TSTP Solution File: SEU020+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 11:59:48 EDT 2022
% Result : Theorem 49.25s 48.05s
% Output : Proof 49.25s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 10:54:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 49.25/48.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.25/48.06 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.25/48.06
% 49.25/48.06 %-----------------------------------------------------
% 49.25/48.06 fof(t53_funct_1, conjecture, ! [_51973] : (relation(_51973) & function(_51973) => ? [_51995] : (relation(_51995) & function(_51995) & relation_composition(_51973, _51995) = identity_relation(relation_dom(_51973))) => one_to_one(_51973)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t53_funct_1)).
% 49.25/48.06 fof(t27_funct_1, axiom, ! [_52397] : (relation(_52397) & function(_52397) => ! [_52419] : (relation(_52419) & function(_52419) => relation_dom(relation_composition(_52419, _52397)) = relation_dom(_52419) => subset(relation_rng(_52419), relation_dom(_52397)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t27_funct_1)).
% 49.25/48.06 fof(t47_funct_1, axiom, ! [_52697] : (relation(_52697) & function(_52697) => ! [_52719] : (relation(_52719) & function(_52719) => one_to_one(relation_composition(_52719, _52697)) & subset(relation_rng(_52719), relation_dom(_52697)) => one_to_one(_52719))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t47_funct_1)).
% 49.25/48.06 fof(t52_funct_1, axiom, ! [_52995] : one_to_one(identity_relation(_52995)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t52_funct_1)).
% 49.25/48.06 fof(t71_relat_1, axiom, ! [_53106] : (relation_dom(identity_relation(_53106)) = _53106 & relation_rng(identity_relation(_53106)) = _53106), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t71_relat_1)).
% 49.25/48.06
% 49.25/48.06 cnf(1, plain, [-(relation(16 ^ []))], clausify(t53_funct_1)).
% 49.25/48.06 cnf(2, plain, [-(function(16 ^ []))], clausify(t53_funct_1)).
% 49.25/48.06 cnf(3, plain, [-(relation(17 ^ []))], clausify(t53_funct_1)).
% 49.25/48.06 cnf(4, plain, [-(function(17 ^ []))], clausify(t53_funct_1)).
% 49.25/48.06 cnf(5, plain, [-(relation_composition(16 ^ [], 17 ^ []) = identity_relation(relation_dom(16 ^ [])))], clausify(t53_funct_1)).
% 49.25/48.06 cnf(6, plain, [one_to_one(16 ^ [])], clausify(t53_funct_1)).
% 49.25/48.06 cnf(7, plain, [_22573 = _22622, -(relation_dom(_22573) = relation_dom(_22622))], theory(equality)).
% 49.25/48.06 cnf(8, plain, [_16909 = _16954, -(_16954 = _16909)], theory(equality)).
% 49.25/48.06 cnf(9, plain, [-(_17188 = _17299), _17188 = _17244, _17244 = _17299], theory(equality)).
% 49.25/48.06 cnf(10, plain, [-(one_to_one(_19619)), _19570 = _19619, one_to_one(_19570)], theory(equality)).
% 49.25/48.06 cnf(11, plain, [function(_30999), relation(_30999), function(_31166), relation(_31166), relation_dom(relation_composition(_31166, _30999)) = relation_dom(_31166), -(subset(relation_rng(_31166), relation_dom(_30999)))], clausify(t27_funct_1)).
% 49.25/48.06 cnf(12, plain, [function(_32377), relation(_32377), function(_32544), relation(_32544), -(one_to_one(_32544)), one_to_one(relation_composition(_32544, _32377)), subset(relation_rng(_32544), relation_dom(_32377))], clausify(t47_funct_1)).
% 49.25/48.06 cnf(13, plain, [-(one_to_one(identity_relation(_33541)))], clausify(t52_funct_1)).
% 49.25/48.06 cnf(14, plain, [-(relation_dom(identity_relation(_34430)) = _34430)], clausify(t71_relat_1)).
% 49.25/48.06
% 49.25/48.06 cnf('1',plain,[-(relation_composition(16 ^ [], 17 ^ []) = identity_relation(relation_dom(16 ^ [])))],start(5)).
% 49.25/48.06 cnf('1.1',plain,[relation_composition(16 ^ [], 17 ^ []) = identity_relation(relation_dom(16 ^ [])), -(identity_relation(relation_dom(16 ^ [])) = relation_composition(16 ^ [], 17 ^ []))],extension(8,bind([[_16954, _16909], [identity_relation(relation_dom(16 ^ [])), relation_composition(16 ^ [], 17 ^ [])]]))).
