TSTP Solution File: SEU152+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU152+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n029.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 05:55:34 EDT 2022
% Result : Theorem 1.70s 0.82s
% Output : Proof 1.70s
% 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 : SEU152+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 09:53:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 7
% 0.12/0.35 Launch Gotab with destructive = true
% 1.70/0.82 % SZS output start Proof for theBenchmark.p
% 1.70/0.82 [0] ALPHA_AND : (! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))) & ! [A4_4, B5_5] : (=(set_union2(A4_4, B5_5), set_union2(B5_5, A4_4))) & $true & $true & ! [A6_6, B7_7] : (=(set_union2(A6_6, A6_6), A6_6)) & ! [A10_10, B11_11] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11))) & ! [A12_12, B13_13] : (subset(A12_12, A12_12)) & ! [A14_14, B15_15] : ((subset(A14_14, B15_15) => =(set_union2(A14_14, B15_15), B15_15))) & ~! [A8_8, B9_9] : ((in(A8_8, B9_9) => =(set_union2(singleton(A8_8), B9_9), B9_9))))
% 1.70/0.82 -> [1] ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))), ! [A4_4, B5_5] : (=(set_union2(A4_4, B5_5), set_union2(B5_5, A4_4))), $true, ! [A6_6, B7_7] : (=(set_union2(A6_6, A6_6), A6_6)), ! [A10_10, B11_11] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11))), ! [A12_12, B13_13] : (subset(A12_12, A12_12)), ! [A14_14, B15_15] : ((subset(A14_14, B15_15) => =(set_union2(A14_14, B15_15), B15_15))), ~! [A8_8, B9_9] : ((in(A8_8, B9_9) => =(set_union2(singleton(A8_8), B9_9), B9_9)))
% 1.70/0.82
% 1.70/0.82 [1] DELTA_NOT_FORALL : ~! [A8_8, B9_9] : ((in(A8_8, B9_9) => =(set_union2(singleton(A8_8), B9_9), B9_9)))
% 1.70/0.82 -> [2] ~(in(skolem_A88, skolem_B99) => =(set_union2(singleton(skolem_A88), skolem_B99), skolem_B99))
% 1.70/0.82
% 1.70/0.82 [2] ALPHA_NOT_IMPLY : ~(in(skolem_A88, skolem_B99) => =(set_union2(singleton(skolem_A88), skolem_B99), skolem_B99))
% 1.70/0.82 -> [3] in(skolem_A88, skolem_B99), ~=(set_union2(singleton(skolem_A88), skolem_B99), skolem_B99)
% 1.70/0.82
% 1.70/0.82 [3] GAMMA_FORALL : ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 1.70/0.82 -> [4] (in(skolem_A88, skolem_B99) => ~in(skolem_B99, skolem_A88))
% 1.70/0.82
% 1.70/0.82 [4] BETA_IMPLY : (in(skolem_A88, skolem_B99) => ~in(skolem_B99, skolem_A88))
% 1.70/0.82 -> [5] ~in(skolem_A88, skolem_B99)
% 1.70/0.82 -> [6] ~in(skolem_B99, skolem_A88)
% 1.70/0.82
% 1.70/0.82 [5] CLOSURE : ~in(skolem_A88, skolem_B99)
% 1.70/0.82
% 1.70/0.82 [6] GAMMA_FORALL : ! [A4_4, B5_5] : (=(set_union2(A4_4, B5_5), set_union2(B5_5, A4_4)))
% 1.70/0.82 -> [7] =(set_union2(A4_0_1, B5_0_1), set_union2(B5_0_1, A4_0_1))
% 1.70/0.82
% 1.70/0.82 [7] GAMMA_FORALL : ! [A6_6, B7_7] : (=(set_union2(A6_6, A6_6), A6_6))
% 1.70/0.82 -> [8] =(set_union2(A6_0_2, A6_0_2), A6_0_2)
% 1.70/0.82
% 1.70/0.82 [8] GAMMA_FORALL : ! [A10_10, B11_11] : ((subset(singleton(A10_10), B11_11) <=> in(A10_10, B11_11)))
% 1.70/0.82 -> [9] (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 1.70/0.82
% 1.70/0.82 [9] BETA_EQUIV : (subset(singleton(skolem_A88), skolem_B99) <=> in(skolem_A88, skolem_B99))
% 1.70/0.82 -> [10] ~subset(singleton(skolem_A88), skolem_B99), ~in(skolem_A88, skolem_B99)
% 1.70/0.82 -> [11] subset(singleton(skolem_A88), skolem_B99), in(skolem_A88, skolem_B99)
% 1.70/0.82
% 1.70/0.82 [10] CLOSURE : =
% 1.70/0.82
% 1.70/0.82 [11] GAMMA_FORALL : ! [A12_12, B13_13] : (subset(A12_12, A12_12))
% 1.70/0.82 -> [12] subset(A12_0_4, A12_0_4)
% 1.70/0.82
% 1.70/0.82 [12] GAMMA_FORALL : ! [A14_14, B15_15] : ((subset(A14_14, B15_15) => =(set_union2(A14_14, B15_15), B15_15)))
% 1.70/0.82 -> [13] (subset(singleton(skolem_A88), skolem_B99) => =(set_union2(singleton(skolem_A88), skolem_B99), skolem_B99))
% 1.70/0.82
% 1.70/0.82 [13] BETA_IMPLY : (subset(singleton(skolem_A88), skolem_B99) => =(set_union2(singleton(skolem_A88), skolem_B99), skolem_B99))
% 1.70/0.82 -> [14] ~subset(singleton(skolem_A88), skolem_B99)
% 1.70/0.82 -> [15] =(set_union2(singleton(skolem_A88), skolem_B99), skolem_B99)
% 1.70/0.82
% 1.70/0.82 [14] CLOSURE : =
% 1.70/0.82
% 1.70/0.82 [15] CLOSURE : =
% 1.70/0.82
% 1.70/0.82 % SZS output end Proof for theBenchmark.p
% 1.70/0.82 [0.472229s][1][Res] 1742 goroutines created
% 1.70/0.82 ==== Result ====
% 1.70/0.82 [0.472249s][1][Res] VALID
% 1.70/0.82 % SZS status Theorem for theBenchmark.p
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