TSTP Solution File: LCL808-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL808-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:10:09 EDT 2022
% Result : Unsatisfiable 1.94s 2.09s
% Output : Refutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL808-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 21:28:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.09 GeoParameters:
% 1.94/2.09
% 1.94/2.09 tptp_input = 1
% 1.94/2.09 tptp_output = 0
% 1.94/2.09 nonempty = 1
% 1.94/2.09 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.09 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.94/2.09
% 1.94/2.09
% 1.94/2.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.09 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.09
% 1.94/2.09 RuleSystem INPUT:
% 1.94/2.09
% 1.94/2.09 Initial Rules:
% 1.94/2.09 #0: input, references = 3, size of lhs = 4:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #1: input, references = 3, size of lhs = 6:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #2: input, references = 3, size of lhs = 6:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #3: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #4: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #5: input, references = 3, size of lhs = 5:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #6: input, references = 3, size of lhs = 5:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #7: input, references = 3, size of lhs = 5:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #8: input, references = 3, size of lhs = 5:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #9: input, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V1,V1,V0) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #10: input, references = 3, size of lhs = 4:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #11: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #12: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #13: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #14: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #15: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #16: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #17: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #18: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #19: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #20: input, references = 3, size of lhs = 4:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #21: input, references = 3, size of lhs = 4:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #22: input, references = 3, size of lhs = 4:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #23: input, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V0) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #24: input, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V2,V0) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #25: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #26: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #27: input, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V1,V0) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #28: input, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_HOL_Oord__class_Oless-{F}(V2,V1,V0) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #29: input, references = 4, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V2,V3,V6), P_c_Lambda_OdB_OVar-{F}(V4,V6) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #30: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #31: input, references = 3, size of lhs = 7:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #32: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_InductTermi_OIT-{F}(V2), P_c_Lambda_OdB_OVar-{F}(V3,V4), P_c_Lambda_OdB_OApp-{F}(V2,V4,V5) | c_InductTermi_OIT-{T}(V5)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #33: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #34: input, references = 4, size of lhs = 6:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #35: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #36: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #37: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #38: input, references = 3, size of lhs = 6:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #39: input, references = 4, size of lhs = 8:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #40: input, references = 3, size of lhs = 4:
% 1.94/2.09 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_OAbs-{F}(V3,V5) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #41: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V3,V5), P_c_Lambda_OdB_OAbs-{F}(V2,V5), V3 == V2 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #42: input, references = 3, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V4,V6), P_c_Lambda_OdB_OApp-{F}(V2,V3,V6) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #43: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #44: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V4,V3,V7), P_c_Lambda_OdB_OApp-{F}(V5,V2,V7), V3 == V2 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #45: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V3,V4,V7), P_c_Lambda_OdB_OApp-{F}(V2,V5,V7), V3 == V2 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #46: input, references = 3, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V3,V4), c_Lambda_Obeta-{F}(V4,V2) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #47: input, references = 3, size of lhs = 5:
