TSTP Solution File: SEU144+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n014.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 05:55:31 EDT 2022
% Result : Theorem 2.01s 0.71s
% Output : Proof 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU144+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.11/0.32 % Computer : n014.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 09:40:45 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 [DMT] DMT loaded with preskolemization
% 0.11/0.33 [EQ] equality loaded.
% 0.11/0.33 [0.000058s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.33 Start search
% 0.11/0.33 nb_step : 1 - limit : 7
% 0.11/0.33 Launch Gotab with destructive = true
% 2.01/0.71 % SZS output start Proof for theBenchmark.p
% 2.01/0.71 [0] ALPHA_AND : (! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3))) & ! [A5_5, B6_6] : ((=(B6_6, singleton(A5_5)) <=> ! [C7_7] : ((in(C7_7, B6_6) <=> =(C7_7, A5_5))))) & $true & ! [A13_13, B14_14] : (subset(A13_13, A13_13)) & ~! [A11_11, B12_12] : ((subset(singleton(A11_11), B12_12) <=> in(A11_11, B12_12))))
% 2.01/0.71 -> [1] ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3))), ! [A5_5, B6_6] : ((=(B6_6, singleton(A5_5)) <=> ! [C7_7] : ((in(C7_7, B6_6) <=> =(C7_7, A5_5))))), $true, ! [A13_13, B14_14] : (subset(A13_13, A13_13)), ~! [A11_11, B12_12] : ((subset(singleton(A11_11), B12_12) <=> in(A11_11, B12_12)))
% 2.01/0.71
% 2.01/0.71 [1] DELTA_NOT_FORALL : ~! [A11_11, B12_12] : ((subset(singleton(A11_11), B12_12) <=> in(A11_11, B12_12)))
% 2.01/0.71 -> [2] ~(subset(singleton(skolem_A1111), skolem_B1212) <=> in(skolem_A1111, skolem_B1212))
% 2.01/0.71
% 2.01/0.71 [2] BETA_NOT_EQUIV : ~(subset(singleton(skolem_A1111), skolem_B1212) <=> in(skolem_A1111, skolem_B1212))
% 2.01/0.71 -> [3] ~subset(singleton(skolem_A1111), skolem_B1212), in(skolem_A1111, skolem_B1212)
% 2.01/0.71 -> [4] subset(singleton(skolem_A1111), skolem_B1212), ~in(skolem_A1111, skolem_B1212)
% 2.01/0.71
% 2.01/0.71 [3] Rewrite : ~subset(singleton(skolem_A1111), skolem_B1212)
% 2.01/0.71 -> [5] ~(in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)) => in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_B1212))
% 2.01/0.71
% 2.01/0.71 [5] ALPHA_NOT_IMPLY : ~(in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)) => in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_B1212))
% 2.01/0.71 -> [7] in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)), ~in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_B1212)
% 2.01/0.71
% 2.01/0.71 [7] GAMMA_FORALL : ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 2.01/0.71 -> [12] (in(singleton(skolem_A1111), skolem_C1010(singleton(skolem_A1111), skolem_B1212)) => ~in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)))
% 2.01/0.71
% 2.01/0.71 [12] BETA_IMPLY : (in(singleton(skolem_A1111), skolem_C1010(singleton(skolem_A1111), skolem_B1212)) => ~in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)))
% 2.01/0.71 -> [14] ~in(singleton(skolem_A1111), skolem_C1010(singleton(skolem_A1111), skolem_B1212))
% 2.01/0.71 -> [15] ~in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111))
% 2.01/0.71
% 2.01/0.71 [15] CLOSURE : ~in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111))
% 2.01/0.71
% 2.01/0.71 [14] GAMMA_FORALL : ! [A5_5, B6_6] : ((=(B6_6, singleton(A5_5)) <=> ! [C7_7] : ((in(C7_7, B6_6) <=> =(C7_7, A5_5)))))
