TSTP Solution File: SYN360+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n022.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 22:23:10 EDT 2022
% Result : Theorem 0.19s 0.35s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN360+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 02:55:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 6
% 0.13/0.35 Launch Gotab with destructive = true
% 0.19/0.35 % SZS output start Proof for theBenchmark.p
% 0.19/0.35 [0] ALPHA_NOT_IMPLY : ~((! [X3_3] : ((? [Y4_4] : (big_p(X3_3, Y4_4)) => ! [Y5_5] : (big_q(X3_3, Y5_5)))) & ! [Z6_6] : (? [Y7_7] : (big_p(Z6_6, Y7_7)))) => ! [Y8_8, X9_9] : (big_q(X9_9, Y8_8)))
% 0.19/0.35 -> [1] (! [X3_3] : ((? [Y4_4] : (big_p(X3_3, Y4_4)) => ! [Y5_5] : (big_q(X3_3, Y5_5)))) & ! [Z6_6] : (? [Y7_7] : (big_p(Z6_6, Y7_7)))), ~! [Y8_8, X9_9] : (big_q(X9_9, Y8_8))
% 0.19/0.35
% 0.19/0.35 [1] ALPHA_AND : (! [X3_3] : ((? [Y4_4] : (big_p(X3_3, Y4_4)) => ! [Y5_5] : (big_q(X3_3, Y5_5)))) & ! [Z6_6] : (? [Y7_7] : (big_p(Z6_6, Y7_7))))
% 0.19/0.35 -> [2] ! [X3_3] : ((? [Y4_4] : (big_p(X3_3, Y4_4)) => ! [Y5_5] : (big_q(X3_3, Y5_5)))), ! [Z6_6] : (? [Y7_7] : (big_p(Z6_6, Y7_7)))
% 0.19/0.35
% 0.19/0.35 [2] DELTA_NOT_FORALL : ~! [Y8_8, X9_9] : (big_q(X9_9, Y8_8))
% 0.19/0.35 -> [3] ~big_q(skolem_X99, skolem_Y88)
% 0.19/0.35
% 0.19/0.35 [3] GAMMA_FORALL : ! [X3_3] : ((? [Y4_4] : (big_p(X3_3, Y4_4)) => ! [Y5_5] : (big_q(X3_3, Y5_5))))
% 0.19/0.35 -> [4] (? [Y4_4] : (big_p(skolem_X99, Y4_4)) => ! [Y5_5] : (big_q(skolem_X99, Y5_5)))
% 0.19/0.35
% 0.19/0.35 [4] BETA_IMPLY : (? [Y4_4] : (big_p(skolem_X99, Y4_4)) => ! [Y5_5] : (big_q(skolem_X99, Y5_5)))
% 0.19/0.35 -> [5] ~? [Y4_4] : (big_p(skolem_X99, Y4_4))
% 0.19/0.35 -> [6] ! [Y5_5] : (big_q(skolem_X99, Y5_5))
% 0.19/0.35
% 0.19/0.35 [5] GAMMA_FORALL : ! [Z6_6] : (? [Y7_7] : (big_p(Z6_6, Y7_7)))
% 0.19/0.35 -> [7] ? [Y7_7] : (big_p(Z6_0_1, Y7_7))
% 0.19/0.35
% 0.19/0.35 [7] DELTA_EXISTS : ? [Y7_7] : (big_p(Z6_0_1, Y7_7))
% 0.19/0.35 -> [9] big_p(Z6_0_1, skolem_Y77(Z6_0_1))
% 0.19/0.35
% 0.19/0.35 [9] GAMMA_NOT_EXISTS : ~? [Y4_4] : (big_p(skolem_X99, Y4_4))
% 0.19/0.35 -> [11] ~big_p(skolem_X99, Y4_0_2)
% 0.19/0.35
% 0.19/0.35 [11] CLOSURE : ~big_p(skolem_X99, Y4_0_2)
% 0.19/0.35
% 0.19/0.35 [6] GAMMA_FORALL : ! [Z6_6] : (? [Y7_7] : (big_p(Z6_6, Y7_7)))
% 0.19/0.35 -> [8] ? [Y7_7] : (big_p(Z6_1_1, Y7_7))
% 0.19/0.35
% 0.19/0.35 [8] DELTA_EXISTS : ? [Y7_7] : (big_p(Z6_1_1, Y7_7))
% 0.19/0.35 -> [10] big_p(Z6_1_1, skolem_Y77(Z6_1_1))
% 0.19/0.35
% 0.19/0.35 [10] GAMMA_FORALL : ! [Y5_5] : (big_q(skolem_X99, Y5_5))
% 0.19/0.35 -> [12] big_q(skolem_X99, Y5_0_2)
% 0.19/0.35
% 0.19/0.35 [12] CLOSURE : big_q(skolem_X99, Y5_0_2)
% 0.19/0.35
% 0.19/0.35 % SZS output end Proof for theBenchmark.p
% 0.19/0.35 [0.007073s][1][Res] 5 goroutines created
% 0.19/0.35 ==== Result ====
% 0.19/0.35 [0.007105s][1][Res] VALID
% 0.19/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------