TSTP Solution File: SEU119+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU119+1 : TPTP v8.1.0. Released v3.3.0.
% 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 12:00:12 EDT 2022

% Result   : Theorem 0.43s 1.44s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU119+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 00:20:53 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.43/1.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.45  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.45  
% 0.43/1.45  %-----------------------------------------------------
% 0.43/1.45  fof(t3_xboole_0, conjecture, ! [_26464, _26467] : (~ (~ disjoint(_26464, _26467) & ! [_26489] : ~ (in(_26489, _26464) & in(_26489, _26467))) & ~ (? [_26489] : (in(_26489, _26464) & in(_26489, _26467)) & disjoint(_26464, _26467))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_xboole_0)).
% 0.43/1.45  fof(d1_xboole_0, axiom, ! [_26895] : (_26895 = empty_set <=> ! [_26909] : ~ in(_26909, _26895)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.43/1.45  fof(d7_xboole_0, axiom, ! [_27075, _27078] : (disjoint(_27075, _27078) <=> set_intersection2(_27075, _27078) = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_xboole_0)).
% 0.43/1.45  fof(d3_xboole_0, axiom, ! [_27250, _27253, _27256] : (_27256 = set_intersection2(_27250, _27253) <=> ! [_27277] : (in(_27277, _27256) <=> in(_27277, _27250) & in(_27277, _27253))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.43/1.45  
% 0.43/1.45  cnf(1, plain, [-(9 ^ []), -(disjoint(5 ^ [], 6 ^ []))], clausify(t3_xboole_0)).
% 0.43/1.45  cnf(2, plain, [-(9 ^ []), -(in(8 ^ [], 6 ^ []))], clausify(t3_xboole_0)).
% 0.43/1.45  cnf(3, plain, [-(9 ^ []), -(in(8 ^ [], 5 ^ []))], clausify(t3_xboole_0)).
% 0.43/1.45  cnf(4, plain, [-(7 ^ []), in(_16229, 5 ^ []), in(_16229, 6 ^ [])], clausify(t3_xboole_0)).
% 0.43/1.45  cnf(5, plain, [-(7 ^ []), disjoint(5 ^ [], 6 ^ [])], clausify(t3_xboole_0)).
% 0.43/1.45  cnf(6, plain, [9 ^ [], 7 ^ []], clausify(t3_xboole_0)).
% 0.43/1.45  cnf(7, plain, [-(set_intersection2(_9000, _9133) = set_intersection2(_9067, _9198)), _9000 = _9067, _9133 = _9198], theory(equality)).
% 0.43/1.45  cnf(8, plain, [-(_6490 = _6490)], theory(equality)).
% 0.43/1.45  cnf(9, plain, [_10300 = empty_set, in(_10406, _10300)], clausify(d1_xboole_0)).
% 0.43/1.45  cnf(10, plain, [-(_10300 = empty_set), -(in(1 ^ [_10300], _10300))], clausify(d1_xboole_0)).
% 0.43/1.45  cnf(11, plain, [disjoint(_11309, _11357), -(set_intersection2(_11309, _11357) = empty_set)], clausify(d7_xboole_0)).
% 0.43/1.45  cnf(12, plain, [-(disjoint(_11309, _11357)), set_intersection2(_11309, _11357) = empty_set], clausify(d7_xboole_0)).
% 0.43/1.45  cnf(13, plain, [_10763 = set_intersection2(_10624, _10694), in(_10927, _10763), -(in(_10927, _10624))], clausify(d3_xboole_0)).
% 0.43/1.45  cnf(14, plain, [_10763 = set_intersection2(_10624, _10694), in(_10927, _10763), -(in(_10927, _10694))], clausify(d3_xboole_0)).
% 0.43/1.45  cnf(15, plain, [_10763 = set_intersection2(_10624, _10694), -(in(_10927, _10763)), in(_10927, _10624), in(_10927, _10694)], clausify(d3_xboole_0)).
% 0.43/1.45  
% 0.43/1.45  cnf('1',plain,[9 ^ [], 7 ^ []],start(6)).
% 0.43/1.45  cnf('1.1',plain,[-(9 ^ []), -(in(8 ^ [], 6 ^ []))],extension(2)).
