TSTP Solution File: SET931+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET931+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 02:57:10 EDT 2022
% Result : Theorem 0.33s 1.41s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET931+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n016.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 : Sun Jul 10 22:07:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42 fof(t75_zfmisc_1, conjecture, ! [_22293, _22296, _22299] : (set_difference(_22293, unordered_pair(_22296, _22299)) = empty_set <=> ~ ((! _22293) = empty_set & (! _22293) = singleton(_22296) & (! _22293) = singleton(_22299) & (! _22293) = unordered_pair(_22296, _22299))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t75_zfmisc_1)).
% 0.33/1.42 fof(t37_xboole_1, axiom, ! [_22697, _22700] : (set_difference(_22697, _22700) = empty_set <=> subset(_22697, _22700)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t37_xboole_1)).
% 0.33/1.42 fof(l46_zfmisc_1, axiom, ! [_22867, _22870, _22873] : (subset(_22867, unordered_pair(_22870, _22873)) <=> ~ ((! _22867) = empty_set & (! _22867) = singleton(_22870) & (! _22867) = singleton(_22873) & (! _22867) = unordered_pair(_22870, _22873))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l46_zfmisc_1)).
% 0.33/1.42
% 0.33/1.42 cnf(1, plain, [-(7 ^ []), -(3 ^ [] = empty_set), -(3 ^ [] = singleton(4 ^ [])), -(3 ^ [] = singleton(5 ^ [])), -(3 ^ [] = unordered_pair(4 ^ [], 5 ^ []))], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(2, plain, [-(7 ^ []), set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(3, plain, [-(6 ^ []), 3 ^ [] = unordered_pair(4 ^ [], 5 ^ [])], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(4, plain, [-(6 ^ []), 3 ^ [] = singleton(5 ^ [])], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(5, plain, [-(6 ^ []), 3 ^ [] = singleton(4 ^ [])], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(6, plain, [-(6 ^ []), 3 ^ [] = empty_set], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(7, plain, [-(6 ^ []), -(set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set)], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(8, plain, [6 ^ [], 7 ^ []], clausify(t75_zfmisc_1)).
% 0.33/1.42 cnf(9, plain, [set_difference(_11055, _11103) = empty_set, -(subset(_11055, _11103))], clausify(t37_xboole_1)).
% 0.33/1.42 cnf(10, plain, [-(set_difference(_11055, _11103) = empty_set), subset(_11055, _11103)], clausify(t37_xboole_1)).
% 0.33/1.42 cnf(11, plain, [-(subset(_9620, unordered_pair(_9708, _9795))), _9620 = empty_set], clausify(l46_zfmisc_1)).
% 0.33/1.42 cnf(12, plain, [-(subset(_9620, unordered_pair(_9708, _9795))), _9620 = singleton(_9708)], clausify(l46_zfmisc_1)).
% 0.33/1.42 cnf(13, plain, [-(subset(_9620, unordered_pair(_9708, _9795))), _9620 = singleton(_9795)], clausify(l46_zfmisc_1)).
% 0.33/1.42 cnf(14, plain, [-(subset(_9620, unordered_pair(_9708, _9795))), _9620 = unordered_pair(_9708, _9795)], clausify(l46_zfmisc_1)).
% 0.33/1.42 cnf(15, plain, [subset(_9620, unordered_pair(_9708, _9795)), -(_9620 = empty_set), -(_9620 = singleton(_9708)), -(_9620 = singleton(_9795)), -(_9620 = unordered_pair(_9708, _9795))], clausify(l46_zfmisc_1)).
% 0.33/1.42
% 0.33/1.42 cnf('1',plain,[6 ^ [], 7 ^ []],start(8)).
% 0.33/1.42 cnf('1.1',plain,[-(6 ^ []), 3 ^ [] = unordered_pair(4 ^ [], 5 ^ [])],extension(3)).
% 0.33/1.42 cnf('1.1.1',plain,[-(3 ^ [] = unordered_pair(4 ^ [], 5 ^ [])), subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(3 ^ [] = empty_set), -(3 ^ [] = singleton(4 ^ [])), -(3 ^ [] = singleton(5 ^ []))],extension(15,bind([[_9708, _9620, _9795], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1',plain,[-(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ []))), set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set],extension(9,bind([[_11055, _11103], [3 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.33/1.42 cnf('1.1.1.1.1',plain,[-(set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set), -(6 ^ [])],extension(7)).
% 0.33/1.42 cnf('1.1.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.1.1.2',plain,[3 ^ [] = empty_set, -(6 ^ [])],extension(6)).
% 0.33/1.42 cnf('1.1.1.2.1',plain,[6 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.1.1.3',plain,[3 ^ [] = singleton(4 ^ []), -(6 ^ [])],extension(5)).
% 0.33/1.42 cnf('1.1.1.3.1',plain,[6 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.1.1.4',plain,[3 ^ [] = singleton(5 ^ []), -(6 ^ [])],extension(4)).
% 0.33/1.42 cnf('1.1.1.4.1',plain,[6 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.2',plain,[-(7 ^ []), -(3 ^ [] = empty_set), -(3 ^ [] = singleton(4 ^ [])), -(3 ^ [] = singleton(5 ^ [])), -(3 ^ [] = unordered_pair(4 ^ [], 5 ^ []))],extension(1)).
% 0.33/1.42 cnf('1.2.1',plain,[3 ^ [] = empty_set, -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(11,bind([[_9620, _9708, _9795], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.33/1.42 cnf('1.2.1.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set)],extension(10,bind([[_11055, _11103], [3 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.33/1.42 cnf('1.2.1.1.1',plain,[set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set, -(7 ^ [])],extension(2)).
% 0.33/1.42 cnf('1.2.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.2.2',plain,[3 ^ [] = singleton(4 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(12,bind([[_9620, _9708, _9795], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.33/1.42 cnf('1.2.2.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set)],extension(10,bind([[_11055, _11103], [3 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.33/1.42 cnf('1.2.2.1.1',plain,[set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set, -(7 ^ [])],extension(2)).
% 0.33/1.42 cnf('1.2.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.2.3',plain,[3 ^ [] = singleton(5 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(13,bind([[_9620, _9708, _9795], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.33/1.42 cnf('1.2.3.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set)],extension(10,bind([[_11055, _11103], [3 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.33/1.42 cnf('1.2.3.1.1',plain,[set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set, -(7 ^ [])],extension(2)).
% 0.33/1.42 cnf('1.2.3.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.33/1.42 cnf('1.2.4',plain,[3 ^ [] = unordered_pair(4 ^ [], 5 ^ []), -(subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])))],extension(14,bind([[_9620, _9708, _9795], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.33/1.42 cnf('1.2.4.1',plain,[subset(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])), -(set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set)],extension(10,bind([[_11055, _11103], [3 ^ [], unordered_pair(4 ^ [], 5 ^ [])]]))).
% 0.33/1.42 cnf('1.2.4.1.1',plain,[set_difference(3 ^ [], unordered_pair(4 ^ [], 5 ^ [])) = empty_set, -(7 ^ [])],extension(2)).
% 0.33/1.42 cnf('1.2.4.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.43
% 0.33/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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