TSTP Solution File: LCL512+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL512+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:09:24 EDT 2022
% Result : Theorem 198.40s 198.61s
% Output : Refutation 198.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL512+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 22:38:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 198.40/198.61 GeoParameters:
% 198.40/198.61
% 198.40/198.61 tptp_input = 1
% 198.40/198.61 tptp_output = 0
% 198.40/198.61 nonempty = 1
% 198.40/198.61 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 198.40/198.61 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 198.40/198.61
% 198.40/198.61
% 198.40/198.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 198.40/198.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 198.40/198.61
% 198.40/198.61 RuleSystem INPUT:
% 198.40/198.61
% 198.40/198.61 Initial Rules:
% 198.40/198.61 #0: input, references = 3, size of lhs = 1:
% 198.40/198.61 modus_ponens-{F}() | pppp0-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp0-{F}() | modus_ponens-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2: input, references = 17, size of lhs = 4:
% 198.40/198.61 pppp0-{F}(), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2) | is_a_theorem-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #3: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp0-{T}(), pppp81-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #4: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp81-{F}() | EXISTS V0: pppp27-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #5: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp27-{F}(V0) | EXISTS V1: pppp26-{T}(V1,V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #6: input, references = 3, size of lhs = 2:
% 198.40/198.61 pppp27-{F}(V0), is_a_theorem-{F}(V0) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #7: input, references = 3, size of lhs = 2:
% 198.40/198.61 pppp26-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #8: input, references = 3, size of lhs = 2:
% 198.40/198.61 pppp26-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #9: input, references = 3, size of lhs = 1:
% 198.40/198.61 substitution_of_equivalents-{F}() | pppp1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #10: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp1-{F}() | substitution_of_equivalents-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #11: input, references = 8, size of lhs = 4:
% 198.40/198.61 pppp1-{F}(), P_equiv-{F}(V0,V1,V2), is_a_theorem-{F}(V2), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #12: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp1-{T}(), pppp82-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #13: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp82-{F}() | EXISTS V0: pppp29-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #14: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp29-{F}(V0) | EXISTS V1: pppp28-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #15: input, references = 3, size of lhs = 2:
% 198.40/198.61 pppp28-{F}(V1,V1), P_equiv-{F}(V1,V1,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #16: input, references = 3, size of lhs = 2:
% 198.40/198.61 pppp28-{F}(V0,V1), P_equiv-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #17: input, references = 3, size of lhs = 1:
% 198.40/198.61 modus_tollens-{F}() | pppp2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #18: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp2-{F}() | modus_tollens-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #19: input, references = 3, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #20: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp2-{T}(), pppp83-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #21: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp83-{F}() | EXISTS V0: pppp31-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #22: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp31-{F}(V0) | EXISTS V1: pppp30-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #23: input, references = 5, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #24: input, references = 3, size of lhs = 1:
% 198.40/198.61 implies_1-{F}() | pppp3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #25: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp3-{F}() | implies_1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #26: input, references = 3, size of lhs = 3:
% 198.40/198.61 pppp3-{F}(), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #27: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp3-{T}(), pppp84-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #28: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp84-{F}() | EXISTS V0: pppp33-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #29: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp33-{F}(V0) | EXISTS V1: pppp32-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #30: input, references = 6, size of lhs = 4:
% 198.40/198.61 pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #31: input, references = 3, size of lhs = 1:
% 198.40/198.61 implies_2-{F}() | pppp4-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #32: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp4-{F}() | implies_2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #33: input, references = 3, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #34: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp4-{T}(), pppp85-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #35: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp85-{F}() | EXISTS V0: pppp35-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #36: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp35-{F}(V0) | EXISTS V1: pppp34-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #37: input, references = 3, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #38: input, references = 3, size of lhs = 1:
% 198.40/198.61 implies_3-{F}() | pppp5-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #39: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp5-{F}() | implies_3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #40: input, references = 8, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #41: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp5-{T}(), pppp86-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #42: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp86-{F}() | EXISTS V0: pppp38-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #43: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp38-{F}(V0) | EXISTS V1: pppp37-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #44: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp37-{F}(V0,V1) | EXISTS V2: pppp36-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #45: input, references = 3, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #46: input, references = 3, size of lhs = 1:
% 198.40/198.61 and_1-{F}() | pppp6-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #47: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp6-{F}() | and_1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #48: input, references = 3, size of lhs = 3:
% 198.40/198.61 pppp6-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #49: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp6-{T}(), pppp87-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #50: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp87-{F}() | EXISTS V0: pppp40-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #51: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp40-{F}(V0) | EXISTS V1: pppp39-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #52: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp39-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #53: input, references = 3, size of lhs = 1:
% 198.40/198.61 and_2-{F}() | pppp7-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #54: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp7-{F}() | and_2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #55: input, references = 3, size of lhs = 3:
% 198.40/198.61 pppp7-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #56: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp7-{T}(), pppp88-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #57: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp88-{F}() | EXISTS V0: pppp42-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #58: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp42-{F}(V0) | EXISTS V1: pppp41-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #59: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp41-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #60: input, references = 3, size of lhs = 1:
% 198.40/198.61 and_3-{F}() | pppp8-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #61: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp8-{F}() | and_3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #62: input, references = 9, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #63: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp8-{T}(), pppp89-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #64: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp89-{F}() | EXISTS V0: pppp44-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #65: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp44-{F}(V0) | EXISTS V1: pppp43-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #66: input, references = 3, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #67: input, references = 3, size of lhs = 1:
% 198.40/198.61 or_1-{F}() | pppp9-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #68: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp9-{F}() | or_1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #69: input, references = 8, size of lhs = 3:
