%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LCL536+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:06:24 PM UTC 2026
% Result : Theorem 77.44s 77.80s
% Output : Refutation 77.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL536+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 02:50:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 77.44/77.80 GeoParameters:
% 77.44/77.80
% 77.44/77.80 tptp_input = 1
% 77.44/77.80 tptp_output = 0
% 77.44/77.80 nonempty = 1
% 77.44/77.80 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.44/77.80 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 77.44/77.80
% 77.44/77.80
% 77.44/77.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.44/77.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.44/77.80
% 77.44/77.80 RuleSystem INPUT:
% 77.44/77.80
% 77.44/77.80 Initial Rules:
% 77.44/77.80 #0: input, references = 3, size of lhs = 1:
% 77.44/77.80 modus_ponens-{F}() | pppp0-{T}()
% 77.44/77.80 (used 0 times, uses = {})
% 77.44/77.80
% 77.44/77.80 #1: input, references = 3, size of lhs = 1:
% 77.44/77.80 pppp0-{F}() | modus_ponens-{T}()
% 77.44/77.80 (used 0 times, uses = {})
% 77.44/77.80
% 77.44/77.80 #2: input, references = 7, size of lhs = 4:
% 77.44/77.80 pppp0-{F}(), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2) | is_a_theorem-{T}(V0)
% 77.44/77.80 (used 0 times, uses = {})
% 77.44/77.80
% 77.44/77.80 #3: input, references = 3, size of lhs = 0:
% 77.44/77.80 FALSE | pppp0-{T}(), pppp143-{T}()
% 77.44/77.80 (used 0 times, uses = {})
% 77.44/77.80
% 77.44/77.80 #4: input, references = 3, size of lhs = 1:
% 77.44/77.80 pppp143-{F}() | EXISTS V0: pppp50-{T}(V0)
% 77.44/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #5: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp50-{F}(V0) | EXISTS V1: pppp49-{T}(V1,V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #6: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp50-{F}(V0), is_a_theorem-{F}(V0) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #7: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp49-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #8: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp49-{F}(V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #9: input, references = 3, size of lhs = 1:
% 77.54/77.80 substitution_of_equivalents-{F}() | pppp1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #10: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp1-{F}() | substitution_of_equivalents-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #11: input, references = 8, size of lhs = 4:
% 77.54/77.80 pppp1-{F}(), P_equiv-{F}(V0,V1,V2), is_a_theorem-{F}(V2), V0 == V1 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #12: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp1-{T}(), pppp144-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #13: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp144-{F}() | EXISTS V0: pppp52-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #14: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp52-{F}(V0) | EXISTS V1: pppp51-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #15: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp51-{F}(V1,V1), P_equiv-{F}(V1,V1,V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #16: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp51-{F}(V0,V1), P_equiv-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #17: input, references = 3, size of lhs = 1:
% 77.54/77.80 modus_tollens-{F}() | pppp2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #18: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp2-{F}() | modus_tollens-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #19: input, references = 3, size of lhs = 6:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #20: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp2-{T}(), pppp145-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #21: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp145-{F}() | EXISTS V0: pppp54-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #22: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp54-{F}(V0) | EXISTS V1: pppp53-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #23: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp53-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #24: input, references = 3, size of lhs = 1:
% 77.54/77.80 implies_1-{F}() | pppp3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #25: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp3-{F}() | implies_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #26: input, references = 7, size of lhs = 3:
% 77.54/77.80 pppp3-{F}(), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #27: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp3-{T}(), pppp146-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #28: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp146-{F}() | EXISTS V0: pppp56-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #29: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp56-{F}(V0) | EXISTS V1: pppp55-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #30: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp55-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #31: input, references = 3, size of lhs = 1:
% 77.54/77.80 implies_2-{F}() | pppp4-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #32: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp4-{F}() | implies_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #33: input, references = 5, size of lhs = 4:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #34: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp4-{T}(), pppp147-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #35: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp147-{F}() | EXISTS V0: pppp58-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #36: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp58-{F}(V0) | EXISTS V1: pppp57-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #37: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp57-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #38: input, references = 3, size of lhs = 1:
% 77.54/77.80 implies_3-{F}() | pppp5-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #39: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp5-{F}() | implies_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #40: input, references = 8, size of lhs = 6:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #41: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp5-{T}(), pppp148-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #42: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp148-{F}() | EXISTS V0: pppp61-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #43: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp61-{F}(V0) | EXISTS V1: pppp60-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #44: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp60-{F}(V0,V1) | EXISTS V2: pppp59-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #45: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp59-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #46: input, references = 3, size of lhs = 1:
% 77.54/77.80 and_1-{F}() | pppp6-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #47: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp6-{F}() | and_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #48: input, references = 7, size of lhs = 3:
% 77.54/77.80 pppp6-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #49: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp6-{T}(), pppp149-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #50: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp149-{F}() | EXISTS V0: pppp63-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #51: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp63-{F}(V0) | EXISTS V1: pppp62-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #52: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp62-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #53: input, references = 3, size of lhs = 1:
% 77.54/77.80 and_2-{F}() | pppp7-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #54: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp7-{F}() | and_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #55: input, references = 5, size of lhs = 3:
% 77.54/77.80 pppp7-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #56: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp7-{T}(), pppp150-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #57: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp150-{F}() | EXISTS V0: pppp65-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #58: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp65-{F}(V0) | EXISTS V1: pppp64-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #59: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp64-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V1,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #60: input, references = 3, size of lhs = 1:
% 77.54/77.80 and_3-{F}() | pppp8-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #61: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp8-{F}() | and_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #62: input, references = 8, size of lhs = 4:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #63: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp8-{T}(), pppp151-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #64: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp151-{F}() | EXISTS V0: pppp67-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #65: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp67-{F}(V0) | EXISTS V1: pppp66-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #66: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp66-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #67: input, references = 3, size of lhs = 1:
% 77.54/77.80 or_1-{F}() | pppp9-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #68: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp9-{F}() | or_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #69: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp9-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #70: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp9-{T}(), pppp152-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #71: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp152-{F}() | EXISTS V0: pppp69-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #72: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp69-{F}(V0) | EXISTS V1: pppp68-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #73: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp68-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #74: input, references = 3, size of lhs = 1:
% 77.54/77.80 or_2-{F}() | pppp10-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #75: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp10-{F}() | or_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #76: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp10-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #77: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp10-{T}(), pppp153-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #78: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp153-{F}() | EXISTS V0: pppp71-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #79: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp71-{F}(V0) | EXISTS V1: pppp70-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #80: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp70-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #81: input, references = 3, size of lhs = 1:
% 77.54/77.80 or_3-{F}() | pppp11-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #82: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp11-{F}() | or_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #83: input, references = 3, size of lhs = 7:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #84: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp11-{T}(), pppp154-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #85: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp154-{F}() | EXISTS V0: pppp74-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #86: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp74-{F}(V0) | EXISTS V1: pppp73-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #87: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp73-{F}(V0,V1) | EXISTS V2: pppp72-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #88: input, references = 3, size of lhs = 8:
% 77.54/77.80 pppp72-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #89: input, references = 3, size of lhs = 1:
