TSTP Solution File: SYN327+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN327+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 22:22:59 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN327+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % 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 02:35:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 [DMT] DMT loaded with preskolemization
% 0.12/0.33 [EQ] equality loaded.
% 0.12/0.33 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 3
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.35 % SZS output start Proof for theBenchmark.p
% 0.12/0.35 [0] DELTA_NOT_FORALL : ~! [X3_3] : (? [Y4_4] : (! [Z5_5] : ((big_f(Y4_4, X3_3) => ((big_f(X3_3, Z5_5) => big_f(X3_3, Y4_4)) & (big_f(X3_3, Y4_4) => (~big_f(X3_3, Z5_5) => (big_f(Y4_4, X3_3) & big_f(Z5_5, Y4_4)))))))))
% 0.12/0.35 -> [1] ~? [Y4_4] : (! [Z5_5] : ((big_f(Y4_4, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_4)) & (big_f(skolem_X33, Y4_4) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_4, skolem_X33) & big_f(Z5_5, Y4_4))))))))
% 0.12/0.35
% 0.12/0.35 [1] GAMMA_NOT_EXISTS : ~? [Y4_4] : (! [Z5_5] : ((big_f(Y4_4, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_4)) & (big_f(skolem_X33, Y4_4) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_4, skolem_X33) & big_f(Z5_5, Y4_4))))))))
% 0.12/0.35 -> [2] ~! [Z5_5] : ((big_f(skolem_X33, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, skolem_X33)) & (big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, Z5_5) => (big_f(skolem_X33, skolem_X33) & big_f(Z5_5, skolem_X33)))))))
% 0.12/0.35
% 0.12/0.35 [2] DELTA_NOT_FORALL : ~! [Z5_5] : ((big_f(skolem_X33, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, skolem_X33)) & (big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, Z5_5) => (big_f(skolem_X33, skolem_X33) & big_f(Z5_5, skolem_X33)))))))
% 0.12/0.35 -> [3] ~(big_f(skolem_X33, skolem_X33) => ((big_f(skolem_X33, skolem_Z55(skolem_X33)) => big_f(skolem_X33, skolem_X33)) & (big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33))))))
% 0.12/0.35
% 0.12/0.35 [3] ALPHA_NOT_IMPLY : ~(big_f(skolem_X33, skolem_X33) => ((big_f(skolem_X33, skolem_Z55(skolem_X33)) => big_f(skolem_X33, skolem_X33)) & (big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33))))))
% 0.12/0.35 -> [4] big_f(skolem_X33, skolem_X33), ~((big_f(skolem_X33, skolem_Z55(skolem_X33)) => big_f(skolem_X33, skolem_X33)) & (big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33)))))
% 0.12/0.35
% 0.12/0.35 [4] BETA_NOT_AND : ~((big_f(skolem_X33, skolem_Z55(skolem_X33)) => big_f(skolem_X33, skolem_X33)) & (big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33)))))
% 0.12/0.35 -> [5] ~(big_f(skolem_X33, skolem_Z55(skolem_X33)) => big_f(skolem_X33, skolem_X33))
% 0.12/0.35 -> [6] ~(big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33))))
% 0.12/0.35
% 0.12/0.35 [5] ALPHA_NOT_IMPLY : ~(big_f(skolem_X33, skolem_Z55(skolem_X33)) => big_f(skolem_X33, skolem_X33))
% 0.12/0.35 -> [7] big_f(skolem_X33, skolem_Z55(skolem_X33)), ~big_f(skolem_X33, skolem_X33)
% 0.12/0.35
% 0.12/0.35 [7] CLOSURE : ~big_f(skolem_X33, skolem_X33)
% 0.12/0.35
