TSTP Solution File: SYN366+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n027.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 : Thu Sep 29 22:23:12 EDT 2022
% Result : Theorem 0.14s 0.37s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Sep 5 03:11:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 [DMT] DMT loaded with preskolemization
% 0.14/0.36 [EQ] equality loaded.
% 0.14/0.36 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.36 Start search
% 0.14/0.36 nb_step : 1 - limit : 4
% 0.14/0.36 Launch Gotab with destructive = true
% 0.14/0.37 % SZS output start Proof for theBenchmark.p
% 0.14/0.37 [0] ALPHA_NOT_IMPLY : ~((! [U6_6, V7_7] : ((big_r(U6_6, U6_6) <=> big_r(U6_6, V7_7))) & ! [W8_8, Z9_9] : ((big_r(W8_8, W8_8) <=> big_r(Z9_9, W8_8)))) => (? [X10_10] : (big_r(X10_10, X10_10)) => ! [Y11_11] : (big_r(Y11_11, Y11_11))))
% 0.14/0.37 -> [1] (! [U6_6, V7_7] : ((big_r(U6_6, U6_6) <=> big_r(U6_6, V7_7))) & ! [W8_8, Z9_9] : ((big_r(W8_8, W8_8) <=> big_r(Z9_9, W8_8)))), ~(? [X10_10] : (big_r(X10_10, X10_10)) => ! [Y11_11] : (big_r(Y11_11, Y11_11)))
% 0.14/0.37
% 0.14/0.37 [1] ALPHA_AND : (! [U6_6, V7_7] : ((big_r(U6_6, U6_6) <=> big_r(U6_6, V7_7))) & ! [W8_8, Z9_9] : ((big_r(W8_8, W8_8) <=> big_r(Z9_9, W8_8))))
% 0.14/0.37 -> [2] ! [U6_6, V7_7] : ((big_r(U6_6, U6_6) <=> big_r(U6_6, V7_7))), ! [W8_8, Z9_9] : ((big_r(W8_8, W8_8) <=> big_r(Z9_9, W8_8)))
% 0.14/0.37
% 0.14/0.37 [2] ALPHA_NOT_IMPLY : ~(? [X10_10] : (big_r(X10_10, X10_10)) => ! [Y11_11] : (big_r(Y11_11, Y11_11)))
% 0.14/0.37 -> [3] ? [X10_10] : (big_r(X10_10, X10_10)), ~! [Y11_11] : (big_r(Y11_11, Y11_11))
% 0.14/0.37
% 0.14/0.37 [3] DELTA_EXISTS : ? [X10_10] : (big_r(X10_10, X10_10))
% 0.14/0.37 -> [4] big_r(skolem_X1010, skolem_X1010)
% 0.14/0.37
% 0.14/0.37 [4] DELTA_NOT_FORALL : ~! [Y11_11] : (big_r(Y11_11, Y11_11))
% 0.14/0.37 -> [5] ~big_r(skolem_Y1111, skolem_Y1111)
% 0.14/0.37
% 0.14/0.37 [5] GAMMA_FORALL : ! [U6_6, V7_7] : ((big_r(U6_6, U6_6) <=> big_r(U6_6, V7_7)))
% 0.14/0.37 -> [6] (big_r(skolem_X1010, skolem_X1010) <=> big_r(skolem_X1010, skolem_Y1111))
% 0.14/0.37
% 0.14/0.37 [6] BETA_EQUIV : (big_r(skolem_X1010, skolem_X1010) <=> big_r(skolem_X1010, skolem_Y1111))
% 0.14/0.37 -> [7] ~big_r(skolem_X1010, skolem_X1010), ~big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37 -> [8] big_r(skolem_X1010, skolem_X1010), big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37
% 0.14/0.37 [7] CLOSURE : ~big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37
% 0.14/0.37 [8] GAMMA_FORALL : ! [W8_8, Z9_9] : ((big_r(W8_8, W8_8) <=> big_r(Z9_9, W8_8)))
% 0.14/0.37 -> [9] (big_r(skolem_Y1111, skolem_Y1111) <=> big_r(skolem_X1010, skolem_Y1111))
% 0.14/0.37
% 0.14/0.37 [9] BETA_EQUIV : (big_r(skolem_Y1111, skolem_Y1111) <=> big_r(skolem_X1010, skolem_Y1111))
% 0.14/0.37 -> [10] ~big_r(skolem_Y1111, skolem_Y1111), ~big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37 -> [11] big_r(skolem_Y1111, skolem_Y1111), big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37
% 0.14/0.37 [11] CLOSURE : big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37
% 0.14/0.37 [10] CLOSURE : ~big_r(skolem_X1010, skolem_Y1111)
% 0.14/0.37
% 0.14/0.37 % SZS output end Proof for theBenchmark.p
% 0.14/0.37 [0.015693s][1][Res] 13 goroutines created
% 0.14/0.37 ==== Result ====
% 0.14/0.37 [0.015728s][1][Res] VALID
% 0.14/0.37 % SZS status Theorem for theBenchmark.p
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