%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 12:06:21 PM UTC 2026
% Result : Theorem 187.53s 187.81s
% Output : Refutation 187.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL484+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.36 % Computer : n004.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 09:43:29 UTC 2026
% 0.13/0.36 % CPUTime :
% 187.53/187.81 GeoParameters:
% 187.53/187.81
% 187.53/187.81 tptp_input = 1
% 187.53/187.81 tptp_output = 0
% 187.53/187.81 nonempty = 1
% 187.53/187.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.53/187.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 187.53/187.81
% 187.53/187.81
% 187.53/187.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.53/187.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.53/187.81
% 187.53/187.81 RuleSystem INPUT:
% 187.53/187.81
% 187.53/187.81 Initial Rules:
% 187.53/187.81 #0: input, references = 3, size of lhs = 1:
% 187.53/187.81 modus_ponens-{F}() | pppp0-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp0-{F}() | modus_ponens-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #2: input, references = 9, size of lhs = 4:
% 187.53/187.81 pppp0-{F}(), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2) | is_a_theorem-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #3: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp0-{T}(), pppp81-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #4: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp81-{F}() | EXISTS V0: pppp27-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #5: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp27-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #6: input, references = 3, size of lhs = 2:
% 187.53/187.81 pppp27-{F}(V0), is_a_theorem-{F}(V0) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #7: input, references = 3, size of lhs = 2:
% 187.53/187.81 pppp26-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #8: input, references = 3, size of lhs = 2:
% 187.53/187.81 pppp26-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #9: input, references = 3, size of lhs = 1:
% 187.53/187.81 substitution_of_equivalents-{F}() | pppp1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #10: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp1-{F}() | substitution_of_equivalents-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #11: input, references = 10, size of lhs = 4:
% 187.53/187.81 pppp1-{F}(), P_equiv-{F}(V0,V1,V2), is_a_theorem-{F}(V2), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #12: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp1-{T}(), pppp82-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #13: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp82-{F}() | EXISTS V0: pppp29-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #14: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp29-{F}(V0) | EXISTS V1: pppp28-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #15: input, references = 3, size of lhs = 2:
% 187.53/187.81 pppp28-{F}(V1,V1), P_equiv-{F}(V1,V1,V2) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #16: input, references = 3, size of lhs = 2:
% 187.53/187.81 pppp28-{F}(V0,V1), P_equiv-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #17: input, references = 3, size of lhs = 1:
% 187.53/187.81 modus_tollens-{F}() | pppp2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #18: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp2-{F}() | modus_tollens-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #19: input, references = 3, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #20: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp2-{T}(), pppp83-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #21: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp83-{F}() | EXISTS V0: pppp31-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #22: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp31-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #23: input, references = 6, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #24: input, references = 3, size of lhs = 1:
% 187.53/187.81 implies_1-{F}() | pppp3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #25: input, references = 4, size of lhs = 1:
% 187.53/187.81 pppp3-{F}() | implies_1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #26: input, references = 3, size of lhs = 3:
% 187.53/187.81 pppp3-{F}(), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #27: input, references = 4, size of lhs = 0:
% 187.53/187.81 FALSE | pppp3-{T}(), pppp84-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #28: input, references = 4, size of lhs = 1:
% 187.53/187.81 pppp84-{F}() | EXISTS V0: pppp33-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #29: input, references = 4, size of lhs = 1:
% 187.53/187.81 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #30: input, references = 4, size of lhs = 4:
% 187.53/187.81 pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #31: input, references = 3, size of lhs = 1:
% 187.53/187.81 implies_2-{F}() | pppp4-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #32: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp4-{F}() | implies_2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #33: input, references = 3, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #34: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp4-{T}(), pppp85-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #35: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp85-{F}() | EXISTS V0: pppp35-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #36: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp35-{F}(V0) | EXISTS V1: pppp34-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #37: input, references = 4, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #38: input, references = 3, size of lhs = 1:
% 187.53/187.81 implies_3-{F}() | pppp5-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #39: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp5-{F}() | implies_3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #40: input, references = 5, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #41: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp5-{T}(), pppp86-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #42: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp86-{F}() | EXISTS V0: pppp38-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #43: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp38-{F}(V0) | EXISTS V1: pppp37-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #44: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp37-{F}(V0,V1) | EXISTS V2: pppp36-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #45: input, references = 3, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #46: input, references = 3, size of lhs = 1:
% 187.53/187.81 and_1-{F}() | pppp6-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #47: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp6-{F}() | and_1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #48: input, references = 7, size of lhs = 3:
% 187.53/187.81 pppp6-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #49: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp6-{T}(), pppp87-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #50: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp87-{F}() | EXISTS V0: pppp40-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #51: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp40-{F}(V0) | EXISTS V1: pppp39-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #52: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp39-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #53: input, references = 3, size of lhs = 1:
% 187.53/187.81 and_2-{F}() | pppp7-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #54: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp7-{F}() | and_2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #55: input, references = 3, size of lhs = 3:
% 187.53/187.81 pppp7-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #56: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp7-{T}(), pppp88-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #57: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp88-{F}() | EXISTS V0: pppp42-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #58: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp42-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #59: input, references = 5, size of lhs = 4:
% 187.53/187.81 pppp41-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #60: input, references = 3, size of lhs = 1:
% 187.53/187.81 and_3-{F}() | pppp8-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #61: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp8-{F}() | and_3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #62: input, references = 6, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #63: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp8-{T}(), pppp89-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #64: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp89-{F}() | EXISTS V0: pppp44-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #65: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp44-{F}(V0) | EXISTS V1: pppp43-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #66: input, references = 3, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #67: input, references = 3, size of lhs = 1:
% 187.53/187.81 or_1-{F}() | pppp9-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #68: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp9-{F}() | or_1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #69: input, references = 8, size of lhs = 3:
% 187.53/187.81 pppp9-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #70: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp9-{T}(), pppp90-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #71: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp90-{F}() | EXISTS V0: pppp46-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #72: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp46-{F}(V0) | EXISTS V1: pppp45-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #73: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp45-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #74: input, references = 3, size of lhs = 1:
% 187.53/187.81 or_2-{F}() | pppp10-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #75: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp10-{F}() | or_2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #76: input, references = 3, size of lhs = 3:
% 187.53/187.81 pppp10-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #77: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp10-{T}(), pppp91-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #78: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp91-{F}() | EXISTS V0: pppp48-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #79: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp48-{F}(V0) | EXISTS V1: pppp47-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #80: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp47-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #81: input, references = 3, size of lhs = 1:
