TSTP Solution File: SET899+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n012.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 04:17:46 EDT 2022
% Result : Theorem 0.10s 0.29s
% Output : Proof 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.07 % Command : goeland -dmt -presko -proof %s
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sat Sep 3 08:28:33 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.26 [DMT] DMT loaded with preskolemization
% 0.07/0.26 [EQ] equality loaded.
% 0.07/0.26 [0.000022s][1][MAIN] Problem : theBenchmark.p
% 0.07/0.26 Start search
% 0.07/0.26 nb_step : 1 - limit : 6
% 0.07/0.26 Launch Gotab with destructive = true
% 0.07/0.28 % SZS output start Proof for theBenchmark.p
% 0.10/0.29 [0] ALPHA_AND : (! [A3_3, B4_4] : (subset(A3_3, A3_3)) & ! [A5_5, B6_6] : ((in(A5_5, B6_6) => ~in(B6_6, A5_5))) & ? [A7_7] : (empty(A7_7)) & ? [A8_8] : (~empty(A8_8)) & ! [A12_12, B13_13, C14_14] : ((subset(A12_12, B13_13) => (in(C14_14, A12_12) | subset(A12_12, set_difference(B13_13, singleton(C14_14)))))) & ~! [A9_9, B10_10, C11_11] : ((subset(A9_9, B10_10) => (in(C11_11, A9_9) | subset(A9_9, set_difference(B10_10, singleton(C11_11)))))))
% 0.10/0.29 -> [1] ! [A3_3, B4_4] : (subset(A3_3, A3_3)), ! [A5_5, B6_6] : ((in(A5_5, B6_6) => ~in(B6_6, A5_5))), ? [A7_7] : (empty(A7_7)), ? [A8_8] : (~empty(A8_8)), ! [A12_12, B13_13, C14_14] : ((subset(A12_12, B13_13) => (in(C14_14, A12_12) | subset(A12_12, set_difference(B13_13, singleton(C14_14)))))), ~! [A9_9, B10_10, C11_11] : ((subset(A9_9, B10_10) => (in(C11_11, A9_9) | subset(A9_9, set_difference(B10_10, singleton(C11_11))))))
% 0.10/0.29
% 0.10/0.29 [1] DELTA_EXISTS : ? [A7_7] : (empty(A7_7))
% 0.10/0.29 -> [2] empty(skolem_A77)
% 0.10/0.29
% 0.10/0.29 [2] DELTA_EXISTS : ? [A8_8] : (~empty(A8_8))
% 0.10/0.29 -> [3] ~empty(skolem_A88)
% 0.10/0.29
% 0.10/0.29 [3] DELTA_NOT_FORALL : ~! [A9_9, B10_10, C11_11] : ((subset(A9_9, B10_10) => (in(C11_11, A9_9) | subset(A9_9, set_difference(B10_10, singleton(C11_11))))))
% 0.10/0.29 -> [4] ~(subset(skolem_A99, skolem_B1010) => (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))))
% 0.10/0.29
% 0.10/0.29 [4] ALPHA_NOT_IMPLY : ~(subset(skolem_A99, skolem_B1010) => (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))))
% 0.10/0.29 -> [5] subset(skolem_A99, skolem_B1010), ~(in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111))))
% 0.10/0.29
% 0.10/0.29 [5] ALPHA_NOT_OR : ~(in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111))))
% 0.10/0.29 -> [6] ~in(skolem_C1111, skolem_A99), ~subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))
% 0.10/0.29
% 0.10/0.29 [6] GAMMA_FORALL : ! [A3_3, B4_4] : (subset(A3_3, A3_3))
% 0.10/0.29 -> [7] subset(A3_0_0, A3_0_0)
% 0.10/0.29
% 0.10/0.29 [7] GAMMA_FORALL : ! [A5_5, B6_6] : ((in(A5_5, B6_6) => ~in(B6_6, A5_5)))
% 0.10/0.29 -> [8] (in(A5_0_1, B6_0_1) => ~in(B6_0_1, A5_0_1))
% 0.10/0.29
% 0.10/0.29 [8] BETA_IMPLY : (in(A5_0_1, B6_0_1) => ~in(B6_0_1, A5_0_1))
% 0.10/0.29 -> [9] ~in(A5_0_1, B6_0_1)
% 0.10/0.29 -> [10] ~in(B6_0_1, A5_0_1)
% 0.10/0.29
% 0.10/0.29 [10] GAMMA_FORALL : ! [A12_12, B13_13, C14_14] : ((subset(A12_12, B13_13) => (in(C14_14, A12_12) | subset(A12_12, set_difference(B13_13, singleton(C14_14))))))
% 0.10/0.29 -> [11] (subset(skolem_A99, skolem_B1010) => (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))))
% 0.10/0.29
% 0.10/0.29 [11] BETA_IMPLY : (subset(skolem_A99, skolem_B1010) => (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))))
% 0.10/0.29 -> [12] ~subset(skolem_A99, skolem_B1010)
% 0.10/0.29 -> [13] (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111))))
% 0.10/0.29
% 0.10/0.29 [12] CLOSURE : ~subset(skolem_A99, skolem_B1010)
% 0.10/0.29
% 0.10/0.29 [13] BETA_OR : (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111))))
% 0.10/0.29 -> [21] in(skolem_C1111, skolem_A99)
% 0.10/0.29 -> [22] subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))
% 0.10/0.29
% 0.10/0.29 [21] CLOSURE : in(skolem_C1111, skolem_A99)
% 0.10/0.29
% 0.10/0.29 [22] CLOSURE : subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))
% 0.10/0.29
% 0.10/0.29 [9] GAMMA_FORALL : ! [A12_12, B13_13, C14_14] : ((subset(A12_12, B13_13) => (in(C14_14, A12_12) | subset(A12_12, set_difference(B13_13, singleton(C14_14))))))
% 0.10/0.29 -> [14] (subset(skolem_A99, skolem_B1010) => (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))))
% 0.10/0.29
% 0.10/0.29 [14] BETA_IMPLY : (subset(skolem_A99, skolem_B1010) => (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))))
% 0.10/0.29 -> [17] ~subset(skolem_A99, skolem_B1010)
% 0.10/0.29 -> [18] (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111))))
% 0.10/0.29
% 0.10/0.29 [17] CLOSURE : ~subset(skolem_A99, skolem_B1010)
% 0.10/0.29
% 0.10/0.29 [18] BETA_OR : (in(skolem_C1111, skolem_A99) | subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111))))
% 0.10/0.29 -> [23] in(skolem_C1111, skolem_A99)
% 0.10/0.29 -> [24] subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))
% 0.10/0.29
% 0.10/0.29 [24] CLOSURE : subset(skolem_A99, set_difference(skolem_B1010, singleton(skolem_C1111)))
% 0.10/0.29
% 0.10/0.29 [23] CLOSURE : in(skolem_C1111, skolem_A99)
% 0.10/0.29
% 0.10/0.29 % SZS output end Proof for theBenchmark.p
% 0.10/0.29 [0.025175s][1][Res] 200 goroutines created
% 0.10/0.29 ==== Result ====
% 0.10/0.29 [0.025208s][1][Res] VALID
% 0.10/0.29 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------