TSTP Solution File: SYN349+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n028.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 22:23:06 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.32 % Computer : n028.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon Sep 5 02:56:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 [DMT] DMT loaded with preskolemization
% 0.13/0.33 [EQ] equality loaded.
% 0.13/0.33 [0.000049s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.33 Start search
% 0.13/0.33 nb_step : 1 - limit : 4
% 0.13/0.33 Launch Gotab with destructive = true
% 0.13/0.36 % SZS output start Proof for theBenchmark.p
% 0.13/0.36 [0] GAMMA_NOT_EXISTS : ~? [X14_4] : (! [X25_5] : (? [X36_6] : (! [X47_7] : (((big_f(X14_4, X47_7) <=> big_f(X25_5, X47_7)) => (((big_f(X14_4, X47_7) <=> big_f(X47_7, X36_6)) <=> big_f(X36_6, X47_7)) <=> big_f(X47_7, X25_5)))))))
% 0.13/0.36 -> [1] ~! [X25_5] : (? [X36_6] : (! [X47_7] : (((big_f(X14_0_0, X47_7) <=> big_f(X25_5, X47_7)) => (((big_f(X14_0_0, X47_7) <=> big_f(X47_7, X36_6)) <=> big_f(X36_6, X47_7)) <=> big_f(X47_7, X25_5))))))
% 0.13/0.36
% 0.13/0.36 [1] DELTA_NOT_FORALL : ~! [X25_5] : (? [X36_6] : (! [X47_7] : (((big_f(X14_0_0, X47_7) <=> big_f(X25_5, X47_7)) => (((big_f(X14_0_0, X47_7) <=> big_f(X47_7, X36_6)) <=> big_f(X36_6, X47_7)) <=> big_f(X47_7, X25_5))))))
% 0.13/0.36 -> [2] ~? [X36_6] : (! [X47_7] : (((big_f(X14_0_0, X47_7) <=> big_f(skolem_X255(X14_0_0), X47_7)) => (((big_f(X14_0_0, X47_7) <=> big_f(X47_7, X36_6)) <=> big_f(X36_6, X47_7)) <=> big_f(X47_7, skolem_X255(X14_0_0))))))
% 0.13/0.36
% 0.13/0.36 [2] GAMMA_NOT_EXISTS : ~? [X36_6] : (! [X47_7] : (((big_f(X14_0_0, X47_7) <=> big_f(skolem_X255(X14_0_0), X47_7)) => (((big_f(X14_0_0, X47_7) <=> big_f(X47_7, X36_6)) <=> big_f(X36_6, X47_7)) <=> big_f(X47_7, skolem_X255(X14_0_0))))))
% 0.13/0.36 -> [3] ~! [X47_7] : (((big_f(X14_0_0, X47_7) <=> big_f(skolem_X255(X14_0_0), X47_7)) => (((big_f(X14_0_0, X47_7) <=> big_f(X47_7, skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), X47_7)) <=> big_f(X47_7, skolem_X255(X14_0_0)))))
% 0.13/0.36
% 0.13/0.36 [3] DELTA_NOT_FORALL : ~! [X47_7] : (((big_f(X14_0_0, X47_7) <=> big_f(skolem_X255(X14_0_0), X47_7)) => (((big_f(X14_0_0, X47_7) <=> big_f(X47_7, skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), X47_7)) <=> big_f(X47_7, skolem_X255(X14_0_0)))))
% 0.13/0.36 -> [4] ~((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) => (((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))))
% 0.13/0.36
% 0.13/0.36 [4] ALPHA_NOT_IMPLY : ~((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) => (((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))))
% 0.13/0.36 -> [5] (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))), ~(((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [5] BETA_EQUIV : (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0))))
% 0.13/0.36 -> [6] ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36 -> [7] big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [7] BETA_NOT_EQUIV : ~(((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36 -> [10] ~((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))), big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36 -> [11] ((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))), ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [11] BETA_EQUIV : ((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0))))
% 0.13/0.36 -> [14] ~(big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36 -> [15] (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [14] CLOSURE : ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [15] BETA_EQUIV : (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36 -> [22] ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36 -> [23] big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [23] CLOSURE : big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [22] CLOSURE : ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [10] BETA_NOT_EQUIV : ~((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0))))
% 0.13/0.36 -> [12] ~(big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36 -> [13] (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [13] CLOSURE : ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [12] BETA_NOT_EQUIV : ~(big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36 -> [20] ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36 -> [21] big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [20] CLOSURE : ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [21] CLOSURE : ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [6] BETA_NOT_EQUIV : ~(((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36 -> [8] ~((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))), big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36 -> [9] ((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))), ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [9] BETA_EQUIV : ((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0))))
% 0.13/0.36 -> [16] ~(big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36 -> [17] (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [17] CLOSURE : big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [16] BETA_NOT_EQUIV : ~(big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36 -> [24] ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36 -> [25] big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [24] CLOSURE : big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [25] CLOSURE : big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [8] BETA_NOT_EQUIV : ~((big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))) <=> big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0))))
% 0.13/0.36 -> [18] ~(big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36 -> [19] (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))), ~big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [18] CLOSURE : big_f(skolem_X255(X14_0_0), skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 [19] BETA_EQUIV : (big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))) <=> big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0)))
% 0.13/0.36 -> [26] ~big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36 -> [27] big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0))), big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [26] CLOSURE : ~big_f(skolem_X477(X14_0_0, skolem_X255(X14_0_0)), skolem_X255(X14_0_0))
% 0.13/0.36
% 0.13/0.36 [27] CLOSURE : big_f(X14_0_0, skolem_X477(X14_0_0, skolem_X255(X14_0_0)))
% 0.13/0.36
% 0.13/0.36 % SZS output end Proof for theBenchmark.p
% 0.13/0.36 [0.026953s][1][Res] 71 goroutines created
% 0.13/0.36 ==== Result ====
% 0.13/0.36 [0.026984s][1][Res] VALID
% 0.13/0.36 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------