TSTP Solution File: SYN084+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 22:22:23 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n023.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 02:03:32 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 [0.000023s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 2
% 0.12/0.34 Launch Gotab with destructive = true
% 0.12/0.37 % SZS output start Proof for theBenchmark.p
% 0.12/0.37 [0] BETA_NOT_EQUIV : ~(! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(f(X2_2)))) => big_p(f(f(X2_2))))) <=> ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(f(f(X13_3)))) & ((~big_p(a) | ~big_p(f(X13_3))) | big_p(f(f(X13_3)))))))
% 0.12/0.37 -> [1] ~! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(f(X2_2)))) => big_p(f(f(X2_2))))), ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(f(f(X13_3)))) & ((~big_p(a) | ~big_p(f(X13_3))) | big_p(f(f(X13_3))))))
% 0.12/0.37 -> [2] ! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(f(X2_2)))) => big_p(f(f(X2_2))))), ~! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(f(f(X13_3)))) & ((~big_p(a) | ~big_p(f(X13_3))) | big_p(f(f(X13_3))))))
% 0.12/0.37
% 0.12/0.37 [2] DELTA_NOT_FORALL : ~! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(f(f(X13_3)))) & ((~big_p(a) | ~big_p(f(X13_3))) | big_p(f(f(X13_3))))))
% 0.12/0.37 -> [3] ~(((~big_p(a) | big_p(skolem_X133)) | big_p(f(f(skolem_X133)))) & ((~big_p(a) | ~big_p(f(skolem_X133))) | big_p(f(f(skolem_X133)))))
% 0.12/0.37
% 0.12/0.37 [3] BETA_NOT_AND : ~(((~big_p(a) | big_p(skolem_X133)) | big_p(f(f(skolem_X133)))) & ((~big_p(a) | ~big_p(f(skolem_X133))) | big_p(f(f(skolem_X133)))))
% 0.12/0.37 -> [4] ~((~big_p(a) | big_p(skolem_X133)) | big_p(f(f(skolem_X133))))
% 0.12/0.37 -> [5] ~((~big_p(a) | ~big_p(f(skolem_X133))) | big_p(f(f(skolem_X133))))
% 0.12/0.37
% 0.12/0.37 [5] ALPHA_NOT_OR : ~((~big_p(a) | ~big_p(f(skolem_X133))) | big_p(f(f(skolem_X133))))
% 0.12/0.37 -> [7] ~(~big_p(a) | ~big_p(f(skolem_X133))), ~big_p(f(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [7] ALPHA_NOT_OR : ~(~big_p(a) | ~big_p(f(skolem_X133)))
% 0.12/0.37 -> [8] ~~big_p(a), ~~big_p(f(skolem_X133))
% 0.12/0.37
% 0.12/0.37 [8] ALPHA_NOT_NOT : ~~big_p(a)
% 0.12/0.37 -> [10] big_p(a)
% 0.12/0.37
% 0.12/0.37 [10] ALPHA_NOT_NOT : ~~big_p(f(skolem_X133))
% 0.12/0.37 -> [12] big_p(f(skolem_X133))
% 0.12/0.37
% 0.12/0.37 [12] GAMMA_FORALL : ! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(f(X2_2)))) => big_p(f(f(X2_2)))))
% 0.12/0.37 -> [14] ((big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133)))) => big_p(f(f(skolem_X133))))
% 0.12/0.37
% 0.12/0.37 [14] BETA_IMPLY : ((big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133)))) => big_p(f(f(skolem_X133))))
% 0.12/0.37 -> [16] ~(big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133))))
% 0.12/0.37 -> [17] big_p(f(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [17] CLOSURE : big_p(f(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [16] BETA_NOT_AND : ~(big_p(a) & (big_p(f(f(skolem_X133))) => big_p(f(f(f(skolem_X133))))))
% 0.12/0.37 -> [21] ~big_p(a)
% 0.12/0.37 -> [22] ~(big_p(f(f(skolem_X133))) => big_p(f(f(f(skolem_X133)))))
% 0.12/0.37
% 0.12/0.37 [21] CLOSURE : ~big_p(a)
% 0.12/0.37
% 0.12/0.37 [22] ALPHA_NOT_IMPLY : ~(big_p(f(f(skolem_X133))) => big_p(f(f(f(skolem_X133)))))
% 0.12/0.37 -> [23] big_p(f(f(skolem_X133))), ~big_p(f(f(f(skolem_X133))))
% 0.12/0.37
% 0.12/0.37 [23] CLOSURE : ~big_p(f(f(f(skolem_X133))))
% 0.12/0.37
% 0.12/0.37 [4] ALPHA_NOT_OR : ~((~big_p(a) | big_p(skolem_X133)) | big_p(f(f(skolem_X133))))
% 0.12/0.37 -> [11] ~(~big_p(a) | big_p(skolem_X133)), ~big_p(f(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [11] ALPHA_NOT_OR : ~(~big_p(a) | big_p(skolem_X133))
% 0.12/0.37 -> [13] ~~big_p(a), ~big_p(skolem_X133)
% 0.12/0.37
% 0.12/0.37 [13] ALPHA_NOT_NOT : ~~big_p(a)
% 0.12/0.37 -> [18] big_p(a)
% 0.12/0.37
% 0.12/0.37 [18] GAMMA_FORALL : ! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(f(X2_2)))) => big_p(f(f(X2_2)))))
% 0.12/0.37 -> [25] ((big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133)))) => big_p(f(f(skolem_X133))))
% 0.12/0.37
% 0.12/0.37 [25] BETA_IMPLY : ((big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133)))) => big_p(f(f(skolem_X133))))
% 0.12/0.37 -> [26] ~(big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133))))
% 0.12/0.37 -> [27] big_p(f(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [27] CLOSURE : big_p(f(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [26] BETA_NOT_AND : ~(big_p(a) & (big_p(skolem_X133) => big_p(f(skolem_X133))))
