TSTP Solution File: MSC012+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 : Sun Jul 17 22:50:07 EDT 2022
% Result : Theorem 0.37s 1.42s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 1 16:39:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.44
% 0.37/1.44 %-----------------------------------------------------
% 0.37/1.44 fof(goal_to_be_proved, conjecture, goal, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_to_be_proved)).
% 0.37/1.44 fof(left_to_right, axiom, ! [_16407, _16410] : (p(_16407) & less(_16407, _16410) & p(_16410) => goal), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', left_to_right)).
% 0.37/1.44 fof(right_to_left, axiom, ! [_16579] : (p(_16579) | ? [_16594] : (less(_16579, _16594) & p(_16594))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', right_to_left)).
% 0.37/1.44 fof(serial_less, axiom, ! [_16770] : ? [_16778] : less(_16770, _16778), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', serial_less)).
% 0.37/1.44 fof(transitive_less, axiom, ! [_16907, _16910, _16913] : (less(_16907, _16910) & less(_16910, _16913) => less(_16907, _16913)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitive_less)).
% 0.37/1.44
% 0.37/1.44 cnf(1, plain, [goal], clausify(goal_to_be_proved)).
% 0.37/1.44 cnf(2, plain, [-(goal), p(_3489), less(_3489, _3541), p(_3541)], clausify(left_to_right)).
% 0.37/1.44 cnf(3, plain, [-(p(_3882)), -(less(_3882, 1 ^ [_3882]))], clausify(right_to_left)).
% 0.37/1.44 cnf(4, plain, [-(p(_3882)), -(p(1 ^ [_3882]))], clausify(right_to_left)).
% 0.37/1.44 cnf(5, plain, [-(less(_4685, 2 ^ [_4685]))], clausify(serial_less)).
% 0.37/1.44 cnf(6, plain, [-(less(_4228, _4339)), less(_4228, _4284), less(_4284, _4339)], clausify(transitive_less)).
% 0.37/1.44
% 0.37/1.44 cnf('1',plain,[goal],start(1)).
% 0.37/1.44 cnf('1.1',plain,[-(goal), p(_5871), less(_5871, 1 ^ [_5871]), p(1 ^ [_5871])],extension(2,bind([[_3489, _3541], [_5871, 1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.1',plain,[-(p(_5871)), -(p(1 ^ [_5871]))],extension(4,bind([[_3882], [_5871]]))).
% 0.37/1.44 cnf('1.1.1.1',plain,[p(1 ^ [_5871]), -(goal), less(1 ^ [_5871], 1 ^ [2 ^ [1 ^ [_5871]]]), p(1 ^ [2 ^ [1 ^ [_5871]]])],extension(2,bind([[_3489, _3541], [1 ^ [_5871], 1 ^ [2 ^ [1 ^ [_5871]]]]]))).
% 0.37/1.44 cnf('1.1.1.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.1.1.2',plain,[-(less(1 ^ [_5871], 1 ^ [2 ^ [1 ^ [_5871]]])), less(1 ^ [_5871], 2 ^ [1 ^ [_5871]]), less(2 ^ [1 ^ [_5871]], 1 ^ [2 ^ [1 ^ [_5871]]])],extension(6,bind([[_4228, _4284, _4339], [1 ^ [_5871], 2 ^ [1 ^ [_5871]], 1 ^ [2 ^ [1 ^ [_5871]]]]]))).
% 0.37/1.44 cnf('1.1.1.1.2.1',plain,[-(less(1 ^ [_5871], 2 ^ [1 ^ [_5871]]))],extension(5,bind([[_4685], [1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.1.1.2.2',plain,[-(less(2 ^ [1 ^ [_5871]], 1 ^ [2 ^ [1 ^ [_5871]]])), -(p(2 ^ [1 ^ [_5871]]))],extension(3,bind([[_3882], [2 ^ [1 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.1.1.2.2.1',plain,[p(2 ^ [1 ^ [_5871]]), -(goal), p(1 ^ [_5871]), less(1 ^ [_5871], 2 ^ [1 ^ [_5871]])],extension(2,bind([[_3489, _3541], [1 ^ [_5871], 2 ^ [1 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.1.1.2.2.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.1.1.2.2.1.2',plain,[-(p(1 ^ [_5871]))],reduction('1.1.1')).
% 0.37/1.44 cnf('1.1.1.1.2.2.1.3',plain,[-(less(1 ^ [_5871], 2 ^ [1 ^ [_5871]]))],extension(5,bind([[_4685], [1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.1.1.3',plain,[-(p(1 ^ [2 ^ [1 ^ [_5871]]])), -(p(2 ^ [1 ^ [_5871]]))],extension(4,bind([[_3882], [2 ^ [1 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.1.1.3.1',plain,[p(2 ^ [1 ^ [_5871]]), -(goal), p(1 ^ [_5871]), less(1 ^ [_5871], 2 ^ [1 ^ [_5871]])],extension(2,bind([[_3489, _3541], [1 ^ [_5871], 2 ^ [1 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.1.1.3.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.1.1.3.1.2',plain,[-(p(1 ^ [_5871]))],reduction('1.1.1')).
