TSTP Solution File: SEU122+1 by Goeland---1.0.0
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- Process Solution
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% File : Goeland---1.0.0
% Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n004.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 05:55:25 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU122+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n004.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 : Sat Sep 3 09:28:49 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 : 10
% 0.13/0.34 Launch Gotab with destructive = true
% 0.20/0.43 % SZS output start Proof for theBenchmark.p
% 0.20/0.43 [0] ALPHA_AND : (! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3))) & $true & empty(empty_set) & ? [A8_8] : (empty(A8_8)) & ? [A9_9] : (~empty(A9_9)) & ! [A10_10, B11_11] : (subset(A10_10, A10_10)) & ! [A13_13] : ((empty(A13_13) => =(A13_13, empty_set))) & ! [A14_14, B15_15] : (~(in(A14_14, B15_15) & empty(B15_15))) & ! [A16_16, B17_17] : (~((empty(A16_16) & ~=(A16_16, B17_17)) & empty(B17_17))) & ~! [A12_12] : (subset(empty_set, A12_12)))
% 0.20/0.43 -> [1] ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3))), $true, empty(empty_set), ? [A8_8] : (empty(A8_8)), ? [A9_9] : (~empty(A9_9)), ! [A10_10, B11_11] : (subset(A10_10, A10_10)), ! [A13_13] : ((empty(A13_13) => =(A13_13, empty_set))), ! [A14_14, B15_15] : (~(in(A14_14, B15_15) & empty(B15_15))), ! [A16_16, B17_17] : (~((empty(A16_16) & ~=(A16_16, B17_17)) & empty(B17_17))), ~! [A12_12] : (subset(empty_set, A12_12))
% 0.20/0.43
% 0.20/0.43 [1] DELTA_EXISTS : ? [A8_8] : (empty(A8_8))
% 0.20/0.43 -> [2] empty(skolem_A88)
% 0.20/0.43
% 0.20/0.43 [2] DELTA_EXISTS : ? [A9_9] : (~empty(A9_9))
% 0.20/0.43 -> [3] ~empty(skolem_A99)
% 0.20/0.43
% 0.20/0.43 [3] DELTA_NOT_FORALL : ~! [A12_12] : (subset(empty_set, A12_12))
% 0.20/0.43 -> [4] ~subset(empty_set, skolem_A1212)
% 0.20/0.43
% 0.20/0.43 [4] Rewrite : ~subset(empty_set, skolem_A1212)
% 0.20/0.43 -> [5] ~(in(skolem_C77(empty_set, skolem_A1212), empty_set) => in(skolem_C77(empty_set, skolem_A1212), skolem_A1212))
% 0.20/0.43
% 0.20/0.43 [5] ALPHA_NOT_IMPLY : ~(in(skolem_C77(empty_set, skolem_A1212), empty_set) => in(skolem_C77(empty_set, skolem_A1212), skolem_A1212))
% 0.20/0.43 -> [6] in(skolem_C77(empty_set, skolem_A1212), empty_set), ~in(skolem_C77(empty_set, skolem_A1212), skolem_A1212)
% 0.20/0.43
% 0.20/0.43 [6] GAMMA_FORALL : ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 0.20/0.43 -> [7] (in(skolem_C77(empty_set, skolem_A1212), empty_set) => ~in(empty_set, skolem_C77(empty_set, skolem_A1212)))
% 0.20/0.43
% 0.20/0.43 [7] BETA_IMPLY : (in(skolem_C77(empty_set, skolem_A1212), empty_set) => ~in(empty_set, skolem_C77(empty_set, skolem_A1212)))
% 0.20/0.43 -> [8] ~in(skolem_C77(empty_set, skolem_A1212), empty_set)
% 0.20/0.43 -> [9] ~in(empty_set, skolem_C77(empty_set, skolem_A1212))
% 0.20/0.43
% 0.20/0.43 [8] CLOSURE : ~in(skolem_C77(empty_set, skolem_A1212), empty_set)
% 0.20/0.43
% 0.20/0.43 [9] GAMMA_FORALL : ! [A10_10, B11_11] : (subset(A10_10, A10_10))
% 0.20/0.43 -> [10] subset(A10_0_1, A10_0_1)
% 0.20/0.43
% 0.20/0.43 [10] Rewrite : subset(A10_0_1, A10_0_1)
% 0.20/0.43 -> [11] ! [C7_7] : ((in(C7_7, A10_0_1) => in(C7_7, A10_0_1)))
% 0.20/0.43
% 0.20/0.43 [11] GAMMA_FORALL : ! [A13_13] : ((empty(A13_13) => =(A13_13, empty_set)))
% 0.20/0.43 -> [12] (empty(skolem_A88) => =(skolem_A88, empty_set))
% 0.20/0.43
% 0.20/0.43 [12] BETA_IMPLY : (empty(skolem_A88) => =(skolem_A88, empty_set))
% 0.20/0.43 -> [13] ~empty(skolem_A88)
% 0.20/0.43 -> [14] =(skolem_A88, empty_set)
% 0.20/0.43
% 0.20/0.43 [13] CLOSURE : ~empty(skolem_A88)
% 0.20/0.43
% 0.20/0.43 [14] GAMMA_FORALL : ! [A14_14, B15_15] : (~(in(A14_14, B15_15) & empty(B15_15)))
% 0.20/0.43 -> [15] ~(in(skolem_C77(empty_set, skolem_A1212), empty_set) & empty(empty_set))
% 0.20/0.43
% 0.20/0.43 [15] BETA_NOT_AND : ~(in(skolem_C77(empty_set, skolem_A1212), empty_set) & empty(empty_set))
% 0.20/0.43 -> [16] ~in(skolem_C77(empty_set, skolem_A1212), empty_set)
% 0.20/0.43 -> [17] ~empty(empty_set)
% 0.20/0.43
% 0.20/0.43 [16] CLOSURE : =
% 0.20/0.43
% 0.20/0.43 [17] CLOSURE : ~empty(empty_set)
% 0.20/0.43
% 0.20/0.43 % SZS output end Proof for theBenchmark.p
% 0.20/0.43 [0.084561s][1][Res] 412 goroutines created
% 0.20/0.43 ==== Result ====
% 0.20/0.43 [0.084596s][1][Res] VALID
% 0.20/0.43 % SZS status Theorem for theBenchmark.p
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