% 77.54/77.80 equivalence_1-{F}() | pppp12-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #90: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp12-{F}() | equivalence_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #91: input, references = 5, size of lhs = 4:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #92: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp12-{T}(), pppp155-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #93: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp155-{F}() | EXISTS V0: pppp76-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #94: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp76-{F}(V0) | EXISTS V1: pppp75-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #95: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp75-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #96: input, references = 3, size of lhs = 1:
% 77.54/77.80 equivalence_2-{F}() | pppp13-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #97: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp13-{F}() | equivalence_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #98: input, references = 5, size of lhs = 4:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #99: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp13-{T}(), pppp156-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #100: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp156-{F}() | EXISTS V0: pppp78-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #101: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp78-{F}(V0) | EXISTS V1: pppp77-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #102: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp77-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #103: input, references = 3, size of lhs = 1:
% 77.54/77.80 equivalence_3-{F}() | pppp14-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #104: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp14-{F}() | equivalence_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #105: input, references = 3, size of lhs = 6:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #106: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp14-{T}(), pppp157-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #107: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp157-{F}() | EXISTS V0: pppp80-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #108: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp80-{F}(V0) | EXISTS V1: pppp79-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #109: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp79-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #110: input, references = 3, size of lhs = 1:
% 77.54/77.80 kn1-{F}() | pppp15-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #111: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp15-{F}() | kn1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #112: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp15-{F}(), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #113: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp15-{T}(), pppp158-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #114: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp158-{F}() | EXISTS V0: pppp81-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #115: input, references = 6, size of lhs = 4:
% 77.54/77.80 pppp81-{F}(V0), P_and-{F}(V0,V0,V1), P_implies-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #116: input, references = 3, size of lhs = 1:
% 77.54/77.80 kn2-{F}() | pppp16-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #117: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp16-{F}() | kn2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #118: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp16-{F}(), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #119: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp16-{T}(), pppp159-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #120: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp159-{F}() | EXISTS V0: pppp83-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #121: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp83-{F}(V0) | EXISTS V1: pppp82-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #122: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp82-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #123: input, references = 3, size of lhs = 1:
% 77.54/77.80 kn3-{F}() | pppp17-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #124: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp17-{F}() | kn3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #125: input, references = 3, size of lhs = 8:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #126: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp17-{T}(), pppp160-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #127: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp160-{F}() | EXISTS V0: pppp86-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #128: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp86-{F}(V0) | EXISTS V1: pppp85-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #129: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp85-{F}(V0,V1) | EXISTS V2: pppp84-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #130: input, references = 3, size of lhs = 9:
% 77.54/77.80 pppp84-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #131: input, references = 3, size of lhs = 1:
% 77.54/77.80 cn1-{F}() | pppp18-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #132: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp18-{F}() | cn1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #133: input, references = 3, size of lhs = 6:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #134: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp18-{T}(), pppp161-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #135: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp161-{F}() | EXISTS V0: pppp89-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #136: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp89-{F}(V0) | EXISTS V1: pppp88-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #137: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp88-{F}(V0,V1) | EXISTS V2: pppp87-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #138: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp87-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #139: input, references = 3, size of lhs = 1:
% 77.54/77.80 cn2-{F}() | pppp19-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #140: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp19-{F}() | cn2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #141: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp19-{F}(), P_not-{F}(V0,V2), P_implies-{F}(V2,V1,V3), P_implies-{F}(V0,V3,V4) | is_a_theorem-{T}(V4)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #142: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp19-{T}(), pppp162-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #143: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp162-{F}() | EXISTS V0: pppp91-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #144: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp91-{F}(V0) | EXISTS V1: pppp90-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #145: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp90-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #146: input, references = 3, size of lhs = 1:
% 77.54/77.80 cn3-{F}() | pppp20-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #147: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp20-{F}() | cn3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #148: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp20-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #149: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp20-{T}(), pppp163-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #150: input, references = 4, size of lhs = 1:
% 77.54/77.80 pppp163-{F}() | EXISTS V0: pppp92-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #151: input, references = 10, size of lhs = 5:
% 77.54/77.80 pppp92-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #152: input, references = 3, size of lhs = 1:
% 77.54/77.80 r1-{F}() | pppp21-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #153: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp21-{F}() | r1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #154: input, references = 4, size of lhs = 3:
% 77.54/77.80 pppp21-{F}(), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #155: input, references = 4, size of lhs = 0:
% 77.54/77.80 FALSE | pppp21-{T}(), pppp164-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #156: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp164-{F}() | EXISTS V0: pppp93-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #157: input, references = 7, size of lhs = 4:
% 77.54/77.80 pppp93-{F}(V0), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #158: input, references = 3, size of lhs = 1:
% 77.54/77.80 r2-{F}() | pppp22-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #159: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp22-{F}() | r2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #160: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp22-{F}(), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #161: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp22-{T}(), pppp165-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #162: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp165-{F}() | EXISTS V0: pppp95-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #163: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp95-{F}(V0) | EXISTS V1: pppp94-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #164: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp94-{F}(V0,V1), P_or-{F}(V0,V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #165: input, references = 3, size of lhs = 1:
% 77.54/77.80 r3-{F}() | pppp23-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #166: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp23-{F}() | r3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #167: input, references = 3, size of lhs = 4:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #168: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp23-{T}(), pppp166-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #169: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp166-{F}() | EXISTS V0: pppp97-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #170: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp97-{F}(V0) | EXISTS V1: pppp96-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #171: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp96-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #172: input, references = 3, size of lhs = 1:
% 77.54/77.80 r4-{F}() | pppp24-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #173: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp24-{F}() | r4-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #174: input, references = 3, size of lhs = 6:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #175: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp24-{T}(), pppp167-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #176: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp167-{F}() | EXISTS V0: pppp100-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #177: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp100-{F}(V0) | EXISTS V1: pppp99-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #178: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp99-{F}(V0,V1) | EXISTS V2: pppp98-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #179: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp98-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #180: input, references = 3, size of lhs = 1:
% 77.54/77.80 r5-{F}() | pppp25-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #181: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp25-{F}() | r5-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #182: input, references = 3, size of lhs = 6:
% 77.54/77.80 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)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #183: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp25-{T}(), pppp168-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #184: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp168-{F}() | EXISTS V0: pppp103-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #185: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp103-{F}(V0) | EXISTS V1: pppp102-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #186: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp102-{F}(V0,V1) | EXISTS V2: pppp101-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #187: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp101-{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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #188: input, references = 5, size of lhs = 7:
% 77.54/77.80 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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #189: input, references = 3, size of lhs = 7:
% 77.54/77.80 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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #190: input, references = 7, size of lhs = 6:
