TSTP Solution File: SEV515+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.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 : Tue Jul 19 17:34:14 EDT 2022

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n006.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 : Tue Jun 28 12:12:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.33/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.40  
% 0.33/1.40  %-----------------------------------------------------
% 0.33/1.40  fof(nc1, conjecture, ! [_29053] : ? [_29061] : (g_true_only(_29061, _29053) & (g_both(_29061, _29061) | g_true_only(_29061, _29061)) | g_both(_29061, _29053) & (g_false_only(_29061, _29061) | g_true_only(_29061, _29061)) | g_false_only(_29061, _29053) & (g_false_only(_29061, _29061) | g_both(_29061, _29061))) | ? [_29053] : (? [_29061] : (g_both(_29061, _29053) & g_both(_29061, _29061)) & ~ ? [_29061] : (g_true_only(_29061, _29053) & (g_both(_29061, _29061) | g_true_only(_29061, _29061)) | g_both(_29061, _29053) & (g_false_only(_29061, _29061) | g_true_only(_29061, _29061)) | g_false_only(_29061, _29053) & (g_false_only(_29061, _29061) | g_both(_29061, _29061)))) & ~ ? [_29053] : ! [_29061] : (g_true_only(_29061, _29053) & g_false_only(_29061, _29061) | g_false_only(_29061, _29053) & g_true_only(_29061, _29061)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', nc1)).
% 0.33/1.40  fof(exhaustion_g, axiom, ! [_30188, _30191] : (g_true_only(_30188, _30191) | g_both(_30188, _30191) | g_false_only(_30188, _30191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exhaustion_g)).
% 0.33/1.40  
% 0.33/1.40  cnf(1, plain, [-(11 ^ [_9909]), -(g_true_only(_9909, _9909))], clausify(nc1)).
% 0.33/1.40  cnf(2, plain, [-(10 ^ [_9909]), -(g_false_only(_9909, _9909))], clausify(nc1)).
% 0.33/1.40  cnf(3, plain, [-(8 ^ [_7275]), -(g_false_only(5 ^ [_7275], 5 ^ [_7275])), -(g_both(5 ^ [_7275], 5 ^ [_7275]))], clausify(nc1)).
% 0.33/1.40  cnf(4, plain, [-(8 ^ [_7275]), -(g_false_only(5 ^ [_7275], _7275))], clausify(nc1)).
% 0.33/1.40  cnf(5, plain, [-(7 ^ [_7275]), -(g_false_only(5 ^ [_7275], 5 ^ [_7275])), -(g_true_only(5 ^ [_7275], 5 ^ [_7275]))], clausify(nc1)).
% 0.33/1.40  cnf(6, plain, [-(7 ^ [_7275]), -(g_both(5 ^ [_7275], _7275))], clausify(nc1)).
% 0.33/1.40  cnf(7, plain, [-(6 ^ [_7275]), -(g_both(5 ^ [_7275], 5 ^ [_7275])), -(g_true_only(5 ^ [_7275], 5 ^ [_7275]))], clausify(nc1)).
% 0.33/1.40  cnf(8, plain, [-(6 ^ [_7275]), -(g_true_only(5 ^ [_7275], _7275))], clausify(nc1)).
% 0.33/1.40  cnf(9, plain, [-(4 ^ [_9495]), g_both(_9495, _9495)], clausify(nc1)).
% 0.33/1.40  cnf(10, plain, [-(4 ^ [_9495]), g_false_only(_9495, _9495)], clausify(nc1)).
% 0.33/1.40  cnf(11, plain, [-(3 ^ [_9495]), g_true_only(_9495, _9495)], clausify(nc1)).
% 0.33/1.40  cnf(12, plain, [-(3 ^ [_9495]), g_false_only(_9495, _9495)], clausify(nc1)).
% 0.33/1.40  cnf(13, plain, [-(2 ^ [_9495]), g_true_only(_9495, _9495)], clausify(nc1)).
% 0.33/1.40  cnf(14, plain, [-(2 ^ [_9495]), g_both(_9495, _9495)], clausify(nc1)).
% 0.33/1.40  cnf(15, plain, [g_true_only(_9495, 1 ^ []), 2 ^ [_9495]], clausify(nc1)).
% 0.33/1.40  cnf(16, plain, [g_both(_9495, 1 ^ []), 3 ^ [_9495]], clausify(nc1)).
% 0.33/1.40  cnf(17, plain, [g_false_only(_9495, 1 ^ []), 4 ^ [_9495]], clausify(nc1)).
