TSTP Solution File: SET676+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 02:55:19 EDT 2022
% Result : Theorem 0.37s 1.40s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 12:33:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.41 fof(prove_relset_1_41, conjecture, ! [_44303] : (ilf_type(_44303, set_type) => ilf_type(cross_product(_44303, _44303), identity_relation_of_type(_44303))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_relset_1_41)).
% 0.37/1.41 fof(p1, axiom, ! [_44488] : (ilf_type(_44488, set_type) => ! [_44506] : (ilf_type(_44506, set_type) => ilf_type(cross_product(_44488, _44506), relation_type(_44488, _44506)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p1)).
% 0.37/1.41 fof(p3, axiom, ! [_44719] : (ilf_type(_44719, set_type) => ! [_44737] : (ilf_type(_44737, set_type) => ilf_type(cross_product(_44719, _44737), set_type))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p3)).
% 0.37/1.41 fof(p4, axiom, ! [_44929] : (ilf_type(_44929, set_type) => ! [_44947] : (ilf_type(_44947, set_type) => (ilf_type(_44947, identity_relation_of_type(_44929)) <=> ilf_type(_44947, relation_type(_44929, _44929))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p4)).
% 0.37/1.41
% 0.37/1.41 cnf(1, plain, [-(ilf_type(12 ^ [], set_type))], clausify(prove_relset_1_41)).
% 0.37/1.41 cnf(2, plain, [ilf_type(cross_product(12 ^ [], 12 ^ []), identity_relation_of_type(12 ^ []))], clausify(prove_relset_1_41)).
% 0.37/1.41 cnf(3, plain, [ilf_type(_19627, set_type), ilf_type(_19743, set_type), -(ilf_type(cross_product(_19627, _19743), relation_type(_19627, _19743)))], clausify(p1)).
% 0.37/1.41 cnf(4, plain, [ilf_type(_21391, set_type), ilf_type(_21504, set_type), -(ilf_type(cross_product(_21391, _21504), set_type))], clausify(p3)).
% 0.37/1.41 cnf(5, plain, [ilf_type(_21824, set_type), ilf_type(_21945, set_type), -(ilf_type(_21945, identity_relation_of_type(_21824))), ilf_type(_21945, relation_type(_21824, _21824))], clausify(p4)).
% 0.37/1.41
% 0.37/1.41 cnf('1',plain,[ilf_type(cross_product(12 ^ [], 12 ^ []), identity_relation_of_type(12 ^ []))],start(2)).
% 0.37/1.41 cnf('1.1',plain,[-(ilf_type(cross_product(12 ^ [], 12 ^ []), identity_relation_of_type(12 ^ []))), ilf_type(12 ^ [], set_type), ilf_type(cross_product(12 ^ [], 12 ^ []), set_type), ilf_type(cross_product(12 ^ [], 12 ^ []), relation_type(12 ^ [], 12 ^ []))],extension(5,bind([[_21945, _21824], [cross_product(12 ^ [], 12 ^ []), 12 ^ []]]))).
% 0.37/1.41 cnf('1.1.1',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.37/1.41 cnf('1.1.2',plain,[-(ilf_type(cross_product(12 ^ [], 12 ^ []), set_type)), ilf_type(12 ^ [], set_type), ilf_type(12 ^ [], set_type)],extension(4,bind([[_21391, _21504], [12 ^ [], 12 ^ []]]))).
% 0.37/1.41 cnf('1.1.2.1',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.37/1.41 cnf('1.1.2.2',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.37/1.41 cnf('1.1.3',plain,[-(ilf_type(cross_product(12 ^ [], 12 ^ []), relation_type(12 ^ [], 12 ^ []))), ilf_type(12 ^ [], set_type), ilf_type(12 ^ [], set_type)],extension(3,bind([[_19627, _19743], [12 ^ [], 12 ^ []]]))).
% 0.37/1.41 cnf('1.1.3.1',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.37/1.41 cnf('1.1.3.2',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.37/1.41 %-----------------------------------------------------
% 0.37/1.42
% 0.37/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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