% 77.54/77.80 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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #191: input, references = 3, size of lhs = 5:
% 77.54/77.80 op_implies_or-{F}(), P_implies-{F}(V0,V1,V2), P_not-{F}(V0,V3), P_or-{F}(V3,V1,V4), V2 == V4 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #192: input, references = 5, size of lhs = 6:
% 77.54/77.80 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
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #193: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_or-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #194: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_implies_and-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #195: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_equiv-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #196: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | modus_ponens-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #197: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | modus_tollens-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #198: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | implies_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #199: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | implies_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #200: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | implies_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #201: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | and_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #202: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | and_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #203: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | and_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #204: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | or_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #205: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | or_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #206: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | or_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #207: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | equivalence_1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #208: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | equivalence_2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #209: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | equivalence_3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #210: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | substitution_of_equivalents-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #211: input, references = 4, size of lhs = 1:
% 77.54/77.80 necessitation-{F}() | pppp26-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #212: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp26-{F}() | necessitation-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #213: input, references = 8, size of lhs = 3:
% 77.54/77.80 pppp26-{F}(), P_necessarily-{F}(V0,V1), is_a_theorem-{F}(V0) | is_a_theorem-{T}(V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #214: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp26-{T}(), pppp169-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #215: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp169-{F}() | EXISTS V0: pppp104-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #216: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp104-{F}(V0), P_necessarily-{F}(V0,V1), is_a_theorem-{F}(V1) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #217: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp104-{F}(V0), P_necessarily-{F}(V0,V1) | is_a_theorem-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #218: input, references = 3, size of lhs = 1:
% 77.54/77.80 modus_ponens_strict_implies-{F}() | pppp27-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #219: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp27-{F}() | modus_ponens_strict_implies-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #220: input, references = 6, size of lhs = 4:
% 77.54/77.80 pppp27-{F}(), P_strict_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V1), is_a_theorem-{F}(V2) | is_a_theorem-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #221: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp27-{T}(), pppp170-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #222: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp170-{F}() | EXISTS V0: pppp106-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #223: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp106-{F}(V0) | EXISTS V1: pppp105-{T}(V1,V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #224: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp106-{F}(V0), is_a_theorem-{F}(V0) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #225: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp105-{F}(V0,V1), P_strict_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #226: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp105-{F}(V0,V1), P_strict_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #227: input, references = 3, size of lhs = 1:
% 77.54/77.80 adjunction-{F}() | pppp28-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #228: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp28-{F}() | adjunction-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #229: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp28-{F}(), is_a_theorem-{F}(V0), P_and-{F}(V1,V0,V2), is_a_theorem-{F}(V1) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #230: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp28-{T}(), pppp171-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #231: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp171-{F}() | EXISTS V0: pppp108-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #232: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp108-{F}(V0) | EXISTS V1: pppp107-{T}(V1,V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #233: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp108-{F}(V0) | is_a_theorem-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #234: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp107-{F}(V0,V1), P_and-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #235: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp107-{F}(V0,V1), P_and-{F}(V0,V1,V2) | is_a_theorem-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #236: input, references = 3, size of lhs = 1:
% 77.54/77.80 substitution_strict_equiv-{F}() | pppp29-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #237: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp29-{F}() | substitution_strict_equiv-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #238: input, references = 4, size of lhs = 4:
% 77.54/77.80 pppp29-{F}(), P_strict_equiv-{F}(V0,V1,V2), is_a_theorem-{F}(V2), V0 == V1 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #239: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp29-{T}(), pppp172-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #240: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp172-{F}() | EXISTS V0: pppp110-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #241: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp110-{F}(V0) | EXISTS V1: pppp109-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #242: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp109-{F}(V1,V1), P_strict_equiv-{F}(V1,V1,V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #243: input, references = 3, size of lhs = 2:
% 77.54/77.80 pppp109-{F}(V0,V1), P_strict_equiv-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #244: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_K-{F}() | pppp30-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #245: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp30-{F}() | axiom_K-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #246: input, references = 5, size of lhs = 7:
% 77.54/77.80 pppp30-{F}(), P_implies-{F}(V0,V1,V2), P_necessarily-{F}(V2,V3), P_necessarily-{F}(V0,V4), P_necessarily-{F}(V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #247: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp30-{T}(), pppp173-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #248: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp173-{F}() | EXISTS V0: pppp112-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #249: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp112-{F}(V0) | EXISTS V1: pppp111-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #250: input, references = 3, size of lhs = 8:
% 77.54/77.80 pppp111-{F}(V0,V1), P_implies-{F}(V0,V1,V2), P_necessarily-{F}(V2,V3), P_necessarily-{F}(V0,V4), P_necessarily-{F}(V1,V5), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #251: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_M-{F}() | pppp31-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #252: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp31-{F}() | axiom_M-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #253: input, references = 4, size of lhs = 3:
% 77.54/77.80 pppp31-{F}(), P_necessarily-{F}(V0,V1), P_implies-{F}(V1,V0,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #254: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp31-{T}(), pppp174-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #255: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp174-{F}() | EXISTS V0: pppp113-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #256: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp113-{F}(V0), P_necessarily-{F}(V0,V1), P_implies-{F}(V1,V0,V2), is_a_theorem-{F}(V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #257: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_4-{F}() | pppp32-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #258: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp32-{F}() | axiom_4-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #259: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp32-{F}(), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #260: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp32-{T}(), pppp175-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #261: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp175-{F}() | EXISTS V0: pppp114-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #262: input, references = 4, size of lhs = 5:
% 77.54/77.80 pppp114-{F}(V0), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #263: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_B-{F}() | pppp33-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #264: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp33-{F}() | axiom_B-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #265: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp33-{F}(), P_possibly-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V0,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #266: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp33-{T}(), pppp176-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #267: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp176-{F}() | EXISTS V0: pppp115-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #268: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp115-{F}(V0), P_possibly-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V0,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #269: input, references = 4, size of lhs = 1:
% 77.54/77.80 axiom_5-{F}() | pppp34-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #270: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp34-{F}() | axiom_5-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #271: input, references = 7, size of lhs = 4:
% 77.54/77.80 pppp34-{F}(), P_possibly-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #272: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp34-{T}(), pppp177-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #273: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp177-{F}() | EXISTS V0: pppp116-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #274: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp116-{F}(V0), P_possibly-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #275: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_s1-{F}() | pppp35-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #276: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp35-{F}() | axiom_s1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #277: input, references = 3, size of lhs = 9:
% 77.54/77.80 pppp35-{F}(), P_implies-{F}(V0,V1,V3), P_necessarily-{F}(V3,V4), P_implies-{F}(V1,V2,V5), P_necessarily-{F}(V5,V6), P_and-{F}(V4,V6,V7), P_implies-{F}(V0,V2,V8), P_necessarily-{F}(V8,V9), P_implies-{F}(V7,V9,V10) | is_a_theorem-{T}(V10)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #278: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp35-{T}(), pppp178-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #279: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp178-{F}() | EXISTS V0: pppp119-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #280: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp119-{F}(V0) | EXISTS V1: pppp118-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #281: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp118-{F}(V0,V1) | EXISTS V2: pppp117-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #282: input, references = 3, size of lhs = 10:
% 77.54/77.80 pppp117-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_necessarily-{F}(V3,V4), P_implies-{F}(V1,V2,V5), P_necessarily-{F}(V5,V6), P_and-{F}(V4,V6,V7), P_implies-{F}(V0,V2,V8), P_necessarily-{F}(V8,V9), P_implies-{F}(V7,V9,V10), is_a_theorem-{F}(V10) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #283: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_s2-{F}() | pppp36-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #284: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp36-{F}() | axiom_s2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #285: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp36-{F}(), P_and-{F}(V0,V1,V2), P_possibly-{F}(V2,V3), P_possibly-{F}(V0,V4), P_possibly-{F}(V1,V5), P_and-{F}(V4,V5,V6), P_strict_implies-{F}(V3,V6,V7) | is_a_theorem-{T}(V7)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #286: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp36-{T}(), pppp179-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #287: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp179-{F}() | EXISTS V0: pppp121-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #288: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp121-{F}(V0) | EXISTS V1: pppp120-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #289: input, references = 3, size of lhs = 8:
% 77.54/77.80 pppp120-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_possibly-{F}(V2,V3), P_possibly-{F}(V0,V4), P_possibly-{F}(V1,V5), P_and-{F}(V4,V5,V6), P_strict_implies-{F}(V3,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #290: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_s3-{F}() | pppp37-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #291: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp37-{F}() | axiom_s3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #292: input, references = 3, size of lhs = 8:
% 77.54/77.80 pppp37-{F}(), P_strict_implies-{F}(V0,V1,V2), P_possibly-{F}(V1,V3), P_not-{F}(V3,V4), P_possibly-{F}(V0,V5), P_not-{F}(V5,V6), P_strict_implies-{F}(V4,V6,V7), P_strict_implies-{F}(V2,V7,V8) | is_a_theorem-{T}(V8)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #293: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp37-{T}(), pppp180-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #294: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp180-{F}() | EXISTS V0: pppp123-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #295: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp123-{F}(V0) | EXISTS V1: pppp122-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #296: input, references = 3, size of lhs = 9:
% 77.54/77.80 pppp122-{F}(V0,V1), P_strict_implies-{F}(V0,V1,V2), P_possibly-{F}(V1,V3), P_not-{F}(V3,V4), P_possibly-{F}(V0,V5), P_not-{F}(V5,V6), P_strict_implies-{F}(V4,V6,V7), P_strict_implies-{F}(V2,V7,V8), is_a_theorem-{F}(V8) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #297: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_s4-{F}() | pppp38-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #298: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp38-{F}() | axiom_s4-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #299: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp38-{F}(), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_strict_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #300: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp38-{T}(), pppp181-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #301: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp181-{F}() | EXISTS V0: pppp124-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #302: input, references = 4, size of lhs = 5:
% 77.54/77.80 pppp124-{F}(V0), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_strict_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #303: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m1-{F}() | pppp39-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #304: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp39-{F}() | axiom_m1-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #305: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp39-{F}(), P_and-{F}(V0,V1,V2), P_and-{F}(V1,V0,V3), P_strict_implies-{F}(V2,V3,V4) | is_a_theorem-{T}(V4)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #306: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp39-{T}(), pppp182-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #307: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp182-{F}() | EXISTS V0: pppp126-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #308: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp126-{F}(V0) | EXISTS V1: pppp125-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #309: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp125-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_and-{F}(V1,V0,V3), P_strict_implies-{F}(V2,V3,V4), is_a_theorem-{F}(V4) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #310: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m2-{F}() | pppp40-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #311: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp40-{F}() | axiom_m2-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #312: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp40-{F}(), P_and-{F}(V0,V1,V2), P_strict_implies-{F}(V2,V0,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #313: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp40-{T}(), pppp183-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #314: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp183-{F}() | EXISTS V0: pppp128-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #315: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp128-{F}(V0) | EXISTS V1: pppp127-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #316: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp127-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_strict_implies-{F}(V2,V0,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #317: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m3-{F}() | pppp41-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #318: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp41-{F}() | axiom_m3-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #319: input, references = 3, size of lhs = 6:
% 77.54/77.80 pppp41-{F}(), P_and-{F}(V0,V1,V3), P_and-{F}(V3,V2,V4), P_and-{F}(V1,V2,V5), P_and-{F}(V0,V5,V6), P_strict_implies-{F}(V4,V6,V7) | is_a_theorem-{T}(V7)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #320: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp41-{T}(), pppp184-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #321: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp184-{F}() | EXISTS V0: pppp131-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #322: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp131-{F}(V0) | EXISTS V1: pppp130-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #323: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp130-{F}(V0,V1) | EXISTS V2: pppp129-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #324: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp129-{F}(V0,V1,V2), P_and-{F}(V0,V1,V3), P_and-{F}(V3,V2,V4), P_and-{F}(V1,V2,V5), P_and-{F}(V0,V5,V6), P_strict_implies-{F}(V4,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #325: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m4-{F}() | pppp42-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #326: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp42-{F}() | axiom_m4-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #327: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp42-{F}(), P_and-{F}(V0,V0,V1), P_strict_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #328: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp42-{T}(), pppp185-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #329: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp185-{F}() | EXISTS V0: pppp132-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #330: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp132-{F}(V0), P_and-{F}(V0,V0,V1), P_strict_implies-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #331: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m5-{F}() | pppp43-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #332: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp43-{F}() | axiom_m5-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #333: input, references = 3, size of lhs = 6:
% 77.54/77.80 pppp43-{F}(), P_strict_implies-{F}(V0,V1,V3), P_strict_implies-{F}(V1,V2,V4), P_and-{F}(V3,V4,V5), P_strict_implies-{F}(V0,V2,V6), P_strict_implies-{F}(V5,V6,V7) | is_a_theorem-{T}(V7)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #334: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp43-{T}(), pppp186-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #335: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp186-{F}() | EXISTS V0: pppp135-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #336: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp135-{F}(V0) | EXISTS V1: pppp134-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #337: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp134-{F}(V0,V1) | EXISTS V2: pppp133-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #338: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp133-{F}(V0,V1,V2), P_strict_implies-{F}(V0,V1,V3), P_strict_implies-{F}(V1,V2,V4), P_and-{F}(V3,V4,V5), P_strict_implies-{F}(V0,V2,V6), P_strict_implies-{F}(V5,V6,V7), is_a_theorem-{F}(V7) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #339: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m6-{F}() | pppp44-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #340: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp44-{F}() | axiom_m6-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #341: input, references = 3, size of lhs = 3:
% 77.54/77.80 pppp44-{F}(), P_possibly-{F}(V0,V1), P_strict_implies-{F}(V0,V1,V2) | is_a_theorem-{T}(V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #342: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp44-{T}(), pppp187-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #343: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp187-{F}() | EXISTS V0: pppp136-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #344: input, references = 4, size of lhs = 4:
% 77.54/77.80 pppp136-{F}(V0), P_possibly-{F}(V0,V1), P_strict_implies-{F}(V0,V1,V2), is_a_theorem-{F}(V2) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #345: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m7-{F}() | pppp45-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #346: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp45-{F}() | axiom_m7-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #347: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp45-{F}(), P_and-{F}(V0,V1,V2), P_possibly-{F}(V2,V3), P_strict_implies-{F}(V3,V0,V4) | is_a_theorem-{T}(V4)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #348: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp45-{T}(), pppp188-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #349: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp188-{F}() | EXISTS V0: pppp138-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #350: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp138-{F}(V0) | EXISTS V1: pppp137-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #351: input, references = 3, size of lhs = 5:
% 77.54/77.80 pppp137-{F}(V0,V1), P_and-{F}(V0,V1,V2), P_possibly-{F}(V2,V3), P_strict_implies-{F}(V3,V0,V4), is_a_theorem-{F}(V4) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #352: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m8-{F}() | pppp46-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #353: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp46-{F}() | axiom_m8-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #354: input, references = 3, size of lhs = 6:
% 77.54/77.80 pppp46-{F}(), P_strict_implies-{F}(V0,V1,V2), P_possibly-{F}(V0,V3), P_possibly-{F}(V1,V4), P_strict_implies-{F}(V3,V4,V5), P_strict_implies-{F}(V2,V5,V6) | is_a_theorem-{T}(V6)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #355: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp46-{T}(), pppp189-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #356: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp189-{F}() | EXISTS V0: pppp140-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #357: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp140-{F}(V0) | EXISTS V1: pppp139-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #358: input, references = 3, size of lhs = 7:
% 77.54/77.80 pppp139-{F}(V0,V1), P_strict_implies-{F}(V0,V1,V2), P_possibly-{F}(V0,V3), P_possibly-{F}(V1,V4), P_strict_implies-{F}(V3,V4,V5), P_strict_implies-{F}(V2,V5,V6), is_a_theorem-{F}(V6) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #359: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m9-{F}() | pppp47-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #360: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp47-{F}() | axiom_m9-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #361: input, references = 7, size of lhs = 4:
% 77.54/77.80 pppp47-{F}(), P_possibly-{F}(V0,V1), P_possibly-{F}(V1,V2), P_strict_implies-{F}(V2,V1,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #362: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | pppp47-{T}(), pppp190-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #363: input, references = 3, size of lhs = 1:
% 77.54/77.80 pppp190-{F}() | EXISTS V0: pppp141-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #364: input, references = 4, size of lhs = 5:
% 77.54/77.80 pppp141-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V1,V2), P_strict_implies-{F}(V2,V1,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #365: input, references = 3, size of lhs = 1:
% 77.54/77.80 axiom_m10-{F}() | pppp48-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #366: input, references = 4, size of lhs = 1:
% 77.54/77.80 pppp48-{F}() | axiom_m10-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #367: input, references = 3, size of lhs = 4:
% 77.54/77.80 pppp48-{F}(), P_possibly-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_strict_implies-{F}(V1,V2,V3) | is_a_theorem-{T}(V3)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #368: input, references = 4, size of lhs = 0:
% 77.54/77.80 FALSE | pppp48-{T}(), pppp191-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #369: input, references = 4, size of lhs = 1:
% 77.54/77.80 pppp191-{F}() | EXISTS V0: pppp142-{T}(V0)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #370: input, references = 5, size of lhs = 5:
% 77.54/77.80 pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_strict_implies-{F}(V1,V2,V3), is_a_theorem-{F}(V3) | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #371: input, references = 5, size of lhs = 6:
% 77.54/77.80 op_possibly-{F}(), P_possibly-{F}(V0,V1), P_not-{F}(V0,V2), P_necessarily-{F}(V2,V3), P_not-{F}(V3,V4), V1 == V4 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #372: input, references = 3, size of lhs = 6:
% 77.54/77.80 op_necessarily-{F}(), P_necessarily-{F}(V0,V1), P_not-{F}(V0,V2), P_possibly-{F}(V2,V3), P_not-{F}(V3,V4), V1 == V4 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #373: input, references = 5, size of lhs = 5:
% 77.54/77.80 op_strict_implies-{F}(), P_strict_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_necessarily-{F}(V3,V4), V2 == V4 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #374: input, references = 6, size of lhs = 6:
% 77.54/77.80 op_strict_equiv-{F}(), P_strict_equiv-{F}(V0,V1,V2), P_strict_implies-{F}(V0,V1,V3), P_strict_implies-{F}(V1,V0,V4), P_and-{F}(V3,V4,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #375: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_possibly-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #376: input, references = 4, size of lhs = 0:
% 77.54/77.80 FALSE | necessitation-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #377: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | axiom_K-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #378: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | axiom_M-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #379: input, references = 4, size of lhs = 0:
% 77.54/77.80 FALSE | axiom_5-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #380: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_possibly-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #381: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_or-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #382: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_implies-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #383: input, references = 4, size of lhs = 0:
% 77.54/77.80 FALSE | op_strict_implies-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #384: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_equiv-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #385: input, references = 3, size of lhs = 0:
% 77.54/77.80 FALSE | op_strict_equiv-{T}()
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #386: input, references = 4, size of lhs = 1:
% 77.54/77.80 axiom_m10-{F}() | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #387: input, references = 18, size of lhs = 2:
% 77.54/77.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_implies-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #388: input, references = 7, size of lhs = 2:
% 77.54/77.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_equiv-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #389: input, references = 6, size of lhs = 1:
% 77.54/77.80 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #390: input, references = 12, size of lhs = 2:
% 77.54/77.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_and-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #391: input, references = 15, size of lhs = 2:
% 77.54/77.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #392: input, references = 10, size of lhs = 1:
% 77.54/77.80 #-{F} V0 | EXISTS V1: P_necessarily-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #393: input, references = 12, size of lhs = 2:
% 77.54/77.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_strict_implies-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #394: input, references = 6, size of lhs = 2:
% 77.54/77.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_strict_equiv-{T}(V0,V1,V2)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #395: input, references = 5, size of lhs = 1:
% 77.54/77.80 #-{F} V0 | EXISTS V1: P_possibly-{T}(V0,V1)
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 number of initial rules = 396
% 77.54/77.80
% 77.54/77.80 Simplifiers:
% 77.54/77.80 #396: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #397: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_equiv-{F}(V0,V1,V2), P_equiv-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #398: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #399: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_and-{F}(V0,V1,V2), P_and-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #400: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #401: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_necessarily-{F}(V0,V1), P_necessarily-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #402: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_strict_implies-{F}(V0,V1,V2), P_strict_implies-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #403: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_strict_equiv-{F}(V0,V1,V2), P_strict_equiv-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #404: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 P_possibly-{F}(V0,V1), P_possibly-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #405: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp49-{F}(V0,V1), pppp49-{F}(V2,V1), V0 == V2 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #406: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp49-{F}(V0,V1), pppp49-{F}(V2,V3), V1 == V3 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #407: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp50-{F}(V0), pppp50-{F}(V1), V0 == V1 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #408: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp51-{F}(V0,V1), pppp51-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #409: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp51-{F}(V0,V1), pppp51-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #410: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp52-{F}(V0), pppp52-{F}(V1), V0 == V1 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #411: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp53-{F}(V0,V1), pppp53-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #412: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp53-{F}(V0,V1), pppp53-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.80
% 77.54/77.80 #413: unsound, references = 3, size of lhs = 3:
% 77.54/77.80 pppp54-{F}(V0), pppp54-{F}(V1), V0 == V1 | FALSE
% 77.54/77.80 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #414: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp55-{F}(V0,V1), pppp55-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #415: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp55-{F}(V0,V1), pppp55-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #416: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp56-{F}(V0), pppp56-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #417: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp57-{F}(V0,V1), pppp57-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #418: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp57-{F}(V0,V1), pppp57-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #419: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp58-{F}(V0), pppp58-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #420: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp59-{F}(V0,V1,V2), pppp59-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #421: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp59-{F}(V0,V1,V2), pppp59-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #422: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp59-{F}(V0,V1,V2), pppp59-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #423: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp60-{F}(V0,V1), pppp60-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #424: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp60-{F}(V0,V1), pppp60-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #425: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp61-{F}(V0), pppp61-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #426: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp62-{F}(V0,V1), pppp62-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #427: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp62-{F}(V0,V1), pppp62-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #428: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp63-{F}(V0), pppp63-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #429: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp64-{F}(V0,V1), pppp64-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #430: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp64-{F}(V0,V1), pppp64-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #431: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp65-{F}(V0), pppp65-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #432: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp66-{F}(V0,V1), pppp66-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #433: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp66-{F}(V0,V1), pppp66-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #434: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp67-{F}(V0), pppp67-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #435: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp68-{F}(V0,V1), pppp68-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #436: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp68-{F}(V0,V1), pppp68-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #437: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp69-{F}(V0), pppp69-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #438: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp70-{F}(V0,V1), pppp70-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #439: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp70-{F}(V0,V1), pppp70-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #440: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp71-{F}(V0), pppp71-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #441: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp72-{F}(V0,V1,V2), pppp72-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #442: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp72-{F}(V0,V1,V2), pppp72-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #443: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp72-{F}(V0,V1,V2), pppp72-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #444: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp73-{F}(V0,V1), pppp73-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #445: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp73-{F}(V0,V1), pppp73-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #446: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp74-{F}(V0), pppp74-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #447: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp75-{F}(V0,V1), pppp75-