TSTP Solution File: SEU136+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SEU136+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 12:00:21 EDT 2022
% Result : Theorem 0.93s 1.40s
% Output : Proof 0.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU136+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n003.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 : Mon Jun 20 02:06:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.93/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/1.41
% 0.93/1.41 %-----------------------------------------------------
% 0.93/1.41 fof(t40_xboole_1, conjecture, ! [_41304, _41307] : set_difference(set_union2(_41304, _41307), _41307) = set_difference(_41304, _41307), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t40_xboole_1)).
% 0.93/1.41 fof(d2_xboole_0, axiom, ! [_41523, _41526, _41529] : (_41529 = set_union2(_41523, _41526) <=> ! [_41550] : (in(_41550, _41529) <=> in(_41550, _41523) | in(_41550, _41526))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.93/1.41 fof(d4_xboole_0, axiom, ! [_41797, _41800, _41803] : (_41803 = set_difference(_41797, _41800) <=> ! [_41824] : (in(_41824, _41803) <=> in(_41824, _41797) & ~ in(_41824, _41800))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.93/1.41
% 0.93/1.41 cnf(1, plain, [set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ []) = set_difference(6 ^ [], 7 ^ [])], clausify(t40_xboole_1)).
% 0.93/1.41 cnf(2, plain, [-(set_difference(_11463, _11596) = set_difference(_11530, _11661)), _11463 = _11530, _11596 = _11661], theory(equality)).
% 0.93/1.41 cnf(3, plain, [-(set_union2(_12077, _12210) = set_union2(_12144, _12275)), _12077 = _12144, _12210 = _12275], theory(equality)).
% 0.93/1.41 cnf(4, plain, [-(_8943 = _8943)], theory(equality)).
% 0.93/1.41 cnf(5, plain, [_9096 = _9141, -(_9141 = _9096)], theory(equality)).
% 0.93/1.41 cnf(6, plain, [_13927 = set_union2(_13788, _13858), -(in(_14091, _13927)), in(_14091, _13788)], clausify(d2_xboole_0)).
% 0.93/1.41 cnf(7, plain, [_13927 = set_union2(_13788, _13858), in(_14091, _13927), -(in(_14091, _13788)), -(in(_14091, _13858))], clausify(d2_xboole_0)).
% 0.93/1.41 cnf(8, plain, [_15077 = set_difference(_14934, _15006), in(_15243, _15077), -(in(_15243, _14934))], clausify(d4_xboole_0)).
% 0.93/1.41 cnf(9, plain, [_15077 = set_difference(_14934, _15006), in(_15243, _15077), in(_15243, _15006)], clausify(d4_xboole_0)).
% 0.93/1.41 cnf(10, plain, [_15077 = set_difference(_14934, _15006), -(in(_15243, _15077)), in(_15243, _14934), -(in(_15243, _15006))], clausify(d4_xboole_0)).
% 0.93/1.41 cnf(11, plain, [-(_15077 = set_difference(_14934, _15006)), -(in(3 ^ [_15077, _15006, _14934], _15077)), -(in(3 ^ [_15077, _15006, _14934], _14934))], clausify(d4_xboole_0)).
% 0.93/1.41 cnf(12, plain, [-(_15077 = set_difference(_14934, _15006)), -(in(3 ^ [_15077, _15006, _14934], _15077)), in(3 ^ [_15077, _15006, _14934], _15006)], clausify(d4_xboole_0)).
% 0.93/1.41 cnf(13, plain, [-(_15077 = set_difference(_14934, _15006)), in(3 ^ [_15077, _15006, _14934], _15077), in(3 ^ [_15077, _15006, _14934], _14934), -(in(3 ^ [_15077, _15006, _14934], _15006))], clausify(d4_xboole_0)).
% 0.93/1.41
% 0.93/1.41 cnf('1',plain,[set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ []) = set_difference(6 ^ [], 7 ^ [])],start(1)).
