TSTP Solution File: SEU125+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU125+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n009.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 12:00:16 EDT 2022

% Result   : Theorem 0.55s 1.44s
% Output   : Proof 0.60s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU125+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.13/0.36  % Computer : n009.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Sun Jun 19 00:22:37 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.55/1.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.45  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.46  
% 0.55/1.46  %-----------------------------------------------------
% 0.55/1.46  fof(t8_xboole_1, conjecture, ! [_41959, _41962, _41965] : (subset(_41959, _41962) & subset(_41965, _41962) => subset(set_union2(_41959, _41965), _41962)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_xboole_1)).
% 0.55/1.46  fof(d2_xboole_0, axiom, ! [_42223, _42226, _42229] : (_42229 = set_union2(_42223, _42226) <=> ! [_42250] : (in(_42250, _42229) <=> in(_42250, _42223) | in(_42250, _42226))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.55/1.46  fof(d3_tarski, axiom, ! [_42481, _42484] : (subset(_42481, _42484) <=> ! [_42502] : (in(_42502, _42481) => in(_42502, _42484))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.55/1.46  
% 0.55/1.46  cnf(1, plain, [-(subset(9 ^ [], 10 ^ []))], clausify(t8_xboole_1)).
% 0.55/1.46  cnf(2, plain, [-(subset(11 ^ [], 10 ^ []))], clausify(t8_xboole_1)).
% 0.55/1.46  cnf(3, plain, [subset(set_union2(9 ^ [], 11 ^ []), 10 ^ [])], clausify(t8_xboole_1)).
% 0.55/1.46  cnf(4, plain, [-(set_union2(_16485, _16618) = set_union2(_16552, _16683)), _16485 = _16552, _16618 = _16683], theory(equality)).
% 0.55/1.46  cnf(5, plain, [-(_12712 = _12712)], theory(equality)).
% 0.55/1.46  cnf(6, plain, [_18969 = set_union2(_18830, _18900), in(_19133, _18969), -(in(_19133, _18830)), -(in(_19133, _18900))], clausify(d2_xboole_0)).
% 0.55/1.46  cnf(7, plain, [-(subset(_19515, _19571)), -(in(3 ^ [_19571, _19515], _19515))], clausify(d3_tarski)).
% 0.55/1.46  cnf(8, plain, [-(subset(_19515, _19571)), in(3 ^ [_19571, _19515], _19571)], clausify(d3_tarski)).
% 0.55/1.46  cnf(9, plain, [subset(_19515, _19571), in(_19685, _19515), -(in(_19685, _19571))], clausify(d3_tarski)).
% 0.55/1.46  
% 0.55/1.46  cnf('1',plain,[subset(set_union2(9 ^ [], 11 ^ []), 10 ^ [])],start(3)).
% 0.55/1.46  cnf('1.1',plain,[-(subset(set_union2(9 ^ [], 11 ^ []), 10 ^ [])), -(in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], set_union2(9 ^ [], 11 ^ [])))],extension(7,bind([[_19571, _19515], [10 ^ [], set_union2(9 ^ [], 11 ^ [])]]))).
% 0.55/1.46  cnf('1.1.1',plain,[in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], set_union2(9 ^ [], 11 ^ [])), set_union2(9 ^ [], 11 ^ []) = set_union2(9 ^ [], 11 ^ []), -(in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 9 ^ [])), -(in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 11 ^ []))],extension(6,bind([[_18969, _18830, _19133, _18900], [set_union2(9 ^ [], 11 ^ []), 9 ^ [], 3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 11 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.1',plain,[-(set_union2(9 ^ [], 11 ^ []) = set_union2(9 ^ [], 11 ^ [])), 9 ^ [] = 9 ^ [], 11 ^ [] = 11 ^ []],extension(4,bind([[_16485, _16552, _16618, _16683], [9 ^ [], 9 ^ [], 11 ^ [], 11 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.1.1',plain,[-(9 ^ [] = 9 ^ [])],extension(5,bind([[_12712], [9 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(5,bind([[_12712], [11 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.2',plain,[in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 9 ^ []), subset(9 ^ [], 10 ^ []), -(in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 10 ^ []))],extension(9,bind([[_19515, _19685, _19571], [9 ^ [], 3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 10 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.2.1',plain,[-(subset(9 ^ [], 10 ^ []))],extension(1)).
% 0.55/1.46  cnf('1.1.1.2.2',plain,[in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 10 ^ []), -(subset(set_union2(9 ^ [], 11 ^ []), 10 ^ []))],extension(8,bind([[_19515, _19571], [set_union2(9 ^ [], 11 ^ []), 10 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.2.2.1',plain,[subset(set_union2(9 ^ [], 11 ^ []), 10 ^ [])],extension(3)).
% 0.55/1.46  cnf('1.1.1.3',plain,[in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 11 ^ []), subset(11 ^ [], 10 ^ []), -(in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 10 ^ []))],extension(9,bind([[_19515, _19685, _19571], [11 ^ [], 3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 10 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.3.1',plain,[-(subset(11 ^ [], 10 ^ []))],extension(2)).
% 0.55/1.46  cnf('1.1.1.3.2',plain,[in(3 ^ [10 ^ [], set_union2(9 ^ [], 11 ^ [])], 10 ^ []), -(subset(set_union2(9 ^ [], 11 ^ []), 10 ^ []))],extension(8,bind([[_19515, _19571], [set_union2(9 ^ [], 11 ^ []), 10 ^ []]]))).
% 0.55/1.46  cnf('1.1.1.3.2.1',plain,[subset(set_union2(9 ^ [], 11 ^ []), 10 ^ [])],extension(3)).
% 0.55/1.46  %-----------------------------------------------------
% 0.60/1.47  
% 0.60/1.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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