TSTP Solution File: SET941+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET941+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 02:57:14 EDT 2022

% Result   : Theorem 0.35s 1.41s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET941+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 19:32:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.35/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42  
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  fof(t94_zfmisc_1, conjecture, ! [_18190, _18193] : (! [_18201] : (in(_18201, _18190) => subset(_18201, _18193)) => subset(union(_18190), _18193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t94_zfmisc_1)).
% 0.35/1.42  fof(d3_tarski, axiom, ! [_18444, _18447] : (subset(_18444, _18447) <=> ! [_18465] : (in(_18465, _18444) => in(_18465, _18447))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.35/1.42  fof(d4_tarski, axiom, ! [_18675, _18678] : (_18678 = union(_18675) <=> ! [_18696] : (in(_18696, _18678) <=> ? [_18714] : (in(_18696, _18714) & in(_18714, _18675)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 0.35/1.42  
% 0.35/1.42  cnf(1, plain, [subset(union(7 ^ []), 8 ^ [])], clausify(t94_zfmisc_1)).
% 0.35/1.42  cnf(2, plain, [in(_12423, 7 ^ []), -(subset(_12423, 8 ^ []))], clausify(t94_zfmisc_1)).
% 0.35/1.42  cnf(3, plain, [_7596 = _7645, -(union(_7596) = union(_7645))], theory(equality)).
% 0.35/1.42  cnf(4, plain, [-(_5086 = _5086)], theory(equality)).
% 0.35/1.42  cnf(5, plain, [-(subset(_8291, _8347)), -(in(1 ^ [_8347, _8291], _8291))], clausify(d3_tarski)).
% 0.35/1.42  cnf(6, plain, [-(subset(_8291, _8347)), in(1 ^ [_8347, _8291], _8347)], clausify(d3_tarski)).
% 0.35/1.42  cnf(7, plain, [subset(_8291, _8347), in(_8461, _8291), -(in(_8461, _8347))], clausify(d3_tarski)).
% 0.35/1.42  cnf(8, plain, [_8821 = union(_8752), in(_8964, _8821), -(in(_8964, 2 ^ [_8964, _8821, _8752]))], clausify(d4_tarski)).
% 0.35/1.42  cnf(9, plain, [_8821 = union(_8752), in(_8964, _8821), -(in(2 ^ [_8964, _8821, _8752], _8752))], clausify(d4_tarski)).
% 0.35/1.42  
% 0.35/1.42  cnf('1',plain,[subset(union(7 ^ []), 8 ^ [])],start(1)).
% 0.35/1.42  cnf('1.1',plain,[-(subset(union(7 ^ []), 8 ^ [])), -(in(1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ [])))],extension(5,bind([[_8347, _8291], [8 ^ [], union(7 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1',plain,[in(1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ [])), union(7 ^ []) = union(7 ^ []), -(in(1 ^ [8 ^ [], union(7 ^ [])], 2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []]))],extension(8,bind([[_8964, _8821, _8752], [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.1',plain,[-(union(7 ^ []) = union(7 ^ [])), 7 ^ [] = 7 ^ []],extension(3,bind([[_7596, _7645], [7 ^ [], 7 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_5086], [7 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.2',plain,[in(1 ^ [8 ^ [], union(7 ^ [])], 2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []]), subset(2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []], 8 ^ []), -(in(1 ^ [8 ^ [], union(7 ^ [])], 8 ^ []))],extension(7,bind([[_8291, _8461, _8347], [2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []], 1 ^ [8 ^ [], union(7 ^ [])], 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.2.1',plain,[-(subset(2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []], 8 ^ [])), in(2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []], 7 ^ [])],extension(2,bind([[_12423], [2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []]]]))).
% 0.35/1.42  cnf('1.1.1.2.1.1',plain,[-(in(2 ^ [1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []), 7 ^ []], 7 ^ [])), union(7 ^ []) = union(7 ^ []), in(1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ []))],extension(9,bind([[_8752, _8964, _8821], [7 ^ [], 1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1.2.1.1.1',plain,[-(union(7 ^ []) = union(7 ^ []))],extension(4,bind([[_5086], [union(7 ^ [])]]))).
% 0.35/1.42  cnf('1.1.1.2.1.1.2',plain,[-(in(1 ^ [8 ^ [], union(7 ^ [])], union(7 ^ [])))],reduction('1.1')).
% 0.35/1.42  cnf('1.1.1.2.2',plain,[in(1 ^ [8 ^ [], union(7 ^ [])], 8 ^ []), -(subset(union(7 ^ []), 8 ^ []))],extension(6,bind([[_8291, _8347], [union(7 ^ []), 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.2.2.1',plain,[subset(union(7 ^ []), 8 ^ [])],extension(1)).
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.43  
% 0.35/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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