TSTP Solution File: SEU135+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SEU135+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 0.50s 1.40s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU135+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 11:18:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.50/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/1.41
% 0.50/1.41 %-----------------------------------------------------
% 0.50/1.41 fof(t39_xboole_1, conjecture, ! [_39745, _39748] : set_union2(_39745, set_difference(_39748, _39745)) = set_union2(_39745, _39748), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t39_xboole_1)).
% 0.50/1.41 fof(d2_xboole_0, axiom, ! [_39953, _39956, _39959] : (_39959 = set_union2(_39953, _39956) <=> ! [_39980] : (in(_39980, _39959) <=> in(_39980, _39953) | in(_39980, _39956))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.50/1.41 fof(d4_xboole_0, axiom, ! [_40271, _40274, _40277] : (_40277 = set_difference(_40271, _40274) <=> ! [_40298] : (in(_40298, _40277) <=> in(_40298, _40271) & ~ in(_40298, _40274))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.50/1.41
% 0.50/1.41 cnf(1, plain, [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])], clausify(t39_xboole_1)).
% 0.50/1.41 cnf(2, plain, [-(set_difference(_11468, _11601) = set_difference(_11535, _11666)), _11468 = _11535, _11601 = _11666], theory(equality)).
% 0.50/1.41 cnf(3, plain, [-(set_union2(_12082, _12215) = set_union2(_12149, _12280)), _12082 = _12149, _12215 = _12280], theory(equality)).
% 0.50/1.41 cnf(4, plain, [-(_8948 = _8948)], theory(equality)).
% 0.50/1.41 cnf(5, plain, [_13932 = set_union2(_13793, _13863), -(in(_14096, _13932)), in(_14096, _13793)], clausify(d2_xboole_0)).
% 0.50/1.41 cnf(6, plain, [_13932 = set_union2(_13793, _13863), -(in(_14096, _13932)), in(_14096, _13863)], clausify(d2_xboole_0)).
% 0.50/1.41 cnf(7, plain, [_13932 = set_union2(_13793, _13863), in(_14096, _13932), -(in(_14096, _13793)), -(in(_14096, _13863))], clausify(d2_xboole_0)).
% 0.50/1.41 cnf(8, plain, [-(_13932 = set_union2(_13793, _13863)), in(1 ^ [_13932, _13863, _13793], _13932), in(1 ^ [_13932, _13863, _13793], _13793)], clausify(d2_xboole_0)).
% 0.50/1.41 cnf(9, plain, [-(_13932 = set_union2(_13793, _13863)), in(1 ^ [_13932, _13863, _13793], _13932), in(1 ^ [_13932, _13863, _13793], _13863)], clausify(d2_xboole_0)).
% 0.50/1.41 cnf(10, plain, [-(_13932 = set_union2(_13793, _13863)), -(in(1 ^ [_13932, _13863, _13793], _13932)), -(in(1 ^ [_13932, _13863, _13793], _13793)), -(in(1 ^ [_13932, _13863, _13793], _13863))], clausify(d2_xboole_0)).
% 0.50/1.41 cnf(11, plain, [_15082 = set_difference(_14939, _15011), in(_15248, _15082), -(in(_15248, _14939))], clausify(d4_xboole_0)).
% 0.50/1.41 cnf(12, plain, [_15082 = set_difference(_14939, _15011), -(in(_15248, _15082)), in(_15248, _14939), -(in(_15248, _15011))], clausify(d4_xboole_0)).
% 0.50/1.41
% 0.50/1.41 cnf('1',plain,[set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])],start(1)).
% 0.50/1.41 cnf('1.1',plain,[-(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])))), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ []))],extension(10,bind([[_13932, _13793, _13863], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 6 ^ [], 7 ^ []]]))).
% 0.50/1.41 cnf('1.1.1',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))), set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_difference(7 ^ [], 6 ^ [])))],extension(7,bind([[_13932, _13793, _14096, _13863], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 6 ^ [], 1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_difference(7 ^ [], 6 ^ [])]]))).
% 0.50/1.41 cnf('1.1.1.1',plain,[-(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))), 6 ^ [] = 6 ^ [], set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ [])],extension(3,bind([[_12082, _12149, _12215, _12280], [6 ^ [], 6 ^ [], set_difference(7 ^ [], 6 ^ []), set_difference(7 ^ [], 6 ^ [])]]))).
% 0.50/1.41 cnf('1.1.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8948], [6 ^ []]]))).
% 0.50/1.41 cnf('1.1.1.1.2',plain,[-(set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ []))],extension(4,bind([[_8948], [set_difference(7 ^ [], 6 ^ [])]]))).
% 0.50/1.41 cnf('1.1.1.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ []), set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))))],extension(5,bind([[_13793, _13863, _14096, _13932], [6 ^ [], set_difference(7 ^ [], 6 ^ []), 1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))]]))).