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #448: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp75-{F}(V0,V1), pppp75-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #449: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp76-{F}(V0), pppp76-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #450: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp77-{F}(V0,V1), pppp77-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #451: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp77-{F}(V0,V1), pppp77-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #452: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp78-{F}(V0), pppp78-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #453: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp79-{F}(V0,V1), pppp79-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #454: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp79-{F}(V0,V1), pppp79-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #455: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp80-{F}(V0), pppp80-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #456: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp81-{F}(V0), pppp81-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #457: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp82-{F}(V0,V1), pppp82-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #458: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp82-{F}(V0,V1), pppp82-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #459: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp83-{F}(V0), pppp83-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #460: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp84-{F}(V0,V1,V2), pppp84-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #461: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp84-{F}(V0,V1,V2), pppp84-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #462: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp84-{F}(V0,V1,V2), pppp84-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #463: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp85-{F}(V0,V1), pppp85-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #464: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp85-{F}(V0,V1), pppp85-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #465: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp86-{F}(V0), pppp86-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #466: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp87-{F}(V0,V1,V2), pppp87-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #467: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp87-{F}(V0,V1,V2), pppp87-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #468: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp87-{F}(V0,V1,V2), pppp87-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #469: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp88-{F}(V0,V1), pppp88-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #470: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp88-{F}(V0,V1), pppp88-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #471: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp89-{F}(V0), pppp89-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #472: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp90-{F}(V0,V1), pppp90-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #473: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp90-{F}(V0,V1), pppp90-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #474: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp91-{F}(V0), pppp91-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #475: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp92-{F}(V0), pppp92-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #476: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp93-{F}(V0), pppp93-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #477: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp94-{F}(V0,V1), pppp94-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #478: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp94-{F}(V0,V1), pppp94-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #479: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp95-{F}(V0), pppp95-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #480: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp96-{F}(V0,V1), pppp96-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #481: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp96-{F}(V0,V1), pppp96-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #482: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp97-{F}(V0), pppp97-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #483: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp98-{F}(V0,V1,V2), pppp98-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #484: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp98-{F}(V0,V1,V2), pppp98-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #485: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp98-{F}(V0,V1,V2), pppp98-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #486: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp99-{F}(V0,V1), pppp99-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #487: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp99-{F}(V0,V1), pppp99-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #488: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp100-{F}(V0), pppp100-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #489: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp101-{F}(V0,V1,V2), pppp101-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #490: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp101-{F}(V0,V1,V2), pppp101-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #491: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp101-{F}(V0,V1,V2), pppp101-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #492: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp102-{F}(V0,V1), pppp102-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #493: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp102-{F}(V0,V1), pppp102-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #494: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp103-{F}(V0), pppp103-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #495: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp104-{F}(V0), pppp104-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #496: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp105-{F}(V0,V1), pppp105-{F}(V2,V1), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #497: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp105-{F}(V0,V1), pppp105-{F}(V2,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #498: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp106-{F}(V0), pppp106-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #499: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp107-{F}(V0,V1), pppp107-{F}(V2,V1), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #500: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp107-{F}(V0,V1), pppp107-{F}(V2,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #501: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp108-{F}(V0), pppp108-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #502: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp109-{F}(V0,V1), pppp109-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #503: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp109-{F}(V0,V1), pppp109-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #504: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp110-{F}(V0), pppp110-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #505: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp111-{F}(V0,V1), pppp111-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #506: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp111-{F}(V0,V1), pppp111-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #507: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp112-{F}(V0), pppp112-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #508: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp113-{F}(V0), pppp113-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #509: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp114-{F}(V0), pppp114-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #510: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp115-{F}(V0), pppp115-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #511: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp116-{F}(V0), pppp116-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #512: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp117-{F}(V0,V1,V2), pppp117-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #513: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp117-{F}(V0,V1,V2), pppp117-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #514: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp117-{F}(V0,V1,V2), pppp117-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #515: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp118-{F}(V0,V1), pppp118-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #516: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp118-{F}(V0,V1), pppp118-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #517: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp119-{F}(V0), pppp119-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #518: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp120-{F}(V0,V1), pppp120-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #519: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp120-{F}(V0,V1), pppp120-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #520: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp121-{F}(V0), pppp121-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #521: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp122-{F}(V0,V1), pppp122-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #522: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp122-{F}(V0,V1), pppp122-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #523: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp123-{F}(V0), pppp123-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #524: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp124-{F}(V0), pppp124-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #525: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp125-{F}(V0,V1), pppp125-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #526: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp125-{F}(V0,V1), pppp125-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #527: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp126-{F}(V0), pppp126-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #528: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp127-{F}(V0,V1), pppp127-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #529: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp127-{F}(V0,V1), pppp127-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #530: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp128-{F}(V0), pppp128-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #531: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp129-{F}(V0,V1,V2), pppp129-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #532: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp129-{F}(V0,V1,V2), pppp129-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #533: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp129-{F}(V0,V1,V2), pppp129-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #534: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp130-{F}(V0,V1), pppp130-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #535: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp130-{F}(V0,V1), pppp130-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #536: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp131-{F}(V0), pppp131-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #537: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp132-{F}(V0), pppp132-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #538: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp133-{F}(V0,V1,V2), pppp133-{F}(V0,V1,V5), V2 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #539: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp133-{F}(V0,V1,V2), pppp133-{F}(V0,V4,V5), V1 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #540: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp133-{F}(V0,V1,V2), pppp133-{F}(V3,V4,V5), V0 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #541: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp134-{F}(V0,V1), pppp134-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #542: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp134-{F}(V0,V1), pppp134-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #543: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp135-{F}(V0), pppp135-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #544: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp136-{F}(V0), pppp136-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #545: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp137-{F}(V0,V1), pppp137-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #546: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp137-{F}(V0,V1), pppp137-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #547: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp138-{F}(V0), pppp138-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #548: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp139-{F}(V0,V1), pppp139-{F}(V0,V3), V1 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #549: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp139-{F}(V0,V1), pppp139-{F}(V2,V3), V0 == V2 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #550: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp140-{F}(V0), pppp140-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #551: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp141-{F}(V0), pppp141-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #552: unsound, references = 3, size of lhs = 3:
% 77.54/77.81 pppp142-{F}(V0), pppp142-{F}(V1), V0 == V1 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 number of simplifiers = 157
% 77.54/77.81
% 77.54/77.81 Learnt:
% 77.54/77.81 #554: exists( #394, #374 ), references = 1, size of lhs = 4:
% 77.54/77.81 op_strict_equiv-{F}(), P_strict_implies-{F}(V0,V1,V2), P_strict_implies-{F}(V1,V0,V3), P_and-{F}(V2,V3,V4) | P_strict_equiv-{T}(V0,V1,V4)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #588: exists( #393, #582 ), references = 1, size of lhs = 10:
% 77.54/77.81 pppp47-{F}(), pppp27-{F}(), pppp26-{F}(), is_a_theorem-{F}(V0), pppp81-{F}(V1), P_and-{F}(V1,V1,V2), P_implies-{F}(V1,V2,V3), P_necessarily-{F}(V4,V3), P_possibly-{F}(V4,V0), P_possibly-{F}(V5,V4) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #602: exists( #393, #600 ), references = 1, size of lhs = 8:
% 77.54/77.81 pppp47-{F}(), pppp27-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_possibly-{F}(V1,V0), P_possibly-{F}(V2,V1), P_equiv-{F}(V3,V4,V1), V3 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #606: exists( #393, #373 ), references = 4, size of lhs = 3:
% 77.54/77.81 op_strict_implies-{F}(), P_necessarily-{F}(V0,V1), P_implies-{F}(V2,V3,V0) | P_strict_implies-{T}(V2,V3,V1)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #622: exists( #393, #620 ), references = 1, size of lhs = 10:
% 77.54/77.81 pppp47-{F}(), pppp27-{F}(), pppp26-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_possibly-{F}(V1,V0), P_possibly-{F}(V2,V1), P_necessarily-{F}(V1,V3), P_equiv-{F}(V4,V5,V3), V4 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #629: exists( #393, #625 ), references = 2, size of lhs = 5:
% 77.54/77.81 pppp47-{F}(), pppp136-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V1,V0), P_possibly-{F}(V2,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #631: exists( #390, #192 ), references = 4, size of lhs = 4:
% 77.54/77.81 op_equiv-{F}(), P_equiv-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3), P_implies-{F}(V1,V0,V4) | P_and-{T}(V3,V4,V2)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #636: exists( #388, #192 ), references = 1, size of lhs = 4:
% 77.54/77.81 op_equiv-{F}(), P_implies-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_and-{F}(V2,V3,V4) | P_equiv-{T}(V0,V1,V4)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #647: exists( #389, #371 ), references = 9, size of lhs = 4:
% 77.54/77.81 op_possibly-{F}(), P_possibly-{F}(V0,V1), P_not-{F}(V0,V2), P_necessarily-{F}(V2,V3) | P_not-{T}(V3,V1)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #648: exists( #389, #190 ), references = 15, size of lhs = 4:
% 77.54/77.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V2,V0,V3), P_and-{F}(V2,V1,V4) | P_not-{T}(V4,V3)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #649: exists( #389, #188 ), references = 6, size of lhs = 5:
% 77.54/77.81 op_or-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_and-{F}(V1,V4,V5) | P_not-{T}(V5,V3)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #651: exists( #395, #371 ), references = 4, size of lhs = 4:
% 77.54/77.81 op_possibly-{F}(), P_not-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_not-{F}(V2,V3) | P_possibly-{T}(V0,V3)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #655: exists( #392, #653 ), references = 1, size of lhs = 7:
% 77.54/77.81 op_possibly-{F}(), pppp47-{F}(), pppp136-{F}(V0), P_possibly-{F}(V1,V0), P_not-{F}(V1,V2), P_not-{F}(V0,V2), P_possibly-{F}(V3,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #668: exists( #390, #665 ), references = 2, size of lhs = 8:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V5,V4), P_implies-{F}(V1,V5,V6), V6 == V3 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #669: exists( #390, #664 ), references = 1, size of lhs = 8:
% 77.54/77.81 op_implies_and-{F}(), op_or-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V4), P_implies-{F}(V4,V0,V5), P_or-{F}(V3,V2,V6), V6 == V5 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #672: exists( #387, #666 ), references = 26, size of lhs = 6:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_or-{F}(V0,V2,V3), P_not-{F}(V2,V4), P_not-{F}(V5,V4) | P_implies-{T}(V1,V5,V3)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #675: exists( #387, #190 ), references = 9, size of lhs = 4:
% 77.54/77.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_and-{F}(V2,V1,V3), P_not-{F}(V3,V4) | P_implies-{T}(V2,V0,V4)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #683: exists( #392, #681 ), references = 1, size of lhs = 13:
% 77.54/77.81 op_possibly-{F}(), pppp26-{F}(), op_or-{F}(), op_implies_and-{F}(), op_strict_implies-{F}(), is_a_theorem-{F}(V0), pppp142-{F}(V1), P_possibly-{F}(V1,V0), P_not-{F}(V2,V0), P_not-{F}(V3,V0), P_possibly-{F}(V3,V4), P_not-{F}(V5,V4), P_or-{F}(V2,V5,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #698: exists( #391, #668 ), references = 1, size of lhs = 6:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V3), P_implies-{F}(V1,V4,V5) | P_or-{T}(V0,V2,V5)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #711: exists( #388, #709 ), references = 4, size of lhs = 13:
% 77.54/77.81 op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_not-{F}(V2,V1), P_and-{F}(V0,V3,V2), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V3), P_implies-{F}(V7,V8,V6), V7 == V8, P_implies-{F}(V8,V7,V5) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #722: exists( #390, #720 ), references = 1, size of lhs = 5:
% 77.54/77.81 op_implies_and-{F}(), pppp81-{F}(V0), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_implies-{F}(V0,V1,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #726: exists( #387, #724 ), references = 1, size of lhs = 5:
% 77.54/77.81 pppp3-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V3,V2,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #731: exists( #388, #729 ), references = 3, size of lhs = 15:
% 77.54/77.81 op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_implies-{F}(V0,V2,V1), P_not-{F}(V2,V3), P_implies-{F}(V4,V5,V0), P_implies-{F}(V5,V4,V3), P_not-{F}(V6,V7), P_implies-{F}(V8,V6,V3), P_implies-{F}(V9,V10,V8), V9 == V10, P_implies-{F}(V10,V9,V7) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #740: exists( #390, #738 ), references = 1, size of lhs = 8:
% 77.54/77.81 op_implies_and-{F}(), pppp8-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V1), P_implies-{F}(V1,V1,V2), P_equiv-{F}(V3,V4,V2), V3 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #751: exists( #392, #373 ), references = 5, size of lhs = 3:
% 77.54/77.81 op_strict_implies-{F}(), P_strict_implies-{F}(V0,V1,V2), P_implies-{F}(V0,V1,V3) | P_necessarily-{T}(V3,V2)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #760: exists( #387, #756 ), references = 1, size of lhs = 7:
% 77.54/77.81 pppp5-{F}(), pppp81-{F}(V0), P_and-{F}(V0,V0,V1), P_implies-{F}(V2,V3,V0), P_implies-{F}(V3,V4,V5), P_implies-{F}(V2,V4,V6), P_implies-{F}(V5,V6,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #804: mergings( V4 == V8, V5 == V9; #800 ), references = 2, size of lhs = 18:
% 77.54/77.81 op_or-{F}(), pppp6-{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}(V3,V5,V2), P_not-{F}(V6,V4), P_and-{F}(V2,V4,V7), P_and-{F}(V0,V8,V7), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V8), P_implies-{F}(V12,V13,V10), V13 == V12, P_implies-{F}(V13,V12,V11) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #808: mergings( V4 == V8, V5 == V9, V11 == V13; #801 ), references = 2, size of lhs = 21:
% 77.54/77.81 op_or-{F}(), pppp6-{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}(V3,V5,V2), P_not-{F}(V6,V4), P_and-{F}(V2,V4,V7), P_and-{F}(V0,V8,V7), P_not-{F}(V9,V8), P_implies-{F}(V10,V11,V0), P_implies-{F}(V11,V10,V8), P_not-{F}(V12,V13), P_implies-{F}(V14,V12,V8), P_implies-{F}(V15,V16,V14), V15 == V16, P_implies-{F}(V16,V15,V13) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #822: exists( #390, #818 ), references = 1, size of lhs = 21:
% 77.54/77.81 pppp8-{F}(), op_or-{F}(), pppp6-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_and-{F}(V5,V7,V4), P_not-{F}(V8,V6), P_and-{F}(V4,V6,V9), P_and-{F}(V2,V10,V9), 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
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #823: exists( #390, #819 ), references = 1, size of lhs = 24:
% 77.54/77.81 pppp8-{F}(), op_or-{F}(), pppp6-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V1), P_implies-{F}(V1,V1,V2), P_not-{F}(V3,V4), P_not-{F}(V5,V6), P_and-{F}(V5,V7,V4), P_not-{F}(V8,V6), P_and-{F}(V4,V6,V9), P_and-{F}(V2,V10,V9), P_not-{F}(V11,V10), P_implies-{F}(V12,V13,V2), P_implies-{F}(V13,V12,V10), P_not-{F}(V14,V15), P_implies-{F}(V16,V14,V10), P_implies-{F}(V17,V18,V16), V17 == V18, P_implies-{F}(V18,V17,V15) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #862: exists( #387, #860 ), references = 1, size of lhs = 8:
% 77.54/77.81 pppp5-{F}(), pppp114-{F}(V0), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V3,V4,V1), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V5,V7), P_implies-{F}(V6,V7,V2) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #896: exists( #387, #894 ), references = 1, size of lhs = 6:
% 77.54/77.81 pppp4-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V3,V0,V2), P_implies-{F}(V3,V4,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #958: mergings( V4 == V5; #955 ), references = 2, size of lhs = 9:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp21-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V1,V0,V3), P_or-{F}(V0,V0,V3), P_not-{F}(V4,V3) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #963: exists( #388, #961 ), references = 1, size of lhs = 7:
% 77.54/77.81 op_equiv-{F}(), op_strict_equiv-{F}(), P_implies-{F}(V0,V1,V2), P_implies-{F}(V1,V0,V3), P_strict_implies-{F}(V4,V5,V2), P_strict_implies-{F}(V5,V4,V3), P_strict_equiv-{F}(V4,V5,V6) | P_equiv-{T}(V0,V1,V6)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1088: exists( #390, #1085 ), references = 1, size of lhs = 10:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp21-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V1,V0,V3), P_or-{F}(V0,V0,V3), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V3) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1093: mergings( V2 == V3, V3 == V5; #1090 ), references = 1, size of lhs = 6:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp21-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_not-{F}(V2,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1095: exists( #389, #1090 ), references = 1, size of lhs = 4:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp21-{F}(), pppp92-{F}(V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1097: exists( #150, #1094 ), references = 1, size of lhs = 4:
% 77.54/77.81 pppp163-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp21-{F}() | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1099: disj( #155, exists( #150, #1094 ) ), references = 1, size of lhs = 3:
% 77.54/77.81 pppp163-{F}(), op_or-{F}(), op_implies_and-{F}() | pppp164-{T}()
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1125: mergings( V4 == V8, V5 == V9; #1121 ), references = 1, size of lhs = 21:
% 77.54/77.81 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_and-{F}(V0,V6,V5), P_not-{F}(V7,V4), 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), P_implies-{F}(V13,V14,V2), P_implies-{F}(V14,V15,V16), P_implies-{F}(V13,V15,V17), P_implies-{F}(V16,V17,V7) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1129: mergings( V4 == V10, V5 == V11, V7 == V9; #1122 ), references = 1, size of lhs = 24:
% 77.54/77.81 op_or-{F}(), pppp5-{F}(), op_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V2), P_not-{F}(V3,V4), P_and-{F}(V2,V4,V5), P_not-{F}(V6,V4), P_and-{F}(V0,V7,V5), P_not-{F}(V8,V7), P_implies-{F}(V9,V10,V0), P_implies-{F}(V10,V9,V7), P_not-{F}(V11,V12), P_implies-{F}(V13,V11,V7), P_implies-{F}(V14,V15,V13), V14 == V15, P_implies-{F}(V15,V14,V12), P_implies-{F}(V16,V17,V2), P_implies-{F}(V17,V18,V19), P_implies-{F}(V16,V18,V20), P_implies-{F}(V19,V20,V6) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1148: exists( #390, #374 ), references = 3, size of lhs = 4:
