TSTP Solution File: SYN413+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n015.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 22:23:25 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n015.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 03:23:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 5
% 0.13/0.34 Launch Gotab with destructive = true
% 0.20/0.42 % SZS output start Proof for theBenchmark.p
% 0.20/0.42 [0] ALPHA_NOT_IMPLY : ~(! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7)))))) => ~? [V8_8] : (! [U9_9] : (f(U9_9, V8_8))))
% 0.20/0.42 -> [1] ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7)))))), ~~? [V8_8] : (! [U9_9] : (f(U9_9, V8_8)))
% 0.20/0.42
% 0.20/0.42 [1] ALPHA_NOT_NOT : ~~? [V8_8] : (! [U9_9] : (f(U9_9, V8_8)))
% 0.20/0.42 -> [2] ? [V8_8] : (! [U9_9] : (f(U9_9, V8_8)))
% 0.20/0.42
% 0.20/0.42 [2] DELTA_EXISTS : ? [V8_8] : (! [U9_9] : (f(U9_9, V8_8)))
% 0.20/0.42 -> [3] ! [U9_9] : (f(U9_9, skolem_V88))
% 0.20/0.42
% 0.20/0.42 [3] GAMMA_FORALL : ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42 -> [4] ? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, skolem_Y66(Z5_1_0)) & ~f(X7_7, X7_7)))))
% 0.20/0.42
% 0.20/0.42 [4] DELTA_EXISTS : ? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, skolem_Y66(Z5_1_0)) & ~f(X7_7, X7_7)))))
% 0.20/0.42 -> [5] ! [X7_7] : ((f(X7_7, skolem_Y66(skolem_Y66(Z5_1_0))) <=> (f(X7_7, skolem_Y66(Z5_1_0)) & ~f(X7_7, X7_7))))
% 0.20/0.42
% 0.20/0.42 [5] GAMMA_FORALL : ! [U9_9] : (f(U9_9, skolem_V88))
% 0.20/0.42 -> [6] f(skolem_Y66(skolem_V88), skolem_V88)
% 0.20/0.42
% 0.20/0.42 [6] GAMMA_FORALL : ! [X7_7] : ((f(X7_7, skolem_Y66(skolem_Y66(Z5_1_0))) <=> (f(X7_7, skolem_Y66(Z5_1_0)) & ~f(X7_7, X7_7))))
% 0.20/0.42 -> [7] (f(skolem_Y66(Z5_1_0), skolem_Y66(skolem_Y66(Z5_1_0))) <=> (f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))))
% 0.20/0.42
% 0.20/0.42 [7] BETA_EQUIV : (f(skolem_Y66(Z5_1_0), skolem_Y66(skolem_Y66(Z5_1_0))) <=> (f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))))
% 0.20/0.42 -> [8] ~f(skolem_Y66(Z5_1_0), skolem_Y66(skolem_Y66(Z5_1_0))), ~(f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42 -> [9] f(skolem_Y66(Z5_1_0), skolem_Y66(skolem_Y66(Z5_1_0))), (f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42
% 0.20/0.42 [9] ALPHA_AND : (f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42 -> [12] f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)), ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [12] CLOSURE : ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [8] BETA_NOT_AND : ~(f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42 -> [14] ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42 -> [15] ~~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [15] ALPHA_NOT_NOT : ~~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42 -> [16] f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [16] ALPHA_NOT_NOT : ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42 -> [17] ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42
% 0.20/0.42 [17] GAMMA_FORALL : ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42 -> [18] ? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_1_0) & ~f(X7_7, X7_7)))))
% 0.20/0.42
% 0.20/0.42 [18] DELTA_EXISTS : ? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_1_0) & ~f(X7_7, X7_7)))))
% 0.20/0.42 -> [19] ! [X7_7] : ((f(X7_7, skolem_Y66(Z5_1_0)) <=> (f(X7_7, Z5_1_0) & ~f(X7_7, X7_7))))
% 0.20/0.42
% 0.20/0.42 [19] GAMMA_FORALL : ! [X7_7] : ((f(X7_7, skolem_Y66(Z5_1_0)) <=> (f(X7_7, Z5_1_0) & ~f(X7_7, X7_7))))
% 0.20/0.42 -> [20] (f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) <=> (f(skolem_Y66(Z5_1_0), Z5_1_0) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))))
