TSTP Solution File: SYN321+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN321+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 22:22:57 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
% 0.03/0.13 % Problem : SYN321+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Sep 5 02:54:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 5
% 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] GAMMA_NOT_EXISTS : ~? [X3_3, Y4_4] : (((? [Z5_5] : (big_f(X3_3, Z5_5)) => ! [Z6_6] : (big_g(X3_3, Z6_6))) => (! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_4))) => (big_f(X3_3, Y4_4) <=> ! [Z8_8] : (big_g(X3_3, Z8_8))))))
% 0.13/0.37 -> [1] ~((? [Z5_5] : (big_f(X3_0_0, Z5_5)) => ! [Z6_6] : (big_g(X3_0_0, Z6_6))) => (! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0))) => (big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8)))))
% 0.13/0.37
% 0.13/0.37 [1] ALPHA_NOT_IMPLY : ~((? [Z5_5] : (big_f(X3_0_0, Z5_5)) => ! [Z6_6] : (big_g(X3_0_0, Z6_6))) => (! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0))) => (big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8)))))
% 0.13/0.37 -> [2] (? [Z5_5] : (big_f(X3_0_0, Z5_5)) => ! [Z6_6] : (big_g(X3_0_0, Z6_6))), ~(! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0))) => (big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8))))
% 0.13/0.37
% 0.13/0.37 [2] ALPHA_NOT_IMPLY : ~(! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0))) => (big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8))))
% 0.13/0.37 -> [3] ! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0))), ~(big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8)))
% 0.13/0.37
% 0.13/0.37 [3] BETA_IMPLY : (? [Z5_5] : (big_f(X3_0_0, Z5_5)) => ! [Z6_6] : (big_g(X3_0_0, Z6_6)))
% 0.13/0.37 -> [4] ~? [Z5_5] : (big_f(X3_0_0, Z5_5))
% 0.13/0.37 -> [5] ! [Z6_6] : (big_g(X3_0_0, Z6_6))
% 0.13/0.37
% 0.13/0.37 [5] BETA_NOT_EQUIV : ~(big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8)))
% 0.13/0.37 -> [8] ~big_f(X3_0_0, Y4_0_0), ! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37 -> [9] big_f(X3_0_0, Y4_0_0), ~! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37
% 0.13/0.37 [8] GAMMA_FORALL : ! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0)))
% 0.13/0.37 -> [13] (big_g(Z7_1_1, Z7_1_1) => big_f(Z7_1_1, Y4_0_0))
% 0.13/0.37
% 0.13/0.37 [13] BETA_IMPLY : (big_g(Z7_1_1, Z7_1_1) => big_f(Z7_1_1, Y4_0_0))
% 0.13/0.37 -> [18] ~big_g(Z7_1_1, Z7_1_1)
% 0.13/0.37 -> [19] big_f(Z7_1_1, Y4_0_0)
% 0.13/0.37
% 0.13/0.37 [19] CLOSURE : big_f(Z7_1_1, Y4_0_0)
% 0.13/0.37
% 0.13/0.37 [18] GAMMA_FORALL : ! [Z6_6] : (big_g(Z7_1_1, Z6_6))
% 0.13/0.37 -> [27] big_g(Z7_1_1, Z6_1_2)
% 0.13/0.37
% 0.13/0.37 [27] CLOSURE : big_g(Z7_1_1, Z6_1_2)
% 0.13/0.37
% 0.13/0.37 [9] DELTA_NOT_FORALL : ~! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37 -> [11] ~big_g(X3_0_0, skolem_Z88(X3_0_0))
