TSTP Solution File: SEU025+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SEU025+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 11:59:49 EDT 2022
% Result : Theorem 46.09s 44.95s
% Output : Proof 46.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU025+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n009.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 : Sun Jun 19 16:03:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 46.09/44.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.09/44.96 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.09/44.96
% 46.09/44.96 %-----------------------------------------------------
% 46.09/44.96 fof(t55_funct_1, axiom, ! [_59758] : (relation(_59758) & function(_59758) => one_to_one(_59758) => relation_rng(_59758) = relation_dom(function_inverse(_59758)) & relation_dom(_59758) = relation_rng(function_inverse(_59758))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t55_funct_1)).
% 46.09/44.96 fof(dt_k2_funct_1, axiom, ! [_60026] : (relation(_60026) & function(_60026) => relation(function_inverse(_60026)) & function(function_inverse(_60026))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_funct_1)).
% 46.09/44.96 fof(t58_funct_1, conjecture, ! [_60210] : (relation(_60210) & function(_60210) => one_to_one(_60210) => relation_dom(relation_composition(_60210, function_inverse(_60210))) = relation_dom(_60210) & relation_rng(relation_composition(_60210, function_inverse(_60210))) = relation_dom(_60210)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t58_funct_1)).
% 46.09/44.96 fof(reflexivity_r1_tarski, axiom, ! [_60633, _60636] : subset(_60633, _60633), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 46.09/44.96 fof(t46_relat_1, axiom, ! [_60755] : (relation(_60755) => ! [_60770] : (relation(_60770) => subset(relation_rng(_60755), relation_dom(_60770)) => relation_dom(relation_composition(_60755, _60770)) = relation_dom(_60755))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_relat_1)).
% 46.09/44.96 fof(t47_relat_1, axiom, ! [_61010] : (relation(_61010) => ! [_61025] : (relation(_61025) => subset(relation_dom(_61010), relation_rng(_61025)) => relation_rng(relation_composition(_61025, _61010)) = relation_rng(_61010))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t47_relat_1)).
% 46.09/44.96
% 46.09/44.96 cnf(1, plain, [-(20 ^ [_35195]), -(relation_dom(_35195) = relation_rng(function_inverse(_35195)))], clausify(t55_funct_1)).
% 46.09/44.96 cnf(2, plain, [-(20 ^ [_35195]), -(relation_rng(_35195) = relation_dom(function_inverse(_35195)))], clausify(t55_funct_1)).
% 46.09/44.96 cnf(3, plain, [-(2 ^ [_25479]), -(relation(function_inverse(_25479)))], clausify(dt_k2_funct_1)).
% 46.09/44.96 cnf(4, plain, [-(relation(21 ^ []))], clausify(t58_funct_1)).
% 46.09/44.96 cnf(5, plain, [-(function(21 ^ []))], clausify(t58_funct_1)).
% 46.09/44.96 cnf(6, plain, [-(one_to_one(21 ^ []))], clausify(t58_funct_1)).
% 46.09/44.96 cnf(7, plain, [relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ []), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])], clausify(t58_funct_1)).
% 46.09/44.96 cnf(8, plain, [-(_17726 = _17726)], theory(equality)).
% 46.09/44.96 cnf(9, plain, [_17879 = _17924, -(_17924 = _17879)], theory(equality)).
% 46.09/44.96 cnf(10, plain, [-(_18158 = _18269), _18158 = _18214, _18214 = _18269], theory(equality)).
% 46.09/44.96 cnf(11, plain, [-(subset(_21584, _21715)), subset(_21517, _21650), _21517 = _21584, _21650 = _21715], theory(equality)).
% 46.09/44.96 cnf(12, plain, [2 ^ [_25479], relation(_25479), function(_25479)], clausify(dt_k2_funct_1)).
% 46.09/44.96 cnf(13, plain, [-(subset(_32361, _32361))], clausify(reflexivity_r1_tarski)).
