TSTP Solution File: SYO605+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYO605+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:26:30 EDT 2022
% Result : Theorem 3.98s 4.16s
% Output : Refutation 3.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO605+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 01:06:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.98/4.16 GeoParameters:
% 3.98/4.16
% 3.98/4.16 tptp_input = 1
% 3.98/4.16 tptp_output = 0
% 3.98/4.16 nonempty = 1
% 3.98/4.16 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/4.16 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.98/4.16
% 3.98/4.16
% 3.98/4.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/4.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/4.16
% 3.98/4.16 RuleSystem INPUT:
% 3.98/4.16
% 3.98/4.16 Initial Rules:
% 3.98/4.16 #0: input, references = 4, size of lhs = 0:
% 3.98/4.16 FALSE | EXISTS V0: pppp4-{T}(V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #1: input, references = 7, size of lhs = 1:
% 3.98/4.16 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #2: input, references = 12, size of lhs = 4:
% 3.98/4.16 g_both-{F}(V1,V0), g_both-{F}(V1,V1), g_both-{F}(V4,V3), g_both-{F}(V4,V2) | pppp16-{T}(V0), pppp17-{T}(), pppp18-{T}(V2,V3), pppp19-{T}(V2), pppp20-{T}()
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #3: input, references = 5, size of lhs = 1:
% 3.98/4.16 pppp16-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #4: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp17-{F}() | EXISTS V0: pppp9-{T}(V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #5: input, references = 5, size of lhs = 1:
% 3.98/4.16 pppp18-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #6: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp19-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #7: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp20-{F}() | EXISTS V0: pppp15-{T}(V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #8: input, references = 5, size of lhs = 2:
% 3.98/4.16 pppp15-{F}(V0), #-{F} V1 | EXISTS V2: pppp14-{T}(V0,V1,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #9: input, references = 5, size of lhs = 1:
% 3.98/4.16 pppp14-{F}(V0,V1,V2) | pppp13-{T}(V0,V1,V2), g_false_only-{T}(V2,V0), g_true_only-{T}(V2,V0), g_both-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #10: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp14-{F}(V0,V1,V2) | pppp13-{T}(V0,V1,V2), g_false_only-{T}(V2,V0), g_true_only-{T}(V2,V0), g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #11: input, references = 6, size of lhs = 1:
% 3.98/4.16 pppp14-{F}(V0,V1,V2) | pppp13-{T}(V0,V1,V2), g_both-{T}(V2,V1), g_false_only-{T}(V2,V0), g_both-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #12: input, references = 7, size of lhs = 1:
% 3.98/4.16 pppp14-{F}(V0,V1,V2) | pppp13-{T}(V0,V1,V2), g_both-{T}(V2,V1), g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #13: input, references = 5, size of lhs = 1:
% 3.98/4.16 pppp13-{F}(V0,V1,V2) | g_both-{T}(V2,V0), g_true_only-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #14: input, references = 13, size of lhs = 1:
% 3.98/4.16 pppp13-{F}(V0,V1,V2) | g_true_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #15: input, references = 4, size of lhs = 2:
% 3.98/4.16 pppp12-{F}(V0,V1), #-{F} V2 | g_false_only-{T}(V2,V0), g_true_only-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #16: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp12-{F}(V0,V1), #-{F} V2 | g_false_only-{T}(V2,V0), g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #17: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp12-{F}(V0,V1), #-{F} V2 | g_true_only-{T}(V2,V1), g_true_only-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #18: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp12-{F}(V0,V1), #-{F} V2 | g_true_only-{T}(V2,V1), g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #19: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp11-{F}(V0,V1,V2) | pppp10-{T}(V0,V1,V2), g_false_only-{T}(V2,V0), g_true_only-{T}(V2,V0), g_both-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #20: input, references = 6, size of lhs = 1:
% 3.98/4.16 pppp11-{F}(V0,V1,V2) | pppp10-{T}(V0,V1,V2), g_false_only-{T}(V2,V0), g_true_only-{T}(V2,V0), g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #21: input, references = 5, size of lhs = 1:
% 3.98/4.16 pppp11-{F}(V0,V1,V2) | pppp10-{T}(V0,V1,V2), g_both-{T}(V2,V1), g_false_only-{T}(V2,V0), g_both-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #22: input, references = 6, size of lhs = 1:
% 3.98/4.16 pppp11-{F}(V0,V1,V2) | pppp10-{T}(V0,V1,V2), g_both-{T}(V2,V1), g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #23: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp10-{F}(V0,V1,V2) | g_both-{T}(V2,V0), g_true_only-{T}(V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #24: input, references = 13, size of lhs = 1:
% 3.98/4.16 pppp10-{F}(V0,V1,V2) | g_true_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #25: input, references = 4, size of lhs = 2:
% 3.98/4.16 pppp9-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V1), g_false_only-{T}(V1,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #26: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp9-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V1), g_false_only-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #27: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp9-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V0), g_false_only-{T}(V1,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #28: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp9-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V0), g_false_only-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #29: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1), g_true_only-{T}(V0,V0), g_false_only-{T}(V0,V0), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #30: input, references = 6, size of lhs = 1:
% 3.98/4.16 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1), g_true_only-{T}(V0,V0), g_false_only-{T}(V0,V0), g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #31: input, references = 7, size of lhs = 1:
% 3.98/4.16 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1), g_both-{T}(V0,V1), g_true_only-{T}(V0,V0), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #32: input, references = 7, size of lhs = 1:
% 3.98/4.16 pppp8-{F}(V0,V1) | pppp7-{T}(V0,V1), g_both-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #33: input, references = 5, size of lhs = 1:
% 3.98/4.16 pppp7-{F}(V0,V1) | g_both-{T}(V0,V0), g_false_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #34: input, references = 16, size of lhs = 1:
% 3.98/4.16 pppp7-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #35: input, references = 14, size of lhs = 2:
% 3.98/4.16 pppp6-{F}(V0,V1), #-{F} V2 | pppp5-{T}(V0,V1,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #36: input, references = 7, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), g_false_only-{F}(V2,V1), g_both-{F}(V2,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #37: input, references = 5, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), g_false_only-{F}(V2,V1), g_false_only-{F}(V2,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #38: input, references = 11, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), g_both-{F}(V2,V1), g_true_only-{F}(V2,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #39: input, references = 8, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), g_both-{F}(V2,V1), g_false_only-{F}(V2,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #40: input, references = 20, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), g_true_only-{F}(V2,V1), g_true_only-{F}(V2,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #41: input, references = 10, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), g_true_only-{F}(V2,V1), g_both-{F}(V2,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #42: input, references = 6, size of lhs = 2:
% 3.98/4.16 pppp4-{F}(V0), #-{F} V1 | pppp3-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #43: input, references = 5, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V0,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #44: input, references = 5, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_true_only-{F}(V0,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #45: input, references = 6, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), g_both-{F}(V0,V1), g_false_only-{F}(V0,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #46: input, references = 4, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), g_both-{F}(V0,V1), g_true_only-{F}(V0,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #47: input, references = 8, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), g_true_only-{F}(V0,V1), g_false_only-{F}(V0,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #48: input, references = 7, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), g_true_only-{F}(V0,V1), g_both-{F}(V0,V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #49: input, references = 5, size of lhs = 1:
% 3.98/4.16 g_true_only-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #50: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp0-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #51: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp0-{F}(V0,V1) | g_true-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #52: input, references = 5, size of lhs = 2:
