TSTP Solution File: SET888+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET888+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 02:56:50 EDT 2022
% Result : Theorem 219.85s 212.06s
% Output : Proof 219.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET888+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 21:56:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 219.85/212.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 219.85/212.07 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 219.85/212.08
% 219.85/212.08 %-----------------------------------------------------
% 219.85/212.08 fof(d2_tarski, axiom, ! [_47381, _47384, _47387] : (_47387 = unordered_pair(_47381, _47384) <=> ! [_47408] : (in(_47408, _47387) <=> _47408 = _47381 | _47408 = _47384)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 219.85/212.08 fof(commutativity_k2_tarski, axiom, ! [_47630, _47633] : unordered_pair(_47630, _47633) = unordered_pair(_47633, _47630), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 219.85/212.08 fof(t29_zfmisc_1, conjecture, ! [_47787, _47790] : ((! _47787) = _47790 => symmetric_difference(singleton(_47787), singleton(_47790)) = unordered_pair(_47787, _47790)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t29_zfmisc_1)).
% 219.85/212.08 fof(d1_tarski, axiom, ! [_47982, _47985] : (_47985 = singleton(_47982) <=> ! [_48003] : (in(_48003, _47985) <=> _48003 = _47982)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 219.85/212.08 fof(t1_xboole_0, axiom, ! [_48189, _48192, _48195] : (in(_48189, symmetric_difference(_48192, _48195)) <=> ~ (in(_48189, _48192) <=> in(_48189, _48195))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_0)).
% 219.85/212.08
% 219.85/212.08 cnf(1, plain, [_14282 = unordered_pair(_14143, _14213), -(in(_14446, _14282)), _14446 = _14213], clausify(d2_tarski)).
% 219.85/212.08 cnf(2, plain, [-(unordered_pair(_12732, _12777) = unordered_pair(_12777, _12732))], clausify(commutativity_k2_tarski)).
% 219.85/212.08 cnf(3, plain, [-(_14282 = unordered_pair(_14143, _14213)), in(2 ^ [_14282, _14213, _14143], _14282), 2 ^ [_14282, _14213, _14143] = _14143], clausify(d2_tarski)).
% 219.85/212.08 cnf(4, plain, [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])], clausify(t29_zfmisc_1)).
% 219.85/212.08 cnf(5, plain, [_13720 = singleton(_13662), -(in(_13852, _13720)), _13852 = _13662], clausify(d1_tarski)).
% 219.85/212.08 cnf(6, plain, [-(in(_16499, symmetric_difference(_16560, _16620))), in(_16499, _16560), -(in(_16499, _16620))], clausify(t1_xboole_0)).
% 219.85/212.08 cnf(7, plain, [5 ^ [] = 6 ^ []], clausify(t29_zfmisc_1)).
% 219.85/212.08 cnf(8, plain, [_7763 = _7808, -(_7808 = _7763)], theory(equality)).
% 219.85/212.08 cnf(9, plain, [_13720 = singleton(_13662), in(_13852, _13720), -(_13852 = _13662)], clausify(d1_tarski)).
% 219.85/212.08 cnf(10, plain, [-(_13720 = singleton(_13662)), -(in(1 ^ [_13720, _13662], _13720)), -(1 ^ [_13720, _13662] = _13662)], clausify(d1_tarski)).
% 219.85/212.08 cnf(11, plain, [in(_16499, symmetric_difference(_16560, _16620)), -(in(_16499, _16560)), -(in(_16499, _16620))], clausify(t1_xboole_0)).
% 219.85/212.08 cnf(12, plain, [-(_7610 = _7610)], theory(equality)).
% 219.85/212.08 cnf(13, plain, [-(_14282 = unordered_pair(_14143, _14213)), -(in(2 ^ [_14282, _14213, _14143], _14282)), -(2 ^ [_14282, _14213, _14143] = _14143), -(2 ^ [_14282, _14213, _14143] = _14213)], clausify(d2_tarski)).
% 219.85/212.08 cnf(14, plain, [-(in(_8904, _9035)), in(_8837, _8970), _8837 = _8904, _8970 = _9035], theory(equality)).
% 219.85/212.08 cnf(15, plain, [_14282 = unordered_pair(_14143, _14213), in(_14446, _14282), -(_14446 = _14143), -(_14446 = _14213)], clausify(d2_tarski)).
% 219.85/212.08 cnf(16, plain, [-(_14282 = unordered_pair(_14143, _14213)), in(2 ^ [_14282, _14213, _14143], _14282), 2 ^ [_14282, _14213, _14143] = _14213], clausify(d2_tarski)).
% 219.85/212.08 cnf(17, plain, [-(_13720 = singleton(_13662)), in(1 ^ [_13720, _13662], _13720), 1 ^ [_13720, _13662] = _13662], clausify(d1_tarski)).
