TSTP Solution File: SYN728+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n018.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 22:24:30 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN728+1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 06:52:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.35 nb_step : 1 - limit : 8
% 0.12/0.35 Launch Gotab with destructive = true
% 0.20/0.51 % SZS output start Proof for theBenchmark.p
% 0.20/0.52 [0] ALPHA_NOT_IMPLY : ~(((! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))) & ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))) & ! [W13_13] : ((q(W13_13) => ~m(g(W13_13))))) => ! [U14_14] : (? [V15_15] : ((p(g(U14_14), V15_15) & p(U14_14, U14_14)))))
% 0.20/0.52 -> [1] ((! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))) & ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))) & ! [W13_13] : ((q(W13_13) => ~m(g(W13_13))))), ~! [U14_14] : (? [V15_15] : ((p(g(U14_14), V15_15) & p(U14_14, U14_14))))
% 0.20/0.52
% 0.20/0.52 [1] ALPHA_AND : ((! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))) & ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))) & ! [W13_13] : ((q(W13_13) => ~m(g(W13_13)))))
% 0.20/0.52 -> [2] (! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))) & ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))), ! [W13_13] : ((q(W13_13) => ~m(g(W13_13))))
% 0.20/0.52
% 0.20/0.52 [2] ALPHA_AND : (! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))) & ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12)))))))
% 0.20/0.52 -> [3] ! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))), ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))
% 0.20/0.52
% 0.20/0.52 [3] DELTA_NOT_FORALL : ~! [U14_14] : (? [V15_15] : ((p(g(U14_14), V15_15) & p(U14_14, U14_14))))
% 0.20/0.52 -> [4] ~? [V15_15] : ((p(g(skolem_U1414), V15_15) & p(skolem_U1414, skolem_U1414)))
% 0.20/0.52
% 0.20/0.52 [4] GAMMA_FORALL : ! [W13_13] : ((q(W13_13) => ~m(g(W13_13))))
% 0.20/0.52 -> [5] (q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))) => ~m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52
% 0.20/0.52 [5] BETA_IMPLY : (q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))) => ~m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52 -> [6] ~q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))
% 0.20/0.52 -> [7] ~m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))
% 0.20/0.52
% 0.20/0.52 [6] GAMMA_FORALL : ! [X8_8] : ((? [Y9_9] : (p(X8_8, Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10))))
% 0.20/0.52 -> [8] (? [Y9_9] : (p(g(skolem_U1414), Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))
% 0.20/0.52
% 0.20/0.52 [8] BETA_IMPLY : (? [Y9_9] : (p(g(skolem_U1414), Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))
% 0.20/0.52 -> [10] ~? [Y9_9] : (p(g(skolem_U1414), Y9_9))
% 0.20/0.52 -> [11] ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52
% 0.20/0.52 [10] GAMMA_FORALL : ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))
% 0.20/0.52 -> [14] ? [S12_12] : ((p(g(skolem_U1414), S12_12) | (m(g(skolem_U1414)) & q(f(g(skolem_U1414), S12_12)))))
% 0.20/0.52
% 0.20/0.52 [14] DELTA_EXISTS : ? [S12_12] : ((p(g(skolem_U1414), S12_12) | (m(g(skolem_U1414)) & q(f(g(skolem_U1414), S12_12)))))
% 0.20/0.52 -> [18] (p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) | (m(g(skolem_U1414)) & q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52
% 0.20/0.52 [18] BETA_OR : (p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) | (m(g(skolem_U1414)) & q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52 -> [21] p(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))
