TSTP Solution File: SYN966+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.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 22:25:08 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Sep 5 09:48:46 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 [DMT] DMT loaded with preskolemization
% 0.11/0.34 [EQ] equality loaded.
% 0.11/0.34 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.34 Start search
% 0.11/0.34 nb_step : 1 - limit : 3
% 0.11/0.34 Launch Gotab with destructive = true
% 0.18/0.41 % SZS output start Proof for theBenchmark.p
% 0.18/0.41 [0] ALPHA_NOT_IMPLY : ~(! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6))))) => ! [A8_8, B9_9] : ((eq(A8_8, B9_9) => eq(B9_9, A8_8))))
% 0.18/0.41 -> [1] ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6))))), ~! [A8_8, B9_9] : ((eq(A8_8, B9_9) => eq(B9_9, A8_8)))
% 0.18/0.41
% 0.18/0.41 [1] DELTA_NOT_FORALL : ~! [A8_8, B9_9] : ((eq(A8_8, B9_9) => eq(B9_9, A8_8)))
% 0.18/0.41 -> [2] ~(eq(skolem_A88, skolem_B99) => eq(skolem_B99, skolem_A88))
% 0.18/0.41
% 0.18/0.41 [2] ALPHA_NOT_IMPLY : ~(eq(skolem_A88, skolem_B99) => eq(skolem_B99, skolem_A88))
% 0.18/0.41 -> [3] eq(skolem_A88, skolem_B99), ~eq(skolem_B99, skolem_A88)
% 0.18/0.41
% 0.18/0.41 [3] GAMMA_FORALL : ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41 -> [4] (eq(skolem_B99, skolem_A88) <=> ! [Z7_7] : ((a_member_of(Z7_7, skolem_B99) <=> a_member_of(Z7_7, skolem_A88))))
% 0.18/0.41
% 0.18/0.41 [4] BETA_EQUIV : (eq(skolem_B99, skolem_A88) <=> ! [Z7_7] : ((a_member_of(Z7_7, skolem_B99) <=> a_member_of(Z7_7, skolem_A88))))
% 0.18/0.41 -> [5] ~eq(skolem_B99, skolem_A88), ~! [Z7_7] : ((a_member_of(Z7_7, skolem_B99) <=> a_member_of(Z7_7, skolem_A88)))
% 0.18/0.41 -> [6] eq(skolem_B99, skolem_A88), ! [Z7_7] : ((a_member_of(Z7_7, skolem_B99) <=> a_member_of(Z7_7, skolem_A88)))
% 0.18/0.41
% 0.18/0.41 [6] CLOSURE : eq(skolem_B99, skolem_A88)
% 0.18/0.41
% 0.18/0.41 [7] BETA_NOT_EQUIV : ~(a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99) <=> a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88))
% 0.18/0.41 -> [8] ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99), a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88)
% 0.18/0.41 -> [9] a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99), ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88)
% 0.18/0.41
% 0.18/0.41 [8] : ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41 -> [10] ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41
% 0.18/0.41 [10] GAMMA_FORALL : ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41 -> [12] (eq(skolem_A88, skolem_B99) <=> ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99))))
% 0.18/0.41
% 0.18/0.41 [12] BETA_EQUIV : (eq(skolem_A88, skolem_B99) <=> ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99))))
% 0.18/0.41 -> [14] ~eq(skolem_A88, skolem_B99), ~! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41 -> [15] eq(skolem_A88, skolem_B99), ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41
% 0.18/0.41 [14] DELTA_NOT_FORALL : ~! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41 -> [18] ~(a_member_of(skolem_Z77(skolem_A88, skolem_B99), skolem_A88) <=> a_member_of(skolem_Z77(skolem_A88, skolem_B99), skolem_B99))
% 0.18/0.41
% 0.18/0.41 [18] CLOSURE : ~! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41
% 0.18/0.41 [15] GAMMA_FORALL : ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41 -> [52] (a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88) <=> a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99))
% 0.18/0.41
% 0.18/0.41 [52] BETA_EQUIV : (a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88) <=> a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99))
% 0.18/0.41 -> [53] ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88), ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99)
% 0.18/0.41 -> [54] a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88), a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99)
% 0.18/0.41
% 0.18/0.41 [53] CLOSURE : ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88)
% 0.18/0.41
% 0.18/0.41 [54] CLOSURE : a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99)
% 0.18/0.41
% 0.18/0.41 [9] : ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41 -> [11] ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41
% 0.18/0.41 [11] GAMMA_FORALL : ! [X5_5, Y6_6] : ((eq(X5_5, Y6_6) <=> ! [Z7_7] : ((a_member_of(Z7_7, X5_5) <=> a_member_of(Z7_7, Y6_6)))))
% 0.18/0.41 -> [13] (eq(skolem_A88, skolem_B99) <=> ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99))))
% 0.18/0.41
% 0.18/0.41 [13] BETA_EQUIV : (eq(skolem_A88, skolem_B99) <=> ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99))))
% 0.18/0.41 -> [16] ~eq(skolem_A88, skolem_B99), ~! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41 -> [17] eq(skolem_A88, skolem_B99), ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41
% 0.18/0.41 [16] DELTA_NOT_FORALL : ~! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41 -> [19] ~(a_member_of(skolem_Z77(skolem_A88, skolem_B99), skolem_A88) <=> a_member_of(skolem_Z77(skolem_A88, skolem_B99), skolem_B99))
% 0.18/0.41
% 0.18/0.41 [19] CLOSURE : ~! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41
% 0.18/0.41 [17] GAMMA_FORALL : ! [Z7_7] : ((a_member_of(Z7_7, skolem_A88) <=> a_member_of(Z7_7, skolem_B99)))
% 0.18/0.41 -> [55] (a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88) <=> a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99))
% 0.18/0.41
% 0.18/0.41 [55] BETA_EQUIV : (a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88) <=> a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99))
% 0.18/0.41 -> [56] ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88), ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99)
% 0.18/0.41 -> [57] a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88), a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99)
% 0.18/0.41
% 0.18/0.41 [56] CLOSURE : ~a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_B99)
% 0.18/0.41
% 0.18/0.41 [57] CLOSURE : a_member_of(skolem_Z77(skolem_B99, skolem_A88), skolem_A88)
% 0.18/0.41
% 0.18/0.41 % SZS output end Proof for theBenchmark.p
% 0.18/0.41 [0.070236s][1][Res] 522 goroutines created
% 0.18/0.41 ==== Result ====
% 0.18/0.41 [0.070269s][1][Res] VALID
% 0.18/0.41 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------