% 219.85/212.08 cnf(18, plain, [-(in(_16499, symmetric_difference(_16560, _16620))), -(in(_16499, _16560)), in(_16499, _16620)], clausify(t1_xboole_0)).
% 219.85/212.08
% 219.85/212.08 cnf('1',plain,[symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])],start(4)).
% 219.85/212.08 cnf('1.1',plain,[-(symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])), -(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))), -(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ []), -(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 6 ^ [])],extension(13,bind([[_14282, _14143, _14213], [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 5 ^ [], 6 ^ []]]))).
% 219.85/212.08 cnf('1.1.1',plain,[in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))), -(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(5 ^ []))), -(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(6 ^ [])))],extension(11,bind([[_16560, _16499, _16620], [singleton(5 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.1.1',plain,[in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(5 ^ [])), singleton(5 ^ []) = singleton(5 ^ []), -(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [])],extension(9,bind([[_13720, _13852, _13662], [singleton(5 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ [])), singleton(5 ^ []) = singleton(5 ^ [])],extension(8,bind([[_7763, _7808], [singleton(5 ^ []), singleton(5 ^ [])]]))).
% 219.85/212.08 cnf('1.1.1.1.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(12,bind([[_7610], [singleton(5 ^ [])]]))).
% 219.85/212.08 cnf('1.1.1.1.2',plain,[2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [], -(symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])), in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))],extension(3,bind([[_14213, _14143, _14282], [6 ^ [], 5 ^ [], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))]]))).
% 219.85/212.08 cnf('1.1.1.1.2.1',plain,[symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])],extension(4)).
% 219.85/212.08 cnf('1.1.1.1.2.2',plain,[-(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))))],reduction('1.1')).
% 219.85/212.08 cnf('1.1.1.2',plain,[in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(6 ^ [])), singleton(6 ^ []) = singleton(6 ^ []), -(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 6 ^ [])],extension(9,bind([[_13720, _13852, _13662], [singleton(6 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], 6 ^ []]]))).
% 219.85/212.08 cnf('1.1.1.2.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ [])), singleton(6 ^ []) = singleton(6 ^ [])],extension(8,bind([[_7763, _7808], [singleton(6 ^ []), singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.1.2.1.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(12,bind([[_7610], [singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.1.2.2',plain,[2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 6 ^ [], -(symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])), in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))],extension(16,bind([[_14213, _14143, _14282], [6 ^ [], 5 ^ [], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))]]))).
% 219.85/212.08 cnf('1.1.1.2.2.1',plain,[symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])],extension(4)).
% 219.85/212.08 cnf('1.1.1.2.2.2',plain,[-(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))))],reduction('1.1')).
% 219.85/212.08 cnf('1.1.2',plain,[2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [], -(in(5 ^ [], singleton(5 ^ []))), in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], unordered_pair(5 ^ [], 5 ^ [])), unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])],extension(14,bind([[_8904, _8837, _8970, _9035], [5 ^ [], 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], unordered_pair(5 ^ [], 5 ^ []), singleton(5 ^ [])]]))).
% 219.85/212.08 cnf('1.1.2.1',plain,[in(5 ^ [], singleton(5 ^ [])), -(in(5 ^ [], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))), -(in(5 ^ [], singleton(6 ^ [])))],extension(6,bind([[_16560, _16499, _16620], [singleton(5 ^ []), 5 ^ [], singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.2.1.1',plain,[in(5 ^ [], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))), -(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))), 5 ^ [] = 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))],extension(14,bind([[_8837, _8904, _8970, _9035], [5 ^ [], 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))]]))).
% 219.85/212.08 cnf('1.1.2.1.1.1',plain,[in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))), -(symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ []],extension(3,bind([[_14282, _14213, _14143], [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.1.1.1.1',plain,[symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])],extension(4)).
% 219.85/212.08 cnf('1.1.2.1.1.1.2',plain,[-(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [])],reduction('1.1')).
% 219.85/212.08 cnf('1.1.2.1.1.2',plain,[-(5 ^ [] = 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []]), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ []],extension(8,bind([[_7763, _7808], [2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.1.1.2.1',plain,[-(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [])],reduction('1.1')).
% 219.85/212.08 cnf('1.1.2.1.1.3',plain,[-(symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))],extension(12,bind([[_7610], [symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))]]))).
% 219.85/212.08 cnf('1.1.2.1.2',plain,[in(5 ^ [], singleton(6 ^ [])), singleton(6 ^ []) = singleton(6 ^ []), -(5 ^ [] = 6 ^ [])],extension(9,bind([[_13720, _13852, _13662], [singleton(6 ^ []), 5 ^ [], 6 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.1.2.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(12,bind([[_7610], [singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.2.1.2.2',plain,[5 ^ [] = 6 ^ []],extension(7)).
