TSTP Solution File: SEU161+3 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 05:55:39 EDT 2022
% Result : Theorem 4.42s 1.47s
% Output : Proof 4.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Sep 3 09:47:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 9
% 0.13/0.34 Launch Gotab with destructive = true
% 4.42/1.47 % SZS output start Proof for theBenchmark.p
% 4.42/1.47 [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] : ((in(A10_10, B11_11) => ~in(B11_11, A10_10))) & ? [A12_12] : (empty(A12_12)) & ? [A13_13] : (~empty(A13_13)) & ! [A16_16, B17_17] : ((in(A16_16, B17_17) => =(set_union2(singleton(A16_16), B17_17), B17_17))) & ~! [A14_14, B15_15] : ((in(A14_14, B15_15) => =(set_union2(singleton(A14_14), B15_15), B15_15))))
% 4.42/1.47 -> [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] : ((in(A10_10, B11_11) => ~in(B11_11, A10_10))), ? [A12_12] : (empty(A12_12)), ? [A13_13] : (~empty(A13_13)), ! [A16_16, B17_17] : ((in(A16_16, B17_17) => =(set_union2(singleton(A16_16), B17_17), B17_17))), ~! [A14_14, B15_15] : ((in(A14_14, B15_15) => =(set_union2(singleton(A14_14), B15_15), B15_15)))
% 4.42/1.47
% 4.42/1.47 [1] DELTA_EXISTS : ? [A12_12] : (empty(A12_12))
% 4.42/1.47 -> [2] empty(skolem_A1212)
% 4.42/1.47
% 4.42/1.47 [2] DELTA_EXISTS : ? [A13_13] : (~empty(A13_13))
% 4.42/1.47 -> [3] ~empty(skolem_A1313)
% 4.42/1.47
% 4.42/1.47 [3] DELTA_NOT_FORALL : ~! [A14_14, B15_15] : ((in(A14_14, B15_15) => =(set_union2(singleton(A14_14), B15_15), B15_15)))
% 4.42/1.47 -> [4] ~(in(skolem_A1414, skolem_B1515) => =(set_union2(singleton(skolem_A1414), skolem_B1515), skolem_B1515))
% 4.42/1.47
% 4.42/1.47 [4] ALPHA_NOT_IMPLY : ~(in(skolem_A1414, skolem_B1515) => =(set_union2(singleton(skolem_A1414), skolem_B1515), skolem_B1515))
% 4.42/1.47 -> [5] in(skolem_A1414, skolem_B1515), ~=(set_union2(singleton(skolem_A1414), skolem_B1515), skolem_B1515)
% 4.42/1.47
% 4.42/1.47 [5] GAMMA_FORALL : ! [A2_2, B3_3] : ((~empty(A2_2) => ~empty(set_union2(A2_2, B3_3))))
% 4.42/1.47 -> [6] (~empty(skolem_A1313) => ~empty(set_union2(skolem_A1313, B3_0_0)))
% 4.42/1.47
% 4.42/1.47 [6] BETA_IMPLY : (~empty(skolem_A1313) => ~empty(set_union2(skolem_A1313, B3_0_0)))
% 4.42/1.47 -> [7] ~~empty(skolem_A1313)
% 4.42/1.47 -> [8] ~empty(set_union2(skolem_A1313, B3_0_0))
% 4.42/1.47
% 4.42/1.47 [7] ALPHA_NOT_NOT : ~~empty(skolem_A1313)
% 4.42/1.47 -> [9] empty(skolem_A1313)
% 4.42/1.47
% 4.42/1.47 [9] CLOSURE : empty(skolem_A1313)
% 4.42/1.47
% 4.42/1.47 [10] BETA_IMPLY : (~empty(skolem_A1212) => ~empty(set_union2(skolem_A1212, skolem_A1212)))
% 4.42/1.47 -> [16] ~~empty(skolem_A1212)
% 4.42/1.47 -> [17] ~empty(set_union2(skolem_A1212, skolem_A1212))
% 4.42/1.47
% 4.42/1.47 [17] GAMMA_FORALL : ! [A6_6, B7_7] : (=(set_union2(A6_6, B7_7), set_union2(B7_7, A6_6)))
% 4.42/1.47 -> [19] =(set_union2(A6_1_2, B7_1_2), set_union2(B7_1_2, A6_1_2))
% 4.42/1.47
% 4.42/1.47 [19] GAMMA_FORALL : ! [A8_8, B9_9] : (=(set_union2(A8_8, A8_8), A8_8))
% 4.42/1.47 -> [20] =(set_union2(A8_1_3, A8_1_3), A8_1_3)
% 4.42/1.47
% 4.42/1.47 [20] CLOSURE : =
% 4.42/1.47
% 4.42/1.47 [18] GAMMA_FORALL : ! [A6_6, B7_7] : (=(set_union2(A6_6, B7_7), set_union2(B7_7, A6_6)))
% 4.42/1.47 -> [21] =(set_union2(A6_2_2, B7_2_2), set_union2(B7_2_2, A6_2_2))
% 4.42/1.47
% 4.42/1.47 [21] GAMMA_FORALL : ! [A8_8, B9_9] : (=(set_union2(A8_8, A8_8), A8_8))
% 4.42/1.47 -> [22] =(set_union2(A8_2_3, A8_2_3), A8_2_3)
% 4.42/1.47
% 4.42/1.47 [22] GAMMA_FORALL : ! [A10_10, B11_11] : ((in(A10_10, B11_11) => ~in(B11_11, A10_10)))
% 4.42/1.47 -> [23] (in(skolem_B1515, skolem_A1414) => ~in(skolem_A1414, skolem_B1515))
% 4.42/1.47
% 4.42/1.47 [23] BETA_IMPLY : (in(skolem_B1515, skolem_A1414) => ~in(skolem_A1414, skolem_B1515))
% 4.42/1.47 -> [24] ~in(skolem_B1515, skolem_A1414)
% 4.42/1.47 -> [25] ~in(skolem_A1414, skolem_B1515)
% 4.42/1.47
% 4.42/1.47 [25] CLOSURE : =
% 4.42/1.47
% 4.42/1.47 [24] GAMMA_FORALL : ! [A16_16, B17_17] : ((in(A16_16, B17_17) => =(set_union2(singleton(A16_16), B17_17), B17_17)))
% 4.42/1.47 -> [26] (in(skolem_A1414, skolem_B1515) => =(set_union2(singleton(skolem_A1414), skolem_B1515), skolem_B1515))
% 4.42/1.47
% 4.42/1.47 [26] BETA_IMPLY : (in(skolem_A1414, skolem_B1515) => =(set_union2(singleton(skolem_A1414), skolem_B1515), skolem_B1515))
% 4.42/1.47 -> [27] ~in(skolem_A1414, skolem_B1515)
% 4.42/1.47 -> [28] =(set_union2(singleton(skolem_A1414), skolem_B1515), skolem_B1515)
% 4.42/1.47
% 4.42/1.47 [27] CLOSURE : =
% 4.42/1.47
% 4.42/1.47 [28] CLOSURE : =
% 4.42/1.47
% 4.42/1.47 % SZS output end Proof for theBenchmark.p
% 4.42/1.47 [1.125669s][1][Res] 4230 goroutines created
% 4.42/1.47 ==== Result ====
% 4.42/1.47 [1.125700s][1][Res] VALID
% 4.42/1.47 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------