TSTP Solution File: LCL843-1 by Geo-III---2018C

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Geo-III---2018C
% Problem  : LCL843-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : geo -tptp_input -nonempty -inputfile %s

% Computer : n025.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 : Sat Jul 23 06:10:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL843-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33  % Computer : n025.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 : Fri Jul 22 22:42:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  GeoParameters:
% 0.18/0.44  
% 0.18/0.44  tptp_input =     1
% 0.18/0.44  tptp_output =    0
% 0.18/0.44  nonempty =       1
% 0.18/0.44  inputfile =      /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  includepath =    /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  
% 0.18/0.44  RuleSystem INPUT:
% 0.18/0.44  
% 0.18/0.44  Initial Rules:
% 0.18/0.44  #0: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oordered__semidom-{F}(V0), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V0,V3), c_HOL_Oord__class_Oless-{F}(V3,V1,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #1: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V1,V2,V3), P_c_HOL_Ozero__class_Ozero-{F}(V2,V4), class_Ring__and__Field_Osemiring__1-{F}(V2), V3 == V4 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #2: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V4,V6), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V4,V6), class_Nat_Osemiring__char__0-{F}(V4), V2 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #3: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V0), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V4,V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V4,V6), class_Ring__and__Field_Oordered__semidom-{F}(V4) | c_HOL_Oord__class_Oless-{T}(V5,V6,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #4: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V4,V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V4,V6), class_Ring__and__Field_Oordered__semidom-{F}(V4), c_HOL_Oord__class_Oless-{F}(V5,V6,V4) | c_HOL_Oord__class_Oless-{T}(V2,V3,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #5: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Opreorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V4,V3,V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #6: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Opreorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V4,V3,V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #7: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Olinorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V2), c_HOL_Oord__class_Oless-{F}(V4,V3,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #8: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Oorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V2), c_HOL_Oord__class_Oless-{F}(V4,V3,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #9: input, references = 3, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V1,V1,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #10: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, V2 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V2,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #11: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V3,V5), class_Ring__and__Field_Oordered__semidom-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3) | c_HOL_Oord__class_Oless-{T}(V1,V2,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #12: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V1,V2,V0), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V2,V3,V5), class_Ring__and__Field_Oordered__semidom-{F}(V3) | c_HOL_Oord__class_Oless-{T}(V4,V5,V3)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #13: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, class_Orderings_Olinorder-{F}(V4), V3 == V2 | c_HOL_Oord__class_Oless-{T}(V3,V2,V4), c_HOL_Oord__class_Oless-{T}(V2,V3,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #14: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, class_Orderings_Olinorder-{F}(V4), V3 == V2 | c_HOL_Oord__class_Oless-{T}(V2,V3,V4), c_HOL_Oord__class_Oless-{T}(V3,V2,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #15: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, class_Orderings_Olinorder-{F}(V4), V3 == V2 | c_HOL_Oord__class_Oless-{T}(V2,V3,V4), c_HOL_Oord__class_Oless-{T}(V3,V2,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #16: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, V3 == V2 | c_HOL_Oord__class_Oless-{T}(V2,V3,V0), c_HOL_Oord__class_Oless-{T}(V3,V2,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #17: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, V2 == V3 | c_HOL_Oord__class_Oless-{T}(V3,V2,V0), c_HOL_Oord__class_Oless-{T}(V2,V3,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #18: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, class_Orderings_Olinorder-{F}(V4), V3 == V2 | c_HOL_Oord__class_Oless-{T}(V2,V3,V4), c_HOL_Oord__class_Oless-{T}(V3,V2,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #19: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), #-{F} V2, #-{F} V3, class_Ring__and__Field_Oordered__idom-{F}(V4), V3 == V2 | c_HOL_Oord__class_Oless-{T}(V2,V3,V4), c_HOL_Oord__class_Oless-{T}(V3,V2,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #20: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Opreorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V3,V3,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #21: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Olinorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V3,V3,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #22: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Oorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V3,V3,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #23: input, references = 3, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #24: input, references = 3, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #25: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Opreorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V5,V3,V2), c_HOL_Oord__class_Oless-{F}(V4,V5,V2) | c_HOL_Oord__class_Oless-{T}(V4,V3,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #26: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Orderings_Oorder-{F}(V2), c_HOL_Oord__class_Oless-{F}(V3,V5,V2), c_HOL_Oord__class_Oless-{F}(V5,V4,V2) | c_HOL_Oord__class_Oless-{T}(V3,V4,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #27: input, references = 3, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V1,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #28: input, references = 3, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V1,V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #29: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V2,V4), P_c_Lambda_OdB_OAbs-{F}(V3,V5), c_Lambda_Obeta-{F}(V2,V3) | c_Lambda_Obeta-{T}(V4,V5)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #30: input, references = 3, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_Osko__Lambda__Xbeta__cases__2__1-{F}(V3,V2,V4), P_c_Lambda_OdB_OAbs-{F}(V4,V5), P_c_Lambda_OdB_OAbs-{F}(V3,V6), c_Lambda_Obeta-{F}(V6,V2), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #31: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_Lambda_Obeta-{F}(V3,V2), P_c_Lambda_Olift-{F}(V3,V4,V5), P_c_Lambda_Olift-{F}(V2,V4,V6) | c_Lambda_Obeta-{T}(V5,V6)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #32: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V4), P_c_Lambda_Olift-{F}(V4,V3,V5), c_HOL_Oord__class_Oless-{F}(V2,V3,V0), V5 == V4 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #33: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_Olift-{F}(V3,V4,V5), P_c_Lambda_Osubst-{F}(V5,V2,V4,V6), V6 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #34: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_Lambda_Obeta-{F}(V2,V3), P_c_Lambda_OdB_OApp-{F}(V2,V4,V5), P_c_Lambda_OdB_OApp-{F}(V3,V4,V6) | c_Lambda_Obeta-{T}(V5,V6)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #35: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_Lambda_Obeta-{F}(V2,V3), P_c_Lambda_OdB_OApp-{F}(V4,V2,V5), P_c_Lambda_OdB_OApp-{F}(V4,V3,V6) | c_Lambda_Obeta-{T}(V5,V6)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #36: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V3), P_c_Lambda_Osubst-{F}(V3,V4,V2,V5), V5 == V4 | c_HOL_Oord__class_Oless-{T}(V2,V2,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #37: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V4), P_c_Lambda_Osubst-{F}(V4,V5,V3,V6), V2 == V3, V6 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V2,V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #38: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_Lambda_Obeta-{F}(V3,V2), P_c_Lambda_Osubst-{F}(V3,V5,V4,V6), P_c_Lambda_Osubst-{F}(V2,V5,V4,V7) | c_Lambda_Obeta-{T}(V6,V7)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #39: input, references = 3, size of lhs = 8:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V2,V3,V5), P_c_Lambda_Olift-{F}(V5,V4,V6), P_c_Lambda_Olift-{F}(V2,V4,V7), P_c_Lambda_Olift-{F}(V3,V4,V8), P_c_Lambda_OdB_OApp-{F}(V7,V8,V9), V6 == V9 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #40: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V2,V5), P_c_Lambda_OdB_OAbs-{F}(V3,V5), V2 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #41: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V2,V4), P_c_Lambda_OdB_OApp-{F}(V4,V3,V5), P_c_Lambda_Osubst-{F}(V2,V3,V1,V6) | c_Lambda_Obeta-{T}(V5,V6)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #42: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V5,V2,V7), P_c_Lambda_OdB_OApp-{F}(V4,V3,V7), V2 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #43: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V2,V5,V7), P_c_Lambda_OdB_OApp-{F}(V3,V4,V7), V2 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #44: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_Osko__Lambda__Xbeta__cases__2__1-{F}(V3,V2,V4), P_c_Lambda_OdB_OAbs-{F}(V3,V5), c_Lambda_Obeta-{F}(V5,V2) | c_Lambda_Obeta-{T}(V3,V4)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #45: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V3,V4), c_HOL_Oord__class_Oless-{F}(V3,V2,V0), P_c_Lambda_Osubst-{F}(V4,V5,V2,V6), V6 == V4 