TSTP Solution File: SET045+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 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 04:15:01 EDT 2022
% Result : Theorem 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 01:47:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000035s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 5
% 0.13/0.35 Launch Gotab with destructive = true
% 0.21/0.43 % SZS output start Proof for theBenchmark.p
% 0.21/0.43 [0] ALPHA_AND : (! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5)))))) & ~~? [Z6_6] : (! [X7_7] : (element(X7_7, Z6_6))))
% 0.21/0.43 -> [1] ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5)))))), ~~? [Z6_6] : (! [X7_7] : (element(X7_7, Z6_6)))
% 0.21/0.43
% 0.21/0.43 [1] ALPHA_NOT_NOT : ~~? [Z6_6] : (! [X7_7] : (element(X7_7, Z6_6)))
% 0.21/0.43 -> [2] ? [Z6_6] : (! [X7_7] : (element(X7_7, Z6_6)))
% 0.21/0.43
% 0.21/0.43 [2] DELTA_EXISTS : ? [Z6_6] : (! [X7_7] : (element(X7_7, Z6_6)))
% 0.21/0.43 -> [3] ! [X7_7] : (element(X7_7, skolem_Z66))
% 0.21/0.43
% 0.21/0.43 [3] GAMMA_FORALL : ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43 -> [4] ? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, skolem_Y44(Z3_1_0)) & ~element(X5_5, X5_5)))))
% 0.21/0.43
% 0.21/0.43 [4] DELTA_EXISTS : ? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, skolem_Y44(Z3_1_0)) & ~element(X5_5, X5_5)))))
% 0.21/0.43 -> [5] ! [X5_5] : ((element(X5_5, skolem_Y44(skolem_Y44(Z3_1_0))) <=> (element(X5_5, skolem_Y44(Z3_1_0)) & ~element(X5_5, X5_5))))
% 0.21/0.43
% 0.21/0.43 [5] GAMMA_FORALL : ! [X7_7] : (element(X7_7, skolem_Z66))
% 0.21/0.43 -> [6] element(skolem_Y44(skolem_Z66), skolem_Z66)
% 0.21/0.43
% 0.21/0.43 [6] GAMMA_FORALL : ! [X5_5] : ((element(X5_5, skolem_Y44(skolem_Y44(Z3_1_0))) <=> (element(X5_5, skolem_Y44(Z3_1_0)) & ~element(X5_5, X5_5))))
% 0.21/0.43 -> [7] (element(skolem_Y44(Z3_1_0), skolem_Y44(skolem_Y44(Z3_1_0))) <=> (element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))))
% 0.21/0.43
% 0.21/0.43 [7] BETA_EQUIV : (element(skolem_Y44(Z3_1_0), skolem_Y44(skolem_Y44(Z3_1_0))) <=> (element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))))
% 0.21/0.43 -> [8] ~element(skolem_Y44(Z3_1_0), skolem_Y44(skolem_Y44(Z3_1_0))), ~(element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43 -> [9] element(skolem_Y44(Z3_1_0), skolem_Y44(skolem_Y44(Z3_1_0))), (element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43
% 0.21/0.43 [9] ALPHA_AND : (element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43 -> [12] element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)), ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [12] CLOSURE : ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [8] BETA_NOT_AND : ~(element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43 -> [14] ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43 -> [15] ~~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [15] ALPHA_NOT_NOT : ~~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43 -> [16] element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [16] ALPHA_NOT_NOT : ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43 -> [17] ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43
% 0.21/0.43 [17] GAMMA_FORALL : ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43 -> [18] ? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_1_0) & ~element(X5_5, X5_5)))))
% 0.21/0.43
% 0.21/0.43 [18] DELTA_EXISTS : ? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_1_0) & ~element(X5_5, X5_5)))))
% 0.21/0.43 -> [19] ! [X5_5] : ((element(X5_5, skolem_Y44(Z3_1_0)) <=> (element(X5_5, Z3_1_0) & ~element(X5_5, X5_5))))
% 0.21/0.43
% 0.21/0.43 [19] GAMMA_FORALL : ! [X5_5] : ((element(X5_5, skolem_Y44(Z3_1_0)) <=> (element(X5_5, Z3_1_0) & ~element(X5_5, X5_5))))
