TSTP Solution File: SET943+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET943+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 02:57:15 EDT 2022
% Result : Theorem 30.32s 30.34s
% Output : Proof 30.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET943+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n016.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 15:15:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 30.32/30.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.32/30.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.32/30.35
% 30.32/30.35 %-----------------------------------------------------
% 30.32/30.35 fof(d4_tarski, axiom, ! [_54082, _54085] : (_54085 = union(_54082) <=> ! [_54103] : (in(_54103, _54085) <=> ? [_54121] : (in(_54103, _54121) & in(_54121, _54082)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_tarski)).
% 30.32/30.35 fof(d2_xboole_0, axiom, ! [_54384, _54387, _54390] : (_54390 = set_union2(_54384, _54387) <=> ! [_54411] : (in(_54411, _54390) <=> in(_54411, _54384) | in(_54411, _54387))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 30.32/30.35 fof(t96_zfmisc_1, conjecture, ! [_54737, _54740] : union(set_union2(_54737, _54740)) = set_union2(union(_54737), union(_54740)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t96_zfmisc_1)).
% 30.32/30.35
% 30.32/30.35 cnf(1, plain, [-(10 ^ [_13946, _13803, _13734]), -(in(9 ^ [_13946, _13803, _13734], _13734))], clausify(d4_tarski)).
% 30.32/30.35 cnf(2, plain, [-(10 ^ [_13946, _13803, _13734]), -(in(_13946, 9 ^ [_13946, _13803, _13734]))], clausify(d4_tarski)).
% 30.32/30.35 cnf(3, plain, [-(11 ^ [_13803, _13734]), -(in(_13946, _13803)), in(_13946, _14065), in(_14065, _13734)], clausify(d4_tarski)).
% 30.32/30.35 cnf(4, plain, [-(11 ^ [_13803, _13734]), in(_13946, _13803), 10 ^ [_13946, _13803, _13734]], clausify(d4_tarski)).
% 30.32/30.35 cnf(5, plain, [-(6 ^ [_12727, _12658, _12588]), -(in(4 ^ [_12727, _12658, _12588], _12588)), -(in(4 ^ [_12727, _12658, _12588], _12658))], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(6, plain, [-(6 ^ [_12727, _12658, _12588]), in(4 ^ [_12727, _12658, _12588], _12727)], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(7, plain, [-(5 ^ [_12727, _12658, _12588]), in(4 ^ [_12727, _12658, _12588], _12658)], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(8, plain, [-(5 ^ [_12727, _12658, _12588]), in(4 ^ [_12727, _12658, _12588], _12588)], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(9, plain, [-(5 ^ [_12727, _12658, _12588]), -(in(4 ^ [_12727, _12658, _12588], _12727))], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(10, plain, [-(2 ^ [_12891, _12727, _12658, _12588]), in(_12891, _12658)], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(11, plain, [-(2 ^ [_12891, _12727, _12658, _12588]), in(_12891, _12588)], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(12, plain, [-(3 ^ [_12727, _12658, _12588]), in(_12891, _12727), -(in(_12891, _12588)), -(in(_12891, _12658))], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(13, plain, [-(3 ^ [_12727, _12658, _12588]), -(in(_12891, _12727)), 2 ^ [_12891, _12727, _12658, _12588]], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(14, plain, [union(set_union2(18 ^ [], 19 ^ [])) = set_union2(union(18 ^ []), union(19 ^ []))], clausify(t96_zfmisc_1)).
% 30.32/30.35 cnf(15, plain, [_11172 = _11221, -(union(_11172) = union(_11221))], theory(equality)).
% 30.32/30.35 cnf(16, plain, [-(set_union2(_10558, _10691) = set_union2(_10625, _10756)), _10558 = _10625, _10691 = _10756], theory(equality)).
% 30.32/30.35 cnf(17, plain, [-(_8038 = _8038)], theory(equality)).
% 30.32/30.35 cnf(18, plain, [-(_12727 = set_union2(_12588, _12658)), 5 ^ [_12727, _12658, _12588], 6 ^ [_12727, _12658, _12588]], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(19, plain, [_12727 = set_union2(_12588, _12658), 3 ^ [_12727, _12658, _12588]], clausify(d2_xboole_0)).
% 30.32/30.35 cnf(20, plain, [_13803 = union(_13734), 11 ^ [_13803, _13734]], clausify(d4_tarski)).
% 30.32/30.35
% 30.32/30.35 cnf('1',plain,[union(set_union2(18 ^ [], 19 ^ [])) = set_union2(union(18 ^ []), union(19 ^ []))],start(14)).
% 30.32/30.35 cnf('1.1',plain,[-(union(set_union2(18 ^ [], 19 ^ [])) = set_union2(union(18 ^ []), union(19 ^ []))), 5 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 6 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]],extension(18,bind([[_12727, _12658, _12588], [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1',plain,[-(5 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ []))))],extension(9,bind([[_12658, _12588, _12727], [union(19 ^ []), union(18 ^ []), union(set_union2(18 ^ [], 19 ^ []))]]))).
