TSTP Solution File: SEU009+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 11:59:46 EDT 2022
% Result : Theorem 167.74s 162.08s
% Output : Proof 167.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 05:50:04 EDT 2022
% 0.11/0.33 % CPUTime :
% 167.74/162.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.74/162.09 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 167.74/162.10
% 167.74/162.10 %-----------------------------------------------------
% 167.74/162.10 fof(t40_funct_1, conjecture, ! [_60401, _60404, _60407] : (relation(_60407) & function(_60407) => (in(_60404, relation_dom(relation_composition(_60407, identity_relation(_60401)))) <=> in(_60404, relation_dom(_60407)) & in(apply(_60407, _60404), _60401))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t40_funct_1)).
% 167.74/162.10 fof(t34_funct_1, axiom, ! [_60734, _60737] : (relation(_60737) & function(_60737) => (_60737 = identity_relation(_60734) <=> relation_dom(_60737) = _60734 & ! [_60779] : (in(_60779, _60734) => apply(_60737, _60779) = _60779))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t34_funct_1)).
% 167.74/162.10 fof(t21_funct_1, axiom, ! [_61043, _61046] : (relation(_61046) & function(_61046) => ! [_61068] : (relation(_61068) & function(_61068) => (in(_61043, relation_dom(relation_composition(_61068, _61046))) <=> in(_61043, relation_dom(_61068)) & in(apply(_61068, _61043), relation_dom(_61046))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t21_funct_1)).
% 167.74/162.10 fof(dt_k6_relat_1, axiom, ! [_61543] : relation(identity_relation(_61543)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k6_relat_1)).
% 167.74/162.10 fof(fc2_funct_1, axiom, ! [_61661] : (relation(identity_relation(_61661)) & function(identity_relation(_61661))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc2_funct_1)).
% 167.74/162.10
% 167.74/162.10 cnf(1, plain, [-(25 ^ []), in(22 ^ [], relation_dom(relation_composition(23 ^ [], identity_relation(21 ^ []))))], clausify(t40_funct_1)).
% 167.74/162.10 cnf(2, plain, [-(25 ^ []), -(in(apply(23 ^ [], 22 ^ []), 21 ^ []))], clausify(t40_funct_1)).
% 167.74/162.10 cnf(3, plain, [-(25 ^ []), -(in(22 ^ [], relation_dom(23 ^ [])))], clausify(t40_funct_1)).
% 167.74/162.10 cnf(4, plain, [-(24 ^ []), in(22 ^ [], relation_dom(23 ^ [])), in(apply(23 ^ [], 22 ^ []), 21 ^ [])], clausify(t40_funct_1)).
% 167.74/162.10 cnf(5, plain, [-(24 ^ []), -(in(22 ^ [], relation_dom(relation_composition(23 ^ [], identity_relation(21 ^ [])))))], clausify(t40_funct_1)).
% 167.74/162.10 cnf(6, plain, [-(17 ^ [_30373, _30294]), -(relation_dom(_30373) = _30294)], clausify(t34_funct_1)).
% 167.74/162.10 cnf(7, plain, [-(20 ^ [_30373, _30294]), _30373 = identity_relation(_30294), 17 ^ [_30373, _30294]], clausify(t34_funct_1)).
% 167.74/162.10 cnf(8, plain, [-(15 ^ [_29300, _29122, _29034]), -(in(apply(_29300, _29034), relation_dom(_29122)))], clausify(t21_funct_1)).
% 167.74/162.10 cnf(9, plain, [-(15 ^ [_29300, _29122, _29034]), -(in(_29034, relation_dom(_29300)))], clausify(t21_funct_1)).
% 167.74/162.10 cnf(10, plain, [-(16 ^ [_29300, _29122, _29034]), -(in(_29034, relation_dom(relation_composition(_29300, _29122)))), in(_29034, relation_dom(_29300)), in(apply(_29300, _29034), relation_dom(_29122))], clausify(t21_funct_1)).
% 167.74/162.10 cnf(11, plain, [-(16 ^ [_29300, _29122, _29034]), in(_29034, relation_dom(relation_composition(_29300, _29122))), 15 ^ [_29300, _29122, _29034]], clausify(t21_funct_1)).
