TSTP Solution File: SYN375+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN375+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN375+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n014.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 02:58:44 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 4
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.37 % SZS output start Proof for theBenchmark.p
% 0.13/0.37 [0] BETA_NOT_EQUIV : ~(! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3)))) <=> (! [X4_4] : (big_p(X4_4)) <=> ? [Y5_5] : (big_p(Y5_5))))
% 0.13/0.37 -> [1] ~! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3)))), (! [X4_4] : (big_p(X4_4)) <=> ? [Y5_5] : (big_p(Y5_5)))
% 0.13/0.37 -> [2] ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3)))), ~(! [X4_4] : (big_p(X4_4)) <=> ? [Y5_5] : (big_p(Y5_5)))
% 0.13/0.37
% 0.13/0.37 [1] DELTA_NOT_FORALL : ~! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [5] ~(big_p(skolem_X22) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37
% 0.13/0.37 [5] BETA_EQUIV : (! [X4_4] : (big_p(X4_4)) <=> ? [Y5_5] : (big_p(Y5_5)))
% 0.13/0.37 -> [6] ~! [X4_4] : (big_p(X4_4)), ~? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [7] ! [X4_4] : (big_p(X4_4)), ? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37
% 0.13/0.37 [6] DELTA_NOT_FORALL : ~! [X4_4] : (big_p(X4_4))
% 0.13/0.37 -> [13] ~big_p(skolem_X44)
% 0.13/0.37
% 0.13/0.37 [13] BETA_NOT_EQUIV : ~(big_p(skolem_X22) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37 -> [17] ~big_p(skolem_X22), ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [18] big_p(skolem_X22), ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [18] GAMMA_NOT_EXISTS : ~? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [25] ~big_p(Y5_0_0)
% 0.13/0.37
% 0.13/0.37 [25] CLOSURE : ~big_p(Y5_0_0)
% 0.13/0.37
% 0.13/0.37 [17] DELTA_EXISTS : ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [26] big_p(skolem_Y33)
% 0.13/0.37
% 0.13/0.37 [26] GAMMA_NOT_EXISTS : ~? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [33] ~big_p(Y5_2_0)
% 0.13/0.37
% 0.13/0.37 [33] CLOSURE : ~big_p(Y5_2_0)
% 0.13/0.37
% 0.13/0.37 [7] DELTA_EXISTS : ? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [9] big_p(skolem_Y55)
% 0.13/0.37
% 0.13/0.37 [9] BETA_NOT_EQUIV : ~(big_p(skolem_X22) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37 -> [14] ~big_p(skolem_X22), ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [15] big_p(skolem_X22), ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [14] DELTA_EXISTS : ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [29] big_p(skolem_Y33)
% 0.13/0.37
% 0.13/0.37 [29] GAMMA_FORALL : ! [X4_4] : (big_p(X4_4))
% 0.13/0.37 -> [31] big_p(X4_3_0)
% 0.13/0.37
% 0.13/0.37 [31] CLOSURE : big_p(X4_3_0)
% 0.13/0.37
% 0.13/0.37 [15] GAMMA_FORALL : ! [X4_4] : (big_p(X4_4))
% 0.13/0.37 -> [24] big_p(X4_1_0)
% 0.13/0.37
% 0.13/0.37 [24] GAMMA_NOT_EXISTS : ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [28] ~big_p(Y3_0_1)
% 0.13/0.37
% 0.13/0.37 [28] CLOSURE : ~big_p(Y3_0_1)
% 0.13/0.37
% 0.13/0.37 [2] BETA_NOT_EQUIV : ~(! [X4_4] : (big_p(X4_4)) <=> ? [Y5_5] : (big_p(Y5_5)))
% 0.13/0.37 -> [3] ~! [X4_4] : (big_p(X4_4)), ? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [4] ! [X4_4] : (big_p(X4_4)), ~? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37
% 0.13/0.37 [4] GAMMA_FORALL : ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [8] (big_p(X2_0_0) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37
% 0.13/0.37 [8] BETA_EQUIV : (big_p(X2_0_0) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37 -> [11] ~big_p(X2_0_0), ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [12] big_p(X2_0_0), ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [11] GAMMA_FORALL : ! [X4_4] : (big_p(X4_4))
% 0.13/0.37 -> [23] big_p(X4_0_1)
% 0.13/0.37
% 0.13/0.37 [23] CLOSURE : big_p(X4_0_1)
% 0.13/0.37
% 0.13/0.37 [12] DELTA_EXISTS : ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [20] big_p(skolem_Y33)
% 0.13/0.37
% 0.13/0.37 [20] GAMMA_FORALL : ! [X4_4] : (big_p(X4_4))
% 0.13/0.37 -> [30] big_p(X4_2_1)
% 0.13/0.37
% 0.13/0.37 [30] GAMMA_NOT_EXISTS : ~? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [32] ~big_p(Y5_1_2)
% 0.13/0.37
% 0.13/0.37 [32] CLOSURE : ~big_p(Y5_1_2)
% 0.13/0.37
% 0.13/0.37 [3] DELTA_NOT_FORALL : ~! [X4_4] : (big_p(X4_4))
% 0.13/0.37 -> [10] ~big_p(skolem_X44)
% 0.13/0.37
% 0.13/0.37 [10] DELTA_EXISTS : ? [Y5_5] : (big_p(Y5_5))
% 0.13/0.37 -> [16] big_p(skolem_Y55)
% 0.13/0.37
% 0.13/0.37 [16] GAMMA_FORALL : ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [19] (big_p(skolem_Y55) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37
% 0.13/0.37 [19] BETA_EQUIV : (big_p(skolem_Y55) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37 -> [21] ~big_p(skolem_Y55), ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [22] big_p(skolem_Y55), ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [21] CLOSURE : ~big_p(skolem_Y55)
% 0.13/0.37
% 0.13/0.37 [27] : ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [34] ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37
% 0.13/0.37 [34] GAMMA_FORALL : ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [35] (big_p(skolem_Y33) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37
% 0.13/0.37 [35] BETA_EQUIV : (big_p(skolem_Y33) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37 -> [36] ~big_p(skolem_Y33), ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [37] big_p(skolem_Y33), ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [36] CLOSURE : ~big_p(skolem_Y33)
% 0.13/0.37
% 0.13/0.37 [38] : ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [39] ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37
% 0.13/0.37 [39] GAMMA_FORALL : ! [X2_2] : ((big_p(X2_2) <=> ? [Y3_3] : (big_p(Y3_3))))
% 0.13/0.37 -> [40] (big_p(skolem_X44) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37
% 0.13/0.37 [40] BETA_EQUIV : (big_p(skolem_X44) <=> ? [Y3_3] : (big_p(Y3_3)))
% 0.13/0.37 -> [41] ~big_p(skolem_X44), ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [42] big_p(skolem_X44), ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [42] DELTA_EXISTS : ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [43] big_p(skolem_Y33)
% 0.13/0.37
% 0.13/0.37 [43] CLOSURE : ? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37
% 0.13/0.37 [41] GAMMA_NOT_EXISTS : ~? [Y3_3] : (big_p(Y3_3))
% 0.13/0.37 -> [44] ~big_p(Y3_1_1)
% 0.13/0.37
% 0.13/0.37 [44] CLOSURE : ~big_p(Y3_1_1)
% 0.13/0.37
% 0.13/0.37 % SZS output end Proof for theBenchmark.p
% 0.13/0.37 [0.022911s][1][Res] 46 goroutines created
% 0.13/0.37 ==== Result ====
% 0.13/0.37 [0.022944s][1][Res] VALID
% 0.13/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------