% 0.43/1.45  cnf('1.1.1',plain,[in(8 ^ [], 6 ^ []), set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ []), -(in(8 ^ [], set_intersection2(5 ^ [], 6 ^ []))), in(8 ^ [], 5 ^ [])],extension(15,bind([[_10694, _10763, _10927, _10624], [6 ^ [], set_intersection2(5 ^ [], 6 ^ []), 8 ^ [], 5 ^ []]]))).
% 0.43/1.45  cnf('1.1.1.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_9000, _9067, _9133, _9198], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.43/1.45  cnf('1.1.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6490], [5 ^ []]]))).
% 0.43/1.45  cnf('1.1.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_6490], [6 ^ []]]))).
% 0.43/1.45  cnf('1.1.1.2',plain,[in(8 ^ [], set_intersection2(5 ^ [], 6 ^ [])), set_intersection2(5 ^ [], 6 ^ []) = empty_set],extension(9,bind([[_10406, _10300], [8 ^ [], set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.43/1.45  cnf('1.1.1.2.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = empty_set), disjoint(5 ^ [], 6 ^ [])],extension(11,bind([[_11309, _11357], [5 ^ [], 6 ^ []]]))).
% 0.43/1.45  cnf('1.1.1.2.1.1',plain,[-(disjoint(5 ^ [], 6 ^ [])), -(9 ^ [])],extension(1)).
% 0.43/1.45  cnf('1.1.1.2.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.43/1.45  cnf('1.1.1.3',plain,[-(in(8 ^ [], 5 ^ [])), -(9 ^ [])],extension(3)).
% 0.43/1.45  cnf('1.1.1.3.1',plain,[9 ^ []],reduction('1')).
% 0.43/1.45  cnf('1.2',plain,[-(7 ^ []), in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], 5 ^ []), in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], 6 ^ [])],extension(4,bind([[_16229], [1 ^ [set_intersection2(5 ^ [], 6 ^ [])]]]))).
% 0.43/1.45  cnf('1.2.1',plain,[-(in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], 5 ^ [])), set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ []), in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ []))],extension(13,bind([[_10624, _10694, _10927, _10763], [5 ^ [], 6 ^ [], 1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.43/1.45  cnf('1.2.1.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_9000, _9067, _9133, _9198], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.43/1.45  cnf('1.2.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6490], [5 ^ []]]))).
% 0.43/1.45  cnf('1.2.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_6490], [6 ^ []]]))).
% 0.43/1.45  cnf('1.2.1.2',plain,[-(in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ []))), -(set_intersection2(5 ^ [], 6 ^ []) = empty_set)],extension(10,bind([[_10300], [set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.43/1.45  cnf('1.2.1.2.1',plain,[set_intersection2(5 ^ [], 6 ^ []) = empty_set, -(disjoint(5 ^ [], 6 ^ []))],extension(12,bind([[_11309, _11357], [5 ^ [], 6 ^ []]]))).
% 0.43/1.45  cnf('1.2.1.2.1.1',plain,[disjoint(5 ^ [], 6 ^ []), -(7 ^ [])],extension(5)).
% 0.43/1.45  cnf('1.2.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.43/1.45  cnf('1.2.2',plain,[-(in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], 6 ^ [])), set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ []), in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ []))],extension(14,bind([[_10624, _10694, _10927, _10763], [5 ^ [], 6 ^ [], 1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.43/1.45  cnf('1.2.2.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_9000, _9067, _9133, _9198], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.43/1.45  cnf('1.2.2.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6490], [5 ^ []]]))).
% 0.43/1.45  cnf('1.2.2.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_6490], [6 ^ []]]))).
% 0.43/1.45  cnf('1.2.2.2',plain,[-(in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ []))), -(set_intersection2(5 ^ [], 6 ^ []) = empty_set)],extension(10,bind([[_10300], [set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.43/1.45  cnf('1.2.2.2.1',plain,[set_intersection2(5 ^ [], 6 ^ []) = empty_set, -(disjoint(5 ^ [], 6 ^ []))],extension(12,bind([[_11309, _11357], [5 ^ [], 6 ^ []]]))).
% 0.43/1.45  cnf('1.2.2.2.1.1',plain,[disjoint(5 ^ [], 6 ^ []), -(7 ^ [])],extension(5)).
% 0.43/1.45  cnf('1.2.2.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.43/1.45  %-----------------------------------------------------
% 0.43/1.46  
% 0.43/1.46  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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