TSTP Solution File: SYN068+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN068+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 22:22:18 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % 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 01:31:38 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 : 6
% 0.13/0.35 Launch Gotab with destructive = true
% 0.20/0.45 % SZS output start Proof for theBenchmark.p
% 0.20/0.46 [0] ALPHA_AND : (! [X3_3] : ((big_f(X3_3) => (? [Y4_4] : ((big_g(Y4_4) & big_h(X3_3, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(X3_3, Y15_5)))))) & ? [X6_6] : ((big_j(X6_6) & ! [Y7_7] : ((big_g(Y7_7) => big_h(X6_6, Y7_7))))) & ~? [X8_8] : ((big_j(X8_8) & ~big_f(X8_8))))
% 0.20/0.46 -> [1] ! [X3_3] : ((big_f(X3_3) => (? [Y4_4] : ((big_g(Y4_4) & big_h(X3_3, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(X3_3, Y15_5)))))), ? [X6_6] : ((big_j(X6_6) & ! [Y7_7] : ((big_g(Y7_7) => big_h(X6_6, Y7_7))))), ~? [X8_8] : ((big_j(X8_8) & ~big_f(X8_8)))
% 0.20/0.46
% 0.20/0.46 [1] DELTA_EXISTS : ? [X6_6] : ((big_j(X6_6) & ! [Y7_7] : ((big_g(Y7_7) => big_h(X6_6, Y7_7)))))
% 0.20/0.46 -> [2] (big_j(skolem_X66) & ! [Y7_7] : ((big_g(Y7_7) => big_h(skolem_X66, Y7_7))))
% 0.20/0.46
% 0.20/0.46 [2] ALPHA_AND : (big_j(skolem_X66) & ! [Y7_7] : ((big_g(Y7_7) => big_h(skolem_X66, Y7_7))))
% 0.20/0.46 -> [3] big_j(skolem_X66), ! [Y7_7] : ((big_g(Y7_7) => big_h(skolem_X66, Y7_7)))
% 0.20/0.46
% 0.20/0.46 [3] GAMMA_FORALL : ! [X3_3] : ((big_f(X3_3) => (? [Y4_4] : ((big_g(Y4_4) & big_h(X3_3, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(X3_3, Y15_5))))))
% 0.20/0.46 -> [4] (big_f(skolem_X66) => (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5)))))
% 0.20/0.46
% 0.20/0.46 [4] BETA_IMPLY : (big_f(skolem_X66) => (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5)))))
% 0.20/0.46 -> [5] ~big_f(skolem_X66)
% 0.20/0.46 -> [6] (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5))))
% 0.20/0.46
% 0.20/0.46 [5] GAMMA_NOT_EXISTS : ~? [X8_8] : ((big_j(X8_8) & ~big_f(X8_8)))
% 0.20/0.46 -> [7] ~(big_j(skolem_X66) & ~big_f(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [7] BETA_NOT_AND : ~(big_j(skolem_X66) & ~big_f(skolem_X66))
% 0.20/0.46 -> [9] ~big_j(skolem_X66)
% 0.20/0.46 -> [10] ~~big_f(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [9] CLOSURE : ~big_j(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [13] CLOSURE : big_f(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [6] ALPHA_AND : (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5))))
% 0.20/0.46 -> [8] ? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))), ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5)))
% 0.20/0.46
% 0.20/0.46 [8] DELTA_EXISTS : ? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4)))
% 0.20/0.46 -> [11] (big_g(skolem_Y44(skolem_X66)) & big_h(skolem_X66, skolem_Y44(skolem_X66)))
% 0.20/0.46
% 0.20/0.46 [11] ALPHA_AND : (big_g(skolem_Y44(skolem_X66)) & big_h(skolem_X66, skolem_Y44(skolem_X66)))
% 0.20/0.46 -> [12] big_g(skolem_Y44(skolem_X66)), big_h(skolem_X66, skolem_Y44(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [12] DELTA_EXISTS : ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5)))
% 0.20/0.46 -> [14] (big_g(skolem_Y155(skolem_X66)) & ~big_h(skolem_X66, skolem_Y155(skolem_X66)))
% 0.20/0.46