% 2.01/0.71 -> [38] (=(singleton(skolem_A1111), singleton(skolem_A1111)) <=> ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111))))
% 2.01/0.71
% 2.01/0.71 [38] BETA_EQUIV : (=(singleton(skolem_A1111), singleton(skolem_A1111)) <=> ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111))))
% 2.01/0.71 -> [39] ~=(singleton(skolem_A1111), singleton(skolem_A1111)), ~! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71 -> [40] =(singleton(skolem_A1111), singleton(skolem_A1111)), ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71
% 2.01/0.71 [39] DELTA_NOT_FORALL : ~! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71 -> [41] ~(in(skolem_C77(singleton(skolem_A1111), skolem_A1111), singleton(skolem_A1111)) <=> =(skolem_C77(singleton(skolem_A1111), skolem_A1111), skolem_A1111))
% 2.01/0.71
% 2.01/0.71 [41] CLOSURE : ~! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71
% 2.01/0.71 [40] GAMMA_FORALL : ! [A13_13, B14_14] : (subset(A13_13, A13_13))
% 2.01/0.71 -> [46] subset(A13_2_2, A13_2_2)
% 2.01/0.71
% 2.01/0.71 [46] Rewrite : subset(A13_2_2, A13_2_2)
% 2.01/0.71 -> [56] ! [C10_10] : ((in(C10_10, A13_2_2) => in(C10_10, A13_2_2)))
% 2.01/0.71
% 2.01/0.71 [56] GAMMA_FORALL : ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71 -> [62] (in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)) <=> =(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_A1111))
% 2.01/0.71
% 2.01/0.71 [62] BETA_EQUIV : (in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)) <=> =(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_A1111))
% 2.01/0.71 -> [63] ~in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)), ~=(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_A1111)
% 2.01/0.71 -> [64] in(skolem_C1010(singleton(skolem_A1111), skolem_B1212), singleton(skolem_A1111)), =(skolem_C1010(singleton(skolem_A1111), skolem_B1212), skolem_A1111)
% 2.01/0.71
% 2.01/0.71 [63] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [64] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [4] Rewrite : subset(singleton(skolem_A1111), skolem_B1212)
% 2.01/0.71 -> [6] ! [C10_10] : ((in(C10_10, singleton(skolem_A1111)) => in(C10_10, skolem_B1212)))
% 2.01/0.71
% 2.01/0.71 [6] GAMMA_FORALL : ! [A3_3, B4_4] : ((in(A3_3, B4_4) => ~in(B4_4, A3_3)))
% 2.01/0.71 -> [8] (in(singleton(A5_1_1), A5_1_1) => ~in(A5_1_1, singleton(A5_1_1)))
% 2.01/0.71
% 2.01/0.71 [8] BETA_IMPLY : (in(singleton(A5_1_1), A5_1_1) => ~in(A5_1_1, singleton(A5_1_1)))
% 2.01/0.71 -> [9] ~in(singleton(A5_1_1), A5_1_1)
% 2.01/0.71 -> [10] ~in(A5_1_1, singleton(A5_1_1))
% 2.01/0.71
% 2.01/0.71 [9] GAMMA_FORALL : ! [A5_5, B6_6] : ((=(B6_6, singleton(A5_5)) <=> ! [C7_7] : ((in(C7_7, B6_6) <=> =(C7_7, A5_5)))))
% 2.01/0.71 -> [11] (=(singleton(skolem_A1111), singleton(skolem_A1111)) <=> ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111))))
% 2.01/0.71
% 2.01/0.71 [11] BETA_EQUIV : (=(singleton(skolem_A1111), singleton(skolem_A1111)) <=> ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111))))
% 2.01/0.71 -> [16] ~=(singleton(skolem_A1111), singleton(skolem_A1111)), ~! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71 -> [17] =(singleton(skolem_A1111), singleton(skolem_A1111)), ! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71
