TSTP Solution File: SET199+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 02:52:17 EDT 2022
% Result : Theorem 0.33s 1.41s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET199+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n014.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 02:02:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/1.42
% 0.41/1.42 %-----------------------------------------------------
% 0.41/1.42 fof(prove_intersection_of_subsets, conjecture, ! [_17077, _17080, _17083] : (subset(_17077, _17080) & subset(_17077, _17083) => subset(_17077, intersection(_17080, _17083))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_of_subsets)).
% 0.41/1.42 fof(intersection_defn, axiom, ! [_17307, _17310, _17313] : (member(_17313, intersection(_17307, _17310)) <=> member(_17313, _17307) & member(_17313, _17310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.41/1.42 fof(subset_defn, axiom, ! [_17520, _17523] : (subset(_17520, _17523) <=> ! [_17541] : (member(_17541, _17520) => member(_17541, _17523))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.41/1.42
% 0.41/1.42 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_intersection_of_subsets)).
% 0.41/1.42 cnf(2, plain, [-(subset(3 ^ [], 5 ^ []))], clausify(prove_intersection_of_subsets)).
% 0.41/1.42 cnf(3, plain, [subset(3 ^ [], intersection(4 ^ [], 5 ^ []))], clausify(prove_intersection_of_subsets)).
% 0.41/1.42 cnf(4, plain, [member(_7831, intersection(_7714, _7773)), -(member(_7831, _7773))], clausify(intersection_defn)).
% 0.41/1.42 cnf(5, plain, [-(member(_7831, intersection(_7714, _7773))), member(_7831, _7714), member(_7831, _7773)], clausify(intersection_defn)).
% 0.41/1.42 cnf(6, plain, [-(subset(_8227, _8283)), -(member(1 ^ [_8283, _8227], _8227))], clausify(subset_defn)).
% 0.41/1.42 cnf(7, plain, [-(subset(_8227, _8283)), member(1 ^ [_8283, _8227], _8283)], clausify(subset_defn)).
% 0.41/1.42 cnf(8, plain, [subset(_8227, _8283), member(_8397, _8227), -(member(_8397, _8283))], clausify(subset_defn)).
% 0.41/1.42
% 0.41/1.42 cnf('1',plain,[subset(3 ^ [], intersection(4 ^ [], 5 ^ []))],start(3)).
% 0.41/1.42 cnf('1.1',plain,[-(subset(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],extension(6,bind([[_8283, _8227], [intersection(4 ^ [], 5 ^ []), 3 ^ []]]))).
% 0.41/1.42 cnf('1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))],extension(5,bind([[_7714, _7831, _7773], [3 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ [])]]))).
% 0.41/1.42 cnf('1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ [])))],extension(4,bind([[_7714, _7831, _7773], [3 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ [])]]))).
% 0.41/1.42 cnf('1.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ [])), -(subset(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(7,bind([[_8227, _8283], [3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.41/1.42 cnf('1.1.1.1.1.1',plain,[subset(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(3)).
% 0.41/1.42 cnf('1.1.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], intersection(4 ^ [], 5 ^ []))), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ [])],extension(5,bind([[_7714, _7831, _7773], [4 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.2.1',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 4 ^ [])), subset(3 ^ [], 4 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(8,bind([[_8283, _8397, _8227], [4 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.2.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.41/1.42 cnf('1.1.1.2.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],reduction('1.1')).
% 0.41/1.42 cnf('1.1.1.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 5 ^ [])), subset(3 ^ [], 5 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ [])],extension(8,bind([[_8283, _8397, _8227], [5 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []]]))).
% 0.41/1.42 cnf('1.1.1.2.2.1',plain,[-(subset(3 ^ [], 5 ^ []))],extension(2)).
% 0.41/1.42 cnf('1.1.1.2.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 3 ^ []], 3 ^ []))],reduction('1.1')).
% 0.41/1.42 %-----------------------------------------------------
% 0.41/1.42
% 0.41/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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