% 46.09/44.96 cnf(14, plain, [relation(_33598), relation(_33702), subset(relation_rng(_33598), relation_dom(_33702)), -(relation_dom(relation_composition(_33598, _33702)) = relation_dom(_33598))], clausify(t46_relat_1)).
% 46.09/44.96 cnf(15, plain, [relation(_34152), relation(_34256), subset(relation_dom(_34152), relation_rng(_34256)), -(relation_rng(relation_composition(_34256, _34152)) = relation_rng(_34152))], clausify(t47_relat_1)).
% 46.09/44.96 cnf(16, plain, [function(_35195), relation(_35195), one_to_one(_35195), 20 ^ [_35195]], clausify(t55_funct_1)).
% 46.09/44.96
% 46.09/44.96 cnf('1',plain,[-(relation(21 ^ []))],start(4)).
% 46.09/44.96 cnf('1.1',plain,[relation(21 ^ []), function(21 ^ []), one_to_one(21 ^ []), 20 ^ [21 ^ []]],extension(16,bind([[_35195], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.1',plain,[-(function(21 ^ []))],extension(5)).
% 46.09/44.96 cnf('1.1.2',plain,[-(one_to_one(21 ^ []))],extension(6)).
% 46.09/44.96 cnf('1.1.3',plain,[-(20 ^ [21 ^ []]), -(relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ [])))],extension(1,bind([[_35195], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1',plain,[relation_dom(21 ^ []) = relation_rng(function_inverse(21 ^ [])), -(relation_dom(21 ^ []) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))), relation_rng(function_inverse(21 ^ [])) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))],extension(10,bind([[_18158, _18214, _18269], [relation_dom(21 ^ []), relation_rng(function_inverse(21 ^ [])), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))]]))).
% 46.09/44.96 cnf('1.1.3.1.1',plain,[relation_dom(21 ^ []) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))), -(relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))), relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])],extension(10,bind([[_18269, _18158, _18214], [relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))), relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))), relation_dom(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.1.1',plain,[relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))), -(relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])],extension(10,bind([[_18158, _18214, _18269], [relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))), relation_dom(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.1.1.1',plain,[relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ []), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])],extension(7)).
% 46.09/44.96 cnf('1.1.3.1.1.1.1.1',plain,[-(relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))],extension(9,bind([[_17879, _17924], [relation_dom(21 ^ []), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))]]))).
% 46.09/44.96 cnf('1.1.3.1.1.1.1.1.1',plain,[-(relation_dom(21 ^ []) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))))],reduction('1.1.3.1')).
% 46.09/44.96 cnf('1.1.3.1.1.1.2',plain,[-(relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])), relation_dom(21 ^ []) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))],extension(9,bind([[_17879, _17924], [relation_dom(21 ^ []), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))]]))).
% 46.09/44.96 cnf('1.1.3.1.1.1.2.1',plain,[-(relation_dom(21 ^ []) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))))],reduction('1.1.3.1')).
% 46.09/44.96 cnf('1.1.3.1.1.2',plain,[-(relation_dom(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_dom(21 ^ [])), relation(21 ^ []), relation(function_inverse(21 ^ [])), subset(relation_rng(21 ^ []), relation_dom(function_inverse(21 ^ [])))],extension(14,bind([[_33598, _33702], [21 ^ [], function_inverse(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.1',plain,[-(relation(21 ^ []))],extension(4)).
% 46.09/44.96 cnf('1.1.3.1.1.2.2',plain,[-(relation(function_inverse(21 ^ []))), -(2 ^ [21 ^ []])],extension(3,bind([[_25479], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.2.1',plain,[2 ^ [21 ^ []], relation(21 ^ []), function(21 ^ [])],extension(12,bind([[_25479], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.2.1.1',plain,[-(relation(21 ^ []))],extension(4)).
% 46.09/44.96 cnf('1.1.3.1.1.2.2.1.2',plain,[-(function(21 ^ []))],extension(5)).
