TSTP Solution File: SYN081+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN081+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.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 22:22:22 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN081+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n010.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 01:33:27 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 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 2
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.34 nb_step : 2 - limit : 4
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [14] ALPHA_AND : (! [X1_1] : ((big_f(X1_1) <=> ~big_f(f(X1_1)))) & ~? [X2_2] : ((big_f(X2_2) & ~big_f(f(X2_2)))))
% 0.12/0.35 -> [15] ! [X1_1] : ((big_f(X1_1) <=> ~big_f(f(X1_1)))), ~? [X2_2] : ((big_f(X2_2) & ~big_f(f(X2_2))))
% 0.12/0.35
% 0.12/0.35 [15] GAMMA_FORALL : ! [X1_1] : ((big_f(X1_1) <=> ~big_f(f(X1_1))))
% 0.12/0.35 -> [16] (big_f(X1_0_0) <=> ~big_f(f(X1_0_0)))
% 0.12/0.35
% 0.12/0.35 [16] BETA_EQUIV : (big_f(X1_0_0) <=> ~big_f(f(X1_0_0)))
% 0.12/0.35 -> [17] ~big_f(X1_0_0), ~~big_f(f(X1_0_0))
% 0.12/0.35 -> [18] big_f(X1_0_0), ~big_f(f(X1_0_0))
% 0.12/0.35
% 0.12/0.35 [18] GAMMA_NOT_EXISTS : ~? [X2_2] : ((big_f(X2_2) & ~big_f(f(X2_2))))
% 0.12/0.35 -> [20] ~(big_f(X2_0_1) & ~big_f(f(X2_0_1)))
% 0.12/0.35
% 0.12/0.35 [20] BETA_NOT_AND : ~(big_f(X2_0_1) & ~big_f(f(X2_0_1)))
% 0.12/0.35 -> [21] ~big_f(X2_0_1)
% 0.12/0.35 -> [22] ~~big_f(f(X2_0_1))
% 0.12/0.35
% 0.12/0.35 [21] CLOSURE : ~big_f(X2_0_1)
% 0.12/0.35
% 0.12/0.35 [22] ALPHA_NOT_NOT : ~~big_f(f(X2_0_1))
% 0.12/0.35 -> [26] big_f(f(X2_0_1))
% 0.12/0.35
% 0.12/0.35 [26] CLOSURE : big_f(f(X2_0_1))
% 0.12/0.35
% 0.12/0.35 [17] ALPHA_NOT_NOT : ~~big_f(f(X1_0_0))
% 0.12/0.35 -> [19] big_f(f(X1_0_0))
% 0.12/0.35
% 0.12/0.35 [19] GAMMA_NOT_EXISTS : ~? [X2_2] : ((big_f(X2_2) & ~big_f(f(X2_2))))
% 0.12/0.35 -> [23] ~(big_f(f(X1_0_0)) & ~big_f(f(f(X1_0_0))))
% 0.12/0.35
% 0.12/0.35 [23] BETA_NOT_AND : ~(big_f(f(X1_0_0)) & ~big_f(f(f(X1_0_0))))
% 0.12/0.35 -> [24] ~big_f(f(X1_0_0))
% 0.12/0.35 -> [25] ~~big_f(f(f(X1_0_0)))
% 0.12/0.35
% 0.12/0.35 [24] CLOSURE : ~big_f(f(X1_0_0))
% 0.12/0.35
% 0.12/0.35 [27] : ! [X1_1] : ((big_f(X1_1) <=> ~big_f(f(X1_1))))
% 0.12/0.35 -> [28] ! [X1_1] : ((big_f(X1_1) <=> ~big_f(f(X1_1))))
% 0.12/0.35
% 0.12/0.35 [28] GAMMA_FORALL : ! [X1_1] : ((big_f(X1_1) <=> ~big_f(f(X1_1))))
% 0.12/0.35 -> [29] (big_f(f(X1_0_0)) <=> ~big_f(f(f(X1_0_0))))
% 0.12/0.35
% 0.12/0.35 [29] BETA_EQUIV : (big_f(f(X1_0_0)) <=> ~big_f(f(f(X1_0_0))))
% 0.12/0.35 -> [30] ~big_f(f(X1_0_0)), ~~big_f(f(f(X1_0_0)))
% 0.12/0.35 -> [31] big_f(f(X1_0_0)), ~big_f(f(f(X1_0_0)))
% 0.12/0.35
% 0.12/0.35 [31] CLOSURE : ~big_f(f(f(X1_0_0)))
% 0.12/0.35
% 0.12/0.35 [30] ALPHA_NOT_NOT : ~~big_f(f(f(X1_0_0)))
% 0.12/0.35 -> [32] big_f(f(f(X1_0_0)))
% 0.12/0.35
% 0.12/0.35 [32] CLOSURE : big_f(f(f(X1_0_0)))
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.016155s][1][Res] 18 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.016187s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
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