% 187.53/187.81 or_3-{F}() | pppp11-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #82: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp11-{F}() | or_3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #83: input, references = 3, size of lhs = 7:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #84: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp11-{T}(), pppp92-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #85: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp92-{F}() | EXISTS V0: pppp51-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #86: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp51-{F}(V0) | EXISTS V1: pppp50-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #87: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp50-{F}(V0,V1) | EXISTS V2: pppp49-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #88: input, references = 3, size of lhs = 8:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #89: input, references = 3, size of lhs = 1:
% 187.53/187.81 equivalence_1-{F}() | pppp12-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #90: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp12-{F}() | equivalence_1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #91: input, references = 3, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #92: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp12-{T}(), pppp93-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #93: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp93-{F}() | EXISTS V0: pppp53-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #94: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp53-{F}(V0) | EXISTS V1: pppp52-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #95: input, references = 3, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #96: input, references = 3, size of lhs = 1:
% 187.53/187.81 equivalence_2-{F}() | pppp13-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #97: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp13-{F}() | equivalence_2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #98: input, references = 4, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #99: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp13-{T}(), pppp94-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #100: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp94-{F}() | EXISTS V0: pppp55-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #101: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp55-{F}(V0) | EXISTS V1: pppp54-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #102: input, references = 3, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #103: input, references = 3, size of lhs = 1:
% 187.53/187.81 equivalence_3-{F}() | pppp14-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #104: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp14-{F}() | equivalence_3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #105: input, references = 3, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #106: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp14-{T}(), pppp95-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #107: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp95-{F}() | EXISTS V0: pppp57-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #108: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp57-{F}(V0) | EXISTS V1: pppp56-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #109: input, references = 3, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #110: input, references = 3, size of lhs = 1:
% 187.53/187.81 kn1-{F}() | pppp15-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #111: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp15-{F}() | kn1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #112: input, references = 3, size of lhs = 3:
% 187.53/187.81 pppp15-{F}(), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #113: input, references = 4, size of lhs = 0:
% 187.53/187.81 FALSE | pppp15-{T}(), pppp96-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #114: input, references = 4, size of lhs = 1:
% 187.53/187.81 pppp96-{F}() | EXISTS V0: pppp58-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #115: input, references = 10, size of lhs = 4:
% 187.53/187.81 pppp58-{F}(V0), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #116: input, references = 3, size of lhs = 1:
% 187.53/187.81 kn2-{F}() | pppp16-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #117: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp16-{F}() | kn2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #118: input, references = 3, size of lhs = 3:
% 187.53/187.81 pppp16-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #119: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp16-{T}(), pppp97-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #120: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp97-{F}() | EXISTS V0: pppp60-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #121: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp60-{F}(V0) | EXISTS V1: pppp59-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #122: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp59-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #123: input, references = 3, size of lhs = 1:
% 187.53/187.81 kn3-{F}() | pppp17-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #124: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp17-{F}() | kn3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #125: input, references = 4, size of lhs = 8:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #126: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp17-{T}(), pppp98-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #127: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp98-{F}() | EXISTS V0: pppp63-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #128: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp63-{F}(V0) | EXISTS V1: pppp62-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #129: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp62-{F}(V0,V1) | EXISTS V2: pppp61-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #130: input, references = 3, size of lhs = 9:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #131: input, references = 3, size of lhs = 1:
% 187.53/187.81 cn1-{F}() | pppp18-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #132: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp18-{F}() | cn1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #133: input, references = 3, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #134: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp18-{T}(), pppp99-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #135: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp99-{F}() | EXISTS V0: pppp66-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #136: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp66-{F}(V0) | EXISTS V1: pppp65-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #137: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp65-{F}(V0,V1) | EXISTS V2: pppp64-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #138: input, references = 3, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #139: input, references = 3, size of lhs = 1:
% 187.53/187.81 cn2-{F}() | pppp19-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #140: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp19-{F}() | cn2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #141: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp19-{F}(), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #142: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp19-{T}(), pppp100-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #143: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp100-{F}() | EXISTS V0: pppp68-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #144: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp68-{F}(V0) | EXISTS V1: pppp67-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #145: input, references = 5, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #146: input, references = 3, size of lhs = 1:
% 187.53/187.81 cn3-{F}() | pppp20-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #147: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp20-{F}() | cn3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #148: input, references = 4, size of lhs = 4:
% 187.53/187.81 pppp20-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #149: input, references = 4, size of lhs = 0:
% 187.53/187.81 FALSE | pppp20-{T}(), pppp101-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #150: input, references = 4, size of lhs = 1:
% 187.53/187.81 pppp101-{F}() | EXISTS V0: pppp69-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #151: input, references = 5, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #152: input, references = 3, size of lhs = 1:
% 187.53/187.81 r1-{F}() | pppp21-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #153: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp21-{F}() | r1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #154: input, references = 8, size of lhs = 3:
% 187.53/187.81 pppp21-{F}(), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | is_a_theorem-{T}(V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #155: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp21-{T}(), pppp102-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #156: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp102-{F}() | EXISTS V0: pppp70-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #157: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp70-{F}(V0), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #158: input, references = 4, size of lhs = 1:
% 187.53/187.81 r2-{F}() | pppp22-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #159: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp22-{F}() | r2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #160: input, references = 12, size of lhs = 3:
% 187.53/187.81 pppp22-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #161: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp22-{T}(), pppp103-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #162: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp103-{F}() | EXISTS V0: pppp72-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #163: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp72-{F}(V0) | EXISTS V1: pppp71-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #164: input, references = 3, size of lhs = 4:
% 187.53/187.81 pppp71-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #165: input, references = 3, size of lhs = 1:
% 187.53/187.81 r3-{F}() | pppp23-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #166: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp23-{F}() | r3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #167: input, references = 6, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #168: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp23-{T}(), pppp104-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #169: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp104-{F}() | EXISTS V0: pppp74-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #170: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp74-{F}(V0) | EXISTS V1: pppp73-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #171: input, references = 3, size of lhs = 5:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #172: input, references = 3, size of lhs = 1:
% 187.53/187.81 r4-{F}() | pppp24-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #173: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp24-{F}() | r4-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #174: input, references = 4, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #175: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp24-{T}(), pppp105-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #176: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp105-{F}() | EXISTS V0: pppp77-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #177: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp77-{F}(V0) | EXISTS V1: pppp76-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #178: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp76-{F}(V0,V1) | EXISTS V2: pppp75-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #179: input, references = 3, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #180: input, references = 3, size of lhs = 1:
% 187.53/187.81 r5-{F}() | pppp25-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #181: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp25-{F}() | r5-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #182: input, references = 8, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #183: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | pppp25-{T}(), pppp106-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #184: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp106-{F}() | EXISTS V0: pppp80-{T}(V0)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #185: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp80-{F}(V0) | EXISTS V1: pppp79-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #186: input, references = 3, size of lhs = 1:
% 187.53/187.81 pppp79-{F}(V0,V1) | EXISTS V2: pppp78-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #187: input, references = 3, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #188: input, references = 8, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #189: input, references = 10, size of lhs = 7:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #190: input, references = 9, size of lhs = 6:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #191: input, references = 5, size of lhs = 5:
% 187.53/187.81 op_implies_or-{F}(), P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #192: input, references = 5, size of lhs = 6:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #193: input, references = 4, size of lhs = 0:
% 187.53/187.81 FALSE | op_implies_or-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #194: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | op_and-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #195: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | op_equiv-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #196: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | modus_ponens-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #197: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | r1-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #198: input, references = 4, size of lhs = 0:
% 187.53/187.81 FALSE | r2-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #199: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | r3-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #200: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | r4-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #201: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | r5-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #202: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | substitution_of_equivalents-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #203: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | op_or-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #204: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | op_implies_and-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #205: input, references = 3, size of lhs = 0:
% 187.53/187.81 FALSE | op_equiv-{T}()
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #206: input, references = 4, size of lhs = 1:
% 187.53/187.81 implies_1-{F}() | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #207: input, references = 46, size of lhs = 2:
% 187.53/187.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #208: input, references = 21, size of lhs = 2:
% 187.53/187.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_equiv-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #209: input, references = 13, size of lhs = 1:
% 187.53/187.81 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #210: input, references = 43, size of lhs = 2:
% 187.53/187.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #211: input, references = 18, size of lhs = 2:
% 187.53/187.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 number of initial rules = 212
% 187.53/187.81
% 187.53/187.81 Simplifiers:
% 187.53/187.81 #212: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #213: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 P_equiv-{F}(V0,V1,V2), P_equiv-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #214: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #215: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #216: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #217: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #218: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #219: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #220: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #221: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp28-{F}(V0,V1), pppp28-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #222: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #223: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp30-{F}(V0,V1), pppp30-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #224: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp30-{F}(V0,V1), pppp30-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #225: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #226: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #227: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #228: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #229: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp34-{F}(V0,V1), pppp34-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #230: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp34-{F}(V0,V1), pppp34-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #231: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #232: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #233: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V4,V5), V1 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #234: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V0 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #235: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp37-{F}(V0,V1), pppp37-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #236: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp37-{F}(V0,V1), pppp37-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #237: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp38-{F}(V0), pppp38-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #238: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp39-{F}(V0,V1), pppp39-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #239: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp39-{F}(V0,V1), pppp39-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #240: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp40-{F}(V0), pppp40-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #241: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp41-{F}(V0,V1), pppp41-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #242: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp41-{F}(V0,V1), pppp41-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #243: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp42-{F}(V0), pppp42-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #244: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp43-{F}(V0,V1), pppp43-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #245: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp43-{F}(V0,V1), pppp43-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #246: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp44-{F}(V0), pppp44-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #247: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp45-{F}(V0,V1), pppp45-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #248: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp45-{F}(V0,V1), pppp45-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #249: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp46-{F}(V0), pppp46-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #250: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp47-{F}(V0,V1), pppp47-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #251: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp47-{F}(V0,V1), pppp47-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #252: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp48-{F}(V0), pppp48-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #253: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp49-{F}(V0,V1,V2), pppp49-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #254: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp49-{F}(V0,V1,V2), pppp49-{F}(V0,V4,V5), V1 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #255: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V0 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #256: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp50-{F}(V0,V1), pppp50-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #257: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp50-{F}(V0,V1), pppp50-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #258: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp51-{F}(V0), pppp51-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #259: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp52-{F}(V0,V1), pppp52-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #260: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp52-{F}(V0,V1), pppp52-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #261: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp53-{F}(V0), pppp53-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #262: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp54-{F}(V0,V1), pppp54-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #263: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp54-{F}(V0,V1), pppp54-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #264: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp55-{F}(V0), pppp55-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #265: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp56-{F}(V0,V1), pppp56-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #266: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp56-{F}(V0,V1), pppp56-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #267: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp57-{F}(V0), pppp57-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #268: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp58-{F}(V0), pppp58-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #269: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp59-{F}(V0,V1), pppp59-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #270: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp59-{F}(V0,V1), pppp59-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #271: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp60-{F}(V0), pppp60-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #272: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp61-{F}(V0,V1,V2), pppp61-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #273: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp61-{F}(V0,V1,V2), pppp61-{F}(V0,V4,V5), V1 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #274: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp61-{F}(V0,V1,V2), pppp61-{F}(V3,V4,V5), V0 