TSTP Solution File: SEU225+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU225+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:01:11 EDT 2022
% Result : Theorem 0.83s 1.41s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU225+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.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 : Mon Jun 20 03:51:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.42
% 0.83/1.42 %-----------------------------------------------------
% 0.83/1.42 fof(t72_funct_1, conjecture, ! [_61847, _61850, _61853] : (relation(_61853) & function(_61853) => in(_61850, _61847) => apply(relation_dom_restriction(_61853, _61847), _61850) = apply(_61853, _61850)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t72_funct_1)).
% 0.83/1.42 fof(d4_funct_1, axiom, ! [_62192] : (relation(_62192) & function(_62192) => ! [_62214, _62217] : ((in(_62214, relation_dom(_62192)) => (_62217 = apply(_62192, _62214) <=> in(ordered_pair(_62214, _62217), _62192))) & (~ in(_62214, relation_dom(_62192)) => (_62217 = apply(_62192, _62214) <=> _62217 = empty_set)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_funct_1)).
% 0.83/1.42 fof(dt_k7_relat_1, axiom, ! [_62596, _62599] : (relation(_62596) => relation(relation_dom_restriction(_62596, _62599))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k7_relat_1)).
% 0.83/1.42 fof(fc4_funct_1, axiom, ! [_62756, _62759] : (relation(_62756) & function(_62756) => relation(relation_dom_restriction(_62756, _62759)) & function(relation_dom_restriction(_62756, _62759))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc4_funct_1)).
% 0.83/1.42 fof(l82_funct_1, axiom, ! [_62970, _62973, _62976] : (relation(_62976) & function(_62976) => (in(_62973, relation_dom(relation_dom_restriction(_62976, _62970))) <=> in(_62973, relation_dom(_62976)) & in(_62973, _62970))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l82_funct_1)).
% 0.83/1.42 fof(t68_funct_1, axiom, ! [_63254, _63257] : (relation(_63257) & function(_63257) => ! [_63279] : (relation(_63279) & function(_63279) => (_63257 = relation_dom_restriction(_63279, _63254) <=> relation_dom(_63257) = set_intersection2(relation_dom(_63279), _63254) & ! [_63335] : (in(_63335, relation_dom(_63257)) => apply(_63257, _63335) = apply(_63279, _63335))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t68_funct_1)).
% 0.83/1.42
% 0.83/1.42 cnf(1, plain, [-(relation(13 ^ []))], clausify(t72_funct_1)).
% 0.83/1.42 cnf(2, plain, [-(function(13 ^ []))], clausify(t72_funct_1)).
% 0.83/1.42 cnf(3, plain, [-(in(12 ^ [], 11 ^ []))], clausify(t72_funct_1)).
% 0.83/1.42 cnf(4, plain, [apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(13 ^ [], 12 ^ [])], clausify(t72_funct_1)).
% 0.83/1.42 cnf(5, plain, [-(apply(_21238, _21371) = apply(_21305, _21436)), _21238 = _21305, _21371 = _21436], theory(equality)).
% 0.83/1.42 cnf(6, plain, [-(relation_dom_restriction(_22815, _22948) = relation_dom_restriction(_22882, _23013)), _22815 = _22882, _22948 = _23013], theory(equality)).
% 0.83/1.42 cnf(7, plain, [-(_17342 = _17342)], theory(equality)).
% 0.83/1.42 cnf(8, plain, [-(_17774 = _17885), _17774 = _17830, _17830 = _17885], theory(equality)).
% 0.83/1.42 cnf(9, plain, [function(_26944), relation(_26944), -(in(_27134, relation_dom(_26944))), _27222 = apply(_26944, _27134), -(_27222 = empty_set)], clausify(d4_funct_1)).
% 0.83/1.42 cnf(10, plain, [function(_26944), relation(_26944), -(in(_27134, relation_dom(_26944))), -(_27222 = apply(_26944, _27134)), _27222 = empty_set], clausify(d4_funct_1)).
% 0.83/1.42 cnf(11, plain, [relation(_29311), -(relation(relation_dom_restriction(_29311, _29357)))], clausify(dt_k7_relat_1)).
