TSTP Solution File: SET200+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:52:18 EDT 2022
% Result : Theorem 0.34s 1.42s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET200+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n012.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 23:01:13 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.34/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43
% 0.34/1.43 %-----------------------------------------------------
% 0.34/1.43 fof(prove_th34, conjecture, ! [_17694, _17697, _17700, _17703] : (subset(_17694, _17697) & subset(_17700, _17703) => subset(union(_17694, _17700), union(_17697, _17703))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th34)).
% 0.34/1.43 fof(union_defn, axiom, ! [_17950, _17953, _17956] : (member(_17956, union(_17950, _17953)) <=> member(_17956, _17950) | member(_17956, _17953)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.34/1.43 fof(subset_defn, axiom, ! [_18175, _18178] : (subset(_18175, _18178) <=> ! [_18196] : (member(_18196, _18175) => member(_18196, _18178))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.34/1.43
% 0.34/1.43 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_th34)).
% 0.34/1.43 cnf(2, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(prove_th34)).
% 0.34/1.43 cnf(3, plain, [subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ []))], clausify(prove_th34)).
% 0.34/1.43 cnf(4, plain, [-(member(_7927, union(_7810, _7869))), member(_7927, _7810)], clausify(union_defn)).
% 0.34/1.44 cnf(5, plain, [-(member(_7927, union(_7810, _7869))), member(_7927, _7869)], clausify(union_defn)).
% 0.34/1.44 cnf(6, plain, [member(_7927, union(_7810, _7869)), -(member(_7927, _7810)), -(member(_7927, _7869))], clausify(union_defn)).
% 0.34/1.44 cnf(7, plain, [-(subset(_8323, _8379)), -(member(1 ^ [_8379, _8323], _8323))], clausify(subset_defn)).
% 0.34/1.44 cnf(8, plain, [-(subset(_8323, _8379)), member(1 ^ [_8379, _8323], _8379)], clausify(subset_defn)).
% 0.34/1.44 cnf(9, plain, [subset(_8323, _8379), member(_8493, _8323), -(member(_8493, _8379))], clausify(subset_defn)).
% 0.34/1.44
% 0.34/1.44 cnf('1',plain,[subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ []))],start(3)).
% 0.34/1.44 cnf('1.1',plain,[-(subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ []))), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], union(3 ^ [], 5 ^ [])))],extension(7,bind([[_8379, _8323], [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])]]))).
% 0.34/1.44 cnf('1.1.1',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], union(3 ^ [], 5 ^ [])), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 3 ^ [])), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ []))],extension(6,bind([[_7810, _7927, _7869], [3 ^ [], 1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.1',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 3 ^ []), subset(3 ^ [], 4 ^ []), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ []))],extension(9,bind([[_8323, _8493, _8379], [3 ^ [], 1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.1.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.34/1.44 cnf('1.1.1.1.2',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ []), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 6 ^ [])))],extension(4,bind([[_7927, _7810, _7869], [1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ [], 6 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.1.2.1',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 6 ^ [])), -(subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ [])))],extension(8,bind([[_8323, _8379], [union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ [])]]))).
% 0.34/1.44 cnf('1.1.1.1.2.1.1',plain,[subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ []))],extension(3)).
% 0.34/1.44 cnf('1.1.1.2',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 5 ^ []), subset(5 ^ [], 6 ^ []), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 6 ^ []))],extension(9,bind([[_8323, _8493, _8379], [5 ^ [], 1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 6 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(2)).
% 0.34/1.44 cnf('1.1.1.2.2',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 6 ^ []), -(member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 6 ^ [])))],extension(5,bind([[_7927, _7810, _7869], [1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], 4 ^ [], 6 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.2.2.1',plain,[member(1 ^ [union(4 ^ [], 6 ^ []), union(3 ^ [], 5 ^ [])], union(4 ^ [], 6 ^ [])), -(subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ [])))],extension(8,bind([[_8323, _8379], [union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ [])]]))).
% 0.34/1.44 cnf('1.1.1.2.2.1.1',plain,[subset(union(3 ^ [], 5 ^ []), union(4 ^ [], 6 ^ []))],extension(3)).
% 0.34/1.44 %-----------------------------------------------------
% 0.34/1.44
% 0.34/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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