TSTP Solution File: SEU225+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU225+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 12:01:12 EDT 2022
% Result : Theorem 1.04s 1.38s
% Output : Proof 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU225+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n008.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 : Mon Jun 20 06:47:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.04/1.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.39 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.39
% 1.04/1.39 %-----------------------------------------------------
% 1.04/1.39 fof(t72_funct_1, conjecture, ! [_67347, _67350, _67353] : (relation(_67353) & function(_67353) => in(_67350, _67347) => apply(relation_dom_restriction(_67353, _67347), _67350) = apply(_67353, _67350)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t72_funct_1)).
% 1.04/1.39 fof(d4_funct_1, axiom, ! [_67694] : (relation(_67694) & function(_67694) => ! [_67716, _67719] : ((in(_67716, relation_dom(_67694)) => (_67719 = apply(_67694, _67716) <=> in(ordered_pair(_67716, _67719), _67694))) & (~ in(_67716, relation_dom(_67694)) => (_67719 = apply(_67694, _67716) <=> _67719 = empty_set)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_funct_1)).
% 1.04/1.39 fof(dt_k7_relat_1, axiom, ! [_68098, _68101] : (relation(_68098) => relation(relation_dom_restriction(_68098, _68101))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_relat_1)).
% 1.04/1.39 fof(fc4_funct_1, axiom, ! [_68259, _68262] : (relation(_68259) & function(_68259) => relation(relation_dom_restriction(_68259, _68262)) & function(relation_dom_restriction(_68259, _68262))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc4_funct_1)).
% 1.04/1.39 fof(l82_funct_1, axiom, ! [_68473, _68476, _68479] : (relation(_68479) & function(_68479) => (in(_68476, relation_dom(relation_dom_restriction(_68479, _68473))) <=> in(_68476, relation_dom(_68479)) & in(_68476, _68473))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l82_funct_1)).
% 1.04/1.39 fof(t68_funct_1, axiom, ! [_68766, _68769] : (relation(_68769) & function(_68769) => ! [_68791] : (relation(_68791) & function(_68791) => (_68769 = relation_dom_restriction(_68791, _68766) <=> relation_dom(_68769) = set_intersection2(relation_dom(_68791), _68766) & ! [_68847] : (in(_68847, relation_dom(_68769)) => apply(_68769, _68847) = apply(_68791, _68847))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t68_funct_1)).
% 1.04/1.39
% 1.04/1.39 cnf(1, plain, [-(relation(15 ^ []))], clausify(t72_funct_1)).
% 1.04/1.39 cnf(2, plain, [-(function(15 ^ []))], clausify(t72_funct_1)).
% 1.04/1.39 cnf(3, plain, [-(in(14 ^ [], 13 ^ []))], clausify(t72_funct_1)).
% 1.04/1.39 cnf(4, plain, [apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])], clausify(t72_funct_1)).
% 1.04/1.39 cnf(5, plain, [-(apply(_23815, _23948) = apply(_23882, _24013)), _23815 = _23882, _23948 = _24013], theory(equality)).
% 1.04/1.39 cnf(6, plain, [-(relation_dom_restriction(_25721, _25854) = relation_dom_restriction(_25788, _25919)), _25721 = _25788, _25854 = _25919], theory(equality)).
% 1.04/1.39 cnf(7, plain, [-(_19280 = _19280)], theory(equality)).
% 1.04/1.39 cnf(8, plain, [-(_19712 = _19823), _19712 = _19768, _19768 = _19823], theory(equality)).
% 1.04/1.39 cnf(9, plain, [function(_29865), relation(_29865), -(in(_30055, relation_dom(_29865))), _30143 = apply(_29865, _30055), -(_30143 = empty_set)], clausify(d4_funct_1)).
% 1.04/1.39 cnf(10, plain, [function(_29865), relation(_29865), -(in(_30055, relation_dom(_29865))), -(_30143 = apply(_29865, _30055)), _30143 = empty_set], clausify(d4_funct_1)).
% 1.04/1.39 cnf(11, plain, [relation(_31301), -(relation(relation_dom_restriction(_31301, _31347)))], clausify(dt_k7_relat_1)).
% 1.04/1.39 cnf(12, plain, [-(function(relation_dom_restriction(_33913, _33972))), relation(_33913), function(_33913)], clausify(fc4_funct_1)).
% 1.04/1.39 cnf(13, plain, [function(_35592), relation(_35592), -(in(_35520, relation_dom(relation_dom_restriction(_35592, _35447)))), in(_35520, relation_dom(_35592)), in(_35520, _35447)], clausify(l82_funct_1)).
% 1.04/1.39 cnf(14, plain, [function(_41108), relation(_41108), function(_41303), relation(_41303), _41108 = relation_dom_restriction(_41303, _41003), in(_41711, relation_dom(_41108)), -(apply(_41108, _41711) = apply(_41303, _41711))], clausify(t68_funct_1)).
% 1.04/1.39
% 1.04/1.39 cnf('1',plain,[apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])],start(4)).
% 1.04/1.39 cnf('1.1',plain,[-(apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])), function(relation_dom_restriction(15 ^ [], 13 ^ [])), relation(relation_dom_restriction(15 ^ [], 13 ^ [])), function(15 ^ []), relation(15 ^ []), relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ []), in(14 ^ [], relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])))],extension(14,bind([[_41303, _41003, _41711, _41108], [15 ^ [], 13 ^ [], 14 ^ [], relation_dom_restriction(15 ^ [], 13 ^ [])]]))).
% 1.04/1.39 cnf('1.1.1',plain,[-(function(relation_dom_restriction(15 ^ [], 13 ^ []))), relation(15 ^ []), function(15 ^ [])],extension(12,bind([[_33972, _33913], [13 ^ [], 15 ^ []]]))).