% 198.40/198.61 pppp9-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #70: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp9-{T}(), pppp90-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #71: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp90-{F}() | EXISTS V0: pppp46-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #72: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp46-{F}(V0) | EXISTS V1: pppp45-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #73: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp45-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #74: input, references = 3, size of lhs = 1:
% 198.40/198.61 or_2-{F}() | pppp10-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #75: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp10-{F}() | or_2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #76: input, references = 3, size of lhs = 3:
% 198.40/198.61 pppp10-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #77: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp10-{T}(), pppp91-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #78: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp91-{F}() | EXISTS V0: pppp48-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #79: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp48-{F}(V0) | EXISTS V1: pppp47-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #80: input, references = 4, size of lhs = 4:
% 198.40/198.61 pppp47-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #81: input, references = 3, size of lhs = 1:
% 198.40/198.61 or_3-{F}() | pppp11-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #82: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp11-{F}() | or_3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #83: input, references = 3, size of lhs = 7:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #84: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp11-{T}(), pppp92-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #85: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp92-{F}() | EXISTS V0: pppp51-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #86: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp51-{F}(V0) | EXISTS V1: pppp50-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #87: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp50-{F}(V0,V1) | EXISTS V2: pppp49-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #88: input, references = 3, size of lhs = 8:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #89: input, references = 3, size of lhs = 1:
% 198.40/198.61 equivalence_1-{F}() | pppp12-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #90: input, references = 4, size of lhs = 1:
% 198.40/198.61 pppp12-{F}() | equivalence_1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #91: input, references = 3, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #92: input, references = 4, size of lhs = 0:
% 198.40/198.61 FALSE | pppp12-{T}(), pppp93-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #93: input, references = 4, size of lhs = 1:
% 198.40/198.61 pppp93-{F}() | EXISTS V0: pppp53-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #94: input, references = 4, size of lhs = 1:
% 198.40/198.61 pppp53-{F}(V0) | EXISTS V1: pppp52-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #95: input, references = 4, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #96: input, references = 3, size of lhs = 1:
% 198.40/198.61 equivalence_2-{F}() | pppp13-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #97: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp13-{F}() | equivalence_2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #98: input, references = 4, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #99: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp13-{T}(), pppp94-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #100: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp94-{F}() | EXISTS V0: pppp55-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #101: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp55-{F}(V0) | EXISTS V1: pppp54-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #102: input, references = 3, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #103: input, references = 3, size of lhs = 1:
% 198.40/198.61 equivalence_3-{F}() | pppp14-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #104: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp14-{F}() | equivalence_3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #105: input, references = 3, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #106: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp14-{T}(), pppp95-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #107: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp95-{F}() | EXISTS V0: pppp57-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #108: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp57-{F}(V0) | EXISTS V1: pppp56-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #109: input, references = 3, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #110: input, references = 3, size of lhs = 1:
% 198.40/198.61 kn1-{F}() | pppp15-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #111: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp15-{F}() | kn1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #112: input, references = 10, size of lhs = 3:
% 198.40/198.61 pppp15-{F}(), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #113: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp15-{T}(), pppp96-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #114: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp96-{F}() | EXISTS V0: pppp58-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #115: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp58-{F}(V0), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #116: input, references = 4, size of lhs = 1:
% 198.40/198.61 kn2-{F}() | pppp16-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #117: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp16-{F}() | kn2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #118: input, references = 21, size of lhs = 3:
% 198.40/198.61 pppp16-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #119: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp16-{T}(), pppp97-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #120: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp97-{F}() | EXISTS V0: pppp60-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #121: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp60-{F}(V0) | EXISTS V1: pppp59-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #122: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp59-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #123: input, references = 3, size of lhs = 1:
% 198.40/198.61 kn3-{F}() | pppp17-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #124: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp17-{F}() | kn3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #125: input, references = 11, size of lhs = 8:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #126: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp17-{T}(), pppp98-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #127: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp98-{F}() | EXISTS V0: pppp63-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #128: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp63-{F}(V0) | EXISTS V1: pppp62-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #129: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp62-{F}(V0,V1) | EXISTS V2: pppp61-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #130: input, references = 3, size of lhs = 9:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #131: input, references = 3, size of lhs = 1:
% 198.40/198.61 cn1-{F}() | pppp18-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #132: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp18-{F}() | cn1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #133: input, references = 3, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #134: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp18-{T}(), pppp99-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #135: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp99-{F}() | EXISTS V0: pppp66-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #136: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp66-{F}(V0) | EXISTS V1: pppp65-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #137: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp65-{F}(V0,V1) | EXISTS V2: pppp64-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #138: input, references = 3, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #139: input, references = 3, size of lhs = 1:
% 198.40/198.61 cn2-{F}() | pppp19-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #140: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp19-{F}() | cn2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #141: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp19-{F}(), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #142: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp19-{T}(), pppp100-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #143: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp100-{F}() | EXISTS V0: pppp68-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #144: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp68-{F}(V0) | EXISTS V1: pppp67-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #145: input, references = 4, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #146: input, references = 3, size of lhs = 1:
