TSTP Solution File: REL003+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 : Mon Jul 18 19:37:09 EDT 2022
% Result : Theorem 0.76s 1.41s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 13:21:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.76/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/1.43
% 0.76/1.43 %-----------------------------------------------------
% 0.76/1.43 fof(goals, conjecture, ! [_26568, _26571] : ((join(_26568, _26571) = _26571 => join(converse(_26568), converse(_26571)) = converse(_26571)) & (join(converse(_26568), converse(_26571)) = converse(_26571) => join(_26568, _26571) = _26571)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)).
% 0.76/1.43 fof(converse_idempotence, axiom, ! [_26923] : converse(converse(_26923)) = _26923, file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', converse_idempotence)).
% 0.76/1.43 fof(converse_additivity, axiom, ! [_27044, _27047] : converse(join(_27044, _27047)) = join(converse(_27044), converse(_27047)), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', converse_additivity)).
% 0.76/1.43
% 0.76/1.43 cnf(1, plain, [-(4 ^ []), join(1 ^ [], 2 ^ []) = 2 ^ []], clausify(goals)).
% 0.76/1.43 cnf(2, plain, [-(4 ^ []), -(join(converse(1 ^ []), converse(2 ^ [])) = converse(2 ^ []))], clausify(goals)).
% 0.76/1.43 cnf(3, plain, [-(3 ^ []), join(converse(1 ^ []), converse(2 ^ [])) = converse(2 ^ [])], clausify(goals)).
% 0.76/1.43 cnf(4, plain, [-(3 ^ []), -(join(1 ^ [], 2 ^ []) = 2 ^ [])], clausify(goals)).
% 0.76/1.43 cnf(5, plain, [3 ^ [], 4 ^ []], clausify(goals)).
% 0.76/1.43 cnf(6, plain, [-(converse(converse(_14438)) = _14438)], clausify(converse_idempotence)).
% 0.76/1.43 cnf(7, plain, [-(converse(join(_14648, _14699)) = join(converse(_14648), converse(_14699)))], clausify(converse_additivity)).
% 0.76/1.43 cnf(8, plain, [-(_8120 = _8120)], theory(equality)).
% 0.76/1.43 cnf(9, plain, [_8273 = _8318, -(_8318 = _8273)], theory(equality)).
% 0.76/1.43 cnf(10, plain, [-(_8552 = _8663), _8552 = _8608, _8608 = _8663], theory(equality)).
% 0.76/1.43 cnf(11, plain, [_9981 = _10030, -(converse(_9981) = converse(_10030))], theory(equality)).
% 0.76/1.43
% 0.76/1.43 cnf('1',plain,[3 ^ [], 4 ^ []],start(5)).
% 0.76/1.43 cnf('1.1',plain,[-(3 ^ []), -(join(1 ^ [], 2 ^ []) = 2 ^ [])],extension(4)).
% 0.76/1.43 cnf('1.1.1',plain,[join(1 ^ [], 2 ^ []) = 2 ^ [], -(2 ^ [] = join(1 ^ [], 2 ^ []))],extension(9,bind([[_8318, _8273], [2 ^ [], join(1 ^ [], 2 ^ [])]]))).
% 0.76/1.43 cnf('1.1.1.1',plain,[2 ^ [] = join(1 ^ [], 2 ^ []), -(2 ^ [] = join(1 ^ [], 2 ^ [])), 2 ^ [] = 2 ^ []],extension(10,bind([[_8663, _8552, _8608], [join(1 ^ [], 2 ^ []), 2 ^ [], 2 ^ []]]))).
% 0.76/1.43 cnf('1.1.1.1.1',plain,[2 ^ [] = join(1 ^ [], 2 ^ []), -(converse(2 ^ []) = converse(join(1 ^ [], 2 ^ [])))],extension(11,bind([[_9981, _10030], [2 ^ [], join(1 ^ [], 2 ^ [])]]))).
% 0.76/1.43 cnf('1.1.1.1.1.1',plain,[converse(2 ^ []) = converse(join(1 ^ [], 2 ^ [])), -(converse(2 ^ []) = join(converse(1 ^ []), converse(2 ^ []))), converse(join(1 ^ [], 2 ^ [])) = join(converse(1 ^ []), converse(2 ^ []))],extension(10,bind([[_8552, _8608, _8663], [converse(2 ^ []), converse(join(1 ^ [], 2 ^ [])), join(converse(1 ^ []), converse(2 ^ []))]]))).
% 0.76/1.43 cnf('1.1.1.1.1.1.1',plain,[converse(2 ^ []) = join(converse(1 ^ []), converse(2 ^ [])), -(join(converse(1 ^ []), converse(2 ^ [])) = converse(2 ^ []))],extension(9,bind([[_8318, _8273], [join(converse(1 ^ []), converse(2 ^ [])), converse(2 ^ [])]]))).
