TSTP Solution File: SYO607+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 17:29:47 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n020.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 : Fri Jul 8 19:58:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(nc6, conjecture, ? [_30185] : (g_false_only(a, _30185) & ? [_30203] : g_false_only(_30185, _30203)) | ? [_30185] : ! [_30203] : g_true_only(_30185, _30203) | ? [_30185] : ((g_both(a, _30185) | ? [_30203] : g_both(_30185, _30203) & ~ ? [_30203] : g_false_only(_30185, _30203)) & ~ g_true_only(a, _30185) & ~ ! [_30203] : g_true_only(_30185, _30203)) & ~ ? [_30185] : (g_false_only(a, _30185) & ? [_30203] : g_false_only(_30185, _30203)) & ? [_30185] : (? [_30203] : g_both(_30185, _30203) & ~ ? [_30203] : g_false_only(_30185, _30203)) & ~ ? [_30185] : ! [_30203] : g_true_only(_30185, _30203), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', nc6)).
% 0.32/1.41 fof(exhaustion_g, axiom, ! [_31149, _31152] : (g_true_only(_31149, _31152) | g_both(_31149, _31152) | g_false_only(_31149, _31152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exhaustion_g)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(6 ^ []), -(g_false_only(4 ^ [], 5 ^ []))], clausify(nc6)).
% 0.32/1.41 cnf(2, plain, [-(6 ^ []), -(g_false_only(a, 4 ^ []))], clausify(nc6)).
% 0.32/1.41 cnf(3, plain, [-(3 ^ [_6775]), g_both(_6775, _6934), -(g_false_only(_6775, 2 ^ [_6775]))], clausify(nc6)).
% 0.32/1.41 cnf(4, plain, [-(3 ^ [_6775]), g_both(a, _6775)], clausify(nc6)).
% 0.32/1.41 cnf(5, plain, [g_false_only(a, _6392), g_false_only(_6392, _6497)], clausify(nc6)).
% 0.32/1.41 cnf(6, plain, [g_true_only(_6624, 1 ^ [_6624])], clausify(nc6)).
% 0.32/1.41 cnf(7, plain, [-(g_true_only(_6775, _7252)), -(g_true_only(a, _6775)), 3 ^ [_6775], 6 ^ [], -(g_true_only(8 ^ [], _9177)), g_both(_7650, _7713), -(g_false_only(_7650, 7 ^ [_7650]))], clausify(nc6)).
% 0.32/1.41 cnf(8, plain, [-(g_true_only(_5950, _6001)), -(g_both(_5950, _6001)), -(g_false_only(_5950, _6001))], clausify(exhaustion_g)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[g_false_only(a, 7 ^ [a]), g_false_only(7 ^ [a], 7 ^ [7 ^ [a]])],start(5,bind([[_6392, _6497], [7 ^ [a], 7 ^ [7 ^ [a]]]]))).
% 0.32/1.41 cnf('1.1',plain,[-(g_false_only(a, 7 ^ [a])), -(g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_true_only(a, 1 ^ [a])), 3 ^ [1 ^ [a]], 6 ^ [], -(g_true_only(8 ^ [], 1 ^ [8 ^ []])), g_both(a, 1 ^ [a])],extension(7,bind([[_7252, _6775, _9177, _7650, _7713], [1 ^ [1 ^ [a]], 1 ^ [a], 1 ^ [8 ^ []], a, 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.1',plain,[g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])],extension(6,bind([[_6624], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.2',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.1.3',plain,[-(3 ^ [1 ^ [a]]), g_both(1 ^ [a], 1 ^ [1 ^ [a]]), -(g_false_only(1 ^ [a], 2 ^ [1 ^ [a]]))],extension(3,bind([[_6934, _6775], [1 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.1',plain,[-(g_both(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_false_only(1 ^ [a], 1 ^ [1 ^ [a]]))],extension(8,bind([[_5950, _6001], [1 ^ [a], 1 ^ [1 ^ [a]]]]))).
% 0.32/1.41 cnf('1.1.3.1.1',plain,[g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])],extension(6,bind([[_6624], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.1.2',plain,[g_false_only(1 ^ [a], 1 ^ [1 ^ [a]]), g_false_only(a, 1 ^ [a])],extension(5,bind([[_6497, _6392], [1 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.1.2.1',plain,[-(g_false_only(a, 1 ^ [a])), -(g_true_only(a, 1 ^ [a])), -(g_both(a, 1 ^ [a]))],extension(8,bind([[_5950, _6001], [a, 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.1.2.1.1',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.1.3.1.2.1.2',plain,[g_both(a, 1 ^ [a]), -(3 ^ [1 ^ [a]])],extension(4,bind([[_6775], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.1.2.1.2.1',plain,[3 ^ [1 ^ [a]]],reduction('1.1')).