% 198.40/198.61 cn3-{F}() | pppp20-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #147: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp20-{F}() | cn3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #148: input, references = 6, size of lhs = 4:
% 198.40/198.61 pppp20-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #149: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp20-{T}(), pppp101-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #150: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp101-{F}() | EXISTS V0: pppp69-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #151: input, references = 3, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #152: input, references = 3, size of lhs = 1:
% 198.40/198.61 r1-{F}() | pppp21-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #153: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp21-{F}() | r1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #154: input, references = 3, size of lhs = 3:
% 198.40/198.61 pppp21-{F}(), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | is_a_theorem-{T}(V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #155: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp21-{T}(), pppp102-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #156: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp102-{F}() | EXISTS V0: pppp70-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #157: input, references = 3, size of lhs = 4:
% 198.40/198.61 pppp70-{F}(V0), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #158: input, references = 3, size of lhs = 1:
% 198.40/198.61 r2-{F}() | pppp22-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #159: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp22-{F}() | r2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #160: input, references = 3, size of lhs = 3:
% 198.40/198.61 pppp22-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #161: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp22-{T}(), pppp103-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #162: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp103-{F}() | EXISTS V0: pppp72-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #163: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp72-{F}(V0) | EXISTS V1: pppp71-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #164: input, references = 4, size of lhs = 4:
% 198.40/198.61 pppp71-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #165: input, references = 3, size of lhs = 1:
% 198.40/198.61 r3-{F}() | pppp23-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #166: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp23-{F}() | r3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #167: input, references = 6, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #168: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp23-{T}(), pppp104-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #169: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp104-{F}() | EXISTS V0: pppp74-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #170: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp74-{F}(V0) | EXISTS V1: pppp73-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #171: input, references = 3, size of lhs = 5:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #172: input, references = 3, size of lhs = 1:
% 198.40/198.61 r4-{F}() | pppp24-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #173: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp24-{F}() | r4-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #174: input, references = 3, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #175: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp24-{T}(), pppp105-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #176: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp105-{F}() | EXISTS V0: pppp77-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #177: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp77-{F}(V0) | EXISTS V1: pppp76-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #178: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp76-{F}(V0,V1) | EXISTS V2: pppp75-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #179: input, references = 3, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #180: input, references = 3, size of lhs = 1:
% 198.40/198.61 r5-{F}() | pppp25-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #181: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp25-{F}() | r5-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #182: input, references = 3, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #183: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | pppp25-{T}(), pppp106-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #184: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp106-{F}() | EXISTS V0: pppp80-{T}(V0)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #185: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp80-{F}(V0) | EXISTS V1: pppp79-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #186: input, references = 3, size of lhs = 1:
% 198.40/198.61 pppp79-{F}(V0,V1) | EXISTS V2: pppp78-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #187: input, references = 3, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #188: input, references = 6, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #189: input, references = 3, size of lhs = 7:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #190: input, references = 7, size of lhs = 6:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #191: input, references = 3, size of lhs = 5:
% 198.40/198.61 op_implies_or-{F}(), P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #192: input, references = 5, size of lhs = 6:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #193: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | op_or-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #194: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | op_implies_and-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #195: input, references = 4, size of lhs = 0:
% 198.40/198.61 FALSE | op_equiv-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #196: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | modus_ponens-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #197: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | kn1-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #198: input, references = 4, size of lhs = 0:
% 198.40/198.61 FALSE | kn2-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #199: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | kn3-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #200: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | substitution_of_equivalents-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #201: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | op_or-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #202: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | op_implies_and-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #203: input, references = 3, size of lhs = 0:
% 198.40/198.61 FALSE | op_equiv-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #204: input, references = 4, size of lhs = 1:
% 198.40/198.61 equivalence_1-{F}() | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #205: input, references = 29, size of lhs = 2:
% 198.40/198.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #206: input, references = 15, size of lhs = 2:
% 198.40/198.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_equiv-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #207: input, references = 5, size of lhs = 1:
% 198.40/198.61 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #208: input, references = 15, size of lhs = 2:
% 198.40/198.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #209: input, references = 22, size of lhs = 2:
% 198.40/198.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 number of initial rules = 210
% 198.40/198.61
% 198.40/198.61 Simplifiers:
% 198.40/198.61 #210: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #211: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 P_equiv-{F}(V0,V1,V2), P_equiv-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #212: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #213: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #214: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #215: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp26-{F}(V0,V1), pppp26-{F}(V2,V1), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #216: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #217: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #218: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp28-{F}(V0,V1), pppp28-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #219: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp28-{F}(V0,V1), pppp28-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #220: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp29-{F}(V0), pppp29-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #221: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp30-{F}(V0,V1), pppp30-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #222: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp30-{F}(V0,V1), pppp30-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #223: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp31-{F}(V0), pppp31-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #224: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp32-{F}(V0,V1), pppp32-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #225: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp32-{F}(V0,V1), pppp32-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #226: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp33-{F}(V0), pppp33-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #227: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp34-{F}(V0,V1), pppp34-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #228: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp34-{F}(V0,V1), pppp34-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #229: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp35-{F}(V0), pppp35-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #230: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #231: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp36-{F}(V0,V1,V2), pppp36-{F}(V0,V4,V5), V1 