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #275: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp62-{F}(V0,V1), pppp62-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #276: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp62-{F}(V0,V1), pppp62-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #277: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp63-{F}(V0), pppp63-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #278: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp64-{F}(V0,V1,V2), pppp64-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #279: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp64-{F}(V0,V1,V2), pppp64-{F}(V0,V4,V5), V1 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #280: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp64-{F}(V0,V1,V2), pppp64-{F}(V3,V4,V5), V0 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #281: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp65-{F}(V0,V1), pppp65-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #282: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp65-{F}(V0,V1), pppp65-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #283: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp66-{F}(V0), pppp66-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #284: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp67-{F}(V0,V1), pppp67-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #285: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp67-{F}(V0,V1), pppp67-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #286: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp68-{F}(V0), pppp68-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #287: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp69-{F}(V0), pppp69-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #288: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp70-{F}(V0), pppp70-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #289: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp71-{F}(V0,V1), pppp71-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #290: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp71-{F}(V0,V1), pppp71-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #291: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp72-{F}(V0), pppp72-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #292: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp73-{F}(V0,V1), pppp73-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #293: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp73-{F}(V0,V1), pppp73-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #294: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp74-{F}(V0), pppp74-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #295: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp75-{F}(V0,V1,V2), pppp75-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #296: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp75-{F}(V0,V1,V2), pppp75-{F}(V0,V4,V5), V1 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #297: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp75-{F}(V0,V1,V2), pppp75-{F}(V3,V4,V5), V0 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #298: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp76-{F}(V0,V1), pppp76-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #299: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp76-{F}(V0,V1), pppp76-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #300: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp77-{F}(V0), pppp77-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #301: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp78-{F}(V0,V1,V2), pppp78-{F}(V0,V1,V5), V2 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #302: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp78-{F}(V0,V1,V2), pppp78-{F}(V0,V4,V5), V1 == V4 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #303: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp78-{F}(V0,V1,V2), pppp78-{F}(V3,V4,V5), V0 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #304: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp79-{F}(V0,V1), pppp79-{F}(V0,V3), V1 == V3 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #305: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp79-{F}(V0,V1), pppp79-{F}(V2,V3), V0 == V2 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #306: unsound, references = 3, size of lhs = 3:
% 187.53/187.81 pppp80-{F}(V0), pppp80-{F}(V1), V0 == V1 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 number of simplifiers = 95
% 187.53/187.81
% 187.53/187.81 Learnt:
% 187.53/187.81 #308: exists( #210, #192 ), references = 21, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #310: exists( #211, #191 ), references = 35, size of lhs = 3:
% 187.53/187.81 op_implies_or-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V0,V2,V3) | P_or-{T}(V1,V2,V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #314: exists( #207, #191 ), references = 22, size of lhs = 3:
% 187.53/187.81 op_implies_or-{F}(), P_not-{F}(V0,V1), P_or-{F}(V1,V2,V3) | P_implies-{T}(V0,V2,V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #317: exists( #208, #315 ), references = 2, size of lhs = 8:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V6,V7) | P_equiv-{T}(V2,V3,V7)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #324: exists( #209, #189 ), references = 35, size of lhs = 5:
% 187.53/187.81 op_and-{F}(), P_not-{F}(V0,V1), P_and-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_or-{F}(V1,V4,V5) | P_not-{T}(V5,V3)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #325: exists( #209, #188 ), references = 3, size of lhs = 5:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #326: exists( #209, #190 ), references = 45, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #333: exists( #207, #331 ), references = 1, size of lhs = 15:
% 187.53/187.81 op_implies_or-{F}(), pppp22-{F}(), pppp0-{F}(), op_equiv-{F}(), op_and-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_implies-{F}(V4,V0,V3), V4 == V0, P_and-{F}(V2,V5,V4), P_not-{F}(V5,V4), P_or-{F}(V6,V0,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #344: exists( #208, #340 ), references = 2, size of lhs = 11:
% 187.53/187.81 op_equiv-{F}(), op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_or-{F}(V0,V5,V6), P_not-{F}(V7,V4), P_implies-{F}(V1,V7,V8), V8 == V6 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #345: exists( #208, #341 ), references = 1, size of lhs = 11:
% 187.53/187.81 op_equiv-{F}(), op_implies_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V4,V1), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V0,V6), P_not-{F}(V7,V5), P_or-{F}(V7,V2,V8), V8 == V6 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #348: exists( #207, #342 ), references = 3, size of lhs = 9:
% 187.53/187.81 op_equiv-{F}(), op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_or-{F}(V0,V5,V6), P_not-{F}(V7,V4) | P_implies-{T}(V1,V7,V6)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #349: exists( #207, #343 ), references = 1, size of lhs = 9:
% 187.53/187.81 op_equiv-{F}(), op_implies_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V4,V1), P_implies-{F}(V4,V3,V5), P_not-{F}(V6,V5), P_or-{F}(V6,V2,V7) | P_implies-{T}(V5,V0,V7)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #367: exists( #208, #365 ), references = 1, size of lhs = 14:
% 187.53/187.81 op_equiv-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp58-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_or-{F}(V1,V3,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V0), P_implies-{F}(V0,V5,V4), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V6,V0), P_implies-{F}(V8,V9,V0), P_implies-{F}(V9,V8,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #376: exists( #210, #373 ), references = 4, size of lhs = 8:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #377: exists( #210, #372 ), references = 3, size of lhs = 8:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #380: exists( #207, #374 ), references = 17, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #383: exists( #207, #381 ), references = 2, size of lhs = 4:
% 187.53/187.81 pppp22-{F}(), pppp58-{F}(V0), P_and-{F}(V0,V0,V1), P_or-{F}(V2,V0,V1) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #385: exists( #207, #190 ), references = 28, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #395: exists( #208, #393 ), references = 8, size of lhs = 13:
% 187.53/187.81 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #402: exists( #208, #400 ), references = 1, size of lhs = 16:
% 187.53/187.81 op_implies_or-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_implies-{F}(V0,V2,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V4,V3), P_or-{F}(V1,V6,V7), P_and-{F}(V6,V1,V8), P_not-{F}(V8,V9), P_not-{F}(V10,V9), P_implies-{F}(V7,V10,V3) | P_equiv-{T}(V4,V5,V6)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #417: exists( #208, #415 ), references = 2, size of lhs = 23:
% 187.53/187.81 op_implies_or-{F}(), op_or-{F}(), 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,V4,V2), P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V1,V6), P_and-{F}(V6,V6,V7), P_not-{F}(V7,V8), P_not-{F}(V6,V9), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_and-{F}(V0,V11,V10), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V11), P_implies-{F}(V15,V16,V14), V15 == V16, P_implies-{F}(V16,V15,V13) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #424: exists( #207, #422 ), references = 1, size of lhs = 24:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), op_or-{F}(), pppp20-{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,V2), P_and-{F}(V3,V4,V2), P_not-{F}(V4,V5), P_not-{F}(V6,V2), P_not-{F}(V7,V5), P_or-{F}(V7,V6,V8), P_not-{F}(V9,V8), P_or-{F}(V2,V9,V10), P_and-{F}(V10,V10,V11), P_not-{F}(V11,V12), P_not-{F}(V10,V13), P_not-{F}(V13,V12), P_and-{F}(V0,V10,V14), P_not-{F}(V14,V12) | P_implies-{T}(V1,V5,V5)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #429: mergings( V4 == V12; #427 ), references = 1, size of lhs = 24:
% 187.53/187.81 op_or-{F}(), pppp20-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_and-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V1,V3,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V2), P_not-{F}(V6,V4), P_or-{F}(V6,V5,V7), P_not-{F}(V8,V7), P_or-{F}(V2,V8,V9), P_and-{F}(V9,V9,V4), P_not-{F}(V9,V4), P_and-{F}(V0,V9,V4), P_not-{F}(V10,V2), P_not-{F}(V11,V2), P_not-{F}(V12,V4), P_and-{F}(V11,V12,V13) | P_not-{T}(V4,V13)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #441: exists( #207, #439 ), references = 1, size of lhs = 9:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), pppp21-{F}(), pppp58-{F}(V0), P_and-{F}(V0,V0,V1), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V2,V3,V1), P_not-{F}(V3,V1) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #443: exists( #210, #189 ), references = 10, size of lhs = 5:
% 187.53/187.81 op_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), P_not-{F}(V4,V5) | P_and-{T}(V0,V2,V5)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #453: exists( #208, #192 ), references = 2, size of lhs = 4:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #462: exists( #207, #460 ), references = 2, size of lhs = 20:
% 187.53/187.81 pppp25-{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,V5), P_implies-{F}(V9,V10,V7), V10 == V9, P_implies-{F}(V10,V9,V8), P_not-{F}(V11,V12), P_and-{F}(V13,V12,V4), P_implies-{F}(V14,V15,V13), P_or-{F}(V16,V14,V17), P_or-{F}(V16,V15,V18), P_implies-{F}(V17,V18,V11) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #521: exists( #207, #517 ), references = 3, size of lhs = 4:
% 187.53/187.81 pppp6-{F}(), pppp58-{F}(V0), P_and-{F}(V0,V0,V1), P_and-{F}(V1,V2,V0) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #558: exists( #210, #556 ), references = 1, size of lhs = 12:
% 187.53/187.81 op_and-{F}(), op_implies_and-{F}(), pppp22-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), pppp67-{F}(V5,V6), P_not-{F}(V5,V7), P_implies-{F}(V7,V6,V8), P_not-{F}(V8,V9), P_and-{F}(V5,V9,V4), P_or-{F}(V10,V5,V8) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #590: exists( #211, #588 ), references = 4, size of lhs = 9:
% 187.53/187.81 op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_and-{F}(V2,V3,V0), P_equiv-{F}(V4,V5,V2), V4 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #664: exists( #207, #660 ), references = 1, size of lhs = 5:
% 187.53/187.81 pppp22-{F}(), pppp67-{F}(V0,V1), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_or-{F}(V4,V0,V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #713: exists( #208, #711 ), references = 1, size of lhs = 15:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V2,V3,V0), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,V4), P_and-{F}(V7,V8,V0), P_equiv-{F}(V9,V10,V7), V9 == V10 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #715: exists( #211, #712 ), references = 1, size of lhs = 15:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_or-{F}(V2,V3,V0), P_not-{F}(V4,V3), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,V4), P_and-{F}(V7,V8,V0), P_equiv-{F}(V9,V10,V7), V9 == V10 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #727: exists( #208, #725 ), references = 1, size of lhs = 17:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp25-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V0), V2 == V3, P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_implies-{F}(V10,V11,V9), P_or-{F}(V12,V10,V13), P_or-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V7) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #729: exists( #211, #726 ), references = 1, size of lhs = 17:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp25-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V0), V2 == V3, P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_implies-{F}(V10,V11,V9), P_or-{F}(V12,V10,V13), P_or-{F}(V12,V11,V14), P_implies-{F}(V13,V14,V7) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #766: exists( #210, #764 ), references = 1, size of lhs = 20:
% 187.53/187.81 op_and-{F}(), op_implies_and-{F}(), pppp25-{F}(), op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V3,V0,V4), P_not-{F}(V3,V5), P_or-{F}(V5,V2,V6), P_equiv-{F}(V7,V8,V3), V7 == V8, P_not-{F}(V9,V10), P_and-{F}(V11,V10,V6), P_implies-{F}(V12,V13,V11), P_or-{F}(V14,V12,V15), P_or-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V9) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #822: exists( #208, #818 ), references = 2, size of lhs = 15:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp23-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V0), V2 == V3, P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_or-{F}(V10,V11,V7), P_or-{F}(V11,V10,V9) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #823: exists( #208, #819 ), references = 1, size of lhs = 22:
% 187.53/187.81 op_and-{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_implies-{F}(V3,V4,V2), V4 == V3, P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V1,V6), P_and-{F}(V0,V6,V7), P_not-{F}(V8,V9), P_or-{F}(V9,V10,V7), P_not-{F}(V11,V10), P_implies-{F}(V12,V13,V8), P_implies-{F}(V13,V12,V11), P_not-{F}(V14,V15), P_and-{F}(V16,V15,V7), P_or-{F}(V17,V18,V16), P_or-{F}(V18,V17,V14) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #842: exists( #208, #840 ), references = 1, size of lhs = 19:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp17-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V0), V2 == V3, P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_implies-{F}(V10,V11,V9), P_and-{F}(V11,V12,V13), P_not-{F}(V13,V14), P_and-{F}(V12,V10,V15), P_not-{F}(V15,V16), P_implies-{F}(V14,V16,V7) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #844: exists( #211, #841 ), references = 1, size of lhs = 19:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp17-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V3,V0), V2 == V3, P_implies-{F}(V3,V2,V4), P_not-{F}(V4,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_implies-{F}(V10,V11,V9), P_and-{F}(V11,V12,V13), P_not-{F}(V13,V14), P_and-{F}(V12,V10,V15), P_not-{F}(V15,V16), P_implies-{F}(V14,V16,V7) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #889: exists( #207, #884 ), references = 1, size of lhs = 8:
% 187.53/187.81 pppp8-{F}(), pppp0-{F}(), is_a_theorem-{F}(V0), pppp58-{F}(V1), P_and-{F}(V1,V1,V2), P_implies-{F}(V1,V2,V3), P_and-{F}(V0,V4,V5), P_implies-{F}(V4,V5,V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #890: exists( #207, #883 ), references = 3, size of lhs = 8:
% 187.53/187.81 pppp8-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_and-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), P_equiv-{F}(V4,V5,V3), V4 == V5 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #891: exists( #207, #885 ), references = 4, size of lhs = 16:
% 187.53/187.81 pppp8-{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_and-{F}(V0,V10,V11), P_implies-{F}(V10,V11,V9) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #897: exists( #207, #887 ), references = 1, size of lhs = 6:
% 187.53/187.81 pppp8-{F}(), pppp0-{F}(), is_a_theorem-{F}(V0), pppp58-{F}(V1), P_and-{F}(V1,V1,V2), P_and-{F}(V0,V1,V2) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #899: exists( #210, #896 ), references = 1, size of lhs = 4:
% 187.53/187.81 pppp8-{F}(), pppp0-{F}(), is_a_theorem-{F}(V0), pppp58-{F}(V0) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #924: exists( #211, #922 ), references = 4, size of lhs = 18:
% 187.53/187.81 op_implies_or-{F}(), pppp8-{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_and-{F}(V0,V2,V4), P_not-{F}(V4,V5), P_and-{F}(V2,V5,V6), P_and-{F}(V1,V7,V6), 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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #927: exists( #208, #925 ), references = 1, size of lhs = 18:
% 187.53/187.81 op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,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
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #961: exists( #207, #958 ), references = 2, size of lhs = 11:
% 187.53/187.81 op_implies_and-{F}(), op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V4,V5,V0), P_equiv-{F}(V6,V7,V4), V6 == V7 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #973: mergings( V5 == V6; #970 ), references = 2, size of lhs = 21:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V4), P_implies-{F}(V13,V14,V11), V14 == V13, P_implies-{F}(V14,V13,V12) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #974: exists( #207, #969 ), references = 1, size of lhs = 25:
% 187.53/187.81 op_implies_or-{F}(), op_and-{F}(), pppp8-{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}(V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_and-{F}(V3,V8,V9), P_and-{F}(V5,V6,V10), P_or-{F}(V2,V11,V9), P_not-{F}(V12,V11), P_not-{F}(V13,V14), P_implies-{F}(V15,V13,V12), P_implies-{F}(V16,V17,V14), V17 == V16, P_implies-{F}(V17,V16,V15), P_and-{F}(V0,V18,V19), P_implies-{F}(V18,V19,V10) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #978: mergings( V5 == V6; #975 ), references = 2, size of lhs = 21:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V6), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V4), P_implies-{F}(V13,V14,V11), V14 == V13, P_implies-{F}(V14,V13,V12) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #979: exists( #210, #971 ), references = 1, size of lhs = 25:
% 187.53/187.81 op_implies_or-{F}(), op_and-{F}(), pppp8-{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}(V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_and-{F}(V3,V8,V9), P_and-{F}(V5,V6,V10), P_or-{F}(V2,V11,V9), P_not-{F}(V12,V11), P_not-{F}(V13,V14), P_implies-{F}(V15,V13,V12), P_implies-{F}(V16,V17,V14), V17 == V16, P_implies-{F}(V17,V16,V15), P_and-{F}(V0,V18,V19), P_implies-{F}(V18,V19,V10) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #986: exists( #211, #980 ), references = 1, size of lhs = 23:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V7,V9,V10), P_not-{F}(V9,V11), P_and-{F}(V12,V10,V6), P_not-{F}(V13,V14), P_implies-{F}(V15,V13,V4), P_implies-{F}(V16,V17,V14), V17 == V16, P_implies-{F}(V17,V16,V15) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #987: exists( #211, #981 ), references = 1, size of lhs = 23:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_or-{F}(V2,V5,V6), P_not-{F}(V7,V8), P_and-{F}(V7,V9,V10), P_not-{F}(V9,V11), P_and-{F}(V12,V10,V6), P_not-{F}(V13,V14), P_implies-{F}(V15,V13,V4), P_implies-{F}(V16,V17,V14), V17 == V16, P_implies-{F}(V17,V16,V15) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1018: exists( #207, #1014 ), references = 1, size of lhs = 5:
% 187.53/187.81 pppp13-{F}(), pppp41-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_equiv-{F}(V3,V4,V2), P_implies-{F}(V4,V3,V1) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1073: exists( #211, #1069 ), references = 1, size of lhs = 10:
% 187.53/187.81 op_implies_or-{F}(), pppp24-{F}(), pppp34-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), P_not-{F}(V3,V4), P_or-{F}(V5,V6,V3), P_or-{F}(V7,V8,V6), P_or-{F}(V5,V8,V9), P_or-{F}(V7,V9,V2) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1087: exists( #211, #1085 ), references = 1, size of lhs = 19:
% 187.53/187.81 op_implies_or-{F}(), pppp22-{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}(V1,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,V14,V12) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1149: exists( #210, #924 ), references = 1, size of lhs = 16:
% 187.53/187.81 op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V4), P_implies-{F}(V8,V9,V6), V9 == V8, P_implies-{F}(V9,V8,V7) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1154: mergings( V9 == V10; #1152 ), references = 3, size of lhs = 17:
% 187.53/187.81 op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V4,V5), P_and-{F}(V6,V5,V3), P_not-{F}(V7,V8), P_and-{F}(V9,V8,V3), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1158: exists( #208, #1156 ), references = 5, size of lhs = 16:
% 187.53/187.81 op_implies_or-{F}(), pppp8-{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}(V1,V2), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_implies-{F}(V7,V8,V1), V8 == V7, P_implies-{F}(V8,V7,V0) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1162: exists( #211, #376 ), references = 5, size of lhs = 6:
% 187.53/187.81 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)
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1168: exists( #210, #1164 ), references = 5, size of lhs = 16:
% 187.53/187.81 op_implies_or-{F}(), pppp8-{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}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V5,V3,V1), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V6,V1), P_implies-{F}(V8,V9,V1), V9 == V8, P_implies-{F}(V9,V8,V0) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1187: exists( #207, #1185 ), references = 1, size of lhs = 20:
% 187.53/187.81 op_and-{F}(), op_or-{F}(), pppp21-{F}(), op_implies_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), V2 == V1, P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V2), P_and-{F}(V3,V4,V2), P_not-{F}(V4,V2), P_not-{F}(V5,V2), P_or-{F}(V6,V5,V0), P_not-{F}(V6,V2), P_not-{F}(V2,V7) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1189: exists( #209, #1186 ), references = 1, size of lhs = 19:
% 187.53/187.81 op_and-{F}(), op_or-{F}(), pppp21-{F}(), op_implies_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), V2 == V1, P_implies-{F}(V2,V1,V0), P_not-{F}(V3,V2), P_and-{F}(V3,V4,V2), P_not-{F}(V4,V2), P_not-{F}(V5,V2), P_or-{F}(V6,V5,V0), P_not-{F}(V6,V2) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1194: mergings( V3 == V6; #1192 ), references = 1, size of lhs = 18:
% 187.53/187.81 pppp9-{F}(), op_and-{F}(), op_or-{F}(), pppp21-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_and-{F}(V0,V2,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V1), V1 == V5, P_or-{F}(V1,V6,V5) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1203: mergings( V3 == V4, V4 == V7; #1200 ), references = 3, size of lhs = 9:
% 187.53/187.81 op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_or-{F}(V1,V1,V2), P_and-{F}(V3,V1,V2), P_not-{F}(V3,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1279: exists( #210, #1274 ), references = 1, size of lhs = 12:
% 187.53/187.81 op_equiv-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp58-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_or-{F}(V1,V3,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V0), P_implies-{F}(V0,V5,V4), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V6,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1285: mergings( V3 == V0, V6 == V8; #1282 ), references = 1, size of lhs = 13:
% 187.53/187.81 pppp21-{F}(), op_equiv-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp58-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_or-{F}(V5,V5,V0), P_implies-{F}(V6,V7,V0), P_implies-{F}(V7,V6,V3) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1305: exists( #210, #1303 ), references = 1, size of lhs = 12:
% 187.53/187.81 op_implies_and-{F}(), op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_and-{F}(V5,V4,V0), P_and-{F}(V6,V7,V0), P_equiv-{F}(V8,V9,V6), V8 == V9 | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1311: exists( #208, #1309 ), references = 1, size of lhs = 20:
% 187.53/187.81 op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), op_implies_or-{F}(), pppp6-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_or-{F}(V2,V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V5,V3,V2), P_implies-{F}(V6,V7,V5), P_implies-{F}(V7,V6,V4), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V11), P_and-{F}(V12,V11,V0), P_implies-{F}(V13,V14,V5), V13 == V14, P_implies-{F}(V14,V13,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1336: exists( #210, #1332 ), references = 1, size of lhs = 9:
% 187.53/187.81 op_or-{F}(), op_implies_and-{F}(), pppp58-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_or-{F}(V1,V3,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V0), P_implies-{F}(V0,V5,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1344: mergings( V3 == V0, V6 == V8; #1341 ), references = 1, size of lhs = 13:
% 187.53/187.81 op_implies_or-{F}(), pppp21-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp58-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V0,V6), P_or-{F}(V5,V5,V7), P_not-{F}(V7,V6) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1349: mergings( V3 == V5; #1347 ), references = 1, size of lhs = 15:
% 187.53/187.81 op_and-{F}(), op_implies_or-{F}(), pppp21-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp58-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_implies-{F}(V0,V2,V3), P_not-{F}(V0,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_and-{F}(V6,V7,V3), P_not-{F}(V7,V4) | FALSE
% 187.53/187.81 (used 0 times, uses = {})
% 187.53/187.81
% 187.53/187.81 #1385: exists( #210, #1383 ), references = 1, size of lhs = 16:
% 187.53/187.81 op_implies_or-{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_and-{F}(V0,V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V7), P_and-{F}(V8,V7,V9), P_not-{F}(V9,V10), P_or-{F}(V7,V8,V11), P_implies-{F}(V11,V12,V3), P_not-{F}(V12,V10) | P_and-{T}(V6,V5,V8)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1408: mergings( V8 == V10; #1405 ), references = 2, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), op_implies_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_or-{F}(V3,V4,V0), P_not-{F}(V5,V4), P_implies-{F}(V6,V7,V0), V7 == V6, P_not-{F}(V6,V8), P_and-{F}(V7,V8,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1409: exists( #210, #1403 ), references = 2, size of lhs = 19:
% 187.53/187.82 op_and-{F}(), op_implies_or-{F}(), pppp8-{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,V0), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V1), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_and-{F}(V11,V10,V4), V11 == V9, P_implies-{F}(V9,V11,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1416: exists( #210, #1412 ), references = 1, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), op_implies_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_implies-{F}(V4,V2,V5), P_or-{F}(V5,V6,V0), P_and-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_or-{F}(V8,V9,V0), P_not-{F}(V10,V9) | P_and-{T}(V4,V3,V6)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1417: exists( #210, #1413 ), references = 1, size of lhs = 19:
% 187.53/187.82 op_and-{F}(), op_implies_or-{F}(), pppp8-{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,V0), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V8), P_or-{F}(V8,V9,V1), P_and-{F}(V9,V8,V4), P_not-{F}(V10,V11), P_or-{F}(V11,V12,V1), P_not-{F}(V13,V12) | P_and-{T}(V7,V6,V9)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1453: exists( #210, #1451 ), references = 1, size of lhs = 15:
% 187.53/187.82 op_implies_and-{F}(), op_and-{F}(), op_implies_or-{F}(), pppp8-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V5), P_or-{F}(V1,V5,V6), P_not-{F}(V6,V7), P_or-{F}(V5,V7,V8), P_equiv-{F}(V9,V10,V8), V9 == V10 | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1496: exists( #207, #1494 ), references = 2, size of lhs = 14:
% 187.53/187.82 pppp6-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V0), P_not-{F}(V3,V0), P_implies-{F}(V4,V5,V0), V5 == V4, P_and-{F}(V4,V6,V5) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1547: exists( #210, #1542 ), references = 1, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), op_implies_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_implies-{F}(V3,V1,V0), P_implies-{F}(V4,V3,V0), V3 == V4, P_not-{F}(V4,V2), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V0), P_not-{F}(V8,V7) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1548: exists( #210, #1543 ), references = 1, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), op_implies_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_implies-{F}(V3,V1,V0), P_not-{F}(V4,V2), V3 == V4, P_implies-{F}(V4,V3,V0), P_not-{F}(V5,V6), P_or-{F}(V6,V7,V0), P_not-{F}(V8,V7) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1629: exists( #207, #1624 ), references = 3, size of lhs = 14:
% 187.53/187.82 pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V0), P_implies-{F}(V5,V6,V0), V6 == V5, P_or-{F}(V6,V7,V5) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1652: exists( #210, #1646 ), references = 1, size of lhs = 11:
% 187.53/187.82 op_implies_and-{F}(), pppp8-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V0,V1,V3), P_and-{F}(V2,V3,V4), P_not-{F}(V4,V5), P_equiv-{F}(V6,V7,V5), V6 == V7 | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1672: exists( #210, #1668 ), references = 1, size of lhs = 17:
% 187.53/187.82 op_implies_or-{F}(), pppp8-{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}(V0,V2,V4), P_or-{F}(V4,V3,V5), P_and-{F}(V3,V4,V6), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_implies-{F}(V5,V8,V9), P_and-{F}(V1,V9,V10), P_not-{F}(V10,V7) | P_and-{T}(V0,V3,V3)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1673: exists( #210, #1669 ), references = 1, size of lhs = 18:
% 187.53/187.82 op_implies_or-{F}(), pppp8-{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}(V0,V2,V4), P_not-{F}(V3,V5), P_and-{F}(V3,V4,V6), P_and-{F}(V1,V7,V6), P_or-{F}(V4,V8,V9), P_and-{F}(V8,V4,V10), P_not-{F}(V10,V11), P_not-{F}(V12,V11), P_implies-{F}(V9,V12,V7) | P_and-{T}(V0,V3,V8)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1701: exists( #210, #1698 ), references = 2, size of lhs = 19:
% 187.53/187.82 op_or-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V5), P_not-{F}(V6,V7), P_and-{F}(V7,V5,V8), P_not-{F}(V8,V9), V6 == V9, P_implies-{F}(V9,V6,V0), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1789: exists( #209, #1158 ), references = 1, size of lhs = 15:
% 187.53/187.82 op_implies_or-{F}(), pppp8-{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_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V4,V1), P_implies-{F}(V6,V7,V1), V7 == V6, P_implies-{F}(V7,V6,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1790: exists( #209, #1168 ), references = 3, size of lhs = 15:
% 187.53/187.82 op_implies_or-{F}(), pppp8-{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,V2,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_implies-{F}(V7,V8,V1), V8 == V7, P_implies-{F}(V8,V7,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1799: exists( #210, #1796 ), references = 4, size of lhs = 12:
% 187.53/187.82 op_implies_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_implies-{F}(V4,V2,V5), P_and-{F}(V6,V5,V1), P_or-{F}(V5,V6,V0) | P_and-{T}(V4,V3,V6)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1800: exists( #210, #1795 ), references = 1, size of lhs = 14:
% 187.53/187.82 op_implies_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,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V7), P_and-{F}(V8,V7,V3), P_or-{F}(V7,V8,V0) | P_and-{T}(V6,V5,V8)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1830: exists( #207, #1827 ), references = 2, size of lhs = 12:
% 187.53/187.82 pppp6-{F}(), op_implies_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_implies-{F}(V1,V3,V0), V1 == V3, P_and-{F}(V1,V4,V3) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1833: exists( #207, #1831 ), references = 1, size of lhs = 12:
% 187.53/187.82 pppp22-{F}(), pppp6-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_and-{F}(V0,V2,V3), V0 == V3, P_or-{F}(V4,V0,V3) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1835: exists( #209, #1629 ), references = 3, size of lhs = 13:
% 187.53/187.82 pppp9-{F}(), op_implies_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_implies-{F}(V3,V1,V0), P_implies-{F}(V4,V5,V0), V5 == V4, P_or-{F}(V5,V6,V4) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1849: exists( #210, #1847 ), references = 1, size of lhs = 17:
% 187.53/187.82 op_implies_or-{F}(), pppp8-{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}(V1,V2), P_and-{F}(V0,V1,V3), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V7), P_and-{F}(V8,V7,V3), P_and-{F}(V9,V7,V3), P_implies-{F}(V10,V11,V7), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1902: exists( #210, #1898 ), references = 1, size of lhs = 13:
% 187.53/187.82 pppp6-{F}(), op_implies_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_implies-{F}(V4,V2,V5), P_and-{F}(V4,V5,V1), P_not-{F}(V4,V6) | P_and-{T}(V4,V3,V4)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1903: exists( #210, #1899 ), references = 1, size of lhs = 15:
