TSTP Solution File: SET917+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET917+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 04:17:49 EDT 2022
% Result : Theorem 43.21s 6.90s
% Output : Proof 43.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n010.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 08:25:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000049s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 9
% 0.12/0.35 Launch Gotab with destructive = true
% 43.21/6.90 % SZS output start Proof for theBenchmark.p
% 43.21/6.90 [0] ALPHA_AND : (! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))) & ! [A4_4, B5_5] : (=(set_intersection2(A4_4, B5_5), set_intersection2(B5_5, A4_4))) & ! [A6_6, B7_7] : (=(set_intersection2(A6_6, A6_6), A6_6)) & ! [A8_8, B9_9] : ((~in(A8_8, B9_9) => disjoint(singleton(A8_8), B9_9))) & ! [A10_10, B11_11] : ((in(A10_10, B11_11) => =(set_intersection2(B11_11, singleton(A10_10)), singleton(A10_10)))) & ? [A12_12] : (empty(A12_12)) & ? [A13_13] : (~empty(A13_13)) & ! [A14_14, B15_15] : ((disjoint(A14_14, B15_15) => disjoint(B15_15, A14_14))) & ~! [A16_16, B17_17] : ((disjoint(singleton(A16_16), B17_17) | =(set_intersection2(singleton(A16_16), B17_17), singleton(A16_16)))))
% 43.21/6.90 -> [1] ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2))), ! [A4_4, B5_5] : (=(set_intersection2(A4_4, B5_5), set_intersection2(B5_5, A4_4))), ! [A6_6, B7_7] : (=(set_intersection2(A6_6, A6_6), A6_6)), ! [A8_8, B9_9] : ((~in(A8_8, B9_9) => disjoint(singleton(A8_8), B9_9))), ! [A10_10, B11_11] : ((in(A10_10, B11_11) => =(set_intersection2(B11_11, singleton(A10_10)), singleton(A10_10)))), ? [A12_12] : (empty(A12_12)), ? [A13_13] : (~empty(A13_13)), ! [A14_14, B15_15] : ((disjoint(A14_14, B15_15) => disjoint(B15_15, A14_14))), ~! [A16_16, B17_17] : ((disjoint(singleton(A16_16), B17_17) | =(set_intersection2(singleton(A16_16), B17_17), singleton(A16_16))))
% 43.21/6.90
% 43.21/6.90 [1] DELTA_EXISTS : ? [A12_12] : (empty(A12_12))
% 43.21/6.90 -> [2] empty(skolem_A1212)
% 43.21/6.90
% 43.21/6.90 [2] DELTA_EXISTS : ? [A13_13] : (~empty(A13_13))
% 43.21/6.90 -> [3] ~empty(skolem_A1313)
% 43.21/6.90
% 43.21/6.90 [3] DELTA_NOT_FORALL : ~! [A16_16, B17_17] : ((disjoint(singleton(A16_16), B17_17) | =(set_intersection2(singleton(A16_16), B17_17), singleton(A16_16))))
% 43.21/6.90 -> [4] ~(disjoint(singleton(skolem_A1616), skolem_B1717) | =(set_intersection2(singleton(skolem_A1616), skolem_B1717), singleton(skolem_A1616)))
% 43.21/6.90
% 43.21/6.90 [4] ALPHA_NOT_OR : ~(disjoint(singleton(skolem_A1616), skolem_B1717) | =(set_intersection2(singleton(skolem_A1616), skolem_B1717), singleton(skolem_A1616)))