% 0.33/1.40  cnf(18, plain, [11 ^ [_9909], 10 ^ [_9909], g_both(_7392, _7392), g_both(_7392, _7275), 6 ^ [_7275], 7 ^ [_7275], 8 ^ [_7275]], clausify(nc1)).
% 0.33/1.40  cnf(19, plain, [-(g_true_only(_5994, _6045)), -(g_both(_5994, _6045)), -(g_false_only(_5994, _6045))], clausify(exhaustion_g)).
% 0.33/1.40  
% 0.33/1.40  cnf('1',plain,[11 ^ [1 ^ []], 10 ^ [1 ^ []], g_both(1 ^ [], 1 ^ []), g_both(1 ^ [], 1 ^ []), 6 ^ [1 ^ []], 7 ^ [1 ^ []], 8 ^ [1 ^ []]],start(18,bind([[_9909, _7392, _7275], [1 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.33/1.40  cnf('1.1',plain,[-(11 ^ [1 ^ []]), -(g_true_only(1 ^ [], 1 ^ []))],extension(1,bind([[_9909], [1 ^ []]]))).
% 0.33/1.40  cnf('1.1.1',plain,[g_true_only(1 ^ [], 1 ^ []), -(2 ^ [1 ^ []])],extension(13,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.1.1.1',plain,[2 ^ [1 ^ []], g_true_only(1 ^ [], 1 ^ [])],extension(15,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.1.1.1.1',plain,[-(g_true_only(1 ^ [], 1 ^ []))],reduction('1.1')).
% 0.33/1.40  cnf('1.2',plain,[-(10 ^ [1 ^ []]), -(g_false_only(1 ^ [], 1 ^ []))],extension(2,bind([[_9909], [1 ^ []]]))).
% 0.33/1.40  cnf('1.2.1',plain,[g_false_only(1 ^ [], 1 ^ []), -(4 ^ [1 ^ []])],extension(10,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.2.1.1',plain,[4 ^ [1 ^ []], g_false_only(1 ^ [], 1 ^ [])],extension(17,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.2.1.1.1',plain,[-(g_false_only(1 ^ [], 1 ^ []))],reduction('1.2')).
% 0.33/1.40  cnf('1.3',plain,[-(g_both(1 ^ [], 1 ^ [])), -(g_true_only(1 ^ [], 1 ^ [])), -(g_false_only(1 ^ [], 1 ^ []))],extension(19,bind([[_5994, _6045], [1 ^ [], 1 ^ []]]))).
% 0.33/1.40  cnf('1.3.1',plain,[g_true_only(1 ^ [], 1 ^ []), -(2 ^ [1 ^ []])],extension(13,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.3.1.1',plain,[2 ^ [1 ^ []], g_true_only(1 ^ [], 1 ^ [])],extension(15,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.3.1.1.1',plain,[-(g_true_only(1 ^ [], 1 ^ []))],reduction('1.3')).
% 0.33/1.40  cnf('1.3.2',plain,[g_false_only(1 ^ [], 1 ^ []), -(4 ^ [1 ^ []])],extension(10,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.3.2.1',plain,[4 ^ [1 ^ []], g_false_only(1 ^ [], 1 ^ [])],extension(17,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.3.2.1.1',plain,[-(g_false_only(1 ^ [], 1 ^ []))],reduction('1.3')).
% 0.33/1.40  cnf('1.4',plain,[-(g_both(1 ^ [], 1 ^ [])), -(g_true_only(1 ^ [], 1 ^ [])), -(g_false_only(1 ^ [], 1 ^ []))],extension(19,bind([[_5994, _6045], [1 ^ [], 1 ^ []]]))).
% 0.33/1.40  cnf('1.4.1',plain,[g_true_only(1 ^ [], 1 ^ []), -(2 ^ [1 ^ []])],extension(13,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.4.1.1',plain,[2 ^ [1 ^ []], g_true_only(1 ^ [], 1 ^ [])],extension(15,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.4.1.1.1',plain,[-(g_true_only(1 ^ [], 1 ^ []))],reduction('1.4')).
% 0.33/1.40  cnf('1.4.2',plain,[g_false_only(1 ^ [], 1 ^ []), -(4 ^ [1 ^ []])],extension(10,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.4.2.1',plain,[4 ^ [1 ^ []], g_false_only(1 ^ [], 1 ^ [])],extension(17,bind([[_9495], [1 ^ []]]))).
% 0.33/1.40  cnf('1.4.2.1.1',plain,[-(g_false_only(1 ^ [], 1 ^ []))],reduction('1.4')).