% 0.12/0.37 -> [32] ~big_p(a)
% 0.12/0.37 -> [33] ~(big_p(skolem_X133) => big_p(f(skolem_X133)))
% 0.12/0.37
% 0.12/0.37 [32] CLOSURE : ~big_p(a)
% 0.12/0.37
% 0.12/0.37 [33] ALPHA_NOT_IMPLY : ~(big_p(skolem_X133) => big_p(f(skolem_X133)))
% 0.12/0.37 -> [35] big_p(skolem_X133), ~big_p(f(skolem_X133))
% 0.12/0.37
% 0.12/0.37 [35] CLOSURE : big_p(skolem_X133)
% 0.12/0.37
% 0.12/0.37 [1] DELTA_NOT_FORALL : ~! [X2_2] : (((big_p(a) & (big_p(X2_2) => big_p(f(X2_2)))) => big_p(f(f(X2_2)))))
% 0.12/0.37 -> [6] ~((big_p(a) & (big_p(skolem_X22) => big_p(f(skolem_X22)))) => big_p(f(f(skolem_X22))))
% 0.12/0.37
% 0.12/0.37 [6] ALPHA_NOT_IMPLY : ~((big_p(a) & (big_p(skolem_X22) => big_p(f(skolem_X22)))) => big_p(f(f(skolem_X22))))
% 0.12/0.37 -> [9] (big_p(a) & (big_p(skolem_X22) => big_p(f(skolem_X22)))), ~big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [9] ALPHA_AND : (big_p(a) & (big_p(skolem_X22) => big_p(f(skolem_X22))))
% 0.12/0.37 -> [15] big_p(a), (big_p(skolem_X22) => big_p(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [15] BETA_IMPLY : (big_p(skolem_X22) => big_p(f(skolem_X22)))
% 0.12/0.37 -> [19] ~big_p(skolem_X22)
% 0.12/0.37 -> [20] big_p(f(skolem_X22))
% 0.12/0.37
% 0.12/0.37 [19] GAMMA_FORALL : ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(f(f(X13_3)))) & ((~big_p(a) | ~big_p(f(X13_3))) | big_p(f(f(X13_3))))))
% 0.12/0.37 -> [24] (((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22)))) & ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22)))))
% 0.12/0.37
% 0.12/0.37 [24] ALPHA_AND : (((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22)))) & ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22)))))
% 0.12/0.37 -> [28] ((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22)))), ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22))))
% 0.12/0.37
% 0.12/0.37 [28] BETA_OR : ((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22))))
% 0.12/0.37 -> [30] (~big_p(a) | big_p(skolem_X22))
% 0.12/0.37 -> [31] big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [31] CLOSURE : big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [30] BETA_OR : ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22))))
% 0.12/0.37 -> [36] (~big_p(a) | ~big_p(f(skolem_X22)))
% 0.12/0.37 -> [37] big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [37] CLOSURE : big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [36] BETA_OR : (~big_p(a) | big_p(f(f(skolem_X22))))
% 0.12/0.37 -> [40] ~big_p(a)
% 0.12/0.37 -> [41] big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [40] CLOSURE : ~big_p(a)
% 0.12/0.37
% 0.12/0.37 [41] CLOSURE : big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [20] GAMMA_FORALL : ! [X13_3] : ((((~big_p(a) | big_p(X13_3)) | big_p(f(f(X13_3)))) & ((~big_p(a) | ~big_p(f(X13_3))) | big_p(f(f(X13_3))))))
% 0.12/0.37 -> [29] (((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22)))) & ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22)))))
% 0.12/0.37
% 0.12/0.37 [29] ALPHA_AND : (((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22)))) & ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22)))))
% 0.12/0.37 -> [34] ((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22)))), ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22))))
% 0.12/0.37
% 0.12/0.37 [34] BETA_OR : ((~big_p(a) | big_p(skolem_X22)) | big_p(f(f(skolem_X22))))
% 0.12/0.37 -> [38] (~big_p(a) | big_p(skolem_X22))
% 0.12/0.37 -> [39] big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [39] CLOSURE : big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [38] BETA_OR : ((~big_p(a) | ~big_p(f(skolem_X22))) | big_p(f(f(skolem_X22))))
% 0.12/0.37 -> [48] (~big_p(a) | ~big_p(f(skolem_X22)))
% 0.12/0.37 -> [49] big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [49] CLOSURE : big_p(f(f(skolem_X22)))
% 0.12/0.37
% 0.12/0.37 [48] BETA_OR : (~big_p(a) | big_p(skolem_X22))
% 0.12/0.37 -> [50] ~big_p(a)
% 0.12/0.37 -> [51] big_p(skolem_X22)
% 0.12/0.37
% 0.12/0.37 [50] CLOSURE : ~big_p(a)
% 0.12/0.37
% 0.12/0.37 [51] BETA_OR : (~big_p(a) | ~big_p(f(skolem_X22)))
% 0.12/0.37 -> [52] ~big_p(a)
% 0.12/0.37 -> [53] ~big_p(f(skolem_X22))
% 0.12/0.37
% 0.12/0.37 [52] CLOSURE : ~big_p(a)
% 0.12/0.37
% 0.12/0.37 [53] CLOSURE : ~big_p(f(skolem_X22))
% 0.12/0.37
% 0.12/0.37 % SZS output end Proof for theBenchmark.p
% 0.12/0.37 [0.030934s][1][Res] 77 goroutines created
% 0.12/0.37 ==== Result ====
% 0.12/0.37 [0.030967s][1][Res] VALID
% 0.12/0.37 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------