%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n022.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 22:23:24 EDT 2022

% Result   : Theorem 0.10s 0.31s
% Output   : Proof 0.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN411+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.10  % Command    : goeland -dmt -presko -proof %s
% 0.10/0.30  % Computer : n022.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Sep  5 03:12:39 EDT 2022
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  [DMT] DMT loaded with preskolemization
% 0.10/0.30  [EQ] equality loaded.
% 0.10/0.30  [0.000032s][1][MAIN] Problem : theBenchmark.p
% 0.10/0.30  Start search
% 0.10/0.30  nb_step : 1 - limit : 2
% 0.10/0.30  Launch Gotab with destructive = true
% 0.10/0.31  % SZS output start Proof for theBenchmark.p
% 0.10/0.31  [0] BETA_NOT_EQUIV : ~(! [X6_6, Y7_7, Z8_8] :  (f(X6_6, Y7_7, Z8_8)) <=> ~? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11)))
% 0.10/0.31  	-> [1] ~! [X6_6, Y7_7, Z8_8] :  (f(X6_6, Y7_7, Z8_8)), ~? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11))
% 0.10/0.31  	-> [2] ! [X6_6, Y7_7, Z8_8] :  (f(X6_6, Y7_7, Z8_8)), ~~? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11))
% 0.10/0.31  
% 0.10/0.31  [1] DELTA_NOT_FORALL : ~! [X6_6, Y7_7, Z8_8] :  (f(X6_6, Y7_7, Z8_8))
% 0.10/0.31  	-> [3] ~f(skolem_X66, skolem_Y77, skolem_Z88)
% 0.10/0.31  
% 0.10/0.31  [3] GAMMA_NOT_EXISTS : ~? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11))
% 0.10/0.31  	-> [6] ~~f(U9_0_0, V10_0_0, W11_0_0)
% 0.10/0.31  
% 0.10/0.31  [6] ALPHA_NOT_NOT : ~~f(U9_0_0, V10_0_0, W11_0_0)
% 0.10/0.31  	-> [7] f(U9_0_0, V10_0_0, W11_0_0)
% 0.10/0.31  
% 0.10/0.31  [7] CLOSURE : f(U9_0_0, V10_0_0, W11_0_0)
% 0.10/0.31  
% 0.10/0.31  [2] ALPHA_NOT_NOT : ~~? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11))
% 0.10/0.31  	-> [4] ? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11))
% 0.10/0.31  
% 0.10/0.31  [4] DELTA_EXISTS : ? [U9_9, V10_10, W11_11] :  (~f(U9_9, V10_10, W11_11))
% 0.10/0.31  	-> [5] ~f(skolem_U99, skolem_V1010, skolem_W1111)
% 0.10/0.31  
% 0.10/0.31  [5] GAMMA_FORALL : ! [X6_6, Y7_7, Z8_8] :  (f(X6_6, Y7_7, Z8_8))
% 0.10/0.31  	-> [8] f(X6_0_0, Y7_0_0, Z8_0_0)
% 0.10/0.31  
% 0.10/0.31  [8] CLOSURE : f(X6_0_0, Y7_0_0, Z8_0_0)
% 0.10/0.31  
% 0.10/0.31  % SZS output end Proof for theBenchmark.p
% 0.10/0.31  [0.003968s][1][Res] 3 goroutines created
% 0.10/0.31  ==== Result ====
% 0.10/0.31  [0.003999s][1][Res] VALID
% 0.10/0.31  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------