% 0.21/0.43 -> [20] (element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) <=> (element(skolem_Y44(Z3_1_0), Z3_1_0) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))))
% 0.21/0.43
% 0.21/0.43 [20] BETA_EQUIV : (element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)) <=> (element(skolem_Y44(Z3_1_0), Z3_1_0) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))))
% 0.21/0.43 -> [21] ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)), ~(element(skolem_Y44(Z3_1_0), Z3_1_0) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43 -> [22] element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)), (element(skolem_Y44(Z3_1_0), Z3_1_0) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43
% 0.21/0.43 [22] ALPHA_AND : (element(skolem_Y44(Z3_1_0), Z3_1_0) & ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0)))
% 0.21/0.43 -> [23] element(skolem_Y44(Z3_1_0), Z3_1_0), ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [23] CLOSURE : ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [21] CLOSURE : ~element(skolem_Y44(Z3_1_0), skolem_Y44(Z3_1_0))
% 0.21/0.43
% 0.21/0.43 [14] : ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43 -> [30] ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43
% 0.21/0.43 [30] GAMMA_FORALL : ! [Z3_3] : (? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, Z3_3) & ~element(X5_5, X5_5))))))
% 0.21/0.43 -> [31] ? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, skolem_Z66) & ~element(X5_5, X5_5)))))
% 0.21/0.43
% 0.21/0.43 [31] DELTA_EXISTS : ? [Y4_4] : (! [X5_5] : ((element(X5_5, Y4_4) <=> (element(X5_5, skolem_Z66) & ~element(X5_5, X5_5)))))
% 0.21/0.43 -> [32] ! [X5_5] : ((element(X5_5, skolem_Y44(skolem_Z66)) <=> (element(X5_5, skolem_Z66) & ~element(X5_5, X5_5))))
% 0.21/0.43
% 0.21/0.43 [32] GAMMA_FORALL : ! [X5_5] : ((element(X5_5, skolem_Y44(skolem_Z66)) <=> (element(X5_5, skolem_Z66) & ~element(X5_5, X5_5))))
% 0.21/0.43 -> [33] (element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)) <=> (element(skolem_Y44(skolem_Z66), skolem_Z66) & ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))))
% 0.21/0.43
% 0.21/0.43 [33] BETA_EQUIV : (element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)) <=> (element(skolem_Y44(skolem_Z66), skolem_Z66) & ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))))
% 0.21/0.43 -> [34] ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)), ~(element(skolem_Y44(skolem_Z66), skolem_Z66) & ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)))
% 0.21/0.43 -> [35] element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)), (element(skolem_Y44(skolem_Z66), skolem_Z66) & ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)))
% 0.21/0.43
% 0.21/0.43 [35] ALPHA_AND : (element(skolem_Y44(skolem_Z66), skolem_Z66) & ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)))
% 0.21/0.43 -> [38] element(skolem_Y44(skolem_Z66), skolem_Z66), ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))
% 0.21/0.43
% 0.21/0.43 [38] CLOSURE : ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))
% 0.21/0.43
% 0.21/0.43 [34] BETA_NOT_AND : ~(element(skolem_Y44(skolem_Z66), skolem_Z66) & ~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66)))
% 0.21/0.43 -> [49] ~element(skolem_Y44(skolem_Z66), skolem_Z66)
% 0.21/0.43 -> [50] ~~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))
% 0.21/0.43
% 0.21/0.43 [49] CLOSURE : ~element(skolem_Y44(skolem_Z66), skolem_Z66)
% 0.21/0.43
% 0.21/0.43 [50] ALPHA_NOT_NOT : ~~element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))
% 0.21/0.43 -> [51] element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))
% 0.21/0.43
% 0.21/0.43 [51] CLOSURE : element(skolem_Y44(skolem_Z66), skolem_Y44(skolem_Z66))
% 0.21/0.43
% 0.21/0.43 % SZS output end Proof for theBenchmark.p
% 0.21/0.43 [0.081071s][1][Res] 122 goroutines created
% 0.21/0.43 ==== Result ====
% 0.21/0.43 [0.081105s][1][Res] VALID
% 0.21/0.43 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------