% 0.20/0.52 -> [22] (m(g(skolem_U1414)) & q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))
% 0.20/0.52
% 0.20/0.52 [21] GAMMA_NOT_EXISTS : ~? [V15_15] : ((p(g(skolem_U1414), V15_15) & p(skolem_U1414, skolem_U1414)))
% 0.20/0.52 -> [38] ~(p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52
% 0.20/0.52 [38] BETA_NOT_AND : ~(p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52 -> [42] ~p(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))
% 0.20/0.52 -> [43] ~p(skolem_U1414, skolem_U1414)
% 0.20/0.52
% 0.20/0.52 [43] GAMMA_NOT_EXISTS : ~? [Y9_9] : (p(g(skolem_U1414), Y9_9))
% 0.20/0.52 -> [49] ~p(g(skolem_U1414), Y9_1_4)
% 0.20/0.52
% 0.20/0.52 [49] CLOSURE : ~p(g(skolem_U1414), Y9_1_4)
% 0.20/0.52
% 0.20/0.52 [42] CLOSURE : ~p(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))
% 0.20/0.52
% 0.20/0.52 [34] CLOSURE : q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))
% 0.20/0.52
% 0.20/0.52 [19] BETA_OR : (p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) | (m(g(skolem_U1414)) & q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52 -> [107] p(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))
% 0.20/0.52 -> [108] (m(g(skolem_U1414)) & q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))
% 0.20/0.52
% 0.20/0.52 [107] GAMMA_NOT_EXISTS : ~? [V15_15] : ((p(g(skolem_U1414), V15_15) & p(skolem_U1414, skolem_U1414)))
% 0.20/0.52 -> [110] ~(p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52
% 0.20/0.52 [110] BETA_NOT_AND : ~(p(g(skolem_U1414), skolem_S1212(g(skolem_U1414))) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52 -> [111] ~p(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))
% 0.20/0.52 -> [112] ~p(skolem_U1414, skolem_U1414)
% 0.20/0.52
% 0.20/0.52 [111] CLOSURE : ~p(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))
% 0.20/0.52
% 0.20/0.52 [112] GAMMA_FORALL : ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52 -> [114] p(Z10_8_4, Z10_8_4)
% 0.20/0.52
% 0.20/0.52 [114] CLOSURE : p(Z10_8_4, Z10_8_4)
% 0.20/0.52
% 0.20/0.52 [108] ALPHA_AND : (m(g(skolem_U1414)) & q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))
% 0.20/0.52 -> [109] m(g(skolem_U1414)), q(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))
% 0.20/0.52
% 0.20/0.52 [109] GAMMA_NOT_EXISTS : ~? [V15_15] : ((p(g(skolem_U1414), V15_15) & p(skolem_U1414, skolem_U1414)))
% 0.20/0.52 -> [113] ~(p(g(skolem_U1414), g(skolem_U1414)) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52
% 0.20/0.52 [113] BETA_NOT_AND : ~(p(g(skolem_U1414), g(skolem_U1414)) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52 -> [115] ~p(g(skolem_U1414), g(skolem_U1414))
% 0.20/0.52 -> [116] ~p(skolem_U1414, skolem_U1414)
% 0.20/0.52
% 0.20/0.52 [116] GAMMA_FORALL : ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52 -> [118] p(Z10_10_4, Z10_10_4)
% 0.20/0.52
% 0.20/0.52 [118] CLOSURE : p(Z10_10_4, Z10_10_4)
% 0.20/0.52
% 0.20/0.52 [115] GAMMA_FORALL : ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52 -> [117] p(Z10_9_4, Z10_9_4)
% 0.20/0.52
% 0.20/0.52 [117] CLOSURE : p(Z10_9_4, Z10_9_4)
% 0.20/0.52
% 0.20/0.52 [9] BETA_IMPLY : (? [Y9_9] : (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_9)) => ! [Z10_10] : (p(Z10_10, Z10_10)))
% 0.20/0.52 -> [181] ~? [Y9_9] : (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_9))
% 0.20/0.52 -> [182] ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52
% 0.20/0.52 [182] GAMMA_FORALL : ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))
% 0.20/0.52 -> [184] ? [S12_12] : ((p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12)))))
% 0.20/0.52
% 0.20/0.52 [184] DELTA_EXISTS : ? [S12_12] : ((p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12)))))