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #232: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp36-{F}(V0,V1,V2), pppp36-{F}(V3,V4,V5), V0 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #233: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp37-{F}(V0,V1), pppp37-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #234: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp37-{F}(V0,V1), pppp37-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #235: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp38-{F}(V0), pppp38-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #236: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp39-{F}(V0,V1), pppp39-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #237: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp39-{F}(V0,V1), pppp39-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #238: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp40-{F}(V0), pppp40-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #239: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp41-{F}(V0,V1), pppp41-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #240: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp41-{F}(V0,V1), pppp41-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #241: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp42-{F}(V0), pppp42-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #242: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp43-{F}(V0,V1), pppp43-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #243: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp43-{F}(V0,V1), pppp43-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #244: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp44-{F}(V0), pppp44-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #245: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp45-{F}(V0,V1), pppp45-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #246: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp45-{F}(V0,V1), pppp45-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #247: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp46-{F}(V0), pppp46-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #248: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp47-{F}(V0,V1), pppp47-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #249: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp47-{F}(V0,V1), pppp47-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #250: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp48-{F}(V0), pppp48-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #251: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp49-{F}(V0,V1,V2), pppp49-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #252: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp49-{F}(V0,V1,V2), pppp49-{F}(V0,V4,V5), V1 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #253: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp49-{F}(V0,V1,V2), pppp49-{F}(V3,V4,V5), V0 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #254: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp50-{F}(V0,V1), pppp50-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #255: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp50-{F}(V0,V1), pppp50-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #256: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp51-{F}(V0), pppp51-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #257: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp52-{F}(V0,V1), pppp52-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #258: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp52-{F}(V0,V1), pppp52-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #259: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp53-{F}(V0), pppp53-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #260: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp54-{F}(V0,V1), pppp54-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #261: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp54-{F}(V0,V1), pppp54-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #262: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp55-{F}(V0), pppp55-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #263: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp56-{F}(V0,V1), pppp56-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #264: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp56-{F}(V0,V1), pppp56-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #265: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp57-{F}(V0), pppp57-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #266: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp58-{F}(V0), pppp58-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #267: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp59-{F}(V0,V1), pppp59-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #268: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp59-{F}(V0,V1), pppp59-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #269: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp60-{F}(V0), pppp60-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #270: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp61-{F}(V0,V1,V2), pppp61-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #271: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp61-{F}(V0,V1,V2), pppp61-{F}(V0,V4,V5), V1 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #272: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp61-{F}(V0,V1,V2), pppp61-{F}(V3,V4,V5), V0 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #273: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp62-{F}(V0,V1), pppp62-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #274: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp62-{F}(V0,V1), pppp62-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #275: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp63-{F}(V0), pppp63-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #276: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp64-{F}(V0,V1,V2), pppp64-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #277: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp64-{F}(V0,V1,V2), pppp64-{F}(V0,V4,V5), V1 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #278: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp64-{F}(V0,V1,V2), pppp64-{F}(V3,V4,V5), V0 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #279: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp65-{F}(V0,V1), pppp65-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #280: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp65-{F}(V0,V1), pppp65-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #281: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp66-{F}(V0), pppp66-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #282: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp67-{F}(V0,V1), pppp67-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #283: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp67-{F}(V0,V1), pppp67-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #284: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp68-{F}(V0), pppp68-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #285: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp69-{F}(V0), pppp69-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #286: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp70-{F}(V0), pppp70-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #287: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp71-{F}(V0,V1), pppp71-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #288: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp71-{F}(V0,V1), pppp71-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #289: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp72-{F}(V0), pppp72-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #290: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp73-{F}(V0,V1), pppp73-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #291: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp73-{F}(V0,V1), pppp73-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #292: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp74-{F}(V0), pppp74-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #293: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp75-{F}(V0,V1,V2), pppp75-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #294: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp75-{F}(V0,V1,V2), pppp75-{F}(V0,V4,V5), V1 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #295: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp75-{F}(V0,V1,V2), pppp75-{F}(V3,V4,V5), V0 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #296: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp76-{F}(V0,V1), pppp76-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #297: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp76-{F}(V0,V1), pppp76-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #298: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp77-{F}(V0), pppp77-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #299: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp78-{F}(V0,V1,V2), pppp78-{F}(V0,V1,V5), V2 == V5 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #300: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp78-{F}(V0,V1,V2), pppp78-{F}(V0,V4,V5), V1 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #301: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp78-{F}(V0,V1,V2), pppp78-{F}(V3,V4,V5), V0 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #302: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp79-{F}(V0,V1), pppp79-{F}(V0,V3), V1 == V3 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #303: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp79-{F}(V0,V1), pppp79-{F}(V2,V3), V0 == V2 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #304: unsound, references = 3, size of lhs = 3:
% 198.40/198.61 pppp80-{F}(V0), pppp80-{F}(V1), V0 == V1 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 number of simplifiers = 95
% 198.40/198.61
% 198.40/198.61 Learnt:
% 198.40/198.61 #307: exists( #206, #192 ), references = 1, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #309: exists( #208, #192 ), references = 21, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #311: exists( #207, #188 ), references = 25, size of lhs = 5:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #313: exists( #205, #190 ), references = 24, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #315: exists( #209, #188 ), references = 5, size of lhs = 5:
% 198.40/198.61 op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_and-{F}(V1,V3,V4), P_not-{F}(V4,V5) | P_or-{T}(V0,V2,V5)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #319: exists( #207, #190 ), references = 28, size of lhs = 4:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #322: exists( #208, #320 ), references = 1, size of lhs = 6:
% 198.40/198.61 op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V4), P_implies-{F}(V3,V2,V5), V5 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #324: exists( #205, #321 ), references = 2, size of lhs = 4:
% 198.40/198.61 op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V4) | P_implies-{T}(V3,V2,V4)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #336: exists( #206, #334 ), references = 1, size of lhs = 11:
% 198.40/198.61 op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V0,V2,V1), P_implies-{F}(V3,V4,V0), V3 == V4, P_implies-{F}(V4,V3,V1) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #342: exists( #206, #340 ), references = 10, size of lhs = 13:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #355: exists( #205, #353 ), references = 1, size of lhs = 15:
% 198.40/198.61 pppp16-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_implies-{F}(V5,V6,V4), V6 == V5, P_implies-{F}(V6,V5,V7), P_implies-{F}(V7,V3,V8), P_and-{F}(V0,V8,V9), P_and-{F}(V10,V2,V9), P_and-{F}(V1,V11,V10) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #374: exists( #205, #371 ), references = 1, size of lhs = 4:
% 198.40/198.61 pppp15-{F}(), pppp71-{F}(V0,V1), P_and-{F}(V1,V1,V2), P_or-{F}(V0,V1,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #414: exists( #208, #411 ), references = 2, size of lhs = 8:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #415: exists( #208, #410 ), references = 1, size of lhs = 8:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #418: exists( #205, #412 ), references = 20, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #434: exists( #209, #414 ), references = 4, size of lhs = 6:
% 198.40/198.61 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)
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #456: exists( #205, #454 ), references = 1, size of lhs = 7:
% 198.40/198.61 pppp15-{F}(), pppp30-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V0,V3), P_implies-{F}(V2,V3,V4), P_and-{F}(V4,V4,V5), P_implies-{F}(V0,V1,V5) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #469: exists( #205, #467 ), references = 1, size of lhs = 4:
% 198.40/198.61 pppp15-{F}(), pppp47-{F}(V0,V1), P_and-{F}(V1,V1,V2), P_or-{F}(V0,V1,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #517: exists( #208, #513 ), references = 1, size of lhs = 19:
% 198.40/198.61 pppp20-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_and-{F}(V4,V4,V5), P_not-{F}(V5,V6), P_and-{F}(V6,V4,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V8), P_and-{F}(V0,V10,V9), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V14,V15,V13), V14 == V15, P_implies-{F}(V15,V14,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #520: exists( #205, #518 ), references = 1, size of lhs = 19:
% 198.40/198.61 pppp20-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V4), P_and-{F}(V0,V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_and-{F}(V9,V9,V10), P_not-{F}(V10,V11), P_and-{F}(V11,V9,V4), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V5), P_implies-{F}(V15,V16,V14), V15 == V16, P_implies-{F}(V16,V15,V13) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #578: exists( #205, #572 ), references = 1, size of lhs = 7:
% 198.40/198.61 pppp9-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_or-{F}(V0,V1,V2), P_equiv-{F}(V3,V4,V2), V3 == V4 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #579: exists( #205, #573 ), references = 1, size of lhs = 15:
% 198.40/198.61 pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), V5 == V4, P_implies-{F}(V5,V4,V6), P_implies-{F}(V6,V2,V7), P_and-{F}(V1,V7,V8), P_not-{F}(V8,V9), P_or-{F}(V0,V10,V9) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #585: exists( #205, #583 ), references = 4, size of lhs = 19:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V4), P_and-{F}(V5,V4,V6), P_and-{F}(V1,V7,V6), P_not-{F}(V8,V7), P_and-{F}(V2,V9,V6), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V9), P_implies-{F}(V13,V14,V11), V14 == V13, P_implies-{F}(V14,V13,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #589: exists( #206, #587 ), references = 2, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_implies-{F}(V2,V3,V1), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #594: exists( #208, #585 ), references = 3, size of lhs = 16:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V5,V3), P_implies-{F}(V8,V9,V6), V9 == V8, P_implies-{F}(V9,V8,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #598: exists( #206, #596 ), references = 2, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V5,V4,V6), P_implies-{F}(V6,V2,V7), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V7), P_implies-{F}(V11,V12,V9), V12 == V11, P_implies-{F}(V12,V11,V10) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #601: mergings( V5 == V8; #599 ), references = 5, size of lhs = 15:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V3), P_implies-{F}(V5,V4,V6), P_implies-{F}(V7,V8,V3), V8 == V7, P_implies-{F}(V8,V7,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #631: mergings( V4 == V6; #629 ), references = 3, size of lhs = 12:
% 198.40/198.61 op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V3,V4,V0), P_equiv-{F}(V5,V6,V4), V5 == V6 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #657: mergings( V8 == V9; #655 ), references = 4, size of lhs = 22:
% 198.40/198.61 pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), is_a_theorem-{F}(V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V2), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V0), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V9), V14 == V13, P_implies-{F}(V14,V13,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #661: mergings( V6 == V8; #659 ), references = 1, size of lhs = 19:
% 198.40/198.61 pppp15-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_and-{F}(V4,V4,V3), V4 == V3, P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_implies-{F}(V3,V4,V7), P_not-{F}(V8,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #668: mergings( V5 == V7, V7 == V8; #665 ), references = 1, size of lhs = 18:
% 198.40/198.61 pppp16-{F}(), pppp15-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_and-{F}(V0,V0,V0), P_and-{F}(V1,V1,V0), V1 == V0, P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_and-{F}(V1,V3,V0), P_not-{F}(V4,V5), P_and-{F}(V5,V6,V0), P_not-{F}(V7,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #720: exists( #208, #717 ), references = 4, size of lhs = 23:
% 198.40/198.61 pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_implies-{F}(V4,V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V5,V4,V0), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V0), P_not-{F}(V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V11), V16 == V15, P_implies-{F}(V16,V15,V14) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #724: mergings( V0 == V7; #722 ), references = 2, size of lhs = 24:
% 198.40/198.61 pppp5-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V12,V7), V12 == V11, P_implies-{F}(V12,V11,V10), P_implies-{F}(V13,V14,V4), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #732: exists( #205, #728 ), references = 1, size of lhs = 24:
% 198.40/198.61 pppp16-{F}(), pppp5-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_and-{F}(V1,V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V9,V7), P_implies-{F}(V9,V8,V10), P_implies-{F}(V11,V12,V7), V12 == V11, P_implies-{F}(V12,V11,V10), P_implies-{F}(V13,V14,V3), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #789: exists( #205, #785 ), references = 1, size of lhs = 4:
% 198.40/198.61 pppp9-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_or-{F}(V0,V3,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #790: exists( #205, #786 ), references = 1, size of lhs = 5:
% 198.40/198.61 pppp9-{F}(), pppp67-{F}(V0,V1), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_or-{F}(V0,V4,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #802: exists( #205, #800 ), references = 2, size of lhs = 10:
% 198.40/198.61 pppp9-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_or-{F}(V0,V1,V2), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_equiv-{F}(V5,V6,V4), V5 == V6 | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #899: mergings( V7 == V8, V8 == V10; #896 ), references = 2, size of lhs = 23:
% 198.40/198.61 pppp16-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V4), P_and-{F}(V3,V8,V4), P_not-{F}(V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V10), V15 == V14, P_implies-{F}(V15,V14,V13) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #951: exists( #208, #945 ), references = 6, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_and-{F}(V0,V2,V3), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V2), P_implies-{F}(V7,V8,V2), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V2), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #952: exists( #208, #946 ), references = 4, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_and-{F}(V0,V2,V3), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V2), P_implies-{F}(V9,V10,V2), V10 == V9, P_implies-{F}(V10,V9,V0) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #953: exists( #208, #947 ), references = 1, size of lhs = 20:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2), P_and-{F}(V0,V2,V3), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V1), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V2), P_implies-{F}(V9,V10,V2), P_implies-{F}(V10,V9,V1), P_implies-{F}(V11,V12,V2), V12 == V11, P_implies-{F}(V12,V11,V0) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #964: mergings( V3 == V7; #960 ), references = 2, size of lhs = 15:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_equiv-{F}(V3,V5,V2), V3 == V5, P_implies-{F}(V3,V5,V0), P_and-{F}(V3,V6,V5) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #965: exists( #205, #958 ), references = 2, size of lhs = 17:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V6), P_equiv-{F}(V5,V7,V4), V5 == V7, P_implies-{F}(V5,V7,V0), P_and-{F}(V5,V8,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #967: mergings( V4 == V3; #962 ), references = 1, size of lhs = 16:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V0), P_not-{F}(V4,V5), P_equiv-{F}(V4,V6,V3), V4 == V6, P_implies-{F}(V4,V6,V0), P_and-{F}(V4,V7,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1023: exists( #208, #1021 ), references = 1, size of lhs = 20:
% 198.40/198.61 op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V0,V1), is_a_theorem-{F}(V2), P_not-{F}(V3,V4), P_implies-{F}(V5,V3,V6), P_and-{F}(V1,V6,V7), P_and-{F}(V2,V8,V7), P_not-{F}(V9,V10), P_and-{F}(V11,V10,V7), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V8), P_implies-{F}(V15,V16,V13), V16 == V15, P_implies-{F}(V16,V15,V14) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1084: exists( #206, #1082 ), references = 1, size of lhs = 13:
% 198.40/198.61 op_equiv-{F}(), pppp9-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V4,V2), V4 == V3, P_implies-{F}(V4,V3,V5), P_implies-{F}(V5,V1,V6), P_not-{F}(V7,V6), P_or-{F}(V0,V8,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1170: mergings( V6 == V9, V10 == V7; #1165 ), references = 1, size of lhs = 21:
% 198.40/198.61 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V1), P_implies-{F}(V11,V12,V1), V12 == V11, P_implies-{F}(V12,V11,V0), P_and-{F}(V4,V13,V14), P_implies-{F}(V13,V14,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1173: mergings( V6 == V9, V10 == V7; #1166 ), references = 1, size of lhs = 23:
% 198.40/198.61 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V1), P_implies-{F}(V11,V12,V1), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V1), V15 == V14, P_implies-{F}(V15,V14,V13), P_and-{F}(V4,V16,V17), P_implies-{F}(V16,V17,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1176: mergings( V4 == V7, V5 == V8; #1167 ), references = 1, size of lhs = 19:
% 198.40/198.61 op_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V4), P_and-{F}(V0,V7,V5), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V7), P_implies-{F}(V11,V12,V9), V12 == V11, P_implies-{F}(V12,V11,V10), P_and-{F}(V2,V13,V14), P_implies-{F}(V13,V14,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1185: mergings( V3 == V6, V4 == V8; #1180 ), references = 1, size of lhs = 21:
% 198.40/198.61 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), V11 == V10, P_implies-{F}(V11,V10,V0), P_and-{F}(V0,V12,V13), P_implies-{F}(V12,V13,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1188: mergings( V3 == V6, V4 == V8; #1181 ), references = 1, size of lhs = 23:
% 198.40/198.61 pppp8-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_and-{F}(V0,V15,V16), P_implies-{F}(V15,V16,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1191: mergings( V3 == V5, V6 == V8; #1182 ), references = 2, size of lhs = 19:
% 198.40/198.61 op_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_and-{F}(V0,V12,V13), P_implies-{F}(V12,V13,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1250: exists( #209, #1244 ), references = 2, size of lhs = 20:
% 198.40/198.61 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V5), P_or-{F}(V15,V16,V14), P_or-{F}(V16,V15,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1252: mergings( V8 == V7; #1248 ), references = 2, size of lhs = 16:
% 198.40/198.61 pppp23-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_and-{F}(V1,V3,V4), P_and-{F}(V5,V5,V4), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_equiv-{F}(V8,V9,V7), V8 == V9, P_or-{F}(V10,V11,V5), P_or-{F}(V11,V10,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1253: exists( #209, #1246 ), references = 2, size of lhs = 24:
% 198.40/198.61 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_not-{F}(V15,V16), P_and-{F}(V17,V16,V2), P_or-{F}(V18,V19,V17), P_or-{F}(V19,V18,V15) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1263: exists( #206, #1257 ), references = 1, size of lhs = 17:
% 198.40/198.61 op_equiv-{F}(), pppp23-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,V1), P_equiv-{F}(V7,V8,V4), V7 == V8, P_or-{F}(V9,V10,V1), P_or-{F}(V10,V9,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1264: exists( #206, #1258 ), references = 3, size of lhs = 19:
% 198.40/198.61 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_or-{F}(V12,V13,V0), P_or-{F}(V13,V12,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1265: exists( #206, #1259 ), references = 2, size of lhs = 23:
% 198.40/198.61 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_or-{F}(V15,V16,V0), P_or-{F}(V16,V15,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1269: exists( #205, #1260 ), references = 1, size of lhs = 17:
% 198.40/198.61 op_equiv-{F}(), pppp23-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V1), P_implies-{F}(V6,V5,V1), P_equiv-{F}(V7,V8,V4), V7 == V8, P_or-{F}(V9,V10,V1), P_or-{F}(V10,V9,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1270: exists( #205, #1261 ), references = 2, size of lhs = 19:
% 198.40/198.61 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_or-{F}(V12,V13,V0), P_or-{F}(V13,V12,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1271: exists( #205, #1262 ), references = 2, size of lhs = 23:
% 198.40/198.61 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_or-{F}(V15,V16,V0), P_or-{F}(V16,V15,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1288: exists( #205, #1285 ), references = 1, size of lhs = 10:
% 198.40/198.61 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
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1332: exists( #205, #1326 ), references = 1, size of lhs = 17:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V1,V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V8,V7,V9), P_implies-{F}(V10,V11,V6), V11 == V10, P_implies-{F}(V11,V10,V9) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1333: exists( #205, #1327 ), references = 1, size of lhs = 18:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V1,V4,V3), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V6), P_implies-{F}(V11,V12,V9), V12 == V11, P_implies-{F}(V12,V11,V10) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1334: exists( #205, #1328 ), references = 1, size of lhs = 20:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_and-{F}(V3,V2,V0), P_and-{F}(V1,V4,V3), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), P_implies-{F}(V8,V7,V9), P_implies-{F}(V9,V5,V10), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V10), P_implies-{F}(V14,V15,V12), V15 == V14, P_implies-{F}(V15,V14,V13) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1383: mergings( V5 == V7; #1379 ), references = 1, size of lhs = 25:
% 198.40/198.61 pppp8-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_not-{F}(V3,V2), P_not-{F}(V4,V2), P_not-{F}(V5,V6), P_not-{F}(V6,V7), P_implies-{F}(V7,V6,V0), P_not-{F}(V8,V7), P_not-{F}(V9,V10), P_implies-{F}(V11,V12,V10), P_implies-{F}(V12,V11,V13), P_implies-{F}(V14,V15,V10), V15 == V14, P_implies-{F}(V15,V14,V13), P_and-{F}(V6,V16,V17), P_implies-{F}(V16,V17,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1385: mergings( V4 == V6; #1380 ), references = 1, size of lhs = 26:
% 198.40/198.61 pppp8-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V0), P_not-{F}(V7,V6), P_not-{F}(V8,V9), P_implies-{F}(V10,V8,V0), P_not-{F}(V11,V12), P_implies-{F}(V13,V14,V12), P_implies-{F}(V14,V13,V15), P_implies-{F}(V16,V17,V12), V17 == V16, P_implies-{F}(V17,V16,V15), P_and-{F}(V5,V18,V19), P_implies-{F}(V18,V19,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1387: mergings( V3 == V5; #1381 ), references = 1, size of lhs = 26:
% 198.40/198.61 pppp8-{F}(), pppp16-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_not-{F}(V7,V5), P_not-{F}(V8,V5), P_and-{F}(V4,V9,V5), P_not-{F}(V10,V11), P_implies-{F}(V12,V13,V11), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V11), V16 == V15, P_implies-{F}(V16,V15,V14), P_and-{F}(V4,V17,V18), P_implies-{F}(V17,V18,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1459: mergings( V7 == V8, V8 == V10; #1456 ), references = 1, size of lhs = 24:
% 198.40/198.61 pppp13-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V2,V0), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V4), P_not-{F}(V8,V9), P_implies-{F}(V10,V11,V9), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V9), V14 == V13, P_implies-{F}(V14,V13,V12), P_equiv-{F}(V15,V16,V4), P_implies-{F}(V16,V15,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1487: exists( #209, #1481 ), references = 2, size of lhs = 22:
% 198.40/198.61 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V5), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1488: exists( #209, #1483 ), references = 2, size of lhs = 24:
% 198.40/198.61 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), V11 == V10, P_implies-{F}(V11,V10,V0), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V2), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1489: exists( #209, #1482 ), references = 2, size of lhs = 26:
% 198.40/198.61 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_not-{F}(V15,V16), P_and-{F}(V17,V16,V2), P_implies-{F}(V18,V19,V17), P_implies-{F}(V19,V20,V21), P_implies-{F}(V18,V20,V22), P_implies-{F}(V21,V22,V15) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1502: exists( #206, #1496 ), references = 2, size of lhs = 23:
% 198.40/198.61 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), V11 == V10, P_implies-{F}(V11,V10,V0), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1503: exists( #206, #1497 ), references = 2, size of lhs = 25:
% 198.40/198.61 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_implies-{F}(V5,V6,V0), P_implies-{F}(V6,V5,V1), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_implies-{F}(V15,V16,V0), P_implies-{F}(V16,V17,V18), P_implies-{F}(V15,V17,V19), P_implies-{F}(V18,V19,V4) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1504: exists( #206, #1498 ), references = 2, size of lhs = 21:
% 198.40/198.61 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_implies-{F}(V12,V13,V0), P_implies-{F}(V13,V14,V15), P_implies-{F}(V12,V14,V16), P_implies-{F}(V15,V16,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1547: exists( #208, #1541 ), references = 1, size of lhs = 24:
% 198.40/198.61 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V7,V1), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V1), P_implies-{F}(V12,V13,V1), V13 == V12, P_implies-{F}(V13,V12,V0), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1548: exists( #208, #1542 ), references = 1, size of lhs = 26:
% 198.40/198.61 pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V0), P_implies-{F}(V7,V8,V0), P_implies-{F}(V8,V7,V1), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V1), P_implies-{F}(V12,V13,V1), P_implies-{F}(V13,V12,V14), P_implies-{F}(V15,V16,V1), V16 == V15, P_implies-{F}(V16,V15,V14), P_implies-{F}(V17,V18,V0), P_implies-{F}(V18,V19,V20), P_implies-{F}(V17,V19,V21), P_implies-{F}(V20,V21,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1549: exists( #208, #1543 ), references = 1, size of lhs = 22:
% 198.40/198.61 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V0), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V4,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V6), P_implies-{F}(V12,V13,V10), V13 == V12, P_implies-{F}(V13,V12,V11), P_implies-{F}(V14,V15,V0), P_implies-{F}(V15,V16,V17), P_implies-{F}(V14,V16,V18), P_implies-{F}(V17,V18,V8) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1556: exists( #205, #1550 ), references = 1, size of lhs = 20:
% 198.40/198.61 pppp16-{F}(), pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V0), V5 == V3, P_and-{F}(V3,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V0), P_implies-{F}(V3,V10,V11), P_implies-{F}(V5,V10,V12), P_implies-{F}(V11,V12,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1557: exists( #205, #1551 ), references = 1, size of lhs = 24:
% 198.40/198.61 pppp16-{F}(), pppp5-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V4), P_implies-{F}(V3,V5,V0), P_and-{F}(V3,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V0), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V0), V14 == V13, P_implies-{F}(V14,V13,V12), P_implies-{F}(V3,V15,V16), P_implies-{F}(V5,V15,V17), P_implies-{F}(V16,V17,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1558: exists( #205, #1552 ), references = 1, size of lhs = 20:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_implies-{F}(V0,V4,V3), P_and-{F}(V0,V5,V4), P_not-{F}(V6,V3), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V3), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_implies-{F}(V0,V12,V13), P_implies-{F}(V4,V12,V14), P_implies-{F}(V13,V14,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1651: exists( #209, #1645 ), references = 1, size of lhs = 19:
% 198.40/198.61 op_or-{F}(), pppp15-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_and-{F}(V7,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V7,V9,V5), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V6), P_implies-{F}(V13,V14,V12), V13 == V14, P_implies-{F}(V14,V13,V11) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1652: exists( #209, #1647 ), references = 1, size of lhs = 21:
% 198.40/198.61 pppp15-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_and-{F}(V7,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V7,V9,V2), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V1), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V0) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1653: exists( #209, #1646 ), references = 2, size of lhs = 23:
% 198.40/198.61 pppp15-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_and-{F}(V7,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V7,V9,V2), P_not-{F}(V10,V11), P_implies-{F}(V12,V10,V1), P_implies-{F}(V13,V14,V1), P_implies-{F}(V14,V13,V15), P_implies-{F}(V16,V17,V1), V17 == V16, P_implies-{F}(V17,V16,V15) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1693: exists( #208, #1687 ), references = 1, size of lhs = 20:
% 198.40/198.61 pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V7,V8,V6), V8 == V7, P_implies-{F}(V8,V7,V9), P_implies-{F}(V9,V5,V10), P_and-{F}(V0,V10,V11), P_not-{F}(V11,V12), P_and-{F}(V13,V3,V14), P_not-{F}(V14,V15), P_implies-{F}(V2,V13,V16), P_implies-{F}(V15,V4,V17), P_implies-{F}(V16,V17,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1694: exists( #208, #1688 ), references = 1, size of lhs = 22:
% 198.40/198.61 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_implies-{F}(V5,V7,V0), V5 == V7, P_equiv-{F}(V5,V7,V8), P_not-{F}(V8,V9), P_and-{F}(V5,V10,V7), P_and-{F}(V11,V3,V12), P_not-{F}(V12,V13), P_implies-{F}(V2,V11,V14), P_implies-{F}(V13,V4,V15), P_implies-{F}(V14,V15,V9) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1695: exists( #208, #1689 ), references = 1, size of lhs = 24:
% 198.40/198.61 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V4), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V6), P_not-{F}(V9,V10), P_equiv-{F}(V9,V11,V8), V9 == V11, P_implies-{F}(V9,V11,V0), P_and-{F}(V9,V12,V11), P_and-{F}(V13,V3,V14), P_not-{F}(V14,V15), P_implies-{F}(V2,V13,V16), P_implies-{F}(V15,V4,V17), P_implies-{F}(V16,V17,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1705: exists( #209, #1699 ), references = 2, size of lhs = 24:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V10), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V6), P_implies-{F}(V14,V15,V12), V15 == V14, P_implies-{F}(V15,V14,V13), P_and-{F}(V16,V9,V17), P_not-{F}(V17,V18), P_implies-{F}(V8,V16,V19), P_implies-{F}(V18,V10,V20), P_not-{F}(V20,V21), P_and-{F}(V19,V21,V5) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1706: exists( #209, #1700 ), references = 1, size of lhs = 25:
% 198.40/198.61 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_not-{F}(V10,V11), P_implies-{F}(V10,V12,V0), V10 == V12, P_equiv-{F}(V10,V12,V5), P_and-{F}(V10,V13,V12), P_and-{F}(V14,V8,V15), P_not-{F}(V15,V16), P_implies-{F}(V7,V14,V17), P_implies-{F}(V16,V9,V18), P_not-{F}(V18,V19), P_and-{F}(V17,V19,V5) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1707: exists( #209, #1701 ), references = 1, size of lhs = 25:
% 198.40/198.61 pppp17-{F}(), pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_not-{F}(V10,V11), P_equiv-{F}(V10,V12,V5), V10 == V12, P_implies-{F}(V10,V12,V0), P_and-{F}(V10,V13,V12), P_and-{F}(V14,V8,V15), P_not-{F}(V15,V16), P_implies-{F}(V7,V14,V17), P_implies-{F}(V16,V9,V18), P_not-{F}(V18,V19), P_and-{F}(V17,V19,V5) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1768: mergings( V5 == V9, V7 == V8, V8 == V10; #1763 ), references = 1, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V5,V0), P_not-{F}(V6,V5), P_and-{F}(V5,V3,V7), P_implies-{F}(V8,V9,V3), V9 == V8, P_implies-{F}(V9,V8,V5), P_or-{F}(V10,V11,V0), P_or-{F}(V11,V10,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1772: mergings( V5 == V9, V7 == V8, V8 == V10; #1764 ), references = 1, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V5,V0), P_not-{F}(V6,V5), P_and-{F}(V5,V3,V7), P_implies-{F}(V8,V9,V3), V9 == V8, P_implies-{F}(V9,V8,V5), P_or-{F}(V10,V11,V0), P_or-{F}(V11,V10,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1820: mergings( V5 == V9, V7 == V8, V8 == V10; #1816 ), references = 1, size of lhs = 18:
