TSTP Solution File: SEU243+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 0.36s 1.39s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 20:25:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.36/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.40
% 0.36/1.40 %-----------------------------------------------------
% 0.36/1.40 fof(t5_wellord1, conjecture, ! [_56329] : (relation(_56329) => (well_founded_relation(_56329) <=> is_well_founded_in(_56329, relation_field(_56329)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_wellord1)).
% 0.36/1.40 fof(d2_wellord1, axiom, ! [_56565] : (relation(_56565) => (well_founded_relation(_56565) <=> ! [_56587] : ~ (subset(_56587, relation_field(_56565)) & (! _56587) = empty_set & ! [_56619] : ~ (in(_56619, _56587) & disjoint(fiber(_56565, _56619), _56587))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_wellord1)).
% 0.36/1.40 fof(d3_wellord1, axiom, ! [_56948] : (relation(_56948) => ! [_56963] : (is_well_founded_in(_56948, _56963) <=> ! [_56981] : ~ (subset(_56981, _56963) & (! _56981) = empty_set & ! [_57009] : ~ (in(_57009, _56981) & disjoint(fiber(_56948, _57009), _56981))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_wellord1)).
% 0.36/1.40
% 0.36/1.40 cnf(1, plain, [-(13 ^ []), well_founded_relation(11 ^ [])], clausify(t5_wellord1)).
% 0.36/1.40 cnf(2, plain, [-(13 ^ []), -(is_well_founded_in(11 ^ [], relation_field(11 ^ [])))], clausify(t5_wellord1)).
% 0.36/1.40 cnf(3, plain, [-(12 ^ []), is_well_founded_in(11 ^ [], relation_field(11 ^ []))], clausify(t5_wellord1)).
% 0.36/1.40 cnf(4, plain, [-(12 ^ []), -(well_founded_relation(11 ^ []))], clausify(t5_wellord1)).
% 0.36/1.40 cnf(5, plain, [-(relation(11 ^ []))], clausify(t5_wellord1)).
% 0.36/1.40 cnf(6, plain, [12 ^ [], 13 ^ []], clausify(t5_wellord1)).
% 0.36/1.40 cnf(7, plain, [relation(_23568), -(well_founded_relation(_23568)), -(subset(2 ^ [_23568], relation_field(_23568)))], clausify(d2_wellord1)).
% 0.36/1.40 cnf(8, plain, [relation(_23568), -(well_founded_relation(_23568)), 2 ^ [_23568] = empty_set], clausify(d2_wellord1)).
% 0.36/1.40 cnf(9, plain, [relation(_23568), -(well_founded_relation(_23568)), in(_35316, 2 ^ [_23568]), disjoint(fiber(_23568, _35316), 2 ^ [_23568])], clausify(d2_wellord1)).
% 0.36/1.40 cnf(10, plain, [relation(_23568), well_founded_relation(_23568), subset(_23727, relation_field(_23568)), -(_23727 = empty_set), -(in(1 ^ [_23727, _23568], _23727))], clausify(d2_wellord1)).
% 0.36/1.40 cnf(11, plain, [relation(_23568), well_founded_relation(_23568), subset(_23727, relation_field(_23568)), -(_23727 = empty_set), -(disjoint(fiber(_23568, 1 ^ [_23727, _23568]), _23727))], clausify(d2_wellord1)).
% 0.36/1.40 cnf(12, plain, [relation(_24359), -(is_well_founded_in(_24359, _24484)), -(subset(4 ^ [_24484, _24359], _24484))], clausify(d3_wellord1)).
% 0.36/1.40 cnf(13, plain, [relation(_24359), -(is_well_founded_in(_24359, _24484)), 4 ^ [_24484, _24359] = empty_set], clausify(d3_wellord1)).
% 0.36/1.40 cnf(14, plain, [relation(_24359), -(is_well_founded_in(_24359, _24484)), in(_35575, 4 ^ [_24484, _24359]), disjoint(fiber(_24359, _35575), 4 ^ [_24484, _24359])], clausify(d3_wellord1)).
% 0.36/1.40 cnf(15, plain, [relation(_24359), is_well_founded_in(_24359, _24484), subset(_24624, _24484), -(_24624 = empty_set), -(in(3 ^ [_24624, _24484, _24359], _24624))], clausify(d3_wellord1)).
% 0.36/1.40 cnf(16, plain, [relation(_24359), is_well_founded_in(_24359, _24484), subset(_24624, _24484), -(_24624 = empty_set), -(disjoint(fiber(_24359, 3 ^ [_24624, _24484, _24359]), _24624))], clausify(d3_wellord1)).
