%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL512+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:23 PM UTC 2026
% Result : Theorem 195.56s 195.81s
% Output : Refutation 195.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL512+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 17:13:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 195.56/195.81 GeoParameters:
% 195.56/195.81
% 195.56/195.81 tptp_input = 1
% 195.56/195.81 tptp_output = 0
% 195.56/195.81 nonempty = 1
% 195.56/195.81 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 195.56/195.81 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 195.56/195.81
% 195.56/195.81
% 195.56/195.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 195.56/195.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 195.56/195.81
% 195.56/195.81 RuleSystem INPUT:
% 195.56/195.81
% 195.56/195.81 Initial Rules:
% 195.56/195.81 #0: input, references = 3, size of lhs = 1:
% 195.56/195.81 modus_ponens-{F}() | pppp0-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp0-{F}() | modus_ponens-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2: input, references = 17, size of lhs = 4:
% 195.56/195.81 pppp0-{F}(), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2) | is_a_theorem-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #3: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp0-{T}(), pppp81-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #4: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp81-{F}() | EXISTS V0: pppp27-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #5: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp27-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #6: input, references = 3, size of lhs = 2:
% 195.56/195.81 pppp27-{F}(V0), is_a_theorem-{F}(V0) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #7: input, references = 3, size of lhs = 2:
% 195.56/195.81 pppp26-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #8: input, references = 3, size of lhs = 2:
% 195.56/195.81 pppp26-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #9: input, references = 3, size of lhs = 1:
% 195.56/195.81 substitution_of_equivalents-{F}() | pppp1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #10: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp1-{F}() | substitution_of_equivalents-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #11: input, references = 8, size of lhs = 4:
% 195.56/195.81 pppp1-{F}(), P_equiv-{F}(V0,V1,V2), is_a_theorem-{F}(V2), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #12: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp1-{T}(), pppp82-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #13: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp82-{F}() | EXISTS V0: pppp29-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #14: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp29-{F}(V0) | EXISTS V1: pppp28-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #15: input, references = 3, size of lhs = 2:
% 195.56/195.81 pppp28-{F}(V1,V1), P_equiv-{F}(V1,V1,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #16: input, references = 3, size of lhs = 2:
% 195.56/195.81 pppp28-{F}(V0,V1), P_equiv-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #17: input, references = 3, size of lhs = 1:
% 195.56/195.81 modus_tollens-{F}() | pppp2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #18: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp2-{F}() | modus_tollens-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #19: input, references = 3, size of lhs = 6:
% 195.56/195.81 pppp2-{F}(), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V0,V1,V5), P_implies-{F}(V4,V5,V6) | is_a_theorem-{T}(V6)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #20: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp2-{T}(), pppp83-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #21: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp83-{F}() | EXISTS V0: pppp31-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #22: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp31-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #23: input, references = 5, size of lhs = 7:
% 195.56/195.81 pppp30-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V0,V1,V5), P_implies-{F}(V4,V5,V6), is_a_theorem-{F}(V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #24: input, references = 3, size of lhs = 1:
% 195.56/195.81 implies_1-{F}() | pppp3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #25: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp3-{F}() | implies_1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #26: input, references = 3, size of lhs = 3:
% 195.56/195.81 pppp3-{F}(), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #27: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp3-{T}(), pppp84-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #28: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp84-{F}() | EXISTS V0: pppp33-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #29: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #30: input, references = 6, size of lhs = 4:
% 195.56/195.81 pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #31: input, references = 3, size of lhs = 1:
% 195.56/195.81 implies_2-{F}() | pppp4-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #32: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp4-{F}() | implies_2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #33: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp4-{F}(), P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V3,V2,V4) | is_a_theorem-{T}(V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #34: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp4-{T}(), pppp85-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #35: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp85-{F}() | EXISTS V0: pppp35-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #36: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp35-{F}(V0) | EXISTS V1: pppp34-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #37: input, references = 3, size of lhs = 5:
% 195.56/195.81 pppp34-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V3,V2,V4), is_a_theorem-{F}(V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #38: input, references = 3, size of lhs = 1:
% 195.56/195.81 implies_3-{F}() | pppp5-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #39: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp5-{F}() | implies_3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #40: input, references = 8, size of lhs = 6:
% 195.56/195.81 pppp5-{F}(), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #41: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp5-{T}(), pppp86-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #42: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp86-{F}() | EXISTS V0: pppp38-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #43: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp38-{F}(V0) | EXISTS V1: pppp37-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #44: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp37-{F}(V0,V1) | EXISTS V2: pppp36-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #45: input, references = 3, size of lhs = 7:
% 195.56/195.81 pppp36-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #46: input, references = 3, size of lhs = 1:
% 195.56/195.81 and_1-{F}() | pppp6-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #47: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp6-{F}() | and_1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #48: input, references = 3, size of lhs = 3:
% 195.56/195.81 pppp6-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #49: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp6-{T}(), pppp87-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #50: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp87-{F}() | EXISTS V0: pppp40-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #51: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp40-{F}(V0) | EXISTS V1: pppp39-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #52: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp39-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #53: input, references = 3, size of lhs = 1:
% 195.56/195.81 and_2-{F}() | pppp7-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #54: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp7-{F}() | and_2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #55: input, references = 3, size of lhs = 3:
% 195.56/195.81 pppp7-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #56: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp7-{T}(), pppp88-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #57: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp88-{F}() | EXISTS V0: pppp42-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #58: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp42-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #59: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp41-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #60: input, references = 3, size of lhs = 1:
% 195.56/195.81 and_3-{F}() | pppp8-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #61: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp8-{F}() | and_3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #62: input, references = 9, size of lhs = 4:
% 195.56/195.81 pppp8-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #63: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp8-{T}(), pppp89-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #64: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp89-{F}() | EXISTS V0: pppp44-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #65: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp44-{F}(V0) | EXISTS V1: pppp43-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #66: input, references = 3, size of lhs = 5:
