TSTP Solution File: SET916+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET916+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:57:02 EDT 2022
% Result : Theorem 32.46s 32.41s
% Output : Proof 32.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET916+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Mon Jul 11 08:38:55 EDT 2022
% 0.12/0.31 % CPUTime :
% 32.46/32.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.46/32.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.46/32.42
% 32.46/32.42 %-----------------------------------------------------
% 32.46/32.42 fof(d3_xboole_0, axiom, ! [_34986, _34989, _34992] : (_34992 = set_intersection2(_34986, _34989) <=> ! [_35013] : (in(_35013, _34992) <=> in(_35013, _34986) & in(_35013, _34989))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 32.46/32.42 fof(d2_tarski, axiom, ! [_35279, _35282, _35285] : (_35285 = unordered_pair(_35279, _35282) <=> ! [_35306] : (in(_35306, _35285) <=> _35306 = _35279 | _35306 = _35282)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 32.46/32.42 fof(t57_zfmisc_1, conjecture, ! [_35551, _35554, _35557] : ~ (~ in(_35551, _35554) & ~ in(_35557, _35554) & ~ disjoint(unordered_pair(_35551, _35557), _35554)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t57_zfmisc_1)).
% 32.46/32.42 fof(idempotence_k3_xboole_0, axiom, ! [_35861, _35864] : set_intersection2(_35861, _35861) = _35861, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', idempotence_k3_xboole_0)).
% 32.46/32.42 fof(t4_xboole_0, axiom, ! [_35994, _35997] : (~ (~ disjoint(_35994, _35997) & ! [_36019] : ~ in(_36019, set_intersection2(_35994, _35997))) & ~ (? [_36019] : in(_36019, set_intersection2(_35994, _35997)) & disjoint(_35994, _35997))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_xboole_0)).
% 32.46/32.42
% 32.46/32.42 cnf(1, plain, [-(6 ^ [_12672, _12508, _12439, _12369]), -(in(_12672, _12439))], clausify(d3_xboole_0)).
% 32.46/32.42 cnf(2, plain, [-(6 ^ [_12672, _12508, _12439, _12369]), -(in(_12672, _12369))], clausify(d3_xboole_0)).
% 32.46/32.42 cnf(3, plain, [-(7 ^ [_12508, _12439, _12369]), -(in(_12672, _12508)), in(_12672, _12369), in(_12672, _12439)], clausify(d3_xboole_0)).
% 32.46/32.42 cnf(4, plain, [-(7 ^ [_12508, _12439, _12369]), in(_12672, _12508), 6 ^ [_12672, _12508, _12439, _12369]], clausify(d3_xboole_0)).
% 32.46/32.42 cnf(5, plain, [-(1 ^ [_11987, _11823, _11754, _11684]), _11987 = _11754], clausify(d2_tarski)).
% 32.46/32.42 cnf(6, plain, [-(2 ^ [_11823, _11754, _11684]), in(_11987, _11823), -(_11987 = _11684), -(_11987 = _11754)], clausify(d2_tarski)).
% 32.46/32.42 cnf(7, plain, [-(2 ^ [_11823, _11754, _11684]), -(in(_11987, _11823)), 1 ^ [_11987, _11823, _11754, _11684]], clausify(d2_tarski)).
% 32.46/32.42 cnf(8, plain, [in(14 ^ [], 15 ^ [])], clausify(t57_zfmisc_1)).
% 32.46/32.42 cnf(9, plain, [in(16 ^ [], 15 ^ [])], clausify(t57_zfmisc_1)).
% 32.46/32.42 cnf(10, plain, [disjoint(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])], clausify(t57_zfmisc_1)).
% 32.46/32.42 cnf(11, plain, [-(unordered_pair(_10059, _10192) = unordered_pair(_10126, _10257)), _10059 = _10126, _10192 = _10257], theory(equality)).
% 32.46/32.42 cnf(12, plain, [-(_6925 = _6925)], theory(equality)).
