TSTP Solution File: SYN361+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n001.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 22:23:11 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN361+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Sep 5 03:15:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 [DMT] DMT loaded with preskolemization
% 0.13/0.36 [EQ] equality loaded.
% 0.13/0.36 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.36 Start search
% 0.13/0.36 nb_step : 1 - limit : 6
% 0.13/0.36 Launch Gotab with destructive = true
% 0.13/0.38 % SZS output start Proof for theBenchmark.p
% 0.13/0.38 [0] ALPHA_NOT_IMPLY : ~(((? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4))) & ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6))))) & ! [X8_8, Y9_9] : ((big_p(X8_8, Y9_9) => ~big_q(X8_8, Y9_9)))) => ? [U10_10] : (~big_s(U10_10)))
% 0.13/0.38 -> [1] ((? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4))) & ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6))))) & ! [X8_8, Y9_9] : ((big_p(X8_8, Y9_9) => ~big_q(X8_8, Y9_9)))), ~? [U10_10] : (~big_s(U10_10))
% 0.13/0.38
% 0.13/0.38 [1] ALPHA_AND : ((? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4))) & ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6))))) & ! [X8_8, Y9_9] : ((big_p(X8_8, Y9_9) => ~big_q(X8_8, Y9_9))))
% 0.13/0.38 -> [2] (? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4))) & ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6))))), ! [X8_8, Y9_9] : ((big_p(X8_8, Y9_9) => ~big_q(X8_8, Y9_9)))
% 0.13/0.38
% 0.13/0.38 [2] ALPHA_AND : (? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4))) & ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6)))))
% 0.13/0.38 -> [3] ? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4))), ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6))))
% 0.13/0.38
% 0.13/0.38 [3] DELTA_EXISTS : ? [V4_4] : (! [X5_5] : (big_p(X5_5, V4_4)))
% 0.13/0.38 -> [4] ! [X5_5] : (big_p(X5_5, skolem_V44))
% 0.13/0.38
% 0.13/0.38 [4] GAMMA_NOT_EXISTS : ~? [U10_10] : (~big_s(U10_10))
% 0.13/0.38 -> [5] ~~big_s(skolem_V44)
% 0.13/0.38
% 0.13/0.38 [5] ALPHA_NOT_NOT : ~~big_s(skolem_V44)
% 0.13/0.38 -> [6] big_s(skolem_V44)
% 0.13/0.38
% 0.13/0.38 [6] GAMMA_FORALL : ! [X8_8, Y9_9] : ((big_p(X8_8, Y9_9) => ~big_q(X8_8, Y9_9)))
% 0.13/0.38 -> [7] (big_p(skolem_Y77(skolem_V44), skolem_V44) => ~big_q(skolem_Y77(skolem_V44), skolem_V44))
% 0.13/0.38
% 0.13/0.38 [7] BETA_IMPLY : (big_p(skolem_Y77(skolem_V44), skolem_V44) => ~big_q(skolem_Y77(skolem_V44), skolem_V44))
% 0.13/0.38 -> [8] ~big_p(skolem_Y77(skolem_V44), skolem_V44)
% 0.13/0.38 -> [9] ~big_q(skolem_Y77(skolem_V44), skolem_V44)
% 0.13/0.38
% 0.13/0.38 [9] GAMMA_FORALL : ! [X6_6] : ((big_s(X6_6) => ? [Y7_7] : (big_q(Y7_7, X6_6))))
% 0.13/0.38 -> [11] (big_s(skolem_V44) => ? [Y7_7] : (big_q(Y7_7, skolem_V44)))
% 0.13/0.38
% 0.13/0.38 [11] BETA_IMPLY : (big_s(skolem_V44) => ? [Y7_7] : (big_q(Y7_7, skolem_V44)))
% 0.13/0.38 -> [14] ~big_s(skolem_V44)
% 0.13/0.38 -> [15] ? [Y7_7] : (big_q(Y7_7, skolem_V44))
% 0.13/0.38
% 0.13/0.38 [15] DELTA_EXISTS : ? [Y7_7] : (big_q(Y7_7, skolem_V44))
% 0.13/0.38 -> [16] big_q(skolem_Y77(skolem_V44), skolem_V44)
% 0.13/0.38
% 0.13/0.38 [16] CLOSURE : big_q(skolem_Y77(skolem_V44), skolem_V44)
% 0.13/0.38
% 0.13/0.38 [14] CLOSURE : ~big_s(skolem_V44)
% 0.13/0.38
% 0.13/0.38 [10] BETA_IMPLY : (big_s(skolem_V44) => ? [Y7_7] : (big_q(Y7_7, skolem_V44)))
% 0.13/0.38 -> [19] ~big_s(skolem_V44)
% 0.13/0.38 -> [20] ? [Y7_7] : (big_q(Y7_7, skolem_V44))
% 0.13/0.38
% 0.13/0.38 [20] DELTA_EXISTS : ? [Y7_7] : (big_q(Y7_7, skolem_V44))
% 0.13/0.38 -> [21] big_q(skolem_Y77(skolem_V44), skolem_V44)
% 0.13/0.38
% 0.13/0.38 [21] GAMMA_FORALL : ! [X5_5] : (big_p(X5_5, skolem_V44))
% 0.13/0.38 -> [22] big_p(X5_1_3, skolem_V44)
% 0.13/0.38
% 0.13/0.38 [22] CLOSURE : big_p(X5_1_3, skolem_V44)
% 0.13/0.38
% 0.13/0.38 [19] CLOSURE : ~big_s(skolem_V44)
% 0.13/0.38
% 0.13/0.38 % SZS output end Proof for theBenchmark.p
% 0.13/0.38 [0.025955s][1][Res] 29 goroutines created
% 0.13/0.38 ==== Result ====
% 0.13/0.38 [0.025987s][1][Res] VALID
% 0.13/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------