% 49.25/48.06 cnf('1.1.1',plain,[identity_relation(relation_dom(16 ^ [])) = relation_composition(16 ^ [], 17 ^ []), -(one_to_one(relation_composition(16 ^ [], 17 ^ []))), one_to_one(identity_relation(relation_dom(16 ^ [])))],extension(10,bind([[_19619, _19570], [relation_composition(16 ^ [], 17 ^ []), identity_relation(relation_dom(16 ^ []))]]))).
% 49.25/48.06 cnf('1.1.1.1',plain,[one_to_one(relation_composition(16 ^ [], 17 ^ [])), function(17 ^ []), relation(17 ^ []), function(16 ^ []), relation(16 ^ []), -(one_to_one(16 ^ [])), subset(relation_rng(16 ^ []), relation_dom(17 ^ []))],extension(12,bind([[_32544, _32377], [16 ^ [], 17 ^ []]]))).
% 49.25/48.06 cnf('1.1.1.1.1',plain,[-(function(17 ^ []))],extension(4)).
% 49.25/48.06 cnf('1.1.1.1.2',plain,[-(relation(17 ^ []))],extension(3)).
% 49.25/48.06 cnf('1.1.1.1.3',plain,[-(function(16 ^ []))],extension(2)).
% 49.25/48.06 cnf('1.1.1.1.4',plain,[-(relation(16 ^ []))],extension(1)).
% 49.25/48.06 cnf('1.1.1.1.5',plain,[one_to_one(16 ^ [])],extension(6)).
% 49.25/48.06 cnf('1.1.1.1.6',plain,[-(subset(relation_rng(16 ^ []), relation_dom(17 ^ []))), function(17 ^ []), relation(17 ^ []), function(16 ^ []), relation(16 ^ []), relation_dom(relation_composition(16 ^ [], 17 ^ [])) = relation_dom(16 ^ [])],extension(11,bind([[_30999, _31166], [17 ^ [], 16 ^ []]]))).
% 49.25/48.06 cnf('1.1.1.1.6.1',plain,[-(function(17 ^ []))],extension(4)).
% 49.25/48.06 cnf('1.1.1.1.6.2',plain,[-(relation(17 ^ []))],extension(3)).
% 49.25/48.06 cnf('1.1.1.1.6.3',plain,[-(function(16 ^ []))],extension(2)).
% 49.25/48.06 cnf('1.1.1.1.6.4',plain,[-(relation(16 ^ []))],extension(1)).
% 49.25/48.06 cnf('1.1.1.1.6.5',plain,[-(relation_dom(relation_composition(16 ^ [], 17 ^ [])) = relation_dom(16 ^ [])), relation_dom(relation_composition(16 ^ [], 17 ^ [])) = relation_dom(identity_relation(relation_dom(16 ^ []))), relation_dom(identity_relation(relation_dom(16 ^ []))) = relation_dom(16 ^ [])],extension(9,bind([[_17188, _17244, _17299], [relation_dom(relation_composition(16 ^ [], 17 ^ [])), relation_dom(identity_relation(relation_dom(16 ^ []))), relation_dom(16 ^ [])]]))).
% 49.25/48.06 cnf('1.1.1.1.6.5.1',plain,[-(relation_dom(relation_composition(16 ^ [], 17 ^ [])) = relation_dom(identity_relation(relation_dom(16 ^ [])))), relation_composition(16 ^ [], 17 ^ []) = identity_relation(relation_dom(16 ^ []))],extension(7,bind([[_22573, _22622], [relation_composition(16 ^ [], 17 ^ []), identity_relation(relation_dom(16 ^ []))]]))).
% 49.25/48.06 cnf('1.1.1.1.6.5.1.1',plain,[-(relation_composition(16 ^ [], 17 ^ []) = identity_relation(relation_dom(16 ^ [])))],extension(5)).
% 49.25/48.06 cnf('1.1.1.1.6.5.2',plain,[-(relation_dom(identity_relation(relation_dom(16 ^ []))) = relation_dom(16 ^ []))],extension(14,bind([[_34430], [relation_dom(16 ^ [])]]))).
% 49.25/48.06 cnf('1.1.1.2',plain,[-(one_to_one(identity_relation(relation_dom(16 ^ []))))],extension(13,bind([[_33541], [relation_dom(16 ^ [])]]))).
% 49.25/48.06 %-----------------------------------------------------
% 49.25/48.07
% 49.25/48.07 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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