% 0.83/1.42 cnf(12, plain, [-(function(relation_dom_restriction(_31868, _31927))), relation(_31868), function(_31868)], clausify(fc4_funct_1)).
% 0.83/1.42 cnf(13, plain, [function(_33547), relation(_33547), -(in(_33475, relation_dom(relation_dom_restriction(_33547, _33402)))), in(_33475, relation_dom(_33547)), in(_33475, _33402)], clausify(l82_funct_1)).
% 0.83/1.42 cnf(14, plain, [function(_36821), relation(_36821), function(_37016), relation(_37016), _36821 = relation_dom_restriction(_37016, _36716), in(_37424, relation_dom(_36821)), -(apply(_36821, _37424) = apply(_37016, _37424))], clausify(t68_funct_1)).
% 0.83/1.42
% 0.83/1.42 cnf('1',plain,[apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(13 ^ [], 12 ^ [])],start(4)).
% 0.83/1.42 cnf('1.1',plain,[-(apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(13 ^ [], 12 ^ [])), function(relation_dom_restriction(13 ^ [], 11 ^ [])), relation(relation_dom_restriction(13 ^ [], 11 ^ [])), function(13 ^ []), relation(13 ^ []), relation_dom_restriction(13 ^ [], 11 ^ []) = relation_dom_restriction(13 ^ [], 11 ^ []), in(12 ^ [], relation_dom(relation_dom_restriction(13 ^ [], 11 ^ [])))],extension(14,bind([[_37016, _36716, _37424, _36821], [13 ^ [], 11 ^ [], 12 ^ [], relation_dom_restriction(13 ^ [], 11 ^ [])]]))).
% 0.83/1.42 cnf('1.1.1',plain,[-(function(relation_dom_restriction(13 ^ [], 11 ^ []))), relation(13 ^ []), function(13 ^ [])],extension(12,bind([[_31927, _31868], [11 ^ [], 13 ^ []]]))).
% 0.83/1.42 cnf('1.1.1.1',plain,[-(relation(13 ^ []))],extension(1)).
% 0.83/1.42 cnf('1.1.1.2',plain,[-(function(13 ^ []))],extension(2)).
% 0.83/1.42 cnf('1.1.2',plain,[-(relation(relation_dom_restriction(13 ^ [], 11 ^ []))), relation(13 ^ [])],extension(11,bind([[_29357, _29311], [11 ^ [], 13 ^ []]]))).
% 0.83/1.42 cnf('1.1.2.1',plain,[-(relation(13 ^ []))],extension(1)).
% 0.83/1.42 cnf('1.1.3',plain,[-(function(13 ^ []))],extension(2)).
% 0.83/1.42 cnf('1.1.4',plain,[-(relation(13 ^ []))],extension(1)).
% 0.83/1.42 cnf('1.1.5',plain,[-(relation_dom_restriction(13 ^ [], 11 ^ []) = relation_dom_restriction(13 ^ [], 11 ^ [])), 13 ^ [] = 13 ^ [], 11 ^ [] = 11 ^ []],extension(6,bind([[_22815, _22882, _22948, _23013], [13 ^ [], 13 ^ [], 11 ^ [], 11 ^ []]]))).
% 0.83/1.42 cnf('1.1.5.1',plain,[-(13 ^ [] = 13 ^ [])],extension(7,bind([[_17342], [13 ^ []]]))).
% 0.83/1.42 cnf('1.1.5.2',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17342], [11 ^ []]]))).
% 0.83/1.42 cnf('1.1.6',plain,[-(in(12 ^ [], relation_dom(relation_dom_restriction(13 ^ [], 11 ^ [])))), function(relation_dom_restriction(13 ^ [], 11 ^ [])), relation(relation_dom_restriction(13 ^ [], 11 ^ [])), apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []), -(apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = empty_set)],extension(9,bind([[_26944, _27134, _27222], [relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ [], apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ [])]]))).
% 0.83/1.42 cnf('1.1.6.1',plain,[-(function(relation_dom_restriction(13 ^ [], 11 ^ [])))],lemmata('1.1')).
