TSTP Solution File: SET027+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Sep 20 04:14:54 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n015.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 : Sat Sep 3 01:35:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 4
% 0.12/0.34 Launch Gotab with destructive = true
% 0.18/0.35 % SZS output start Proof for theBenchmark.p
% 0.18/0.35 [0] ALPHA_AND : (! [B6_6] : (subset(B6_6, B6_6)) & ~! [B7_7, C8_8, D9_9] : (((subset(B7_7, C8_8) & subset(C8_8, D9_9)) => subset(B7_7, D9_9))))
% 0.18/0.35 -> [1] ! [B6_6] : (subset(B6_6, B6_6)), ~! [B7_7, C8_8, D9_9] : (((subset(B7_7, C8_8) & subset(C8_8, D9_9)) => subset(B7_7, D9_9)))
% 0.18/0.35
% 0.18/0.35 [1] DELTA_NOT_FORALL : ~! [B7_7, C8_8, D9_9] : (((subset(B7_7, C8_8) & subset(C8_8, D9_9)) => subset(B7_7, D9_9)))
% 0.18/0.35 -> [2] ~((subset(skolem_B77, skolem_C88) & subset(skolem_C88, skolem_D99)) => subset(skolem_B77, skolem_D99))
% 0.18/0.35
% 0.18/0.35 [2] ALPHA_NOT_IMPLY : ~((subset(skolem_B77, skolem_C88) & subset(skolem_C88, skolem_D99)) => subset(skolem_B77, skolem_D99))
% 0.18/0.35 -> [3] (subset(skolem_B77, skolem_C88) & subset(skolem_C88, skolem_D99)), ~subset(skolem_B77, skolem_D99)
% 0.18/0.35
% 0.18/0.35 [3] Rewrite : ~subset(skolem_B77, skolem_D99)
% 0.18/0.35 -> [4] ~(member(skolem_D55(skolem_B77, skolem_D99), skolem_B77) => member(skolem_D55(skolem_B77, skolem_D99), skolem_D99))
% 0.18/0.35
% 0.18/0.35 [4] ALPHA_AND : (subset(skolem_B77, skolem_C88) & subset(skolem_C88, skolem_D99))
% 0.18/0.35 -> [5] subset(skolem_B77, skolem_C88), subset(skolem_C88, skolem_D99)
% 0.18/0.35
% 0.18/0.35 [5] Rewrite : subset(skolem_B77, skolem_C88)
% 0.18/0.35 -> [6] ! [D5_5] : ((member(D5_5, skolem_B77) => member(D5_5, skolem_C88)))
% 0.18/0.35
% 0.18/0.35 [6] Rewrite : subset(skolem_C88, skolem_D99)
% 0.18/0.35 -> [7] ! [D5_5] : ((member(D5_5, skolem_C88) => member(D5_5, skolem_D99)))
% 0.18/0.35
% 0.18/0.35 [7] ALPHA_NOT_IMPLY : ~(member(skolem_D55(skolem_B77, skolem_D99), skolem_B77) => member(skolem_D55(skolem_B77, skolem_D99), skolem_D99))
% 0.18/0.35 -> [8] member(skolem_D55(skolem_B77, skolem_D99), skolem_B77), ~member(skolem_D55(skolem_B77, skolem_D99), skolem_D99)
% 0.18/0.35
% 0.18/0.35 [8] GAMMA_FORALL : ! [B6_6] : (subset(B6_6, B6_6))
% 0.18/0.35 -> [9] subset(B6_0_0, B6_0_0)
% 0.18/0.35
% 0.18/0.35 [9] Rewrite : subset(B6_0_0, B6_0_0)
% 0.18/0.35 -> [10] ! [D5_5] : ((member(D5_5, B6_0_0) => member(D5_5, B6_0_0)))
% 0.18/0.35
% 0.18/0.35 [10] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_B77) => member(D5_5, skolem_C88)))
% 0.18/0.35 -> [11] (member(skolem_D55(skolem_B77, skolem_D99), skolem_B77) => member(skolem_D55(skolem_B77, skolem_D99), skolem_C88))
% 0.18/0.35
% 0.18/0.35 [11] BETA_IMPLY : (member(skolem_D55(skolem_B77, skolem_D99), skolem_B77) => member(skolem_D55(skolem_B77, skolem_D99), skolem_C88))
% 0.18/0.35 -> [12] ~member(skolem_D55(skolem_B77, skolem_D99), skolem_B77)
% 0.18/0.35 -> [13] member(skolem_D55(skolem_B77, skolem_D99), skolem_C88)
% 0.18/0.35
% 0.18/0.35 [12] CLOSURE : ~member(skolem_D55(skolem_B77, skolem_D99), skolem_B77)
% 0.18/0.35
% 0.18/0.35 [13] GAMMA_FORALL : ! [D5_5] : ((member(D5_5, skolem_C88) => member(D5_5, skolem_D99)))
% 0.18/0.35 -> [14] (member(skolem_D55(skolem_B77, skolem_D99), skolem_C88) => member(skolem_D55(skolem_B77, skolem_D99), skolem_D99))
% 0.18/0.35
% 0.18/0.35 [14] BETA_IMPLY : (member(skolem_D55(skolem_B77, skolem_D99), skolem_C88) => member(skolem_D55(skolem_B77, skolem_D99), skolem_D99))
% 0.18/0.35 -> [15] ~member(skolem_D55(skolem_B77, skolem_D99), skolem_C88)
% 0.18/0.35 -> [16] member(skolem_D55(skolem_B77, skolem_D99), skolem_D99)
% 0.18/0.35
% 0.18/0.35 [16] CLOSURE : member(skolem_D55(skolem_B77, skolem_D99), skolem_D99)
% 0.18/0.35
% 0.18/0.35 [15] CLOSURE : ~member(skolem_D55(skolem_B77, skolem_D99), skolem_C88)
% 0.18/0.35
% 0.18/0.35 % SZS output end Proof for theBenchmark.p
% 0.18/0.35 [0.015739s][1][Res] 18 goroutines created
% 0.18/0.35 ==== Result ====
% 0.18/0.35 [0.015772s][1][Res] VALID
% 0.18/0.35 % SZS status Theorem for theBenchmark.p
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