TSTP Solution File: SET581+3 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n005.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 04:16:41 EDT 2022
% Result : Theorem 12.50s 3.44s
% Output : Proof 12.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET581+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Sep 3 06:47:18 EDT 2022
% 0.12/0.33 % 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
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 9
% 0.12/0.34 Launch Gotab with destructive = true
% 12.50/3.44 % SZS output start Proof for theBenchmark.p
% 12.50/3.44 [0] ALPHA_AND : (! [B6_6] : (~member(B6_6, empty_set)) & ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> ! [D9_9] : ((member(D9_9, B7_7) <=> member(D9_9, C8_8))))) & ! [B10_10, C11_11] : ((not_equal(B10_10, C11_11) <=> ~=(B10_10, C11_11))) & ! [B12_12, C13_13] : (=(intersection(B12_12, C13_13), intersection(C13_13, B12_12))) & ~! [B16_16, C17_17, D18_18] : (((member(B16_16, C17_17) & member(B16_16, D18_18)) => not_equal(intersection(C17_17, D18_18), empty_set))))
% 12.50/3.44 -> [1] ! [B6_6] : (~member(B6_6, empty_set)), ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> ! [D9_9] : ((member(D9_9, B7_7) <=> member(D9_9, C8_8))))), ! [B10_10, C11_11] : ((not_equal(B10_10, C11_11) <=> ~=(B10_10, C11_11))), ! [B12_12, C13_13] : (=(intersection(B12_12, C13_13), intersection(C13_13, B12_12))), ~! [B16_16, C17_17, D18_18] : (((member(B16_16, C17_17) & member(B16_16, D18_18)) => not_equal(intersection(C17_17, D18_18), empty_set)))
% 12.50/3.44
% 12.50/3.44 [1] DELTA_NOT_FORALL : ~! [B16_16, C17_17, D18_18] : (((member(B16_16, C17_17) & member(B16_16, D18_18)) => not_equal(intersection(C17_17, D18_18), empty_set)))
% 12.50/3.44 -> [2] ~((member(skolem_B1616, skolem_C1717) & member(skolem_B1616, skolem_D1818)) => not_equal(intersection(skolem_C1717, skolem_D1818), empty_set))
% 12.50/3.44
% 12.50/3.44 [2] ALPHA_NOT_IMPLY : ~((member(skolem_B1616, skolem_C1717) & member(skolem_B1616, skolem_D1818)) => not_equal(intersection(skolem_C1717, skolem_D1818), empty_set))
% 12.50/3.44 -> [3] (member(skolem_B1616, skolem_C1717) & member(skolem_B1616, skolem_D1818)), ~not_equal(intersection(skolem_C1717, skolem_D1818), empty_set)
% 12.50/3.44
% 12.50/3.44 [3] ALPHA_AND : (member(skolem_B1616, skolem_C1717) & member(skolem_B1616, skolem_D1818))
% 12.50/3.44 -> [4] member(skolem_B1616, skolem_C1717), member(skolem_B1616, skolem_D1818)
% 12.50/3.44
% 12.50/3.44 [4] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 12.50/3.44 -> [5] ~member(B6_0_0, empty_set)
% 12.50/3.44
% 12.50/3.44 [5] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> ! [D9_9] : ((member(D9_9, B7_7) <=> member(D9_9, C8_8)))))
% 12.50/3.44 -> [6] (=(skolem_C1717, skolem_C1717) <=> ! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717))))
% 12.50/3.44
% 12.50/3.44 [6] BETA_EQUIV : (=(skolem_C1717, skolem_C1717) <=> ! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717))))
% 12.50/3.44 -> [7] ~=(skolem_C1717, skolem_C1717), ~! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717)))
% 12.50/3.44 -> [8] =(skolem_C1717, skolem_C1717), ! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717)))
% 12.50/3.44
% 12.50/3.44 [7] DELTA_NOT_FORALL : ~! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717)))
% 12.50/3.44 -> [9] ~(member(skolem_D99(skolem_C1717, skolem_C1717), skolem_C1717) <=> member(skolem_D99(skolem_C1717, skolem_C1717), skolem_C1717))
% 12.50/3.44
% 12.50/3.44 [9] CLOSURE : ~! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717)))
% 12.50/3.44
% 12.50/3.44 [8] GAMMA_FORALL : ! [B10_10, C11_11] : ((not_equal(B10_10, C11_11) <=> ~=(B10_10, C11_11)))
% 12.50/3.44 -> [10] (not_equal(intersection(skolem_C1717, skolem_D1818), empty_set) <=> ~=(intersection(skolem_C1717, skolem_D1818), empty_set))
% 12.50/3.44
% 12.50/3.44 [10] BETA_EQUIV : (not_equal(intersection(skolem_C1717, skolem_D1818), empty_set) <=> ~=(intersection(skolem_C1717, skolem_D1818), empty_set))
% 12.50/3.44 -> [11] ~not_equal(intersection(skolem_C1717, skolem_D1818), empty_set), ~~=(intersection(skolem_C1717, skolem_D1818), empty_set)
% 12.50/3.44 -> [12] not_equal(intersection(skolem_C1717, skolem_D1818), empty_set), ~=(intersection(skolem_C1717, skolem_D1818), empty_set)
