TSTP Solution File: SYN047+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n027.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 22:22:09 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 01:34:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 0
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.36 % SZS output start Proof for theBenchmark.p
% 0.13/0.36 [0] BETA_NOT_EQUIV : ~(((p & (q => r)) => s) <=> (((~p | q) | s) & ((~p | ~r) | s)))
% 0.13/0.36 -> [1] ~((p & (q => r)) => s), (((~p | q) | s) & ((~p | ~r) | s))
% 0.13/0.36 -> [2] ((p & (q => r)) => s), ~(((~p | q) | s) & ((~p | ~r) | s))
% 0.13/0.36
% 0.13/0.36 [1] ALPHA_NOT_IMPLY : ~((p & (q => r)) => s)
% 0.13/0.36 -> [5] (p & (q => r)), ~s
% 0.13/0.36
% 0.13/0.36 [5] ALPHA_AND : (((~p | q) | s) & ((~p | ~r) | s))
% 0.13/0.36 -> [8] ((~p | q) | s), ((~p | ~r) | s)
% 0.13/0.36
% 0.13/0.36 [8] ALPHA_AND : (p & (q => r))
% 0.13/0.36 -> [10] p, (q => r)
% 0.13/0.36
% 0.13/0.36 [10] BETA_OR : ((~p | q) | s)
% 0.13/0.36 -> [14] (~p | q)
% 0.13/0.36 -> [15] s
% 0.13/0.36
% 0.13/0.36 [15] CLOSURE : s
% 0.13/0.36
% 0.13/0.36 [14] BETA_OR : ((~p | ~r) | s)
% 0.13/0.36 -> [23] (~p | ~r)
% 0.13/0.36 -> [24] s
% 0.13/0.36
% 0.13/0.36 [24] CLOSURE : s
% 0.13/0.36
% 0.13/0.36 [23] BETA_IMPLY : (q => r)
% 0.13/0.36 -> [25] ~q
% 0.13/0.36 -> [26] r
% 0.13/0.36
% 0.13/0.36 [25] BETA_OR : (~p | q)
% 0.13/0.36 -> [27] ~p
% 0.13/0.36 -> [28] q
% 0.13/0.36
% 0.13/0.36 [27] CLOSURE : ~p
% 0.13/0.36
% 0.13/0.36 [28] CLOSURE : q
% 0.13/0.36
% 0.13/0.36 [26] BETA_OR : (~p | q)
% 0.13/0.36 -> [31] ~p
% 0.13/0.36 -> [32] q
% 0.13/0.36
% 0.13/0.36 [31] CLOSURE : ~p
% 0.13/0.36
% 0.13/0.36 [32] BETA_OR : (~p | ~r)
% 0.13/0.36 -> [34] ~p
% 0.13/0.36 -> [35] ~r
% 0.13/0.36
% 0.13/0.36 [34] CLOSURE : ~p
% 0.13/0.36
% 0.13/0.36 [35] CLOSURE : ~r
% 0.13/0.36
% 0.13/0.36 [2] BETA_IMPLY : ((p & (q => r)) => s)
% 0.13/0.36 -> [3] ~(p & (q => r))
% 0.13/0.36 -> [4] s
% 0.13/0.36
% 0.13/0.36 [4] BETA_NOT_AND : ~(((~p | q) | s) & ((~p | ~r) | s))
% 0.13/0.36 -> [6] ~((~p | q) | s)
% 0.13/0.36 -> [7] ~((~p | ~r) | s)
% 0.13/0.36
% 0.13/0.36 [7] ALPHA_NOT_OR : ~((~p | ~r) | s)
% 0.13/0.36 -> [9] ~(~p | ~r), ~s
% 0.13/0.36
% 0.13/0.36 [9] CLOSURE : ~s
% 0.13/0.36
% 0.13/0.36 [6] ALPHA_NOT_OR : ~((~p | q) | s)
% 0.13/0.36 -> [11] ~(~p | q), ~s
% 0.13/0.36
% 0.13/0.36 [11] CLOSURE : ~s
% 0.13/0.36
% 0.13/0.36 [3] BETA_NOT_AND : ~(((~p | q) | s) & ((~p | ~r) | s))
% 0.13/0.36 -> [12] ~((~p | q) | s)
% 0.13/0.36 -> [13] ~((~p | ~r) | s)
% 0.13/0.36
% 0.13/0.36 [12] ALPHA_NOT_OR : ~((~p | q) | s)
% 0.13/0.36 -> [16] ~(~p | q), ~s
% 0.13/0.36
% 0.13/0.36 [16] ALPHA_NOT_OR : ~(~p | q)
% 0.13/0.36 -> [18] ~~p, ~q
% 0.13/0.36
% 0.13/0.36 [18] ALPHA_NOT_NOT : ~~p
% 0.13/0.36 -> [21] p
% 0.13/0.36
% 0.13/0.36 [21] BETA_NOT_AND : ~(p & (q => r))
% 0.13/0.36 -> [29] ~p
% 0.13/0.36 -> [30] ~(q => r)
% 0.13/0.36
% 0.13/0.36 [29] CLOSURE : ~p
% 0.13/0.36
% 0.13/0.36 [30] ALPHA_NOT_IMPLY : ~(q => r)
% 0.13/0.36 -> [33] q, ~r
% 0.13/0.36
% 0.13/0.36 [33] CLOSURE : q
% 0.13/0.36
% 0.13/0.36 [13] ALPHA_NOT_OR : ~((~p | ~r) | s)
% 0.13/0.36 -> [17] ~(~p | ~r), ~s
% 0.13/0.36
% 0.13/0.36 [17] ALPHA_NOT_OR : ~(~p | ~r)
% 0.13/0.36 -> [19] ~~p, ~~r
% 0.13/0.36
% 0.13/0.36 [19] ALPHA_NOT_NOT : ~~p
% 0.13/0.36 -> [20] p
% 0.13/0.36
% 0.13/0.36 [20] ALPHA_NOT_NOT : ~~r
% 0.13/0.36 -> [22] r
% 0.13/0.36
% 0.13/0.36 [22] BETA_NOT_AND : ~(p & (q => r))
% 0.13/0.36 -> [36] ~p
% 0.13/0.36 -> [37] ~(q => r)
% 0.13/0.36
% 0.13/0.36 [36] CLOSURE : ~p
% 0.13/0.36
% 0.13/0.36 [37] ALPHA_NOT_IMPLY : ~(q => r)
% 0.13/0.36 -> [38] q, ~r
% 0.13/0.36
% 0.13/0.36 [38] CLOSURE : ~r
% 0.13/0.36
% 0.13/0.36 % SZS output end Proof for theBenchmark.p
% 0.13/0.36 [0.014095s][1][Res] 61 goroutines created
% 0.13/0.36 ==== Result ====
% 0.13/0.36 [0.014125s][1][Res] VALID
% 0.13/0.36 % SZS status Theorem for theBenchmark.p
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