflexive_in(_19875, relation_field(_19875)))], clausify(d9_relat_2)).
% 0.29/1.39 cnf(26, plain, [relation(_19875), -(reflexive(_19875)), is_reflexive_in(_19875, relation_field(_19875))], clausify(d9_relat_2)).
% 0.29/1.39 cnf(27, plain, [relation(_20972), well_founded_relation(_20972), -(is_well_founded_in(_20972, relation_field(_20972)))], clausify(t5_wellord1)).
% 0.29/1.39 cnf(28, plain, [relation(_20972), -(well_founded_relation(_20972)), is_well_founded_in(_20972, relation_field(_20972))], clausify(t5_wellord1)).
% 0.29/1.39
% 0.29/1.39 cnf('1',plain,[2 ^ [], 3 ^ []],start(6)).
% 0.29/1.39 cnf('1.1',plain,[-(2 ^ []), well_ordering(1 ^ [])],extension(3)).
% 0.29/1.39 cnf('1.1.1',plain,[-(well_ordering(1 ^ [])), relation(1 ^ []), reflexive(1 ^ []), transitive(1 ^ []), antisymmetric(1 ^ []), connected(1 ^ []), well_founded_relation(1 ^ [])],extension(18,bind([[_18337], [1 ^ []]]))).
% 0.29/1.39 cnf('1.1.1.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.2',plain,[-(reflexive(1 ^ [])), relation(1 ^ []), is_reflexive_in(1 ^ [], relation_field(1 ^ []))],extension(26,bind([[_19875], [1 ^ []]]))).
% 0.29/1.39 cnf('1.1.1.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.2.2',plain,[-(is_reflexive_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))],extension(19,bind([[_18837, _18949], [1 ^ [], relation_field(1 ^ [])]]))).
% 0.29/1.39 cnf('1.1.1.2.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.2.2.2',plain,[-(well_orders(1 ^ [], relation_field(1 ^ []))), -(2 ^ [])],extension(4)).
% 0.29/1.39 cnf('1.1.1.2.2.2.1',plain,[2 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.1.1.3',plain,[-(transitive(1 ^ [])), relation(1 ^ []), is_transitive_in(1 ^ [], relation_field(1 ^ []))],extension(12,bind([[_18029], [1 ^ []]]))).
% 0.29/1.39 cnf('1.1.1.3.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.3.2',plain,[-(is_transitive_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))],extension(20,bind([[_18837, _18949], [1 ^ [], relation_field(1 ^ [])]]))).
% 0.29/1.39 cnf('1.1.1.3.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.3.2.2',plain,[-(well_orders(1 ^ [], relation_field(1 ^ []))), -(2 ^ [])],extension(4)).
% 0.29/1.39 cnf('1.1.1.3.2.2.1',plain,[2 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.1.1.4',plain,[-(antisymmetric(1 ^ [])), relation(1 ^ []), is_antisymmetric_in(1 ^ [], relation_field(1 ^ []))],extension(8,bind([[_17413], [1 ^ []]]))).
% 0.29/1.39 cnf('1.1.1.4.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.4.2',plain,[-(is_antisymmetric_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))],extension(21,bind([[_18837, _18949], [1 ^ [], relation_field(1 ^ [])]]))).
% 0.29/1.39 cnf('1.1.1.4.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.4.2.2',plain,[-(well_orders(1 ^ [], relation_field(1 ^ []))), -(2 ^ [])],extension(4)).
% 0.29/1.39 cnf('1.1.1.4.2.2.1',plain,[2 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.1.1.5',plain,[-(connected(1 ^ [])), relation(1 ^ []), is_connected_in(1 ^ [], relation_field(1 ^ []))],extension(10,bind([[_17721], [1 ^ []]]))).
% 0.29/1.39 cnf('1.1.1.5.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.5.2',plain,[-(is_connected_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))],extension(22,bind([[_18837, _18949], [1 ^ [], relation_field(1 ^ [])]]))).
% 0.29/1.39 cnf('1.1.1.5.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.5.2.2',plain,[-(well_orders(1 ^ [], relation_field(1 ^ []))), -(2 ^ [])],extension(4)).