% 0.13/0.37
% 0.13/0.37 [11] GAMMA_FORALL : ! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0)))
% 0.13/0.37 -> [17] (big_g(Z7_3_1, Z7_3_1) => big_f(Z7_3_1, Y4_0_0))
% 0.13/0.37
% 0.13/0.37 [17] BETA_IMPLY : (big_g(Z7_3_1, Z7_3_1) => big_f(Z7_3_1, Y4_0_0))
% 0.13/0.37 -> [22] ~big_g(Z7_3_1, Z7_3_1)
% 0.13/0.37 -> [23] big_f(Z7_3_1, Y4_0_0)
% 0.13/0.37
% 0.13/0.37 [23] GAMMA_FORALL : ! [Z6_6] : (big_g(X3_0_0, Z6_6))
% 0.13/0.37 -> [25] big_g(X3_0_0, Z6_0_2)
% 0.13/0.37
% 0.13/0.37 [25] CLOSURE : big_g(X3_0_0, Z6_0_2)
% 0.13/0.37
% 0.13/0.37 [22] GAMMA_FORALL : ! [Z6_6] : (big_g(X3_0_0, Z6_6))
% 0.13/0.37 -> [28] big_g(X3_0_0, Z6_2_2)
% 0.13/0.37
% 0.13/0.37 [28] CLOSURE : big_g(X3_0_0, Z6_2_2)
% 0.13/0.37
% 0.13/0.37 [4] BETA_NOT_EQUIV : ~(big_f(X3_0_0, Y4_0_0) <=> ! [Z8_8] : (big_g(X3_0_0, Z8_8)))
% 0.13/0.37 -> [6] ~big_f(X3_0_0, Y4_0_0), ! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37 -> [7] big_f(X3_0_0, Y4_0_0), ~! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37
% 0.13/0.37 [7] DELTA_NOT_FORALL : ~! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37 -> [10] ~big_g(X3_0_0, skolem_Z88(X3_0_0))
% 0.13/0.37
% 0.13/0.37 [10] GAMMA_FORALL : ! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0)))
% 0.13/0.37 -> [16] (big_g(Z7_2_1, Z7_2_1) => big_f(Z7_2_1, Y4_0_0))
% 0.13/0.37
% 0.13/0.37 [16] BETA_IMPLY : (big_g(Z7_2_1, Z7_2_1) => big_f(Z7_2_1, Y4_0_0))
% 0.13/0.37 -> [20] ~big_g(Z7_2_1, Z7_2_1)
% 0.13/0.37 -> [21] big_f(Z7_2_1, Y4_0_0)
% 0.13/0.37
% 0.13/0.37 [21] GAMMA_NOT_EXISTS : ~? [Z5_5] : (big_f(X3_0_0, Z5_5))
% 0.13/0.37 -> [24] ~big_f(X3_0_0, Z5_0_2)
% 0.13/0.37
% 0.13/0.37 [24] CLOSURE : ~big_f(X3_0_0, Z5_0_2)
% 0.13/0.37
% 0.13/0.37 [20] GAMMA_NOT_EXISTS : ~? [Z5_5] : (big_f(X3_0_0, Z5_5))
% 0.13/0.37 -> [30] ~big_f(X3_0_0, Z5_2_2)
% 0.13/0.37
% 0.13/0.37 [30] CLOSURE : ~big_f(X3_0_0, Z5_2_2)
% 0.13/0.37
% 0.13/0.37 [6] GAMMA_FORALL : ! [Z7_7] : ((big_g(Z7_7, Z7_7) => big_f(Z7_7, Y4_0_0)))
% 0.13/0.37 -> [12] (big_g(X3_0_0, X3_0_0) => big_f(X3_0_0, Y4_0_0))
% 0.13/0.37
% 0.13/0.37 [12] BETA_IMPLY : (big_g(X3_0_0, X3_0_0) => big_f(X3_0_0, Y4_0_0))
% 0.13/0.37 -> [14] ~big_g(X3_0_0, X3_0_0)
% 0.13/0.37 -> [15] big_f(X3_0_0, Y4_0_0)
% 0.13/0.37
% 0.13/0.37 [14] GAMMA_NOT_EXISTS : ~? [Z5_5] : (big_f(X3_0_0, Z5_5))
% 0.13/0.37 -> [26] ~big_f(X3_0_0, Z5_1_2)
% 0.13/0.37
% 0.13/0.37 [26] GAMMA_FORALL : ! [Z8_8] : (big_g(X3_0_0, Z8_8))
% 0.13/0.37 -> [29] big_g(X3_0_0, Z8_0_3)
% 0.13/0.37
% 0.13/0.37 [29] CLOSURE : big_g(X3_0_0, Z8_0_3)
% 0.13/0.37
% 0.13/0.37 [15] CLOSURE : big_f(X3_0_0, Y4_0_0)
% 0.13/0.37
% 0.13/0.37 % SZS output end Proof for theBenchmark.p
% 0.13/0.37 [0.016592s][1][Res] 22 goroutines created
% 0.13/0.37 ==== Result ====
% 0.13/0.37 [0.016625s][1][Res] VALID
% 0.13/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------