TSTP Solution File: SYN356+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 22:23:09 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n025.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 03:00:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000041s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 2
% 0.12/0.34 Launch Gotab with destructive = true
% 0.20/0.38 nb_step : 2 - limit : 4
% 0.20/0.38 Launch Gotab with destructive = true
% 0.20/0.48 % SZS output start Proof for theBenchmark.p
% 0.20/0.48 [30] ALPHA_NOT_IMPLY : ~(((big_r(a, b) & ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))) & ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))) => (big_q(a, a) & big_q(b, b)))
% 0.20/0.48 -> [31] ((big_r(a, b) & ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))) & ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))), ~(big_q(a, a) & big_q(b, b))
% 0.20/0.48
% 0.20/0.48 [31] ALPHA_AND : ((big_r(a, b) & ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))) & ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6))))
% 0.20/0.48 -> [32] (big_r(a, b) & ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))), ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))
% 0.20/0.48
% 0.20/0.48 [32] ALPHA_AND : (big_r(a, b) & ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5)))))
% 0.20/0.48 -> [33] big_r(a, b), ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))
% 0.20/0.48
% 0.20/0.48 [33] BETA_NOT_AND : ~(big_q(a, a) & big_q(b, b))
% 0.20/0.48 -> [34] ~big_q(a, a)
% 0.20/0.48 -> [35] ~big_q(b, b)
% 0.20/0.48
% 0.20/0.48 [34] GAMMA_FORALL : ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))
% 0.20/0.48 -> [36] (big_q(a, b) => big_q(a, a))
% 0.20/0.48
% 0.20/0.48 [36] BETA_IMPLY : (big_q(a, b) => big_q(a, a))
% 0.20/0.48 -> [38] ~big_q(a, b)
% 0.20/0.48 -> [39] big_q(a, a)
% 0.20/0.48
% 0.20/0.48 [39] CLOSURE : big_q(a, a)
% 0.20/0.48
% 0.20/0.48 [42] BETA_IMPLY : (big_r(a, b) => (big_r(b, a) & big_q(a, b)))
% 0.20/0.48 -> [52] ~big_r(a, b)
% 0.20/0.48 -> [53] (big_r(b, a) & big_q(a, b))
% 0.20/0.48
% 0.20/0.48 [53] ALPHA_AND : (big_r(b, a) & big_q(a, b))
% 0.20/0.48 -> [55] big_r(b, a), big_q(a, b)
% 0.20/0.48
% 0.20/0.48 [55] CLOSURE : big_q(a, b)
% 0.20/0.48
% 0.20/0.48 [52] CLOSURE : ~big_r(a, b)
% 0.20/0.48
% 0.20/0.48 [35] GAMMA_FORALL : ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))
% 0.20/0.48 -> [37] (big_q(b, a) => big_q(b, b))
% 0.20/0.48
% 0.20/0.48 [37] BETA_IMPLY : (big_q(b, a) => big_q(b, b))
% 0.20/0.48 -> [40] ~big_q(b, a)
% 0.20/0.48 -> [41] big_q(b, b)
% 0.20/0.48
% 0.20/0.48 [41] CLOSURE : big_q(b, b)
% 0.20/0.48
% 0.20/0.48 [43] BETA_IMPLY : (big_r(a, b) => (big_r(b, a) & big_q(a, b)))
% 0.20/0.48 -> [50] ~big_r(a, b)
% 0.20/0.48 -> [51] (big_r(b, a) & big_q(a, b))
% 0.20/0.48
% 0.20/0.48 [50] CLOSURE : ~big_r(a, b)
% 0.20/0.48
% 0.20/0.48 [54] : ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))
% 0.20/0.48 -> [76] ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))
% 0.20/0.48
% 0.20/0.48 [76] GAMMA_FORALL : ! [U6_6, V7_7] : ((big_q(U6_6, V7_7) => big_q(U6_6, U6_6)))
% 0.20/0.48 -> [77] (big_q(b, V7_3_0) => big_q(b, b))
% 0.20/0.48
% 0.20/0.48 [77] BETA_IMPLY : (big_q(b, V7_3_0) => big_q(b, b))
% 0.20/0.48 -> [78] ~big_q(b, V7_3_0)
% 0.20/0.48 -> [79] big_q(b, b)
% 0.20/0.48
% 0.20/0.48 [79] CLOSURE : big_q(b, b)
% 0.20/0.48
% 0.20/0.48 [78] : ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))
% 0.20/0.48 -> [80] ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))
% 0.20/0.48
% 0.20/0.48 [80] GAMMA_FORALL : ! [X4_4, Y5_5] : ((big_r(X4_4, Y5_5) => (big_r(Y5_5, X4_4) & big_q(X4_4, Y5_5))))
% 0.20/0.48 -> [81] (big_r(b, a) => (big_r(a, b) & big_q(b, a)))
% 0.20/0.48
% 0.20/0.48 [81] BETA_IMPLY : (big_r(b, a) => (big_r(a, b) & big_q(b, a)))
% 0.20/0.48 -> [82] ~big_r(b, a)
% 0.20/0.48 -> [83] (big_r(a, b) & big_q(b, a))
% 0.20/0.48
% 0.20/0.48 [82] CLOSURE : ~big_r(b, a)
% 0.20/0.48
% 0.20/0.48 [84] CLOSURE : big_q(b, a)
% 0.20/0.48
% 0.20/0.48 % SZS output end Proof for theBenchmark.p
% 0.20/0.48 [0.137250s][1][Res] 268 goroutines created
% 0.20/0.48 ==== Result ====
% 0.20/0.48 [0.137287s][1][Res] VALID
% 0.20/0.48 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------