% 0.93/1.41 cnf('1.1',plain,[-(set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ []) = set_difference(6 ^ [], 7 ^ [])), set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])],extension(5,bind([[_9096, _9141], [set_difference(6 ^ [], 7 ^ []), set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ [])), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_union2(6 ^ [], 7 ^ [])), -(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []))],extension(13,bind([[_15077, _14934, _15006], [set_difference(6 ^ [], 7 ^ []), set_union2(6 ^ [], 7 ^ []), 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 6 ^ []), -(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []))],extension(10,bind([[_15077, _14934, _15243, _15006], [set_difference(6 ^ [], 7 ^ []), 6 ^ [], 3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(2,bind([[_11463, _11530, _11596, _11661], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8943], [6 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_8943], [7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 6 ^ [])), set_union2(6 ^ [], 7 ^ []) = set_union2(6 ^ [], 7 ^ []), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_union2(6 ^ [], 7 ^ [])), -(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []))],extension(7,bind([[_13788, _13927, _14091, _13858], [6 ^ [], set_union2(6 ^ [], 7 ^ []), 3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1.2.1',plain,[-(set_union2(6 ^ [], 7 ^ []) = set_union2(6 ^ [], 7 ^ []))],extension(4,bind([[_8943], [set_union2(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.1.2.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_union2(6 ^ [], 7 ^ []))), -(set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])), -(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ [])))],extension(11,bind([[_15006, _14934, _15077], [7 ^ [], set_union2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.1.2.2.1',plain,[set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])],reduction('1.1')).
% 0.93/1.41 cnf('1.1.1.1.2.2.2',plain,[in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))],reduction('1.1.1')).
% 0.93/1.41 cnf('1.1.1.1.2.3',plain,[in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []), -(set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])), -(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ [])))],extension(12,bind([[_15006, _14934, _15077], [7 ^ [], set_union2(6 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.1.2.3.1',plain,[set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])],reduction('1.1')).
% 0.93/1.41 cnf('1.1.1.1.2.3.2',plain,[in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))],reduction('1.1.1')).
% 0.93/1.41 cnf('1.1.1.1.3',plain,[in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))],extension(9,bind([[_14934, _15006, _15243, _15077], [6 ^ [], 7 ^ [], 3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.1.3.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []))],extension(4,bind([[_8943], [set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.1.3.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))), -(set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ [])],extension(12,bind([[_15077, _14934, _15006], [set_difference(6 ^ [], 7 ^ []), set_union2(6 ^ [], 7 ^ []), 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.1.3.2.1',plain,[set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])],reduction('1.1')).
% 0.93/1.41 cnf('1.1.1.1.3.2.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []))],reduction('1.1.1.1')).
% 0.93/1.41 cnf('1.1.1.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_union2(6 ^ [], 7 ^ []))), set_union2(6 ^ [], 7 ^ []) = set_union2(6 ^ [], 7 ^ []), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 6 ^ [])],extension(6,bind([[_13927, _13858, _14091, _13788], [set_union2(6 ^ [], 7 ^ []), 7 ^ [], 3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 6 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.2.1',plain,[-(set_union2(6 ^ [], 7 ^ []) = set_union2(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(3,bind([[_12077, _12144, _12210, _12275], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.2.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8943], [6 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.2.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_8943], [7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.2.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 6 ^ [])), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))],extension(8,bind([[_14934, _15006, _15243, _15077], [6 ^ [], 7 ^ [], 3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.2.2.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []))],extension(4,bind([[_8943], [set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.2.2.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))), -(set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])), -(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_union2(6 ^ [], 7 ^ [])))],extension(11,bind([[_15077, _15006, _14934], [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.2.2.2.1',plain,[set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])],reduction('1.1')).
% 0.93/1.41 cnf('1.1.1.2.2.2.2',plain,[in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_union2(6 ^ [], 7 ^ []))],reduction('1.1.1')).
% 0.93/1.41 cnf('1.1.1.3',plain,[in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))],extension(9,bind([[_14934, _15006, _15243, _15077], [6 ^ [], 7 ^ [], 3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ [])]]))).
% 0.93/1.41 cnf('1.1.1.3.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(2,bind([[_11463, _11530, _11596, _11661], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.3.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8943], [6 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.3.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_8943], [7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.3.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))), -(set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])), in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ [])],extension(12,bind([[_15077, _14934, _15006], [set_difference(6 ^ [], 7 ^ []), set_union2(6 ^ [], 7 ^ []), 7 ^ []]]))).
% 0.93/1.41 cnf('1.1.1.3.2.1',plain,[set_difference(6 ^ [], 7 ^ []) = set_difference(set_union2(6 ^ [], 7 ^ []), 7 ^ [])],reduction('1.1')).
% 0.93/1.41 cnf('1.1.1.3.2.2',plain,[-(in(3 ^ [set_difference(6 ^ [], 7 ^ []), 7 ^ [], set_union2(6 ^ [], 7 ^ [])], 7 ^ []))],reduction('1.1.1')).
% 0.93/1.41 %-----------------------------------------------------
% 0.93/1.41
% 0.93/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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