% 0.32/1.41 cnf('1.1.3.2',plain,[g_false_only(1 ^ [a], 2 ^ [1 ^ [a]]), g_false_only(a, 1 ^ [a])],extension(5,bind([[_6497, _6392], [2 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.2.1',plain,[-(g_false_only(a, 1 ^ [a])), -(g_true_only(a, 1 ^ [a])), -(g_both(a, 1 ^ [a]))],extension(8,bind([[_5950, _6001], [a, 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.2.1.1',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.1.3.2.1.2',plain,[g_both(a, 1 ^ [a]), -(3 ^ [1 ^ [a]])],extension(4,bind([[_6775], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.3.2.1.2.1',plain,[3 ^ [1 ^ [a]]],reduction('1.1')).
% 0.32/1.41 cnf('1.1.4',plain,[-(6 ^ []), -(g_false_only(4 ^ [], 5 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.4.1',plain,[g_false_only(4 ^ [], 5 ^ []), g_false_only(a, 4 ^ [])],extension(5,bind([[_6497, _6392], [5 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.4.1.1',plain,[-(g_false_only(a, 4 ^ [])), -(6 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.1.4.1.1.1',plain,[6 ^ []],reduction('1.1')).
% 0.32/1.41 cnf('1.1.5',plain,[g_true_only(8 ^ [], 1 ^ [8 ^ []])],extension(6,bind([[_6624], [8 ^ []]]))).
% 0.32/1.41 cnf('1.1.6',plain,[-(g_both(a, 1 ^ [a])), -(g_true_only(a, 1 ^ [a])), -(g_false_only(a, 1 ^ [a]))],extension(8,bind([[_5950, _6001], [a, 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.6.1',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.1.6.2',plain,[g_false_only(a, 1 ^ [a]), g_false_only(1 ^ [a], 7 ^ [1 ^ [a]])],extension(5,bind([[_6392, _6497], [1 ^ [a], 7 ^ [1 ^ [a]]]]))).
% 0.32/1.41 cnf('1.1.6.2.1',plain,[-(g_false_only(1 ^ [a], 7 ^ [1 ^ [a]])), -(g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_true_only(a, 1 ^ [a])), 3 ^ [1 ^ [a]], 6 ^ [], -(g_true_only(8 ^ [], 1 ^ [8 ^ []])), g_both(1 ^ [a], 1 ^ [1 ^ [a]])],extension(7,bind([[_7252, _6775, _9177, _7650, _7713], [1 ^ [1 ^ [a]], 1 ^ [a], 1 ^ [8 ^ []], 1 ^ [a], 1 ^ [1 ^ [a]]]]))).
% 0.32/1.41 cnf('1.1.6.2.1.1',plain,[g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])],extension(6,bind([[_6624], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.6.2.1.2',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.1.6.2.1.3',plain,[-(3 ^ [1 ^ [a]])],lemmata('1.1')).
% 0.32/1.41 cnf('1.1.6.2.1.4',plain,[-(6 ^ [])],lemmata('1.1')).
% 0.32/1.41 cnf('1.1.6.2.1.5',plain,[g_true_only(8 ^ [], 1 ^ [8 ^ []])],extension(6,bind([[_6624], [8 ^ []]]))).
% 0.32/1.41 cnf('1.1.6.2.1.6',plain,[-(g_both(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_false_only(1 ^ [a], 1 ^ [1 ^ [a]]))],extension(8,bind([[_5950, _6001], [1 ^ [a], 1 ^ [1 ^ [a]]]]))).
% 0.32/1.41 cnf('1.1.6.2.1.6.1',plain,[g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])],extension(6,bind([[_6624], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.6.2.1.6.2',plain,[g_false_only(1 ^ [a], 1 ^ [1 ^ [a]]), g_false_only(a, 1 ^ [a])],extension(5,bind([[_6497, _6392], [1 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.1.6.2.1.6.2.1',plain,[-(g_false_only(a, 1 ^ [a]))],reduction('1.1.6')).