% 0.33/1.40  cnf('1.5',plain,[-(6 ^ [1 ^ []]), -(g_both(5 ^ [1 ^ []], 5 ^ [1 ^ []])), -(g_true_only(5 ^ [1 ^ []], 5 ^ [1 ^ []]))],extension(7,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.5.1',plain,[g_both(5 ^ [1 ^ []], 5 ^ [1 ^ []]), -(2 ^ [5 ^ [1 ^ []]])],extension(14,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.5.1.1',plain,[2 ^ [5 ^ [1 ^ []]], g_true_only(5 ^ [1 ^ []], 1 ^ [])],extension(15,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.5.1.1.1',plain,[-(g_true_only(5 ^ [1 ^ []], 1 ^ [])), -(6 ^ [1 ^ []])],extension(8,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.5.1.1.1.1',plain,[6 ^ [1 ^ []]],reduction('1')).
% 0.33/1.40  cnf('1.5.2',plain,[g_true_only(5 ^ [1 ^ []], 5 ^ [1 ^ []]), -(2 ^ [5 ^ [1 ^ []]])],extension(13,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.5.2.1',plain,[2 ^ [5 ^ [1 ^ []]], g_true_only(5 ^ [1 ^ []], 1 ^ [])],extension(15,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.5.2.1.1',plain,[-(g_true_only(5 ^ [1 ^ []], 1 ^ [])), -(6 ^ [1 ^ []])],extension(8,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.5.2.1.1.1',plain,[6 ^ [1 ^ []]],reduction('1')).
% 0.33/1.40  cnf('1.6',plain,[-(7 ^ [1 ^ []]), -(g_false_only(5 ^ [1 ^ []], 5 ^ [1 ^ []])), -(g_true_only(5 ^ [1 ^ []], 5 ^ [1 ^ []]))],extension(5,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.6.1',plain,[g_false_only(5 ^ [1 ^ []], 5 ^ [1 ^ []]), -(3 ^ [5 ^ [1 ^ []]])],extension(12,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.6.1.1',plain,[3 ^ [5 ^ [1 ^ []]], g_both(5 ^ [1 ^ []], 1 ^ [])],extension(16,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.6.1.1.1',plain,[-(g_both(5 ^ [1 ^ []], 1 ^ [])), -(7 ^ [1 ^ []])],extension(6,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.6.1.1.1.1',plain,[7 ^ [1 ^ []]],reduction('1')).
% 0.33/1.40  cnf('1.6.2',plain,[g_true_only(5 ^ [1 ^ []], 5 ^ [1 ^ []]), -(3 ^ [5 ^ [1 ^ []]])],extension(11,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.6.2.1',plain,[3 ^ [5 ^ [1 ^ []]], g_both(5 ^ [1 ^ []], 1 ^ [])],extension(16,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.6.2.1.1',plain,[-(g_both(5 ^ [1 ^ []], 1 ^ [])), -(7 ^ [1 ^ []])],extension(6,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.6.2.1.1.1',plain,[7 ^ [1 ^ []]],reduction('1')).
% 0.33/1.40  cnf('1.7',plain,[-(8 ^ [1 ^ []]), -(g_false_only(5 ^ [1 ^ []], 5 ^ [1 ^ []])), -(g_both(5 ^ [1 ^ []], 5 ^ [1 ^ []]))],extension(3,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.7.1',plain,[g_false_only(5 ^ [1 ^ []], 5 ^ [1 ^ []]), -(4 ^ [5 ^ [1 ^ []]])],extension(10,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.7.1.1',plain,[4 ^ [5 ^ [1 ^ []]], g_false_only(5 ^ [1 ^ []], 1 ^ [])],extension(17,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.7.1.1.1',plain,[-(g_false_only(5 ^ [1 ^ []], 1 ^ [])), -(8 ^ [1 ^ []])],extension(4,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.7.1.1.1.1',plain,[8 ^ [1 ^ []]],reduction('1')).
% 0.33/1.40  cnf('1.7.2',plain,[g_both(5 ^ [1 ^ []], 5 ^ [1 ^ []]), -(4 ^ [5 ^ [1 ^ []]])],extension(9,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.7.2.1',plain,[4 ^ [5 ^ [1 ^ []]], g_false_only(5 ^ [1 ^ []], 1 ^ [])],extension(17,bind([[_9495], [5 ^ [1 ^ []]]]))).
% 0.33/1.40  cnf('1.7.2.1.1',plain,[-(g_false_only(5 ^ [1 ^ []], 1 ^ [])), -(8 ^ [1 ^ []])],extension(4,bind([[_7275], [1 ^ []]]))).
% 0.33/1.40  cnf('1.7.2.1.1.1',plain,[8 ^ [1 ^ []]],reduction('1')).
% 0.33/1.40  %-----------------------------------------------------
% 0.33/1.41  
% 0.33/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------