% 0.37/1.44 cnf('1.1.1.1.3.1.3',plain,[-(less(1 ^ [_5871], 2 ^ [1 ^ [_5871]]))],extension(5,bind([[_4685], [1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.2',plain,[-(less(_5871, 1 ^ [_5871])), -(p(_5871))],extension(3,bind([[_3882], [_5871]]))).
% 0.37/1.44 cnf('1.1.2.1',plain,[p(_5871), -(goal), less(_5871, 1 ^ [2 ^ [_5871]]), p(1 ^ [2 ^ [_5871]])],extension(2,bind([[_3489, _3541], [_5871, 1 ^ [2 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.2.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.2.1.2',plain,[-(less(_5871, 1 ^ [2 ^ [_5871]])), less(_5871, 2 ^ [_5871]), less(2 ^ [_5871], 1 ^ [2 ^ [_5871]])],extension(6,bind([[_4228, _4284, _4339], [_5871, 2 ^ [_5871], 1 ^ [2 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.2.1.2.1',plain,[-(less(_5871, 2 ^ [_5871]))],extension(5,bind([[_4685], [_5871]]))).
% 0.37/1.44 cnf('1.1.2.1.2.2',plain,[-(less(2 ^ [_5871], 1 ^ [2 ^ [_5871]])), -(p(2 ^ [_5871]))],extension(3,bind([[_3882], [2 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.2.1.2.2.1',plain,[p(2 ^ [_5871]), -(goal), p(_5871), less(_5871, 2 ^ [_5871])],extension(2,bind([[_3489, _3541], [_5871, 2 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.2.1.2.2.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.2.1.2.2.1.2',plain,[-(p(_5871))],lemmata('1.1')).
% 0.37/1.44 cnf('1.1.2.1.2.2.1.3',plain,[-(less(_5871, 2 ^ [_5871]))],extension(5,bind([[_4685], [_5871]]))).
% 0.37/1.44 cnf('1.1.2.1.3',plain,[-(p(1 ^ [2 ^ [_5871]])), -(p(2 ^ [_5871]))],extension(4,bind([[_3882], [2 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.2.1.3.1',plain,[p(2 ^ [_5871]), -(goal), p(_5871), less(_5871, 2 ^ [_5871])],extension(2,bind([[_3489, _3541], [_5871, 2 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.2.1.3.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.2.1.3.1.2',plain,[-(p(_5871))],lemmata('1.1')).
% 0.37/1.44 cnf('1.1.2.1.3.1.3',plain,[-(less(_5871, 2 ^ [_5871]))],extension(5,bind([[_4685], [_5871]]))).
% 0.37/1.44 cnf('1.1.3',plain,[-(p(1 ^ [_5871])), -(less(1 ^ [_5871], 1 ^ [1 ^ [_5871]]))],extension(3,bind([[_3882], [1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.3.1',plain,[less(1 ^ [_5871], 1 ^ [1 ^ [_5871]]), -(less(_5871, 1 ^ [1 ^ [_5871]])), less(_5871, 1 ^ [_5871])],extension(6,bind([[_4339, _4228, _4284], [1 ^ [1 ^ [_5871]], _5871, 1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.3.1.1',plain,[less(_5871, 1 ^ [1 ^ [_5871]]), -(goal), p(_5871), p(1 ^ [1 ^ [_5871]])],extension(2,bind([[_3489, _3541], [_5871, 1 ^ [1 ^ [_5871]]]]))).
% 0.37/1.44 cnf('1.1.3.1.1.1',plain,[goal],extension(1)).
% 0.37/1.44 cnf('1.1.3.1.1.2',plain,[-(p(_5871)), -(p(1 ^ [_5871]))],extension(4,bind([[_3882], [_5871]]))).
% 0.37/1.44 cnf('1.1.3.1.1.2.1',plain,[p(1 ^ [_5871])],reduction('1.1')).
% 0.37/1.44 cnf('1.1.3.1.1.3',plain,[-(p(1 ^ [1 ^ [_5871]])), -(p(1 ^ [_5871]))],extension(4,bind([[_3882], [1 ^ [_5871]]]))).
% 0.37/1.44 cnf('1.1.3.1.1.3.1',plain,[p(1 ^ [_5871])],reduction('1.1')).
% 0.37/1.44 cnf('1.1.3.1.2',plain,[-(less(_5871, 1 ^ [_5871]))],lemmata('1.1')).
% 0.37/1.44 %-----------------------------------------------------
% 0.37/1.44
% 0.37/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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