TSTP Solution File: SYN549+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 : Thu Jul 21 08:19:37 EDT 2022
% Result : Theorem 0.30s 1.41s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN549+1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n027.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 Jul 11 19:41:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.30/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.42
% 0.30/1.42 %-----------------------------------------------------
% 0.30/1.42 fof(prove_this, conjecture, ? [_18795] : (reachable(initial_world, _18795) & ! [_18813] : (reachable(_18795, _18813) => (? [_18831] : (reachable(_18813, _18831) & (p(_18831) | ? [_18856] : (reachable(_18831, _18856) & q(_18856)))) <=> ? [_18881] : (reachable(_18813, _18881) & p(_18881)) | ? [_18881] : (reachable(_18813, _18881) & q(_18881))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.30/1.42 fof(reflexivity_of_reachable, axiom, ! [_19451] : reachable(_19451, _19451), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_of_reachable)).
% 0.30/1.42 fof(transitivity_of_reachable, axiom, ! [_19558, _19561, _19564] : (reachable(_19558, _19561) & reachable(_19561, _19564) => reachable(_19558, _19564)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitivity_of_reachable)).
% 0.30/1.42
% 0.30/1.42 cnf(1, plain, [-(10 ^ [_5539, _4241]), reachable(_5539, _5555), q(_5555)], clausify(prove_this)).
% 0.30/1.42 cnf(2, plain, [-(10 ^ [_5539, _4241]), p(_5539)], clausify(prove_this)).
% 0.30/1.42 cnf(3, plain, [-(9 ^ [_4241]), -(q(8 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(4, plain, [-(9 ^ [_4241]), -(reachable(1 ^ [_4241], 8 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(5, plain, [-(7 ^ [_4241]), -(p(6 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(6, plain, [-(7 ^ [_4241]), -(reachable(1 ^ [_4241], 6 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(7, plain, [-(11 ^ [_4241]), reachable(1 ^ [_4241], _5539), 10 ^ [_5539, _4241]], clausify(prove_this)).
% 0.30/1.42 cnf(8, plain, [-(11 ^ [_4241]), 7 ^ [_4241], 9 ^ [_4241]], clausify(prove_this)).
% 0.30/1.42 cnf(9, plain, [-(4 ^ [_4241]), -(q(3 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(10, plain, [-(4 ^ [_4241]), -(reachable(2 ^ [_4241], 3 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(11, plain, [-(5 ^ [_4241]), reachable(1 ^ [_4241], _5584), q(_5584)], clausify(prove_this)).
% 0.30/1.42 cnf(12, plain, [-(5 ^ [_4241]), reachable(1 ^ [_4241], _5571), p(_5571)], clausify(prove_this)).
% 0.30/1.42 cnf(13, plain, [-(5 ^ [_4241]), -(p(2 ^ [_4241])), 4 ^ [_4241]], clausify(prove_this)).
% 0.30/1.42 cnf(14, plain, [-(5 ^ [_4241]), -(reachable(1 ^ [_4241], 2 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(15, plain, [-(12 ^ [_4241]), 11 ^ [_4241], 5 ^ [_4241]], clausify(prove_this)).
% 0.30/1.42 cnf(16, plain, [-(12 ^ [_4241]), -(reachable(_4241, 1 ^ [_4241]))], clausify(prove_this)).
% 0.30/1.42 cnf(17, plain, [reachable(initial_world, _4241), 12 ^ [_4241]], clausify(prove_this)).
% 0.30/1.42 cnf(18, plain, [-(reachable(_3604, _3604))], clausify(reflexivity_of_reachable)).
% 0.30/1.42 cnf(19, plain, [-(reachable(_3768, _3879)), reachable(_3768, _3824), reachable(_3824, _3879)], clausify(transitivity_of_reachable)).
% 0.30/1.42
% 0.30/1.42 cnf('1',plain,[reachable(initial_world, 1 ^ [initial_world]), 12 ^ [1 ^ [initial_world]]],start(17,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.1',plain,[-(reachable(initial_world, 1 ^ [initial_world])), -(12 ^ [initial_world])],extension(16,bind([[_4241], [initial_world]]))).
% 0.30/1.42 cnf('1.1.1',plain,[12 ^ [initial_world], reachable(initial_world, initial_world)],extension(17,bind([[_4241], [initial_world]]))).
% 0.30/1.42 cnf('1.1.1.1',plain,[-(reachable(initial_world, initial_world))],extension(18,bind([[_3604], [initial_world]]))).
% 0.30/1.42 cnf('1.2',plain,[-(12 ^ [1 ^ [initial_world]]), 11 ^ [1 ^ [initial_world]], 5 ^ [1 ^ [initial_world]]],extension(15,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1',plain,[-(11 ^ [1 ^ [initial_world]]), 7 ^ [1 ^ [initial_world]], 9 ^ [1 ^ [initial_world]]],extension(8,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1.1',plain,[-(7 ^ [1 ^ [initial_world]]), -(p(6 ^ [1 ^ [initial_world]]))],extension(5,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1.1.1',plain,[p(6 ^ [1 ^ [initial_world]]), -(10 ^ [6 ^ [1 ^ [initial_world]], 1 ^ [initial_world]])],extension(2,bind([[_5539, _4241], [6 ^ [1 ^ [initial_world]], 1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1.1.1.1',plain,[10 ^ [6 ^ [1 ^ [initial_world]], 1 ^ [initial_world]], -(11 ^ [1 ^ [initial_world]]), reachable(1 ^ [1 ^ [initial_world]], 6 ^ [1 ^ [initial_world]])],extension(7,bind([[_4241, _5539], [1 ^ [initial_world], 6 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.1.1.1.1.1',plain,[11 ^ [1 ^ [initial_world]]],reduction('1.2')).
