TSTP Solution File: SET618+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 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 04:16:53 EDT 2022
% Result : Theorem 1.01s 0.60s
% Output : Proof 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n029.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 07:08:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 15
% 0.13/0.35 Launch Gotab with destructive = true
% 1.01/0.60 % SZS output start Proof for theBenchmark.p
% 1.01/0.60 [0] ALPHA_AND : (! [B3_3, C4_4] : (=(symmetric_difference(B3_3, C4_4), union(difference(B3_3, C4_4), difference(C4_4, B3_3)))) & ! [B5_5] : (=(union(B5_5, B5_5), B5_5)) & ! [B6_6] : (=(difference(B6_6, B6_6), empty_set)) & ! [B7_7] : (~member(B7_7, empty_set)) & ! [B8_8, C9_9] : ((=(B8_8, C9_9) <=> (subset(B8_8, C9_9) & subset(C9_9, B8_8)))) & ! [B10_10, C11_11] : (=(union(B10_10, C11_11), union(C11_11, B10_10))) & ! [B12_12, C13_13] : (=(symmetric_difference(B12_12, C13_13), symmetric_difference(C13_13, B12_12))) & ! [B14_14, C15_15] : ((=(B14_14, C15_15) <=> ! [D16_16] : ((member(D16_16, B14_14) <=> member(D16_16, C15_15))))) & ! [B20_20] : (subset(B20_20, B20_20)) & ~! [B23_23] : (=(symmetric_difference(B23_23, B23_23), empty_set)))
% 1.01/0.60 -> [1] ! [B3_3, C4_4] : (=(symmetric_difference(B3_3, C4_4), union(difference(B3_3, C4_4), difference(C4_4, B3_3)))), ! [B5_5] : (=(union(B5_5, B5_5), B5_5)), ! [B6_6] : (=(difference(B6_6, B6_6), empty_set)), ! [B7_7] : (~member(B7_7, empty_set)), ! [B8_8, C9_9] : ((=(B8_8, C9_9) <=> (subset(B8_8, C9_9) & subset(C9_9, B8_8)))), ! [B10_10, C11_11] : (=(union(B10_10, C11_11), union(C11_11, B10_10))), ! [B12_12, C13_13] : (=(symmetric_difference(B12_12, C13_13), symmetric_difference(C13_13, B12_12))), ! [B14_14, C15_15] : ((=(B14_14, C15_15) <=> ! [D16_16] : ((member(D16_16, B14_14) <=> member(D16_16, C15_15))))), ! [B20_20] : (subset(B20_20, B20_20)), ~! [B23_23] : (=(symmetric_difference(B23_23, B23_23), empty_set))
% 1.01/0.60
% 1.01/0.60 [1] DELTA_NOT_FORALL : ~! [B23_23] : (=(symmetric_difference(B23_23, B23_23), empty_set))
% 1.01/0.60 -> [2] ~=(symmetric_difference(skolem_B2323, skolem_B2323), empty_set)
% 1.01/0.60
% 1.01/0.60 [2] GAMMA_FORALL : ! [B3_3, C4_4] : (=(symmetric_difference(B3_3, C4_4), union(difference(B3_3, C4_4), difference(C4_4, B3_3))))
% 1.01/0.60 -> [3] =(symmetric_difference(B3_0_0, C4_0_0), union(difference(B3_0_0, C4_0_0), difference(C4_0_0, B3_0_0)))
% 1.01/0.60
% 1.01/0.60 [3] GAMMA_FORALL : ! [B5_5] : (=(union(B5_5, B5_5), B5_5))
% 1.01/0.60 -> [4] =(union(B5_0_1, B5_0_1), B5_0_1)
% 1.01/0.60
% 1.01/0.60 [4] GAMMA_FORALL : ! [B6_6] : (=(difference(B6_6, B6_6), empty_set))
% 1.01/0.60 -> [5] =(difference(B6_0_2, B6_0_2), empty_set)
% 1.01/0.60
% 1.01/0.60 [5] CLOSURE : =
% 1.01/0.60
% 1.01/0.60 % SZS output end Proof for theBenchmark.p
% 1.01/0.60 [0.249469s][1][Res] 1271 goroutines created
% 1.01/0.60 ==== Result ====
% 1.01/0.60 [0.249545s][1][Res] VALID
% 1.01/0.60 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------