TSTP Solution File: SET944+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET944+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n026.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 180.97s 174.68s
% Output   : Proof 181.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET944+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n026.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 04:38:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 180.97/174.68  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 180.97/174.69  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 180.97/174.70  
% 180.97/174.70  %-----------------------------------------------------
% 180.97/174.70  fof(t97_zfmisc_1, conjecture, ! [_38256, _38259] : subset(union(set_intersection2(_38256, _38259)), set_intersection2(union(_38256), union(_38259))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t97_zfmisc_1)).
% 180.97/174.70  fof(d4_tarski, axiom, ! [_38473, _38476] : (_38476 = union(_38473) <=> ! [_38494] : (in(_38494, _38476) <=> ? [_38512] : (in(_38494, _38512) & in(_38512, _38473)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_tarski)).
% 180.97/174.70  fof(d3_tarski, axiom, ! [_38743, _38746] : (subset(_38743, _38746) <=> ! [_38764] : (in(_38764, _38743) => in(_38764, _38746))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 180.97/174.70  fof(d3_xboole_0, axiom, ! [_38949, _38952, _38955] : (_38955 = set_intersection2(_38949, _38952) <=> ! [_38976] : (in(_38976, _38955) <=> in(_38976, _38949) & in(_38976, _38952))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 180.97/174.70  
% 180.97/174.70  cnf(1, plain, [subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))], clausify(t97_zfmisc_1)).
% 180.97/174.70  cnf(2, plain, [_9230 = _9279, -(union(_9230) = union(_9279))], theory(equality)).
% 180.97/174.70  cnf(3, plain, [-(set_intersection2(_8616, _8749) = set_intersection2(_8683, _8814)), _8616 = _8683, _8749 = _8814], theory(equality)).
% 180.97/174.70  cnf(4, plain, [-(_6096 = _6096)], theory(equality)).
% 180.97/174.70  cnf(5, plain, [_11465 = union(_11396), in(_11608, _11465), -(in(_11608, 3 ^ [_11608, _11465, _11396]))], clausify(d4_tarski)).
% 180.97/174.70  cnf(6, plain, [-(subset(_10250, _10306)), in(1 ^ [_10306, _10250], _10306)], clausify(d3_tarski)).
% 180.97/174.70  cnf(7, plain, [_10850 = set_intersection2(_10711, _10781), in(_11014, _10850), -(in(_11014, _10781))], clausify(d3_xboole_0)).
% 180.97/174.70  cnf(8, plain, [-(subset(_10250, _10306)), -(in(1 ^ [_10306, _10250], _10250))], clausify(d3_tarski)).
% 180.97/174.70  cnf(9, plain, [_10850 = set_intersection2(_10711, _10781), -(in(_11014, _10850)), in(_11014, _10711), in(_11014, _10781)], clausify(d3_xboole_0)).
% 180.97/174.70  cnf(10, plain, [_11465 = union(_11396), in(_11608, _11465), -(in(3 ^ [_11608, _11465, _11396], _11396))], clausify(d4_tarski)).
% 180.97/174.70  cnf(11, plain, [_11465 = union(_11396), -(in(_11608, _11465)), in(_11608, _11727), in(_11727, _11396)], clausify(d4_tarski)).
% 180.97/174.70  cnf(12, plain, [_10850 = set_intersection2(_10711, _10781), in(_11014, _10850), -(in(_11014, _10711))], clausify(d3_xboole_0)).
% 180.97/174.70  
% 180.97/174.70  cnf('1',plain,[subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))],start(1)).
% 180.97/174.70  cnf('1.1',plain,[-(subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], set_intersection2(union(8 ^ []), union(9 ^ [])))],extension(6,bind([[_10250, _10306], [union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], set_intersection2(union(8 ^ []), union(9 ^ [])))), set_intersection2(union(8 ^ []), union(9 ^ [])) = set_intersection2(union(8 ^ []), union(9 ^ [])), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(8 ^ [])), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(9 ^ []))],extension(9,bind([[_10850, _10711, _11014, _10781], [set_intersection2(union(8 ^ []), union(9 ^ [])), union(8 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.1',plain,[-(set_intersection2(union(8 ^ []), union(9 ^ [])) = set_intersection2(union(8 ^ []), union(9 ^ []))), union(8 ^ []) = union(8 ^ []), union(9 ^ []) = union(9 ^ [])],extension(3,bind([[_8616, _8683, _8749, _8814], [union(8 ^ []), union(8 ^ []), union(9 ^ []), union(9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.1.1',plain,[-(union(8 ^ []) = union(8 ^ [])), 8 ^ [] = 8 ^ []],extension(2,bind([[_9230, _9279], [8 ^ [], 8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_6096], [8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.1.2',plain,[-(union(9 ^ []) = union(9 ^ [])), 9 ^ [] = 9 ^ []],extension(2,bind([[_9230, _9279], [9 ^ [], 9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.1.2.1',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_6096], [9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(8 ^ []))), union(8 ^ []) = union(8 ^ []), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])]), in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], 8 ^ [])],extension(11,bind([[_11465, _11608, _11727, _11396], [union(8 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], 8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2.1',plain,[-(union(8 ^ []) = union(8 ^ [])), 8 ^ [] = 8 ^ []],extension(2,bind([[_9230, _9279], [8 ^ [], 8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_6096], [8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])])), union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ [])), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))],extension(5,bind([[_11396, _11608, _11465], [set_intersection2(8 ^ [], 9 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.2.2.1',plain,[-(union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ []))), set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ [])],extension(2,bind([[_9230, _9279], [set_intersection2(8 ^ [], 9 ^ []), set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.2.2.1.1',plain,[-(set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ []))],extension(4,bind([[_6096], [set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.2.2.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))), -(subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))))],extension(8,bind([[_10250, _10306], [union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.2.2.2.1',plain,[subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))],extension(1)).