% 0.83/1.42 cnf('1.1.6.2',plain,[-(relation(relation_dom_restriction(13 ^ [], 11 ^ [])))],lemmata('1.1')).
% 0.83/1.42 cnf('1.1.6.3',plain,[-(apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ [])), relation_dom_restriction(13 ^ [], 11 ^ []) = relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ [] = 12 ^ []],extension(5,bind([[_21238, _21305, _21371, _21436], [relation_dom_restriction(13 ^ [], 11 ^ []), relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ [], 12 ^ []]]))).
% 0.83/1.42 cnf('1.1.6.3.1',plain,[-(relation_dom_restriction(13 ^ [], 11 ^ []) = relation_dom_restriction(13 ^ [], 11 ^ [])), 13 ^ [] = 13 ^ [], 11 ^ [] = 11 ^ []],extension(6,bind([[_22815, _22882, _22948, _23013], [13 ^ [], 13 ^ [], 11 ^ [], 11 ^ []]]))).
% 0.83/1.42 cnf('1.1.6.3.1.1',plain,[-(13 ^ [] = 13 ^ [])],extension(7,bind([[_17342], [13 ^ []]]))).
% 0.83/1.42 cnf('1.1.6.3.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(7,bind([[_17342], [11 ^ []]]))).
% 0.83/1.42 cnf('1.1.6.3.2',plain,[-(12 ^ [] = 12 ^ [])],extension(7,bind([[_17342], [12 ^ []]]))).
% 0.83/1.42 cnf('1.1.6.4',plain,[apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = empty_set, -(apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(13 ^ [], 12 ^ [])), empty_set = apply(13 ^ [], 12 ^ [])],extension(8,bind([[_17774, _17830, _17885], [apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []), empty_set, apply(13 ^ [], 12 ^ [])]]))).
% 0.83/1.42 cnf('1.1.6.4.1',plain,[apply(relation_dom_restriction(13 ^ [], 11 ^ []), 12 ^ []) = apply(13 ^ [], 12 ^ [])],extension(4)).
% 0.83/1.42 cnf('1.1.6.4.2',plain,[-(empty_set = apply(13 ^ [], 12 ^ [])), function(13 ^ []), relation(13 ^ []), -(in(12 ^ [], relation_dom(13 ^ []))), empty_set = empty_set],extension(10,bind([[_27134, _26944, _27222], [12 ^ [], 13 ^ [], empty_set]]))).
% 0.83/1.42 cnf('1.1.6.4.2.1',plain,[-(function(13 ^ []))],extension(2)).
% 0.83/1.42 cnf('1.1.6.4.2.2',plain,[-(relation(13 ^ []))],extension(1)).
% 0.83/1.42 cnf('1.1.6.4.2.3',plain,[in(12 ^ [], relation_dom(13 ^ [])), function(13 ^ []), relation(13 ^ []), -(in(12 ^ [], relation_dom(relation_dom_restriction(13 ^ [], 11 ^ [])))), in(12 ^ [], 11 ^ [])],extension(13,bind([[_33547, _33475, _33402], [13 ^ [], 12 ^ [], 11 ^ []]]))).
% 0.83/1.42 cnf('1.1.6.4.2.3.1',plain,[-(function(13 ^ []))],extension(2)).
% 0.83/1.42 cnf('1.1.6.4.2.3.2',plain,[-(relation(13 ^ []))],extension(1)).
% 0.83/1.42 cnf('1.1.6.4.2.3.3',plain,[in(12 ^ [], relation_dom(relation_dom_restriction(13 ^ [], 11 ^ [])))],reduction('1.1')).
% 0.83/1.42 cnf('1.1.6.4.2.3.4',plain,[-(in(12 ^ [], 11 ^ []))],extension(3)).
% 0.83/1.42 cnf('1.1.6.4.2.4',plain,[-(empty_set = empty_set)],extension(7,bind([[_17342], [empty_set]]))).
% 0.83/1.42 %-----------------------------------------------------
% 0.83/1.42
% 0.83/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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