% 0.36/1.40
% 0.36/1.40 cnf('1',plain,[12 ^ [], 13 ^ []],start(6)).
% 0.36/1.40 cnf('1.1',plain,[-(12 ^ []), is_well_founded_in(11 ^ [], relation_field(11 ^ []))],extension(3)).
% 0.36/1.40 cnf('1.1.1',plain,[-(is_well_founded_in(11 ^ [], relation_field(11 ^ []))), relation(11 ^ []), in(1 ^ [4 ^ [relation_field(11 ^ []), 11 ^ []], 11 ^ []], 4 ^ [relation_field(11 ^ []), 11 ^ []]), disjoint(fiber(11 ^ [], 1 ^ [4 ^ [relation_field(11 ^ []), 11 ^ []], 11 ^ []]), 4 ^ [relation_field(11 ^ []), 11 ^ []])],extension(14,bind([[_35575, _24484, _24359], [1 ^ [4 ^ [relation_field(11 ^ []), 11 ^ []], 11 ^ []], relation_field(11 ^ []), 11 ^ []]]))).
% 0.36/1.40 cnf('1.1.1.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.2',plain,[-(in(1 ^ [4 ^ [relation_field(11 ^ []), 11 ^ []], 11 ^ []], 4 ^ [relation_field(11 ^ []), 11 ^ []])), relation(11 ^ []), well_founded_relation(11 ^ []), subset(4 ^ [relation_field(11 ^ []), 11 ^ []], relation_field(11 ^ [])), -(4 ^ [relation_field(11 ^ []), 11 ^ []] = empty_set)],extension(10,bind([[_23568, _23727], [11 ^ [], 4 ^ [relation_field(11 ^ []), 11 ^ []]]]))).
% 0.36/1.40 cnf('1.1.1.2.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.2.2',plain,[-(well_founded_relation(11 ^ [])), -(12 ^ [])],extension(4)).
% 0.36/1.40 cnf('1.1.1.2.2.1',plain,[12 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.1.1.2.3',plain,[-(subset(4 ^ [relation_field(11 ^ []), 11 ^ []], relation_field(11 ^ []))), relation(11 ^ []), -(is_well_founded_in(11 ^ [], relation_field(11 ^ [])))],extension(12,bind([[_24359, _24484], [11 ^ [], relation_field(11 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.2.3.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.2.3.2',plain,[is_well_founded_in(11 ^ [], relation_field(11 ^ []))],reduction('1.1')).
% 0.36/1.40 cnf('1.1.1.2.4',plain,[4 ^ [relation_field(11 ^ []), 11 ^ []] = empty_set, relation(11 ^ []), -(is_well_founded_in(11 ^ [], relation_field(11 ^ [])))],extension(13,bind([[_24359, _24484], [11 ^ [], relation_field(11 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.2.4.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.2.4.2',plain,[is_well_founded_in(11 ^ [], relation_field(11 ^ []))],reduction('1.1')).
% 0.36/1.40 cnf('1.1.1.3',plain,[-(disjoint(fiber(11 ^ [], 1 ^ [4 ^ [relation_field(11 ^ []), 11 ^ []], 11 ^ []]), 4 ^ [relation_field(11 ^ []), 11 ^ []])), relation(11 ^ []), well_founded_relation(11 ^ []), subset(4 ^ [relation_field(11 ^ []), 11 ^ []], relation_field(11 ^ [])), -(4 ^ [relation_field(11 ^ []), 11 ^ []] = empty_set)],extension(11,bind([[_23568, _23727], [11 ^ [], 4 ^ [relation_field(11 ^ []), 11 ^ []]]]))).
% 0.36/1.40 cnf('1.1.1.3.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.3.2',plain,[-(well_founded_relation(11 ^ [])), -(12 ^ [])],extension(4)).
% 0.36/1.40 cnf('1.1.1.3.2.1',plain,[12 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.1.1.3.3',plain,[-(subset(4 ^ [relation_field(11 ^ []), 11 ^ []], relation_field(11 ^ []))), relation(11 ^ []), -(is_well_founded_in(11 ^ [], relation_field(11 ^ [])))],extension(12,bind([[_24359, _24484], [11 ^ [], relation_field(11 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.3.3.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.3.3.2',plain,[is_well_founded_in(11 ^ [], relation_field(11 ^ []))],reduction('1.1')).