% 198.40/198.61 op_or-{F}(), pppp8-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V2,V5,V0), P_not-{F}(V6,V5), P_and-{F}(V5,V3,V7), P_implies-{F}(V8,V9,V3), V9 == V8, P_implies-{F}(V9,V8,V5), P_and-{F}(V0,V10,V11), P_implies-{F}(V10,V11,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1910: exists( #209, #1903 ), references = 2, size of lhs = 24:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V6), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_not-{F}(V12,V13), P_and-{F}(V14,V13,V5), P_implies-{F}(V15,V16,V14), P_and-{F}(V16,V17,V18), P_not-{F}(V18,V19), P_and-{F}(V17,V15,V20), P_not-{F}(V20,V21), P_implies-{F}(V19,V21,V12) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1911: exists( #209, #1904 ), references = 1, size of lhs = 28:
% 198.40/198.61 pppp17-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_and-{F}(V0,V1,V2), P_not-{F}(V3,V4), P_and-{F}(V4,V5,V2), P_not-{F}(V6,V5), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V1), P_implies-{F}(V10,V11,V1), P_implies-{F}(V11,V10,V12), P_implies-{F}(V13,V14,V1), V14 == V13, P_implies-{F}(V14,V13,V12), P_not-{F}(V15,V16), P_and-{F}(V17,V16,V2), P_implies-{F}(V18,V19,V17), P_and-{F}(V19,V20,V21), P_not-{F}(V21,V22), P_and-{F}(V20,V18,V23), P_not-{F}(V23,V24), P_implies-{F}(V22,V24,V15) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1915: mergings( V3 == V7, V7 == V6, V6 == V8; #1909 ), references = 1, size of lhs = 21:
% 198.40/198.61 pppp17-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp20-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_and-{F}(V1,V1,V4), P_not-{F}(V5,V1), P_equiv-{F}(V6,V7,V5), V6 == V7, P_not-{F}(V8,V9), P_and-{F}(V10,V9,V4), P_implies-{F}(V11,V12,V10), P_and-{F}(V12,V13,V14), P_not-{F}(V14,V15), P_and-{F}(V13,V11,V16), P_not-{F}(V16,V17), P_implies-{F}(V15,V17,V8) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1947: exists( #206, #1943 ), references = 1, size of lhs = 23:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V8,V9,V0), P_implies-{F}(V10,V7,V11), P_and-{F}(V9,V10,V12), P_not-{F}(V12,V13), P_implies-{F}(V13,V11,V6), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V4), P_implies-{F}(V17,V18,V15), V18 == V17, P_implies-{F}(V18,V17,V16) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1954: mergings( V5 == V8, V10 == V11, V11 == V6; #1950 ), references = 2, size of lhs = 22:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V4,V3,V0), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_and-{F}(V3,V5,V7), P_not-{F}(V8,V9), P_implies-{F}(V9,V10,V0), P_implies-{F}(V11,V8,V12), P_and-{F}(V10,V11,V13), P_not-{F}(V13,V14), P_implies-{F}(V14,V12,V7), P_implies-{F}(V15,V16,V5), V16 == V15, P_implies-{F}(V16,V15,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #1995: exists( #208, #1990 ), references = 1, size of lhs = 23:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_implies-{F}(V3,V1,V0), P_not-{F}(V4,V5), P_implies-{F}(V6,V5,V0), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_and-{F}(V5,V7,V9), P_not-{F}(V10,V11), P_implies-{F}(V11,V12,V0), P_implies-{F}(V13,V10,V14), P_and-{F}(V12,V13,V15), P_not-{F}(V15,V16), P_implies-{F}(V16,V14,V9), P_implies-{F}(V17,V18,V7), V18 == V17, P_implies-{F}(V18,V17,V5) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2000: mergings( V7 == V9; #1998 ), references = 1, size of lhs = 27:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_not-{F}(V1,V2), P_not-{F}(V3,V2), P_not-{F}(V4,V1), P_not-{F}(V5,V6), P_not-{F}(V7,V6), P_not-{F}(V8,V7), P_and-{F}(V7,V2,V9), P_implies-{F}(V10,V4,V11), P_and-{F}(V7,V10,V12), P_not-{F}(V12,V13), P_implies-{F}(V13,V11,V9), P_implies-{F}(V14,V15,V2), V15 == V14, P_implies-{F}(V15,V14,V7), P_implies-{F}(V16,V17,V1), P_and-{F}(V17,V18,V19), P_not-{F}(V19,V20), P_and-{F}(V18,V16,V21), P_not-{F}(V21,V22), P_implies-{F}(V20,V22,V7) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2094: mergings( V12 == V14; #2090 ), references = 1, size of lhs = 28:
% 198.40/198.61 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_implies-{F}(V9,V10,V0), P_not-{F}(V10,V11), P_and-{F}(V11,V9,V5), P_not-{F}(V12,V11), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V13,V1), P_not-{F}(V15,V16), P_implies-{F}(V17,V15,V1), P_implies-{F}(V18,V19,V1), P_implies-{F}(V19,V18,V20), P_implies-{F}(V21,V22,V1), V22 == V21, P_implies-{F}(V22,V21,V20) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2096: mergings( V12 == V14; #2091 ), references = 1, size of lhs = 28:
% 198.40/198.61 pppp23-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V0), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_not-{F}(V5,V4), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V9), P_implies-{F}(V9,V10,V0), P_not-{F}(V10,V11), P_and-{F}(V11,V9,V5), P_not-{F}(V12,V11), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V13,V1), P_not-{F}(V15,V16), P_implies-{F}(V17,V15,V1), P_implies-{F}(V18,V19,V1), P_implies-{F}(V19,V18,V20), P_implies-{F}(V21,V22,V1), V22 == V21, P_implies-{F}(V22,V21,V20) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2098: mergings( V8 == V10; #2092 ), references = 1, size of lhs = 24:
% 198.40/198.61 op_or-{F}(), pppp23-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V5), P_implies-{F}(V5,V6,V0), P_not-{F}(V6,V7), P_not-{F}(V8,V7), P_and-{F}(V7,V5,V9), P_not-{F}(V9,V10), P_not-{F}(V10,V11), P_not-{F}(V12,V11), P_implies-{F}(V13,V14,V0), P_implies-{F}(V14,V13,V11), P_not-{F}(V15,V16), P_implies-{F}(V17,V15,V11), P_implies-{F}(V18,V19,V16), V19 == V18, P_implies-{F}(V19,V18,V17) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2170: exists( #206, #2168 ), references = 1, size of lhs = 23:
% 198.40/198.61 op_or-{F}(), pppp17-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V2,V4), P_not-{F}(V5,V4), P_not-{F}(V6,V4), P_not-{F}(V7,V8), P_implies-{F}(V9,V7,V4), P_implies-{F}(V10,V11,V8), V11 == V10, P_implies-{F}(V11,V10,V9), P_implies-{F}(V12,V13,V0), P_and-{F}(V13,V14,V15), P_not-{F}(V15,V16), P_and-{F}(V14,V12,V17), P_not-{F}(V17,V18), P_implies-{F}(V16,V18,V6) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2212: exists( #205, #2208 ), references = 1, size of lhs = 4:
% 198.40/198.61 pppp16-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_and-{F}(V2,V3,V0) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2365: exists( #209, #2360 ), references = 1, size of lhs = 27:
% 198.40/198.61 pppp16-{F}(), pppp15-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_and-{F}(V4,V4,V5), P_and-{F}(V4,V6,V0), P_not-{F}(V7,V8), P_and-{F}(V8,V9,V5), P_not-{F}(V10,V9), P_and-{F}(V11,V11,V12), P_not-{F}(V12,V13), P_and-{F}(V11,V13,V5), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V4), P_implies-{F}(V17,V18,V4), P_implies-{F}(V18,V17,V19), P_implies-{F}(V20,V21,V4), V21 == V20, P_implies-{F}(V21,V20,V19) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2366: exists( #209, #2359 ), references = 1, size of lhs = 20:
% 198.40/198.61 pppp16-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_not-{F}(V2,V3), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_and-{F}(V3,V6,V0), P_not-{F}(V7,V8), P_implies-{F}(V9,V10,V8), P_implies-{F}(V10,V9,V11), P_implies-{F}(V12,V13,V8), V13 == V12, P_implies-{F}(V13,V12,V11) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2367: exists( #209, #2361 ), references = 1, size of lhs = 27:
% 198.40/198.61 pppp16-{F}(), pppp20-{F}(), op_or-{F}(), pppp9-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), is_a_theorem-{F}(V3), P_not-{F}(V4,V3), P_implies-{F}(V5,V4,V2), P_not-{F}(V5,V6), P_implies-{F}(V6,V5,V7), P_not-{F}(V7,V8), P_not-{F}(V9,V8), P_not-{F}(V10,V7), P_not-{F}(V11,V6), P_and-{F}(V7,V12,V0), P_not-{F}(V13,V14), P_implies-{F}(V15,V16,V14), P_implies-{F}(V16,V15,V17), P_implies-{F}(V18,V19,V14), V19 == V18, P_implies-{F}(V19,V18,V17) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2481: exists( #205, #2479 ), references = 1, size of lhs = 9:
% 198.40/198.61 pppp17-{F}(), pppp32-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V3,V4,V0), P_and-{F}(V4,V5,V6), P_not-{F}(V6,V7), P_and-{F}(V5,V3,V8), P_not-{F}(V8,V9), P_implies-{F}(V7,V9,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2527: exists( #205, #2525 ), references = 2, size of lhs = 5:
% 198.40/198.61 pppp16-{F}(), pppp52-{F}(V0,V1), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_and-{F}(V3,V4,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2531: exists( #205, #2529 ), references = 1, size of lhs = 7:
% 198.40/198.61 op_equiv-{F}(), pppp16-{F}(), pppp52-{F}(V0,V1), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_equiv-{F}(V4,V5,V2), P_implies-{F}(V4,V5,V3) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2533: exists( #206, #2530 ), references = 1, size of lhs = 4:
% 198.40/198.61 op_equiv-{F}(), pppp16-{F}(), pppp52-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2535: exists( #205, #2532 ), references = 1, size of lhs = 3:
% 198.40/198.61 op_equiv-{F}(), pppp16-{F}(), pppp52-{F}(V0,V1) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2537: exists( #94, #2534 ), references = 1, size of lhs = 3:
% 198.40/198.61 op_equiv-{F}(), pppp16-{F}(), pppp53-{F}(V0) | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2539: exists( #93, #2536 ), references = 1, size of lhs = 3:
% 198.40/198.61 pppp93-{F}(), op_equiv-{F}(), pppp16-{F}() | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2541: disj( #92, exists( #93, #2536 ) ), references = 1, size of lhs = 2:
% 198.40/198.61 op_equiv-{F}(), pppp16-{F}() | pppp12-{T}()
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 #2547: #195+#198+#116+#2540+#90+#204, references = 1, size of lhs = 0:
% 198.40/198.61 FALSE | FALSE
% 198.40/198.61 (used 0 times, uses = {})
% 198.40/198.61
% 198.40/198.61 number of learnt formulas = 117
% 198.40/198.61
% 198.40/198.61
% 198.40/198.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 198.40/198.61
% 198.40/198.61 randbase = 1
%------------------------------------------------------------------------------