TSTP Solution File: SET940+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET940+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 04:17:53 EDT 2022
% Result : Theorem 1.59s 1.04s
% Output : Proof 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET940+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.11 % Command : goeland -dmt -presko -proof %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Sep 3 08:29:12 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.32 [DMT] DMT loaded with preskolemization
% 0.10/0.32 [EQ] equality loaded.
% 0.10/0.32 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.10/0.32 Start search
% 0.10/0.32 nb_step : 1 - limit : 9
% 0.10/0.32 Launch Gotab with destructive = true
% 1.59/1.04 % SZS output start Proof for theBenchmark.p
% 1.59/1.04 [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] : (=(unordered_pair(A6_6, B7_7), unordered_pair(B7_7, A6_6))) & ! [A8_8, B9_9] : (=(set_union2(A8_8, B9_9), set_union2(B9_9, A8_8))) & ! [A10_10, B11_11] : (=(set_union2(A10_10, A10_10), A10_10)) & ? [A12_12] : (empty(A12_12)) & ? [A13_13] : (~empty(A13_13)) & ! [A16_16, B17_17] : (=(union(unordered_pair(A16_16, B17_17)), set_union2(A16_16, B17_17))) & ~! [A14_14, B15_15] : (=(union(unordered_pair(A14_14, B15_15)), set_union2(A14_14, B15_15))))
% 1.59/1.04 -> [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] : (=(unordered_pair(A6_6, B7_7), unordered_pair(B7_7, A6_6))), ! [A8_8, B9_9] : (=(set_union2(A8_8, B9_9), set_union2(B9_9, A8_8))), ! [A10_10, B11_11] : (=(set_union2(A10_10, A10_10), A10_10)), ? [A12_12] : (empty(A12_12)), ? [A13_13] : (~empty(A13_13)), ! [A16_16, B17_17] : (=(union(unordered_pair(A16_16, B17_17)), set_union2(A16_16, B17_17))), ~! [A14_14, B15_15] : (=(union(unordered_pair(A14_14, B15_15)), set_union2(A14_14, B15_15)))
% 1.59/1.04
% 1.59/1.04 [1] DELTA_EXISTS : ? [A12_12] : (empty(A12_12))
% 1.59/1.04 -> [2] empty(skolem_A1212)
% 1.59/1.04
% 1.59/1.04 [2] DELTA_EXISTS : ? [A13_13] : (~empty(A13_13))
% 1.59/1.04 -> [3] ~empty(skolem_A1313)
% 1.59/1.04
% 1.59/1.04 [3] DELTA_NOT_FORALL : ~! [A14_14, B15_15] : (=(union(unordered_pair(A14_14, B15_15)), set_union2(A14_14, B15_15)))
% 1.59/1.04 -> [4] ~=(union(unordered_pair(skolem_A1414, skolem_B1515)), set_union2(skolem_A1414, skolem_B1515))
% 1.59/1.04
% 1.59/1.04 [4] GAMMA_FORALL : ! [A2_2, B3_3] : ((~empty(A2_2) => ~empty(set_union2(A2_2, B3_3))))
% 1.59/1.04 -> [5] (~empty(skolem_A1313) => ~empty(set_union2(skolem_A1313, B3_0_0)))
% 1.59/1.04
% 1.59/1.04 [5] BETA_IMPLY : (~empty(skolem_A1313) => ~empty(set_union2(skolem_A1313, B3_0_0)))
% 1.59/1.04 -> [6] ~~empty(skolem_A1313)
% 1.59/1.04 -> [7] ~empty(set_union2(skolem_A1313, B3_0_0))
% 1.59/1.04
% 1.59/1.04 [6] ALPHA_NOT_NOT : ~~empty(skolem_A1313)
% 1.59/1.04 -> [8] empty(skolem_A1313)
% 1.59/1.04
% 1.59/1.04 [8] CLOSURE : empty(skolem_A1313)
% 1.59/1.04
% 1.59/1.04 [9] BETA_IMPLY : (~empty(skolem_A1212) => ~empty(set_union2(skolem_A1212, skolem_A1212)))
% 1.59/1.04 -> [16] ~~empty(skolem_A1212)
% 1.59/1.04 -> [17] ~empty(set_union2(skolem_A1212, skolem_A1212))
% 1.59/1.04
% 1.59/1.04 [17] GAMMA_FORALL : ! [A6_6, B7_7] : (=(unordered_pair(A6_6, B7_7), unordered_pair(B7_7, A6_6)))
% 1.59/1.04 -> [19] =(unordered_pair(A6_1_2, B7_1_2), unordered_pair(B7_1_2, A6_1_2))
% 1.59/1.04
% 1.59/1.04 [19] GAMMA_FORALL : ! [A8_8, B9_9] : (=(set_union2(A8_8, B9_9), set_union2(B9_9, A8_8)))
% 1.59/1.04 -> [20] =(set_union2(A8_1_3, B9_1_3), set_union2(B9_1_3, A8_1_3))
% 1.59/1.04
% 1.59/1.04 [20] GAMMA_FORALL : ! [A10_10, B11_11] : (=(set_union2(A10_10, A10_10), A10_10))
% 1.59/1.04 -> [21] =(set_union2(A10_1_4, A10_1_4), A10_1_4)
% 1.59/1.04
% 1.59/1.04 [21] CLOSURE : =
% 1.59/1.04
% 1.59/1.04 [18] GAMMA_FORALL : ! [A6_6, B7_7] : (=(unordered_pair(A6_6, B7_7), unordered_pair(B7_7, A6_6)))
% 1.59/1.04 -> [22] =(unordered_pair(A6_2_2, B7_2_2), unordered_pair(B7_2_2, A6_2_2))
% 1.59/1.04
% 1.59/1.04 [22] GAMMA_FORALL : ! [A8_8, B9_9] : (=(set_union2(A8_8, B9_9), set_union2(B9_9, A8_8)))
% 1.59/1.04 -> [23] =(set_union2(A8_2_3, B9_2_3), set_union2(B9_2_3, A8_2_3))
% 1.59/1.04
% 1.59/1.04 [23] GAMMA_FORALL : ! [A10_10, B11_11] : (=(set_union2(A10_10, A10_10), A10_10))
% 1.59/1.04 -> [24] =(set_union2(A10_2_4, A10_2_4), A10_2_4)
% 1.59/1.04
% 1.59/1.04 [24] GAMMA_FORALL : ! [A16_16, B17_17] : (=(union(unordered_pair(A16_16, B17_17)), set_union2(A16_16, B17_17)))
% 1.59/1.04 -> [25] =(union(unordered_pair(A16_0_5, B17_0_5)), set_union2(A16_0_5, B17_0_5))
% 1.59/1.04
% 1.59/1.04 [25] CLOSURE : =(union(unordered_pair(A16_0_5, B17_0_5)), set_union2(A16_0_5, B17_0_5))
% 1.59/1.04
% 1.59/1.04 % SZS output end Proof for theBenchmark.p
% 1.59/1.04 [0.718805s][1][Res] 3125 goroutines created
% 1.59/1.04 ==== Result ====
% 1.59/1.04 [0.718849s][1][Res] VALID
% 1.59/1.04 % SZS status Theorem for theBenchmark.p
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