TSTP Solution File: SEU119+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.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 12:00:13 EDT 2022

% Result   : Theorem 0.34s 1.40s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU119+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n006.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 : Mon Jun 20 12:18:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.34/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41  
% 0.34/1.41  %-----------------------------------------------------
% 0.34/1.41  fof(t3_xboole_0, conjecture, ! [_26436, _26439] : (~ (~ disjoint(_26436, _26439) & ! [_26461] : ~ (in(_26461, _26436) & in(_26461, _26439))) & ~ (? [_26461] : (in(_26461, _26436) & in(_26461, _26439)) & disjoint(_26436, _26439))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_xboole_0)).
% 0.34/1.41  fof(d1_xboole_0, axiom, ! [_26867] : (_26867 = empty_set <=> ! [_26881] : ~ in(_26881, _26867)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.34/1.41  fof(d7_xboole_0, axiom, ! [_27047, _27050] : (disjoint(_27047, _27050) <=> set_intersection2(_27047, _27050) = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d7_xboole_0)).
% 0.34/1.41  fof(d3_xboole_0, axiom, ! [_27222, _27225, _27228] : (_27228 = set_intersection2(_27222, _27225) <=> ! [_27249] : (in(_27249, _27228) <=> in(_27249, _27222) & in(_27249, _27225))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.34/1.41  
% 0.34/1.41  cnf(1, plain, [-(9 ^ []), -(disjoint(5 ^ [], 6 ^ []))], clausify(t3_xboole_0)).
% 0.34/1.41  cnf(2, plain, [-(9 ^ []), -(in(8 ^ [], 6 ^ []))], clausify(t3_xboole_0)).
% 0.34/1.41  cnf(3, plain, [-(9 ^ []), -(in(8 ^ [], 5 ^ []))], clausify(t3_xboole_0)).
% 0.34/1.41  cnf(4, plain, [-(7 ^ []), in(_16201, 5 ^ []), in(_16201, 6 ^ [])], clausify(t3_xboole_0)).
% 0.34/1.41  cnf(5, plain, [-(7 ^ []), disjoint(5 ^ [], 6 ^ [])], clausify(t3_xboole_0)).
% 0.34/1.41  cnf(6, plain, [9 ^ [], 7 ^ []], clausify(t3_xboole_0)).
% 0.34/1.41  cnf(7, plain, [-(set_intersection2(_8972, _9105) = set_intersection2(_9039, _9170)), _8972 = _9039, _9105 = _9170], theory(equality)).
% 0.34/1.41  cnf(8, plain, [-(_6462 = _6462)], theory(equality)).
% 0.34/1.41  cnf(9, plain, [_10272 = empty_set, in(_10378, _10272)], clausify(d1_xboole_0)).
% 0.34/1.41  cnf(10, plain, [-(_10272 = empty_set), -(in(1 ^ [_10272], _10272))], clausify(d1_xboole_0)).
% 0.34/1.41  cnf(11, plain, [disjoint(_11281, _11329), -(set_intersection2(_11281, _11329) = empty_set)], clausify(d7_xboole_0)).
% 0.34/1.41  cnf(12, plain, [-(disjoint(_11281, _11329)), set_intersection2(_11281, _11329) = empty_set], clausify(d7_xboole_0)).
% 0.34/1.41  cnf(13, plain, [_10735 = set_intersection2(_10596, _10666), in(_10899, _10735), -(in(_10899, _10596))], clausify(d3_xboole_0)).
% 0.34/1.41  cnf(14, plain, [_10735 = set_intersection2(_10596, _10666), in(_10899, _10735), -(in(_10899, _10666))], clausify(d3_xboole_0)).
% 0.34/1.41  cnf(15, plain, [_10735 = set_intersection2(_10596, _10666), -(in(_10899, _10735)), in(_10899, _10596), in(_10899, _10666)], clausify(d3_xboole_0)).
% 0.34/1.41  
% 0.34/1.41  cnf('1',plain,[9 ^ [], 7 ^ []],start(6)).
% 0.34/1.41  cnf('1.1',plain,[-(9 ^ []), -(in(8 ^ [], 6 ^ []))],extension(2)).
