TSTP Solution File: SEU419+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU419+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 12:02:46 EDT 2022
% Result : Theorem 0.99s 1.40s
% Output : Proof 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU419+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.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 Jun 19 20:47:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.99/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/1.41
% 0.99/1.41 %-----------------------------------------------------
% 0.99/1.41 fof(t12_relset_2, conjecture, ! [_59173, _59176] : (v1_relat_1(_59176) => ! [_59191] : (v1_relat_1(_59191) => k9_relat_1(k4_xboole_0(_59176, _59191), k1_tarski(_59173)) = k4_xboole_0(k9_relat_1(_59176, k1_tarski(_59173)), k9_relat_1(_59191, k1_tarski(_59173))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t12_relset_2)).
% 0.99/1.41 fof(d4_xboole_0, axiom, ! [_59534, _59537, _59540] : (_59540 = k4_xboole_0(_59534, _59537) <=> ! [_59561] : (r2_hidden(_59561, _59540) <=> r2_hidden(_59561, _59534) & ~ r2_hidden(_59561, _59537))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.99/1.41 fof(fc3_relat_1, axiom, ! [_59863, _59866] : (v1_relat_1(_59863) & v1_relat_1(_59866) => v1_relat_1(k4_xboole_0(_59863, _59866))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc3_relat_1)).
% 0.99/1.41 fof(t9_relset_2, axiom, ! [_60057, _60060, _60063] : (v1_relat_1(_60063) => (r2_hidden(_60057, k9_relat_1(_60063, k1_tarski(_60060))) <=> r2_hidden(k4_tarski(_60060, _60057), _60063))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t9_relset_2)).
% 0.99/1.41
% 0.99/1.41 cnf(1, plain, [-(v1_relat_1(10 ^ []))], clausify(t12_relset_2)).
% 0.99/1.41 cnf(2, plain, [-(v1_relat_1(11 ^ []))], clausify(t12_relset_2)).
% 0.99/1.41 cnf(3, plain, [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))], clausify(t12_relset_2)).
% 0.99/1.41 cnf(4, plain, [-(k4_xboole_0(_19917, _20050) = k4_xboole_0(_19984, _20115)), _19917 = _19984, _20050 = _20115], theory(equality)).
% 0.99/1.41 cnf(5, plain, [-(_14164 = _14164)], theory(equality)).
% 0.99/1.41 cnf(6, plain, [_23116 = k4_xboole_0(_22973, _23045), r2_hidden(_23282, _23116), -(r2_hidden(_23282, _22973))], clausify(d4_xboole_0)).
% 0.99/1.41 cnf(7, plain, [_23116 = k4_xboole_0(_22973, _23045), r2_hidden(_23282, _23116), r2_hidden(_23282, _23045)], clausify(d4_xboole_0)).
% 0.99/1.41 cnf(8, plain, [_23116 = k4_xboole_0(_22973, _23045), -(r2_hidden(_23282, _23116)), r2_hidden(_23282, _22973), -(r2_hidden(_23282, _23045))], clausify(d4_xboole_0)).
% 0.99/1.41 cnf(9, plain, [-(_23116 = k4_xboole_0(_22973, _23045)), -(r2_hidden(2 ^ [_23116, _23045, _22973], _23116)), -(r2_hidden(2 ^ [_23116, _23045, _22973], _22973))], clausify(d4_xboole_0)).
% 0.99/1.41 cnf(10, plain, [-(_23116 = k4_xboole_0(_22973, _23045)), -(r2_hidden(2 ^ [_23116, _23045, _22973], _23116)), r2_hidden(2 ^ [_23116, _23045, _22973], _23045)], clausify(d4_xboole_0)).
% 0.99/1.41 cnf(11, plain, [-(_23116 = k4_xboole_0(_22973, _23045)), r2_hidden(2 ^ [_23116, _23045, _22973], _23116), r2_hidden(2 ^ [_23116, _23045, _22973], _22973), -(r2_hidden(2 ^ [_23116, _23045, _22973], _23045))], clausify(d4_xboole_0)).
% 0.99/1.41 cnf(12, plain, [-(v1_relat_1(k4_xboole_0(_25938, _25989))), v1_relat_1(_25938), v1_relat_1(_25989)], clausify(fc3_relat_1)).
% 0.99/1.41 cnf(13, plain, [v1_relat_1(_31785), r2_hidden(_31660, k9_relat_1(_31785, k1_tarski(_31723))), -(r2_hidden(k4_tarski(_31723, _31660), _31785))], clausify(t9_relset_2)).
% 0.99/1.41 cnf(14, plain, [v1_relat_1(_31785), -(r2_hidden(_31660, k9_relat_1(_31785, k1_tarski(_31723)))), r2_hidden(k4_tarski(_31723, _31660), _31785)], clausify(t9_relset_2)).