% 167.74/162.10 cnf(12, plain, [-(relation(23 ^ []))], clausify(t40_funct_1)).
% 167.74/162.10 cnf(13, plain, [-(function(23 ^ []))], clausify(t40_funct_1)).
% 167.74/162.10 cnf(14, plain, [25 ^ [], 24 ^ []], clausify(t40_funct_1)).
% 167.74/162.10 cnf(15, plain, [-(apply(_19657, _19790) = apply(_19724, _19855)), _19657 = _19724, _19790 = _19855], theory(equality)).
% 167.74/162.10 cnf(16, plain, [_20281 = _20330, -(identity_relation(_20281) = identity_relation(_20330))], theory(equality)).
% 167.74/162.10 cnf(17, plain, [-(_15466 = _15466)], theory(equality)).
% 167.74/162.10 cnf(18, plain, [_15619 = _15664, -(_15664 = _15619)], theory(equality)).
% 167.74/162.10 cnf(19, plain, [-(in(_17723, _17854)), in(_17656, _17789), _17656 = _17723, _17789 = _17854], theory(equality)).
% 167.74/162.10 cnf(20, plain, [-(relation(identity_relation(_23098)))], clausify(dt_k6_relat_1)).
% 167.74/162.10 cnf(21, plain, [-(function(identity_relation(_25089)))], clausify(fc2_funct_1)).
% 167.74/162.10 cnf(22, plain, [function(_29122), relation(_29122), function(_29300), relation(_29300), 16 ^ [_29300, _29122, _29034]], clausify(t21_funct_1)).
% 167.74/162.10 cnf(23, plain, [function(_30373), relation(_30373), 20 ^ [_30373, _30294]], clausify(t34_funct_1)).
% 167.74/162.10
% 167.74/162.10 cnf('1',plain,[25 ^ [], 24 ^ []],start(14)).
% 167.74/162.10 cnf('1.1',plain,[-(25 ^ []), in(22 ^ [], relation_dom(relation_composition(23 ^ [], identity_relation(21 ^ []))))],extension(1)).
% 167.74/162.10 cnf('1.1.1',plain,[-(in(22 ^ [], relation_dom(relation_composition(23 ^ [], identity_relation(21 ^ []))))), -(16 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []]), in(22 ^ [], relation_dom(23 ^ [])), in(apply(23 ^ [], 22 ^ []), relation_dom(identity_relation(21 ^ [])))],extension(10,bind([[_29300, _29034, _29122], [23 ^ [], 22 ^ [], identity_relation(21 ^ [])]]))).
% 167.74/162.10 cnf('1.1.1.1',plain,[16 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []], function(identity_relation(21 ^ [])), relation(identity_relation(21 ^ [])), function(23 ^ []), relation(23 ^ [])],extension(22,bind([[_29034, _29122, _29300], [22 ^ [], identity_relation(21 ^ []), 23 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.1.1',plain,[-(function(identity_relation(21 ^ [])))],extension(21,bind([[_25089], [21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.1.2',plain,[-(relation(identity_relation(21 ^ [])))],extension(20,bind([[_23098], [21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.1.3',plain,[-(function(23 ^ []))],extension(13)).
% 167.74/162.10 cnf('1.1.1.1.4',plain,[-(relation(23 ^ []))],extension(12)).
% 167.74/162.10 cnf('1.1.1.2',plain,[-(in(22 ^ [], relation_dom(23 ^ []))), -(25 ^ [])],extension(3)).
% 167.74/162.10 cnf('1.1.1.2.1',plain,[25 ^ []],reduction('1')).
% 167.74/162.10 cnf('1.1.1.3',plain,[-(in(apply(23 ^ [], 22 ^ []), relation_dom(identity_relation(21 ^ [])))), in(apply(23 ^ [], 22 ^ []), 21 ^ []), apply(23 ^ [], 22 ^ []) = apply(23 ^ [], 22 ^ []), 21 ^ [] = relation_dom(identity_relation(21 ^ []))],extension(19,bind([[_17656, _17723, _17789, _17854], [apply(23 ^ [], 22 ^ []), apply(23 ^ [], 22 ^ []), 21 ^ [], relation_dom(identity_relation(21 ^ []))]]))).