% 0.20/0.52 -> [186] (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))))))
% 0.20/0.52
% 0.20/0.52 [186] BETA_OR : (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))))))
% 0.20/0.52 -> [189] p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52 -> [190] (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))))
% 0.20/0.52
% 0.20/0.52 [190] ALPHA_AND : (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))))
% 0.20/0.52 -> [192] m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))), q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))))
% 0.20/0.52
% 0.20/0.52 [192] CLOSURE : m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))
% 0.20/0.52
% 0.20/0.52 [194] BETA_NOT_AND : ~(p(g(skolem_U1414), g(skolem_U1414)) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52 -> [201] ~p(g(skolem_U1414), g(skolem_U1414))
% 0.20/0.52 -> [202] ~p(skolem_U1414, skolem_U1414)
% 0.20/0.52
% 0.20/0.52 [202] GAMMA_FORALL : ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52 -> [204] p(Z10_20_4, Z10_20_4)
% 0.20/0.52
% 0.20/0.52 [204] CLOSURE : p(Z10_20_4, Z10_20_4)
% 0.20/0.52
% 0.20/0.52 [201] GAMMA_FORALL : ! [Z10_10] : (p(Z10_10, Z10_10))
% 0.20/0.52 -> [203] p(Z10_19_4, Z10_19_4)
% 0.20/0.52
% 0.20/0.52 [203] CLOSURE : p(Z10_19_4, Z10_19_4)
% 0.20/0.52
% 0.20/0.52 [181] GAMMA_FORALL : ! [R11_11] : (? [S12_12] : ((p(R11_11, S12_12) | (m(R11_11) & q(f(R11_11, S12_12))))))
% 0.20/0.52 -> [183] ? [S12_12] : ((p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12)))))
% 0.20/0.52
% 0.20/0.52 [183] DELTA_EXISTS : ? [S12_12] : ((p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), S12_12)))))
% 0.20/0.52 -> [185] (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))))))
% 0.20/0.52
% 0.20/0.52 [185] BETA_OR : (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))) | (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))))))
% 0.20/0.52 -> [187] p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))
% 0.20/0.52 -> [188] (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))))
% 0.20/0.52
% 0.20/0.52 [188] ALPHA_AND : (m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))) & q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))))))
% 0.20/0.52 -> [191] m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414))))), q(f(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), skolem_S1212(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))))
% 0.20/0.52
% 0.20/0.52 [191] CLOSURE : m(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))))
% 0.20/0.52
% 0.20/0.52 [193] BETA_NOT_AND : ~(p(g(skolem_U1414), V15_13_3) & p(skolem_U1414, skolem_U1414))
% 0.20/0.52 -> [205] ~p(g(skolem_U1414), V15_13_3)
% 0.20/0.52 -> [206] ~p(skolem_U1414, skolem_U1414)
% 0.20/0.52
% 0.20/0.52 [205] GAMMA_NOT_EXISTS : ~? [Y9_9] : (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_9))
% 0.20/0.52 -> [207] ~p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_18_4)
% 0.20/0.52
% 0.20/0.52 [207] CLOSURE : ~p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_18_4)
% 0.20/0.52
% 0.20/0.52 [206] GAMMA_NOT_EXISTS : ~? [Y9_9] : (p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_9))
% 0.20/0.52 -> [208] ~p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_19_4)
% 0.20/0.52
% 0.20/0.52 [208] CLOSURE : ~p(g(f(g(skolem_U1414), skolem_S1212(g(skolem_U1414)))), Y9_19_4)
% 0.20/0.52
% 0.20/0.52 % SZS output end Proof for theBenchmark.p
% 0.20/0.52 [0.173360s][1][Res] 514 goroutines created
% 0.20/0.52 ==== Result ====
% 0.20/0.52 [0.173398s][1][Res] VALID
% 0.20/0.52 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------