% 0.36/1.40 cnf('1.1.1.3.4',plain,[4 ^ [relation_field(11 ^ []), 11 ^ []] = empty_set, relation(11 ^ []), -(is_well_founded_in(11 ^ [], relation_field(11 ^ [])))],extension(13,bind([[_24359, _24484], [11 ^ [], relation_field(11 ^ [])]]))).
% 0.36/1.40 cnf('1.1.1.3.4.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.1.1.3.4.2',plain,[is_well_founded_in(11 ^ [], relation_field(11 ^ []))],reduction('1.1')).
% 0.36/1.40 cnf('1.2',plain,[-(13 ^ []), well_founded_relation(11 ^ [])],extension(1)).
% 0.36/1.40 cnf('1.2.1',plain,[-(well_founded_relation(11 ^ [])), relation(11 ^ []), in(3 ^ [2 ^ [11 ^ []], relation_field(11 ^ []), 11 ^ []], 2 ^ [11 ^ []]), disjoint(fiber(11 ^ [], 3 ^ [2 ^ [11 ^ []], relation_field(11 ^ []), 11 ^ []]), 2 ^ [11 ^ []])],extension(9,bind([[_35316, _23568], [3 ^ [2 ^ [11 ^ []], relation_field(11 ^ []), 11 ^ []], 11 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.2',plain,[-(in(3 ^ [2 ^ [11 ^ []], relation_field(11 ^ []), 11 ^ []], 2 ^ [11 ^ []])), relation(11 ^ []), is_well_founded_in(11 ^ [], relation_field(11 ^ [])), subset(2 ^ [11 ^ []], relation_field(11 ^ [])), -(2 ^ [11 ^ []] = empty_set)],extension(15,bind([[_24359, _24484, _24624], [11 ^ [], relation_field(11 ^ []), 2 ^ [11 ^ []]]]))).
% 0.36/1.40 cnf('1.2.1.2.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.2.2',plain,[-(is_well_founded_in(11 ^ [], relation_field(11 ^ []))), -(13 ^ [])],extension(2)).
% 0.36/1.40 cnf('1.2.1.2.2.1',plain,[13 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.2.1.2.3',plain,[-(subset(2 ^ [11 ^ []], relation_field(11 ^ []))), relation(11 ^ []), -(well_founded_relation(11 ^ []))],extension(7,bind([[_23568], [11 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.2.3.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.2.3.2',plain,[well_founded_relation(11 ^ [])],reduction('1.2')).
% 0.36/1.40 cnf('1.2.1.2.4',plain,[2 ^ [11 ^ []] = empty_set, relation(11 ^ []), -(well_founded_relation(11 ^ []))],extension(8,bind([[_23568], [11 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.2.4.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.2.4.2',plain,[well_founded_relation(11 ^ [])],reduction('1.2')).
% 0.36/1.40 cnf('1.2.1.3',plain,[-(disjoint(fiber(11 ^ [], 3 ^ [2 ^ [11 ^ []], relation_field(11 ^ []), 11 ^ []]), 2 ^ [11 ^ []])), relation(11 ^ []), is_well_founded_in(11 ^ [], relation_field(11 ^ [])), subset(2 ^ [11 ^ []], relation_field(11 ^ [])), -(2 ^ [11 ^ []] = empty_set)],extension(16,bind([[_24359, _24484, _24624], [11 ^ [], relation_field(11 ^ []), 2 ^ [11 ^ []]]]))).
% 0.36/1.40 cnf('1.2.1.3.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.3.2',plain,[-(is_well_founded_in(11 ^ [], relation_field(11 ^ []))), -(13 ^ [])],extension(2)).
% 0.36/1.40 cnf('1.2.1.3.2.1',plain,[13 ^ []],reduction('1')).
% 0.36/1.40 cnf('1.2.1.3.3',plain,[-(subset(2 ^ [11 ^ []], relation_field(11 ^ []))), relation(11 ^ []), -(well_founded_relation(11 ^ []))],extension(7,bind([[_23568], [11 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.3.3.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.3.3.2',plain,[well_founded_relation(11 ^ [])],reduction('1.2')).
% 0.36/1.40 cnf('1.2.1.3.4',plain,[2 ^ [11 ^ []] = empty_set, relation(11 ^ []), -(well_founded_relation(11 ^ []))],extension(8,bind([[_23568], [11 ^ []]]))).
% 0.36/1.40 cnf('1.2.1.3.4.1',plain,[-(relation(11 ^ []))],extension(5)).
% 0.36/1.40 cnf('1.2.1.3.4.2',plain,[well_founded_relation(11 ^ [])],reduction('1.2')).
% 0.36/1.40 %-----------------------------------------------------
% 0.36/1.41
% 0.36/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------