TSTP Solution File: SYN065+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN065+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 : Thu Sep 29 22:22:17 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n014.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 : Mon Sep 5 01:31:59 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 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 8
% 0.12/0.34 Launch Gotab with destructive = true
% 0.19/0.38 % SZS output start Proof for theBenchmark.p
% 0.19/0.38 [0] ALPHA_AND : (! [X3_3] : (? [Y4_4] : (big_f(X3_3, Y4_4))) & ! [X5_5] : (? [Y6_6] : (big_g(X5_5, Y6_6))) & ! [X7_7, Y8_8] : (((big_f(X7_7, Y8_8) | big_g(X7_7, Y8_8)) => ! [Z9_9] : (((big_f(Y8_8, Z9_9) | big_g(Y8_8, Z9_9)) => big_h(X7_7, Z9_9))))) & ~! [X10_10] : (? [Y11_11] : (big_h(X10_10, Y11_11))))
% 0.19/0.38 -> [1] ! [X3_3] : (? [Y4_4] : (big_f(X3_3, Y4_4))), ! [X5_5] : (? [Y6_6] : (big_g(X5_5, Y6_6))), ! [X7_7, Y8_8] : (((big_f(X7_7, Y8_8) | big_g(X7_7, Y8_8)) => ! [Z9_9] : (((big_f(Y8_8, Z9_9) | big_g(Y8_8, Z9_9)) => big_h(X7_7, Z9_9))))), ~! [X10_10] : (? [Y11_11] : (big_h(X10_10, Y11_11)))
% 0.19/0.38
% 0.19/0.38 [1] DELTA_NOT_FORALL : ~! [X10_10] : (? [Y11_11] : (big_h(X10_10, Y11_11)))
% 0.19/0.38 -> [2] ~? [Y11_11] : (big_h(skolem_X1010, Y11_11))
% 0.19/0.38
% 0.19/0.38 [2] GAMMA_FORALL : ! [X3_3] : (? [Y4_4] : (big_f(X3_3, Y4_4)))
% 0.19/0.38 -> [3] ? [Y4_4] : (big_f(skolem_X1010, Y4_4))
% 0.19/0.38
% 0.19/0.38 [3] DELTA_EXISTS : ? [Y4_4] : (big_f(skolem_X1010, Y4_4))
% 0.19/0.38 -> [4] big_f(skolem_X1010, skolem_Y44(skolem_X1010))
% 0.19/0.38
% 0.19/0.38 [4] GAMMA_FORALL : ! [X5_5] : (? [Y6_6] : (big_g(X5_5, Y6_6)))
% 0.19/0.38 -> [5] ? [Y6_6] : (big_g(skolem_Y44(skolem_X1010), Y6_6))
% 0.19/0.38
% 0.19/0.38 [5] DELTA_EXISTS : ? [Y6_6] : (big_g(skolem_Y44(skolem_X1010), Y6_6))
% 0.19/0.38 -> [6] big_g(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010)))
% 0.19/0.38
% 0.19/0.38 [6] GAMMA_FORALL : ! [X7_7, Y8_8] : (((big_f(X7_7, Y8_8) | big_g(X7_7, Y8_8)) => ! [Z9_9] : (((big_f(Y8_8, Z9_9) | big_g(Y8_8, Z9_9)) => big_h(X7_7, Z9_9)))))
% 0.19/0.38 -> [7] ((big_f(skolem_X1010, skolem_Y44(skolem_X1010)) | big_g(skolem_X1010, skolem_Y44(skolem_X1010))) => ! [Z9_9] : (((big_f(skolem_Y44(skolem_X1010), Z9_9) | big_g(skolem_Y44(skolem_X1010), Z9_9)) => big_h(skolem_X1010, Z9_9))))
% 0.19/0.38
% 0.19/0.38 [7] BETA_IMPLY : ((big_f(skolem_X1010, skolem_Y44(skolem_X1010)) | big_g(skolem_X1010, skolem_Y44(skolem_X1010))) => ! [Z9_9] : (((big_f(skolem_Y44(skolem_X1010), Z9_9) | big_g(skolem_Y44(skolem_X1010), Z9_9)) => big_h(skolem_X1010, Z9_9))))
% 0.19/0.38 -> [8] ~(big_f(skolem_X1010, skolem_Y44(skolem_X1010)) | big_g(skolem_X1010, skolem_Y44(skolem_X1010)))
% 0.19/0.38 -> [9] ! [Z9_9] : (((big_f(skolem_Y44(skolem_X1010), Z9_9) | big_g(skolem_Y44(skolem_X1010), Z9_9)) => big_h(skolem_X1010, Z9_9)))
% 0.19/0.38
% 0.19/0.38 [8] ALPHA_NOT_OR : ~(big_f(skolem_X1010, skolem_Y44(skolem_X1010)) | big_g(skolem_X1010, skolem_Y44(skolem_X1010)))
% 0.19/0.38 -> [10] ~big_f(skolem_X1010, skolem_Y44(skolem_X1010)), ~big_g(skolem_X1010, skolem_Y44(skolem_X1010))
% 0.19/0.38
% 0.19/0.38 [10] CLOSURE : ~big_g(skolem_X1010, skolem_Y44(skolem_X1010))
% 0.19/0.38
% 0.19/0.38 [12] BETA_IMPLY : ((big_f(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010))) | big_g(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010)))) => big_h(skolem_X1010, skolem_Y66(skolem_Y44(skolem_X1010))))
% 0.19/0.38 -> [16] ~(big_f(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010))) | big_g(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010))))
% 0.19/0.38 -> [17] big_h(skolem_X1010, skolem_Y66(skolem_Y44(skolem_X1010)))
% 0.19/0.38
% 0.19/0.38 [16] ALPHA_NOT_OR : ~(big_f(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010))) | big_g(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010))))
% 0.19/0.38 -> [18] ~big_f(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010))), ~big_g(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010)))
% 0.19/0.38
% 0.19/0.38 [18] CLOSURE : ~big_g(skolem_Y44(skolem_X1010), skolem_Y66(skolem_Y44(skolem_X1010)))
% 0.19/0.38
% 0.19/0.38 [17] CLOSURE : big_h(skolem_X1010, skolem_Y66(skolem_Y44(skolem_X1010)))
% 0.19/0.38
% 0.19/0.38 % SZS output end Proof for theBenchmark.p
% 0.19/0.38 [0.041072s][1][Res] 56 goroutines created
% 0.19/0.38 ==== Result ====
% 0.19/0.38 [0.041108s][1][Res] VALID
% 0.19/0.38 % SZS status Theorem for theBenchmark.p
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