% 0.20/0.42
% 0.20/0.42 [20] BETA_EQUIV : (f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)) <=> (f(skolem_Y66(Z5_1_0), Z5_1_0) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))))
% 0.20/0.42 -> [21] ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)), ~(f(skolem_Y66(Z5_1_0), Z5_1_0) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42 -> [22] f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)), (f(skolem_Y66(Z5_1_0), Z5_1_0) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42
% 0.20/0.42 [22] ALPHA_AND : (f(skolem_Y66(Z5_1_0), Z5_1_0) & ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0)))
% 0.20/0.42 -> [23] f(skolem_Y66(Z5_1_0), Z5_1_0), ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [23] CLOSURE : ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [21] CLOSURE : ~f(skolem_Y66(Z5_1_0), skolem_Y66(Z5_1_0))
% 0.20/0.42
% 0.20/0.42 [14] : ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42 -> [30] ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42
% 0.20/0.42 [30] GAMMA_FORALL : ! [Z5_5] : (? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, Z5_5) & ~f(X7_7, X7_7))))))
% 0.20/0.42 -> [31] ? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, skolem_V88) & ~f(X7_7, X7_7)))))
% 0.20/0.42
% 0.20/0.42 [31] DELTA_EXISTS : ? [Y6_6] : (! [X7_7] : ((f(X7_7, Y6_6) <=> (f(X7_7, skolem_V88) & ~f(X7_7, X7_7)))))
% 0.20/0.42 -> [32] ! [X7_7] : ((f(X7_7, skolem_Y66(skolem_V88)) <=> (f(X7_7, skolem_V88) & ~f(X7_7, X7_7))))
% 0.20/0.42
% 0.20/0.42 [32] GAMMA_FORALL : ! [X7_7] : ((f(X7_7, skolem_Y66(skolem_V88)) <=> (f(X7_7, skolem_V88) & ~f(X7_7, X7_7))))
% 0.20/0.42 -> [33] (f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)) <=> (f(skolem_Y66(skolem_V88), skolem_V88) & ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))))
% 0.20/0.42
% 0.20/0.42 [33] BETA_EQUIV : (f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)) <=> (f(skolem_Y66(skolem_V88), skolem_V88) & ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))))
% 0.20/0.42 -> [34] ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)), ~(f(skolem_Y66(skolem_V88), skolem_V88) & ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)))
% 0.20/0.42 -> [35] f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)), (f(skolem_Y66(skolem_V88), skolem_V88) & ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)))
% 0.20/0.42
% 0.20/0.42 [35] ALPHA_AND : (f(skolem_Y66(skolem_V88), skolem_V88) & ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)))
% 0.20/0.42 -> [38] f(skolem_Y66(skolem_V88), skolem_V88), ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))
% 0.20/0.42
% 0.20/0.42 [38] CLOSURE : ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))
% 0.20/0.42
% 0.20/0.42 [34] BETA_NOT_AND : ~(f(skolem_Y66(skolem_V88), skolem_V88) & ~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88)))
% 0.20/0.42 -> [49] ~f(skolem_Y66(skolem_V88), skolem_V88)
% 0.20/0.42 -> [50] ~~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))
% 0.20/0.42
% 0.20/0.42 [49] CLOSURE : ~f(skolem_Y66(skolem_V88), skolem_V88)
% 0.20/0.42
% 0.20/0.42 [50] ALPHA_NOT_NOT : ~~f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))
% 0.20/0.42 -> [51] f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))
% 0.20/0.42
% 0.20/0.42 [51] CLOSURE : f(skolem_Y66(skolem_V88), skolem_Y66(skolem_V88))
% 0.20/0.42
% 0.20/0.42 % SZS output end Proof for theBenchmark.p
% 0.20/0.42 [0.079881s][1][Res] 122 goroutines created
% 0.20/0.42 ==== Result ====
% 0.20/0.42 [0.079914s][1][Res] VALID
% 0.20/0.42 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------