TSTP Solution File: SET913+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET913+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n013.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 04:17:48 EDT 2022
% Result : Theorem 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET913+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n013.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 08:28:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 [DMT] DMT loaded with preskolemization
% 0.12/0.35 [EQ] equality loaded.
% 0.12/0.35 [0.000048s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 6
% 0.12/0.35 Launch Gotab with destructive = true
% 0.20/0.37 % SZS output start Proof for theBenchmark.p
% 0.20/0.37 [0] ALPHA_AND : (! [A2_2, B3_3] : ((disjoint(A2_2, B3_3) => disjoint(B3_3, A2_2))) & ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4))) & ? [A6_6] : (empty(A6_6)) & ? [A7_7] : (~empty(A7_7)) & ! [A10_10, B11_11] : (~(disjoint(singleton(A10_10), B11_11) & in(A10_10, B11_11))) & ~! [A8_8, B9_9] : (~(disjoint(singleton(A8_8), B9_9) & in(A8_8, B9_9))))
% 0.20/0.37 -> [1] ! [A2_2, B3_3] : ((disjoint(A2_2, B3_3) => disjoint(B3_3, A2_2))), ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4))), ? [A6_6] : (empty(A6_6)), ? [A7_7] : (~empty(A7_7)), ! [A10_10, B11_11] : (~(disjoint(singleton(A10_10), B11_11) & in(A10_10, B11_11))), ~! [A8_8, B9_9] : (~(disjoint(singleton(A8_8), B9_9) & in(A8_8, B9_9)))
% 0.20/0.37
% 0.20/0.37 [1] DELTA_EXISTS : ? [A6_6] : (empty(A6_6))
% 0.20/0.37 -> [2] empty(skolem_A66)
% 0.20/0.37
% 0.20/0.37 [2] DELTA_EXISTS : ? [A7_7] : (~empty(A7_7))
% 0.20/0.37 -> [3] ~empty(skolem_A77)
% 0.20/0.37
% 0.20/0.37 [3] DELTA_NOT_FORALL : ~! [A8_8, B9_9] : (~(disjoint(singleton(A8_8), B9_9) & in(A8_8, B9_9)))
% 0.20/0.37 -> [4] ~~(disjoint(singleton(skolem_A88), skolem_B99) & in(skolem_A88, skolem_B99))
% 0.20/0.37
% 0.20/0.37 [4] ALPHA_NOT_NOT : ~~(disjoint(singleton(skolem_A88), skolem_B99) & in(skolem_A88, skolem_B99))
% 0.20/0.37 -> [5] (disjoint(singleton(skolem_A88), skolem_B99) & in(skolem_A88, skolem_B99))
% 0.20/0.37
% 0.20/0.37 [5] ALPHA_AND : (disjoint(singleton(skolem_A88), skolem_B99) & in(skolem_A88, skolem_B99))
% 0.20/0.37 -> [6] disjoint(singleton(skolem_A88), skolem_B99), in(skolem_A88, skolem_B99)
% 0.20/0.37
% 0.20/0.37 [6] GAMMA_FORALL : ! [A2_2, B3_3] : ((disjoint(A2_2, B3_3) => disjoint(B3_3, A2_2)))
% 0.20/0.37 -> [7] (disjoint(singleton(skolem_A88), skolem_B99) => disjoint(skolem_B99, singleton(skolem_A88)))
% 0.20/0.37
% 0.20/0.37 [7] BETA_IMPLY : (disjoint(singleton(skolem_A88), skolem_B99) => disjoint(skolem_B99, singleton(skolem_A88)))
% 0.20/0.37 -> [8] ~disjoint(singleton(skolem_A88), skolem_B99)
% 0.20/0.37 -> [9] disjoint(skolem_B99, singleton(skolem_A88))
% 0.20/0.37
% 0.20/0.37 [8] CLOSURE : ~disjoint(singleton(skolem_A88), skolem_B99)
% 0.20/0.37
% 0.20/0.37 [9] GAMMA_FORALL : ! [A4_4, B5_5] : ((in(A4_4, B5_5) => ~in(B5_5, A4_4)))
% 0.20/0.37 -> [10] (in(skolem_B99, skolem_A88) => ~in(skolem_A88, skolem_B99))
% 0.20/0.37
% 0.20/0.37 [10] BETA_IMPLY : (in(skolem_B99, skolem_A88) => ~in(skolem_A88, skolem_B99))
% 0.20/0.37 -> [11] ~in(skolem_B99, skolem_A88)
% 0.20/0.37 -> [12] ~in(skolem_A88, skolem_B99)
% 0.20/0.37
% 0.20/0.37 [12] CLOSURE : ~in(skolem_A88, skolem_B99)
% 0.20/0.37
% 0.20/0.37 [11] GAMMA_FORALL : ! [A10_10, B11_11] : (~(disjoint(singleton(A10_10), B11_11) & in(A10_10, B11_11)))
% 0.20/0.37 -> [13] ~(disjoint(singleton(skolem_A88), skolem_B99) & in(skolem_A88, skolem_B99))
% 0.20/0.37
% 0.20/0.37 [13] BETA_NOT_AND : ~(disjoint(singleton(skolem_A88), skolem_B99) & in(skolem_A88, skolem_B99))
% 0.20/0.37 -> [14] ~disjoint(singleton(skolem_A88), skolem_B99)
% 0.20/0.37 -> [15] ~in(skolem_A88, skolem_B99)
% 0.20/0.37
% 0.20/0.37 [15] CLOSURE : ~in(skolem_A88, skolem_B99)
% 0.20/0.37
% 0.20/0.37 [14] CLOSURE : ~disjoint(singleton(skolem_A88), skolem_B99)
% 0.20/0.37
% 0.20/0.37 % SZS output end Proof for theBenchmark.p
% 0.20/0.37 [0.021012s][1][Res] 64 goroutines created
% 0.20/0.37 ==== Result ====
% 0.20/0.37 [0.021057s][1][Res] VALID
% 0.20/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------