% 3.98/4.16 pppp0-{F}(V0,V1), g_false-{F}(V0,V1) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #53: input, references = 3, size of lhs = 1:
% 3.98/4.16 g_true-{F}(V0,V1) | pppp0-{T}(V0,V1), g_false-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #54: input, references = 4, size of lhs = 1:
% 3.98/4.16 g_both-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #55: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp1-{F}(V0,V1) | g_both-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #56: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp1-{F}(V0,V1) | g_true-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #57: input, references = 4, size of lhs = 1:
% 3.98/4.16 pppp1-{F}(V0,V1) | g_false-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #58: input, references = 3, size of lhs = 2:
% 3.98/4.16 g_true-{F}(V0,V1), g_false-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #59: input, references = 3, size of lhs = 1:
% 3.98/4.16 g_false_only-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #60: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp2-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #61: input, references = 3, size of lhs = 1:
% 3.98/4.16 pppp2-{F}(V0,V1) | g_false-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #62: input, references = 3, size of lhs = 2:
% 3.98/4.16 pppp2-{F}(V0,V1), g_true-{F}(V0,V1) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #63: input, references = 3, size of lhs = 1:
% 3.98/4.16 g_false-{F}(V0,V1) | pppp2-{T}(V0,V1), g_true-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #64: input, references = 21, size of lhs = 2:
% 3.98/4.16 #-{F} V0, #-{F} V1 | g_true_only-{T}(V0,V1), g_both-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 number of initial rules = 65
% 3.98/4.16
% 3.98/4.16 Simplifiers:
% 3.98/4.16 #65: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #66: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #67: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V1 == V4 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #68: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #69: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #70: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #71: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #72: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #73: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #74: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #75: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #76: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #77: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #78: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #79: unsound, references = 3, size of lhs = 3:
% 3.98/4.16 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 number of simplifiers = 15
% 3.98/4.16
% 3.98/4.16 Learnt:
% 3.98/4.16 #83: mergings( V2 == V3; #80 ), references = 10, size of lhs = 2:
% 3.98/4.16 g_false_only-{F}(V0,V1), pppp5-{F}(V2,V1,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #87: disj( #15, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp12-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2) | g_false_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #88: disj( #15, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp12-{F}(V0,V1), pppp5-{F}(V0,V2,V3), g_both-{F}(V3,V2) | g_false_only-{T}(V3,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #89: disj( #15, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp12-{F}(V0,V1), pppp5-{F}(V2,V0,V3), g_both-{F}(V3,V2) | g_false_only-{T}(V3,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #97: mergings( V2 == V3; #93 ), references = 2, size of lhs = 3:
% 3.98/4.16 pppp19-{F}(V0), pppp3-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #101: disj( #13, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp13-{F}(V0,V1,V0), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2) | g_true_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #102: disj( #13, input ), references = 1, size of lhs = 3:
% 3.98/4.16 g_false_only-{F}(V0,V0), pppp3-{F}(V0,V1), pppp13-{F}(V1,V2,V0) | g_true_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #103: disj( #13, input ), references = 3, size of lhs = 3:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp13-{F}(V2,V3,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #111: mergings( V2 == V3; #107 ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp14-{F}(V0,V1,V0), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2), g_false_only-{F}(V0,V3), pppp5-{F}(V1,V3,V0) | g_both-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #122: disj( #10, input, input, input ), references = 3, size of lhs = 7:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V4,V2,V0), g_both-{F}(V0,V5), pppp5-{F}(V3,V5,V0) | pppp13-{T}(V2,V3,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #124: mergings( V3 == V4; #121 ), references = 2, size of lhs = 5:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp14-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V4,V3,V0) | pppp13-{T}(V2,V3,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #125: disj( #10, input, input, input ), references = 1, size of lhs = 7:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V4,V2,V0), g_both-{F}(V0,V5), pppp5-{F}(V5,V3,V0) | pppp13-{T}(V2,V3,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #138: disj( #9, #14+#103+#40, input ), references = 1, size of lhs = 4:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), pppp5-{F}(V3,V2,V0) | g_true_only-{T}(V0,V2), g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #139: disj( #9, #14+#49+#52, input ), references = 1, size of lhs = 4:
% 3.98/4.16 g_false-{F}(V0,V1), pppp14-{F}(V2,V1,V0), g_both-{F}(V0,V3), pppp5-{F}(V3,V2,V0) | g_true_only-{T}(V0,V2), g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #147: mergings( V2 == V5; #144 ), references = 1, size of lhs = 10:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), pppp5-{F}(V3,V2,V0), g_both-{F}(V0,V4), pppp5-{F}(V4,V2,V0), pppp14-{F}(V2,V5,V0), pppp5-{F}(V5,V2,V0), g_both-{F}(V0,V6), pppp5-{F}(V6,V2,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #149: mergings( V2 == V5; #145 ), references = 1, size of lhs = 11:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), pppp5-{F}(V3,V2,V0), g_both-{F}(V0,V4), pppp5-{F}(V4,V2,V0), pppp14-{F}(V2,V5,V0), pppp5-{F}(V5,V2,V0), pppp5-{F}(V2,V5,V0), g_both-{F}(V0,V6), pppp5-{F}(V6,V2,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #158: mergings( V0 == V5, V5 == V3; #154 ), references = 1, size of lhs = 6:
% 3.98/4.16 pppp14-{F}(V0,V1,V2), pppp5-{F}(V1,V0,V2), pppp14-{F}(V0,V3,V2), pppp5-{F}(V3,V0,V2), pppp14-{F}(V0,V4,V2), pppp5-{F}(V4,V0,V2) | g_false_only-{T}(V2,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #161: disj( #11, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 g_false_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V4,V2,V0) | pppp13-{T}(V2,V3,V0), g_both-{T}(V0,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #164: disj( #159, #14+#40 ), references = 1, size of lhs = 7:
% 3.98/4.16 g_false_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V2,V3,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V4,V2,V0), g_true_only-{F}(V0,V5), pppp5-{F}(V5,V3,V0) | g_both-{T}(V0,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #177: exists( #8, #173 ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp15-{F}(V0), pppp6-{F}(V1,V0), pppp6-{F}(V2,V1) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #185: mergings( V3 == V4; #182 ), references = 1, size of lhs = 3:
% 3.98/4.16 g_false_only-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp14-{F}(V3,V2,V0) | pppp13-{T}(V3,V2,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #189: disj( #11, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp14-{F}(V0,V1,V1), pppp3-{F}(V1,V2), g_false_only-{F}(V1,V2), g_false_only-{F}(V1,V3), pppp5-{F}(V0,V3,V1) | pppp13-{T}(V0,V1,V1), g_both-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #190: disj( #11, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 g_false_only-{F}(V0,V0), pppp3-{F}(V0,V1), pppp14-{F}(V2,V1,V0), g_false_only-{F}(V0,V3), pppp5-{F}(V2,V3,V0) | pppp13-{T}(V2,V1,V0), g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #191: disj( #11, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp13-{T}(V3,V2,V0), g_both-{T}(V0,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #194: mergings( V3 == V4; #192 ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp14-{F}(V0,V1,V1), pppp3-{F}(V1,V2), g_false_only-{F}(V1,V2), g_false_only-{F}(V1,V3), pppp5-{F}(V0,V3,V1) | pppp13-{T}(V0,V1,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #210: disj( #11, #14+#40, input ), references = 1, size of lhs = 5:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V3,V2,V0), g_true_only-{F}(V0,V4), pppp5-{F}(V4,V2,V0) | g_false_only-{T}(V0,V3), g_both-{T}(V0,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #212: disj( #208, input ), references = 1, size of lhs = 7:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp14-{F}(V3,V2,V0), g_true_only-{F}(V0,V4), pppp5-{F}(V4,V2,V0), g_false_only-{F}(V0,V5), pppp5-{F}(V3,V5,V0) | g_both-{T}(V0,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #218: disj( #9, #14+#49+#52, input ), references = 1, size of lhs = 4:
