TSTP Solution File: SYN336+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN336+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n017.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 22:23:02 EDT 2022
% Result : Theorem 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN336+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n017.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 : Mon Sep 5 02:05:10 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 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.35 Start search
% 0.13/0.35 nb_step : 1 - limit : 3
% 0.13/0.35 Launch Gotab with destructive = true
% 0.20/0.37 % SZS output start Proof for theBenchmark.p
% 0.20/0.37 [0] DELTA_NOT_FORALL : ~! [X4_4] : (? [Y15_5, Y26_6] : (! [Z7_7] : ((big_f(X4_4, Z7_7) => (big_f(Y15_5, Z7_7) => (big_f(Y26_6, Z7_7) => (big_f(Y15_5, X4_4) => big_f(Z7_7, Y26_6))))))))
% 0.20/0.37 -> [1] ~? [Y15_5, Y26_6] : (! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_5, Z7_7) => (big_f(Y26_6, Z7_7) => (big_f(Y15_5, skolem_X44) => big_f(Z7_7, Y26_6)))))))
% 0.20/0.37
% 0.20/0.37 [1] GAMMA_NOT_EXISTS : ~? [Y15_5, Y26_6] : (! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_5, Z7_7) => (big_f(Y26_6, Z7_7) => (big_f(Y15_5, skolem_X44) => big_f(Z7_7, Y26_6)))))))
% 0.20/0.37 -> [2] ~! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_0_0, Z7_7) => (big_f(Y26_0_0, Z7_7) => (big_f(Y15_0_0, skolem_X44) => big_f(Z7_7, Y26_0_0))))))
% 0.20/0.37
% 0.20/0.37 [2] DELTA_NOT_FORALL : ~! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_0_0, Z7_7) => (big_f(Y26_0_0, Z7_7) => (big_f(Y15_0_0, skolem_X44) => big_f(Z7_7, Y26_0_0))))))
% 0.20/0.37 -> [3] ~(big_f(skolem_X44, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0)))))
% 0.20/0.37
% 0.20/0.37 [3] ALPHA_NOT_IMPLY : ~(big_f(skolem_X44, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0)))))
% 0.20/0.37 -> [4] big_f(skolem_X44, skolem_Z77(Y15_0_0, Y26_0_0)), ~(big_f(Y15_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0))))
% 0.20/0.37
% 0.20/0.37 [4] ALPHA_NOT_IMPLY : ~(big_f(Y15_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0))))
% 0.20/0.37 -> [5] big_f(Y15_0_0, skolem_Z77(Y15_0_0, Y26_0_0)), ~(big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0)))
% 0.20/0.37
% 0.20/0.37 [5] ALPHA_NOT_IMPLY : ~(big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)) => (big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0)))
% 0.20/0.37 -> [6] big_f(Y26_0_0, skolem_Z77(Y15_0_0, Y26_0_0)), ~(big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0))
% 0.20/0.37
% 0.20/0.37 [6] ALPHA_NOT_IMPLY : ~(big_f(Y15_0_0, skolem_X44) => big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0))
% 0.20/0.37 -> [7] big_f(Y15_0_0, skolem_X44), ~big_f(skolem_Z77(Y15_0_0, Y26_0_0), Y26_0_0)
% 0.20/0.37
% 0.20/0.37 [7] ALPHA_NOT_IMPLY : ~? [Y15_5, Y26_6] : (! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_5, Z7_7) => (big_f(Y26_6, Z7_7) => (big_f(Y15_5, skolem_X44) => big_f(Z7_7, Y26_6)))))))
% 0.20/0.37 -> [8] ~? [Y15_5, Y26_6] : (! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_5, Z7_7) => (big_f(Y26_6, Z7_7) => (big_f(Y15_5, skolem_X44) => big_f(Z7_7, Y26_6)))))))
% 0.20/0.37
% 0.20/0.37 [8] GAMMA_NOT_EXISTS : ~? [Y15_5, Y26_6] : (! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_5, Z7_7) => (big_f(Y26_6, Z7_7) => (big_f(Y15_5, skolem_X44) => big_f(Z7_7, Y26_6)))))))
% 0.20/0.37 -> [9] ~! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_1_0, Z7_7) => (big_f(Y26_1_0, Z7_7) => (big_f(Y15_1_0, skolem_X44) => big_f(Z7_7, Y26_1_0))))))
% 0.20/0.37
% 0.20/0.37 [9] DELTA_NOT_FORALL : ~! [Z7_7] : ((big_f(skolem_X44, Z7_7) => (big_f(Y15_1_0, Z7_7) => (big_f(Y26_1_0, Z7_7) => (big_f(Y15_1_0, skolem_X44) => big_f(Z7_7, Y26_1_0))))))
% 0.20/0.37 -> [10] ~(big_f(skolem_X44, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0)))))
% 0.20/0.37
% 0.20/0.37 [10] ALPHA_NOT_IMPLY : ~(big_f(skolem_X44, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0)))))
% 0.20/0.37 -> [11] big_f(skolem_X44, skolem_Z77(Y15_1_0, Y26_1_0)), ~(big_f(Y15_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0))))
% 0.20/0.37
% 0.20/0.37 [11] ALPHA_NOT_IMPLY : ~(big_f(Y15_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0))))
% 0.20/0.37 -> [12] big_f(Y15_1_0, skolem_Z77(Y15_1_0, Y26_1_0)), ~(big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0)))
% 0.20/0.37
% 0.20/0.37 [12] ALPHA_NOT_IMPLY : ~(big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)) => (big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0)))
% 0.20/0.37 -> [13] big_f(Y26_1_0, skolem_Z77(Y15_1_0, Y26_1_0)), ~(big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0))
% 0.20/0.37
% 0.20/0.37 [13] ALPHA_NOT_IMPLY : ~(big_f(Y15_1_0, skolem_X44) => big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0))
% 0.20/0.37 -> [14] big_f(Y15_1_0, skolem_X44), ~big_f(skolem_Z77(Y15_1_0, Y26_1_0), Y26_1_0)
% 0.20/0.37
% 0.20/0.37 [14] CLOSURE : big_f(Y15_1_0, skolem_X44)
% 0.20/0.37
% 0.20/0.37 % SZS output end Proof for theBenchmark.p
% 0.20/0.37 [0.017741s][1][Res] 9 goroutines created
% 0.20/0.37 ==== Result ====
% 0.20/0.37 [0.017775s][1][Res] VALID
% 0.20/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------