% 1.04/1.39 cnf('1.1.1.1',plain,[-(relation(15 ^ []))],extension(1)).
% 1.04/1.39 cnf('1.1.1.2',plain,[-(function(15 ^ []))],extension(2)).
% 1.04/1.39 cnf('1.1.2',plain,[-(relation(relation_dom_restriction(15 ^ [], 13 ^ []))), relation(15 ^ [])],extension(11,bind([[_31347, _31301], [13 ^ [], 15 ^ []]]))).
% 1.04/1.39 cnf('1.1.2.1',plain,[-(relation(15 ^ []))],extension(1)).
% 1.04/1.39 cnf('1.1.3',plain,[-(function(15 ^ []))],extension(2)).
% 1.04/1.39 cnf('1.1.4',plain,[-(relation(15 ^ []))],extension(1)).
% 1.04/1.39 cnf('1.1.5',plain,[-(relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ [])), 15 ^ [] = 15 ^ [], 13 ^ [] = 13 ^ []],extension(6,bind([[_25721, _25788, _25854, _25919], [15 ^ [], 15 ^ [], 13 ^ [], 13 ^ []]]))).
% 1.04/1.39 cnf('1.1.5.1',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_19280], [15 ^ []]]))).
% 1.04/1.39 cnf('1.1.5.2',plain,[-(13 ^ [] = 13 ^ [])],extension(7,bind([[_19280], [13 ^ []]]))).
% 1.04/1.39 cnf('1.1.6',plain,[-(in(14 ^ [], relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])))), function(relation_dom_restriction(15 ^ [], 13 ^ [])), relation(relation_dom_restriction(15 ^ [], 13 ^ [])), apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []), -(apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = empty_set)],extension(9,bind([[_29865, _30055, _30143], [relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ [], apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ [])]]))).
% 1.04/1.39 cnf('1.1.6.1',plain,[-(function(relation_dom_restriction(15 ^ [], 13 ^ [])))],lemmata('1.1')).
% 1.04/1.39 cnf('1.1.6.2',plain,[-(relation(relation_dom_restriction(15 ^ [], 13 ^ [])))],lemmata('1.1')).
% 1.04/1.39 cnf('1.1.6.3',plain,[-(apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ [])), relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ [] = 14 ^ []],extension(5,bind([[_23815, _23882, _23948, _24013], [relation_dom_restriction(15 ^ [], 13 ^ []), relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ [], 14 ^ []]]))).
% 1.04/1.39 cnf('1.1.6.3.1',plain,[-(relation_dom_restriction(15 ^ [], 13 ^ []) = relation_dom_restriction(15 ^ [], 13 ^ [])), 15 ^ [] = 15 ^ [], 13 ^ [] = 13 ^ []],extension(6,bind([[_25721, _25788, _25854, _25919], [15 ^ [], 15 ^ [], 13 ^ [], 13 ^ []]]))).
% 1.04/1.39 cnf('1.1.6.3.1.1',plain,[-(15 ^ [] = 15 ^ [])],extension(7,bind([[_19280], [15 ^ []]]))).
% 1.04/1.39 cnf('1.1.6.3.1.2',plain,[-(13 ^ [] = 13 ^ [])],extension(7,bind([[_19280], [13 ^ []]]))).
% 1.04/1.39 cnf('1.1.6.3.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_19280], [14 ^ []]]))).
% 1.04/1.39 cnf('1.1.6.4',plain,[apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = empty_set, -(apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])), empty_set = apply(15 ^ [], 14 ^ [])],extension(8,bind([[_19712, _19768, _19823], [apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []), empty_set, apply(15 ^ [], 14 ^ [])]]))).
% 1.04/1.39 cnf('1.1.6.4.1',plain,[apply(relation_dom_restriction(15 ^ [], 13 ^ []), 14 ^ []) = apply(15 ^ [], 14 ^ [])],extension(4)).
% 1.04/1.39 cnf('1.1.6.4.2',plain,[-(empty_set = apply(15 ^ [], 14 ^ [])), function(15 ^ []), relation(15 ^ []), -(in(14 ^ [], relation_dom(15 ^ []))), empty_set = empty_set],extension(10,bind([[_30055, _29865, _30143], [14 ^ [], 15 ^ [], empty_set]]))).
% 1.04/1.39 cnf('1.1.6.4.2.1',plain,[-(function(15 ^ []))],extension(2)).
% 1.04/1.39 cnf('1.1.6.4.2.2',plain,[-(relation(15 ^ []))],extension(1)).
% 1.04/1.39 cnf('1.1.6.4.2.3',plain,[in(14 ^ [], relation_dom(15 ^ [])), function(15 ^ []), relation(15 ^ []), -(in(14 ^ [], relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])))), in(14 ^ [], 13 ^ [])],extension(13,bind([[_35592, _35520, _35447], [15 ^ [], 14 ^ [], 13 ^ []]]))).
% 1.04/1.39 cnf('1.1.6.4.2.3.1',plain,[-(function(15 ^ []))],extension(2)).
% 1.04/1.39 cnf('1.1.6.4.2.3.2',plain,[-(relation(15 ^ []))],extension(1)).
% 1.04/1.39 cnf('1.1.6.4.2.3.3',plain,[in(14 ^ [], relation_dom(relation_dom_restriction(15 ^ [], 13 ^ [])))],reduction('1.1')).
% 1.04/1.39 cnf('1.1.6.4.2.3.4',plain,[-(in(14 ^ [], 13 ^ []))],extension(3)).
% 1.04/1.39 cnf('1.1.6.4.2.4',plain,[-(empty_set = empty_set)],extension(7,bind([[_19280], [empty_set]]))).
% 1.04/1.39 %-----------------------------------------------------
% 1.04/1.40
% 1.04/1.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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