% 3.98/4.16 g_false-{F}(V0,V1), pppp14-{F}(V2,V1,V0), g_both-{F}(V0,V3), pppp5-{F}(V2,V3,V0) | g_true_only-{T}(V0,V2), g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #225: mergings( V3 == V6, V2 == V5, V4 == V6; #221 ), references = 1, size of lhs = 5:
% 3.98/4.16 g_false-{F}(V0,V1), pppp14-{F}(V2,V1,V0), g_both-{F}(V0,V3), pppp14-{F}(V2,V3,V0), pppp5-{F}(V2,V3,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #235: mergings( V1 == V5, V5 == V7, V0 == V3, V3 == V4, V4 == V8; #229 ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp5-{F}(V0,V1,V2), pppp14-{F}(V3,V1,V2), pppp5-{F}(V3,V1,V2) | pppp13-{T}(V3,V1,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #237: disj( #13, input ), references = 1, size of lhs = 3:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp13-{F}(V2,V3,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #243: exists( #8, #241 ), references = 1, size of lhs = 2:
% 3.98/4.16 pppp15-{F}(V0), pppp6-{F}(V0,V1) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #245: exists( #1, #242 ), references = 1, size of lhs = 1:
% 3.98/4.16 pppp15-{F}(V0) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #247: exists( #7, #244 ), references = 1, size of lhs = 1:
% 3.98/4.16 pppp20-{F}() | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #251: disj( #25, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp9-{F}(V0), pppp3-{F}(V1,V2), g_both-{F}(V1,V2) | g_false_only-{T}(V1,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #252: disj( #25, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp9-{F}(V0), pppp5-{F}(V1,V2,V1), g_both-{F}(V1,V2) | g_false_only-{T}(V1,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #253: disj( #25, input ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp9-{F}(V0), pppp5-{F}(V1,V2,V2), g_both-{F}(V2,V1) | g_false_only-{T}(V2,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #261: mergings( V2 == V3; #257 ), references = 3, size of lhs = 3:
% 3.98/4.16 pppp17-{F}(), pppp3-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #267: mergings( V8 == V6, V6 == V7; #262 ), references = 1, size of lhs = 8:
% 3.98/4.16 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #269: mergings( V8 == V6; #263 ), references = 1, size of lhs = 10:
% 3.98/4.16 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5), g_both-{F}(V6,V7), pppp5-{F}(V6,V7,V6) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #271: mergings( V8 == V6; #264 ), references = 1, size of lhs = 10:
% 3.98/4.16 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5), g_both-{F}(V6,V7), pppp5-{F}(V7,V6,V6) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #277: mergings( V2 == V3; #272 ), references = 6, size of lhs = 2:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V2,V1,V0) | g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #278: disj( #64, input, input ), references = 8, size of lhs = 4:
% 3.98/4.16 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), g_both-{F}(V0,V3), pppp5-{F}(V3,V2,V0) | g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #311: mergings( V1 == V2, V2 == V3; #282 ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp11-{F}(V0,V0,V0), pppp3-{F}(V0,V1), g_both-{F}(V0,V1) | g_true_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #313: mergings( V2 == V4; #285 ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp11-{F}(V0,V1,V1), g_both-{F}(V1,V2), pppp5-{F}(V0,V2,V1), pppp3-{F}(V1,V3), g_both-{F}(V1,V3) | g_true_only-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #318: disj( #64, input, input ), references = 1, size of lhs = 1:
% 3.98/4.16 pppp5-{F}(V0,V0,V1) | g_both-{T}(V1,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #321: disj( #64, input, input ), references = 3, size of lhs = 2:
% 3.98/4.16 g_both-{F}(V0,V0), pppp3-{F}(V0,V1) | g_both-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #330: disj( #64, input, input ), references = 2, size of lhs = 4:
% 3.98/4.16 g_false_only-{F}(V0,V0), pppp3-{F}(V0,V1), g_false_only-{F}(V0,V2), pppp5-{F}(V2,V1,V0) | g_both-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #331: disj( #64, input, input ), references = 1, size of lhs = 4:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), g_false_only-{F}(V0,V3), pppp5-{F}(V3,V2,V0) | g_both-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #344: mergings( V1 == V3; #337 ), references = 1, size of lhs = 4:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp3-{F}(V0,V2), pppp5-{F}(V1,V2,V0), pppp5-{F}(V0,V2,V0) | g_true_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #349: disj( #64, input, input ), references = 5, size of lhs = 2:
% 3.98/4.16 g_true_only-{F}(V0,V0), pppp3-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #355: disj( #64, input, input ), references = 3, size of lhs = 4:
% 3.98/4.16 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), g_true_only-{F}(V0,V3), pppp5-{F}(V3,V2,V0) | g_false_only-{T}(V0,V2)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #362: disj( #31, #34+#40, #34+#40 ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V2,V1,V0), pppp7-{F}(V0,V3), pppp5-{F}(V0,V3,V0) | g_both-{T}(V0,V1), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #363: disj( #31, #34+#47, #34+#40 ), references = 1, size of lhs = 5:
% 3.98/4.16 g_false_only-{F}(V0,V0), pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), pppp7-{F}(V0,V2), pppp5-{F}(V0,V2,V0) | g_both-{T}(V0,V1), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #365: disj( #360, input ), references = 1, size of lhs = 7:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V2,V1,V0), pppp7-{F}(V0,V3), pppp5-{F}(V0,V3,V0), g_true_only-{F}(V0,V4), pppp5-{F}(V1,V4,V0) | g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #373: mergings( V1 == V5; #368 ), references = 1, size of lhs = 10:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V1), pppp5-{F}(V0,V1,V0), pppp8-{F}(V0,V2), g_true_only-{F}(V0,V3), pppp5-{F}(V3,V2,V0), g_true_only-{F}(V0,V4), pppp5-{F}(V2,V4,V0), g_false_only-{F}(V0,V5), pppp5-{F}(V1,V5,V0) | g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #375: mergings( V1 == V5; #369 ), references = 1, size of lhs = 10:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V1), pppp5-{F}(V0,V1,V0), pppp8-{F}(V0,V2), g_true_only-{F}(V0,V3), pppp5-{F}(V3,V2,V0), g_true_only-{F}(V0,V4), pppp5-{F}(V2,V4,V0), g_false_only-{F}(V0,V5), pppp5-{F}(V5,V1,V0) | g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #376: disj( #32, #364+#43, input ), references = 1, size of lhs = 11:
% 3.98/4.16 pppp8-{F}(V0,V1), pppp5-{F}(V0,V1,V0), pppp8-{F}(V0,V2), g_true_only-{F}(V0,V3), pppp5-{F}(V3,V2,V0), g_true_only-{F}(V0,V4), pppp5-{F}(V2,V4,V0), pppp3-{F}(V0,V5), g_false_only-{F}(V0,V5), g_false_only-{F}(V0,V6), pppp5-{F}(V1,V6,V0) | g_false_only-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #382: mergings( V2 == V3; #379 ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp8-{F}(V0,V1), g_false_only-{F}(V0,V2), pppp5-{F}(V1,V2,V0) | pppp7-{T}(V0,V1)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #393: disj( #33, input ), references = 2, size of lhs = 3:
% 3.98/4.16 pppp7-{F}(V0,V1), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2) | g_false_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #405: mergings( V0 == V1; #395 ), references = 1, size of lhs = 3:
% 3.98/4.16 g_both-{F}(V0,V0), pppp8-{F}(V0,V0), pppp3-{F}(V0,V0) | pppp7-{T}(V0,V0), g_true_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #407: mergings( V1 == V2; #398 ), references = 1, size of lhs = 4:
% 3.98/4.16 g_both-{F}(V0,V0), pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V0,V1) | pppp7-{T}(V0,V1), g_true_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #412: mergings( V0 == V1; #409 ), references = 1, size of lhs = 3:
% 3.98/4.16 g_both-{F}(V0,V0), pppp8-{F}(V0,V0), pppp3-{F}(V0,V0) | pppp7-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #442: disj( #30, #34+#48, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 g_both-{F}(V0,V0), pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V0,V2), pppp5-{F}(V0,V2,V0) | g_true_only-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #450: disj( #31, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V2,V1,V0), pppp3-{F}(V0,V3), g_false_only-{F}(V0,V3) | pppp7-{T}(V0,V1), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #451: disj( #31, input, input ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V1,V2,V0), pppp3-{F}(V0,V3), g_false_only-{F}(V0,V3) | pppp7-{T}(V0,V1), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #457: disj( #447, #34+#40 ), references = 1, size of lhs = 7:
% 3.98/4.16 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V2,V1,V0), pppp3-{F}(V0,V3), g_false_only-{F}(V0,V3), g_true_only-{F}(V0,V4), pppp5-{F}(V4,V1,V0) | g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #460: mergings( V1 == V3, V3 == V4; #456 ), references = 1, size of lhs = 5:
% 3.98/4.16 pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V2,V1,V0) | g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.16
% 3.98/4.16 #465: mergings( V2 == V3; #463 ), references = 1, size of lhs = 3:
% 3.98/4.16 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2) | pppp7-{T}(V0,V1), g_both-{T}(V0,V0)
