TSTP Solution File: SET185+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:52:11 EDT 2022
% Result : Theorem 0.37s 1.40s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 10:48:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.37/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(prove_subset_union, conjecture, ! [_18318, _18321] : (subset(_18318, _18321) => union(_18318, _18321) = _18321), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_union)).
% 0.37/1.42 fof(union_defn, axiom, ! [_18494, _18497, _18500] : (member(_18500, union(_18494, _18497)) <=> member(_18500, _18494) | member(_18500, _18497)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.37/1.42 fof(subset_defn, axiom, ! [_18709, _18712] : (subset(_18709, _18712) <=> ! [_18730] : (member(_18730, _18709) => member(_18730, _18712))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.37/1.42 fof(equal_member_defn, axiom, ! [_18920, _18923] : (_18920 = _18923 <=> ! [_18937] : (member(_18937, _18920) <=> member(_18937, _18923))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(subset(3 ^ [], 4 ^ []))], clausify(prove_subset_union)).
% 0.37/1.42 cnf(2, plain, [union(3 ^ [], 4 ^ []) = 4 ^ []], clausify(prove_subset_union)).
% 0.37/1.42 cnf(3, plain, [-(member(_8068, union(_7951, _8010))), member(_8068, _8010)], clausify(union_defn)).
% 0.37/1.42 cnf(4, plain, [member(_8068, union(_7951, _8010)), -(member(_8068, _7951)), -(member(_8068, _8010))], clausify(union_defn)).
% 0.37/1.42 cnf(5, plain, [subset(_8464, _8520), member(_8634, _8464), -(member(_8634, _8520))], clausify(subset_defn)).
% 0.37/1.42 cnf(6, plain, [-(_9795 = _9851), member(2 ^ [_9851, _9795], _9795), member(2 ^ [_9851, _9795], _9851)], clausify(equal_member_defn)).
% 0.37/1.42 cnf(7, plain, [-(_9795 = _9851), -(member(2 ^ [_9851, _9795], _9795)), -(member(2 ^ [_9851, _9795], _9851))], clausify(equal_member_defn)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[union(3 ^ [], 4 ^ []) = 4 ^ []],start(2)).
% 0.37/1.42 cnf('1.1',plain,[-(union(3 ^ [], 4 ^ []) = 4 ^ []), member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], union(3 ^ [], 4 ^ [])), member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ [])],extension(6,bind([[_9795, _9851], [union(3 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.37/1.42 cnf('1.1.1',plain,[-(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], union(3 ^ [], 4 ^ []))), member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ [])],extension(3,bind([[_7951, _8068, _8010], [3 ^ [], 2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.37/1.42 cnf('1.1.1.1',plain,[-(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ [])), -(union(3 ^ [], 4 ^ []) = 4 ^ []), -(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], union(3 ^ [], 4 ^ [])))],extension(7,bind([[_9851, _9795], [4 ^ [], union(3 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1.1.1',plain,[union(3 ^ [], 4 ^ []) = 4 ^ []],extension(2)).
% 0.37/1.42 cnf('1.1.1.1.2',plain,[member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], union(3 ^ [], 4 ^ []))],reduction('1.1')).
% 0.37/1.42 cnf('1.1.2',plain,[-(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ [])), member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], union(3 ^ [], 4 ^ [])), -(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 3 ^ []))],extension(4,bind([[_8010, _8068, _7951], [4 ^ [], 2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 3 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1',plain,[-(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], union(3 ^ [], 4 ^ []))), -(union(3 ^ [], 4 ^ []) = 4 ^ []), -(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ []))],extension(7,bind([[_9795, _9851], [union(3 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.1.1',plain,[union(3 ^ [], 4 ^ []) = 4 ^ []],extension(2)).
% 0.37/1.42 cnf('1.1.2.1.2',plain,[member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ [])],reduction('1.1')).
% 0.37/1.42 cnf('1.1.2.2',plain,[member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 3 ^ []), subset(3 ^ [], 4 ^ []), -(member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ []))],extension(5,bind([[_8464, _8634, _8520], [3 ^ [], 2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.37/1.42 cnf('1.1.2.2.1',plain,[-(subset(3 ^ [], 4 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.1.2.2.2',plain,[member(2 ^ [4 ^ [], union(3 ^ [], 4 ^ [])], 4 ^ [])],reduction('1.1')).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42
% 0.37/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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