TSTP Solution File: SET925+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n021.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 04:17:50 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET925+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n021.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 08:31:14 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 5
% 0.12/0.35 Launch Gotab with destructive = true
% 0.19/0.53 % SZS output start Proof for theBenchmark.p
% 0.19/0.53 [0] ALPHA_AND : (! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))) & empty(empty_set) & ? [A4_4] : (empty(A4_4)) & ? [A5_5] : (~empty(A5_5)) & ! [A8_8, B9_9] : ((=(set_difference(singleton(A8_8), B9_9), empty_set) <=> in(A8_8, B9_9))) & ~! [A6_6, B7_7] : ((=(set_difference(singleton(A6_6), B7_7), empty_set) <=> in(A6_6, B7_7))))
% 0.19/0.53 -> [1] ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))), empty(empty_set), ? [A4_4] : (empty(A4_4)), ? [A5_5] : (~empty(A5_5)), ! [A8_8, B9_9] : ((=(set_difference(singleton(A8_8), B9_9), empty_set) <=> in(A8_8, B9_9))), ~! [A6_6, B7_7] : ((=(set_difference(singleton(A6_6), B7_7), empty_set) <=> in(A6_6, B7_7)))
% 0.19/0.53
% 0.19/0.53 [1] DELTA_EXISTS : ? [A4_4] : (empty(A4_4))
% 0.19/0.53 -> [2] empty(skolem_A44)
% 0.19/0.53
% 0.19/0.53 [2] DELTA_EXISTS : ? [A5_5] : (~empty(A5_5))
% 0.19/0.53 -> [3] ~empty(skolem_A55)
% 0.19/0.53
% 0.19/0.53 [3] DELTA_NOT_FORALL : ~! [A6_6, B7_7] : ((=(set_difference(singleton(A6_6), B7_7), empty_set) <=> in(A6_6, B7_7)))
% 0.19/0.53 -> [4] ~(=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53
% 0.19/0.53 [4] BETA_NOT_EQUIV : ~(=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53 -> [5] ~=(set_difference(singleton(skolem_A66), skolem_B77), empty_set), in(skolem_A66, skolem_B77)
% 0.19/0.53 -> [6] =(set_difference(singleton(skolem_A66), skolem_B77), empty_set), ~in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [5] GAMMA_FORALL : ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 0.19/0.53 -> [7] (in(skolem_B77, skolem_A66) => ~in(skolem_A66, skolem_B77))
% 0.19/0.53
% 0.19/0.53 [7] BETA_IMPLY : (in(skolem_B77, skolem_A66) => ~in(skolem_A66, skolem_B77))
% 0.19/0.53 -> [8] ~in(skolem_B77, skolem_A66)
% 0.19/0.53 -> [9] ~in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [9] CLOSURE : ~in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [8] GAMMA_FORALL : ! [A8_8, B9_9] : ((=(set_difference(singleton(A8_8), B9_9), empty_set) <=> in(A8_8, B9_9)))
% 0.19/0.53 -> [10] (=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53
% 0.19/0.53 [10] BETA_EQUIV : (=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53 -> [11] ~=(set_difference(singleton(skolem_A66), skolem_B77), empty_set), ~in(skolem_A66, skolem_B77)
% 0.19/0.53 -> [12] =(set_difference(singleton(skolem_A66), skolem_B77), empty_set), in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [11] CLOSURE : ~in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [12] CLOSURE : =
% 0.19/0.53
% 0.19/0.53 [6] GAMMA_FORALL : ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 0.19/0.53 -> [13] (in(A2_1_0, B3_1_0) => ~in(B3_1_0, A2_1_0))
% 0.19/0.53
% 0.19/0.53 [13] BETA_IMPLY : (in(A2_1_0, B3_1_0) => ~in(B3_1_0, A2_1_0))
% 0.19/0.53 -> [14] ~in(A2_1_0, B3_1_0)
% 0.19/0.53 -> [15] ~in(B3_1_0, A2_1_0)
% 0.19/0.53
% 0.19/0.53 [15] GAMMA_FORALL : ! [A8_8, B9_9] : ((=(set_difference(singleton(A8_8), B9_9), empty_set) <=> in(A8_8, B9_9)))
% 0.19/0.53 -> [16] (=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53
% 0.19/0.53 [16] BETA_EQUIV : (=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53 -> [17] ~=(set_difference(singleton(skolem_A66), skolem_B77), empty_set), ~in(skolem_A66, skolem_B77)
% 0.19/0.53 -> [18] =(set_difference(singleton(skolem_A66), skolem_B77), empty_set), in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [17] CLOSURE : =
% 0.19/0.53
% 0.19/0.53 [18] CLOSURE : =
% 0.19/0.53
% 0.19/0.53 [14] GAMMA_FORALL : ! [A8_8, B9_9] : ((=(set_difference(singleton(A8_8), B9_9), empty_set) <=> in(A8_8, B9_9)))
% 0.19/0.53 -> [19] (=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53
% 0.19/0.53 [19] BETA_EQUIV : (=(set_difference(singleton(skolem_A66), skolem_B77), empty_set) <=> in(skolem_A66, skolem_B77))
% 0.19/0.53 -> [20] ~=(set_difference(singleton(skolem_A66), skolem_B77), empty_set), ~in(skolem_A66, skolem_B77)
% 0.19/0.53 -> [21] =(set_difference(singleton(skolem_A66), skolem_B77), empty_set), in(skolem_A66, skolem_B77)
% 0.19/0.53
% 0.19/0.53 [20] CLOSURE : =
% 0.19/0.53
% 0.19/0.53 [21] CLOSURE : =
% 0.19/0.53
% 0.19/0.53 % SZS output end Proof for theBenchmark.p
% 0.19/0.53 [0.184002s][1][Res] 990 goroutines created
% 0.19/0.53 ==== Result ====
% 0.19/0.53 [0.184059s][1][Res] VALID
% 0.19/0.53 % SZS status Theorem for theBenchmark.p
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