% 187.53/187.82 pppp6-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V0), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V8), P_and-{F}(V7,V8,V4) | P_and-{T}(V7,V6,V7)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1916: exists( #207, #1910 ), references = 2, size of lhs = 12:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_or-{F}(V0,V0,V1), V0 == V1, P_not-{F}(V0,V2), P_or-{F}(V0,V3,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1919: exists( #207, #1917 ), references = 1, size of lhs = 12:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V0,V1,V2), V1 == V2, P_not-{F}(V1,V3) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1921: exists( #211, #1916 ), references = 22, size of lhs = 9:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1) | P_or-{T}(V0,V0,V0)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1935: exists( #209, #1930 ), references = 11, size of lhs = 12:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V0,V2,V3) | P_not-{T}(V1,V3)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1970: exists( #208, #1968 ), references = 2, size of lhs = 25:
% 187.53/187.82 pppp21-{F}(), op_and-{F}(), op_or-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,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_not-{F}(V9,V10), P_or-{F}(V10,V7,V11), P_not-{F}(V11,V12), P_not-{F}(V12,V13), V8 == V13, P_implies-{F}(V13,V8,V0), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #1979: mergings( V6 == V7; #1977 ), references = 1, size of lhs = 27:
% 187.53/187.82 pppp21-{F}(), op_and-{F}(), op_or-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_or-{F}(V3,V4,V0), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_implies-{F}(V3,V5,V7), P_implies-{F}(V7,V6,V8), P_implies-{F}(V3,V8,V9), P_not-{F}(V9,V3), P_not-{F}(V10,V3), P_not-{F}(V11,V3), P_implies-{F}(V12,V13,V10), P_implies-{F}(V13,V12,V11), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V0) | P_equiv-{T}(V12,V13,V2)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2038: mergings( V3 == V5; #2036 ), references = 1, size of lhs = 24:
% 187.53/187.82 pppp21-{F}(), op_and-{F}(), op_or-{F}(), pppp9-{F}(), op_implies_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,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V0), P_or-{F}(V0,V4,V0), P_not-{F}(V5,V0), P_implies-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V0) | P_and-{T}(V1,V2,V3)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2098: exists( #207, #2094 ), references = 6, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V4), P_implies-{F}(V4,V6,V7) | P_implies-{T}(V0,V5,V7)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2099: exists( #207, #2095 ), references = 1, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V4), P_implies-{F}(V4,V6,V7) | P_implies-{T}(V0,V5,V7)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2171: exists( #207, #2166 ), references = 2, size of lhs = 13:
% 187.53/187.82 pppp23-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), V0 == V3, P_or-{F}(V4,V5,V3), P_or-{F}(V5,V4,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2174: exists( #207, #2172 ), references = 1, size of lhs = 11:
% 187.53/187.82 pppp23-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_or-{F}(V3,V1,V1) | P_implies-{T}(V0,V3,V1)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2201: exists( #208, #2199 ), references = 1, size of lhs = 25:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), is_a_theorem-{F}(V0), pppp58-{F}(V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_or-{F}(V4,V4,V3), P_implies-{F}(V4,V5,V0), P_not-{F}(V5,V6), P_or-{F}(V6,V4,V0), P_implies-{F}(V7,V8,V4), P_implies-{F}(V8,V7,V6), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V6), P_not-{F}(V11,V12), P_not-{F}(V10,V13), P_or-{F}(V12,V13,V2) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2205: exists( #207, #2203 ), references = 3, size of lhs = 23:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_or-{F}(V3,V3,V2), P_not-{F}(V3,V4), P_or-{F}(V3,V5,V3), P_implies-{F}(V6,V7,V3), P_implies-{F}(V7,V6,V4), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V4), P_not-{F}(V10,V11), P_not-{F}(V9,V12), P_or-{F}(V11,V12,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2243: exists( #210, #2239 ), references = 1, size of lhs = 17:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), pppp6-{F}(), is_a_theorem-{F}(V0), pppp58-{F}(V1), P_not-{F}(V1,V2), P_or-{F}(V2,V1,V0), P_and-{F}(V1,V2,V3), P_not-{F}(V3,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2298: exists( #211, #2171 ), references = 2, size of lhs = 10:
% 187.53/187.82 pppp23-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_or-{F}(V0,V1,V1), P_not-{F}(V1,V2) | P_or-{T}(V1,V0,V1)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2343: exists( #210, #2339 ), references = 2, size of lhs = 16:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_and-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_implies-{F}(V1,V4,V3), P_not-{F}(V5,V4), P_not-{F}(V6,V5), P_implies-{F}(V1,V6,V7) | P_and-{T}(V0,V2,V7)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2344: exists( #210, #2340 ), references = 1, size of lhs = 18:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V1,V5,V4), P_not-{F}(V6,V5), P_not-{F}(V7,V6), P_or-{F}(V3,V7,V8) | P_and-{T}(V0,V2,V8)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2382: exists( #210, #2380 ), references = 1, size of lhs = 16:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_and-{F}(V4,V1,V1), P_not-{F}(V4,V5) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2402: mergings( V7 == V8; #2399 ), references = 2, size of lhs = 26:
% 187.53/187.82 pppp23-{F}(), pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_or-{F}(V3,V3,V2), P_not-{F}(V3,V4), P_implies-{F}(V4,V3,V3), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V4), P_implies-{F}(V4,V7,V3), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V4), P_not-{F}(V10,V11), P_not-{F}(V9,V12), P_or-{F}(V11,V12,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2471: exists( #210, #2465 ), references = 2, size of lhs = 31:
% 187.53/187.82 op_or-{F}(), pppp23-{F}(), pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V1,V4,V5), P_not-{F}(V5,V1), P_implies-{F}(V1,V5,V5), P_or-{F}(V5,V5,V6), P_not-{F}(V6,V1), P_not-{F}(V7,V1), P_not-{F}(V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V11,V8,V12), P_not-{F}(V11,V13), P_or-{F}(V13,V10,V12), P_and-{F}(V14,V12,V7), P_not-{F}(V14,V15), P_not-{F}(V15,V14) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2517: exists( #207, #2511 ), references = 1, size of lhs = 22:
% 187.53/187.82 pppp22-{F}(), op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_and-{F}(V2,V3,V5), P_or-{F}(V6,V0,V4), P_not-{F}(V7,V8), P_and-{F}(V7,V9,V5), P_not-{F}(V9,V10), pppp41-{F}(V11,V10), P_and-{F}(V11,V10,V12), P_not-{F}(V12,V8) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2559: exists( #210, #2556 ), references = 1, size of lhs = 34:
% 187.53/187.82 op_or-{F}(), pppp23-{F}(), pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V1,V4,V5), P_not-{F}(V5,V1), P_implies-{F}(V1,V5,V5), P_or-{F}(V5,V5,V6), P_not-{F}(V6,V1), P_not-{F}(V7,V1), P_not-{F}(V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V11,V8,V12), P_not-{F}(V11,V13), P_or-{F}(V13,V10,V12), P_and-{F}(V12,V14,V7), P_not-{F}(V15,V16), P_not-{F}(V16,V17), P_implies-{F}(V18,V15,V14), P_not-{F}(V18,V19), P_or-{F}(V19,V17,V14) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2599: exists( #207, #2597 ), references = 2, size of lhs = 13:
% 187.53/187.82 pppp22-{F}(), op_implies_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_implies-{F}(V3,V1,V0), P_implies-{F}(V4,V5,V0), V5 == V4, P_or-{F}(V6,V5,V4) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2604: mergings( V7 == V9; #2602 ), references = 2, size of lhs = 20:
% 187.53/187.82 op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{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}(V6,V7,V1), P_or-{F}(V8,V6,V9), P_or-{F}(V8,V7,V10), P_implies-{F}(V9,V10,V5), P_implies-{F}(V11,V12,V3), V12 == V11, P_or-{F}(V13,V12,V11) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2622: exists( #210, #2620 ), references = 1, size of lhs = 27:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_implies_or-{F}(), pppp25-{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,V2), P_not-{F}(V4,V2), V2 == V4, P_not-{F}(V5,V2), P_implies-{F}(V2,V4,V6), P_implies-{F}(V6,V5,V7), P_and-{F}(V0,V7,V8), P_not-{F}(V9,V10), P_and-{F}(V11,V10,V8), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V8), P_implies-{F}(V15,V16,V14), P_or-{F}(V17,V15,V18), P_or-{F}(V17,V16,V19), P_implies-{F}(V18,V19,V12) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2697: exists( #210, #2690 ), references = 2, size of lhs = 26:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), P_and-{F}(V4,V5,V6), P_not-{F}(V5,V7), V7 == V4, P_not-{F}(V8,V6), P_implies-{F}(V6,V8,V9), P_not-{F}(V7,V10), P_or-{F}(V11,V7,V4), P_implies-{F}(V12,V13,V4), P_or-{F}(V14,V12,V15), P_or-{F}(V14,V13,V16), P_implies-{F}(V15,V16,V7) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2698: exists( #210, #2692 ), references = 1, size of lhs = 28:
% 187.53/187.82 op_or-{F}(), pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_implies_and-{F}(), op_and-{F}(), pppp22-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_or-{F}(V3,V3,V2), P_not-{F}(V3,V1), P_or-{F}(V3,V4,V3), P_not-{F}(V5,V6), P_not-{F}(V7,V8), P_or-{F}(V6,V8,V9), P_and-{F}(V9,V10,V11), P_not-{F}(V10,V12), P_not-{F}(V13,V11), P_implies-{F}(V11,V13,V1), P_not-{F}(V12,V14), P_not-{F}(V14,V12), P_implies-{F}(V15,V16,V3), P_implies-{F}(V16,V15,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2699: exists( #210, #2693 ), references = 2, size of lhs = 29:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V3,V0,V4), P_not-{F}(V3,V5), P_or-{F}(V5,V2,V6), P_and-{F}(V6,V7,V8), P_not-{F}(V7,V9), V9 == V6, P_not-{F}(V10,V8), P_implies-{F}(V8,V10,V11), P_not-{F}(V9,V12), P_or-{F}(V13,V9,V6), P_not-{F}(V14,V12), P_implies-{F}(V15,V16,V4), P_or-{F}(V17,V15,V18), P_or-{F}(V17,V16,V19), P_implies-{F}(V18,V19,V14) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2742: exists( #207, #2738 ), references = 3, size of lhs = 28:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V7), P_not-{F}(V8,V9), P_or-{F}(V7,V9,V10), P_and-{F}(V10,V11,V4), P_not-{F}(V11,V12), V12 == V10, P_not-{F}(V12,V13), P_or-{F}(V14,V12,V10), P_implies-{F}(V15,V16,V10), P_or-{F}(V17,V15,V18), P_or-{F}(V17,V16,V19), P_implies-{F}(V18,V19,V12) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2743: exists( #207, #2739 ), references = 2, size of lhs = 31:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_implies-{F}(V9,V6,V10), P_not-{F}(V9,V11), P_or-{F}(V11,V8,V12), P_and-{F}(V12,V13,V4), P_not-{F}(V13,V14), V14 == V12, P_not-{F}(V14,V15), P_or-{F}(V16,V14,V12), P_not-{F}(V17,V15), P_implies-{F}(V18,V19,V10), P_or-{F}(V20,V18,V21), P_or-{F}(V20,V19,V22), P_implies-{F}(V21,V22,V17) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2762: exists( #210, #2756 ), references = 1, size of lhs = 29:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), P_and-{F}(V4,V5,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V9), P_not-{F}(V10,V11), P_or-{F}(V9,V11,V12), P_and-{F}(V12,V13,V6), P_not-{F}(V13,V14), V14 == V12, P_not-{F}(V14,V15), P_or-{F}(V16,V14,V12), P_implies-{F}(V17,V18,V12), P_or-{F}(V19,V17,V20), P_or-{F}(V19,V18,V21), P_implies-{F}(V20,V21,V14) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2763: exists( #210, #2757 ), references = 1, size of lhs = 32:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), P_and-{F}(V4,V5,V6), P_not-{F}(V5,V7), P_not-{F}(V8,V9), P_not-{F}(V9,V10), P_implies-{F}(V11,V8,V12), P_not-{F}(V11,V13), P_or-{F}(V13,V10,V14), P_and-{F}(V14,V15,V6), P_not-{F}(V15,V16), V16 == V14, P_not-{F}(V16,V17), P_or-{F}(V18,V16,V14), P_not-{F}(V19,V17), P_implies-{F}(V20,V21,V12), P_or-{F}(V22,V20,V23), P_or-{F}(V22,V21,V24), P_implies-{F}(V23,V24,V19) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2769: mergings( V9 == V10; #2766 ), references = 1, size of lhs = 28:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), P_implies-{F}(V5,V6,V4), P_implies-{F}(V6,V5,V7), P_not-{F}(V7,V8), V8 == V4, P_not-{F}(V8,V9), P_or-{F}(V10,V8,V4), P_not-{F}(V11,V12), P_or-{F}(V12,V13,V4), P_not-{F}(V14,V13), P_implies-{F}(V15,V16,V4), P_or-{F}(V17,V15,V18), P_or-{F}(V17,V16,V19), P_implies-{F}(V18,V19,V8) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2771: mergings( V9 == V10; #2767 ), references = 1, size of lhs = 31:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_or-{F}(V1,V3,V4), P_implies-{F}(V5,V6,V4), P_implies-{F}(V6,V5,V7), P_not-{F}(V7,V8), V8 == V4, P_not-{F}(V8,V9), P_or-{F}(V10,V8,V4), P_not-{F}(V11,V9), P_not-{F}(V12,V13), P_not-{F}(V13,V14), P_or-{F}(V15,V14,V4), P_not-{F}(V16,V15), P_implies-{F}(V16,V12,V17), P_implies-{F}(V18,V19,V17), P_or-{F}(V20,V18,V21), P_or-{F}(V20,V19,V22), P_implies-{F}(V21,V22,V11) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2777: mergings( V1 == V10; #2774 ), references = 1, size of lhs = 23:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_not-{F}(V7,V5), P_implies-{F}(V5,V0,V8), P_not-{F}(V8,V5), P_or-{F}(V9,V0,V10), P_or-{F}(V9,V5,V11), P_implies-{F}(V10,V11,V5) | P_implies-{T}(V0,V5,V5)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2780: mergings( V6 == V10, V1 == V8; #2775 ), references = 1, size of lhs = 23:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_not-{F}(V5,V4), P_implies-{F}(V4,V2,V6), P_not-{F}(V6,V4), P_not-{F}(V7,V5), P_or-{F}(V8,V2,V9), P_or-{F}(V8,V4,V10), P_implies-{F}(V9,V10,V7) | P_implies-{T}(V2,V4,V4)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2871: mergings( V8 == V10; #2869 ), references = 1, size of lhs = 25:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), pppp0-{F}(), op_or-{F}(), op_implies_or-{F}(), op_equiv-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp23-{F}(), pppp1-{F}(), P_and-{F}(V0,V0,V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V0), P_not-{F}(V3,V4), P_not-{F}(V2,V5), P_or-{F}(V4,V5,V0), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_and-{F}(V6,V9,V0), P_not-{F}(V9,V10), P_or-{F}(V10,V7,V0), P_implies-{F}(V11,V12,V0), V11 == V12, P_implies-{F}(V12,V11,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2890: exists( #207, #2888 ), references = 1, size of lhs = 16:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_and-{F}(V2,V3,V4), P_not-{F}(V3,V5), P_and-{F}(V4,V4,V6), P_not-{F}(V6,V7) | P_implies-{T}(V0,V5,V7)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2897: mergings( V10 == V12; #2895 ), references = 2, size of lhs = 24:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_or-{F}(), op_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_implies-{F}(V3,V0,V4), P_not-{F}(V3,V5), P_or-{F}(V5,V2,V6), P_and-{F}(V7,V7,V6), P_not-{F}(V8,V9), P_not-{F}(V10,V9), P_not-{F}(V11,V9), P_and-{F}(V8,V12,V7), P_not-{F}(V12,V13), P_not-{F}(V14,V13), P_and-{F}(V11,V14,V15), V15 == V4 | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2941: exists( #210, #2935 ), references = 2, size of lhs = 13:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V4,V5) | P_and-{T}(V2,V1,V5)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2942: exists( #210, #2936 ), references = 1, size of lhs = 13:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V4,V5) | P_and-{T}(V2,V1,V5)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2943: exists( #210, #2937 ), references = 1, size of lhs = 15:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), pppp0-{F}(), pppp1-{F}(), op_equiv-{F}(), op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V4,V5), P_implies-{F}(V6,V7,V3), P_implies-{F}(V7,V6,V3) | P_and-{T}(V2,V1,V5)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2949: exists( #210, #2947 ), references = 1, size of lhs = 15:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp6-{F}(), pppp58-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V1,V2,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2953: exists( #209, #2951 ), references = 1, size of lhs = 12:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp6-{F}(), pppp58-{F}(V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2955: exists( #114, #2952 ), references = 1, size of lhs = 12:
% 187.53/187.82 pppp96-{F}(), op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp6-{F}() | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2957: disj( #113, exists( #114, #2952 ) ), references = 1, size of lhs = 11:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp6-{F}() | pppp15-{T}()
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2971: exists( #207, #2966 ), references = 1, size of lhs = 8:
% 187.53/187.82 pppp5-{F}(), pppp69-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V3,V4,V2), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V5,V7), P_implies-{F}(V6,V7,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2972: exists( #207, #2967 ), references = 1, size of lhs = 10:
% 187.53/187.82 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
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2985: exists( #207, #2983 ), references = 1, size of lhs = 5:
% 187.53/187.82 pppp9-{F}(), pppp69-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_or-{F}(V2,V3,V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2989: exists( #209, #2987 ), references = 1, size of lhs = 10:
% 187.53/187.82 pppp21-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp9-{F}(), pppp69-{F}(V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2991: exists( #150, #2988 ), references = 1, size of lhs = 10:
% 187.53/187.82 pppp101-{F}(), pppp21-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp9-{F}() | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #2993: disj( #149, exists( #150, #2988 ) ), references = 1, size of lhs = 9:
% 187.53/187.82 pppp21-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp9-{F}() | pppp20-{T}()
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3007: exists( #207, #3005 ), references = 2, size of lhs = 7:
% 187.53/187.82 pppp9-{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_or-{F}(V4,V6,V5) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3022: mergings( V5 == V10; #3020 ), references = 2, size of lhs = 25:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), V4 == V2, P_not-{F}(V4,V5), P_or-{F}(V6,V4,V2), P_not-{F}(V7,V8), P_or-{F}(V8,V9,V2), P_not-{F}(V10,V9), P_implies-{F}(V11,V12,V2), P_or-{F}(V13,V11,V14), P_or-{F}(V13,V12,V15), P_implies-{F}(V14,V15,V4) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3025: mergings( V7 == V8; #3023 ), references = 2, size of lhs = 25:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), V4 == V2, P_not-{F}(V4,V5), P_or-{F}(V6,V4,V2), P_not-{F}(V7,V8), P_or-{F}(V8,V9,V2), P_not-{F}(V10,V9), P_implies-{F}(V11,V12,V2), P_or-{F}(V13,V11,V14), P_or-{F}(V13,V12,V15), P_implies-{F}(V14,V15,V4) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3040: exists( #207, #3036 ), references = 1, size of lhs = 23:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_and-{F}(V2,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_not-{F}(V6,V8), P_not-{F}(V9,V6), P_or-{F}(V10,V0,V11), P_or-{F}(V10,V6,V12), P_implies-{F}(V11,V12,V6) | P_implies-{T}(V0,V6,V6)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3041: exists( #207, #3037 ), references = 1, size of lhs = 23:
% 187.53/187.82 op_and-{F}(), pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), op_implies_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_and-{F}(V2,V4,V5), P_not-{F}(V4,V6), P_not-{F}(V7,V6), P_not-{F}(V6,V8), P_not-{F}(V9,V6), P_or-{F}(V10,V0,V11), P_or-{F}(V10,V6,V12), P_implies-{F}(V11,V12,V6) | P_implies-{T}(V0,V6,V6)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3050: mergings( V4 == V6, V9 == V11; #3046 ), references = 3, size of lhs = 22:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V5,V8), P_or-{F}(V9,V2,V10), P_or-{F}(V9,V5,V11), P_implies-{F}(V10,V11,V5) | P_and-{T}(V3,V7,V8)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3054: mergings( V6 == V8, V10 == V15, V12 == V14; #3047 ), references = 1, size of lhs = 34:
% 187.53/187.82 pppp25-{F}(), pppp22-{F}(), pppp21-{F}(), pppp9-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), op_or-{F}(), op_implies_or-{F}(), op_and-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_not-{F}(V7,V8), P_not-{F}(V9,V8), P_not-{F}(V8,V10), P_not-{F}(V10,V8), P_not-{F}(V11,V8), P_and-{F}(V12,V8,V1), P_or-{F}(V8,V12,V0), P_and-{F}(V12,V12,V13), P_or-{F}(V14,V4,V15), P_or-{F}(V14,V8,V16), P_implies-{F}(V15,V16,V8), P_not-{F}(V17,V18), P_not-{F}(V18,V19), P_or-{F}(V20,V19,V13), P_not-{F}(V21,V20), P_implies-{F}(V21,V17,V22) | P_and-{T}(V5,V11,V22)
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3118: exists( #210, #3114 ), references = 1, size of lhs = 28:
% 187.53/187.82 pppp21-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_and-{F}(), op_implies_and-{F}(), pppp9-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), pppp30-{F}(V4,V3), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_not-{F}(V9,V7), P_not-{F}(V7,V10), P_not-{F}(V10,V11), P_implies-{F}(V4,V3,V12), P_or-{F}(V11,V13,V12), P_or-{F}(V14,V1,V15), P_or-{F}(V14,V7,V16), P_implies-{F}(V15,V16,V7) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3119: exists( #210, #3113 ), references = 1, size of lhs = 29:
% 187.53/187.82 pppp21-{F}(), pppp9-{F}(), op_or-{F}(), pppp25-{F}(), pppp22-{F}(), pppp8-{F}(), op_equiv-{F}(), pppp0-{F}(), pppp1-{F}(), op_implies_or-{F}(), op_and-{F}(), op_implies_and-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V2), pppp30-{F}(V5,V4), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V8), P_not-{F}(V8,V11), P_not-{F}(V11,V12), P_implies-{F}(V5,V4,V13), P_implies-{F}(V12,V13,V0), P_or-{F}(V14,V2,V15), P_or-{F}(V14,V8,V16), P_implies-{F}(V15,V16,V8) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3153: exists( #207, #3149 ), references = 1, size of lhs = 4:
% 187.53/187.82 pppp22-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_or-{F}(V3,V0,V2) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3156: exists( #207, #3154 ), references = 1, size of lhs = 4:
% 187.53/187.82 op_implies_or-{F}(), pppp22-{F}(), pppp32-{F}(V0,V1), P_not-{F}(V1,V2) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3158: exists( #209, #3155 ), references = 1, size of lhs = 3:
% 187.53/187.82 op_implies_or-{F}(), pppp22-{F}(), pppp32-{F}(V0,V1) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3160: exists( #29, #3157 ), references = 1, size of lhs = 3:
% 187.53/187.82 op_implies_or-{F}(), pppp22-{F}(), pppp33-{F}(V0) | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3162: exists( #28, #3159 ), references = 1, size of lhs = 3:
% 187.53/187.82 pppp84-{F}(), op_implies_or-{F}(), pppp22-{F}() | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3164: disj( #27, exists( #28, #3159 ) ), references = 1, size of lhs = 2:
% 187.53/187.82 op_implies_or-{F}(), pppp22-{F}() | pppp3-{T}()
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 #3170: #193+#198+#158+#3163+#25+#206, references = 1, size of lhs = 0:
% 187.53/187.82 FALSE | FALSE
% 187.53/187.82 (used 0 times, uses = {})
% 187.53/187.82
% 187.53/187.82 number of learnt formulas = 165
% 187.53/187.82
% 187.53/187.82
% 187.53/187.82 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 187.53/187.82
% 187.53/187.82 randbase = 1
%------------------------------------------------------------------------------