% 0.99/1.41
% 0.99/1.41 cnf('1',plain,[k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))],start(3)).
% 0.99/1.41 cnf('1.1',plain,[-(k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))), r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))), r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(10 ^ [], k1_tarski(9 ^ []))), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(11 ^ [], k1_tarski(9 ^ []))))],extension(11,bind([[_23116, _22973, _23045], [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ []))]]))).
% 0.99/1.41 cnf('1.1.1',plain,[-(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])))), v1_relat_1(k4_xboole_0(10 ^ [], 11 ^ [])), r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), k4_xboole_0(10 ^ [], 11 ^ []))],extension(14,bind([[_31723, _31660, _31785], [9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k4_xboole_0(10 ^ [], 11 ^ [])]]))).
% 0.99/1.41 cnf('1.1.1.1',plain,[-(v1_relat_1(k4_xboole_0(10 ^ [], 11 ^ []))), v1_relat_1(10 ^ []), v1_relat_1(11 ^ [])],extension(12,bind([[_25938, _25989], [10 ^ [], 11 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.1.1',plain,[-(v1_relat_1(10 ^ []))],extension(1)).
% 0.99/1.41 cnf('1.1.1.1.2',plain,[-(v1_relat_1(11 ^ []))],extension(2)).
% 0.99/1.41 cnf('1.1.1.2',plain,[-(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), k4_xboole_0(10 ^ [], 11 ^ []))), k4_xboole_0(10 ^ [], 11 ^ []) = k4_xboole_0(10 ^ [], 11 ^ []), r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 10 ^ []), -(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 11 ^ []))],extension(8,bind([[_23116, _22973, _23282, _23045], [k4_xboole_0(10 ^ [], 11 ^ []), 10 ^ [], k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 11 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.2.1',plain,[-(k4_xboole_0(10 ^ [], 11 ^ []) = k4_xboole_0(10 ^ [], 11 ^ [])), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ []],extension(4,bind([[_19917, _19984, _20050, _20115], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.2.1.1',plain,[-(10 ^ [] = 10 ^ [])],extension(5,bind([[_14164], [10 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.2.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(5,bind([[_14164], [11 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.2.2',plain,[-(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 10 ^ [])), v1_relat_1(10 ^ []), r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(10 ^ [], k1_tarski(9 ^ [])))],extension(13,bind([[_31660, _31785, _31723], [2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], 10 ^ [], 9 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.2.2.1',plain,[-(v1_relat_1(10 ^ []))],extension(1)).
% 0.99/1.41 cnf('1.1.1.2.2.2',plain,[-(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(10 ^ [], k1_tarski(9 ^ [])))), -(k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))))],extension(9,bind([[_23045, _22973, _23116], [k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))]]))).
% 0.99/1.41 cnf('1.1.1.2.2.2.1',plain,[k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))],extension(3)).
% 0.99/1.41 cnf('1.1.1.2.2.2.2',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])))],reduction('1.1')).
% 0.99/1.41 cnf('1.1.1.2.3',plain,[r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 11 ^ []), v1_relat_1(11 ^ []), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(11 ^ [], k1_tarski(9 ^ []))))],extension(14,bind([[_31660, _31785, _31723], [2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], 11 ^ [], 9 ^ []]]))).
% 0.99/1.41 cnf('1.1.1.2.3.1',plain,[-(v1_relat_1(11 ^ []))],extension(2)).
% 0.99/1.41 cnf('1.1.1.2.3.2',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(11 ^ [], k1_tarski(9 ^ []))), -(k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))))],extension(10,bind([[_23045, _22973, _23116], [k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))]]))).
% 0.99/1.41 cnf('1.1.1.2.3.2.1',plain,[k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))],extension(3)).
% 0.99/1.41 cnf('1.1.1.2.3.2.2',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])))],reduction('1.1')).
% 0.99/1.41 cnf('1.1.2',plain,[-(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(10 ^ [], k1_tarski(9 ^ [])))), -(k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))))],extension(9,bind([[_23045, _22973, _23116], [k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))]]))).
% 0.99/1.41 cnf('1.1.2.1',plain,[k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))],extension(3)).
% 0.99/1.41 cnf('1.1.2.2',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))), v1_relat_1(k4_xboole_0(10 ^ [], 11 ^ [])), -(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), k4_xboole_0(10 ^ [], 11 ^ [])))],extension(13,bind([[_31723, _31660, _31785], [9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k4_xboole_0(10 ^ [], 11 ^ [])]]))).
% 0.99/1.41 cnf('1.1.2.2.1',plain,[-(v1_relat_1(k4_xboole_0(10 ^ [], 11 ^ []))), v1_relat_1(10 ^ []), v1_relat_1(11 ^ [])],extension(12,bind([[_25938, _25989], [10 ^ [], 11 ^ []]]))).
% 0.99/1.41 cnf('1.1.2.2.1.1',plain,[-(v1_relat_1(10 ^ []))],extension(1)).