% 195.56/195.81 pppp43-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), P_implies-{F}(V0,V3,V4), is_a_theorem-{F}(V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #67: input, references = 3, size of lhs = 1:
% 195.56/195.81 or_1-{F}() | pppp9-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #68: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp9-{F}() | or_1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #69: input, references = 8, size of lhs = 3:
% 195.56/195.81 pppp9-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #70: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp9-{T}(), pppp90-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #71: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp90-{F}() | EXISTS V0: pppp46-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #72: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp46-{F}(V0) | EXISTS V1: pppp45-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #73: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp45-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #74: input, references = 3, size of lhs = 1:
% 195.56/195.81 or_2-{F}() | pppp10-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #75: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp10-{F}() | or_2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #76: input, references = 3, size of lhs = 3:
% 195.56/195.81 pppp10-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #77: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp10-{T}(), pppp91-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #78: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp91-{F}() | EXISTS V0: pppp48-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #79: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp48-{F}(V0) | EXISTS V1: pppp47-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #80: input, references = 4, size of lhs = 4:
% 195.56/195.81 pppp47-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #81: input, references = 3, size of lhs = 1:
% 195.56/195.81 or_3-{F}() | pppp11-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #82: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp11-{F}() | or_3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #83: input, references = 3, size of lhs = 7:
% 195.56/195.81 pppp11-{F}(), P_implies-{F}(V0,V2,V3), P_implies-{F}(V1,V2,V4), P_or-{F}(V0,V1,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V3,V7,V8) | is_a_theorem-{T}(V8)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #84: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp11-{T}(), pppp92-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #85: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp92-{F}() | EXISTS V0: pppp51-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #86: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp51-{F}(V0) | EXISTS V1: pppp50-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #87: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp50-{F}(V0,V1) | EXISTS V2: pppp49-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #88: input, references = 3, size of lhs = 8:
% 195.56/195.81 pppp49-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), P_implies-{F}(V1,V2,V4), P_or-{F}(V0,V1,V5), P_implies-{F}(V5,V2,V6), P_implies-{F}(V4,V6,V7), P_implies-{F}(V3,V7,V8), is_a_theorem-{F}(V8) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #89: input, references = 3, size of lhs = 1:
% 195.56/195.81 equivalence_1-{F}() | pppp12-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #90: input, references = 4, size of lhs = 1:
% 195.56/195.81 pppp12-{F}() | equivalence_1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #91: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp12-{F}(), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V2,V3,V4) | is_a_theorem-{T}(V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #92: input, references = 4, size of lhs = 0:
% 195.56/195.81 FALSE | pppp12-{T}(), pppp93-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #93: input, references = 4, size of lhs = 1:
% 195.56/195.81 pppp93-{F}() | EXISTS V0: pppp53-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #94: input, references = 4, size of lhs = 1:
% 195.56/195.81 pppp53-{F}(V0) | EXISTS V1: pppp52-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #95: input, references = 4, size of lhs = 5:
% 195.56/195.81 pppp52-{F}(V0,V1), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V2,V3,V4), is_a_theorem-{F}(V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #96: input, references = 3, size of lhs = 1:
% 195.56/195.81 equivalence_2-{F}() | pppp13-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #97: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp13-{F}() | equivalence_2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #98: input, references = 4, size of lhs = 4:
% 195.56/195.81 pppp13-{F}(), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4) | is_a_theorem-{T}(V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #99: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp13-{T}(), pppp94-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #100: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp94-{F}() | EXISTS V0: pppp55-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #101: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp55-{F}(V0) | EXISTS V1: pppp54-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #102: input, references = 3, size of lhs = 5:
% 195.56/195.81 pppp54-{F}(V0,V1), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4), is_a_theorem-{F}(V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #103: input, references = 3, size of lhs = 1:
% 195.56/195.81 equivalence_3-{F}() | pppp14-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #104: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp14-{F}() | equivalence_3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #105: input, references = 3, size of lhs = 6:
% 195.56/195.81 pppp14-{F}(), P_implies-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_equiv-{F}(V0,V1,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V5,V6) | is_a_theorem-{T}(V6)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #106: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp14-{T}(), pppp95-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #107: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp95-{F}() | EXISTS V0: pppp57-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #108: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp57-{F}(V0) | EXISTS V1: pppp56-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #109: input, references = 3, size of lhs = 7:
% 195.56/195.81 pppp56-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_equiv-{F}(V0,V1,V4), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V5,V6), is_a_theorem-{F}(V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #110: input, references = 3, size of lhs = 1:
% 195.56/195.81 kn1-{F}() | pppp15-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #111: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp15-{F}() | kn1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #112: input, references = 10, size of lhs = 3:
% 195.56/195.81 pppp15-{F}(), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #113: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp15-{T}(), pppp96-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #114: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp96-{F}() | EXISTS V0: pppp58-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #115: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp58-{F}(V0), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #116: input, references = 4, size of lhs = 1:
% 195.56/195.81 kn2-{F}() | pppp16-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #117: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp16-{F}() | kn2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #118: input, references = 21, size of lhs = 3:
% 195.56/195.81 pppp16-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #119: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp16-{T}(), pppp97-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #120: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp97-{F}() | EXISTS V0: pppp60-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #121: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp60-{F}(V0) | EXISTS V1: pppp59-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #122: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp59-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #123: input, references = 3, size of lhs = 1:
% 195.56/195.81 kn3-{F}() | pppp17-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #124: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp17-{F}() | kn3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #125: input, references = 11, size of lhs = 8:
% 195.56/195.81 pppp17-{F}(), P_implies-{F}(V0,V1,V3), P_and-{F}(V1,V2,V4), P_not-{F}(V4,V5), P_and-{F}(V2,V0,V6), P_not-{F}(V6,V7), P_implies-{F}(V5,V7,V8), P_implies-{F}(V3,V8,V9) | is_a_theorem-{T}(V9)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #126: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp17-{T}(), pppp98-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #127: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp98-{F}() | EXISTS V0: pppp63-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #128: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp63-{F}(V0) | EXISTS V1: pppp62-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #129: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp62-{F}(V0,V1) | EXISTS V2: pppp61-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #130: input, references = 3, size of lhs = 9:
% 195.56/195.81 pppp61-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_and-{F}(V1,V2,V4), P_not-{F}(V4,V5), P_and-{F}(V2,V0,V6), P_not-{F}(V6,V7), P_implies-{F}(V5,V7,V8), P_implies-{F}(V3,V8,V9), is_a_theorem-{F}(V9) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #131: input, references = 3, size of lhs = 1:
% 195.56/195.81 cn1-{F}() | pppp18-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #132: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp18-{F}() | cn1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #133: input, references = 3, size of lhs = 6:
% 195.56/195.81 pppp18-{F}(), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #134: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp18-{T}(), pppp99-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #135: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp99-{F}() | EXISTS V0: pppp66-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #136: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp66-{F}(V0) | EXISTS V1: pppp65-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #137: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp65-{F}(V0,V1) | EXISTS V2: pppp64-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #138: input, references = 3, size of lhs = 7:
% 195.56/195.81 pppp64-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V2,V4), P_implies-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #139: input, references = 3, size of lhs = 1:
% 195.56/195.81 cn2-{F}() | pppp19-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #140: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp19-{F}() | cn2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #141: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp19-{F}(), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #142: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp19-{T}(), pppp100-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #143: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp100-{F}() | EXISTS V0: pppp68-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #144: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp68-{F}(V0) | EXISTS V1: pppp67-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #145: input, references = 4, size of lhs = 5:
% 195.56/195.81 pppp67-{F}(V0,V1), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4), is_a_theorem-{F}(V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #146: input, references = 3, size of lhs = 1:
% 195.56/195.81 cn3-{F}() | pppp20-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #147: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp20-{F}() | cn3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #148: input, references = 6, size of lhs = 4:
% 195.56/195.81 pppp20-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #149: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp20-{T}(), pppp101-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #150: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp101-{F}() | EXISTS V0: pppp69-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #151: input, references = 3, size of lhs = 5:
% 195.56/195.81 pppp69-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #152: input, references = 3, size of lhs = 1:
% 195.56/195.81 r1-{F}() | pppp21-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #153: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp21-{F}() | r1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #154: input, references = 3, size of lhs = 3:
% 195.56/195.81 pppp21-{F}(), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | is_a_theorem-{T}(V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #155: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp21-{T}(), pppp102-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #156: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp102-{F}() | EXISTS V0: pppp70-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #157: input, references = 3, size of lhs = 4:
% 195.56/195.81 pppp70-{F}(V0), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #158: input, references = 3, size of lhs = 1:
% 195.56/195.81 r2-{F}() | pppp22-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #159: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp22-{F}() | r2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #160: input, references = 3, size of lhs = 3:
% 195.56/195.81 pppp22-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #161: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp22-{T}(), pppp103-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #162: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp103-{F}() | EXISTS V0: pppp72-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #163: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp72-{F}(V0) | EXISTS V1: pppp71-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #164: input, references = 4, size of lhs = 4:
% 195.56/195.81 pppp71-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #165: input, references = 3, size of lhs = 1:
% 195.56/195.81 r3-{F}() | pppp23-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #166: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp23-{F}() | r3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #167: input, references = 6, size of lhs = 4:
% 195.56/195.81 pppp23-{F}(), P_or-{F}(V0,V1,V2), P_or-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4) | is_a_theorem-{T}(V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #168: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp23-{T}(), pppp104-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #169: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp104-{F}() | EXISTS V0: pppp74-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #170: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp74-{F}(V0) | EXISTS V1: pppp73-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #171: input, references = 3, size of lhs = 5:
% 195.56/195.81 pppp73-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_or-{F}(V1,V0,V3), P_implies-{F}(V2,V3,V4), is_a_theorem-{F}(V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #172: input, references = 3, size of lhs = 1:
% 195.56/195.81 r4-{F}() | pppp24-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #173: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp24-{F}() | r4-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #174: input, references = 3, size of lhs = 6:
% 195.56/195.81 pppp24-{F}(), P_or-{F}(V1,V2,V3), P_or-{F}(V0,V3,V4), P_or-{F}(V0,V2,V5), P_or-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7) | is_a_theorem-{T}(V7)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #175: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp24-{T}(), pppp105-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #176: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp105-{F}() | EXISTS V0: pppp77-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #177: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp77-{F}(V0) | EXISTS V1: pppp76-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #178: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp76-{F}(V0,V1) | EXISTS V2: pppp75-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #179: input, references = 3, size of lhs = 7:
% 195.56/195.81 pppp75-{F}(V0,V1,V2), P_or-{F}(V1,V2,V3), P_or-{F}(V0,V3,V4), P_or-{F}(V0,V2,V5), P_or-{F}(V1,V5,V6), P_implies-{F}(V4,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #180: input, references = 3, size of lhs = 1:
% 195.56/195.81 r5-{F}() | pppp25-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #181: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp25-{F}() | r5-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #182: input, references = 3, size of lhs = 6:
% 195.56/195.81 pppp25-{F}(), P_implies-{F}(V1,V2,V3), P_or-{F}(V0,V1,V4), P_or-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #183: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | pppp25-{T}(), pppp106-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #184: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp106-{F}() | EXISTS V0: pppp80-{T}(V0)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #185: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp80-{F}(V0) | EXISTS V1: pppp79-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #186: input, references = 3, size of lhs = 1:
% 195.56/195.81 pppp79-{F}(V0,V1) | EXISTS V2: pppp78-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #187: input, references = 3, size of lhs = 7:
% 195.56/195.81 pppp78-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), P_or-{F}(V0,V1,V4), P_or-{F}(V0,V2,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #188: input, references = 6, size of lhs = 7:
% 195.56/195.81 op_or-{F}(), P_or-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_not-{F}(V1,V4), P_and-{F}(V3,V4,V5), P_not-{F}(V5,V6), V2 == V6 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #189: input, references = 3, size of lhs = 7:
% 195.56/195.81 op_and-{F}(), P_and-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_not-{F}(V1,V4), P_or-{F}(V3,V4,V5), P_not-{F}(V5,V6), V2 == V6 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #190: input, references = 7, size of lhs = 6:
% 195.56/195.81 op_implies_and-{F}(), P_implies-{F}(V0,V1,V2), P_not-{F}(V1,V3), P_and-{F}(V0,V3,V4), P_not-{F}(V4,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #191: input, references = 3, size of lhs = 5:
% 195.56/195.81 op_implies_or-{F}(), P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #192: input, references = 5, size of lhs = 6:
% 195.56/195.81 op_equiv-{F}(), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V0,V4), P_and-{F}(V3,V4,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #193: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | op_or-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #194: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | op_implies_and-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #195: input, references = 4, size of lhs = 0:
% 195.56/195.81 FALSE | op_equiv-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #196: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | modus_ponens-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #197: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | kn1-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #198: input, references = 4, size of lhs = 0:
% 195.56/195.81 FALSE | kn2-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #199: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | kn3-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #200: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | substitution_of_equivalents-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #201: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | op_or-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #202: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | op_implies_and-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #203: input, references = 3, size of lhs = 0:
% 195.56/195.81 FALSE | op_equiv-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #204: input, references = 4, size of lhs = 1:
% 195.56/195.81 equivalence_1-{F}() | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #205: input, references = 29, size of lhs = 2:
% 195.56/195.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #206: input, references = 15, size of lhs = 2:
% 195.56/195.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_equiv-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #207: input, references = 5, size of lhs = 1:
% 195.56/195.81 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #208: input, references = 15, size of lhs = 2:
% 195.56/195.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #209: input, references = 22, size of lhs = 2:
% 195.56/195.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 number of initial rules = 210
% 195.56/195.81
% 195.56/195.81 Simplifiers:
% 195.56/195.81 #210: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #211: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 P_equiv-{F}(V0,V1,V2), P_equiv-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #212: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #213: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #214: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #215: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #216: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #217: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #218: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #219: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp28-{F}(V0,V1), pppp28-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #220: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #221: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp30-{F}(V0,V1), pppp30-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #222: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp30-{F}(V0,V1), pppp30-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #223: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #224: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #225: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #226: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #227: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp34-{F}(V0,V1), pppp34-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #228: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp34-{F}(V0,V1), pppp34-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #229: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #230: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #231: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V4,V5), V1 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #232: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V0 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #233: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp37-{F}(V0,V1), pppp37-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #234: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp37-{F}(V0,V1), pppp37-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #235: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp38-{F}(V0), pppp38-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #236: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp39-{F}(V0,V1), pppp39-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #237: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp39-{F}(V0,V1), pppp39-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #238: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp40-{F}(V0), pppp40-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #239: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp41-{F}(V0,V1), pppp41-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #240: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp41-{F}(V0,V1), pppp41-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #241: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp42-{F}(V0), pppp42-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #242: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp43-{F}(V0,V1), pppp43-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #243: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp43-{F}(V0,V1), pppp43-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #244: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp44-{F}(V0), pppp44-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #245: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp45-{F}(V0,V1), pppp45-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #246: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp45-{F}(V0,V1), pppp45-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #247: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp46-{F}(V0), pppp46-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #248: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp47-{F}(V0,V1), pppp47-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #249: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp47-{F}(V0,V1), pppp47-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #250: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp48-{F}(V0), pppp48-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #251: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp49-{F}(V0,V1,V2), pppp49-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #252: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp49-{F}(V0,V1,V2), pppp49-{F}(V0,V4,V5), V1 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #253: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V0 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #254: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp50-{F}(V0,V1), pppp50-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #255: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp50-{F}(V0,V1), pppp50-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #256: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp51-{F}(V0), pppp51-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #257: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp52-{F}(V0,V1), pppp52-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #258: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp52-{F}(V0,V1), pppp52-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #259: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp53-{F}(V0), pppp53-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #260: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp54-{F}(V0,V1), pppp54-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #261: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp54-{F}(V0,V1), pppp54-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #262: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp55-{F}(V0), pppp55-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #263: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp56-{F}(V0,V1), pppp56-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #264: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp56-{F}(V0,V1), pppp56-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #265: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp57-{F}(V0), pppp57-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #266: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp58-{F}(V0), pppp58-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #267: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp59-{F}(V0,V1), pppp59-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #268: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp59-{F}(V0,V1), pppp59-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #269: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp60-{F}(V0), pppp60-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #270: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp61-{F}(V0,V1,V2), pppp61-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #271: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp61-{F}(V0,V1,V2), pppp61-{F}(V0,V4,V5), V1 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #272: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp61-{F}(V0,V1,V2), pppp61-{F}(V3,V4,V5), V0 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #273: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp62-{F}(V0,V1), pppp62-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #274: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp62-{F}(V0,V1), pppp62-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #275: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp63-{F}(V0), pppp63-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #276: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp64-{F}(V0,V1,V2), pppp64-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #277: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp64-{F}(V0,V1,V2), pppp64-{F}(V0,V4,V5), V1 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #278: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp64-{F}(V0,V1,V2), pppp64-{F}(V3,V4,V5), V0 