TSTP Solution File: SYN374+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.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 22:23:14 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
% 0.11/0.12 % Problem : SYN374+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n006.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 02:58:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 4
% 0.13/0.34 Launch Gotab with destructive = true
% 0.13/0.35 % SZS output start Proof for theBenchmark.p
% 0.13/0.36 [0] BETA_NOT_EQUIV : ~(? [X2_2] : (! [Y3_3] : ((big_p(X2_2) <=> big_p(Y3_3)))) <=> (? [X4_4] : (big_p(X4_4)) <=> ! [Y5_5] : (big_p(Y5_5))))
% 0.13/0.36 -> [1] ~? [X2_2] : (! [Y3_3] : ((big_p(X2_2) <=> big_p(Y3_3)))), (? [X4_4] : (big_p(X4_4)) <=> ! [Y5_5] : (big_p(Y5_5)))
% 0.13/0.36 -> [2] ? [X2_2] : (! [Y3_3] : ((big_p(X2_2) <=> big_p(Y3_3)))), ~(? [X4_4] : (big_p(X4_4)) <=> ! [Y5_5] : (big_p(Y5_5)))
% 0.13/0.36
% 0.13/0.36 [1] BETA_EQUIV : (? [X4_4] : (big_p(X4_4)) <=> ! [Y5_5] : (big_p(Y5_5)))
% 0.13/0.36 -> [4] ~? [X4_4] : (big_p(X4_4)), ~! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36 -> [5] ? [X4_4] : (big_p(X4_4)), ! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36
% 0.13/0.36 [4] DELTA_NOT_FORALL : ~! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36 -> [9] ~big_p(skolem_Y55)
% 0.13/0.36
% 0.13/0.36 [9] GAMMA_NOT_EXISTS : ~? [X2_2] : (! [Y3_3] : ((big_p(X2_2) <=> big_p(Y3_3))))
% 0.13/0.36 -> [14] ~! [Y3_3] : ((big_p(skolem_Y55) <=> big_p(Y3_3)))
% 0.13/0.36
% 0.13/0.36 [14] DELTA_NOT_FORALL : ~! [Y3_3] : ((big_p(skolem_Y55) <=> big_p(Y3_3)))
% 0.13/0.36 -> [18] ~(big_p(skolem_Y55) <=> big_p(skolem_Y33(skolem_Y55)))
% 0.13/0.36
% 0.13/0.36 [18] BETA_NOT_EQUIV : ~(big_p(skolem_Y55) <=> big_p(skolem_Y33(skolem_Y55)))
% 0.13/0.36 -> [22] ~big_p(skolem_Y55), big_p(skolem_Y33(skolem_Y55))
% 0.13/0.36 -> [23] big_p(skolem_Y55), ~big_p(skolem_Y33(skolem_Y55))
% 0.13/0.36
% 0.13/0.36 [23] CLOSURE : big_p(skolem_Y55)
% 0.13/0.36
% 0.13/0.36 [22] GAMMA_NOT_EXISTS : ~? [X4_4] : (big_p(X4_4))
% 0.13/0.36 -> [29] ~big_p(X4_2_1)
% 0.13/0.36
% 0.13/0.36 [29] CLOSURE : ~big_p(X4_2_1)
% 0.13/0.36
% 0.13/0.36 [5] DELTA_EXISTS : ? [X4_4] : (big_p(X4_4))
% 0.13/0.36 -> [8] big_p(skolem_X44)
% 0.13/0.36
% 0.13/0.36 [8] GAMMA_NOT_EXISTS : ~? [X2_2] : (! [Y3_3] : ((big_p(X2_2) <=> big_p(Y3_3))))
% 0.13/0.36 -> [12] ~! [Y3_3] : ((big_p(skolem_X44) <=> big_p(Y3_3)))
% 0.13/0.36
% 0.13/0.36 [12] DELTA_NOT_FORALL : ~! [Y3_3] : ((big_p(skolem_X44) <=> big_p(Y3_3)))
% 0.13/0.36 -> [17] ~(big_p(skolem_X44) <=> big_p(skolem_Y33(skolem_X44)))
% 0.13/0.36
% 0.13/0.36 [17] BETA_NOT_EQUIV : ~(big_p(skolem_X44) <=> big_p(skolem_Y33(skolem_X44)))
% 0.13/0.36 -> [19] ~big_p(skolem_X44), big_p(skolem_Y33(skolem_X44))
% 0.13/0.36 -> [20] big_p(skolem_X44), ~big_p(skolem_Y33(skolem_X44))
% 0.13/0.36
% 0.13/0.36 [19] CLOSURE : ~big_p(skolem_X44)
% 0.13/0.36