% 0.29/1.39 cnf('1.1.1.5.2.2.1',plain,[2 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.1.1.6',plain,[-(well_founded_relation(1 ^ [])), relation(1 ^ []), is_well_founded_in(1 ^ [], relation_field(1 ^ []))],extension(28,bind([[_20972], [1 ^ []]]))).
% 0.29/1.39 cnf('1.1.1.6.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.6.2',plain,[-(is_well_founded_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))],extension(23,bind([[_18837, _18949], [1 ^ [], relation_field(1 ^ [])]]))).
% 0.29/1.39 cnf('1.1.1.6.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.1.1.6.2.2',plain,[-(well_orders(1 ^ [], relation_field(1 ^ []))), -(2 ^ [])],extension(4)).
% 0.29/1.39 cnf('1.1.1.6.2.2.1',plain,[2 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.2',plain,[-(3 ^ []), well_orders(1 ^ [], relation_field(1 ^ []))],extension(1)).
% 0.29/1.39 cnf('1.2.1',plain,[-(well_orders(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), is_reflexive_in(1 ^ [], relation_field(1 ^ [])), is_transitive_in(1 ^ [], relation_field(1 ^ [])), is_antisymmetric_in(1 ^ [], relation_field(1 ^ [])), is_connected_in(1 ^ [], relation_field(1 ^ [])), is_well_founded_in(1 ^ [], relation_field(1 ^ []))],extension(24,bind([[_18837, _18949], [1 ^ [], relation_field(1 ^ [])]]))).
% 0.29/1.39 cnf('1.2.1.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.2',plain,[-(is_reflexive_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), reflexive(1 ^ [])],extension(25,bind([[_19875], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.2.2',plain,[-(reflexive(1 ^ [])), relation(1 ^ []), well_ordering(1 ^ [])],extension(13,bind([[_18337], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.2.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.2.2.2',plain,[-(well_ordering(1 ^ [])), -(3 ^ [])],extension(2)).
% 0.29/1.39 cnf('1.2.1.2.2.2.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.2.1.3',plain,[-(is_transitive_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), transitive(1 ^ [])],extension(11,bind([[_18029], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.3.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.3.2',plain,[-(transitive(1 ^ [])), relation(1 ^ []), well_ordering(1 ^ [])],extension(14,bind([[_18337], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.3.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.3.2.2',plain,[-(well_ordering(1 ^ [])), -(3 ^ [])],extension(2)).
% 0.29/1.39 cnf('1.2.1.3.2.2.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.2.1.4',plain,[-(is_antisymmetric_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), antisymmetric(1 ^ [])],extension(7,bind([[_17413], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.4.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.4.2',plain,[-(antisymmetric(1 ^ [])), relation(1 ^ []), well_ordering(1 ^ [])],extension(15,bind([[_18337], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.4.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.4.2.2',plain,[-(well_ordering(1 ^ [])), -(3 ^ [])],extension(2)).
% 0.29/1.39 cnf('1.2.1.4.2.2.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.2.1.5',plain,[-(is_connected_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), connected(1 ^ [])],extension(9,bind([[_17721], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.5.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.5.2',plain,[-(connected(1 ^ [])), relation(1 ^ []), well_ordering(1 ^ [])],extension(16,bind([[_18337], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.5.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.5.2.2',plain,[-(well_ordering(1 ^ [])), -(3 ^ [])],extension(2)).
% 0.29/1.39 cnf('1.2.1.5.2.2.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.39 cnf('1.2.1.6',plain,[-(is_well_founded_in(1 ^ [], relation_field(1 ^ []))), relation(1 ^ []), well_founded_relation(1 ^ [])],extension(27,bind([[_20972], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.6.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.6.2',plain,[-(well_founded_relation(1 ^ [])), relation(1 ^ []), well_ordering(1 ^ [])],extension(17,bind([[_18337], [1 ^ []]]))).
% 0.29/1.39 cnf('1.2.1.6.2.1',plain,[-(relation(1 ^ []))],extension(5)).
% 0.29/1.39 cnf('1.2.1.6.2.2',plain,[-(well_ordering(1 ^ [])), -(3 ^ [])],extension(2)).
% 0.29/1.39 cnf('1.2.1.6.2.2.1',plain,[3 ^ []],reduction('1')).
% 0.29/1.39 %-----------------------------------------------------
% 0.29/1.40
% 0.29/1.40 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------