TSTP Solution File: SET196+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET196+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 04:15:46 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET196+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 03:20:45 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 : 8
% 0.13/0.34 Launch Gotab with destructive = true
% 0.13/0.35 % SZS output start Proof for theBenchmark.p
% 0.13/0.35 [0] ALPHA_AND : (! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9))) & ! [B11_11] : (subset(B11_11, B11_11)) & ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13))))) & ~! [B15_15, C16_16] : (subset(intersection(B15_15, C16_16), B15_15)))
% 0.13/0.35 -> [1] ! [B9_9, C10_10] : (=(intersection(B9_9, C10_10), intersection(C10_10, B9_9))), ! [B11_11] : (subset(B11_11, B11_11)), ! [B12_12, C13_13] : ((=(B12_12, C13_13) <=> ! [D14_14] : ((member(D14_14, B12_12) <=> member(D14_14, C13_13))))), ~! [B15_15, C16_16] : (subset(intersection(B15_15, C16_16), B15_15))
% 0.13/0.35
% 0.13/0.35 [1] DELTA_NOT_FORALL : ~! [B15_15, C16_16] : (subset(intersection(B15_15, C16_16), B15_15))
% 0.13/0.35 -> [2] ~subset(intersection(skolem_B1515, skolem_C1616), skolem_B1515)
% 0.13/0.35
% 0.13/0.35 [2] Rewrite : ~subset(intersection(skolem_B1515, skolem_C1616), skolem_B1515)
% 0.13/0.35 -> [3] ~(member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), intersection(skolem_B1515, skolem_C1616)) => member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515))
% 0.13/0.35
% 0.13/0.35 [3] ALPHA_NOT_IMPLY : ~(member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), intersection(skolem_B1515, skolem_C1616)) => member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515))
% 0.13/0.35 -> [4] member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), intersection(skolem_B1515, skolem_C1616)), ~member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515)
% 0.13/0.35
% 0.13/0.35 [4] Rewrite : member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), intersection(skolem_B1515, skolem_C1616))
% 0.13/0.35 -> [5] (member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515) & member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_C1616))
% 0.13/0.35
% 0.13/0.35 [5] ALPHA_AND : (member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515) & member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_C1616))
% 0.13/0.35 -> [6] member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515), member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_C1616)
% 0.13/0.35
% 0.13/0.35 [6] CLOSURE : member(skolem_D88(intersection(skolem_B1515, skolem_C1616), skolem_B1515), skolem_B1515)
% 0.13/0.35
% 0.13/0.35 % SZS output end Proof for theBenchmark.p
% 0.13/0.35 [0.009624s][1][Res] 9 goroutines created
% 0.13/0.35 ==== Result ====
% 0.13/0.35 [0.009655s][1][Res] VALID
% 0.13/0.35 % SZS status Theorem for theBenchmark.p
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