TSTP Solution File: SET638+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 02:55:03 EDT 2022
% Result : Theorem 0.42s 1.43s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET638+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 23:42:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.42/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/1.45
% 0.42/1.45 %-----------------------------------------------------
% 0.42/1.45 fof(prove_th120, conjecture, ! [_28085, _28088, _28091] : (subset(_28085, union(_28088, _28091)) & intersection(_28085, _28091) = empty_set => subset(_28085, _28088)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th120)).
% 0.42/1.45 fof(union_defn, axiom, ! [_28356, _28359, _28362] : (member(_28362, union(_28356, _28359)) <=> member(_28362, _28356) | member(_28362, _28359)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 0.42/1.45 fof(empty_set_defn, axiom, ! [_28557] : ~ member(_28557, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.42/1.45 fof(intersection_defn, axiom, ! [_28673, _28676, _28679] : (member(_28679, intersection(_28673, _28676)) <=> member(_28679, _28673) & member(_28679, _28676)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.42/1.45 fof(subset_defn, axiom, ! [_28874, _28877] : (subset(_28874, _28877) <=> ! [_28895] : (member(_28895, _28874) => member(_28895, _28877))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.42/1.45 fof(empty_defn, axiom, ! [_29108] : (empty(_29108) <=> ! [_29123] : ~ member(_29123, _29108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_defn)).
% 0.42/1.45
% 0.42/1.45 cnf(1, plain, [-(subset(4 ^ [], union(5 ^ [], 6 ^ [])))], clausify(prove_th120)).
% 0.42/1.45 cnf(2, plain, [-(intersection(4 ^ [], 6 ^ []) = empty_set)], clausify(prove_th120)).
% 0.42/1.45 cnf(3, plain, [subset(4 ^ [], 5 ^ [])], clausify(prove_th120)).
% 0.42/1.45 cnf(4, plain, [-(_7792 = _7792)], theory(equality)).
% 0.42/1.45 cnf(5, plain, [-(member(_9096, _9227)), member(_9029, _9162), _9029 = _9096, _9162 = _9227], theory(equality)).
% 0.42/1.45 cnf(6, plain, [member(_13065, union(_12948, _13007)), -(member(_13065, _12948)), -(member(_13065, _13007))], clausify(union_defn)).
% 0.42/1.45 cnf(7, plain, [member(_13461, empty_set)], clausify(empty_set_defn)).
% 0.42/1.45 cnf(8, plain, [-(member(_13770, intersection(_13653, _13712))), member(_13770, _13653), member(_13770, _13712)], clausify(intersection_defn)).
% 0.42/1.45 cnf(9, plain, [-(subset(_14166, _14222)), -(member(1 ^ [_14222, _14166], _14166))], clausify(subset_defn)).
% 0.42/1.45 cnf(10, plain, [-(subset(_14166, _14222)), member(1 ^ [_14222, _14166], _14222)], clausify(subset_defn)).
% 0.42/1.45 cnf(11, plain, [subset(_14166, _14222), member(_14336, _14166), -(member(_14336, _14222))], clausify(subset_defn)).
% 0.42/1.45 cnf(12, plain, [empty(_15817), member(_15901, _15817)], clausify(empty_defn)).
% 0.42/1.45 cnf(13, plain, [-(empty(_15817)), -(member(2 ^ [_15817], _15817))], clausify(empty_defn)).
% 0.42/1.45
% 0.42/1.45 cnf('1',plain,[empty(intersection(4 ^ [], 6 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 6 ^ []))],start(12,bind([[_15901, _15817], [1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 6 ^ [])]]))).
% 0.42/1.45 cnf('1.1',plain,[-(empty(intersection(4 ^ [], 6 ^ []))), -(member(2 ^ [intersection(4 ^ [], 6 ^ [])], intersection(4 ^ [], 6 ^ [])))],extension(13,bind([[_15817], [intersection(4 ^ [], 6 ^ [])]]))).
% 0.42/1.45 cnf('1.1.1',plain,[member(2 ^ [intersection(4 ^ [], 6 ^ [])], intersection(4 ^ [], 6 ^ [])), -(member(2 ^ [intersection(4 ^ [], 6 ^ [])], empty_set)), 2 ^ [intersection(4 ^ [], 6 ^ [])] = 2 ^ [intersection(4 ^ [], 6 ^ [])], intersection(4 ^ [], 6 ^ []) = empty_set],extension(5,bind([[_9029, _9096, _9162, _9227], [2 ^ [intersection(4 ^ [], 6 ^ [])], 2 ^ [intersection(4 ^ [], 6 ^ [])], intersection(4 ^ [], 6 ^ []), empty_set]]))).
% 0.42/1.45 cnf('1.1.1.1',plain,[member(2 ^ [intersection(4 ^ [], 6 ^ [])], empty_set)],extension(7,bind([[_13461], [2 ^ [intersection(4 ^ [], 6 ^ [])]]]))).
% 0.42/1.45 cnf('1.1.1.2',plain,[-(2 ^ [intersection(4 ^ [], 6 ^ [])] = 2 ^ [intersection(4 ^ [], 6 ^ [])])],extension(4,bind([[_7792], [2 ^ [intersection(4 ^ [], 6 ^ [])]]]))).
% 0.42/1.45 cnf('1.1.1.3',plain,[-(intersection(4 ^ [], 6 ^ []) = empty_set)],extension(2)).
% 0.42/1.45 cnf('1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 6 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])],extension(8,bind([[_13653, _13770, _13712], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], 6 ^ []]]))).
% 0.42/1.45 cnf('1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], 4 ^ [] = 4 ^ []],extension(5,bind([[_9029, _9096, _9162, _9227], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.42/1.45 cnf('1.2.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(9,bind([[_14166, _14222], [4 ^ [], 5 ^ []]]))).
% 0.42/1.45 cnf('1.2.1.1.1',plain,[subset(4 ^ [], 5 ^ [])],extension(3)).
% 0.42/1.45 cnf('1.2.1.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(4,bind([[_7792], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 0.42/1.45 cnf('1.2.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(4,bind([[_7792], [4 ^ []]]))).
% 0.42/1.45 cnf('1.2.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], union(5 ^ [], 6 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(6,bind([[_13007, _13065, _12948], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.42/1.45 cnf('1.2.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], union(5 ^ [], 6 ^ []))), subset(4 ^ [], union(5 ^ [], 6 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(11,bind([[_14222, _14336, _14166], [union(5 ^ [], 6 ^ []), 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.42/1.45 cnf('1.2.2.1.1',plain,[-(subset(4 ^ [], union(5 ^ [], 6 ^ [])))],extension(1)).
% 0.42/1.45 cnf('1.2.2.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.2')).
% 0.42/1.45 cnf('1.2.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(10,bind([[_14166, _14222], [4 ^ [], 5 ^ []]]))).
% 0.42/1.45 cnf('1.2.2.2.1',plain,[subset(4 ^ [], 5 ^ [])],extension(3)).
% 0.42/1.45 %-----------------------------------------------------
% 0.42/1.46
% 0.47/1.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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