TSTP Solution File: SET014+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET014+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 02:49:54 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET014+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n011.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 Jul 10 13:10:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(prove_union_subset, conjecture, ! [_16598, _16601, _16604] : (subset(_16598, _16601) & subset(_16604, _16601) => subset(union(_16598, _16604), _16601)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_union_subset)).
% 0.31/1.41 fof(union_defn, axiom, ! [_16829, _16832, _16835] : (member(_16835, union(_16829, _16832)) <=> member(_16835, _16829) | member(_16835, _16832)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.31/1.41 fof(subset_defn, axiom, ! [_17030, _17033] : (subset(_17030, _17033) <=> ! [_17051] : (member(_17051, _17030) => member(_17051, _17033))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_union_subset)).
% 0.31/1.41 cnf(2, plain, [-(subset(5 ^ [], 4 ^ []))], clausify(prove_union_subset)).
% 0.31/1.41 cnf(3, plain, [subset(union(3 ^ [], 5 ^ []), 4 ^ [])], clausify(prove_union_subset)).
% 0.31/1.41 cnf(4, plain, [member(_7859, union(_7742, _7801)), -(member(_7859, _7742)), -(member(_7859, _7801))], clausify(union_defn)).
% 0.31/1.41 cnf(5, plain, [-(subset(_8255, _8311)), -(member(1 ^ [_8311, _8255], _8255))], clausify(subset_defn)).
% 0.31/1.41 cnf(6, plain, [-(subset(_8255, _8311)), member(1 ^ [_8311, _8255], _8311)], clausify(subset_defn)).
% 0.31/1.41 cnf(7, plain, [subset(_8255, _8311), member(_8425, _8255), -(member(_8425, _8311))], clausify(subset_defn)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[subset(union(3 ^ [], 5 ^ []), 4 ^ [])],start(3)).
% 0.31/1.41 cnf('1.1',plain,[-(subset(union(3 ^ [], 5 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], union(3 ^ [], 5 ^ [])))],extension(5,bind([[_8311, _8255], [4 ^ [], union(3 ^ [], 5 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1',plain,[member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], union(3 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 3 ^ [])), -(member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 5 ^ []))],extension(4,bind([[_7742, _7859, _7801], [3 ^ [], 1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 3 ^ []), subset(3 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 4 ^ []))],extension(7,bind([[_8255, _8425, _8311], [3 ^ [], 1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.31/1.41 cnf('1.1.1.1.2',plain,[member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 4 ^ []), -(subset(union(3 ^ [], 5 ^ []), 4 ^ []))],extension(6,bind([[_8255, _8311], [union(3 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1.2.1',plain,[subset(union(3 ^ [], 5 ^ []), 4 ^ [])],extension(3)).
% 0.31/1.41 cnf('1.1.1.2',plain,[member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 5 ^ []), subset(5 ^ [], 4 ^ []), -(member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 4 ^ []))],extension(7,bind([[_8255, _8425, _8311], [5 ^ [], 1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.2.1',plain,[-(subset(5 ^ [], 4 ^ []))],extension(2)).
% 0.31/1.41 cnf('1.1.1.2.2',plain,[member(1 ^ [4 ^ [], union(3 ^ [], 5 ^ [])], 4 ^ []), -(subset(union(3 ^ [], 5 ^ []), 4 ^ []))],extension(6,bind([[_8255, _8311], [union(3 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.2.2.1',plain,[subset(union(3 ^ [], 5 ^ []), 4 ^ [])],extension(3)).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.42
% 0.31/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------