% 0.12/0.35 [6] ALPHA_NOT_IMPLY : ~(big_f(skolem_X33, skolem_X33) => (~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33))))
% 0.12/0.35 -> [8] big_f(skolem_X33, skolem_X33), ~(~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33)))
% 0.12/0.35
% 0.12/0.35 [8] ALPHA_NOT_IMPLY : ~(~big_f(skolem_X33, skolem_Z55(skolem_X33)) => (big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33)))
% 0.12/0.35 -> [9] ~big_f(skolem_X33, skolem_Z55(skolem_X33)), ~(big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33))
% 0.12/0.35
% 0.12/0.35 [9] BETA_NOT_AND : ~(big_f(skolem_X33, skolem_X33) & big_f(skolem_Z55(skolem_X33), skolem_X33))
% 0.12/0.35 -> [10] ~big_f(skolem_X33, skolem_X33)
% 0.12/0.35 -> [11] ~big_f(skolem_Z55(skolem_X33), skolem_X33)
% 0.12/0.35
% 0.12/0.35 [10] CLOSURE : ~big_f(skolem_X33, skolem_X33)
% 0.12/0.35
% 0.12/0.35 [11] : ~? [Y4_4] : (! [Z5_5] : ((big_f(Y4_4, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_4)) & (big_f(skolem_X33, Y4_4) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_4, skolem_X33) & big_f(Z5_5, Y4_4))))))))
% 0.12/0.35 -> [12] ~? [Y4_4] : (! [Z5_5] : ((big_f(Y4_4, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_4)) & (big_f(skolem_X33, Y4_4) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_4, skolem_X33) & big_f(Z5_5, Y4_4))))))))
% 0.12/0.35
% 0.12/0.35 [12] GAMMA_NOT_EXISTS : ~? [Y4_4] : (! [Z5_5] : ((big_f(Y4_4, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_4)) & (big_f(skolem_X33, Y4_4) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_4, skolem_X33) & big_f(Z5_5, Y4_4))))))))
% 0.12/0.35 -> [13] ~! [Z5_5] : ((big_f(Y4_1_0, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_1_0)) & (big_f(skolem_X33, Y4_1_0) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_1_0, skolem_X33) & big_f(Z5_5, Y4_1_0)))))))
% 0.12/0.35
% 0.12/0.35 [13] DELTA_NOT_FORALL : ~! [Z5_5] : ((big_f(Y4_1_0, skolem_X33) => ((big_f(skolem_X33, Z5_5) => big_f(skolem_X33, Y4_1_0)) & (big_f(skolem_X33, Y4_1_0) => (~big_f(skolem_X33, Z5_5) => (big_f(Y4_1_0, skolem_X33) & big_f(Z5_5, Y4_1_0)))))))
% 0.12/0.35 -> [14] ~(big_f(Y4_1_0, skolem_X33) => ((big_f(skolem_X33, skolem_Z55(Y4_1_0)) => big_f(skolem_X33, Y4_1_0)) & (big_f(skolem_X33, Y4_1_0) => (~big_f(skolem_X33, skolem_Z55(Y4_1_0)) => (big_f(Y4_1_0, skolem_X33) & big_f(skolem_Z55(Y4_1_0), Y4_1_0))))))
% 0.12/0.35
% 0.12/0.35 [14] ALPHA_NOT_IMPLY : ~(big_f(Y4_1_0, skolem_X33) => ((big_f(skolem_X33, skolem_Z55(Y4_1_0)) => big_f(skolem_X33, Y4_1_0)) & (big_f(skolem_X33, Y4_1_0) => (~big_f(skolem_X33, skolem_Z55(Y4_1_0)) => (big_f(Y4_1_0, skolem_X33) & big_f(skolem_Z55(Y4_1_0), Y4_1_0))))))
% 0.12/0.35 -> [15] big_f(Y4_1_0, skolem_X33), ~((big_f(skolem_X33, skolem_Z55(Y4_1_0)) => big_f(skolem_X33, Y4_1_0)) & (big_f(skolem_X33, Y4_1_0) => (~big_f(skolem_X33, skolem_Z55(Y4_1_0)) => (big_f(Y4_1_0, skolem_X33) & big_f(skolem_Z55(Y4_1_0), Y4_1_0)))))
% 0.12/0.35
% 0.12/0.35 [15] CLOSURE : big_f(Y4_1_0, skolem_X33)
% 0.12/0.35
% 0.12/0.35 % SZS output end Proof for theBenchmark.p
% 0.12/0.35 [0.019711s][1][Res] 15 goroutines created
% 0.12/0.35 ==== Result ====
% 0.12/0.35 [0.019745s][1][Res] VALID
% 0.12/0.35 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------