TSTP Solution File: SET904+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET904+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n010.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 04:17:47 EDT 2022
% Result : Theorem 2.70s 0.99s
% Output : Proof 2.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET904+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11 % Command : goeland -dmt -presko -proof %s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Sep 3 08:23:12 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 [DMT] DMT loaded with preskolemization
% 0.11/0.33 [EQ] equality loaded.
% 0.11/0.33 [0.000047s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.33 Start search
% 0.11/0.33 nb_step : 1 - limit : 10
% 0.11/0.33 Launch Gotab with destructive = true
% 2.70/0.99 % SZS output start Proof for theBenchmark.p
% 2.70/0.99 [0] ALPHA_AND : (! [A2_2, B3_3] : ((~empty(A2_2) => ~empty(set_union2(A2_2, B3_3)))) & ! [A4_4, B5_5] : ((~empty(A4_4) => ~empty(set_union2(B5_5, A4_4)))) & ! [A6_6, B7_7] : (=(set_union2(A6_6, B7_7), set_union2(B7_7, A6_6))) & ! [A8_8, B9_9] : (=(set_union2(A8_8, A8_8), A8_8)) & ! [A10_10, B11_11] : (subset(A10_10, A10_10)) & ! [A12_12, B13_13] : ((in(A12_12, B13_13) => ~in(B13_13, A12_12))) & ? [A14_14] : (empty(A14_14)) & ? [A15_15] : (~empty(A15_15)) & ! [A18_18, B19_19] : ((subset(set_union2(singleton(A18_18), B19_19), B19_19) => in(A18_18, B19_19))) & ~! [A16_16, B17_17] : ((subset(set_union2(singleton(A16_16), B17_17), B17_17) => in(A16_16, B17_17))))
% 2.70/0.99 -> [1] ! [A2_2, B3_3] : ((~empty(A2_2) => ~empty(set_union2(A2_2, B3_3)))), ! [A4_4, B5_5] : ((~empty(A4_4) => ~empty(set_union2(B5_5, A4_4)))), ! [A6_6, B7_7] : (=(set_union2(A6_6, B7_7), set_union2(B7_7, A6_6))), ! [A8_8, B9_9] : (=(set_union2(A8_8, A8_8), A8_8)), ! [A10_10, B11_11] : (subset(A10_10, A10_10)), ! [A12_12, B13_13] : ((in(A12_12, B13_13) => ~in(B13_13, A12_12))), ? [A14_14] : (empty(A14_14)), ? [A15_15] : (~empty(A15_15)), ! [A18_18, B19_19] : ((subset(set_union2(singleton(A18_18), B19_19), B19_19) => in(A18_18, B19_19))), ~! [A16_16, B17_17] : ((subset(set_union2(singleton(A16_16), B17_17), B17_17) => in(A16_16, B17_17)))
% 2.70/0.99
% 2.70/0.99 [1] DELTA_EXISTS : ? [A14_14] : (empty(A14_14))
% 2.70/0.99 -> [2] empty(skolem_A1414)
% 2.70/0.99
% 2.70/0.99 [2] DELTA_EXISTS : ? [A15_15] : (~empty(A15_15))
% 2.70/0.99 -> [3] ~empty(skolem_A1515)
% 2.70/0.99
% 2.70/0.99 [3] DELTA_NOT_FORALL : ~! [A16_16, B17_17] : ((subset(set_union2(singleton(A16_16), B17_17), B17_17) => in(A16_16, B17_17)))
% 2.70/0.99 -> [4] ~(subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717) => in(skolem_A1616, skolem_B1717))
% 2.70/0.99
% 2.70/0.99 [4] ALPHA_NOT_IMPLY : ~(subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717) => in(skolem_A1616, skolem_B1717))
% 2.70/0.99 -> [5] subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717), ~in(skolem_A1616, skolem_B1717)
% 2.70/0.99
% 2.70/0.99 [5] GAMMA_FORALL : ! [A2_2, B3_3] : ((~empty(A2_2) => ~empty(set_union2(A2_2, B3_3))))
% 2.70/0.99 -> [6] (~empty(skolem_A1515) => ~empty(set_union2(skolem_A1515, B3_0_0)))
% 2.70/0.99
% 2.70/0.99 [6] BETA_IMPLY : (~empty(skolem_A1515) => ~empty(set_union2(skolem_A1515, B3_0_0)))