% 167.74/162.10 cnf('1.1.1.3.1',plain,[-(in(apply(23 ^ [], 22 ^ []), 21 ^ [])), -(25 ^ [])],extension(2)).
% 167.74/162.10 cnf('1.1.1.3.1.1',plain,[25 ^ []],reduction('1')).
% 167.74/162.10 cnf('1.1.1.3.2',plain,[-(apply(23 ^ [], 22 ^ []) = apply(23 ^ [], 22 ^ [])), 23 ^ [] = 23 ^ [], 22 ^ [] = 22 ^ []],extension(15,bind([[_19657, _19724, _19790, _19855], [23 ^ [], 23 ^ [], 22 ^ [], 22 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.2.1',plain,[-(23 ^ [] = 23 ^ [])],extension(17,bind([[_15466], [23 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.2.2',plain,[-(22 ^ [] = 22 ^ [])],extension(17,bind([[_15466], [22 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3',plain,[-(21 ^ [] = relation_dom(identity_relation(21 ^ []))), relation_dom(identity_relation(21 ^ [])) = 21 ^ []],extension(18,bind([[_15619, _15664], [relation_dom(identity_relation(21 ^ [])), 21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1',plain,[-(relation_dom(identity_relation(21 ^ [])) = 21 ^ []), -(17 ^ [identity_relation(21 ^ []), 21 ^ []])],extension(6,bind([[_30373, _30294], [identity_relation(21 ^ []), 21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1.1',plain,[17 ^ [identity_relation(21 ^ []), 21 ^ []], -(20 ^ [identity_relation(21 ^ []), 21 ^ []]), identity_relation(21 ^ []) = identity_relation(21 ^ [])],extension(7,bind([[_30373, _30294], [identity_relation(21 ^ []), 21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1.1.1',plain,[20 ^ [identity_relation(21 ^ []), 21 ^ []], function(identity_relation(21 ^ [])), relation(identity_relation(21 ^ []))],extension(23,bind([[_30294, _30373], [21 ^ [], identity_relation(21 ^ [])]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1.1.1.1',plain,[-(function(identity_relation(21 ^ [])))],extension(21,bind([[_25089], [21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1.1.1.2',plain,[-(relation(identity_relation(21 ^ [])))],extension(20,bind([[_23098], [21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1.1.2',plain,[-(identity_relation(21 ^ []) = identity_relation(21 ^ [])), 21 ^ [] = 21 ^ []],extension(16,bind([[_20281, _20330], [21 ^ [], 21 ^ []]]))).
% 167.74/162.10 cnf('1.1.1.3.3.1.1.2.1',plain,[-(21 ^ [] = 21 ^ [])],extension(17,bind([[_15466], [21 ^ []]]))).
% 167.74/162.10 cnf('1.2',plain,[-(24 ^ []), -(in(22 ^ [], relation_dom(relation_composition(23 ^ [], identity_relation(21 ^ [])))))],extension(5)).
% 167.74/162.10 cnf('1.2.1',plain,[in(22 ^ [], relation_dom(relation_composition(23 ^ [], identity_relation(21 ^ [])))), -(16 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []]), 15 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []]],extension(11,bind([[_29300, _29122, _29034], [23 ^ [], identity_relation(21 ^ []), 22 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.1',plain,[16 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []], function(identity_relation(21 ^ [])), relation(identity_relation(21 ^ [])), function(23 ^ []), relation(23 ^ [])],extension(22,bind([[_29034, _29122, _29300], [22 ^ [], identity_relation(21 ^ []), 23 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.1.1',plain,[-(function(identity_relation(21 ^ [])))],extension(21,bind([[_25089], [21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.1.2',plain,[-(relation(identity_relation(21 ^ [])))],extension(20,bind([[_23098], [21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.1.3',plain,[-(function(23 ^ []))],extension(13)).