% 30.32/30.35 cnf('1.1.1.1',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ []))), -(11 ^ [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]), 10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]],extension(4,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.1',plain,[11 ^ [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], union(set_union2(18 ^ [], 19 ^ [])) = union(set_union2(18 ^ [], 19 ^ []))],extension(20,bind([[_13803, _13734], [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.1.1',plain,[-(union(set_union2(18 ^ [], 19 ^ [])) = union(set_union2(18 ^ [], 19 ^ []))), set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])],extension(15,bind([[_11172, _11221], [set_union2(18 ^ [], 19 ^ []), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.1.1.1',plain,[-(set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])), 18 ^ [] = 18 ^ [], 19 ^ [] = 19 ^ []],extension(16,bind([[_10558, _10625, _10691, _10756], [18 ^ [], 18 ^ [], 19 ^ [], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.1.1.1.1',plain,[-(18 ^ [] = 18 ^ [])],extension(17,bind([[_8038], [18 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(17,bind([[_8038], [19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2',plain,[-(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]), -(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], set_union2(18 ^ [], 19 ^ [])))],extension(1,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1',plain,[in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], set_union2(18 ^ [], 19 ^ [])), -(3 ^ [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]), -(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], 18 ^ [])), -(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], 19 ^ []))],extension(12,bind([[_12727, _12588, _12891, _12658], [set_union2(18 ^ [], 19 ^ []), 18 ^ [], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.1',plain,[3 ^ [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []], set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])],extension(19,bind([[_12727, _12588, _12658], [set_union2(18 ^ [], 19 ^ []), 18 ^ [], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.1.1',plain,[-(set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])), 18 ^ [] = 18 ^ [], 19 ^ [] = 19 ^ []],extension(16,bind([[_10558, _10625, _10691, _10756], [18 ^ [], 18 ^ [], 19 ^ [], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.1.1.1',plain,[-(18 ^ [] = 18 ^ [])],extension(17,bind([[_8038], [18 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.1.1.2',plain,[-(19 ^ [] = 19 ^ [])],extension(17,bind([[_8038], [19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.2',plain,[in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], 18 ^ []), -(11 ^ [union(18 ^ []), 18 ^ []]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []))), in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])])],extension(3,bind([[_13734, _13803, _13946, _14065], [18 ^ [], union(18 ^ []), 4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.2.1',plain,[11 ^ [union(18 ^ []), 18 ^ []], union(18 ^ []) = union(18 ^ [])],extension(20,bind([[_13803, _13734], [union(18 ^ []), 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.2.1.1',plain,[-(union(18 ^ []) = union(18 ^ []))],extension(17,bind([[_8038], [union(18 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.2.2',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ [])), -(5 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])])],extension(8,bind([[_12727, _12658, _12588], [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.2.2.1',plain,[5 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]],reduction('1.1')).
% 30.32/30.35 cnf('1.1.1.1.2.1.2.3',plain,[-(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])])), -(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])])],extension(2,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.2.3.1',plain,[10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]],reduction('1.1.1.1')).
% 30.32/30.35 cnf('1.1.1.1.2.1.3',plain,[in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], 19 ^ []), -(11 ^ [union(19 ^ []), 19 ^ []]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []))), in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])])],extension(3,bind([[_13734, _13803, _13946, _14065], [19 ^ [], union(19 ^ []), 4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.3.1',plain,[11 ^ [union(19 ^ []), 19 ^ []], union(19 ^ []) = union(19 ^ [])],extension(20,bind([[_13803, _13734], [union(19 ^ []), 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.3.1.1',plain,[-(union(19 ^ []) = union(19 ^ []))],extension(17,bind([[_8038], [union(19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.3.2',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ [])), -(5 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])])],extension(7,bind([[_12727, _12658, _12588], [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.3.2.1',plain,[5 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]],reduction('1.1')).
% 30.32/30.35 cnf('1.1.1.1.2.1.3.3',plain,[-(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])])), -(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])])],extension(2,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.1.1.2.1.3.3.1',plain,[10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]],reduction('1.1.1.1')).
% 30.32/30.35 cnf('1.1.2',plain,[-(6 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []))), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ [])))],extension(5,bind([[_12727, _12588, _12658], [union(set_union2(18 ^ [], 19 ^ [])), union(18 ^ []), union(19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ [])), -(11 ^ [union(18 ^ []), 18 ^ []]), 10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]],extension(4,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.1',plain,[11 ^ [union(18 ^ []), 18 ^ []], union(18 ^ []) = union(18 ^ [])],extension(20,bind([[_13803, _13734], [union(18 ^ []), 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.1.1',plain,[-(union(18 ^ []) = union(18 ^ [])), 18 ^ [] = 18 ^ []],extension(15,bind([[_11172, _11221], [18 ^ [], 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.1.1.1',plain,[-(18 ^ [] = 18 ^ [])],extension(17,bind([[_8038], [18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.2',plain,[-(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]))],extension(2,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]), -(11 ^ [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])))), in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], set_union2(18 ^ [], 19 ^ []))],extension(3,bind([[_13946, _13803, _14065, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.1',plain,[11 ^ [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], union(set_union2(18 ^ [], 19 ^ [])) = union(set_union2(18 ^ [], 19 ^ []))],extension(20,bind([[_13803, _13734], [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.1.1',plain,[-(union(set_union2(18 ^ [], 19 ^ [])) = union(set_union2(18 ^ [], 19 ^ []))), set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])],extension(15,bind([[_11172, _11221], [set_union2(18 ^ [], 19 ^ []), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.1.1.1',plain,[-(set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ []))],extension(17,bind([[_8038], [set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.2',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ []))), -(6 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])])],extension(6,bind([[_12727, _12658, _12588], [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.2.1',plain,[6 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]],reduction('1.1')).