% 0.20/0.46 [14] ALPHA_AND : (big_g(skolem_Y155(skolem_X66)) & ~big_h(skolem_X66, skolem_Y155(skolem_X66)))
% 0.20/0.46 -> [15] big_g(skolem_Y155(skolem_X66)), ~big_h(skolem_X66, skolem_Y155(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [15] GAMMA_NOT_EXISTS : ~? [X8_8] : ((big_j(X8_8) & ~big_f(X8_8)))
% 0.20/0.46 -> [16] ~(big_j(skolem_X66) & ~big_f(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [16] BETA_NOT_AND : ~(big_j(skolem_X66) & ~big_f(skolem_X66))
% 0.20/0.46 -> [17] ~big_j(skolem_X66)
% 0.20/0.46 -> [18] ~~big_f(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [17] CLOSURE : ~big_j(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [20] BETA_IMPLY : (big_g(skolem_Y44(skolem_X66)) => big_h(skolem_X66, skolem_Y44(skolem_X66)))
% 0.20/0.46 -> [23] ~big_g(skolem_Y44(skolem_X66))
% 0.20/0.46 -> [24] big_h(skolem_X66, skolem_Y44(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [23] CLOSURE : ~big_g(skolem_Y44(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [24] : ! [X3_3] : ((big_f(X3_3) => (? [Y4_4] : ((big_g(Y4_4) & big_h(X3_3, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(X3_3, Y15_5))))))
% 0.20/0.46 -> [25] ! [X3_3] : ((big_f(X3_3) => (? [Y4_4] : ((big_g(Y4_4) & big_h(X3_3, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(X3_3, Y15_5))))))
% 0.20/0.46
% 0.20/0.46 [25] GAMMA_FORALL : ! [X3_3] : ((big_f(X3_3) => (? [Y4_4] : ((big_g(Y4_4) & big_h(X3_3, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(X3_3, Y15_5))))))
% 0.20/0.46 -> [26] (big_f(skolem_X66) => (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5)))))
% 0.20/0.46
% 0.20/0.46 [26] BETA_IMPLY : (big_f(skolem_X66) => (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5)))))
% 0.20/0.46 -> [27] ~big_f(skolem_X66)
% 0.20/0.46 -> [28] (? [Y4_4] : ((big_g(Y4_4) & big_h(skolem_X66, Y4_4))) & ? [Y15_5] : ((big_g(Y15_5) & ~big_h(skolem_X66, Y15_5))))
% 0.20/0.46
% 0.20/0.46 [27] CLOSURE : ~big_f(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [35] BETA_NOT_AND : ~(big_j(skolem_X66) & ~big_f(skolem_X66))
% 0.20/0.46 -> [45] ~big_j(skolem_X66)
% 0.20/0.46 -> [46] ~~big_f(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [45] CLOSURE : ~big_j(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [46] ALPHA_NOT_NOT : ~~big_f(skolem_X66)
% 0.20/0.46 -> [47] big_f(skolem_X66)
% 0.20/0.46
% 0.20/0.46 [47] ALPHA_NOT_NOT : ! [Y7_7] : ((big_g(Y7_7) => big_h(skolem_X66, Y7_7)))
% 0.20/0.46 -> [48] ! [Y7_7] : ((big_g(Y7_7) => big_h(skolem_X66, Y7_7)))
% 0.20/0.46
% 0.20/0.46 [48] GAMMA_FORALL : ! [Y7_7] : ((big_g(Y7_7) => big_h(skolem_X66, Y7_7)))
% 0.20/0.46 -> [49] (big_g(skolem_Y155(skolem_X66)) => big_h(skolem_X66, skolem_Y155(skolem_X66)))
% 0.20/0.46
% 0.20/0.46 [49] BETA_IMPLY : (big_g(skolem_Y155(skolem_X66)) => big_h(skolem_X66, skolem_Y155(skolem_X66)))
% 0.20/0.46 -> [50] ~big_g(skolem_Y155(skolem_X66))
% 0.20/0.46 -> [51] big_h(skolem_X66, skolem_Y155(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [50] CLOSURE : ~big_g(skolem_Y155(skolem_X66))
% 0.20/0.46
% 0.20/0.46 [51] CLOSURE : big_h(skolem_X66, skolem_Y155(skolem_X66))
% 0.20/0.46
% 0.20/0.46 % SZS output end Proof for theBenchmark.p
% 0.20/0.46 [0.105684s][1][Res] 367 goroutines created
% 0.20/0.46 ==== Result ====
% 0.20/0.46 [0.105722s][1][Res] VALID
% 0.20/0.46 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------