TSTP Solution File: SYN373+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN373+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.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 22:23:14 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN373+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 02:52:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 3
% 0.12/0.35 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [0] BETA_NOT_EQUIV : ~(? [X1_1] : ((big_p(X1_1) => big_q(X1_1))) <=> (! [X2_2] : (big_p(X2_2)) => ? [X3_3] : (big_q(X3_3))))
% 0.12/0.35 -> [1] ~? [X1_1] : ((big_p(X1_1) => big_q(X1_1))), (! [X2_2] : (big_p(X2_2)) => ? [X3_3] : (big_q(X3_3)))
% 0.12/0.35 -> [2] ? [X1_1] : ((big_p(X1_1) => big_q(X1_1))), ~(! [X2_2] : (big_p(X2_2)) => ? [X3_3] : (big_q(X3_3)))
% 0.12/0.35
% 0.12/0.35 [1] BETA_IMPLY : (! [X2_2] : (big_p(X2_2)) => ? [X3_3] : (big_q(X3_3)))
% 0.12/0.35 -> [4] ~! [X2_2] : (big_p(X2_2))
% 0.12/0.35 -> [5] ? [X3_3] : (big_q(X3_3))
% 0.12/0.35
% 0.12/0.35 [5] DELTA_EXISTS : ? [X3_3] : (big_q(X3_3))
% 0.12/0.35 -> [9] big_q(skolem_X33)
% 0.12/0.35
% 0.12/0.35 [9] GAMMA_NOT_EXISTS : ~? [X1_1] : ((big_p(X1_1) => big_q(X1_1)))
% 0.12/0.35 -> [11] ~(big_p(X1_0_0) => big_q(X1_0_0))
% 0.12/0.35
% 0.12/0.35 [11] ALPHA_NOT_IMPLY : ~(big_p(X1_0_0) => big_q(X1_0_0))
% 0.12/0.35 -> [14] big_p(X1_0_0), ~big_q(X1_0_0)
% 0.12/0.35
% 0.12/0.35 [14] CLOSURE : ~big_q(X1_0_0)
% 0.12/0.35
% 0.12/0.35 [4] DELTA_NOT_FORALL : ~! [X2_2] : (big_p(X2_2))
% 0.12/0.35 -> [10] ~big_p(skolem_X22)
% 0.12/0.35
% 0.12/0.35 [10] GAMMA_NOT_EXISTS : ~? [X1_1] : ((big_p(X1_1) => big_q(X1_1)))
% 0.12/0.35 -> [12] ~(big_p(X1_1_0) => big_q(X1_1_0))
% 0.12/0.35
% 0.12/0.35 [12] ALPHA_NOT_IMPLY : ~(big_p(X1_1_0) => big_q(X1_1_0))
% 0.12/0.35 -> [16] big_p(X1_1_0), ~big_q(X1_1_0)
% 0.12/0.35
% 0.12/0.35 [16] CLOSURE : big_p(X1_1_0)
% 0.12/0.35
% 0.12/0.35 [2] ALPHA_NOT_IMPLY : ~(! [X2_2] : (big_p(X2_2)) => ? [X3_3] : (big_q(X3_3)))
% 0.12/0.35 -> [3] ! [X2_2] : (big_p(X2_2)), ~? [X3_3] : (big_q(X3_3))
% 0.12/0.35
% 0.12/0.35 [3] DELTA_EXISTS : ? [X1_1] : ((big_p(X1_1) => big_q(X1_1)))
% 0.12/0.35 -> [6] (big_p(skolem_X11) => big_q(skolem_X11))
% 0.12/0.35
% 0.12/0.35 [6] BETA_IMPLY : (big_p(skolem_X11) => big_q(skolem_X11))
% 0.12/0.35 -> [7] ~big_p(skolem_X11)
% 0.12/0.35 -> [8] big_q(skolem_X11)
% 0.12/0.35
% 0.12/0.35 [7] GAMMA_FORALL : ! [X2_2] : (big_p(X2_2))
% 0.12/0.35 -> [15] big_p(X2_1_0)
% 0.12/0.35
% 0.12/0.35 [15] CLOSURE : big_p(X2_1_0)
% 0.12/0.35
% 0.12/0.35 [8] GAMMA_FORALL : ! [X2_2] : (big_p(X2_2))
% 0.12/0.35 -> [13] big_p(X2_0_0)
% 0.12/0.35
% 0.12/0.35 [13] GAMMA_NOT_EXISTS : ~? [X3_3] : (big_q(X3_3))
% 0.12/0.35 -> [17] ~big_q(X3_0_1)
% 0.12/0.35
% 0.12/0.35 [17] CLOSURE : ~big_q(X3_0_1)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.007352s][1][Res] 17 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.007384s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
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