TSTP Solution File: SET002+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET002+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.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 04:14:38 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET002+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n018.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 01:03:44 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 [0.000032s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 10
% 0.13/0.35 Launch Gotab with destructive = true
% 0.13/0.37 % SZS output start Proof for theBenchmark.p
% 0.13/0.37 [0] ALPHA_AND : (! [B3_3, C4_4] : ((subset(B3_3, C4_4) => =(union(B3_3, C4_4), C4_4))) & ! [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))) & ! [B15_15] : (subset(B15_15, B15_15)) & ! [B16_16, C17_17] : ((=(B16_16, C17_17) <=> ! [D18_18] : ((member(D18_18, B16_16) <=> member(D18_18, C17_17))))) & ~! [B19_19] : (=(union(B19_19, B19_19), B19_19)))
% 0.13/0.37 -> [1] ! [B3_3, C4_4] : ((subset(B3_3, C4_4) => =(union(B3_3, C4_4), C4_4))), ! [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))), ! [B15_15] : (subset(B15_15, B15_15)), ! [B16_16, C17_17] : ((=(B16_16, C17_17) <=> ! [D18_18] : ((member(D18_18, B16_16) <=> member(D18_18, C17_17))))), ~! [B19_19] : (=(union(B19_19, B19_19), B19_19))
% 0.13/0.37
% 0.13/0.37 [1] DELTA_NOT_FORALL : ~! [B19_19] : (=(union(B19_19, B19_19), B19_19))
% 0.13/0.37 -> [2] ~=(union(skolem_B1919, skolem_B1919), skolem_B1919)
% 0.13/0.37
% 0.13/0.37 [2] GAMMA_FORALL : ! [B3_3, C4_4] : ((subset(B3_3, C4_4) => =(union(B3_3, C4_4), C4_4)))
% 0.13/0.37 -> [3] (subset(skolem_B1919, skolem_B1919) => =(union(skolem_B1919, skolem_B1919), skolem_B1919))
% 0.13/0.37
% 0.13/0.37 [3] BETA_IMPLY : (subset(skolem_B1919, skolem_B1919) => =(union(skolem_B1919, skolem_B1919), skolem_B1919))
% 0.13/0.37 -> [4] ~subset(skolem_B1919, skolem_B1919)
% 0.13/0.37 -> [5] =(union(skolem_B1919, skolem_B1919), skolem_B1919)
% 0.13/0.37
% 0.13/0.37 [4] Rewrite : ~subset(skolem_B1919, skolem_B1919)
% 0.13/0.37 -> [6] ~(member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919) => member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919))
% 0.13/0.37
% 0.13/0.37 [6] ALPHA_NOT_IMPLY : ~(member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919) => member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919))
% 0.13/0.37 -> [7] member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919), ~member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919)
% 0.13/0.37
% 0.13/0.37 [7] CLOSURE : ~member(skolem_D1414(skolem_B1919, skolem_B1919), skolem_B1919)
% 0.13/0.37
% 0.13/0.37 [5] CLOSURE : =
% 0.13/0.37
% 0.13/0.37 % SZS output end Proof for theBenchmark.p
% 0.13/0.37 [0.021668s][1][Res] 35 goroutines created
% 0.13/0.37 ==== Result ====
% 0.13/0.37 [0.021702s][1][Res] VALID
% 0.13/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------