TSTP Solution File: SYN415+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 22:23:25 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN415+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 03:12:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000061s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 4
% 0.12/0.34 Launch Gotab with destructive = true
% 0.18/0.48 % SZS output start Proof for theBenchmark.p
% 0.18/0.48 [0] BETA_NOT_EQUIV : ~((? [X5_5] : (f(X5_5)) & ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))) <=> ? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9))))))
% 0.18/0.48 -> [1] ~(? [X5_5] : (f(X5_5)) & ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))), ? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48 -> [2] (? [X5_5] : (f(X5_5)) & ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))), ~? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48
% 0.18/0.48 [1] DELTA_EXISTS : ? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48 -> [4] (f(skolem_U88) & ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9))))
% 0.18/0.48
% 0.18/0.48 [4] ALPHA_AND : (f(skolem_U88) & ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9))))
% 0.18/0.48 -> [6] f(skolem_U88), ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9)))
% 0.18/0.48
% 0.18/0.48 [6] BETA_NOT_AND : ~(? [X5_5] : (f(X5_5)) & ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7))))
% 0.18/0.48 -> [8] ~? [X5_5] : (f(X5_5))
% 0.18/0.48 -> [9] ~! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))
% 0.18/0.48
% 0.18/0.48 [8] GAMMA_FORALL : ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9)))
% 0.18/0.48 -> [12] (f(skolem_U88) => =(skolem_U88, skolem_U88))
% 0.18/0.48
% 0.18/0.48 [12] BETA_IMPLY : (f(skolem_U88) => =(skolem_U88, skolem_U88))
% 0.18/0.48 -> [14] ~f(skolem_U88)
% 0.18/0.48 -> [15] =(skolem_U88, skolem_U88)
% 0.18/0.48
% 0.18/0.48 [14] CLOSURE : ~f(skolem_U88)
% 0.18/0.48
% 0.18/0.48 [15] GAMMA_NOT_EXISTS : ~? [X5_5] : (f(X5_5))
% 0.18/0.48 -> [20] ~f(X5_0_1)
% 0.18/0.48
% 0.18/0.48 [20] CLOSURE : ~f(X5_0_1)
% 0.18/0.48
% 0.18/0.48 [9] DELTA_NOT_FORALL : ~! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))
% 0.18/0.48 -> [13] ~((f(skolem_Y66) & f(skolem_Z77)) => =(skolem_Y66, skolem_Z77))
% 0.18/0.48
% 0.18/0.48 [13] ALPHA_NOT_IMPLY : ~((f(skolem_Y66) & f(skolem_Z77)) => =(skolem_Y66, skolem_Z77))
% 0.18/0.48 -> [17] (f(skolem_Y66) & f(skolem_Z77)), ~=(skolem_Y66, skolem_Z77)
% 0.18/0.48
% 0.18/0.48 [17] ALPHA_AND : (f(skolem_Y66) & f(skolem_Z77))
% 0.18/0.48 -> [19] f(skolem_Y66), f(skolem_Z77)
% 0.18/0.48
% 0.18/0.48 [19] GAMMA_FORALL : ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9)))
% 0.18/0.48 -> [22] (f(skolem_Y66) => =(skolem_U88, skolem_Y66))
% 0.18/0.48
% 0.18/0.48 [22] BETA_IMPLY : (f(skolem_Y66) => =(skolem_U88, skolem_Y66))
% 0.18/0.48 -> [23] ~f(skolem_Y66)
% 0.18/0.48 -> [24] =(skolem_U88, skolem_Y66)
% 0.18/0.48
% 0.18/0.48 [23] CLOSURE : ~f(skolem_Y66)
% 0.18/0.48
% 0.18/0.48 [24] : ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9)))
% 0.18/0.48 -> [29] ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9)))
% 0.18/0.48
% 0.18/0.48 [29] GAMMA_FORALL : ! [V9_9] : ((f(V9_9) => =(skolem_U88, V9_9)))
% 0.18/0.48 -> [30] (f(skolem_Z77) => =(skolem_U88, skolem_Z77))
% 0.18/0.48
% 0.18/0.48 [30] BETA_IMPLY : (f(skolem_Z77) => =(skolem_U88, skolem_Z77))
% 0.18/0.48 -> [31] ~f(skolem_Z77)
% 0.18/0.48 -> [32] =(skolem_U88, skolem_Z77)
% 0.18/0.48
% 0.18/0.48 [31] CLOSURE : =
% 0.18/0.48
% 0.18/0.48 [32] CLOSURE : =
% 0.18/0.48
