TSTP Solution File: SYN317+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SYN317+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% 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  : 300s
% DateTime : Thu Sep 29 22:22:56 EDT 2022

% Result   : Theorem 0.12s 0.33s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN317+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.11  % Command    : goeland -dmt -presko -proof %s
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Sep  5 02:29:38 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.12/0.33  [DMT] DMT loaded with preskolemization
% 0.12/0.33  [EQ] equality loaded.
% 0.12/0.33  [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33  Start search
% 0.12/0.33  nb_step : 1 - limit : 2
% 0.12/0.33  Launch Gotab with destructive = true
% 0.12/0.33  % SZS output start Proof for theBenchmark.p
% 0.12/0.33  [0] BETA_NOT_EQUIV : ~(? [X2_2] :  ((big_f(X2_2) => big_g(X2_2))) <=> ? [X3_3, Y4_4] :  ((big_f(X3_3) => big_g(Y4_4))))
% 0.12/0.33  	-> [1] ~? [X2_2] :  ((big_f(X2_2) => big_g(X2_2))), ? [X3_3, Y4_4] :  ((big_f(X3_3) => big_g(Y4_4)))
% 0.12/0.33  	-> [2] ? [X2_2] :  ((big_f(X2_2) => big_g(X2_2))), ~? [X3_3, Y4_4] :  ((big_f(X3_3) => big_g(Y4_4)))
% 0.12/0.33  
% 0.12/0.33  [2] DELTA_EXISTS : ? [X2_2] :  ((big_f(X2_2) => big_g(X2_2)))
% 0.12/0.33  	-> [3] (big_f(skolem_X22) => big_g(skolem_X22))
% 0.12/0.33  
% 0.12/0.33  [3] BETA_IMPLY : (big_f(skolem_X22) => big_g(skolem_X22))
% 0.12/0.33  	-> [4] ~big_f(skolem_X22)
% 0.12/0.33  	-> [5] big_g(skolem_X22)
% 0.12/0.33  
% 0.12/0.33  [4] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  ((big_f(X3_3) => big_g(Y4_4)))
% 0.12/0.33  	-> [8] ~(big_f(X3_1_0) => big_g(Y4_1_0))
% 0.12/0.33  
% 0.12/0.33  [8] ALPHA_NOT_IMPLY : ~(big_f(X3_1_0) => big_g(Y4_1_0))
% 0.12/0.33  	-> [10] big_f(X3_1_0), ~big_g(Y4_1_0)
% 0.12/0.33  
% 0.12/0.33  [10] CLOSURE : big_f(X3_1_0)
% 0.12/0.33  
% 0.12/0.33  [5] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] :  ((big_f(X3_3) => big_g(Y4_4)))
% 0.12/0.33  	-> [6] ~(big_f(X3_0_0) => big_g(Y4_0_0))
% 0.12/0.33  
% 0.12/0.33  [6] ALPHA_NOT_IMPLY : ~(big_f(X3_0_0) => big_g(Y4_0_0))
% 0.12/0.33  	-> [7] big_f(X3_0_0), ~big_g(Y4_0_0)
% 0.12/0.33  
% 0.12/0.33  [7] CLOSURE : ~big_g(Y4_0_0)
% 0.12/0.33  
% 0.12/0.33  [1] DELTA_EXISTS : ? [X3_3, Y4_4] :  ((big_f(X3_3) => big_g(Y4_4)))
% 0.12/0.33  	-> [9] (big_f(skolem_X33) => big_g(skolem_Y44))
% 0.12/0.33  
% 0.12/0.33  [9] BETA_IMPLY : (big_f(skolem_X33) => big_g(skolem_Y44))
% 0.12/0.33  	-> [11] ~big_f(skolem_X33)
% 0.12/0.33  	-> [12] big_g(skolem_Y44)
% 0.12/0.33  
% 0.12/0.33  [11] GAMMA_NOT_EXISTS : ~? [X2_2] :  ((big_f(X2_2) => big_g(X2_2)))
% 0.12/0.33  	-> [13] ~(big_f(X2_0_0) => big_g(X2_0_0))
% 0.12/0.33  
% 0.12/0.33  [13] ALPHA_NOT_IMPLY : ~(big_f(X2_0_0) => big_g(X2_0_0))
% 0.12/0.33  	-> [15] big_f(X2_0_0), ~big_g(X2_0_0)
% 0.12/0.33  
% 0.12/0.33  [15] CLOSURE : big_f(X2_0_0)
% 0.12/0.33  
% 0.12/0.33  [12] GAMMA_NOT_EXISTS : ~? [X2_2] :  ((big_f(X2_2) => big_g(X2_2)))
% 0.12/0.33  	-> [14] ~(big_f(X2_1_0) => big_g(X2_1_0))
% 0.12/0.33  
% 0.12/0.33  [14] ALPHA_NOT_IMPLY : ~(big_f(X2_1_0) => big_g(X2_1_0))
% 0.12/0.33  	-> [16] big_f(X2_1_0), ~big_g(X2_1_0)
% 0.12/0.33  
% 0.12/0.33  [16] CLOSURE : ~big_g(X2_1_0)
% 0.12/0.33  
% 0.12/0.33  % SZS output end Proof for theBenchmark.p
% 0.12/0.33  [0.006860s][1][Res] 15 goroutines created
% 0.12/0.33  ==== Result ====
% 0.12/0.33  [0.006892s][1][Res] VALID
% 0.12/0.33  % SZS status Theorem for theBenchmark.p
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