% 77.54/77.81 op_strict_equiv-{F}(), P_strict_equiv-{F}(V0,V1,V2), P_strict_implies-{F}(V0,V1,V3), P_strict_implies-{F}(V1,V0,V4) | P_and-{T}(V3,V4,V2)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1247: exists( #393, #1245 ), references = 4, size of lhs = 8:
% 77.54/77.81 pppp26-{F}(), op_strict_implies-{F}(), is_a_theorem-{F}(V0), pppp142-{F}(V1), P_possibly-{F}(V1,V2), P_necessarily-{F}(V2,V3), P_implies-{F}(V2,V3,V0), P_implies-{F}(V4,V5,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1249: exists( #387, #1246 ), references = 2, size of lhs = 8:
% 77.54/77.81 pppp26-{F}(), op_strict_implies-{F}(), is_a_theorem-{F}(V0), pppp142-{F}(V1), P_possibly-{F}(V1,V2), P_necessarily-{F}(V2,V3), P_implies-{F}(V2,V3,V0), P_implies-{F}(V4,V5,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1254: exists( #393, #1252 ), references = 1, size of lhs = 14:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), is_a_theorem-{F}(V0), pppp142-{F}(V1), P_possibly-{F}(V1,V2), P_not-{F}(V3,V2), P_or-{F}(V3,V4,V0), P_not-{F}(V4,V5), P_possibly-{F}(V6,V5), P_not-{F}(V6,V2), P_implies-{F}(V7,V8,V2) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1260: mergings( V4 == V7, V6 == V8; #1257 ), references = 1, size of lhs = 16:
% 77.54/77.81 pppp4-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_implies-{F}(V7,V6,V1), P_implies-{F}(V7,V8,V6), P_implies-{F}(V9,V10,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1278: exists( #393, #1275 ), references = 3, size of lhs = 7:
% 77.54/77.81 op_strict_implies-{F}(), pppp26-{F}(), is_a_theorem-{F}(V0), pppp124-{F}(V1), P_necessarily-{F}(V1,V2), P_necessarily-{F}(V2,V3), P_implies-{F}(V2,V3,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1281: exists( #387, #1279 ), references = 1, size of lhs = 10:
% 77.54/77.81 pppp5-{F}(), op_strict_implies-{F}(), pppp26-{F}(), pppp124-{F}(V0), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_implies-{F}(V3,V4,V1), P_implies-{F}(V4,V5,V6), P_implies-{F}(V3,V5,V7), P_implies-{F}(V6,V7,V2) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1308: exists( #392, #1303 ), references = 4, size of lhs = 13:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), is_a_theorem-{F}(V0), pppp142-{F}(V1), P_possibly-{F}(V1,V2), P_not-{F}(V3,V2), P_or-{F}(V3,V4,V0), P_not-{F}(V4,V5), P_possibly-{F}(V6,V5), P_not-{F}(V6,V2) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1309: exists( #392, #1304 ), references = 4, size of lhs = 13:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), is_a_theorem-{F}(V0), pppp142-{F}(V1), P_possibly-{F}(V1,V2), P_not-{F}(V3,V2), P_or-{F}(V3,V4,V0), P_not-{F}(V4,V5), P_possibly-{F}(V6,V5), P_not-{F}(V6,V2) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1318: mergings( V4 == V7, V6 == V8; #1314 ), references = 1, size of lhs = 15:
% 77.54/77.81 pppp13-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_equiv-{F}(V7,V8,V1), P_implies-{F}(V8,V7,V6) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1321: mergings( V4 == V7, V6 == V8; #1315 ), references = 1, size of lhs = 15:
% 77.54/77.81 pppp13-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_equiv-{F}(V7,V8,V1), P_implies-{F}(V8,V7,V6) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1335: mergings( V4 == V7, V6 == V8; #1331 ), references = 1, size of lhs = 15:
% 77.54/77.81 pppp12-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_equiv-{F}(V7,V8,V1), P_implies-{F}(V7,V8,V6) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1338: mergings( V4 == V7, V6 == V8; #1332 ), references = 1, size of lhs = 15:
% 77.54/77.81 pppp12-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_equiv-{F}(V7,V8,V1), P_implies-{F}(V7,V8,V6) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1352: mergings( V4 == V7, V6 == V8; #1348 ), references = 1, size of lhs = 14:
% 77.54/77.81 pppp7-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_and-{F}(V7,V6,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1355: mergings( V4 == V7, V6 == V8; #1349 ), references = 1, size of lhs = 14:
% 77.54/77.81 pppp7-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_and-{F}(V7,V6,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1366: mergings( V4 == V7, V6 == V8; #1362 ), references = 1, size of lhs = 14:
% 77.54/77.81 pppp6-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_and-{F}(V6,V7,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1369: mergings( V4 == V7, V6 == V8; #1363 ), references = 1, size of lhs = 14:
% 77.54/77.81 pppp6-{F}(), op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_not-{F}(V2,V1), P_possibly-{F}(V2,V3), P_not-{F}(V4,V1), P_not-{F}(V5,V3), P_not-{F}(V6,V3), P_and-{F}(V6,V7,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1446: exists( #392, #1443 ), references = 1, size of lhs = 16:
% 77.54/77.81 op_possibly-{F}(), op_strict_implies-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp0-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), is_a_theorem-{F}(V2), P_or-{F}(V1,V3,V2), P_not-{F}(V3,V4), P_possibly-{F}(V5,V4), P_not-{F}(V5,V6), pppp141-{F}(V7), P_possibly-{F}(V7,V8), P_possibly-{F}(V8,V9), P_implies-{F}(V9,V8,V6) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1477: exists( #392, #1471 ), references = 1, size of lhs = 13:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp34-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_implies-{F}(V2,V0,V3), P_possibly-{F}(V4,V5), P_not-{F}(V4,V5), P_not-{F}(V6,V5), P_or-{F}(V6,V7,V3), P_not-{F}(V7,V5) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1478: exists( #392, #1472 ), references = 1, size of lhs = 12:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp34-{F}(), pppp93-{F}(V0), P_or-{F}(V0,V0,V1), P_implies-{F}(V1,V0,V2), P_possibly-{F}(V3,V4), P_not-{F}(V3,V4), P_not-{F}(V5,V4), P_or-{F}(V5,V6,V2), P_not-{F}(V6,V4) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1479: exists( #392, #1473 ), references = 1, size of lhs = 13:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V2,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1), P_or-{F}(V3,V4,V5) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1483: exists( #391, #1476 ), references = 1, size of lhs = 12:
% 77.54/77.81 op_possibly-{F}(), op_or-{F}(), op_implies_and-{F}(), pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V2,V1), P_not-{F}(V2,V1), P_not-{F}(V3,V1), P_not-{F}(V4,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1507: exists( #387, #1503 ), references = 1, size of lhs = 7:
% 77.54/77.81 pppp31-{F}(), op_strict_implies-{F}(), pppp26-{F}(), pppp124-{F}(V0), P_necessarily-{F}(V0,V1), P_necessarily-{F}(V1,V2), P_necessarily-{F}(V2,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1532: mergings( V3 == V4, V5 == V6; #1528 ), references = 2, size of lhs = 13:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp3-{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}(V5,V0,V4), P_not-{F}(V6,V3), P_equiv-{F}(V7,V8,V6), V7 == V8 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1550: exists( #387, #1545 ), references = 1, size of lhs = 8:
% 77.54/77.81 pppp30-{F}(), pppp93-{F}(V0), P_or-{F}(V0,V0,V1), P_necessarily-{F}(V2,V1), P_necessarily-{F}(V3,V4), P_implies-{F}(V3,V5,V2), P_necessarily-{F}(V5,V6), P_implies-{F}(V4,V6,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1551: exists( #387, #1546 ), references = 1, size of lhs = 9:
% 77.54/77.81 pppp30-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_necessarily-{F}(V3,V2), P_necessarily-{F}(V4,V5), P_implies-{F}(V4,V6,V3), P_necessarily-{F}(V6,V7), P_implies-{F}(V5,V7,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1590: exists( #390, #1586 ), references = 1, size of lhs = 6:
% 77.54/77.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V4), P_implies-{F}(V3,V2,V5), V5 == V4 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1592: exists( #387, #1589 ), references = 4, size of lhs = 4:
% 77.54/77.81 op_implies_and-{F}(), P_not-{F}(V0,V1), P_not-{F}(V2,V1), P_implies-{F}(V3,V0,V4) | P_implies-{T}(V3,V2,V4)
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1603: mergings( V4 == V5; #1600 ), references = 1, size of lhs = 7:
% 77.54/77.81 op_implies_and-{F}(), pppp3-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_not-{F}(V3,V1), P_implies-{F}(V4,V2,V3) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1604: exists( #387, #1599 ), references = 1, size of lhs = 7:
% 77.54/77.81 op_implies_and-{F}(), pppp3-{F}(), pppp93-{F}(V0), P_not-{F}(V0,V1), P_or-{F}(V0,V0,V2), P_not-{F}(V3,V1), P_implies-{F}(V4,V2,V3) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1623: exists( #387, #1619 ), references = 1, size of lhs = 5:
% 77.54/77.81 pppp8-{F}(), pppp93-{F}(V0), P_or-{F}(V0,V0,V1), P_and-{F}(V1,V2,V3), P_implies-{F}(V2,V3,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1624: exists( #387, #1620 ), references = 1, size of lhs = 6:
% 77.54/77.81 pppp8-{F}(), pppp92-{F}(V0), P_not-{F}(V0,V1), P_implies-{F}(V1,V0,V2), P_and-{F}(V2,V3,V4), P_implies-{F}(V3,V4,V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1640: exists( #394, #1638 ), references = 2, size of lhs = 13:
% 77.54/77.81 op_strict_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp29-{F}(), is_a_theorem-{F}(V0), is_a_theorem-{F}(V1), P_implies-{F}(V0,V2,V1), P_not-{F}(V2,V3), P_not-{F}(V4,V5), P_implies-{F}(V6,V4,V3), P_strict_implies-{F}(V7,V8,V6), V7 == V8, P_strict_implies-{F}(V8,V7,V5) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1650: exists( #387, #1647 ), references = 2, size of lhs = 12:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp3-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_and-{F}(V4,V3,V5), P_implies-{F}(V6,V0,V5), P_equiv-{F}(V7,V8,V5), V7 == V8 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1652: exists( #389, #1649 ), references = 2, size of lhs = 12:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp3-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_and-{F}(V4,V3,V5), P_implies-{F}(V6,V0,V5), P_equiv-{F}(V7,V8,V5), V7 == V8 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1698: exists( #390, #1694 ), references = 1, size of lhs = 13:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp3-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V5), P_and-{F}(V6,V5,V7), P_implies-{F}(V8,V0,V7), P_equiv-{F}(V9,V10,V7), V9 == V10 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1699: exists( #390, #1695 ), references = 1, size of lhs = 13:
% 77.54/77.81 op_or-{F}(), op_implies_and-{F}(), pppp3-{F}(), pppp0-{F}(), pppp1-{F}(), is_a_theorem-{F}(V0), P_not-{F}(V1,V0), P_not-{F}(V2,V3), P_implies-{F}(V4,V2,V5), P_and-{F}(V6,V5,V7), P_implies-{F}(V8,V0,V7), P_equiv-{F}(V9,V10,V7), V9 == V10 | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1808: exists( #387, #1801 ), references = 2, size of lhs = 7:
% 77.54/77.81 pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V2,V1), P_necessarily-{F}(V1,V3) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1816: exists( #393, #1811 ), references = 1, size of lhs = 7:
% 77.54/77.81 pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V2,V1), P_implies-{F}(V3,V4,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1915: exists( #394, #1913 ), references = 1, size of lhs = 17:
% 77.54/77.81 op_strict_equiv-{F}(), op_implies_and-{F}(), pppp0-{F}(), pppp29-{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_strict_implies-{F}(V7,V8,V6), P_strict_implies-{F}(V8,V7,V5), P_not-{F}(V9,V10), P_implies-{F}(V11,V9,V3), P_strict_implies-{F}(V12,V13,V11), V12 == V13, P_strict_implies-{F}(V13,V12,V10) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1924: exists( #392, #1808 ), references = 1, size of lhs = 6:
% 77.54/77.81 pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0), P_possibly-{F}(V0,V1), P_possibly-{F}(V2,V1) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1926: exists( #395, #1923 ), references = 1, size of lhs = 4:
% 77.54/77.81 pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}(), pppp142-{F}(V0) | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1928: exists( #369, #1925 ), references = 1, size of lhs = 4:
% 77.54/77.81 pppp191-{F}(), pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}() | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1930: disj( #368, exists( #369, #1925 ) ), references = 1, size of lhs = 3:
% 77.54/77.81 pppp34-{F}(), pppp26-{F}(), op_strict_implies-{F}() | pppp48-{T}()
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 #1938: #376+#379+#383+#211+#269+#1929+#366+#386, references = 1, size of lhs = 0:
% 77.54/77.81 FALSE | FALSE
% 77.54/77.81 (used 0 times, uses = {})
% 77.54/77.81
% 77.54/77.81 number of learnt formulas = 86
% 77.54/77.81
% 77.54/77.81
% 77.54/77.81 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 77.54/77.81
% 77.54/77.81 randbase = 1
%------------------------------------------------------------------------------