TSTP Solution File: SEU126+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 12:00:16 EDT 2022
% Result : Theorem 0.35s 1.39s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n011.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 10:26:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 fof(t12_xboole_1, conjecture, ! [_41929, _41932] : (subset(_41929, _41932) => set_union2(_41929, _41932) = _41932), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_xboole_1)).
% 0.35/1.41 fof(d2_xboole_0, axiom, ! [_42130, _42133, _42136] : (_42136 = set_union2(_42130, _42133) <=> ! [_42157] : (in(_42157, _42136) <=> in(_42157, _42130) | in(_42157, _42133))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.35/1.41 fof(d3_tarski, axiom, ! [_42399, _42402] : (subset(_42399, _42402) <=> ! [_42420] : (in(_42420, _42399) => in(_42420, _42402))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.35/1.41
% 0.35/1.41 cnf(1, plain, [-(subset(9 ^ [], 10 ^ []))], clausify(t12_xboole_1)).
% 0.35/1.41 cnf(2, plain, [set_union2(9 ^ [], 10 ^ []) = 10 ^ []], clausify(t12_xboole_1)).
% 0.35/1.41 cnf(3, plain, [_13174 = _13219, -(_13219 = _13174)], theory(equality)).
% 0.35/1.41 cnf(4, plain, [-(_19278 = set_union2(_19139, _19209)), in(2 ^ [_19278, _19209, _19139], _19278), in(2 ^ [_19278, _19209, _19139], _19209)], clausify(d2_xboole_0)).
% 0.35/1.41 cnf(5, plain, [-(_19278 = set_union2(_19139, _19209)), -(in(2 ^ [_19278, _19209, _19139], _19278)), -(in(2 ^ [_19278, _19209, _19139], _19139)), -(in(2 ^ [_19278, _19209, _19139], _19209))], clausify(d2_xboole_0)).
% 0.35/1.41 cnf(6, plain, [subset(_19824, _19880), in(_19994, _19824), -(in(_19994, _19880))], clausify(d3_tarski)).
% 0.35/1.41
% 0.35/1.41 cnf('1',plain,[set_union2(9 ^ [], 10 ^ []) = 10 ^ []],start(2)).
% 0.35/1.41 cnf('1.1',plain,[-(set_union2(9 ^ [], 10 ^ []) = 10 ^ []), 10 ^ [] = set_union2(9 ^ [], 10 ^ [])],extension(3,bind([[_13174, _13219], [10 ^ [], set_union2(9 ^ [], 10 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1',plain,[-(10 ^ [] = set_union2(9 ^ [], 10 ^ [])), -(in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ [])), -(in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 9 ^ [])), -(in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ []))],extension(5,bind([[_19278, _19139, _19209], [10 ^ [], 9 ^ [], 10 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.1',plain,[in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ []), -(10 ^ [] = set_union2(9 ^ [], 10 ^ [])), in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ [])],extension(4,bind([[_19278, _19139, _19209], [10 ^ [], 9 ^ [], 10 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.1.1',plain,[10 ^ [] = set_union2(9 ^ [], 10 ^ [])],reduction('1.1')).
% 0.35/1.41 cnf('1.1.1.1.2',plain,[-(in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ []))],reduction('1.1.1')).
% 0.35/1.41 cnf('1.1.1.2',plain,[in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 9 ^ []), subset(9 ^ [], 10 ^ []), -(in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ []))],extension(6,bind([[_19824, _19994, _19880], [9 ^ [], 2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.2.1',plain,[-(subset(9 ^ [], 10 ^ []))],extension(1)).
% 0.35/1.41 cnf('1.1.1.2.2',plain,[in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ [])],lemmata('1.1.1')).
% 0.35/1.41 cnf('1.1.1.3',plain,[in(2 ^ [10 ^ [], 10 ^ [], 9 ^ []], 10 ^ [])],lemmata('1.1.1')).
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41
% 0.35/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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