TSTP Solution File: SYN078+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n005.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 22:22:21 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Sep 5 01:38:33 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.33 Start search
% 0.12/0.33 nb_step : 1 - limit : 3
% 0.12/0.33 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [0] BETA_NOT_EQUIV : ~(! [X3_3] : ((? [Y4_4] : ((big_p(Y4_4) & =(X3_3, f(Y4_4)))) => big_p(X3_3))) <=> ! [U5_5] : ((big_p(U5_5) => big_p(f(U5_5)))))
% 0.12/0.35 -> [1] ~! [X3_3] : ((? [Y4_4] : ((big_p(Y4_4) & =(X3_3, f(Y4_4)))) => big_p(X3_3))), ! [U5_5] : ((big_p(U5_5) => big_p(f(U5_5))))
% 0.12/0.35 -> [2] ! [X3_3] : ((? [Y4_4] : ((big_p(Y4_4) & =(X3_3, f(Y4_4)))) => big_p(X3_3))), ~! [U5_5] : ((big_p(U5_5) => big_p(f(U5_5))))
% 0.12/0.35
% 0.12/0.35 [2] DELTA_NOT_FORALL : ~! [U5_5] : ((big_p(U5_5) => big_p(f(U5_5))))
% 0.12/0.35 -> [3] ~(big_p(skolem_U55) => big_p(f(skolem_U55)))
% 0.12/0.35
% 0.12/0.35 [3] ALPHA_NOT_IMPLY : ~(big_p(skolem_U55) => big_p(f(skolem_U55)))
% 0.12/0.35 -> [4] big_p(skolem_U55), ~big_p(f(skolem_U55))
% 0.12/0.35
% 0.12/0.35 [4] GAMMA_FORALL : ! [X3_3] : ((? [Y4_4] : ((big_p(Y4_4) & =(X3_3, f(Y4_4)))) => big_p(X3_3)))
% 0.12/0.35 -> [7] (? [Y4_4] : ((big_p(Y4_4) & =(f(skolem_U55), f(Y4_4)))) => big_p(f(skolem_U55)))
% 0.12/0.35
% 0.12/0.35 [7] BETA_IMPLY : (? [Y4_4] : ((big_p(Y4_4) & =(f(skolem_U55), f(Y4_4)))) => big_p(f(skolem_U55)))
% 0.12/0.35 -> [10] ~? [Y4_4] : ((big_p(Y4_4) & =(f(skolem_U55), f(Y4_4))))
% 0.12/0.35 -> [11] big_p(f(skolem_U55))
% 0.12/0.35
% 0.12/0.35 [11] CLOSURE : big_p(f(skolem_U55))
% 0.12/0.35
% 0.12/0.35 [10] GAMMA_NOT_EXISTS : ~? [Y4_4] : ((big_p(Y4_4) & =(f(skolem_U55), f(Y4_4))))
% 0.12/0.35 -> [12] ~(big_p(skolem_U55) & =(f(skolem_U55), f(skolem_U55)))
% 0.12/0.35
% 0.12/0.35 [12] BETA_NOT_AND : ~(big_p(skolem_U55) & =(f(skolem_U55), f(skolem_U55)))
% 0.12/0.35 -> [13] ~big_p(skolem_U55)
% 0.12/0.35 -> [14] ~=(f(skolem_U55), f(skolem_U55))
% 0.12/0.35
% 0.12/0.35 [13] CLOSURE : ~big_p(skolem_U55)
% 0.12/0.35
% 0.12/0.35 [14] CLOSURE : ~=(f(skolem_U55), f(skolem_U55))
% 0.12/0.35
% 0.12/0.35 [1] DELTA_NOT_FORALL : ~! [X3_3] : ((? [Y4_4] : ((big_p(Y4_4) & =(X3_3, f(Y4_4)))) => big_p(X3_3)))
% 0.12/0.35 -> [5] ~(? [Y4_4] : ((big_p(Y4_4) & =(skolem_X33, f(Y4_4)))) => big_p(skolem_X33))
% 0.12/0.35
% 0.12/0.35 [5] ALPHA_NOT_IMPLY : ~(? [Y4_4] : ((big_p(Y4_4) & =(skolem_X33, f(Y4_4)))) => big_p(skolem_X33))
% 0.12/0.35 -> [6] ? [Y4_4] : ((big_p(Y4_4) & =(skolem_X33, f(Y4_4)))), ~big_p(skolem_X33)
% 0.12/0.35
% 0.12/0.35 [6] DELTA_EXISTS : ? [Y4_4] : ((big_p(Y4_4) & =(skolem_X33, f(Y4_4))))
% 0.12/0.35 -> [8] (big_p(skolem_Y44) & =(skolem_X33, f(skolem_Y44)))
% 0.12/0.35
% 0.12/0.35 [8] ALPHA_AND : (big_p(skolem_Y44) & =(skolem_X33, f(skolem_Y44)))
% 0.12/0.35 -> [9] big_p(skolem_Y44), =(skolem_X33, f(skolem_Y44))
% 0.12/0.35
% 0.12/0.35 [9] GAMMA_FORALL : ! [U5_5] : ((big_p(U5_5) => big_p(f(U5_5))))
% 0.12/0.35 -> [15] (big_p(skolem_Y44) => big_p(f(skolem_Y44)))
% 0.12/0.35
% 0.12/0.35 [15] BETA_IMPLY : (big_p(skolem_Y44) => big_p(f(skolem_Y44)))
% 0.12/0.35 -> [16] ~big_p(skolem_Y44)
% 0.12/0.35 -> [17] big_p(f(skolem_Y44))
% 0.12/0.35
% 0.12/0.35 [16] CLOSURE : =
% 0.12/0.35
% 0.12/0.35 [17] CLOSURE : =
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.020393s][1][Res] 74 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.020429s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
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