% 12.50/3.44
% 12.50/3.44 [12] CLOSURE : =
% 12.50/3.44
% 12.50/3.44 [13] GAMMA_FORALL : ! [B12_12, C13_13] : (=(intersection(B12_12, C13_13), intersection(C13_13, B12_12)))
% 12.50/3.44 -> [14] =(intersection(B12_0_3, C13_0_3), intersection(C13_0_3, B12_0_3))
% 12.50/3.44
% 12.50/3.44 [14] GAMMA_FORALL : ! [D9_9] : ((member(D9_9, skolem_C1717) <=> member(D9_9, skolem_C1717)))
% 12.50/3.44 -> [15] (member(skolem_B1616, skolem_C1717) <=> member(skolem_B1616, skolem_C1717))
% 12.50/3.44
% 12.50/3.44 [15] BETA_EQUIV : (member(skolem_B1616, skolem_C1717) <=> member(skolem_B1616, skolem_C1717))
% 12.50/3.44 -> [16] ~member(skolem_B1616, skolem_C1717)
% 12.50/3.44 -> [17] member(skolem_B1616, skolem_C1717)
% 12.50/3.44
% 12.50/3.44 [16] CLOSURE : =
% 12.50/3.44
% 12.50/3.44 [17] : ! [B6_6] : (~member(B6_6, empty_set))
% 12.50/3.44 -> [18] ! [B6_6] : (~member(B6_6, empty_set))
% 12.50/3.44
% 12.50/3.44 [18] GAMMA_FORALL : ! [B6_6] : (~member(B6_6, empty_set))
% 12.50/3.44 -> [19] ~member(skolem_B1616, empty_set)
% 12.50/3.44
% 12.50/3.44 [19] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> ! [D9_9] : ((member(D9_9, B7_7) <=> member(D9_9, C8_8)))))
% 12.50/3.44 -> [20] ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> ! [D9_9] : ((member(D9_9, B7_7) <=> member(D9_9, C8_8)))))
% 12.50/3.44
% 12.50/3.44 [20] GAMMA_FORALL : ! [B7_7, C8_8] : ((=(B7_7, C8_8) <=> ! [D9_9] : ((member(D9_9, B7_7) <=> member(D9_9, C8_8)))))
% 12.50/3.44 -> [21] (=(intersection(skolem_C1717, skolem_D1818), intersection(skolem_C1717, skolem_D1818)) <=> ! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818)))))
% 12.50/3.44
% 12.50/3.44 [21] BETA_EQUIV : (=(intersection(skolem_C1717, skolem_D1818), intersection(skolem_C1717, skolem_D1818)) <=> ! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818)))))
% 12.50/3.44 -> [22] ~=(intersection(skolem_C1717, skolem_D1818), intersection(skolem_C1717, skolem_D1818)), ~! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818))))
% 12.50/3.44 -> [23] =(intersection(skolem_C1717, skolem_D1818), intersection(skolem_C1717, skolem_D1818)), ! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818))))
% 12.50/3.44
% 12.50/3.44 [22] DELTA_NOT_FORALL : ~! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818))))
% 12.50/3.44 -> [24] ~(member(skolem_D99(intersection(skolem_C1717, skolem_D1818), intersection(skolem_C1717, skolem_D1818)), intersection(skolem_C1717, skolem_D1818)) <=> member(skolem_D99(intersection(skolem_C1717, skolem_D1818), intersection(skolem_C1717, skolem_D1818)), intersection(skolem_C1717, skolem_D1818)))
% 12.50/3.44
% 12.50/3.44 [24] CLOSURE : ~! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818))))
% 12.50/3.44
% 12.50/3.44 [23] GAMMA_FORALL : ! [D9_9] : ((member(D9_9, intersection(skolem_C1717, skolem_D1818)) <=> member(D9_9, intersection(skolem_C1717, skolem_D1818))))
% 12.50/3.44 -> [25] (member(skolem_B1616, intersection(skolem_C1717, skolem_D1818)) <=> member(skolem_B1616, intersection(skolem_C1717, skolem_D1818)))
% 12.50/3.44
% 12.50/3.44 [25] BETA_EQUIV : (member(skolem_B1616, intersection(skolem_C1717, skolem_D1818)) <=> member(skolem_B1616, intersection(skolem_C1717, skolem_D1818)))
% 12.50/3.44 -> [26] ~member(skolem_B1616, intersection(skolem_C1717, skolem_D1818))
% 12.50/3.44 -> [27] member(skolem_B1616, intersection(skolem_C1717, skolem_D1818))
% 12.50/3.44
% 12.50/3.44 [27] CLOSURE : =
% 12.50/3.44
% 12.50/3.44 [26] Rewrite : ~member(skolem_B1616, intersection(skolem_C1717, skolem_D1818))
% 12.50/3.44 -> [28] ~(member(skolem_B1616, skolem_C1717) & member(skolem_B1616, skolem_D1818))
% 12.50/3.44
% 12.50/3.44 [28] BETA_NOT_AND : ~(member(skolem_B1616, skolem_C1717) & member(skolem_B1616, skolem_D1818))
% 12.50/3.44 -> [29] ~member(skolem_B1616, skolem_C1717)
% 12.50/3.44 -> [30] ~member(skolem_B1616, skolem_D1818)
% 12.50/3.44
% 12.50/3.44 [30] CLOSURE : =
% 12.50/3.44
% 12.50/3.44 [29] CLOSURE : =
% 12.50/3.44
% 12.50/3.44 % SZS output end Proof for theBenchmark.p
% 12.50/3.44 [3.105447s][1][Res] 22492 goroutines created
% 12.50/3.44 ==== Result ====
% 12.50/3.44 [3.105468s][1][Res] VALID
% 12.50/3.44 % SZS status Theorem for theBenchmark.p
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