% 0.32/1.41 cnf('1.2',plain,[-(g_false_only(7 ^ [a], 7 ^ [7 ^ [a]])), -(g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_true_only(a, 1 ^ [a])), 3 ^ [1 ^ [a]], 6 ^ [], -(g_true_only(8 ^ [], 1 ^ [8 ^ []])), g_both(7 ^ [a], 1 ^ [7 ^ [a]])],extension(7,bind([[_7252, _6775, _9177, _7650, _7713], [1 ^ [1 ^ [a]], 1 ^ [a], 1 ^ [8 ^ []], 7 ^ [a], 1 ^ [7 ^ [a]]]]))).
% 0.32/1.41 cnf('1.2.1',plain,[g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])],extension(6,bind([[_6624], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.2',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.2.3',plain,[-(3 ^ [1 ^ [a]]), g_both(1 ^ [a], 1 ^ [1 ^ [a]]), -(g_false_only(1 ^ [a], 2 ^ [1 ^ [a]]))],extension(3,bind([[_6934, _6775], [1 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.1',plain,[-(g_both(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])), -(g_false_only(1 ^ [a], 1 ^ [1 ^ [a]]))],extension(8,bind([[_5950, _6001], [1 ^ [a], 1 ^ [1 ^ [a]]]]))).
% 0.32/1.41 cnf('1.2.3.1.1',plain,[g_true_only(1 ^ [a], 1 ^ [1 ^ [a]])],extension(6,bind([[_6624], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.1.2',plain,[g_false_only(1 ^ [a], 1 ^ [1 ^ [a]]), g_false_only(a, 1 ^ [a])],extension(5,bind([[_6497, _6392], [1 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.1.2.1',plain,[-(g_false_only(a, 1 ^ [a])), -(g_true_only(a, 1 ^ [a])), -(g_both(a, 1 ^ [a]))],extension(8,bind([[_5950, _6001], [a, 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.1.2.1.1',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.2.3.1.2.1.2',plain,[g_both(a, 1 ^ [a]), -(3 ^ [1 ^ [a]])],extension(4,bind([[_6775], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.1.2.1.2.1',plain,[3 ^ [1 ^ [a]]],reduction('1.2')).
% 0.32/1.41 cnf('1.2.3.2',plain,[g_false_only(1 ^ [a], 2 ^ [1 ^ [a]]), g_false_only(a, 1 ^ [a])],extension(5,bind([[_6497, _6392], [2 ^ [1 ^ [a]], 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.2.1',plain,[-(g_false_only(a, 1 ^ [a])), -(g_true_only(a, 1 ^ [a])), -(g_both(a, 1 ^ [a]))],extension(8,bind([[_5950, _6001], [a, 1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.2.1.1',plain,[g_true_only(a, 1 ^ [a])],extension(6,bind([[_6624], [a]]))).
% 0.32/1.41 cnf('1.2.3.2.1.2',plain,[g_both(a, 1 ^ [a]), -(3 ^ [1 ^ [a]])],extension(4,bind([[_6775], [1 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.3.2.1.2.1',plain,[3 ^ [1 ^ [a]]],reduction('1.2')).
% 0.32/1.41 cnf('1.2.4',plain,[-(6 ^ []), -(g_false_only(4 ^ [], 5 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.2.4.1',plain,[g_false_only(4 ^ [], 5 ^ []), g_false_only(a, 4 ^ [])],extension(5,bind([[_6497, _6392], [5 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.2.4.1.1',plain,[-(g_false_only(a, 4 ^ [])), -(6 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.2.4.1.1.1',plain,[6 ^ []],reduction('1.2')).
% 0.32/1.41 cnf('1.2.5',plain,[g_true_only(8 ^ [], 1 ^ [8 ^ []])],extension(6,bind([[_6624], [8 ^ []]]))).
% 0.32/1.41 cnf('1.2.6',plain,[-(g_both(7 ^ [a], 1 ^ [7 ^ [a]])), -(g_true_only(7 ^ [a], 1 ^ [7 ^ [a]])), -(g_false_only(7 ^ [a], 1 ^ [7 ^ [a]]))],extension(8,bind([[_5950, _6001], [7 ^ [a], 1 ^ [7 ^ [a]]]]))).
% 0.32/1.41 cnf('1.2.6.1',plain,[g_true_only(7 ^ [a], 1 ^ [7 ^ [a]])],extension(6,bind([[_6624], [7 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.6.2',plain,[g_false_only(7 ^ [a], 1 ^ [7 ^ [a]]), g_false_only(a, 7 ^ [a])],extension(5,bind([[_6497, _6392], [1 ^ [7 ^ [a]], 7 ^ [a]]]))).
% 0.32/1.41 cnf('1.2.6.2.1',plain,[-(g_false_only(a, 7 ^ [a]))],lemmata('1')).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------