TSTP Solution File: LCL666+1.001 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n025.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  : 300s
% DateTime : Sun Sep 18 03:43:36 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command    : goeland -dmt -presko -proof %s
% 0.12/0.33  % Computer : n025.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Sep  1 23:46:16 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  [DMT] DMT loaded with preskolemization
% 0.12/0.34  [EQ] equality loaded.
% 0.12/0.34  [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34  Start search
% 0.12/0.34  nb_step : 1 - limit : 3
% 0.12/0.34  Launch Gotab with destructive = true
% 0.12/0.36  % SZS output start Proof for theBenchmark.p
% 0.12/0.36  [0] ALPHA_AND : (! [X2_2] :  (r1(X2_2, X2_2)) & ~~? [X3_3] :  (~(~! [Y4_4] :  ((~r1(X3_3, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(X3_3) & p101(X3_3)))))
% 0.12/0.36  	-> [1] ! [X2_2] :  (r1(X2_2, X2_2)), ~~? [X3_3] :  (~(~! [Y4_4] :  ((~r1(X3_3, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(X3_3) & p101(X3_3))))
% 0.12/0.36  
% 0.12/0.36  [1] ALPHA_NOT_NOT : ~~? [X3_3] :  (~(~! [Y4_4] :  ((~r1(X3_3, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(X3_3) & p101(X3_3))))
% 0.12/0.36  	-> [2] ? [X3_3] :  (~(~! [Y4_4] :  ((~r1(X3_3, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(X3_3) & p101(X3_3))))
% 0.12/0.36  
% 0.12/0.36  [2] DELTA_EXISTS : ? [X3_3] :  (~(~! [Y4_4] :  ((~r1(X3_3, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(X3_3) & p101(X3_3))))
% 0.12/0.36  	-> [3] ~(~! [Y4_4] :  ((~r1(skolem_X33, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(skolem_X33) & p101(skolem_X33)))
% 0.12/0.36  
% 0.12/0.36  [3] ALPHA_NOT_OR : ~(~! [Y4_4] :  ((~r1(skolem_X33, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))) | ~(p201(skolem_X33) & p101(skolem_X33)))
% 0.12/0.36  	-> [4] ~~! [Y4_4] :  ((~r1(skolem_X33, Y4_4) | ~(p201(Y4_4) & p101(Y4_4)))), ~~(p201(skolem_X33) & p101(skolem_X33))
% 0.12/0.36  
% 0.12/0.36  [4] ALPHA_NOT_NOT : ~~! [Y4_4] :  ((~r1(skolem_X33, Y4_4) | ~(p201(Y4_4) & p101(Y4_4))))
% 0.12/0.36  	-> [5] ! [Y4_4] :  ((~r1(skolem_X33, Y4_4) | ~(p201(Y4_4) & p101(Y4_4))))
% 0.12/0.36  
% 0.12/0.36  [5] ALPHA_NOT_NOT : ~~(p201(skolem_X33) & p101(skolem_X33))
% 0.12/0.36  	-> [6] (p201(skolem_X33) & p101(skolem_X33))
% 0.12/0.36  
% 0.12/0.36  [6] ALPHA_AND : (p201(skolem_X33) & p101(skolem_X33))
% 0.12/0.36  	-> [7] p201(skolem_X33), p101(skolem_X33)
% 0.12/0.36  
% 0.12/0.36  [7] GAMMA_FORALL : ! [X2_2] :  (r1(X2_2, X2_2))
% 0.12/0.36  	-> [8] r1(skolem_X33, skolem_X33)
% 0.12/0.36  
% 0.12/0.36  [8] GAMMA_FORALL : ! [Y4_4] :  ((~r1(skolem_X33, Y4_4) | ~(p201(Y4_4) & p101(Y4_4))))
% 0.12/0.36  	-> [9] (~r1(skolem_X33, skolem_X33) | ~(p201(skolem_X33) & p101(skolem_X33)))
% 0.12/0.36  
% 0.12/0.36  [9] BETA_OR : (~r1(skolem_X33, skolem_X33) | ~(p201(skolem_X33) & p101(skolem_X33)))
% 0.12/0.36  	-> [10] ~r1(skolem_X33, skolem_X33)
% 0.12/0.36  	-> [11] ~(p201(skolem_X33) & p101(skolem_X33))
% 0.12/0.36  
% 0.12/0.36  [10] CLOSURE : ~r1(skolem_X33, skolem_X33)
% 0.12/0.36  
% 0.12/0.36  [11] BETA_NOT_AND : ~(p201(skolem_X33) & p101(skolem_X33))
% 0.12/0.36  	-> [14] ~p201(skolem_X33)
% 0.12/0.36  	-> [15] ~p101(skolem_X33)
% 0.12/0.36  
% 0.12/0.36  [15] CLOSURE : ~p101(skolem_X33)
% 0.12/0.36  
% 0.12/0.36  [14] CLOSURE : ~p201(skolem_X33)
% 0.12/0.36  
% 0.12/0.36  % SZS output end Proof for theBenchmark.p
% 0.12/0.36  [0.015723s][1][Res] 42 goroutines created
% 0.12/0.36  ==== Result ====
% 0.12/0.36  [0.015755s][1][Res] VALID
% 0.12/0.36  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------