TSTP Solution File: SYN315+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN315+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n013.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 22:22:55 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
% 0.09/0.11 % Problem : SYN315+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n013.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 02:25:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000038s][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
% 0.12/0.34 % SZS output start Proof for theBenchmark.p
% 0.12/0.34 [0] GAMMA_NOT_EXISTS : ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34 -> [1] ~! [Y3_3] : (((big_f(X2_0_0) <=> p) => (big_f(Y3_3) <=> p)))
% 0.12/0.34
% 0.12/0.34 [1] DELTA_NOT_FORALL : ~! [Y3_3] : (((big_f(X2_0_0) <=> p) => (big_f(Y3_3) <=> p)))
% 0.12/0.34 -> [2] ~((big_f(X2_0_0) <=> p) => (big_f(skolem_Y33(X2_0_0)) <=> p))
% 0.12/0.34
% 0.12/0.34 [2] ALPHA_NOT_IMPLY : ~((big_f(X2_0_0) <=> p) => (big_f(skolem_Y33(X2_0_0)) <=> p))
% 0.12/0.34 -> [3] (big_f(X2_0_0) <=> p), ~(big_f(skolem_Y33(X2_0_0)) <=> p)
% 0.12/0.34
% 0.12/0.34 [3] BETA_EQUIV : (big_f(X2_0_0) <=> p)
% 0.12/0.34 -> [4] ~big_f(X2_0_0), ~p
% 0.12/0.34 -> [5] big_f(X2_0_0), p
% 0.12/0.34
% 0.12/0.34 [4] BETA_NOT_EQUIV : ~(big_f(skolem_Y33(X2_0_0)) <=> p)
% 0.12/0.34 -> [6] ~big_f(skolem_Y33(X2_0_0)), p
% 0.12/0.34 -> [7] big_f(skolem_Y33(X2_0_0)), ~p
% 0.12/0.34
% 0.12/0.34 [6] CLOSURE : p
% 0.12/0.34
% 0.12/0.34 [7] : ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34 -> [8] ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34
% 0.12/0.34 [8] GAMMA_NOT_EXISTS : ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34 -> [11] ~! [Y3_3] : (((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(Y3_3) <=> p)))
% 0.12/0.34
% 0.12/0.34 [11] DELTA_NOT_FORALL : ~! [Y3_3] : (((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(Y3_3) <=> p)))
% 0.12/0.34 -> [12] ~((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(skolem_Y33(skolem_Y33(X2_0_0))) <=> p))
% 0.12/0.34
% 0.12/0.34 [12] ALPHA_NOT_IMPLY : ~((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(skolem_Y33(skolem_Y33(X2_0_0))) <=> p))
% 0.12/0.34 -> [13] (big_f(skolem_Y33(X2_0_0)) <=> p), ~(big_f(skolem_Y33(skolem_Y33(X2_0_0))) <=> p)
% 0.12/0.34
% 0.12/0.34 [13] BETA_EQUIV : (big_f(skolem_Y33(X2_0_0)) <=> p)
% 0.12/0.34 -> [14] ~big_f(skolem_Y33(X2_0_0)), ~p
% 0.12/0.34 -> [15] big_f(skolem_Y33(X2_0_0)), p
% 0.12/0.34
% 0.12/0.34 [14] CLOSURE : ~big_f(skolem_Y33(X2_0_0))
% 0.12/0.34
% 0.12/0.34 [15] CLOSURE : p
% 0.12/0.34
% 0.12/0.34 [5] BETA_NOT_EQUIV : ~(big_f(skolem_Y33(X2_0_0)) <=> p)
% 0.12/0.34 -> [9] ~big_f(skolem_Y33(X2_0_0)), p
% 0.12/0.34 -> [10] big_f(skolem_Y33(X2_0_0)), ~p
% 0.12/0.34
% 0.12/0.34 [10] CLOSURE : ~p
% 0.12/0.34
% 0.12/0.34 [9] : ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34 -> [16] ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34
% 0.12/0.34 [16] GAMMA_NOT_EXISTS : ~? [X2_2] : (! [Y3_3] : (((big_f(X2_2) <=> p) => (big_f(Y3_3) <=> p))))
% 0.12/0.34 -> [17] ~! [Y3_3] : (((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(Y3_3) <=> p)))
% 0.12/0.34
% 0.12/0.34 [17] DELTA_NOT_FORALL : ~! [Y3_3] : (((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(Y3_3) <=> p)))
% 0.12/0.34 -> [18] ~((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(skolem_Y33(skolem_Y33(X2_0_0))) <=> p))
% 0.12/0.34
% 0.12/0.34 [18] ALPHA_NOT_IMPLY : ~((big_f(skolem_Y33(X2_0_0)) <=> p) => (big_f(skolem_Y33(skolem_Y33(X2_0_0))) <=> p))
% 0.12/0.34 -> [19] (big_f(skolem_Y33(X2_0_0)) <=> p), ~(big_f(skolem_Y33(skolem_Y33(X2_0_0))) <=> p)
% 0.12/0.34
% 0.12/0.34 [19] BETA_EQUIV : (big_f(skolem_Y33(X2_0_0)) <=> p)
% 0.12/0.34 -> [20] ~big_f(skolem_Y33(X2_0_0)), ~p
% 0.12/0.34 -> [21] big_f(skolem_Y33(X2_0_0)), p
% 0.12/0.34
% 0.12/0.34 [20] CLOSURE : ~p
% 0.12/0.34
% 0.12/0.34 [21] CLOSURE : big_f(skolem_Y33(X2_0_0))
% 0.12/0.34
% 0.12/0.34 % SZS output end Proof for theBenchmark.p
% 0.12/0.34 [0.009009s][1][Res] 37 goroutines created
% 0.12/0.34 ==== Result ====
% 0.12/0.34 [0.009045s][1][Res] VALID
% 0.12/0.34 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------