%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : SYN986+1.000 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n018.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 22:25:13 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN986+1.000 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command    : goeland -dmt -presko -proof %s
% 0.12/0.33  % Computer : n018.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    : 300
% 0.12/0.33  % DateTime   : Mon Sep  5 09:55:01 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  [DMT] DMT loaded with preskolemization
% 0.12/0.34  [EQ] equality loaded.
% 0.12/0.34  [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34  Conjecture not found
% 0.12/0.34  Start search
% 0.12/0.34  nb_step : 1 - limit : 3
% 0.12/0.34  Launch Gotab with destructive = true
% 0.12/0.34  % SZS output start Proof for theBenchmark.p
% 0.12/0.34  [0] ALPHA_AND : ((! [Y5_5] :  (r(Y5_5, zero, succ(Y5_5))) & ! [Y6_6, X7_7, Z8_8, Z19_9] :  ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))) & ~? [Z010_10] :  (r(zero, zero, Z010_10)))
% 0.12/0.34  	-> [1] (! [Y5_5] :  (r(Y5_5, zero, succ(Y5_5))) & ! [Y6_6, X7_7, Z8_8, Z19_9] :  ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))), ~? [Z010_10] :  (r(zero, zero, Z010_10))
% 0.12/0.34  
% 0.12/0.34  [1] ALPHA_AND : (! [Y5_5] :  (r(Y5_5, zero, succ(Y5_5))) & ! [Y6_6, X7_7, Z8_8, Z19_9] :  ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9)))))
% 0.12/0.34  	-> [2] ! [Y5_5] :  (r(Y5_5, zero, succ(Y5_5))), ! [Y6_6, X7_7, Z8_8, Z19_9] :  ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))
% 0.12/0.34  
% 0.12/0.34  [2] GAMMA_NOT_EXISTS : ~? [Z010_10] :  (r(zero, zero, Z010_10))
% 0.12/0.34  	-> [3] ~r(zero, zero, Z010_0_0)
% 0.12/0.34  
% 0.12/0.34  [3] GAMMA_FORALL : ! [Y5_5] :  (r(Y5_5, zero, succ(Y5_5)))
% 0.12/0.34  	-> [4] r(Y5_0_1, zero, succ(Y5_0_1))
% 0.12/0.34  
% 0.12/0.34  [4] CLOSURE : r(Y5_0_1, zero, succ(Y5_0_1))
% 0.12/0.34  
% 0.12/0.34  % SZS output end Proof for theBenchmark.p
% 0.12/0.34  [0.005872s][1][Res] 1 goroutines created
% 0.12/0.34  ==== Result ====
% 0.12/0.34  [0.005904s][1][Res] VALID
% 0.12/0.34  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------