% 2.01/0.71 [16] DELTA_NOT_FORALL : ~! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71 -> [20] ~(in(skolem_C77(singleton(skolem_A1111), skolem_A1111), singleton(skolem_A1111)) <=> =(skolem_C77(singleton(skolem_A1111), skolem_A1111), skolem_A1111))
% 2.01/0.71
% 2.01/0.71 [20] CLOSURE : ~! [C7_7] : ((in(C7_7, singleton(skolem_A1111)) <=> =(C7_7, skolem_A1111)))
% 2.01/0.71
% 2.01/0.71 [22] GAMMA_FORALL : ! [C10_10] : ((in(C10_10, singleton(skolem_A1111)) => in(C10_10, skolem_B1212)))
% 2.01/0.71 -> [65] (in(skolem_A1111, singleton(skolem_A1111)) => in(skolem_A1111, skolem_B1212))
% 2.01/0.71
% 2.01/0.71 [65] BETA_IMPLY : (in(skolem_A1111, singleton(skolem_A1111)) => in(skolem_A1111, skolem_B1212))
% 2.01/0.71 -> [66] ~in(skolem_A1111, singleton(skolem_A1111))
% 2.01/0.71 -> [67] in(skolem_A1111, skolem_B1212)
% 2.01/0.71
% 2.01/0.71 [67] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [68] BETA_EQUIV : (in(skolem_A1111, singleton(skolem_A1111)) <=> =(skolem_A1111, skolem_A1111))
% 2.01/0.71 -> [77] ~in(skolem_A1111, singleton(skolem_A1111)), ~=(skolem_A1111, skolem_A1111)
% 2.01/0.71 -> [78] in(skolem_A1111, singleton(skolem_A1111)), =(skolem_A1111, skolem_A1111)
% 2.01/0.71
% 2.01/0.71 [78] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [77] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [10] GAMMA_FORALL : ! [A5_5, B6_6] : ((=(B6_6, singleton(A5_5)) <=> ! [C7_7] : ((in(C7_7, B6_6) <=> =(C7_7, A5_5)))))
% 2.01/0.71 -> [13] (=(singleton(A5_1_1), singleton(A5_1_1)) <=> ! [C7_7] : ((in(C7_7, singleton(A5_1_1)) <=> =(C7_7, A5_1_1))))
% 2.01/0.71
% 2.01/0.71 [13] BETA_EQUIV : (=(singleton(A5_1_1), singleton(A5_1_1)) <=> ! [C7_7] : ((in(C7_7, singleton(A5_1_1)) <=> =(C7_7, A5_1_1))))
% 2.01/0.71 -> [18] ~=(singleton(A5_1_1), singleton(A5_1_1)), ~! [C7_7] : ((in(C7_7, singleton(A5_1_1)) <=> =(C7_7, A5_1_1)))
% 2.01/0.71 -> [19] =(singleton(A5_1_1), singleton(A5_1_1)), ! [C7_7] : ((in(C7_7, singleton(A5_1_1)) <=> =(C7_7, A5_1_1)))
% 2.01/0.71
% 2.01/0.71 [18] DELTA_NOT_FORALL : ~! [C7_7] : ((in(C7_7, singleton(A5_1_1)) <=> =(C7_7, A5_1_1)))
% 2.01/0.71 -> [21] ~(in(skolem_C77(singleton(A5_1_1), A5_1_1), singleton(A5_1_1)) <=> =(skolem_C77(singleton(A5_1_1), A5_1_1), A5_1_1))
% 2.01/0.71
% 2.01/0.71 [21] CLOSURE : ~! [C7_7] : ((in(C7_7, singleton(A5_1_1)) <=> =(C7_7, A5_1_1)))
% 2.01/0.71
% 2.01/0.71 [23] GAMMA_FORALL : ! [C10_10] : ((in(C10_10, singleton(skolem_A1111)) => in(C10_10, skolem_B1212)))
% 2.01/0.71 -> [71] (in(skolem_A1111, singleton(skolem_A1111)) => in(skolem_A1111, skolem_B1212))
% 2.01/0.71
% 2.01/0.71 [71] BETA_IMPLY : (in(skolem_A1111, singleton(skolem_A1111)) => in(skolem_A1111, skolem_B1212))
% 2.01/0.71 -> [72] ~in(skolem_A1111, singleton(skolem_A1111))
% 2.01/0.71 -> [73] in(skolem_A1111, skolem_B1212)
% 2.01/0.71
% 2.01/0.71 [73] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [74] BETA_EQUIV : (in(A5_1_1, singleton(A5_1_1)) <=> =(A5_1_1, A5_1_1))
% 2.01/0.71 -> [79] ~in(A5_1_1, singleton(A5_1_1)), ~=(A5_1_1, A5_1_1)
% 2.01/0.71 -> [80] in(A5_1_1, singleton(A5_1_1)), =(A5_1_1, A5_1_1)
% 2.01/0.71
% 2.01/0.71 [79] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 [80] CLOSURE : =
% 2.01/0.71
% 2.01/0.71 % SZS output end Proof for theBenchmark.p
% 2.01/0.71 [0.375143s][1][Res] 2036 goroutines created
% 2.01/0.71 ==== Result ====
% 2.01/0.71 [0.375183s][1][Res] VALID
% 2.01/0.71 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------