% 32.46/32.42 cnf(13, plain, [-(in(_8843, _8974)), in(_8776, _8909), _8776 = _8843, _8909 = _8974], theory(equality)).
% 32.46/32.42 cnf(14, plain, [_11823 = unordered_pair(_11684, _11754), 2 ^ [_11823, _11754, _11684]], clausify(d2_tarski)).
% 32.46/32.42 cnf(15, plain, [-(set_intersection2(_13054, _13054) = _13054)], clausify(idempotence_k3_xboole_0)).
% 32.46/32.42 cnf(16, plain, [-(disjoint(_13945, _14026)), -(in(13 ^ [_14026, _13945], set_intersection2(_13945, _14026)))], clausify(t4_xboole_0)).
% 32.46/32.42 cnf(17, plain, [_12508 = set_intersection2(_12369, _12439), 7 ^ [_12508, _12439, _12369]], clausify(d3_xboole_0)).
% 32.46/32.42
% 32.46/32.42 cnf('1',plain,[disjoint(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])],start(10)).
% 32.46/32.42 cnf('1.1',plain,[-(disjoint(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), -(in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])))],extension(16,bind([[_13945, _14026], [unordered_pair(14 ^ [], 16 ^ []), 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1',plain,[in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), -(7 ^ [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])]), 6 ^ [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])]],extension(4,bind([[_12672, _12508, _12439, _12369], [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1',plain,[7 ^ [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])],extension(17,bind([[_12508, _12369, _12439], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(14 ^ [], 16 ^ []), 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.1.1',plain,[-(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), -(2 ^ [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]), in(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))), -(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))],extension(6,bind([[_11684, _11823, _11987, _11754], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.1',plain,[2 ^ [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])], unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])) = unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))],extension(14,bind([[_11823, _11684, _11754], [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.1.1',plain,[-(unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])) = unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])],extension(11,bind([[_10059, _10126, _10192, _10257], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.1.1.1',plain,[-(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))],extension(12,bind([[_6925], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.1.1.2',plain,[-(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))],extension(12,bind([[_6925], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.2',plain,[-(in(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])))), -(2 ^ [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]), 1 ^ [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]],extension(7,bind([[_11987, _11823, _11754, _11684], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.2.1',plain,[2 ^ [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])], unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])) = unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))],extension(14,bind([[_11823, _11684, _11754], [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.2.1.1',plain,[-(unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])) = unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])))],extension(12,bind([[_6925], [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))]]))).
% 32.46/32.42 cnf('1.1.1.1.1.2.2',plain,[-(1 ^ [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])],extension(5,bind([[_11823, _11684, _11987, _11754], [unordered_pair(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.2.2.1',plain,[-(set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []))],extension(12,bind([[_6925], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.1.1.3',plain,[set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []) = set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ [])],reduction('1.1.1.1')).
% 32.46/32.42 cnf('1.1.1.2',plain,[-(6 ^ [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])]), -(in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 15 ^ []))],extension(1,bind([[_12508, _12369, _12672, _12439], [set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), unordered_pair(14 ^ [], 16 ^ []), 13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1',plain,[in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 15 ^ []), -(in(14 ^ [], 15 ^ [])), 13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])] = 14 ^ [], 15 ^ [] = 15 ^ []],extension(13,bind([[_8776, _8843, _8909, _8974], [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 14 ^ [], 15 ^ [], 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1',plain,[in(14 ^ [], 15 ^ []), -(7 ^ [set_intersection2(15 ^ [], 15 ^ []), 15 ^ [], 15 ^ []]), -(in(14 ^ [], set_intersection2(15 ^ [], 15 ^ []))), in(14 ^ [], 15 ^ [])],extension(3,bind([[_12369, _12508, _12672, _12439], [15 ^ [], set_intersection2(15 ^ [], 15 ^ []), 14 ^ [], 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1.1',plain,[7 ^ [set_intersection2(15 ^ [], 15 ^ []), 15 ^ [], 15 ^ []], set_intersection2(15 ^ [], 15 ^ []) = set_intersection2(15 ^ [], 15 ^ [])],extension(17,bind([[_12508, _12369, _12439], [set_intersection2(15 ^ [], 15 ^ []), 15 ^ [], 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1.1.1',plain,[-(set_intersection2(15 ^ [], 15 ^ []) = set_intersection2(15 ^ [], 15 ^ []))],extension(12,bind([[_6925], [set_intersection2(15 ^ [], 15 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1.2',plain,[in(14 ^ [], set_intersection2(15 ^ [], 15 ^ [])), -(in(14 ^ [], 15 ^ [])), 14 ^ [] = 14 ^ [], set_intersection2(15 ^ [], 15 ^ []) = 15 ^ []],extension(13,bind([[_8776, _8843, _8909, _8974], [14 ^ [], 14 ^ [], set_intersection2(15 ^ [], 15 ^ []), 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1.2.1',plain,[in(14 ^ [], 15 ^ [])],extension(8)).