% 0.18/0.48 [2] ALPHA_AND : (? [X5_5] : (f(X5_5)) & ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7))))
% 0.18/0.48 -> [3] ? [X5_5] : (f(X5_5)), ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))
% 0.18/0.48
% 0.18/0.48 [3] DELTA_EXISTS : ? [X5_5] : (f(X5_5))
% 0.18/0.48 -> [5] f(skolem_X55)
% 0.18/0.48
% 0.18/0.48 [5] GAMMA_NOT_EXISTS : ~? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48 -> [7] ~(f(skolem_X55) & ! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9))))
% 0.18/0.48
% 0.18/0.48 [7] BETA_NOT_AND : ~(f(skolem_X55) & ! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9))))
% 0.18/0.48 -> [10] ~f(skolem_X55)
% 0.18/0.48 -> [11] ~! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9)))
% 0.18/0.48
% 0.18/0.48 [10] CLOSURE : ~f(skolem_X55)
% 0.18/0.48
% 0.18/0.48 [11] DELTA_NOT_FORALL : ~! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9)))
% 0.18/0.48 -> [16] ~(f(skolem_V99(skolem_X55)) => =(skolem_X55, skolem_V99(skolem_X55)))
% 0.18/0.48
% 0.18/0.48 [16] ALPHA_NOT_IMPLY : ~(f(skolem_V99(skolem_X55)) => =(skolem_X55, skolem_V99(skolem_X55)))
% 0.18/0.48 -> [18] f(skolem_V99(skolem_X55)), ~=(skolem_X55, skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [18] GAMMA_FORALL : ! [Y6_6, Z7_7] : (((f(Y6_6) & f(Z7_7)) => =(Y6_6, Z7_7)))
% 0.18/0.48 -> [21] ((f(skolem_V99(skolem_X55)) & f(skolem_V99(skolem_X55))) => =(skolem_V99(skolem_X55), skolem_V99(skolem_X55)))
% 0.18/0.48
% 0.18/0.48 [21] BETA_IMPLY : ((f(skolem_V99(skolem_X55)) & f(skolem_V99(skolem_X55))) => =(skolem_V99(skolem_X55), skolem_V99(skolem_X55)))
% 0.18/0.48 -> [25] ~(f(skolem_V99(skolem_X55)) & f(skolem_V99(skolem_X55)))
% 0.18/0.48 -> [26] =(skolem_V99(skolem_X55), skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [25] BETA_NOT_AND : ~(f(skolem_V99(skolem_X55)) & f(skolem_V99(skolem_X55)))
% 0.18/0.48 -> [27] ~f(skolem_V99(skolem_X55))
% 0.18/0.48 -> [28] ~f(skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [27] CLOSURE : ~f(skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [28] CLOSURE : ~f(skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [26] : ~? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48 -> [33] ~? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48
% 0.18/0.48 [33] GAMMA_NOT_EXISTS : ~? [U8_8] : ((f(U8_8) & ! [V9_9] : ((f(V9_9) => =(U8_8, V9_9)))))
% 0.18/0.48 -> [34] ~(f(skolem_X55) & ! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9))))
% 0.18/0.48
% 0.18/0.48 [34] BETA_NOT_AND : ~(f(skolem_X55) & ! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9))))
% 0.18/0.48 -> [35] ~f(skolem_X55)
% 0.18/0.48 -> [36] ~! [V9_9] : ((f(V9_9) => =(skolem_X55, V9_9)))
% 0.18/0.48
% 0.18/0.48 [35] CLOSURE : =
% 0.18/0.48
% 0.18/0.48 [40] BETA_IMPLY : ((f(skolem_X55) & f(skolem_V99(skolem_X55))) => =(skolem_X55, skolem_V99(skolem_X55)))
% 0.18/0.48 -> [45] ~(f(skolem_X55) & f(skolem_V99(skolem_X55)))
% 0.18/0.48 -> [46] =(skolem_X55, skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [46] CLOSURE : =
% 0.18/0.48
% 0.18/0.48 [45] BETA_NOT_AND : ~(f(skolem_X55) & f(skolem_V99(skolem_X55)))
% 0.18/0.48 -> [49] ~f(skolem_X55)
% 0.18/0.48 -> [50] ~f(skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 [49] CLOSURE : ~f(skolem_X55)
% 0.18/0.48
% 0.18/0.48 [50] CLOSURE : ~f(skolem_V99(skolem_X55))
% 0.18/0.48
% 0.18/0.48 % SZS output end Proof for theBenchmark.p
% 0.18/0.48 [0.139551s][1][Res] 467 goroutines created
% 0.18/0.48 ==== Result ====
% 0.18/0.48 [0.139587s][1][Res] VALID
% 0.18/0.48 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------