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #46: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V2,V6), P_c_Lambda_OdB_OApp-{F}(V3,V4,V6) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #47: input, references = 3, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V3,V4,V6), P_c_Lambda_OdB_OAbs-{F}(V2,V6) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #48: input, references = 3, size of lhs = 8:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V3,V5,V6), P_c_Lambda_Osubst-{F}(V6,V2,V4,V7), P_c_Lambda_Osubst-{F}(V3,V2,V4,V8), P_c_Lambda_Osubst-{F}(V5,V2,V4,V9), P_c_Lambda_OdB_OApp-{F}(V8,V9,V10), V7 == V10 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #49: input, references = 4, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V2,V5), P_c_Lambda_OdB_OVar-{F}(V3,V5) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #50: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V5), P_c_Lambda_OdB_OVar-{F}(V3,V5), V2 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #51: input, references = 3, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V4), P_c_Lambda_Osubst-{F}(V4,V3,V2,V5), V5 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #52: input, references = 4, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), V3 == V4 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #53: input, references = 3, size of lhs = 8:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), c_InductTermi_OIT-{F}(V5), P_c_Lambda_OdB_OVar-{F}(V7,V8), P_c_Lambda_Osubst-{F}(V5,V8,V6,V9) | c_InductTermi_OIT-{T}(V9)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #54: input, references = 3, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V6,V7), c_Lambda_Obeta-{F}(V7,V5) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #55: input, references = 4, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V7,V9), P_c_Lambda_OdB_OApp-{F}(V5,V6,V9) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #56: input, references = 3, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), c_InductTermi_OIT-{F}(V5), P_c_Lambda_Olift-{F}(V5,V6,V7) | c_InductTermi_OIT-{T}(V7)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #57: input, references = 3, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V6,V8), P_c_Lambda_OdB_OAbs-{F}(V5,V8) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #58: input, references = 4, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V5,V6) | c_InductTermi_OIT-{T}(V6)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #59: input, references = 3, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OAbs-{F}(V5,V6), c_InductTermi_OIT-{F}(V5) | c_InductTermi_OIT-{T}(V6)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #60: input, references = 3, size of lhs = 8:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), c_InductTermi_OIT-{F}(V5), P_c_Lambda_OdB_OVar-{F}(V6,V7), P_c_Lambda_OdB_OApp-{F}(V5,V7,V8) | c_InductTermi_OIT-{T}(V8)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #61: input, references = 3, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OApp-{F}(V5,V6,V9), P_c_Lambda_OdB_OVar-{F}(V7,V9) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #62: input, references = 4, size of lhs = 7:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5), c_InductTermi_OIT-{F}(V5) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #63: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5) | class_Ring__and__Field_Oordered__semidom-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #64: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5) | class_Ring__and__Field_Osemiring__1-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #65: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5) | class_Nat_Osemiring__char__0-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #66: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5) | class_Orderings_Opreorder-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #67: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5) | class_Orderings_Olinorder-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #68: input, references = 3, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4), P_c_Lambda_OdB_OVar-{F}(V2,V5) | class_Orderings_Oorder-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #69: input, references = 3, size of lhs = 2:
% 0.18/0.44     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Nat_Osemiring__1__class_Oof__nat-{T}(V0,V1,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #70: input, references = 5, size of lhs = 1:
% 0.18/0.44     #-{F} V0 | EXISTS V1: P_c_HOL_Ozero__class_Ozero-{T}(V0,V1)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #71: input, references = 4, size of lhs = 0:
% 0.18/0.44     FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #72: input, references = 3, size of lhs = 1:
% 0.18/0.44     #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OAbs-{T}(V0,V1)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #73: input, references = 3, size of lhs = 2:
% 0.18/0.44     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_Osko__Lambda__Xbeta__cases__2__1-{T}(V0,V1,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #74: input, references = 3, size of lhs = 2:
% 0.18/0.44     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_Olift-{T}(V0,V1,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #75: input, references = 4, size of lhs = 1:
% 0.18/0.44     #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OVar-{T}(V0,V1)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #76: input, references = 3, size of lhs = 3:
% 0.18/0.44     #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Lambda_Osubst-{T}(V0,V1,V2,V3)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #77: input, references = 3, size of lhs = 2:
% 0.18/0.44     #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_OdB_OApp-{T}(V0,V1,V2)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #78: input, references = 4, size of lhs = 1:
% 0.18/0.44     #-{F} V0 | EXISTS V1: P_v_env______-{T}(V0,V1)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #79: input, references = 4, size of lhs = 0:
% 0.18/0.44     FALSE | EXISTS V0: P_v_x______-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #80: input, references = 4, size of lhs = 0:
% 0.18/0.44     FALSE | EXISTS V0: P_v_Ta______-{T}(V0)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  number of initial rules = 81
% 0.18/0.44  
% 0.18/0.44  Simplifiers:
% 0.18/0.44  #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     class_Ring__and__Field_Oordered__semidom-{F}(V0), class_Ring__and__Field_Oordered__semidom-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     c_HOL_Oord__class_Oless-{F}(V0,V1,V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     class_Ring__and__Field_Osemiring__1-{F}(V0), class_Ring__and__Field_Osemiring__1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     class_Nat_Osemiring__char__0-{F}(V0), class_Nat_Osemiring__char__0-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     class_Orderings_Opreorder-{F}(V0), class_Orderings_Opreorder-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V0,V1,V2), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #91: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Lambda_OdB_OAbs-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #92: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Lambda_Osko__Lambda__Xbeta__cases__2__1-{F}(V0,V1,V2), P_c_Lambda_Osko__Lambda__Xbeta__cases__2__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #93: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Lambda_Olift-{F}(V0,V1,V2), P_c_Lambda_Olift-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #94: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Lambda_OdB_OVar-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #95: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Lambda_Osubst-{F}(V0,V1,V2,V3), P_c_Lambda_Osubst-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #96: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_c_Lambda_OdB_OApp-{F}(V0,V1,V2), P_c_Lambda_OdB_OApp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #97: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_v_env______-{F}(V0,V1), P_v_env______-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #98: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_v_x______-{F}(V0), P_v_x______-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #99: unsound, references = 3, size of lhs = 3:
% 0.18/0.44     P_v_Ta______-{F}(V0), P_v_Ta______-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  number of simplifiers = 19
% 0.18/0.44  
% 0.18/0.44  Learnt:
% 0.18/0.44  #101: exists( #70, #49 ), references = 1, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V2), P_c_Lambda_OdB_OVar-{F}(V3,V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #105: exists( #78, #52 ), references = 1, size of lhs = 4:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_Ta______-{F}(V3) | P_v_env______-{T}(V2,V3)
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #106: exists( #78, #55 ), references = 1, size of lhs = 6:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_Ta______-{F}(V3), P_c_Lambda_OdB_OVar-{F}(V4,V5), P_c_Lambda_OdB_OApp-{F}(V6,V7,V5) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #114: mergings( V2 == V7, V3 == V8, V4 == V0, V5 == V9, V6 == V10; #108 ), references = 1, size of lhs = 5:
% 0.18/0.44     P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_x______-{F}(V2), P_v_env______-{F}(V2,V3), P_v_Ta______-{F}(V4) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #119: mergings( V2 == V3, V3 == V5; #116 ), references = 1, size of lhs = 3:
% 0.18/0.44     P_tc_nat-{F}(V0), P_v_x______-{F}(V1), P_v_Ta______-{F}(V2) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #121: exists( #80, #116 ), references = 1, size of lhs = 2:
% 0.18/0.44     P_tc_nat-{F}(V0), P_v_x______-{F}(V1) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #123: exists( #79, #120 ), references = 1, size of lhs = 1:
% 0.18/0.44     P_tc_nat-{F}(V0) | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  #125: exists( #71, #122 ), references = 1, size of lhs = 0:
% 0.18/0.44     FALSE | FALSE
% 0.18/0.44        (used 0 times, uses = {})
% 0.18/0.44  
% 0.18/0.44  number of learnt formulas = 8
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  
% 0.18/0.44  randbase = 1
%------------------------------------------------------------------------------