% 46.09/44.96 cnf('1.1.3.1.1.2.3',plain,[-(subset(relation_rng(21 ^ []), relation_dom(function_inverse(21 ^ [])))), subset(relation_rng(21 ^ []), relation_rng(21 ^ [])), relation_rng(21 ^ []) = relation_rng(21 ^ []), relation_rng(21 ^ []) = relation_dom(function_inverse(21 ^ []))],extension(11,bind([[_21517, _21584, _21650, _21715], [relation_rng(21 ^ []), relation_rng(21 ^ []), relation_rng(21 ^ []), relation_dom(function_inverse(21 ^ []))]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.3.1',plain,[-(subset(relation_rng(21 ^ []), relation_rng(21 ^ [])))],extension(13,bind([[_32361], [relation_rng(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.3.2',plain,[-(relation_rng(21 ^ []) = relation_rng(21 ^ []))],extension(8,bind([[_17726], [relation_rng(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.3.3',plain,[-(relation_rng(21 ^ []) = relation_dom(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(2,bind([[_35195], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.1.2.3.3.1',plain,[20 ^ [21 ^ []]],reduction('1.1')).
% 46.09/44.96 cnf('1.1.3.1.2',plain,[-(relation_rng(function_inverse(21 ^ [])) = relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ [])))), relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_rng(function_inverse(21 ^ []))],extension(9,bind([[_17879, _17924], [relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))), relation_rng(function_inverse(21 ^ []))]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1',plain,[-(relation_rng(relation_composition(21 ^ [], function_inverse(21 ^ []))) = relation_rng(function_inverse(21 ^ []))), relation(function_inverse(21 ^ [])), relation(21 ^ []), subset(relation_dom(function_inverse(21 ^ [])), relation_rng(21 ^ []))],extension(15,bind([[_34152, _34256], [function_inverse(21 ^ []), 21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1.1',plain,[-(relation(function_inverse(21 ^ []))), -(2 ^ [21 ^ []])],extension(3,bind([[_25479], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1.1.1',plain,[2 ^ [21 ^ []], relation(21 ^ []), function(21 ^ [])],extension(12,bind([[_25479], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1.1.1.1',plain,[-(relation(21 ^ []))],extension(4)).
% 46.09/44.96 cnf('1.1.3.1.2.1.1.1.2',plain,[-(function(21 ^ []))],extension(5)).
% 46.09/44.96 cnf('1.1.3.1.2.1.2',plain,[-(relation(21 ^ []))],extension(4)).
% 46.09/44.96 cnf('1.1.3.1.2.1.3',plain,[-(subset(relation_dom(function_inverse(21 ^ [])), relation_rng(21 ^ []))), subset(relation_rng(21 ^ []), relation_rng(21 ^ [])), relation_rng(21 ^ []) = relation_dom(function_inverse(21 ^ [])), relation_rng(21 ^ []) = relation_rng(21 ^ [])],extension(11,bind([[_21517, _21584, _21650, _21715], [relation_rng(21 ^ []), relation_dom(function_inverse(21 ^ [])), relation_rng(21 ^ []), relation_rng(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1.3.1',plain,[-(subset(relation_rng(21 ^ []), relation_rng(21 ^ [])))],extension(13,bind([[_32361], [relation_rng(21 ^ [])]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1.3.2',plain,[-(relation_rng(21 ^ []) = relation_dom(function_inverse(21 ^ []))), -(20 ^ [21 ^ []])],extension(2,bind([[_35195], [21 ^ []]]))).
% 46.09/44.96 cnf('1.1.3.1.2.1.3.2.1',plain,[20 ^ [21 ^ []]],reduction('1.1')).
% 46.09/44.96 cnf('1.1.3.1.2.1.3.3',plain,[-(relation_rng(21 ^ []) = relation_rng(21 ^ []))],extension(8,bind([[_17726], [relation_rng(21 ^ [])]]))).
% 46.09/44.96 %-----------------------------------------------------
% 46.15/44.97
% 46.15/44.97 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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