TSTP Solution File: COM007+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 : Fri Jul 15 01:27:45 EDT 2022
% Result : Theorem 58.35s 59.28s
% Output : Proof 58.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n012.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 : Thu Jun 16 19:52:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 58.35/59.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.35/59.29 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.35/59.29
% 58.35/59.29 %-----------------------------------------------------
% 58.35/59.29 fof(rewrite_diamond, axiom, ! [_17118, _17121, _17124] : (rewrite(_17118, _17121) & rewrite(_17118, _17124) => ? [_17152] : (rewrite(_17121, _17152) & rewrite(_17124, _17152))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rewrite_diamond)).
% 58.35/59.29 fof(goal_to_be_proved, conjecture, goal, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_to_be_proved)).
% 58.35/59.29 fof(assumption, axiom, reflexive_rewrite(a, b) & reflexive_rewrite(a, c), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', assumption)).
% 58.35/59.29 fof(goal_ax, axiom, ! [_17487] : (reflexive_rewrite(b, _17487) & reflexive_rewrite(c, _17487) => goal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_ax)).
% 58.35/59.29 fof(reflexivity, axiom, ! [_17634] : equalish(_17634, _17634), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity)).
% 58.35/59.29 fof(symmtery, axiom, ! [_17741, _17744] : (equalish(_17741, _17744) => equalish(_17744, _17741)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmtery)).
% 58.35/59.29 fof(substitution, axiom, ! [_17887, _17890, _17893] : (equalish(_17887, _17890) & reflexive_rewrite(_17890, _17893) => reflexive_rewrite(_17887, _17893)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', substitution)).
% 58.35/59.29 fof(equalish_in_reflexive_rewrite, axiom, ! [_18072, _18075] : (equalish(_18072, _18075) => reflexive_rewrite(_18072, _18075)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equalish_in_reflexive_rewrite)).
% 58.35/59.29 fof(rewrite_in_reflexive_rewrite, axiom, ! [_18218, _18221] : (rewrite(_18218, _18221) => reflexive_rewrite(_18218, _18221)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rewrite_in_reflexive_rewrite)).
% 58.35/59.29 fof(equalish_or_rewrite, axiom, ! [_18364, _18367] : (reflexive_rewrite(_18364, _18367) => equalish(_18364, _18367) | rewrite(_18364, _18367)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equalish_or_rewrite)).
% 58.35/59.29
% 58.35/59.29 cnf(1, plain, [-(2 ^ [_6914, _6848, _6781]), -(rewrite(_6914, 1 ^ [_6914, _6848, _6781]))], clausify(rewrite_diamond)).
% 58.35/59.29 cnf(2, plain, [-(2 ^ [_6914, _6848, _6781]), -(rewrite(_6848, 1 ^ [_6914, _6848, _6781]))], clausify(rewrite_diamond)).
% 58.35/59.29 cnf(3, plain, [goal], clausify(goal_to_be_proved)).
% 58.35/59.29 cnf(4, plain, [-(reflexive_rewrite(a, b))], clausify(assumption)).
% 58.35/59.29 cnf(5, plain, [-(reflexive_rewrite(a, c))], clausify(assumption)).
% 58.35/59.29 cnf(6, plain, [-(goal), reflexive_rewrite(b, _4530), reflexive_rewrite(c, _4530)], clausify(goal_ax)).
% 58.35/59.29 cnf(7, plain, [-(equalish(_4824, _4824))], clausify(reflexivity)).
% 58.35/59.29 cnf(8, plain, [equalish(_4998, _5043), -(equalish(_5043, _4998))], clausify(symmtery)).
% 58.35/59.29 cnf(9, plain, [-(reflexive_rewrite(_5308, _5419)), equalish(_5308, _5364), reflexive_rewrite(_5364, _5419)], clausify(substitution)).
% 58.35/59.29 cnf(10, plain, [equalish(_5775, _5820), -(reflexive_rewrite(_5775, _5820))], clausify(equalish_in_reflexive_rewrite)).
% 58.35/59.29 cnf(11, plain, [rewrite(_6085, _6130), -(reflexive_rewrite(_6085, _6130))], clausify(rewrite_in_reflexive_rewrite)).
% 58.35/59.29 cnf(12, plain, [reflexive_rewrite(_6395, _6446), -(equalish(_6395, _6446)), -(rewrite(_6395, _6446))], clausify(equalish_or_rewrite)).
% 58.35/59.29 cnf(13, plain, [2 ^ [_6914, _6848, _6781], rewrite(_6781, _6848), rewrite(_6781, _6914)], clausify(rewrite_diamond)).
% 58.35/59.29
% 58.35/59.29 cnf('1',plain,[2 ^ [b, c, a], rewrite(a, c), rewrite(a, b)],start(13,bind([[_6848, _6781, _6914], [c, a, b]]))).