% 0.34/1.41  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([[_10666, _10735, _10899, _10596], [6 ^ [], set_intersection2(5 ^ [], 6 ^ []), 8 ^ [], 5 ^ []]]))).
% 0.34/1.41  cnf('1.1.1.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_8972, _9039, _9105, _9170], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.34/1.41  cnf('1.1.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6462], [5 ^ []]]))).
% 0.34/1.41  cnf('1.1.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_6462], [6 ^ []]]))).
% 0.34/1.41  cnf('1.1.1.2',plain,[in(8 ^ [], set_intersection2(5 ^ [], 6 ^ [])), set_intersection2(5 ^ [], 6 ^ []) = empty_set],extension(9,bind([[_10378, _10272], [8 ^ [], set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.34/1.41  cnf('1.1.1.2.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = empty_set), disjoint(5 ^ [], 6 ^ [])],extension(11,bind([[_11281, _11329], [5 ^ [], 6 ^ []]]))).
% 0.34/1.41  cnf('1.1.1.2.1.1',plain,[-(disjoint(5 ^ [], 6 ^ [])), -(9 ^ [])],extension(1)).
% 0.34/1.41  cnf('1.1.1.2.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.34/1.41  cnf('1.1.1.3',plain,[-(in(8 ^ [], 5 ^ [])), -(9 ^ [])],extension(3)).
% 0.34/1.41  cnf('1.1.1.3.1',plain,[9 ^ []],reduction('1')).
% 0.34/1.41  cnf('1.2',plain,[-(7 ^ []), in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], 5 ^ []), in(1 ^ [set_intersection2(5 ^ [], 6 ^ [])], 6 ^ [])],extension(4,bind([[_16201], [1 ^ [set_intersection2(5 ^ [], 6 ^ [])]]]))).
% 0.34/1.41  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([[_10596, _10666, _10899, _10735], [5 ^ [], 6 ^ [], 1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.34/1.41  cnf('1.2.1.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_8972, _9039, _9105, _9170], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.34/1.41  cnf('1.2.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6462], [5 ^ []]]))).
% 0.34/1.41  cnf('1.2.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_6462], [6 ^ []]]))).
% 0.34/1.41  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([[_10272], [set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.34/1.41  cnf('1.2.1.2.1',plain,[set_intersection2(5 ^ [], 6 ^ []) = empty_set, -(disjoint(5 ^ [], 6 ^ []))],extension(12,bind([[_11281, _11329], [5 ^ [], 6 ^ []]]))).
% 0.34/1.41  cnf('1.2.1.2.1.1',plain,[disjoint(5 ^ [], 6 ^ []), -(7 ^ [])],extension(5)).
% 0.34/1.41  cnf('1.2.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.34/1.41  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([[_10596, _10666, _10899, _10735], [5 ^ [], 6 ^ [], 1 ^ [set_intersection2(5 ^ [], 6 ^ [])], set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.34/1.41  cnf('1.2.2.1',plain,[-(set_intersection2(5 ^ [], 6 ^ []) = set_intersection2(5 ^ [], 6 ^ [])), 5 ^ [] = 5 ^ [], 6 ^ [] = 6 ^ []],extension(7,bind([[_8972, _9039, _9105, _9170], [5 ^ [], 5 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.34/1.41  cnf('1.2.2.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_6462], [5 ^ []]]))).
% 0.34/1.41  cnf('1.2.2.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(8,bind([[_6462], [6 ^ []]]))).
% 0.34/1.41  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([[_10272], [set_intersection2(5 ^ [], 6 ^ [])]]))).
% 0.34/1.41  cnf('1.2.2.2.1',plain,[set_intersection2(5 ^ [], 6 ^ []) = empty_set, -(disjoint(5 ^ [], 6 ^ []))],extension(12,bind([[_11281, _11329], [5 ^ [], 6 ^ []]]))).
% 0.34/1.41  cnf('1.2.2.2.1.1',plain,[disjoint(5 ^ [], 6 ^ []), -(7 ^ [])],extension(5)).
% 0.34/1.41  cnf('1.2.2.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.34/1.41  %-----------------------------------------------------
% 0.34/1.42  
% 0.34/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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