% 1.94/2.09 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)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #48: input, references = 4, size of lhs = 6:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #49: input, references = 4, size of lhs = 4:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #50: input, references = 3, size of lhs = 5:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #51: input, references = 3, size of lhs = 4:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #52: input, references = 3, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V3,V5), P_c_Lambda_OdB_OVar-{F}(V2,V5) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #53: input, references = 3, size of lhs = 8:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #54: input, references = 4, size of lhs = 5:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #55: input, references = 4, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_InductTermi_OIT-{F}(V2), P_c_Lambda_OdB_OVar-{F}(V4,V5), P_c_Lambda_Osubst-{F}(V2,V5,V3,V6) | c_InductTermi_OIT-{T}(V6)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #56: input, references = 3, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), c_InductTermi_OIT-{F}(V2), P_c_Lambda_Olift-{F}(V2,V3,V4) | c_InductTermi_OIT-{T}(V4)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #57: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), V2 == V3 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #58: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_c_Lambda_OdB_OVar-{F}(V4,V5) | c_InductTermi_OIT-{T}(V5)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #59: input, references = 3, size of lhs = 7:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), c_Lambda_Obeta-{F}(V5,V4), P_c_Lambda_Osubst-{F}(V5,V7,V6,V8), P_c_Lambda_Osubst-{F}(V4,V7,V6,V9) | c_Lambda_Obeta-{T}(V8,V9)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #60: input, references = 3, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4) | c_InductTermi_OIT-{T}(V4)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #61: input, references = 3, size of lhs = 7:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_c_Lambda_OdB_OAbs-{F}(V5,V6), c_InductTermi_OIT-{F}(V5) | c_InductTermi_OIT-{T}(V6)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #62: input, references = 6, size of lhs = 6:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5) | c_InductTermi_OIT-{T}(V5)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #63: input, references = 5, size of lhs = 9:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_c_Lambda_Olift-{F}(V7,V8,V9), P_c_Lambda_Osubst-{F}(V9,V6,V8,V10), V10 == V7 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #64: input, references = 5, size of lhs = 12:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11) | c_Type_Otyping-{T}(V9,V10,V11)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #65: input, references = 5, size of lhs = 17:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), c_InductTermi_OIT-{F}(V12), c_Type_Otyping-{F}(V13,V12,V7), P_c_Lambda_Osubst-{F}(V10,V12,V14,V15), P_c_Type_Oshift-{F}(V13,V14,V7,V8,V16), c_Type_Otyping-{F}(V16,V10,V17) | c_InductTermi_OIT-{T}(V15)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #66: input, references = 3, size of lhs = 12:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11) | c_InductTermi_OIT-{T}(V5)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #67: input, references = 5, size of lhs = 12:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11) | c_Type_Otyping-{T}(V6,V5,V7)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #68: input, references = 5, size of lhs = 14:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12), c_InductTermi_OIT-{F}(V12) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #69: input, references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12) | class_Ring__and__Field_Oordered__semidom-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #70: input, references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12) | class_Ring__and__Field_Osemiring__1-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #71: input, references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12) | class_Nat_Osemiring__char__0-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #72: input, references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12) | class_Orderings_Opreorder-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #73: input, references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12) | class_Orderings_Olinorder-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #74: input, references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_c_Type_Oshift-{F}(V6,V3,V7,V8,V9), P_v_b____-{F}(V10), P_v_Ua____-{F}(V11), P_c_Lambda_Osubst-{F}(V10,V5,V3,V12) | class_Orderings_Oorder-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #75: input, references = 3, size of lhs = 2:
% 1.94/2.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Nat_Osemiring__1__class_Oof__nat-{T}(V0,V1,V2)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #76: input, references = 8, size of lhs = 1:
% 1.94/2.09 #-{F} V0 | EXISTS V1: P_c_HOL_Ozero__class_Ozero-{T}(V0,V1)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #77: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #78: input, references = 4, size of lhs = 2:
% 1.94/2.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_OdB_OApp-{T}(V0,V1,V2)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #79: input, references = 3, size of lhs = 1:
% 1.94/2.09 #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OVar-{T}(V0,V1)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #80: input, references = 3, size of lhs = 1:
% 1.94/2.09 #-{F} V0 | EXISTS V1: P_c_Lambda_OdB_OAbs-{T}(V0,V1)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #81: input, references = 3, size of lhs = 2:
% 1.94/2.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_Osko__Lambda__Xbeta__cases__2__1-{T}(V0,V1,V2)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #82: input, references = 4, size of lhs = 2:
% 1.94/2.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Lambda_Olift-{T}(V0,V1,V2)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #83: input, references = 7, size of lhs = 3:
% 1.94/2.09 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Lambda_Osubst-{T}(V0,V1,V2,V3)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #84: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_n____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #85: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_i____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #86: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_ua______-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #87: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_u____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #88: input, references = 5, size of lhs = 4:
% 1.94/2.09 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Type_Oshift-{T}(V0,V1,V2,V3,V4)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #89: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_e____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #90: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_T____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #91: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_tc_Type_Otype-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #92: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_b____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #93: input, references = 4, size of lhs = 0:
% 1.94/2.09 FALSE | EXISTS V0: P_v_Ua____-{T}(V0)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 number of initial rules = 94
% 1.94/2.09
% 1.94/2.09 Simplifiers:
% 1.94/2.09 #94: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 class_Ring__and__Field_Oordered__semidom-{F}(V0), class_Ring__and__Field_Oordered__semidom-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #95: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 c_HOL_Oord__class_Oless-{F}(V0,V1,V2), c_HOL_Oord__class_Oless-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #96: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 class_Ring__and__Field_Osemiring__1-{F}(V0), class_Ring__and__Field_Osemiring__1-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #97: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 class_Nat_Osemiring__char__0-{F}(V0), class_Nat_Osemiring__char__0-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #98: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 class_Orderings_Opreorder-{F}(V0), class_Orderings_Opreorder-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #99: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #100: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #101: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #102: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V0,V3), V1 == V3 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #103: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #104: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_Lambda_OdB_OApp-{F}(V0,V1,V2), P_c_Lambda_OdB_OApp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #105: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_Lambda_OdB_OVar-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V0,V3), V1 == V3 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #106: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_Lambda_OdB_OAbs-{F}(V0,V1), P_c_Lambda_OdB_OAbs-{F}(V0,V3), V1 == V3 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #107: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 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
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #108: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_Lambda_Olift-{F}(V0,V1,V2), P_c_Lambda_Olift-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #109: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_Lambda_Osubst-{F}(V0,V1,V2,V3), P_c_Lambda_Osubst-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #110: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_n____-{F}(V0), P_v_n____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #111: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_i____-{F}(V0), P_v_i____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #112: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_ua______-{F}(V0), P_v_ua______-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #113: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_u____-{F}(V0), P_v_u____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #114: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_c_Type_Oshift-{F}(V0,V1,V2,V3,V4), P_c_Type_Oshift-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #115: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_e____-{F}(V0), P_v_e____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #116: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_T____-{F}(V0), P_v_T____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #117: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_tc_Type_Otype-{F}(V0), P_tc_Type_Otype-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #118: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_b____-{F}(V0), P_v_b____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #119: unsound, references = 3, size of lhs = 3:
% 1.94/2.09 P_v_Ua____-{F}(V0), P_v_Ua____-{F}(V1), V0 == V1 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 number of simplifiers = 26
% 1.94/2.09
% 1.94/2.09 Learnt:
% 1.94/2.09 #123: exists( #76, #29 ), references = 1, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V1,V2), P_c_Lambda_OdB_OApp-{F}(V3,V4,V2) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #124: exists( #76, #54 ), references = 2, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V1,V2), P_c_Lambda_Osubst-{F}(V2,V3,V1,V4), V4 == V3 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #127: exists( #83, #124 ), references = 1, size of lhs = 3:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OVar-{F}(V1,V2), #-{F} V3 | P_c_Lambda_Osubst-{T}(V2,V3,V1,V3)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #129: exists( #82, #34 ), references = 1, size of lhs = 4:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V3), c_HOL_Oord__class_Oless-{F}(V2,V4,V0) | P_c_Lambda_Olift-{T}(V3,V4,V3)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #132: exists( #83, #48 ), references = 1, size of lhs = 5:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OVar-{F}(V2,V3), c_HOL_Oord__class_Oless-{F}(V2,V4,V0), #-{F} V5 | P_c_Lambda_Osubst-{T}(V3,V5,V4,V3)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #133: exists( #83, #63 ), references = 1, size of lhs = 8:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_c_Lambda_Olift-{F}(V6,V7,V8), #-{F} V9 | P_c_Lambda_Osubst-{T}(V8,V9,V7,V6)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #137: exists( #88, #68 ), references = 3, size of lhs = 13:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_u____-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_v_b____-{F}(V9), P_v_Ua____-{F}(V10), P_c_Lambda_Osubst-{F}(V9,V5,V3,V11), c_InductTermi_OIT-{F}(V11) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #146: mergings( V4 == V6, V5 == V7; #143 ), references = 1, size of lhs = 13:
% 1.94/2.09 c_InductTermi_OIT-{F}(V0), P_v_b____-{F}(V0), P_tc_nat-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_v_n____-{F}(V3), P_v_i____-{F}(V4), P_v_ua______-{F}(V5), P_v_u____-{F}(V6), P_v_e____-{F}(V7), P_v_T____-{F}(V8), P_tc_Type_Otype-{F}(V9), P_v_Ua____-{F}(V10), P_c_Lambda_OdB_OVar-{F}(V11,V6) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #153: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #148 ), references = 1, size of lhs = 11:
% 1.94/2.09 P_v_b____-{F}(V0), P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7), P_v_Ua____-{F}(V8), P_c_Lambda_OdB_OVar-{F}(V9,V0) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #155: exists( #76, #63 ), references = 1, size of lhs = 8:
% 1.94/2.09 P_tc_nat-{F}(V0), P_v_n____-{F}(V1), P_v_i____-{F}(V2), P_v_ua______-{F}(V3), P_v_u____-{F}(V4), P_c_Lambda_Olift-{F}(V5,V6,V7), P_c_Lambda_Osubst-{F}(V7,V8,V6,V9), V9 == V5 | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #157: exists( #78, #39 ), references = 1, size of lhs = 6:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_Lambda_OdB_OApp-{F}(V2,V3,V4), P_c_Lambda_Olift-{F}(V4,V5,V6), P_c_Lambda_Olift-{F}(V2,V5,V7), P_c_Lambda_Olift-{F}(V3,V5,V8) | P_c_Lambda_OdB_OApp-{T}(V7,V8,V6)
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #162: exists( #76, #158 ), references = 1, size of lhs = 6:
% 1.94/2.09 P_tc_nat-{F}(V0), P_c_Lambda_OdB_OAbs-{F}(V1,V2), P_c_Lambda_Olift-{F}(V3,V4,V2), P_c_Lambda_OdB_OApp-{F}(V5,V6,V3), P_c_Lambda_Olift-{F}(V5,V4,V7), P_c_Lambda_Olift-{F}(V6,V4,V8) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #193: mergings( V5 == V11, V6 == V12, V11 == V18, V12 == V19, V18 == V25, V19 == V26, V7 == V13, V13 == V20, V20 == V27, V8 == V14, V14 == V21, V21 == V28, V9 == V15, V15 == V22, V22 == V29, V16 == V23, V23 == V30, V10 == V17, V17 == V24, V24 == V31; #172 ), references = 1, size of lhs = 13:
% 1.94/2.09 c_InductTermi_OIT-{F}(V0), P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_v_n____-{F}(V3), P_v_i____-{F}(V4), P_v_ua______-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_v_b____-{F}(V9), P_v_Ua____-{F}(V10), P_c_Lambda_Osubst-{F}(V9,V0,V4,V11) | FALSE
% 1.94/2.09 (used 0 times, uses = {})
% 1.94/2.09
% 1.94/2.09 #218: mergings( V5 == V11, V6 == V12, V11 == V18, V12 == V19, V18 == V25, V19 == V26, V7 == V13, V13 == V20, V20 == V27, V1 == V28, V8 == V14, V14 == V21, V21 == V29, V9 == V15, V15 == V22, V22 == V30, V0 == V31, V2 == V32, V3 == V33, V16 == V23, V23 == V34, V10 == V17, V17 == V24, V24 == V35; #171 ), references = 1, size of lhs = 13:
% 1.94/2.10 c_InductTermi_OIT-{F}(V0), P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_v_n____-{F}(V3), P_v_i____-{F}(V4), P_v_ua______-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_v_b____-{F}(V9), P_v_Ua____-{F}(V10), P_c_Lambda_Osubst-{F}(V9,V0,V4,V11) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #239: mergings( V4 == V10, V5 == V11, V10 == V16, V11 == V17, V16 == V22, V17 == V23, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V13 == V19, V19 == V25, V8 == V1, V1 == V20, V14 == V0, V9 == V15, V15 == V21, V21 == V29; #219 ), references = 1, size of lhs = 12:
% 1.94/2.10 c_InductTermi_OIT-{F}(V0), P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_v_n____-{F}(V3), P_v_i____-{F}(V4), P_v_ua______-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_v_b____-{F}(V9), P_v_Ua____-{F}(V10) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #261: mergings( V4 == V10, V5 == V11, V10 == V16, V11 == V17, V16 == V25, V17 == V26, V6 == V12, V12 == V18, V18 == V27, V7 == V13, V13 == V19, V19 == V28, V8 == V1, V1 == V20, V21 == V29, V22 == V30, V23 == V31, V14 == V0, V9 == V15, V15 == V24, V24 == V32; #220 ), references = 1, size of lhs = 12:
% 1.94/2.10 c_InductTermi_OIT-{F}(V0), P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_v_n____-{F}(V3), P_v_i____-{F}(V4), P_v_ua______-{F}(V5), P_v_e____-{F}(V6), P_v_T____-{F}(V7), P_tc_Type_Otype-{F}(V8), P_v_b____-{F}(V9), P_v_Ua____-{F}(V10) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #281: mergings( V2 == V5, V5 == V9, V9 == V14, V14 == V18, V3 == V19, V4 == V6, V6 == V10, V10 == V15, V15 == V20, V7 == V11, V11 == V16, V12 == V24, V8 == V13, V13 == V17, V17 == V25; #264 ), references = 1, size of lhs = 10:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7), P_v_b____-{F}(V8), P_v_Ua____-{F}(V9) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #300: mergings( V2 == V5, V5 == V9, V9 == V14, V14 == V21, V3 == V22, V4 == V6, V6 == V10, V10 == V15, V15 == V23, V7 == V11, V11 == V16, V17 == V24, V18 == V25, V19 == V26, V12 == V27, V8 == V13, V13 == V20, V20 == V28; #265 ), references = 1, size of lhs = 10:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7), P_v_b____-{F}(V8), P_v_Ua____-{F}(V9) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #315: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V15, V2 == V16, V3 == V5, V5 == V8, V8 == V12, V12 == V17, V6 == V9, V9 == V13, V10 == V21; #301 ), references = 1, size of lhs = 9:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7), P_v_b____-{F}(V8) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #331: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V18, V2 == V19, V3 == V5, V5 == V8, V8 == V12, V12 == V20, V6 == V9, V9 == V13, V14 == V21, V15 == V22, V16 == V23, V10 == V24; #302 ), references = 1, size of lhs = 9:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7), P_v_b____-{F}(V8) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #345: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V14, V2 == V15, V3 == V5, V5 == V8, V8 == V11, V11 == V16, V6 == V9, V9 == V12; #332 ), references = 1, size of lhs = 8:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #360: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V17, V2 == V18, V3 == V5, V5 == V8, V8 == V11, V11 == V19, V6 == V9, V9 == V12, V13 == V20, V14 == V21, V15 == V22; #333 ), references = 1, size of lhs = 8:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6), P_tc_Type_Otype-{F}(V7) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #374: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V14, V2 == V15, V3 == V5, V5 == V8, V8 == V11, V11 == V16, V6 == V9, V9 == V12; #361 ), references = 1, size of lhs = 7:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5), P_v_T____-{F}(V6) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #388: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V14, V2 == V15, V3 == V5, V5 == V8, V8 == V11, V11 == V16, V6 == V9, V9 == V12; #375 ), references = 1, size of lhs = 6:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4), P_v_e____-{F}(V5) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #402: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V14, V2 == V15, V3 == V5, V5 == V8, V8 == V11, V11 == V16, V6 == V9, V9 == V12; #389 ), references = 1, size of lhs = 5:
% 1.94/2.10 P_v_u____-{F}(V0), P_tc_nat-{F}(V1), P_v_n____-{F}(V2), P_v_i____-{F}(V3), P_v_ua______-{F}(V4) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #414: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V11, V2 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V13; #403 ), references = 1, size of lhs = 4:
% 1.94/2.10 P_tc_nat-{F}(V0), P_v_n____-{F}(V1), P_v_i____-{F}(V2), P_v_ua______-{F}(V3) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #422: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V7, V2 == V8; #415 ), references = 1, size of lhs = 3:
% 1.94/2.10 P_tc_nat-{F}(V0), P_v_n____-{F}(V1), P_v_i____-{F}(V2) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #429: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6; #423 ), references = 1, size of lhs = 2:
% 1.94/2.10 P_tc_nat-{F}(V0), P_v_n____-{F}(V1) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #432: exists( #84, #423 ), references = 1, size of lhs = 1:
% 1.94/2.10 P_tc_nat-{F}(V0) | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 #435: exists( #77, #430 ), references = 1, size of lhs = 0:
% 1.94/2.10 FALSE | FALSE
% 1.94/2.10 (used 0 times, uses = {})
% 1.94/2.10
% 1.94/2.10 number of learnt formulas = 30
% 1.94/2.10
% 1.94/2.10
% 1.94/2.10 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.94/2.10
% 1.94/2.10 randbase = 1
%------------------------------------------------------------------------------