% 0.76/1.43 cnf('1.1.1.1.1.1.1.1',plain,[join(converse(1 ^ []), converse(2 ^ [])) = converse(2 ^ []), -(3 ^ [])],extension(3)).
% 0.76/1.43 cnf('1.1.1.1.1.1.1.1.1',plain,[3 ^ []],reduction('1')).
% 0.76/1.43 cnf('1.1.1.1.1.1.2',plain,[-(converse(join(1 ^ [], 2 ^ [])) = join(converse(1 ^ []), converse(2 ^ [])))],extension(7,bind([[_14648, _14699], [1 ^ [], 2 ^ []]]))).
% 0.76/1.43 cnf('1.1.1.1.2',plain,[-(2 ^ [] = 2 ^ [])],extension(8,bind([[_8120], [2 ^ []]]))).
% 0.76/1.43 cnf('1.2',plain,[-(4 ^ []), -(join(converse(1 ^ []), converse(2 ^ [])) = converse(2 ^ []))],extension(2)).
% 0.76/1.43 cnf('1.2.1',plain,[join(converse(1 ^ []), converse(2 ^ [])) = converse(2 ^ []), -(converse(join(1 ^ [], 2 ^ [])) = converse(2 ^ [])), converse(join(1 ^ [], 2 ^ [])) = join(converse(1 ^ []), converse(2 ^ []))],extension(10,bind([[_8663, _8552, _8608], [converse(2 ^ []), converse(join(1 ^ [], 2 ^ [])), join(converse(1 ^ []), converse(2 ^ []))]]))).
% 0.76/1.43 cnf('1.2.1.1',plain,[converse(join(1 ^ [], 2 ^ [])) = converse(2 ^ []), -(converse(converse(join(1 ^ [], 2 ^ []))) = converse(converse(2 ^ [])))],extension(11,bind([[_9981, _10030], [converse(join(1 ^ [], 2 ^ [])), converse(2 ^ [])]]))).
% 0.76/1.43 cnf('1.2.1.1.1',plain,[converse(converse(join(1 ^ [], 2 ^ []))) = converse(converse(2 ^ [])), -(join(1 ^ [], 2 ^ []) = converse(converse(2 ^ []))), join(1 ^ [], 2 ^ []) = converse(converse(join(1 ^ [], 2 ^ [])))],extension(10,bind([[_8663, _8552, _8608], [converse(converse(2 ^ [])), join(1 ^ [], 2 ^ []), converse(converse(join(1 ^ [], 2 ^ [])))]]))).
% 0.76/1.43 cnf('1.2.1.1.1.1',plain,[join(1 ^ [], 2 ^ []) = converse(converse(2 ^ [])), -(join(1 ^ [], 2 ^ []) = 2 ^ []), converse(converse(2 ^ [])) = 2 ^ []],extension(10,bind([[_8552, _8608, _8663], [join(1 ^ [], 2 ^ []), converse(converse(2 ^ [])), 2 ^ []]]))).
% 0.76/1.43 cnf('1.2.1.1.1.1.1',plain,[join(1 ^ [], 2 ^ []) = 2 ^ [], -(4 ^ [])],extension(1)).
% 0.76/1.43 cnf('1.2.1.1.1.1.1.1',plain,[4 ^ []],reduction('1')).
% 0.76/1.43 cnf('1.2.1.1.1.1.2',plain,[-(converse(converse(2 ^ [])) = 2 ^ [])],extension(6,bind([[_14438], [2 ^ []]]))).
% 0.76/1.43 cnf('1.2.1.1.1.2',plain,[-(join(1 ^ [], 2 ^ []) = converse(converse(join(1 ^ [], 2 ^ [])))), converse(converse(join(1 ^ [], 2 ^ []))) = join(1 ^ [], 2 ^ [])],extension(9,bind([[_8273, _8318], [converse(converse(join(1 ^ [], 2 ^ []))), join(1 ^ [], 2 ^ [])]]))).
% 0.76/1.43 cnf('1.2.1.1.1.2.1',plain,[-(converse(converse(join(1 ^ [], 2 ^ []))) = join(1 ^ [], 2 ^ []))],extension(6,bind([[_14438], [join(1 ^ [], 2 ^ [])]]))).
% 0.76/1.43 cnf('1.2.1.2',plain,[-(converse(join(1 ^ [], 2 ^ [])) = join(converse(1 ^ []), converse(2 ^ [])))],extension(7,bind([[_14648, _14699], [1 ^ [], 2 ^ []]]))).
% 0.76/1.43 %-----------------------------------------------------
% 0.76/1.43
% 0.76/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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