% 0.99/1.41 cnf('1.1.2.2.1.2',plain,[-(v1_relat_1(11 ^ []))],extension(2)).
% 0.99/1.41 cnf('1.1.2.2.2',plain,[r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), k4_xboole_0(10 ^ [], 11 ^ [])), k4_xboole_0(10 ^ [], 11 ^ []) = k4_xboole_0(10 ^ [], 11 ^ []), -(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 10 ^ []))],extension(6,bind([[_23116, _23045, _23282, _22973], [k4_xboole_0(10 ^ [], 11 ^ []), 11 ^ [], k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 10 ^ []]]))).
% 0.99/1.41 cnf('1.1.2.2.2.1',plain,[-(k4_xboole_0(10 ^ [], 11 ^ []) = k4_xboole_0(10 ^ [], 11 ^ []))],extension(5,bind([[_14164], [k4_xboole_0(10 ^ [], 11 ^ [])]]))).
% 0.99/1.41 cnf('1.1.2.2.2.2',plain,[r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 10 ^ []), v1_relat_1(10 ^ []), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(10 ^ [], k1_tarski(9 ^ []))))],extension(14,bind([[_31660, _31785, _31723], [2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], 10 ^ [], 9 ^ []]]))).
% 0.99/1.41 cnf('1.1.2.2.2.2.1',plain,[-(v1_relat_1(10 ^ []))],extension(1)).
% 0.99/1.41 cnf('1.1.2.2.2.2.2',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(10 ^ [], k1_tarski(9 ^ [])))],reduction('1.1')).
% 0.99/1.41 cnf('1.1.3',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(11 ^ [], k1_tarski(9 ^ []))), -(k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))), -(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))))],extension(10,bind([[_23045, _22973, _23116], [k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))]]))).
% 0.99/1.41 cnf('1.1.3.1',plain,[k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])) = k4_xboole_0(k9_relat_1(10 ^ [], k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))],extension(3)).
% 0.99/1.41 cnf('1.1.3.2',plain,[r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ []))), v1_relat_1(k4_xboole_0(10 ^ [], 11 ^ [])), -(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), k4_xboole_0(10 ^ [], 11 ^ [])))],extension(13,bind([[_31723, _31660, _31785], [9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k4_xboole_0(10 ^ [], 11 ^ [])]]))).
% 0.99/1.41 cnf('1.1.3.2.1',plain,[-(v1_relat_1(k4_xboole_0(10 ^ [], 11 ^ []))), v1_relat_1(10 ^ []), v1_relat_1(11 ^ [])],extension(12,bind([[_25938, _25989], [10 ^ [], 11 ^ []]]))).
% 0.99/1.41 cnf('1.1.3.2.1.1',plain,[-(v1_relat_1(10 ^ []))],extension(1)).
% 0.99/1.41 cnf('1.1.3.2.1.2',plain,[-(v1_relat_1(11 ^ []))],extension(2)).
% 0.99/1.41 cnf('1.1.3.2.2',plain,[r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), k4_xboole_0(10 ^ [], 11 ^ [])), k4_xboole_0(10 ^ [], 11 ^ []) = k4_xboole_0(10 ^ [], 11 ^ []), r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 11 ^ [])],extension(7,bind([[_23116, _22973, _23282, _23045], [k4_xboole_0(10 ^ [], 11 ^ []), 10 ^ [], k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 11 ^ []]]))).
% 0.99/1.41 cnf('1.1.3.2.2.1',plain,[-(k4_xboole_0(10 ^ [], 11 ^ []) = k4_xboole_0(10 ^ [], 11 ^ []))],extension(5,bind([[_14164], [k4_xboole_0(10 ^ [], 11 ^ [])]]))).
% 0.99/1.41 cnf('1.1.3.2.2.2',plain,[-(r2_hidden(k4_tarski(9 ^ [], 2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))]), 11 ^ [])), v1_relat_1(11 ^ []), r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(11 ^ [], k1_tarski(9 ^ [])))],extension(13,bind([[_31660, _31785, _31723], [2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], 11 ^ [], 9 ^ []]]))).
% 0.99/1.41 cnf('1.1.3.2.2.2.1',plain,[-(v1_relat_1(11 ^ []))],extension(2)).
% 0.99/1.41 cnf('1.1.3.2.2.2.2',plain,[-(r2_hidden(2 ^ [k9_relat_1(k4_xboole_0(10 ^ [], 11 ^ []), k1_tarski(9 ^ [])), k9_relat_1(11 ^ [], k1_tarski(9 ^ [])), k9_relat_1(10 ^ [], k1_tarski(9 ^ []))], k9_relat_1(11 ^ [], k1_tarski(9 ^ []))))],reduction('1.1')).
% 0.99/1.41 %-----------------------------------------------------
% 0.99/1.41
% 0.99/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------