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #279: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp65-{F}(V0,V1), pppp65-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #280: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp65-{F}(V0,V1), pppp65-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #281: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp66-{F}(V0), pppp66-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #282: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp67-{F}(V0,V1), pppp67-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #283: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp67-{F}(V0,V1), pppp67-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #284: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp68-{F}(V0), pppp68-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #285: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp69-{F}(V0), pppp69-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #286: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp70-{F}(V0), pppp70-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #287: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp71-{F}(V0,V1), pppp71-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #288: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp71-{F}(V0,V1), pppp71-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #289: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp72-{F}(V0), pppp72-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #290: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp73-{F}(V0,V1), pppp73-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #291: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp73-{F}(V0,V1), pppp73-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #292: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp74-{F}(V0), pppp74-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #293: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp75-{F}(V0,V1,V2), pppp75-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #294: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp75-{F}(V0,V1,V2), pppp75-{F}(V0,V4,V5), V1 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #295: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp75-{F}(V0,V1,V2), pppp75-{F}(V3,V4,V5), V0 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #296: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp76-{F}(V0,V1), pppp76-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #297: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp76-{F}(V0,V1), pppp76-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #298: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp77-{F}(V0), pppp77-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #299: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp78-{F}(V0,V1,V2), pppp78-{F}(V0,V1,V5), V2 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #300: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp78-{F}(V0,V1,V2), pppp78-{F}(V0,V4,V5), V1 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #301: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp78-{F}(V0,V1,V2), pppp78-{F}(V3,V4,V5), V0 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #302: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp79-{F}(V0,V1), pppp79-{F}(V0,V3), V1 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #303: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp79-{F}(V0,V1), pppp79-{F}(V2,V3), V0 == V2 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #304: unsound, references = 3, size of lhs = 3:
% 195.56/195.81 pppp80-{F}(V0), pppp80-{F}(V1), V0 == V1 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 number of simplifiers = 95
% 195.56/195.81
% 195.56/195.81 Learnt:
% 195.56/195.81 #307: exists( #206, #192 ), references = 1, size of lhs = 4:
% 195.56/195.81 op_equiv-{F}(), P_implies-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_and-{F}(V2,V3,V4) | P_equiv-{T}(V0,V1,V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #309: exists( #208, #192 ), references = 21, size of lhs = 4:
% 195.56/195.81 op_equiv-{F}(), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V0,V4) | P_and-{T}(V3,V4,V2)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #311: exists( #207, #188 ), references = 25, size of lhs = 5:
% 195.56/195.81 op_or-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_and-{F}(V1,V4,V5) | P_not-{T}(V5,V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #313: exists( #205, #190 ), references = 24, size of lhs = 4:
% 195.56/195.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_and-{F}(V2,V1,V3), P_not-{F}(V3,V4) | P_implies-{T}(V2,V0,V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #315: exists( #209, #188 ), references = 5, size of lhs = 5:
% 195.56/195.81 op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_and-{F}(V1,V3,V4), P_not-{F}(V4,V5) | P_or-{T}(V0,V2,V5)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #319: exists( #207, #190 ), references = 28, size of lhs = 4:
% 195.56/195.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V3), P_and-{F}(V2,V1,V4) | P_not-{T}(V4,V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #322: exists( #208, #320 ), references = 1, size of lhs = 6:
% 195.56/195.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V4), P_implies-{F}(V3,V2,V5), V5 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #324: exists( #205, #321 ), references = 2, size of lhs = 4:
% 195.56/195.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V4) | P_implies-{T}(V3,V2,V4)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #336: exists( #206, #334 ), references = 1, size of lhs = 11:
% 195.56/195.81 op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V0,V2,V1), P_implies-{F}(V3,V4,V0), V3 == V4, P_implies-{F}(V4,V3,V1) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #342: exists( #206, #340 ), references = 10, size of lhs = 13:
% 195.56/195.81 op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_and-{F}(V0,V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V3), P_implies-{F}(V7,V8,V6), V7 == V8, P_implies-{F}(V8,V7,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #355: exists( #205, #353 ), references = 1, size of lhs = 15:
% 195.56/195.81 pppp16-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V5,V6,V4), V6 == V5, P_implies-{F}(V6,V5,V7), P_implies-{F}(V7,V3,V8), P_and-{F}(V0,V8,V9), P_and-{F}(V10,V2,V9), P_and-{F}(V1,V11,V10) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #374: exists( #205, #371 ), references = 1, size of lhs = 4:
% 195.56/195.81 pppp15-{F}(), pppp71-{F}(V0,V1), P_and-{F}(V1,V1,V2), P_or-{F}(V0,V1,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #414: exists( #208, #411 ), references = 2, size of lhs = 8:
% 195.56/195.81 op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V5,V4), P_implies-{F}(V1,V5,V6), V6 == V3 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #415: exists( #208, #410 ), references = 1, size of lhs = 8:
% 195.56/195.81 op_implies_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V4,V0,V5), P_or-{F}(V3,V2,V6), V6 == V5 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #418: exists( #205, #412 ), references = 20, size of lhs = 6:
% 195.56/195.81 op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V5,V4) | P_implies-{T}(V1,V5,V3)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #434: exists( #209, #414 ), references = 4, size of lhs = 6:
% 195.56/195.81 op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V1,V4,V5) | P_or-{T}(V0,V2,V5)
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #456: exists( #205, #454 ), references = 1, size of lhs = 7:
% 195.56/195.81 pppp15-{F}(), pppp30-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V2,V3,V4), P_and-{F}(V4,V4,V5), P_implies-{F}(V0,V1,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #469: exists( #205, #467 ), references = 1, size of lhs = 4:
% 195.56/195.81 pppp15-{F}(), pppp47-{F}(V0,V1), P_and-{F}(V1,V1,V2), P_or-{F}(V0,V1,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #517: exists( #208, #513 ), references = 1, size of lhs = 19:
% 195.56/195.81 pppp20-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_and-{F}(V4,V4,V5), P_not-{F}(V5,V6), P_and-{F}(V6,V4,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V8), P_and-{F}(V0,V10,V9), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V14,V15,V13), V14 == V15, P_implies-{F}(V15,V14,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #520: exists( #205, #518 ), references = 1, size of lhs = 19:
% 195.56/195.81 pppp20-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V4), P_and-{F}(V0,V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_and-{F}(V9,V9,V10), P_not-{F}(V10,V11), P_and-{F}(V11,V9,V4), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V5), P_implies-{F}(V15,V16,V14), V15 == V16, P_implies-{F}(V16,V15,V13) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #578: exists( #205, #572 ), references = 1, size of lhs = 7:
% 195.56/195.81 pppp9-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_or-{F}(V0,V1,V2), P_equiv-{F}(V3,V4,V2), V3 == V4 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #579: exists( #205, #573 ), references = 1, size of lhs = 15:
% 195.56/195.81 pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), V5 == V4, P_implies-{F}(V5,V4,V6), P_implies-{F}(V6,V2,V7), P_and-{F}(V1,V7,V8), P_not-{F}(V8,V9), P_or-{F}(V0,V10,V9) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #585: exists( #205, #583 ), references = 4, size of lhs = 19:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V4), P_and-{F}(V5,V4,V6), P_and-{F}(V1,V7,V6), P_not-{F}(V8,V7), P_and-{F}(V2,V9,V6), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V13,V14,V11), V14 == V13, P_implies-{F}(V14,V13,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #589: exists( #206, #587 ), references = 2, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #594: exists( #208, #585 ), references = 3, size of lhs = 16:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V3), P_implies-{F}(V8,V9,V6), V9 == V8, P_implies-{F}(V9,V8,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #598: exists( #206, #596 ), references = 2, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V5,V4,V6), P_implies-{F}(V6,V2,V7), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V7), P_implies-{F}(V11,V12,V9), V12 == V11, P_implies-{F}(V12,V11,V10) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #601: mergings( V5 == V8; #599 ), references = 5, size of lhs = 15:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V5,V4,V6), P_implies-{F}(V7,V8,V3), V8 == V7, P_implies-{F}(V8,V7,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #631: mergings( V4 == V6; #629 ), references = 3, size of lhs = 12:
% 195.56/195.81 op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V4,V0), P_equiv-{F}(V5,V6,V4), V5 == V6 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #657: mergings( V8 == V9; #655 ), references = 4, size of lhs = 22:
% 195.56/195.81 pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), is_a_theorem-{F}(V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V2), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V0), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V9), V14 == V13, P_implies-{F}(V14,V13,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #661: mergings( V6 == V8; #659 ), references = 1, size of lhs = 19:
% 195.56/195.81 pppp15-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_and-{F}(V4,V4,V3), V4 == V3, P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_implies-{F}(V3,V4,V7), P_not-{F}(V8,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #668: mergings( V5 == V7, V7 == V8; #665 ), references = 1, size of lhs = 18:
% 195.56/195.81 pppp16-{F}(), pppp15-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_and-{F}(V0,V0,V0), P_and-{F}(V1,V1,V0), V1 == V0, P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_and-{F}(V1,V3,V0), P_not-{F}(V4,V5), P_and-{F}(V5,V6,V0), P_not-{F}(V7,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #720: exists( #208, #717 ), references = 4, size of lhs = 23:
% 195.56/195.81 pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V0), P_not-{F}(V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V11), V16 == V15, P_implies-{F}(V16,V15,V14) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #724: mergings( V0 == V7; #722 ), references = 2, size of lhs = 24:
% 195.56/195.81 pppp5-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V12,V7), V12 == V11, P_implies-{F}(V12,V11,V10), P_implies-{F}(V13,V14,V4), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #732: exists( #205, #728 ), references = 1, size of lhs = 24:
% 195.56/195.81 pppp16-{F}(), pppp5-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_and-{F}(V1,V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V12,V7), V12 == V11, P_implies-{F}(V12,V11,V10), P_implies-{F}(V13,V14,V3), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #789: exists( #205, #785 ), references = 1, size of lhs = 4:
% 195.56/195.81 pppp9-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_or-{F}(V0,V3,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #790: exists( #205, #786 ), references = 1, size of lhs = 5:
% 195.56/195.81 pppp9-{F}(), pppp67-{F}(V0,V1), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_or-{F}(V0,V4,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #802: exists( #205, #800 ), references = 2, size of lhs = 10:
% 195.56/195.81 pppp9-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_or-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_equiv-{F}(V5,V6,V4), V5 == V6 | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #899: mergings( V7 == V8, V8 == V10; #896 ), references = 2, size of lhs = 23:
% 195.56/195.81 pppp16-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V4), P_and-{F}(V3,V8,V4), P_not-{F}(V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V10), V15 == V14, P_implies-{F}(V15,V14,V13) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #951: exists( #208, #945 ), references = 6, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_and-{F}(V0,V2,V3), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V2), P_implies-{F}(V7,V8,V2), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V2), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #952: exists( #208, #946 ), references = 4, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_and-{F}(V0,V2,V3), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V2), P_implies-{F}(V9,V10,V2), V10 == V9, P_implies-{F}(V10,V9,V0) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #953: exists( #208, #947 ), references = 1, size of lhs = 20:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_and-{F}(V0,V2,V3), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V2), P_implies-{F}(V9,V10,V2), P_implies-{F}(V10,V9,V1), P_implies-{F}(V11,V12,V2), V12 == V11, P_implies-{F}(V12,V11,V0) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #964: mergings( V3 == V7; #960 ), references = 2, size of lhs = 15:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_equiv-{F}(V3,V5,V2), V3 == V5, P_implies-{F}(V3,V5,V0), P_and-{F}(V3,V6,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #965: exists( #205, #958 ), references = 2, size of lhs = 17:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V6), P_equiv-{F}(V5,V7,V4), V5 == V7, P_implies-{F}(V5,V7,V0), P_and-{F}(V5,V8,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #967: mergings( V4 == V3; #962 ), references = 1, size of lhs = 16:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V5), P_equiv-{F}(V4,V6,V3), V4 == V6, P_implies-{F}(V4,V6,V0), P_and-{F}(V4,V7,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1023: exists( #208, #1021 ), references = 1, size of lhs = 20:
% 195.56/195.81 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V4), P_implies-{F}(V5,V3,V6), P_and-{F}(V1,V6,V7), P_and-{F}(V2,V8,V7), P_not-{F}(V9,V10), P_and-{F}(V11,V10,V7), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V8), P_implies-{F}(V15,V16,V13), V16 == V15, P_implies-{F}(V16,V15,V14) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1084: exists( #206, #1082 ), references = 1, size of lhs = 13:
% 195.56/195.81 op_equiv-{F}(), pppp9-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V4,V2), V4 == V3, P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V1,V6), P_not-{F}(V7,V6), P_or-{F}(V0,V8,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1170: mergings( V6 == V9, V10 == V7; #1165 ), references = 1, size of lhs = 21:
% 195.56/195.81 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V1), P_implies-{F}(V11,V12,V1), V12 == V11, P_implies-{F}(V12,V11,V0), P_and-{F}(V4,V13,V14), P_implies-{F}(V13,V14,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1173: mergings( V6 == V9, V10 == V7; #1166 ), references = 1, size of lhs = 23:
% 195.56/195.81 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V1), P_implies-{F}(V11,V12,V1), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V1), V15 == V14, P_implies-{F}(V15,V14,V13), P_and-{F}(V4,V16,V17), P_implies-{F}(V16,V17,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1176: mergings( V4 == V7, V5 == V8; #1167 ), references = 1, size of lhs = 19:
% 195.56/195.81 op_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V4), P_and-{F}(V0,V7,V5), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V7), P_implies-{F}(V11,V12,V9), V12 == V11, P_implies-{F}(V12,V11,V10), P_and-{F}(V2,V13,V14), P_implies-{F}(V13,V14,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1185: mergings( V3 == V6, V4 == V8; #1180 ), references = 1, size of lhs = 21:
% 195.56/195.81 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), V11 == V10, P_implies-{F}(V11,V10,V0), P_and-{F}(V0,V12,V13), P_implies-{F}(V12,V13,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1188: mergings( V3 == V6, V4 == V8; #1181 ), references = 1, size of lhs = 23:
% 195.56/195.81 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_and-{F}(V0,V15,V16), P_implies-{F}(V15,V16,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1191: mergings( V3 == V5, V6 == V8; #1182 ), references = 2, size of lhs = 19:
% 195.56/195.81 op_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_and-{F}(V0,V12,V13), P_implies-{F}(V12,V13,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1250: exists( #209, #1244 ), references = 2, size of lhs = 20:
% 195.56/195.81 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V5), P_or-{F}(V15,V16,V14), P_or-{F}(V16,V15,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1252: mergings( V8 == V7; #1248 ), references = 2, size of lhs = 16:
% 195.56/195.81 pppp23-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_and-{F}(V1,V3,V4), P_and-{F}(V5,V5,V4), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_equiv-{F}(V8,V9,V7), V8 == V9, P_or-{F}(V10,V11,V5), P_or-{F}(V11,V10,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1253: exists( #209, #1246 ), references = 2, size of lhs = 24:
% 195.56/195.81 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_not-{F}(V15,V16), P_and-{F}(V17,V16,V2), P_or-{F}(V18,V19,V17), P_or-{F}(V19,V18,V15) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1263: exists( #206, #1257 ), references = 1, size of lhs = 17:
% 195.56/195.81 op_equiv-{F}(), pppp23-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,V1), P_equiv-{F}(V7,V8,V4), V7 == V8, P_or-{F}(V9,V10,V1), P_or-{F}(V10,V9,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1264: exists( #206, #1258 ), references = 3, size of lhs = 19:
% 195.56/195.81 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_or-{F}(V12,V13,V0), P_or-{F}(V13,V12,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1265: exists( #206, #1259 ), references = 2, size of lhs = 23:
% 195.56/195.81 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_or-{F}(V15,V16,V0), P_or-{F}(V16,V15,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1269: exists( #205, #1260 ), references = 1, size of lhs = 17:
% 195.56/195.81 op_equiv-{F}(), pppp23-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,V1), P_equiv-{F}(V7,V8,V4), V7 == V8, P_or-{F}(V9,V10,V1), P_or-{F}(V10,V9,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1270: exists( #205, #1261 ), references = 2, size of lhs = 19:
% 195.56/195.81 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_or-{F}(V12,V13,V0), P_or-{F}(V13,V12,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1271: exists( #205, #1262 ), references = 2, size of lhs = 23:
% 195.56/195.81 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_or-{F}(V15,V16,V0), P_or-{F}(V16,V15,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1288: exists( #205, #1285 ), references = 1, size of lhs = 10:
% 195.56/195.81 pppp5-{F}(), pppp30-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V2,V3,V4), P_implies-{F}(V0,V1,V5), P_implies-{F}(V6,V7,V4), P_implies-{F}(V7,V8,V9), P_implies-{F}(V6,V8,V10), P_implies-{F}(V9,V10,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1332: exists( #205, #1326 ), references = 1, size of lhs = 17:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V1,V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V6), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1333: exists( #205, #1327 ), references = 1, size of lhs = 18:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V1,V4,V3), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V6), P_implies-{F}(V11,V12,V9), V12 == V11, P_implies-{F}(V12,V11,V10) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1334: exists( #205, #1328 ), references = 1, size of lhs = 20:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V1,V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V8,V7,V9), P_implies-{F}(V9,V5,V10), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V14,V15,V12), V15 == V14, P_implies-{F}(V15,V14,V13) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1383: mergings( V5 == V7; #1379 ), references = 1, size of lhs = 25:
% 195.56/195.81 pppp8-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_not-{F}(V4,V2), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V0), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V10), V15 == V14, P_implies-{F}(V15,V14,V13), P_and-{F}(V6,V16,V17), P_implies-{F}(V16,V17,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1385: mergings( V4 == V6; #1380 ), references = 1, size of lhs = 26:
% 195.56/195.81 pppp8-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V0), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V0), P_not-{F}(V11,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V14,V13,V15), P_implies-{F}(V16,V17,V12), V17 == V16, P_implies-{F}(V17,V16,V15), P_and-{F}(V5,V18,V19), P_implies-{F}(V18,V19,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1387: mergings( V3 == V5; #1381 ), references = 1, size of lhs = 26:
% 195.56/195.81 pppp8-{F}(), pppp16-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V8,V5), P_and-{F}(V4,V9,V5), P_not-{F}(V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V11), V16 == V15, P_implies-{F}(V16,V15,V14), P_and-{F}(V4,V17,V18), P_implies-{F}(V17,V18,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1459: mergings( V7 == V8, V8 == V10; #1456 ), references = 1, size of lhs = 24:
% 195.56/195.81 pppp13-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V4), P_not-{F}(V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V9), V14 == V13, P_implies-{F}(V14,V13,V12), P_equiv-{F}(V15,V16,V4), P_implies-{F}(V16,V15,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1487: exists( #209, #1481 ), references = 2, size of lhs = 22:
% 195.56/195.81 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V5), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1488: exists( #209, #1483 ), references = 2, size of lhs = 24:
% 195.56/195.81 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), V11 == V10, P_implies-{F}(V11,V10,V0), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V2), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1489: exists( #209, #1482 ), references = 2, size of lhs = 26:
% 195.56/195.81 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_not-{F}(V15,V16), P_and-{F}(V17,V16,V2), P_implies-{F}(V18,V19,V17), P_implies-{F}(V19,V20,V21), P_implies-{F}(V18,V20,V22), P_implies-{F}(V21,V22,V15) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1502: exists( #206, #1496 ), references = 2, size of lhs = 23:
% 195.56/195.81 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), V11 == V10, P_implies-{F}(V11,V10,V0), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1503: exists( #206, #1497 ), references = 2, size of lhs = 25:
% 195.56/195.81 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_implies-{F}(V15,V16,V0), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V4) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1504: exists( #206, #1498 ), references = 2, size of lhs = 21:
% 195.56/195.81 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1547: exists( #208, #1541 ), references = 1, size of lhs = 24:
% 195.56/195.81 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V7,V1), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V1), P_implies-{F}(V12,V13,V1), V13 == V12, P_implies-{F}(V13,V12,V0), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1548: exists( #208, #1542 ), references = 1, size of lhs = 26:
% 195.56/195.81 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V7,V1), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V1), P_implies-{F}(V12,V13,V1), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V1), V16 == V15, P_implies-{F}(V16,V15,V14), P_implies-{F}(V17,V18,V0), P_implies-{F}(V18,V19,V20), P_implies-{F}(V17,V19,V21), P_implies-{F}(V20,V21,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1549: exists( #208, #1543 ), references = 1, size of lhs = 22:
% 195.56/195.81 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V0), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V4,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V6), P_implies-{F}(V12,V13,V10), V13 == V12, P_implies-{F}(V13,V12,V11), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V8) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1556: exists( #205, #1550 ), references = 1, size of lhs = 20:
% 195.56/195.81 pppp16-{F}(), pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V0), V5 == V3, P_and-{F}(V3,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V0), P_implies-{F}(V3,V10,V11), P_implies-{F}(V5,V10,V12), P_implies-{F}(V11,V12,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1557: exists( #205, #1551 ), references = 1, size of lhs = 24:
% 195.56/195.81 pppp16-{F}(), pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V0), P_and-{F}(V3,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V0), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V0), V14 == V13, P_implies-{F}(V14,V13,V12), P_implies-{F}(V3,V15,V16), P_implies-{F}(V5,V15,V17), P_implies-{F}(V16,V17,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1558: exists( #205, #1552 ), references = 1, size of lhs = 20:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V0,V4,V3), P_and-{F}(V0,V5,V4), P_not-{F}(V6,V3), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V3), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_implies-{F}(V0,V12,V13), P_implies-{F}(V4,V12,V14), P_implies-{F}(V13,V14,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1651: exists( #209, #1645 ), references = 1, size of lhs = 19:
% 195.56/195.81 op_or-{F}(), pppp15-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_and-{F}(V7,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V7,V9,V5), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V6), P_implies-{F}(V13,V14,V12), V13 == V14, P_implies-{F}(V14,V13,V11) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1652: exists( #209, #1647 ), references = 1, size of lhs = 21:
% 195.56/195.81 pppp15-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_and-{F}(V7,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V7,V9,V2), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V1), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V0) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1653: exists( #209, #1646 ), references = 2, size of lhs = 23:
% 195.56/195.81 pppp15-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_and-{F}(V7,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V7,V9,V2), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V1), P_implies-{F}(V13,V14,V1), P_implies-{F}(V14,V13,V15), P_implies-{F}(V16,V17,V1), V17 == V16, P_implies-{F}(V17,V16,V15) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1693: exists( #208, #1687 ), references = 1, size of lhs = 20:
% 195.56/195.81 pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), V8 == V7, P_implies-{F}(V8,V7,V9), P_implies-{F}(V9,V5,V10), P_and-{F}(V0,V10,V11), P_not-{F}(V11,V12), P_and-{F}(V13,V3,V14), P_not-{F}(V14,V15), P_implies-{F}(V2,V13,V16), P_implies-{F}(V15,V4,V17), P_implies-{F}(V16,V17,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1694: exists( #208, #1688 ), references = 1, size of lhs = 22:
% 195.56/195.81 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), V5 == V7, P_equiv-{F}(V5,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V5,V10,V7), P_and-{F}(V11,V3,V12), P_not-{F}(V12,V13), P_implies-{F}(V2,V11,V14), P_implies-{F}(V13,V4,V15), P_implies-{F}(V14,V15,V9) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1695: exists( #208, #1689 ), references = 1, size of lhs = 24:
% 195.56/195.81 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V10), P_equiv-{F}(V9,V11,V8), V9 == V11, P_implies-{F}(V9,V11,V0), P_and-{F}(V9,V12,V11), P_and-{F}(V13,V3,V14), P_not-{F}(V14,V15), P_implies-{F}(V2,V13,V16), P_implies-{F}(V15,V4,V17), P_implies-{F}(V16,V17,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1705: exists( #209, #1699 ), references = 2, size of lhs = 24:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V10), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V6), P_implies-{F}(V14,V15,V12), V15 == V14, P_implies-{F}(V15,V14,V13), P_and-{F}(V16,V9,V17), P_not-{F}(V17,V18), P_implies-{F}(V8,V16,V19), P_implies-{F}(V18,V10,V20), P_not-{F}(V20,V21), P_and-{F}(V19,V21,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1706: exists( #209, #1700 ), references = 1, size of lhs = 25:
% 195.56/195.81 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_not-{F}(V10,V11), P_implies-{F}(V10,V12,V0), V10 == V12, P_equiv-{F}(V10,V12,V5), P_and-{F}(V10,V13,V12), P_and-{F}(V14,V8,V15), P_not-{F}(V15,V16), P_implies-{F}(V7,V14,V17), P_implies-{F}(V16,V9,V18), P_not-{F}(V18,V19), P_and-{F}(V17,V19,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1707: exists( #209, #1701 ), references = 1, size of lhs = 25:
% 195.56/195.81 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_not-{F}(V10,V11), P_equiv-{F}(V10,V12,V5), V10 == V12, P_implies-{F}(V10,V12,V0), P_and-{F}(V10,V13,V12), P_and-{F}(V14,V8,V15), P_not-{F}(V15,V16), P_implies-{F}(V7,V14,V17), P_implies-{F}(V16,V9,V18), P_not-{F}(V18,V19), P_and-{F}(V17,V19,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1768: mergings( V5 == V9, V7 == V8, V8 == V10; #1763 ), references = 1, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V5,V0), P_not-{F}(V6,V5), P_and-{F}(V5,V3,V7), P_implies-{F}(V8,V9,V3), V9 == V8, P_implies-{F}(V9,V8,V5), P_or-{F}(V10,V11,V0), P_or-{F}(V11,V10,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1772: mergings( V5 == V9, V7 == V8, V8 == V10; #1764 ), references = 1, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V5,V0), P_not-{F}(V6,V5), P_and-{F}(V5,V3,V7), P_implies-{F}(V8,V9,V3), V9 == V8, P_implies-{F}(V9,V8,V5), P_or-{F}(V10,V11,V0), P_or-{F}(V11,V10,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1820: mergings( V5 == V9, V7 == V8, V8 == V10; #1816 ), references = 1, size of lhs = 18:
% 195.56/195.81 op_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V5,V0), P_not-{F}(V6,V5), P_and-{F}(V5,V3,V7), P_implies-{F}(V8,V9,V3), V9 == V8, P_implies-{F}(V9,V8,V5), P_and-{F}(V0,V10,V11), P_implies-{F}(V10,V11,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1910: exists( #209, #1903 ), references = 2, size of lhs = 24:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V5), P_implies-{F}(V15,V16,V14), P_and-{F}(V16,V17,V18), P_not-{F}(V18,V19), P_and-{F}(V17,V15,V20), P_not-{F}(V20,V21), P_implies-{F}(V19,V21,V12) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1911: exists( #209, #1904 ), references = 1, size of lhs = 28:
% 195.56/195.81 pppp17-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_not-{F}(V15,V16), P_and-{F}(V17,V16,V2), P_implies-{F}(V18,V19,V17), P_and-{F}(V19,V20,V21), P_not-{F}(V21,V22), P_and-{F}(V20,V18,V23), P_not-{F}(V23,V24), P_implies-{F}(V22,V24,V15) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1915: mergings( V3 == V7, V7 == V6, V6 == V8; #1909 ), references = 1, size of lhs = 21:
% 195.56/195.81 pppp17-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_and-{F}(V1,V1,V4), P_not-{F}(V5,V1), P_equiv-{F}(V6,V7,V5), V6 == V7, P_not-{F}(V8,V9), P_and-{F}(V10,V9,V4), P_implies-{F}(V11,V12,V10), P_and-{F}(V12,V13,V14), P_not-{F}(V14,V15), P_and-{F}(V13,V11,V16), P_not-{F}(V16,V17), P_implies-{F}(V15,V17,V8) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1947: exists( #206, #1943 ), references = 1, size of lhs = 23:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V7,V11), P_and-{F}(V9,V10,V12), P_not-{F}(V12,V13), P_implies-{F}(V13,V11,V6), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V4), P_implies-{F}(V17,V18,V15), V18 == V17, P_implies-{F}(V18,V17,V16) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1954: mergings( V5 == V8, V10 == V11, V11 == V6; #1950 ), references = 2, size of lhs = 22:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V4,V3,V0), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_and-{F}(V3,V5,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V8,V12), P_and-{F}(V10,V11,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V12,V7), P_implies-{F}(V15,V16,V5), V16 == V15, P_implies-{F}(V16,V15,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #1995: exists( #208, #1990 ), references = 1, size of lhs = 23:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V0), P_not-{F}(V4,V5), P_implies-{F}(V6,V5,V0), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_and-{F}(V5,V7,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V0), P_implies-{F}(V13,V10,V14), P_and-{F}(V12,V13,V15), P_not-{F}(V15,V16), P_implies-{F}(V16,V14,V9), P_implies-{F}(V17,V18,V7), V18 == V17, P_implies-{F}(V18,V17,V5) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2000: mergings( V7 == V9; #1998 ), references = 1, size of lhs = 27:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V1), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V7), P_and-{F}(V7,V2,V9), P_implies-{F}(V10,V4,V11), P_and-{F}(V7,V10,V12), P_not-{F}(V12,V13), P_implies-{F}(V13,V11,V9), P_implies-{F}(V14,V15,V2), V15 == V14, P_implies-{F}(V15,V14,V7), P_implies-{F}(V16,V17,V1), P_and-{F}(V17,V18,V19), P_not-{F}(V19,V20), P_and-{F}(V18,V16,V21), P_not-{F}(V21,V22), P_implies-{F}(V20,V22,V7) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2094: mergings( V12 == V14; #2090 ), references = 1, size of lhs = 28:
% 195.56/195.81 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_implies-{F}(V9,V10,V0), P_not-{F}(V10,V11), P_and-{F}(V11,V9,V5), P_not-{F}(V12,V11), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V13,V1), P_not-{F}(V15,V16), P_implies-{F}(V17,V15,V1), P_implies-{F}(V18,V19,V1), P_implies-{F}(V19,V18,V20), P_implies-{F}(V21,V22,V1), V22 == V21, P_implies-{F}(V22,V21,V20) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2096: mergings( V12 == V14; #2091 ), references = 1, size of lhs = 28:
% 195.56/195.81 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_implies-{F}(V9,V10,V0), P_not-{F}(V10,V11), P_and-{F}(V11,V9,V5), P_not-{F}(V12,V11), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V13,V1), P_not-{F}(V15,V16), P_implies-{F}(V17,V15,V1), P_implies-{F}(V18,V19,V1), P_implies-{F}(V19,V18,V20), P_implies-{F}(V21,V22,V1), V22 == V21, P_implies-{F}(V22,V21,V20) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2098: mergings( V8 == V10; #2092 ), references = 1, size of lhs = 24:
% 195.56/195.81 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V6,V0), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_and-{F}(V7,V5,V9), P_not-{F}(V9,V10), P_not-{F}(V10,V11), P_not-{F}(V12,V11), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V13,V11), P_not-{F}(V15,V16), P_implies-{F}(V17,V15,V11), P_implies-{F}(V18,V19,V16), V19 == V18, P_implies-{F}(V19,V18,V17) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2170: exists( #206, #2168 ), references = 1, size of lhs = 23:
% 195.56/195.81 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_implies-{F}(V12,V13,V0), P_and-{F}(V13,V14,V15), P_not-{F}(V15,V16), P_and-{F}(V14,V12,V17), P_not-{F}(V17,V18), P_implies-{F}(V16,V18,V6) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2212: exists( #205, #2208 ), references = 1, size of lhs = 4:
% 195.56/195.81 pppp16-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_and-{F}(V2,V3,V0) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2365: exists( #209, #2360 ), references = 1, size of lhs = 27:
% 195.56/195.81 pppp16-{F}(), pppp15-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_and-{F}(V4,V4,V5), P_and-{F}(V4,V6,V0), P_not-{F}(V7,V8), P_and-{F}(V8,V9,V5), P_not-{F}(V10,V9), P_and-{F}(V11,V11,V12), P_not-{F}(V12,V13), P_and-{F}(V11,V13,V5), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V4), P_implies-{F}(V17,V18,V4), P_implies-{F}(V18,V17,V19), P_implies-{F}(V20,V21,V4), V21 == V20, P_implies-{F}(V21,V20,V19) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2366: exists( #209, #2359 ), references = 1, size of lhs = 20:
% 195.56/195.81 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_and-{F}(V3,V6,V0), P_not-{F}(V7,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V10,V9,V11), P_implies-{F}(V12,V13,V8), V13 == V12, P_implies-{F}(V13,V12,V11) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2367: exists( #209, #2361 ), references = 1, size of lhs = 27:
% 195.56/195.81 pppp16-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), is_a_theorem-{F}(V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V2), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V7), P_not-{F}(V11,V6), P_and-{F}(V7,V12,V0), P_not-{F}(V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V15,V17), P_implies-{F}(V18,V19,V14), V19 == V18, P_implies-{F}(V19,V18,V17) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2481: exists( #205, #2479 ), references = 1, size of lhs = 9:
% 195.56/195.81 pppp17-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V3,V4,V0), P_and-{F}(V4,V5,V6), P_not-{F}(V6,V7), P_and-{F}(V5,V3,V8), P_not-{F}(V8,V9), P_implies-{F}(V7,V9,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2527: exists( #205, #2525 ), references = 2, size of lhs = 5:
% 195.56/195.81 pppp16-{F}(), pppp52-{F}(V0,V1), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_and-{F}(V3,V4,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2531: exists( #205, #2529 ), references = 1, size of lhs = 7:
% 195.56/195.81 op_equiv-{F}(), pppp16-{F}(), pppp52-{F}(V0,V1), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_equiv-{F}(V4,V5,V2), P_implies-{F}(V4,V5,V3) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2533: exists( #206, #2530 ), references = 1, size of lhs = 4:
% 195.56/195.81 op_equiv-{F}(), pppp16-{F}(), pppp52-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2535: exists( #205, #2532 ), references = 1, size of lhs = 3:
% 195.56/195.81 op_equiv-{F}(), pppp16-{F}(), pppp52-{F}(V0,V1) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2537: exists( #94, #2534 ), references = 1, size of lhs = 3:
% 195.56/195.81 op_equiv-{F}(), pppp16-{F}(), pppp53-{F}(V0) | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2539: exists( #93, #2536 ), references = 1, size of lhs = 3:
% 195.56/195.81 pppp93-{F}(), op_equiv-{F}(), pppp16-{F}() | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2541: disj( #92, exists( #93, #2536 ) ), references = 1, size of lhs = 2:
% 195.56/195.81 op_equiv-{F}(), pppp16-{F}() | pppp12-{T}()
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 #2547: #195+#198+#116+#2540+#90+#204, references = 1, size of lhs = 0:
% 195.56/195.81 FALSE | FALSE
% 195.56/195.81 (used 0 times, uses = {})
% 195.56/195.81
% 195.56/195.81 number of learnt formulas = 117
% 195.56/195.81
% 195.56/195.81
% 195.56/195.81 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 195.56/195.81
% 195.56/195.81 randbase = 1
%------------------------------------------------------------------------------