TSTP Solution File: SYN370+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n011.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 22:23:13 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 02:54:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000038s][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 nb_step : 2 - limit : 6
% 0.12/0.35 Launch Gotab with destructive = true
% 0.12/0.38 % SZS output start Proof for theBenchmark.p
% 0.12/0.38 [13] GAMMA_NOT_EXISTS : ~? [V3_3] : (! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(V3_3, Y4_4, f(Y4_4))) => big_p(V3_3, Y4_4, Z5_5)))))
% 0.12/0.38 -> [14] ~! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(a, Y4_4, f(Y4_4))) => big_p(a, Y4_4, Z5_5))))
% 0.12/0.38
% 0.12/0.38 [14] DELTA_NOT_FORALL : ~! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(a, Y4_4, f(Y4_4))) => big_p(a, Y4_4, Z5_5))))
% 0.12/0.38 -> [15] ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38
% 0.12/0.38 [15] GAMMA_NOT_EXISTS : ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38 -> [16] ~((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), f(skolem_Y44(a))))
% 0.12/0.38
% 0.12/0.38 [16] ALPHA_NOT_IMPLY : ~((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), f(skolem_Y44(a))))
% 0.12/0.38 -> [17] (big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))), ~big_p(a, skolem_Y44(a), f(skolem_Y44(a)))
% 0.12/0.38
% 0.12/0.38 [17] BETA_OR : (big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a))))
% 0.12/0.38 -> [18] big_p(a, skolem_Y44(a), h(skolem_Y44(a)))
% 0.12/0.38 -> [19] big_p(a, skolem_Y44(a), f(skolem_Y44(a)))
% 0.12/0.38
% 0.12/0.38 [19] CLOSURE : big_p(a, skolem_Y44(a), f(skolem_Y44(a)))
% 0.12/0.38
% 0.12/0.38 [18] : ~? [V3_3] : (! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(V3_3, Y4_4, f(Y4_4))) => big_p(V3_3, Y4_4, Z5_5)))))
% 0.12/0.38 -> [20] ~? [V3_3] : (! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(V3_3, Y4_4, f(Y4_4))) => big_p(V3_3, Y4_4, Z5_5)))))
% 0.12/0.38
% 0.12/0.38 [20] GAMMA_NOT_EXISTS : ~? [V3_3] : (! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(V3_3, Y4_4, f(Y4_4))) => big_p(V3_3, Y4_4, Z5_5)))))
% 0.12/0.38 -> [21] ~! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(a, Y4_4, f(Y4_4))) => big_p(a, Y4_4, Z5_5))))
% 0.12/0.38
% 0.12/0.38 [21] DELTA_NOT_FORALL : ~! [Y4_4] : (? [Z5_5] : (((big_p(a, Y4_4, h(Y4_4)) | big_p(a, Y4_4, f(Y4_4))) => big_p(a, Y4_4, Z5_5))))
% 0.12/0.38 -> [22] ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38
% 0.12/0.38 [22] GAMMA_NOT_EXISTS : ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38 -> [23] ~((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), h(skolem_Y44(a))))
% 0.12/0.38
% 0.12/0.38 [23] ALPHA_NOT_IMPLY : ~((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), h(skolem_Y44(a))))
% 0.12/0.38 -> [24] (big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))), ~big_p(a, skolem_Y44(a), h(skolem_Y44(a)))
% 0.12/0.38
% 0.12/0.38 [24] BETA_OR : (big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a))))
% 0.12/0.38 -> [25] big_p(a, skolem_Y44(a), h(skolem_Y44(a)))
% 0.12/0.38 -> [26] big_p(a, skolem_Y44(a), f(skolem_Y44(a)))
% 0.12/0.38
% 0.12/0.38 [25] CLOSURE : big_p(a, skolem_Y44(a), h(skolem_Y44(a)))
% 0.12/0.38
% 0.12/0.38 [26] : ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38 -> [27] ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38
% 0.12/0.38 [27] GAMMA_NOT_EXISTS : ~? [Z5_5] : (((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_5)))
% 0.12/0.38 -> [28] ~((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_2_1))
% 0.12/0.38
% 0.12/0.38 [28] ALPHA_NOT_IMPLY : ~((big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))) => big_p(a, skolem_Y44(a), Z5_2_1))
% 0.12/0.38 -> [29] (big_p(a, skolem_Y44(a), h(skolem_Y44(a))) | big_p(a, skolem_Y44(a), f(skolem_Y44(a)))), ~big_p(a, skolem_Y44(a), Z5_2_1)
% 0.12/0.38
% 0.12/0.38 [29] CLOSURE : ~big_p(a, skolem_Y44(a), Z5_2_1)
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof for theBenchmark.p
% 0.12/0.38 [0.049008s][1][Res] 17 goroutines created
% 0.12/0.38 ==== Result ====
% 0.12/0.38 [0.049040s][1][Res] VALID
% 0.12/0.38 % SZS status Theorem for theBenchmark.p
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