TSTP Solution File: SYN381+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN381+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.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 22:23:16 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN381+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Sep 5 03:09:46 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 [DMT] DMT loaded with preskolemization
% 0.14/0.35 [EQ] equality loaded.
% 0.14/0.35 [0.000041s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.35 Start search
% 0.14/0.35 nb_step : 1 - limit : 6
% 0.14/0.35 Launch Gotab with destructive = true
% 0.14/0.38 % SZS output start Proof for theBenchmark.p
% 0.14/0.38 [0] ALPHA_NOT_IMPLY : ~(((! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6))) & ! [V8_8] : (? [U9_9] : (big_q(U9_9, V8_8)))) & ! [W10_10, Z11_11] : ((big_q(W10_10, Z11_11) => (big_q(Z11_11, W10_10) | big_q(Z11_11, Z11_11))))) => ! [Z12_12] : (big_p(Z12_12)))
% 0.14/0.38 -> [1] ((! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6))) & ! [V8_8] : (? [U9_9] : (big_q(U9_9, V8_8)))) & ! [W10_10, Z11_11] : ((big_q(W10_10, Z11_11) => (big_q(Z11_11, W10_10) | big_q(Z11_11, Z11_11))))), ~! [Z12_12] : (big_p(Z12_12))
% 0.14/0.38
% 0.14/0.38 [1] ALPHA_AND : ((! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6))) & ! [V8_8] : (? [U9_9] : (big_q(U9_9, V8_8)))) & ! [W10_10, Z11_11] : ((big_q(W10_10, Z11_11) => (big_q(Z11_11, W10_10) | big_q(Z11_11, Z11_11)))))
% 0.14/0.38 -> [2] (! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6))) & ! [V8_8] : (? [U9_9] : (big_q(U9_9, V8_8)))), ! [W10_10, Z11_11] : ((big_q(W10_10, Z11_11) => (big_q(Z11_11, W10_10) | big_q(Z11_11, Z11_11))))
% 0.14/0.38
% 0.14/0.38 [2] ALPHA_AND : (! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6))) & ! [V8_8] : (? [U9_9] : (big_q(U9_9, V8_8))))
% 0.14/0.38 -> [3] ! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6))), ! [V8_8] : (? [U9_9] : (big_q(U9_9, V8_8)))
% 0.14/0.38
% 0.14/0.38 [3] DELTA_NOT_FORALL : ~! [Z12_12] : (big_p(Z12_12))
% 0.14/0.38 -> [4] ~big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [4] GAMMA_FORALL : ! [W10_10, Z11_11] : ((big_q(W10_10, Z11_11) => (big_q(Z11_11, W10_10) | big_q(Z11_11, Z11_11))))
% 0.14/0.38 -> [5] (big_q(skolem_U99(skolem_Z1212), skolem_Z1212) => (big_q(skolem_Z1212, skolem_U99(skolem_Z1212)) | big_q(skolem_Z1212, skolem_Z1212)))
% 0.14/0.38
% 0.14/0.38 [5] BETA_IMPLY : (big_q(skolem_U99(skolem_Z1212), skolem_Z1212) => (big_q(skolem_Z1212, skolem_U99(skolem_Z1212)) | big_q(skolem_Z1212, skolem_Z1212)))
% 0.14/0.38 -> [6] ~big_q(skolem_U99(skolem_Z1212), skolem_Z1212)
% 0.14/0.38 -> [7] (big_q(skolem_Z1212, skolem_U99(skolem_Z1212)) | big_q(skolem_Z1212, skolem_Z1212))
% 0.14/0.38
% 0.14/0.38 [6] GAMMA_FORALL : ! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6)))
% 0.14/0.38 -> [10] (? [Y7_7] : (big_q(skolem_Z1212, Y7_7)) => big_p(skolem_Z1212))
% 0.14/0.38
% 0.14/0.38 [10] BETA_IMPLY : (? [Y7_7] : (big_q(skolem_Z1212, Y7_7)) => big_p(skolem_Z1212))
% 0.14/0.38 -> [11] ~? [Y7_7] : (big_q(skolem_Z1212, Y7_7))
% 0.14/0.38 -> [12] big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [12] CLOSURE : big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [20] CLOSURE : big_q(skolem_U99(skolem_Z1212), skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [7] BETA_OR : (big_q(skolem_Z1212, skolem_U99(skolem_Z1212)) | big_q(skolem_Z1212, skolem_Z1212))
% 0.14/0.38 -> [27] big_q(skolem_Z1212, skolem_U99(skolem_Z1212))
% 0.14/0.38 -> [28] big_q(skolem_Z1212, skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [28] GAMMA_FORALL : ! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6)))
% 0.14/0.38 -> [29] (? [Y7_7] : (big_q(skolem_Z1212, Y7_7)) => big_p(skolem_Z1212))
% 0.14/0.38
% 0.14/0.38 [29] BETA_IMPLY : (? [Y7_7] : (big_q(skolem_Z1212, Y7_7)) => big_p(skolem_Z1212))
% 0.14/0.38 -> [31] ~? [Y7_7] : (big_q(skolem_Z1212, Y7_7))
% 0.14/0.38 -> [32] big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [32] CLOSURE : big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [39] CLOSURE : ~big_q(skolem_Z1212, skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [27] GAMMA_FORALL : ! [X6_6] : ((? [Y7_7] : (big_q(X6_6, Y7_7)) => big_p(X6_6)))
% 0.14/0.38 -> [30] (? [Y7_7] : (big_q(skolem_Z1212, Y7_7)) => big_p(skolem_Z1212))
% 0.14/0.38
% 0.14/0.38 [30] BETA_IMPLY : (? [Y7_7] : (big_q(skolem_Z1212, Y7_7)) => big_p(skolem_Z1212))
% 0.14/0.38 -> [33] ~? [Y7_7] : (big_q(skolem_Z1212, Y7_7))
% 0.14/0.38 -> [34] big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [34] CLOSURE : big_p(skolem_Z1212)
% 0.14/0.38
% 0.14/0.38 [40] CLOSURE : ~big_q(skolem_Z1212, skolem_U99(skolem_Z1212))
% 0.14/0.38
% 0.14/0.38 % SZS output end Proof for theBenchmark.p
% 0.14/0.38 [0.031186s][1][Res] 53 goroutines created
% 0.14/0.38 ==== Result ====
% 0.14/0.38 [0.031220s][1][Res] VALID
% 0.14/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------