% 219.85/212.08 cnf('1.1.2.2',plain,[-(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], unordered_pair(5 ^ [], 5 ^ []))), unordered_pair(5 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 5 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ []],extension(1,bind([[_14282, _14143, _14446, _14213], [unordered_pair(5 ^ [], 5 ^ []), 5 ^ [], 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.2.1',plain,[-(unordered_pair(5 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 5 ^ []))],extension(2,bind([[_12777, _12732], [5 ^ [], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.2.2',plain,[-(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [])],reduction('1.1')).
% 219.85/212.08 cnf('1.1.2.3',plain,[-(unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])), -(in(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ []))), -(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ [])],extension(10,bind([[_13720, _13662], [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.3.1',plain,[in(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ [])), unordered_pair(5 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 5 ^ []), -(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ []), -(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ [])],extension(15,bind([[_14282, _14143, _14446, _14213], [unordered_pair(5 ^ [], 5 ^ []), 5 ^ [], 1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.3.1.1',plain,[-(unordered_pair(5 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 5 ^ []))],extension(2,bind([[_12777, _12732], [5 ^ [], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.3.1.2',plain,[1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ [], -(unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])), in(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ []))],extension(17,bind([[_13662, _13720], [5 ^ [], unordered_pair(5 ^ [], 5 ^ [])]]))).
% 219.85/212.08 cnf('1.1.2.3.1.2.1',plain,[unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])],reduction('1.1.2')).
% 219.85/212.08 cnf('1.1.2.3.1.2.2',plain,[-(in(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ [])))],reduction('1.1.2.3')).
% 219.85/212.08 cnf('1.1.2.3.1.3',plain,[1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ []],lemmata('1.1.2.3.1')).
% 219.85/212.08 cnf('1.1.2.3.2',plain,[1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ [], unordered_pair(5 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 5 ^ []), -(in(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ [])))],extension(1,bind([[_14143, _14213, _14446, _14282], [5 ^ [], 5 ^ [], 1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ [])]]))).
% 219.85/212.08 cnf('1.1.2.3.2.1',plain,[-(unordered_pair(5 ^ [], 5 ^ []) = unordered_pair(5 ^ [], 5 ^ []))],extension(2,bind([[_12777, _12732], [5 ^ [], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.3.2.2',plain,[in(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []], unordered_pair(5 ^ [], 5 ^ [])), -(unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])), 1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ []],extension(17,bind([[_13720, _13662], [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.2.3.2.2.1',plain,[unordered_pair(5 ^ [], 5 ^ []) = singleton(5 ^ [])],reduction('1.1.2')).
% 219.85/212.08 cnf('1.1.2.3.2.2.2',plain,[-(1 ^ [unordered_pair(5 ^ [], 5 ^ []), 5 ^ []] = 5 ^ [])],reduction('1.1.2.3')).
% 219.85/212.08 cnf('1.1.3',plain,[2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 6 ^ [], -(symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])), in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))],extension(16,bind([[_14213, _14143, _14282], [6 ^ [], 5 ^ [], symmetric_difference(singleton(5 ^ []), singleton(6 ^ []))]]))).
% 219.85/212.08 cnf('1.1.3.1',plain,[symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])) = unordered_pair(5 ^ [], 6 ^ [])],extension(4)).
% 219.85/212.08 cnf('1.1.3.2',plain,[-(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])))), -(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(5 ^ []))), in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(6 ^ []))],extension(18,bind([[_16560, _16499, _16620], [singleton(5 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.3.2.1',plain,[in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(5 ^ [])), singleton(5 ^ []) = singleton(5 ^ []), -(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ [])],extension(9,bind([[_13720, _13852, _13662], [singleton(5 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], 5 ^ []]]))).
% 219.85/212.08 cnf('1.1.3.2.1.1',plain,[-(singleton(5 ^ []) = singleton(5 ^ []))],extension(12,bind([[_7610], [singleton(5 ^ [])]]))).
% 219.85/212.08 cnf('1.1.3.2.1.2',plain,[2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 5 ^ []],lemmata('1.1')).
% 219.85/212.08 cnf('1.1.3.2.2',plain,[-(in(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], singleton(6 ^ []))), singleton(6 ^ []) = singleton(6 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 6 ^ []],extension(5,bind([[_13720, _13852, _13662], [singleton(6 ^ []), 2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []], 6 ^ []]]))).
% 219.85/212.08 cnf('1.1.3.2.2.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(12,bind([[_7610], [singleton(6 ^ [])]]))).
% 219.85/212.08 cnf('1.1.3.2.2.2',plain,[-(2 ^ [symmetric_difference(singleton(5 ^ []), singleton(6 ^ [])), 6 ^ [], 5 ^ []] = 6 ^ [])],reduction('1.1')).
% 219.85/212.08 %-----------------------------------------------------
% 219.85/212.08
% 219.85/212.08 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------