% 30.32/30.35 cnf('1.1.2.1.2.1.3',plain,[-(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], set_union2(18 ^ [], 19 ^ []))), -(3 ^ [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]), 2 ^ [9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]],extension(13,bind([[_12891, _12727, _12658, _12588], [9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.3.1',plain,[3 ^ [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []], set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])],extension(19,bind([[_12727, _12588, _12658], [set_union2(18 ^ [], 19 ^ []), 18 ^ [], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.3.1.1',plain,[-(set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ []))],extension(17,bind([[_8038], [set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.3.2',plain,[-(2 ^ [9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]), in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], 18 ^ [])],extension(11,bind([[_12727, _12658, _12891, _12588], [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.3.2.1',plain,[-(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []], 18 ^ [])), -(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []])],extension(1,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.1.2.1.3.2.1.1',plain,[10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(18 ^ []), 18 ^ []]],reduction('1.1.2.1')).
% 30.32/30.35 cnf('1.1.2.2',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ [])), -(11 ^ [union(19 ^ []), 19 ^ []]), 10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]],extension(4,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.1',plain,[11 ^ [union(19 ^ []), 19 ^ []], union(19 ^ []) = union(19 ^ [])],extension(20,bind([[_13803, _13734], [union(19 ^ []), 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.1.1',plain,[-(union(19 ^ []) = union(19 ^ [])), 19 ^ [] = 19 ^ []],extension(15,bind([[_11172, _11221], [19 ^ [], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.1.1.1',plain,[-(19 ^ [] = 19 ^ [])],extension(17,bind([[_8038], [19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.2',plain,[-(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]))],extension(2,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]), -(11 ^ [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]), -(in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])))), in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], set_union2(18 ^ [], 19 ^ []))],extension(3,bind([[_13946, _13803, _14065, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ [])), 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.1',plain,[11 ^ [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])], union(set_union2(18 ^ [], 19 ^ [])) = union(set_union2(18 ^ [], 19 ^ []))],extension(20,bind([[_13803, _13734], [union(set_union2(18 ^ [], 19 ^ [])), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.1.1',plain,[-(union(set_union2(18 ^ [], 19 ^ [])) = union(set_union2(18 ^ [], 19 ^ []))), set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])],extension(15,bind([[_11172, _11221], [set_union2(18 ^ [], 19 ^ []), set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.1.1.1',plain,[-(set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ []))],extension(17,bind([[_8038], [set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.2',plain,[in(4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(set_union2(18 ^ [], 19 ^ []))), -(6 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])])],extension(6,bind([[_12727, _12658, _12588], [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.2.1',plain,[6 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])]],reduction('1.1')).
% 30.32/30.35 cnf('1.1.2.2.2.1.3',plain,[-(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], set_union2(18 ^ [], 19 ^ []))), -(3 ^ [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]), 2 ^ [9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]],extension(13,bind([[_12891, _12727, _12658, _12588], [9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.3.1',plain,[3 ^ [set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []], set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ [])],extension(19,bind([[_12727, _12588, _12658], [set_union2(18 ^ [], 19 ^ []), 18 ^ [], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.3.1.1',plain,[-(set_union2(18 ^ [], 19 ^ []) = set_union2(18 ^ [], 19 ^ []))],extension(17,bind([[_8038], [set_union2(18 ^ [], 19 ^ [])]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.3.2',plain,[-(2 ^ [9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], set_union2(18 ^ [], 19 ^ []), 19 ^ [], 18 ^ []]), in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], 19 ^ [])],extension(10,bind([[_12727, _12588, _12891, _12658], [set_union2(18 ^ [], 19 ^ []), 18 ^ [], 9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.3.2.1',plain,[-(in(9 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []], 19 ^ [])), -(10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []])],extension(1,bind([[_13946, _13803, _13734], [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]]))).
% 30.32/30.35 cnf('1.1.2.2.2.1.3.2.1.1',plain,[10 ^ [4 ^ [union(set_union2(18 ^ [], 19 ^ [])), union(19 ^ []), union(18 ^ [])], union(19 ^ []), 19 ^ []]],reduction('1.1.2.2')).
% 30.32/30.35 %-----------------------------------------------------
% 30.32/30.36
% 30.32/30.36 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------