TSTP Solution File: SYN986+1.001 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n002.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 22:25:13 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n002.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 10:04:18 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 [0.000046s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Conjecture not found
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 3
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.37 nb_step : 2 - limit : 6
% 0.12/0.37 Launch Gotab with destructive = true
% 0.19/0.42 % SZS output start Proof for theBenchmark.p
% 0.19/0.42 [20] ALPHA_AND : ((! [Y5_5] : (r(Y5_5, zero, succ(Y5_5))) & ! [Y6_6, X7_7, Z8_8, Z19_9] : ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))) & ~? [Z110_10, Z011_11] : ((r(zero, zero, Z110_10) & r(zero, Z110_10, Z011_11))))
% 0.19/0.42 -> [21] (! [Y5_5] : (r(Y5_5, zero, succ(Y5_5))) & ! [Y6_6, X7_7, Z8_8, Z19_9] : ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))), ~? [Z110_10, Z011_11] : ((r(zero, zero, Z110_10) & r(zero, Z110_10, Z011_11)))
% 0.19/0.42
% 0.19/0.42 [21] ALPHA_AND : (! [Y5_5] : (r(Y5_5, zero, succ(Y5_5))) & ! [Y6_6, X7_7, Z8_8, Z19_9] : ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9)))))
% 0.19/0.42 -> [22] ! [Y5_5] : (r(Y5_5, zero, succ(Y5_5))), ! [Y6_6, X7_7, Z8_8, Z19_9] : ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))
% 0.19/0.42
% 0.19/0.42 [22] GAMMA_NOT_EXISTS : ~? [Z110_10, Z011_11] : ((r(zero, zero, Z110_10) & r(zero, Z110_10, Z011_11)))
% 0.19/0.42 -> [23] ~(r(zero, zero, succ(zero)) & r(zero, succ(zero), succ(succ(zero))))
% 0.19/0.42
% 0.19/0.42 [23] BETA_NOT_AND : ~(r(zero, zero, succ(zero)) & r(zero, succ(zero), succ(succ(zero))))
% 0.19/0.43 -> [24] ~r(zero, zero, succ(zero))
% 0.19/0.43 -> [25] ~r(zero, succ(zero), succ(succ(zero)))
% 0.19/0.43
% 0.19/0.43 [24] GAMMA_FORALL : ! [Y5_5] : (r(Y5_5, zero, succ(Y5_5)))
% 0.19/0.43 -> [26] r(Y5_0_1, zero, succ(Y5_0_1))
% 0.19/0.43
% 0.19/0.43 [26] CLOSURE : r(Y5_0_1, zero, succ(Y5_0_1))
% 0.19/0.43
% 0.19/0.43 [27] GAMMA_FORALL : ! [Y6_6, X7_7, Z8_8, Z19_9] : ((r(Y6_6, X7_7, Z8_8) => (r(Z8_8, X7_7, Z19_9) => r(Y6_6, succ(X7_7), Z19_9))))
% 0.19/0.43 -> [28] (r(zero, zero, succ(zero)) => (r(succ(zero), zero, succ(succ(zero))) => r(zero, succ(zero), succ(succ(zero)))))
% 0.19/0.43
% 0.19/0.43 [28] BETA_IMPLY : (r(zero, zero, succ(zero)) => (r(succ(zero), zero, succ(succ(zero))) => r(zero, succ(zero), succ(succ(zero)))))
% 0.19/0.43 -> [29] ~r(zero, zero, succ(zero))
% 0.19/0.43 -> [30] (r(succ(zero), zero, succ(succ(zero))) => r(zero, succ(zero), succ(succ(zero))))
% 0.19/0.43
% 0.19/0.43 [29] CLOSURE : ~r(zero, zero, succ(zero))
% 0.19/0.43
% 0.19/0.43 [30] BETA_IMPLY : (r(succ(zero), zero, succ(succ(zero))) => r(zero, succ(zero), succ(succ(zero))))
% 0.19/0.43 -> [33] ~r(succ(zero), zero, succ(succ(zero)))
% 0.19/0.43 -> [34] r(zero, succ(zero), succ(succ(zero)))
% 0.19/0.43
% 0.19/0.43 [34] CLOSURE : r(zero, succ(zero), succ(succ(zero)))
% 0.19/0.43
% 0.19/0.43 [36] BETA_NOT_AND : ~(r(zero, zero, succ(zero)) & r(zero, succ(zero), Z011_1_0))
% 0.19/0.43 -> [41] ~r(zero, zero, succ(zero))
% 0.19/0.43 -> [42] ~r(zero, succ(zero), Z011_1_0)
% 0.19/0.43
% 0.19/0.43 [41] CLOSURE : ~r(zero, zero, succ(zero))
% 0.19/0.43
% 0.19/0.43 [42] : ! [Y5_5] : (r(Y5_5, zero, succ(Y5_5)))
% 0.19/0.43 -> [43] ! [Y5_5] : (r(Y5_5, zero, succ(Y5_5)))
% 0.19/0.43
% 0.19/0.43 [43] GAMMA_FORALL : ! [Y5_5] : (r(Y5_5, zero, succ(Y5_5)))
% 0.19/0.43 -> [44] r(Y5_3_1, zero, succ(Y5_3_1))
% 0.19/0.43
% 0.19/0.43 [44] CLOSURE : r(Y5_3_1, zero, succ(Y5_3_1))
% 0.19/0.43
% 0.19/0.43 % SZS output end Proof for theBenchmark.p
% 0.19/0.43 [0.083383s][1][Res] 31 goroutines created
% 0.19/0.43 ==== Result ====
% 0.19/0.43 [0.083427s][1][Res] VALID
% 0.19/0.43 % SZS status Theorem for theBenchmark.p
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