TSTP Solution File: SET643+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 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 02:55:05 EDT 2022
% Result : Theorem 0.36s 1.42s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 04:05:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.43
% 0.36/1.43 %-----------------------------------------------------
% 0.36/1.43 fof(prove_relset_1_5, conjecture, ! [_46451] : (ilf_type(_46451, set_type) => ! [_46469] : (ilf_type(_46469, set_type) => ilf_type(cross_product(_46451, _46469), relation_type(_46451, _46469)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_relset_1_5)).
% 0.36/1.43 fof(p1, axiom, ! [_46712] : (ilf_type(_46712, set_type) => ! [_46730] : (ilf_type(_46730, set_type) => ! [_46748] : (ilf_type(_46748, set_type) => subset(_46712, cross_product(_46730, _46748)) => ilf_type(_46712, relation_type(_46730, _46748))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p1)).
% 0.36/1.43 fof(p3, axiom, ! [_47029] : (ilf_type(_47029, set_type) => ! [_47047] : (ilf_type(_47047, set_type) => ilf_type(cross_product(_47029, _47047), set_type))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p3)).
% 0.36/1.43 fof(p10, axiom, ! [_47249] : (ilf_type(_47249, set_type) => subset(_47249, _47249)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p10)).
% 0.36/1.43 fof(p19, axiom, ! [_47397] : ilf_type(_47397, set_type), file('/export/starexec/sandbox/benchmark/theBenchmark.p', p19)).
% 0.36/1.43
% 0.36/1.43 cnf(1, plain, [-(ilf_type(12 ^ [], set_type))], clausify(prove_relset_1_5)).
% 0.36/1.43 cnf(2, plain, [-(ilf_type(13 ^ [], set_type))], clausify(prove_relset_1_5)).
% 0.36/1.43 cnf(3, plain, [ilf_type(cross_product(12 ^ [], 13 ^ []), relation_type(12 ^ [], 13 ^ []))], clausify(prove_relset_1_5)).
% 0.36/1.43 cnf(4, plain, [ilf_type(_20362, set_type), ilf_type(_20495, set_type), ilf_type(_20621, set_type), subset(_20362, cross_product(_20495, _20621)), -(ilf_type(_20362, relation_type(_20495, _20621)))], clausify(p1)).
% 0.36/1.43 cnf(5, plain, [ilf_type(_22375, set_type), ilf_type(_22488, set_type), -(ilf_type(cross_product(_22375, _22488), set_type))], clausify(p3)).
% 0.36/1.43 cnf(6, plain, [ilf_type(_26323, set_type), -(subset(_26323, _26323))], clausify(p10)).
% 0.36/1.43 cnf(7, plain, [-(ilf_type(_30897, set_type))], clausify(p19)).
% 0.36/1.43
% 0.36/1.43 cnf('1',plain,[ilf_type(cross_product(12 ^ [], 13 ^ []), relation_type(12 ^ [], 13 ^ []))],start(3)).
% 0.36/1.43 cnf('1.1',plain,[-(ilf_type(cross_product(12 ^ [], 13 ^ []), relation_type(12 ^ [], 13 ^ []))), ilf_type(cross_product(12 ^ [], 13 ^ []), set_type), ilf_type(12 ^ [], set_type), ilf_type(13 ^ [], set_type), subset(cross_product(12 ^ [], 13 ^ []), cross_product(12 ^ [], 13 ^ []))],extension(4,bind([[_20362, _20495, _20621], [cross_product(12 ^ [], 13 ^ []), 12 ^ [], 13 ^ []]]))).
% 0.36/1.43 cnf('1.1.1',plain,[-(ilf_type(cross_product(12 ^ [], 13 ^ []), set_type)), ilf_type(12 ^ [], set_type), ilf_type(13 ^ [], set_type)],extension(5,bind([[_22375, _22488], [12 ^ [], 13 ^ []]]))).
% 0.36/1.43 cnf('1.1.1.1',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.36/1.43 cnf('1.1.1.2',plain,[-(ilf_type(13 ^ [], set_type))],extension(2)).
% 0.36/1.43 cnf('1.1.2',plain,[-(ilf_type(12 ^ [], set_type))],extension(1)).
% 0.36/1.43 cnf('1.1.3',plain,[-(ilf_type(13 ^ [], set_type))],extension(2)).
% 0.36/1.43 cnf('1.1.4',plain,[-(subset(cross_product(12 ^ [], 13 ^ []), cross_product(12 ^ [], 13 ^ []))), ilf_type(cross_product(12 ^ [], 13 ^ []), set_type)],extension(6,bind([[_26323], [cross_product(12 ^ [], 13 ^ [])]]))).
% 0.36/1.43 cnf('1.1.4.1',plain,[-(ilf_type(cross_product(12 ^ [], 13 ^ []), set_type))],extension(7,bind([[_30897], [cross_product(12 ^ [], 13 ^ [])]]))).
% 0.36/1.43 %-----------------------------------------------------
% 0.36/1.44
% 0.36/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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