% 2.70/0.99 -> [7] ~~empty(skolem_A1515)
% 2.70/0.99 -> [8] ~empty(set_union2(skolem_A1515, B3_0_0))
% 2.70/0.99
% 2.70/0.99 [7] ALPHA_NOT_NOT : ~~empty(skolem_A1515)
% 2.70/0.99 -> [9] empty(skolem_A1515)
% 2.70/0.99
% 2.70/0.99 [9] CLOSURE : empty(skolem_A1515)
% 2.70/0.99
% 2.70/0.99 [10] BETA_IMPLY : (~empty(skolem_A1414) => ~empty(set_union2(skolem_A1414, skolem_A1414)))
% 2.70/0.99 -> [16] ~~empty(skolem_A1414)
% 2.70/0.99 -> [17] ~empty(set_union2(skolem_A1414, skolem_A1414))
% 2.70/0.99
% 2.70/0.99 [17] GAMMA_FORALL : ! [A6_6, B7_7] : (=(set_union2(A6_6, B7_7), set_union2(B7_7, A6_6)))
% 2.70/0.99 -> [19] =(set_union2(A6_1_2, B7_1_2), set_union2(B7_1_2, A6_1_2))
% 2.70/0.99
% 2.70/0.99 [19] GAMMA_FORALL : ! [A8_8, B9_9] : (=(set_union2(A8_8, A8_8), A8_8))
% 2.70/0.99 -> [20] =(set_union2(A8_1_3, A8_1_3), A8_1_3)
% 2.70/0.99
% 2.70/0.99 [20] CLOSURE : =
% 2.70/0.99
% 2.70/0.99 [18] GAMMA_FORALL : ! [A6_6, B7_7] : (=(set_union2(A6_6, B7_7), set_union2(B7_7, A6_6)))
% 2.70/0.99 -> [21] =(set_union2(A6_2_2, B7_2_2), set_union2(B7_2_2, A6_2_2))
% 2.70/0.99
% 2.70/0.99 [21] GAMMA_FORALL : ! [A8_8, B9_9] : (=(set_union2(A8_8, A8_8), A8_8))
% 2.70/0.99 -> [22] =(set_union2(A8_2_3, A8_2_3), A8_2_3)
% 2.70/0.99
% 2.70/0.99 [22] GAMMA_FORALL : ! [A10_10, B11_11] : (subset(A10_10, A10_10))
% 2.70/0.99 -> [23] subset(A10_0_4, A10_0_4)
% 2.70/0.99
% 2.70/0.99 [23] GAMMA_FORALL : ! [A12_12, B13_13] : ((in(A12_12, B13_13) => ~in(B13_13, A12_12)))
% 2.70/0.99 -> [24] (in(A12_0_5, B13_0_5) => ~in(B13_0_5, A12_0_5))
% 2.70/0.99
% 2.70/0.99 [24] BETA_IMPLY : (in(A12_0_5, B13_0_5) => ~in(B13_0_5, A12_0_5))
% 2.70/0.99 -> [25] ~in(A12_0_5, B13_0_5)
% 2.70/0.99 -> [26] ~in(B13_0_5, A12_0_5)
% 2.70/0.99
% 2.70/0.99 [26] GAMMA_FORALL : ! [A18_18, B19_19] : ((subset(set_union2(singleton(A18_18), B19_19), B19_19) => in(A18_18, B19_19)))
% 2.70/0.99 -> [28] (subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717) => in(skolem_A1616, skolem_B1717))
% 2.70/0.99
% 2.70/0.99 [28] BETA_IMPLY : (subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717) => in(skolem_A1616, skolem_B1717))
% 2.70/0.99 -> [31] ~subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717)
% 2.70/0.99 -> [32] in(skolem_A1616, skolem_B1717)
% 2.70/0.99
% 2.70/0.99 [32] CLOSURE : =
% 2.70/0.99
% 2.70/0.99 [31] CLOSURE : =
% 2.70/0.99
% 2.70/0.99 [25] GAMMA_FORALL : ! [A18_18, B19_19] : ((subset(set_union2(singleton(A18_18), B19_19), B19_19) => in(A18_18, B19_19)))
% 2.70/0.99 -> [27] (subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717) => in(skolem_A1616, skolem_B1717))
% 2.70/0.99
% 2.70/0.99 [27] BETA_IMPLY : (subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717) => in(skolem_A1616, skolem_B1717))
% 2.70/0.99 -> [29] ~subset(set_union2(singleton(skolem_A1616), skolem_B1717), skolem_B1717)
% 2.70/0.99 -> [30] in(skolem_A1616, skolem_B1717)
% 2.70/0.99
% 2.70/0.99 [30] CLOSURE : =
% 2.70/0.99
% 2.70/0.99 [29] CLOSURE : =
% 2.70/0.99
% 2.70/0.99 % SZS output end Proof for theBenchmark.p
% 2.70/0.99 [0.665917s][1][Res] 3032 goroutines created
% 2.70/0.99 ==== Result ====
% 2.70/0.99 [0.665939s][1][Res] VALID
% 2.70/0.99 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------