% 167.74/162.10 cnf('1.2.1.1.4',plain,[-(relation(23 ^ []))],extension(12)).
% 167.74/162.10 cnf('1.2.1.2',plain,[-(15 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []]), -(in(apply(23 ^ [], 22 ^ []), relation_dom(identity_relation(21 ^ []))))],extension(8,bind([[_29300, _29034, _29122], [23 ^ [], 22 ^ [], identity_relation(21 ^ [])]]))).
% 167.74/162.10 cnf('1.2.1.2.1',plain,[in(apply(23 ^ [], 22 ^ []), relation_dom(identity_relation(21 ^ []))), -(in(apply(23 ^ [], 22 ^ []), 21 ^ [])), apply(23 ^ [], 22 ^ []) = apply(23 ^ [], 22 ^ []), relation_dom(identity_relation(21 ^ [])) = 21 ^ []],extension(19,bind([[_17656, _17723, _17789, _17854], [apply(23 ^ [], 22 ^ []), apply(23 ^ [], 22 ^ []), relation_dom(identity_relation(21 ^ [])), 21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.1',plain,[in(apply(23 ^ [], 22 ^ []), 21 ^ []), -(24 ^ []), in(22 ^ [], relation_dom(23 ^ []))],extension(4)).
% 167.74/162.10 cnf('1.2.1.2.1.1.1',plain,[24 ^ []],reduction('1')).
% 167.74/162.10 cnf('1.2.1.2.1.1.2',plain,[-(in(22 ^ [], relation_dom(23 ^ []))), -(15 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []])],extension(9,bind([[_29300, _29122, _29034], [23 ^ [], identity_relation(21 ^ []), 22 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.1.2.1',plain,[15 ^ [23 ^ [], identity_relation(21 ^ []), 22 ^ []]],reduction('1.2.1')).
% 167.74/162.10 cnf('1.2.1.2.1.2',plain,[-(apply(23 ^ [], 22 ^ []) = apply(23 ^ [], 22 ^ [])), 23 ^ [] = 23 ^ [], 22 ^ [] = 22 ^ []],extension(15,bind([[_19657, _19724, _19790, _19855], [23 ^ [], 23 ^ [], 22 ^ [], 22 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.2.1',plain,[-(23 ^ [] = 23 ^ [])],extension(17,bind([[_15466], [23 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.2.2',plain,[-(22 ^ [] = 22 ^ [])],extension(17,bind([[_15466], [22 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3',plain,[-(relation_dom(identity_relation(21 ^ [])) = 21 ^ []), -(17 ^ [identity_relation(21 ^ []), 21 ^ []])],extension(6,bind([[_30373, _30294], [identity_relation(21 ^ []), 21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3.1',plain,[17 ^ [identity_relation(21 ^ []), 21 ^ []], -(20 ^ [identity_relation(21 ^ []), 21 ^ []]), identity_relation(21 ^ []) = identity_relation(21 ^ [])],extension(7,bind([[_30373, _30294], [identity_relation(21 ^ []), 21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3.1.1',plain,[20 ^ [identity_relation(21 ^ []), 21 ^ []], function(identity_relation(21 ^ [])), relation(identity_relation(21 ^ []))],extension(23,bind([[_30294, _30373], [21 ^ [], identity_relation(21 ^ [])]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3.1.1.1',plain,[-(function(identity_relation(21 ^ [])))],extension(21,bind([[_25089], [21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3.1.1.2',plain,[-(relation(identity_relation(21 ^ [])))],extension(20,bind([[_23098], [21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3.1.2',plain,[-(identity_relation(21 ^ []) = identity_relation(21 ^ [])), 21 ^ [] = 21 ^ []],extension(16,bind([[_20281, _20330], [21 ^ [], 21 ^ []]]))).
% 167.74/162.10 cnf('1.2.1.2.1.3.1.2.1',plain,[-(21 ^ [] = 21 ^ [])],extension(17,bind([[_15466], [21 ^ []]]))).
% 167.74/162.10 %-----------------------------------------------------
% 167.74/162.10
% 167.74/162.10 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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