% 180.97/174.70  cnf('1.1.1.2.3',plain,[-(in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], 8 ^ [])), set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ []), in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], set_intersection2(8 ^ [], 9 ^ []))],extension(12,bind([[_10711, _10781, _11014, _10850], [8 ^ [], 9 ^ [], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.2.3.1',plain,[-(set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ [])), 8 ^ [] = 8 ^ [], 9 ^ [] = 9 ^ []],extension(3,bind([[_8616, _8683, _8749, _8814], [8 ^ [], 8 ^ [], 9 ^ [], 9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2.3.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_6096], [8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2.3.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_6096], [9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.2.3.2',plain,[-(in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], set_intersection2(8 ^ [], 9 ^ []))), union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ [])), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))],extension(10,bind([[_11396, _11608, _11465], [set_intersection2(8 ^ [], 9 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.2.3.2.1',plain,[-(union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ []))), set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ [])],extension(2,bind([[_9230, _9279], [set_intersection2(8 ^ [], 9 ^ []), set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.2.3.2.1.1',plain,[-(set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ []))],extension(4,bind([[_6096], [set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.2.3.2.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))), -(subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))))],extension(8,bind([[_10250, _10306], [union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.2.3.2.2.1',plain,[subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))],extension(1)).
% 180.97/174.70  cnf('1.1.1.3',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(9 ^ []))), union(9 ^ []) = union(9 ^ []), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])]), in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], 9 ^ [])],extension(11,bind([[_11465, _11608, _11727, _11396], [union(9 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], 9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.3.1',plain,[-(union(9 ^ []) = union(9 ^ [])), 9 ^ [] = 9 ^ []],extension(2,bind([[_9230, _9279], [9 ^ [], 9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.3.1.1',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_6096], [9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.3.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])])), union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ [])), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))],extension(5,bind([[_11396, _11608, _11465], [set_intersection2(8 ^ [], 9 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.3.2.1',plain,[-(union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ []))), set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ [])],extension(2,bind([[_9230, _9279], [set_intersection2(8 ^ [], 9 ^ []), set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.3.2.1.1',plain,[-(set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ []))],extension(4,bind([[_6096], [set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.3.2.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))), -(subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))))],extension(8,bind([[_10250, _10306], [union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.3.2.2.1',plain,[subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))],extension(1)).
% 180.97/174.70  cnf('1.1.1.3.3',plain,[-(in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ []), in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], set_intersection2(8 ^ [], 9 ^ []))],extension(7,bind([[_10711, _10781, _11014, _10850], [8 ^ [], 9 ^ [], 3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.3.3.1',plain,[-(set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ [])), 8 ^ [] = 8 ^ [], 9 ^ [] = 9 ^ []],extension(3,bind([[_8616, _8683, _8749, _8814], [8 ^ [], 8 ^ [], 9 ^ [], 9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.3.3.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_6096], [8 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.3.3.1.2',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_6096], [9 ^ []]]))).
% 180.97/174.70  cnf('1.1.1.3.3.2',plain,[-(in(3 ^ [1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(8 ^ [], 9 ^ [])], set_intersection2(8 ^ [], 9 ^ []))), union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ [])), in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))],extension(10,bind([[_11396, _11608, _11465], [set_intersection2(8 ^ [], 9 ^ []), 1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.3.3.2.1',plain,[-(union(set_intersection2(8 ^ [], 9 ^ [])) = union(set_intersection2(8 ^ [], 9 ^ []))), set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ [])],extension(2,bind([[_9230, _9279], [set_intersection2(8 ^ [], 9 ^ []), set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.3.3.2.1.1',plain,[-(set_intersection2(8 ^ [], 9 ^ []) = set_intersection2(8 ^ [], 9 ^ []))],extension(4,bind([[_6096], [set_intersection2(8 ^ [], 9 ^ [])]]))).
% 180.97/174.70  cnf('1.1.1.3.3.2.2',plain,[-(in(1 ^ [set_intersection2(union(8 ^ []), union(9 ^ [])), union(set_intersection2(8 ^ [], 9 ^ []))], union(set_intersection2(8 ^ [], 9 ^ [])))), -(subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))))],extension(8,bind([[_10250, _10306], [union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ []))]]))).
% 180.97/174.70  cnf('1.1.1.3.3.2.2.1',plain,[subset(union(set_intersection2(8 ^ [], 9 ^ [])), set_intersection2(union(8 ^ []), union(9 ^ [])))],extension(1)).
% 180.97/174.70  %-----------------------------------------------------
% 180.97/174.70  
% 181.06/174.70  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------