% 43.21/6.90 -> [5] ~disjoint(singleton(skolem_A1616), skolem_B1717), ~=(set_intersection2(singleton(skolem_A1616), skolem_B1717), singleton(skolem_A1616))
% 43.21/6.90
% 43.21/6.90 [5] GAMMA_FORALL : ! [A2_2, B3_3] : ((in(A2_2, B3_3) => ~in(B3_3, A2_2)))
% 43.21/6.90 -> [6] (in(skolem_A1616, skolem_B1717) => ~in(skolem_B1717, skolem_A1616))
% 43.21/6.90
% 43.21/6.90 [6] BETA_IMPLY : (in(skolem_A1616, skolem_B1717) => ~in(skolem_B1717, skolem_A1616))
% 43.21/6.90 -> [7] ~in(skolem_A1616, skolem_B1717)
% 43.21/6.90 -> [8] ~in(skolem_B1717, skolem_A1616)
% 43.21/6.90
% 43.21/6.90 [7] GAMMA_FORALL : ! [A4_4, B5_5] : (=(set_intersection2(A4_4, B5_5), set_intersection2(B5_5, A4_4)))
% 43.21/6.90 -> [9] =(set_intersection2(A4_0_1, B5_0_1), set_intersection2(B5_0_1, A4_0_1))
% 43.21/6.90
% 43.21/6.90 [9] GAMMA_FORALL : ! [A6_6, B7_7] : (=(set_intersection2(A6_6, A6_6), A6_6))
% 43.21/6.90 -> [12] =(set_intersection2(A6_1_2, A6_1_2), A6_1_2)
% 43.21/6.90
% 43.21/6.90 [12] GAMMA_FORALL : ! [A8_8, B9_9] : ((~in(A8_8, B9_9) => disjoint(singleton(A8_8), B9_9)))
% 43.21/6.90 -> [13] (~in(skolem_A1616, skolem_B1717) => disjoint(singleton(skolem_A1616), skolem_B1717))
% 43.21/6.90
% 43.21/6.90 [13] BETA_IMPLY : (~in(skolem_A1616, skolem_B1717) => disjoint(singleton(skolem_A1616), skolem_B1717))
% 43.21/6.90 -> [14] ~~in(skolem_A1616, skolem_B1717)
% 43.21/6.90 -> [15] disjoint(singleton(skolem_A1616), skolem_B1717)
% 43.21/6.90
% 43.21/6.90 [15] CLOSURE : =
% 43.21/6.90
% 43.21/6.90 [19] CLOSURE : =
% 43.21/6.90
% 43.21/6.90 [16] BETA_IMPLY : (~in(skolem_A1616, skolem_B1717) => disjoint(singleton(skolem_A1616), skolem_B1717))
% 43.21/6.90 -> [21] ~~in(skolem_A1616, skolem_B1717)
% 43.21/6.90 -> [22] disjoint(singleton(skolem_A1616), skolem_B1717)
% 43.21/6.90
% 43.21/6.90 [22] CLOSURE : =
% 43.21/6.90
% 43.21/6.90 [23] GAMMA_FORALL : ! [A10_10, B11_11] : ((in(A10_10, B11_11) => =(set_intersection2(B11_11, singleton(A10_10)), singleton(A10_10))))
% 43.21/6.90 -> [54] (in(skolem_A1616, skolem_B1717) => =(set_intersection2(skolem_B1717, singleton(skolem_A1616)), singleton(skolem_A1616)))
% 43.21/6.90
% 43.21/6.90 [54] BETA_IMPLY : (in(skolem_A1616, skolem_B1717) => =(set_intersection2(skolem_B1717, singleton(skolem_A1616)), singleton(skolem_A1616)))
% 43.21/6.90 -> [55] ~in(skolem_A1616, skolem_B1717)
% 43.21/6.90 -> [56] =(set_intersection2(skolem_B1717, singleton(skolem_A1616)), singleton(skolem_A1616))
% 43.21/6.90
% 43.21/6.90 [55] CLOSURE : =
% 43.21/6.90
% 43.21/6.90 [56] CLOSURE : =
% 43.21/6.90
% 43.21/6.90 % SZS output end Proof for theBenchmark.p
% 43.21/6.90 [6.554612s][1][Res] 39034 goroutines created
% 43.21/6.90 ==== Result ====
% 43.21/6.90 [6.554641s][1][Res] VALID
% 43.21/6.90 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------