% 0.30/1.42 cnf('1.2.1.1.1.1.2',plain,[-(reachable(1 ^ [1 ^ [initial_world]], 6 ^ [1 ^ [initial_world]])), -(7 ^ [1 ^ [initial_world]])],extension(6,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1.1.1.1.2.1',plain,[7 ^ [1 ^ [initial_world]]],reduction('1.2.1')).
% 0.30/1.42 cnf('1.2.1.2',plain,[-(9 ^ [1 ^ [initial_world]]), -(q(8 ^ [1 ^ [initial_world]]))],extension(3,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1.2.1',plain,[q(8 ^ [1 ^ [initial_world]]), -(10 ^ [8 ^ [1 ^ [initial_world]], 1 ^ [initial_world]]), reachable(8 ^ [1 ^ [initial_world]], 8 ^ [1 ^ [initial_world]])],extension(1,bind([[_4241, _5539, _5555], [1 ^ [initial_world], 8 ^ [1 ^ [initial_world]], 8 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.1.2.1.1',plain,[10 ^ [8 ^ [1 ^ [initial_world]], 1 ^ [initial_world]], -(11 ^ [1 ^ [initial_world]]), reachable(1 ^ [1 ^ [initial_world]], 8 ^ [1 ^ [initial_world]])],extension(7,bind([[_4241, _5539], [1 ^ [initial_world], 8 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.1.2.1.1.1',plain,[11 ^ [1 ^ [initial_world]]],reduction('1.2')).
% 0.30/1.42 cnf('1.2.1.2.1.1.2',plain,[-(reachable(1 ^ [1 ^ [initial_world]], 8 ^ [1 ^ [initial_world]])), -(9 ^ [1 ^ [initial_world]])],extension(4,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.1.2.1.1.2.1',plain,[9 ^ [1 ^ [initial_world]]],reduction('1.2.1')).
% 0.30/1.42 cnf('1.2.1.2.1.2',plain,[-(reachable(8 ^ [1 ^ [initial_world]], 8 ^ [1 ^ [initial_world]]))],extension(18,bind([[_3604], [8 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.2',plain,[-(5 ^ [1 ^ [initial_world]]), -(p(2 ^ [1 ^ [initial_world]])), 4 ^ [1 ^ [initial_world]]],extension(13,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.2.1',plain,[p(2 ^ [1 ^ [initial_world]]), -(5 ^ [1 ^ [initial_world]]), reachable(1 ^ [1 ^ [initial_world]], 2 ^ [1 ^ [initial_world]])],extension(12,bind([[_4241, _5571], [1 ^ [initial_world], 2 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.2.1.1',plain,[5 ^ [1 ^ [initial_world]]],reduction('1.2')).
% 0.30/1.42 cnf('1.2.2.1.2',plain,[-(reachable(1 ^ [1 ^ [initial_world]], 2 ^ [1 ^ [initial_world]])), -(5 ^ [1 ^ [initial_world]])],extension(14,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.2.1.2.1',plain,[5 ^ [1 ^ [initial_world]]],lemmata('1.2.2.1')).
% 0.30/1.42 cnf('1.2.2.2',plain,[-(4 ^ [1 ^ [initial_world]]), -(q(3 ^ [1 ^ [initial_world]]))],extension(9,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.2.2.1',plain,[q(3 ^ [1 ^ [initial_world]]), -(5 ^ [1 ^ [initial_world]]), reachable(1 ^ [1 ^ [initial_world]], 3 ^ [1 ^ [initial_world]])],extension(11,bind([[_4241, _5584], [1 ^ [initial_world], 3 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.2.2.1.1',plain,[5 ^ [1 ^ [initial_world]]],reduction('1.2')).
% 0.30/1.42 cnf('1.2.2.2.1.2',plain,[-(reachable(1 ^ [1 ^ [initial_world]], 3 ^ [1 ^ [initial_world]])), reachable(1 ^ [1 ^ [initial_world]], 2 ^ [1 ^ [initial_world]]), reachable(2 ^ [1 ^ [initial_world]], 3 ^ [1 ^ [initial_world]])],extension(19,bind([[_3768, _3824, _3879], [1 ^ [1 ^ [initial_world]], 2 ^ [1 ^ [initial_world]], 3 ^ [1 ^ [initial_world]]]]))).
% 0.30/1.42 cnf('1.2.2.2.1.2.1',plain,[-(reachable(1 ^ [1 ^ [initial_world]], 2 ^ [1 ^ [initial_world]])), -(5 ^ [1 ^ [initial_world]])],extension(14,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.2.2.1.2.1.1',plain,[5 ^ [1 ^ [initial_world]]],lemmata('1.2.2.2.1')).
% 0.30/1.42 cnf('1.2.2.2.1.2.2',plain,[-(reachable(2 ^ [1 ^ [initial_world]], 3 ^ [1 ^ [initial_world]])), -(4 ^ [1 ^ [initial_world]])],extension(10,bind([[_4241], [1 ^ [initial_world]]]))).
% 0.30/1.42 cnf('1.2.2.2.1.2.2.1',plain,[4 ^ [1 ^ [initial_world]]],reduction('1.2.2')).
% 0.30/1.42 %-----------------------------------------------------
% 0.30/1.42
% 0.30/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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