% 0.50/1.41 cnf('1.1.1.2.1',plain,[-(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])))],extension(4,bind([[_8948], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))]]))).
% 0.50/1.41 cnf('1.1.1.2.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))), -(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])), in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ [])],extension(8,bind([[_13932, _13863, _13793], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []]]))).
% 0.50/1.41 cnf('1.1.1.2.2.1',plain,[set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])],extension(1)).
% 0.50/1.41 cnf('1.1.1.2.2.2',plain,[-(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ []))],reduction('1.1.1')).
% 0.50/1.41 cnf('1.1.1.3',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_difference(7 ^ [], 6 ^ [])), set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ []), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ []))],extension(11,bind([[_15082, _15011, _15248, _14939], [set_difference(7 ^ [], 6 ^ []), 6 ^ [], 1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ []]]))).
% 0.50/1.41 cnf('1.1.1.3.1',plain,[-(set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ []))],extension(4,bind([[_8948], [set_difference(7 ^ [], 6 ^ [])]]))).
% 0.50/1.41 cnf('1.1.1.3.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ []), -(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])), in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])))],extension(9,bind([[_13863, _13793, _13932], [7 ^ [], 6 ^ [], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))]]))).
% 0.50/1.41 cnf('1.1.1.3.2.1',plain,[set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])],extension(1)).
% 0.50/1.41 cnf('1.1.1.3.2.2',plain,[-(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))))],reduction('1.1')).
% 0.50/1.41 cnf('1.1.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ []), set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))))],extension(5,bind([[_13793, _13863, _14096, _13932], [6 ^ [], set_difference(7 ^ [], 6 ^ []), 1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))]]))).
% 0.50/1.41 cnf('1.1.2.1',plain,[-(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))), 6 ^ [] = 6 ^ [], set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ [])],extension(3,bind([[_12082, _12149, _12215, _12280], [6 ^ [], 6 ^ [], set_difference(7 ^ [], 6 ^ []), set_difference(7 ^ [], 6 ^ [])]]))).
% 0.50/1.41 cnf('1.1.2.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8948], [6 ^ []]]))).
% 0.50/1.41 cnf('1.1.2.1.2',plain,[-(set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ []))],extension(4,bind([[_8948], [set_difference(7 ^ [], 6 ^ [])]]))).
% 0.50/1.41 cnf('1.1.2.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))), -(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])), in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ [])],extension(8,bind([[_13932, _13863, _13793], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []]]))).
% 0.50/1.41 cnf('1.1.2.2.1',plain,[set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])],extension(1)).
% 0.50/1.41 cnf('1.1.2.2.2',plain,[-(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ []))],reduction('1.1')).
% 0.50/1.41 cnf('1.1.3',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ []), set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ []), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_difference(7 ^ [], 6 ^ []))), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ []))],extension(12,bind([[_14939, _15082, _15248, _15011], [7 ^ [], set_difference(7 ^ [], 6 ^ []), 1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ []]]))).
% 0.50/1.42 cnf('1.1.3.1',plain,[-(set_difference(7 ^ [], 6 ^ []) = set_difference(7 ^ [], 6 ^ [])), 7 ^ [] = 7 ^ [], 6 ^ [] = 6 ^ []],extension(2,bind([[_11468, _11535, _11601, _11666], [7 ^ [], 7 ^ [], 6 ^ [], 6 ^ []]]))).
% 0.50/1.42 cnf('1.1.3.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_8948], [7 ^ []]]))).
% 0.50/1.42 cnf('1.1.3.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_8948], [6 ^ []]]))).
% 0.50/1.42 cnf('1.1.3.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_difference(7 ^ [], 6 ^ [])), set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), -(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))))],extension(6,bind([[_13793, _13863, _14096, _13932], [6 ^ [], set_difference(7 ^ [], 6 ^ []), 1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))]]))).
% 0.50/1.42 cnf('1.1.3.2.1',plain,[-(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])))],extension(4,bind([[_8948], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))]]))).
% 0.50/1.42 cnf('1.1.3.2.2',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ []))), -(set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])), in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ [])],extension(9,bind([[_13932, _13793, _13863], [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 6 ^ [], 7 ^ []]]))).
% 0.50/1.42 cnf('1.1.3.2.2.1',plain,[set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])) = set_union2(6 ^ [], 7 ^ [])],extension(1)).
% 0.50/1.42 cnf('1.1.3.2.2.2',plain,[-(in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 7 ^ []))],reduction('1.1')).
% 0.50/1.42 cnf('1.1.3.3',plain,[in(1 ^ [set_union2(6 ^ [], set_difference(7 ^ [], 6 ^ [])), 7 ^ [], 6 ^ []], 6 ^ [])],lemmata('1.1')).
% 0.50/1.42 %-----------------------------------------------------
% 0.50/1.42
% 0.50/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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