% 32.46/32.42 cnf('1.1.1.2.1.1.2.2',plain,[-(14 ^ [] = 14 ^ [])],extension(12,bind([[_6925], [14 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1.2.3',plain,[-(set_intersection2(15 ^ [], 15 ^ []) = 15 ^ [])],extension(15,bind([[_13054], [15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.1.3',plain,[-(in(14 ^ [], 15 ^ []))],reduction('1.1.1.2.1')).
% 32.46/32.42 cnf('1.1.1.2.1.2',plain,[-(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])] = 14 ^ []), -(2 ^ [unordered_pair(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []]), in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], unordered_pair(14 ^ [], 16 ^ [])), -(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])] = 16 ^ [])],extension(6,bind([[_11684, _11823, _11987, _11754], [14 ^ [], unordered_pair(14 ^ [], 16 ^ []), 13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 16 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.2.1',plain,[2 ^ [unordered_pair(14 ^ [], 16 ^ []), 16 ^ [], 14 ^ []], unordered_pair(14 ^ [], 16 ^ []) = unordered_pair(14 ^ [], 16 ^ [])],extension(14,bind([[_11823, _11684, _11754], [unordered_pair(14 ^ [], 16 ^ []), 14 ^ [], 16 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.2.1.1',plain,[-(unordered_pair(14 ^ [], 16 ^ []) = unordered_pair(14 ^ [], 16 ^ []))],extension(12,bind([[_6925], [unordered_pair(14 ^ [], 16 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.2.1.2.2',plain,[-(in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], unordered_pair(14 ^ [], 16 ^ []))), -(6 ^ [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])])],extension(2,bind([[_12672, _12508, _12439, _12369], [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])]]))).
% 32.46/32.42 cnf('1.1.1.2.1.2.2.1',plain,[6 ^ [13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], set_intersection2(unordered_pair(14 ^ [], 16 ^ []), 15 ^ []), 15 ^ [], unordered_pair(14 ^ [], 16 ^ [])]],reduction('1.1.1')).
% 32.46/32.42 cnf('1.1.1.2.1.2.3',plain,[13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])] = 16 ^ [], -(in(16 ^ [], 15 ^ [])), in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 15 ^ []), 15 ^ [] = 15 ^ []],extension(13,bind([[_8843, _8776, _8909, _8974], [16 ^ [], 13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 15 ^ [], 15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.2.3.1',plain,[in(16 ^ [], 15 ^ [])],extension(9)).
% 32.46/32.42 cnf('1.1.1.2.1.2.3.2',plain,[-(in(13 ^ [15 ^ [], unordered_pair(14 ^ [], 16 ^ [])], 15 ^ []))],reduction('1.1.1.2')).
% 32.46/32.42 cnf('1.1.1.2.1.2.3.3',plain,[-(15 ^ [] = 15 ^ [])],extension(12,bind([[_6925], [15 ^ []]]))).
% 32.46/32.42 cnf('1.1.1.2.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(12,bind([[_6925], [15 ^ []]]))).
% 32.46/32.42 %-----------------------------------------------------
% 32.50/32.43
% 32.50/32.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------