% 0.13/0.36 [20] GAMMA_FORALL : ! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36 -> [30] big_p(Y5_1_1)
% 0.13/0.36
% 0.13/0.36 [30] CLOSURE : big_p(Y5_1_1)
% 0.13/0.36
% 0.13/0.36 [2] DELTA_EXISTS : ? [X2_2] : (! [Y3_3] : ((big_p(X2_2) <=> big_p(Y3_3))))
% 0.13/0.36 -> [3] ! [Y3_3] : ((big_p(skolem_X22) <=> big_p(Y3_3)))
% 0.13/0.36
% 0.13/0.36 [3] BETA_NOT_EQUIV : ~(? [X4_4] : (big_p(X4_4)) <=> ! [Y5_5] : (big_p(Y5_5)))
% 0.13/0.36 -> [6] ~? [X4_4] : (big_p(X4_4)), ! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36 -> [7] ? [X4_4] : (big_p(X4_4)), ~! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36
% 0.13/0.36 [6] GAMMA_FORALL : ! [Y3_3] : ((big_p(skolem_X22) <=> big_p(Y3_3)))
% 0.13/0.36 -> [11] (big_p(skolem_X22) <=> big_p(Y3_0_0))
% 0.13/0.36
% 0.13/0.36 [11] BETA_EQUIV : (big_p(skolem_X22) <=> big_p(Y3_0_0))
% 0.13/0.36 -> [15] ~big_p(skolem_X22), ~big_p(Y3_0_0)
% 0.13/0.36 -> [16] big_p(skolem_X22), big_p(Y3_0_0)
% 0.13/0.36
% 0.13/0.36 [16] GAMMA_NOT_EXISTS : ~? [X4_4] : (big_p(X4_4))
% 0.13/0.36 -> [27] ~big_p(X4_1_1)
% 0.13/0.36
% 0.13/0.36 [27] CLOSURE : ~big_p(X4_1_1)
% 0.13/0.36
% 0.13/0.36 [15] GAMMA_NOT_EXISTS : ~? [X4_4] : (big_p(X4_4))
% 0.13/0.36 -> [26] ~big_p(X4_0_1)
% 0.13/0.36
% 0.13/0.36 [26] GAMMA_FORALL : ! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36 -> [28] big_p(Y5_0_2)
% 0.13/0.36
% 0.13/0.36 [28] CLOSURE : big_p(Y5_0_2)
% 0.13/0.36
% 0.13/0.36 [7] DELTA_EXISTS : ? [X4_4] : (big_p(X4_4))
% 0.13/0.36 -> [10] big_p(skolem_X44)
% 0.13/0.36
% 0.13/0.36 [10] DELTA_NOT_FORALL : ~! [Y5_5] : (big_p(Y5_5))
% 0.13/0.36 -> [13] ~big_p(skolem_Y55)
% 0.13/0.36
% 0.13/0.36 [13] GAMMA_FORALL : ! [Y3_3] : ((big_p(skolem_X22) <=> big_p(Y3_3)))
% 0.13/0.36 -> [21] (big_p(skolem_X22) <=> big_p(skolem_X44))
% 0.13/0.36
% 0.13/0.36 [21] BETA_EQUIV : (big_p(skolem_X22) <=> big_p(skolem_X44))
% 0.13/0.36 -> [24] ~big_p(skolem_X22), ~big_p(skolem_X44)
% 0.13/0.36 -> [25] big_p(skolem_X22), big_p(skolem_X44)
% 0.13/0.36
% 0.13/0.36 [24] CLOSURE : ~big_p(skolem_X44)
% 0.13/0.36
% 0.13/0.36 [25] : ! [Y3_3] : ((big_p(skolem_X22) <=> big_p(Y3_3)))
% 0.13/0.36 -> [31] ! [Y3_3] : ((big_p(skolem_X22) <=> big_p(Y3_3)))
% 0.13/0.36
% 0.13/0.36 [31] GAMMA_FORALL : ! [Y3_3] : ((big_p(skolem_X22) <=> big_p(Y3_3)))
% 0.13/0.36 -> [32] (big_p(skolem_X22) <=> big_p(skolem_Y55))
% 0.13/0.36
% 0.13/0.36 [32] BETA_EQUIV : (big_p(skolem_X22) <=> big_p(skolem_Y55))
% 0.13/0.36 -> [33] ~big_p(skolem_X22), ~big_p(skolem_Y55)
% 0.13/0.36 -> [34] big_p(skolem_X22), big_p(skolem_Y55)
% 0.13/0.36
% 0.13/0.36 [33] CLOSURE : ~big_p(skolem_X22)
% 0.13/0.36
% 0.13/0.36 [34] CLOSURE : big_p(skolem_Y55)
% 0.13/0.36
% 0.13/0.36 % SZS output end Proof for theBenchmark.p
% 0.13/0.36 [0.014141s][1][Res] 32 goroutines created
% 0.13/0.36 ==== Result ====
% 0.13/0.36 [0.014183s][1][Res] VALID
% 0.13/0.36 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------