% 58.35/59.29 cnf('1.1',plain,[-(2 ^ [b, c, a]), -(rewrite(b, 1 ^ [b, c, a]))],extension(1,bind([[_6914, _6848, _6781], [b, c, a]]))).
% 58.35/59.29 cnf('1.1.1',plain,[rewrite(b, 1 ^ [b, c, a]), -(reflexive_rewrite(b, 1 ^ [b, c, a]))],extension(11,bind([[_6085, _6130], [b, 1 ^ [b, c, a]]]))).
% 58.35/59.29 cnf('1.1.1.1',plain,[reflexive_rewrite(b, 1 ^ [b, c, a]), -(goal), reflexive_rewrite(c, 1 ^ [b, c, a])],extension(6,bind([[_4530], [1 ^ [b, c, a]]]))).
% 58.35/59.29 cnf('1.1.1.1.1',plain,[goal],extension(3)).
% 58.35/59.29 cnf('1.1.1.1.2',plain,[-(reflexive_rewrite(c, 1 ^ [b, c, a])), rewrite(c, 1 ^ [b, c, a])],extension(11,bind([[_6085, _6130], [c, 1 ^ [b, c, a]]]))).
% 58.35/59.29 cnf('1.1.1.1.2.1',plain,[-(rewrite(c, 1 ^ [b, c, a])), -(2 ^ [b, c, a])],extension(2,bind([[_6914, _6848, _6781], [b, c, a]]))).
% 58.35/59.29 cnf('1.1.1.1.2.1.1',plain,[2 ^ [b, c, a]],reduction('1')).
% 58.35/59.29 cnf('1.2',plain,[-(rewrite(a, c)), reflexive_rewrite(a, c), -(equalish(a, c))],extension(12,bind([[_6395, _6446], [a, c]]))).
% 58.35/59.29 cnf('1.2.1',plain,[-(reflexive_rewrite(a, c))],extension(5)).
% 58.35/59.29 cnf('1.2.2',plain,[equalish(a, c), -(equalish(c, a))],extension(8,bind([[_5043, _4998], [c, a]]))).
% 58.35/59.29 cnf('1.2.2.1',plain,[equalish(c, a), -(reflexive_rewrite(c, b)), reflexive_rewrite(a, b)],extension(9,bind([[_5308, _5364, _5419], [c, a, b]]))).
% 58.35/59.29 cnf('1.2.2.1.1',plain,[reflexive_rewrite(c, b), -(goal), reflexive_rewrite(b, b)],extension(6,bind([[_4530], [b]]))).
% 58.35/59.29 cnf('1.2.2.1.1.1',plain,[goal],extension(3)).
% 58.35/59.29 cnf('1.2.2.1.1.2',plain,[-(reflexive_rewrite(b, b)), equalish(b, b)],extension(10,bind([[_5775, _5820], [b, b]]))).
% 58.35/59.29 cnf('1.2.2.1.1.2.1',plain,[-(equalish(b, b))],extension(7,bind([[_4824], [b]]))).
% 58.35/59.29 cnf('1.2.2.1.2',plain,[-(reflexive_rewrite(a, b))],extension(4)).
% 58.35/59.29 cnf('1.3',plain,[-(rewrite(a, b)), reflexive_rewrite(a, b), -(equalish(a, b))],extension(12,bind([[_6395, _6446], [a, b]]))).
% 58.35/59.29 cnf('1.3.1',plain,[-(reflexive_rewrite(a, b))],extension(4)).
% 58.35/59.29 cnf('1.3.2',plain,[equalish(a, b), -(equalish(b, a))],extension(8,bind([[_5043, _4998], [b, a]]))).
% 58.35/59.29 cnf('1.3.2.1',plain,[equalish(b, a), -(reflexive_rewrite(b, c)), reflexive_rewrite(a, c)],extension(9,bind([[_5308, _5364, _5419], [b, a, c]]))).
% 58.35/59.29 cnf('1.3.2.1.1',plain,[reflexive_rewrite(b, c), -(goal), reflexive_rewrite(c, c)],extension(6,bind([[_4530], [c]]))).
% 58.35/59.29 cnf('1.3.2.1.1.1',plain,[goal],extension(3)).
% 58.35/59.29 cnf('1.3.2.1.1.2',plain,[-(reflexive_rewrite(c, c)), equalish(c, c)],extension(10,bind([[_5775, _5820], [c, c]]))).
% 58.35/59.29 cnf('1.3.2.1.1.2.1',plain,[-(equalish(c, c))],extension(7,bind([[_4824], [c]]))).
% 58.35/59.29 cnf('1.3.2.1.2',plain,[-(reflexive_rewrite(a, c))],extension(5)).
% 58.35/59.29 %-----------------------------------------------------
% 58.35/59.30
% 58.35/59.30 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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