% 3.98/4.16 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #471: mergings( V2 == V3; #468 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2), g_both-{F}(V0,V3), pppp5-{F}(V3,V1,V0) | g_both-{T}(V0,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #473: mergings( V2 == V3; #469 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2), g_both-{F}(V0,V3), pppp5-{F}(V1,V3,V0) | g_both-{T}(V0,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #476: mergings( V2 == V3; #474 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2) | pppp7-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #484: mergings( V2 == V3; #480 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2), g_both-{F}(V0,V3), pppp5-{F}(V3,V1,V0) | g_false_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #487: mergings( V1 == V2, V2 == V3; #481 ), references = 1, size of lhs = 4:
% 3.98/4.17 g_both-{F}(V0,V0), pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), g_both-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #489: mergings( V2 == V3; #482 ), references = 4, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_both-{F}(V0,V2), g_both-{F}(V0,V3), pppp5-{F}(V1,V3,V0) | g_false_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #502: mergings( V1 == V3, V3 == V5; #497 ), references = 1, size of lhs = 4:
% 3.98/4.17 pppp3-{F}(V0,V1), pppp8-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V3,V1,V0) | pppp7-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #504: disj( #33, input ), references = 2, size of lhs = 3:
% 3.98/4.17 pppp7-{F}(V0,V1), pppp3-{F}(V0,V2), g_true_only-{F}(V0,V2) | g_both-{T}(V0,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #511: exists( #3, #509 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp16-{F}(V0), pppp4-{F}(V0), pppp6-{F}(V1,V0) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #524: disj( #21, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V4,V3,V0) | pppp10-{T}(V3,V2,V0), g_both-{T}(V0,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #525: disj( #21, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V4,V3,V0) | pppp10-{T}(V3,V2,V0), g_both-{T}(V0,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #528: disj( #520, input ), references = 2, size of lhs = 7:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V4,V3,V0), g_false_only-{F}(V0,V5), pppp5-{F}(V3,V5,V0) | pppp10-{T}(V3,V2,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #529: disj( #520, input ), references = 1, size of lhs = 7:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V4,V3,V0), g_false_only-{F}(V0,V5), pppp5-{F}(V5,V3,V0) | pppp10-{T}(V3,V2,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #541: mergings( V4 == V6, V1 == V7; #537 ), references = 1, size of lhs = 8:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), pppp5-{F}(V1,V2,V0), pppp5-{F}(V3,V2,V0), pppp5-{F}(V2,V3,V0), pppp11-{F}(V2,V3,V0), pppp11-{F}(V4,V3,V0), pppp5-{F}(V5,V3,V0) | pppp10-{T}(V4,V3,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #545: mergings( V4 == V6, V3 == V1, V1 == V7; #538 ), references = 1, size of lhs = 7:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), pppp5-{F}(V1,V2,V0), pppp5-{F}(V2,V1,V0), pppp11-{F}(V2,V1,V0), pppp11-{F}(V3,V1,V0), pppp5-{F}(V4,V1,V0) | pppp10-{T}(V3,V1,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #549: disj( #23, input ), references = 2, size of lhs = 3:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp10-{F}(V2,V3,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #550: disj( #23, input ), references = 2, size of lhs = 3:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp10-{F}(V2,V3,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #551: disj( #23, input ), references = 1, size of lhs = 3:
% 3.98/4.17 g_false_only-{F}(V0,V0), pppp3-{F}(V0,V1), pppp10-{F}(V1,V2,V0) | g_true_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #578: disj( #20, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp10-{T}(V2,V3,V0), g_true_only-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #579: disj( #20, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V4,V3,V0) | pppp10-{T}(V2,V3,V0), g_true_only-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #580: disj( #20, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_both-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp11-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp10-{T}(V2,V3,V0), g_true_only-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #583: disj( #574, input ), references = 2, size of lhs = 7:
% 3.98/4.17 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V3,V4,V0), g_both-{F}(V0,V5), pppp5-{F}(V5,V2,V0) | pppp10-{T}(V2,V3,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #584: disj( #574, input ), references = 1, size of lhs = 7:
% 3.98/4.17 g_both-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V3,V4,V0), g_both-{F}(V0,V5), pppp5-{F}(V2,V5,V0) | pppp10-{T}(V2,V3,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #607: mergings( V3 == V4, V4 == V8, V1 == V7, V6 == V8; #601 ), references = 1, size of lhs = 6:
% 3.98/4.17 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), pppp5-{F}(V1,V3,V2), pppp5-{F}(V3,V1,V2), pppp5-{F}(V4,V3,V2), pppp11-{F}(V3,V4,V2) | pppp10-{T}(V0,V1,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #617: exists( #5, #615 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp18-{F}(V0,V1), pppp6-{F}(V1,V0), pppp6-{F}(V0,V1) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #619: disj( #2, exists( #3, #509 ), exists( #5, #615 ), mergings( V2 == V3; #93 ) ), references = 1, size of lhs = 10:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp4-{F}(V1), pppp6-{F}(V2,V1), g_both-{F}(V3,V4), g_both-{F}(V3,V5), pppp6-{F}(V4,V5), pppp6-{F}(V5,V4), pppp3-{F}(V5,V6), g_both-{F}(V5,V6) | pppp17-{T}(), pppp20-{T}()
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #621: disj( #618, exists( #7, #244 ) ), references = 2, size of lhs = 10:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp4-{F}(V1), pppp6-{F}(V2,V1), g_both-{F}(V3,V4), g_both-{F}(V3,V5), pppp6-{F}(V4,V5), pppp6-{F}(V5,V4), pppp3-{F}(V5,V6), g_both-{F}(V5,V6) | pppp17-{T}()
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #628: mergings( V8 == V10, V10 == V17, V17 == V19, V3 == V12; #623 ), references = 1, size of lhs = 25:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp4-{F}(V1), pppp6-{F}(V2,V1), g_both-{F}(V3,V3), g_both-{F}(V3,V1), pppp6-{F}(V4,V1), g_both-{F}(V5,V6), g_both-{F}(V5,V7), pppp6-{F}(V6,V7), pppp6-{F}(V7,V6), pppp3-{F}(V7,V8), g_both-{F}(V7,V8), pppp3-{F}(V9,V8), g_both-{F}(V9,V8), pppp3-{F}(V10,V8), g_both-{F}(V10,V8), pppp3-{F}(V11,V8), g_both-{F}(V11,V8), g_both-{F}(V12,V11), g_both-{F}(V12,V13), pppp6-{F}(V13,V11), pppp6-{F}(V11,V13), #-{F} V14, #-{F} V15 | g_false_only-{T}(V14,V15)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #633: disj( #64, input, #621+#261 ), references = 1, size of lhs = 6:
% 3.98/4.17 pppp4-{F}(V0), pppp6-{F}(V1,V0), pppp6-{F}(V0,V2), g_both-{F}(V2,V2), pppp6-{F}(V2,V0), pppp3-{F}(V2,V0) | g_false_only-{T}(V2,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #649: mergings( V7 == V6; #647 ), references = 1, size of lhs = 8:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #661: mergings( V7 == V6; #659 ), references = 1, size of lhs = 8:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #664: mergings( V8 == V7; #662 ), references = 1, size of lhs = 10:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp4-{F}(V1), pppp6-{F}(V2,V1), g_both-{F}(V3,V4), g_both-{F}(V3,V5), pppp3-{F}(V5,V6), g_both-{F}(V5,V6), pppp3-{F}(V7,V6), g_both-{F}(V7,V6) | pppp18-{T}(V5,V4), pppp20-{T}()
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #667: mergings( V7 == V6; #665 ), references = 1, size of lhs = 8:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #670: mergings( V5 == V7; #668 ), references = 2, size of lhs = 10:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp4-{F}(V1), pppp6-{F}(V2,V1), g_both-{F}(V3,V4), g_both-{F}(V3,V5), pppp3-{F}(V5,V6), g_both-{F}(V5,V6), pppp3-{F}(V7,V6), g_both-{F}(V7,V6) | pppp18-{T}(V5,V4)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #672: disj( #2, mergings( V2 == V3; #257 ), exists( #5, #615 ), exists( #7, #244 ) ), references = 1, size of lhs = 8:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp6-{F}(V3,V4), pppp6-{F}(V4,V3), pppp3-{F}(V5,V6), g_both-{F}(V5,V6) | pppp16-{T}(V1), pppp19-{T}(V4)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #683: mergings( V1 == V2; #679 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp19-{F}(V0), pppp3-{F}(V0,V1), pppp5-{F}(V1,V0,V0) | g_true_only-{T}(V0,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #693: mergings( V7 == V8, V8 == V9, V9 == V6; #688 ), references = 1, size of lhs = 10:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp6-{F}(V3,V4), pppp6-{F}(V4,V3), pppp3-{F}(V4,V5), pppp5-{F}(V5,V4,V4), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #697: mergings( V7 == V8, V8 == V9, V9 == V6; #689 ), references = 1, size of lhs = 11:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp6-{F}(V3,V4), pppp6-{F}(V4,V3), pppp3-{F}(V4,V5), pppp5-{F}(V5,V4,V4), pppp5-{F}(V4,V5,V4), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #704: disj( #64, input, input ), references = 1, size of lhs = 4:
% 3.98/4.17 pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_false_only-{F}(V0,V2), pppp5-{F}(V2,V0,V0) | g_false_only-{T}(V0,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #706: mergings( V1 == V2; #703 ), references = 2, size of lhs = 2:
% 3.98/4.17 pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1) | g_false_only-{T}(V0,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #716: disj( #64, #277+#39, #83+#47 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp5-{F}(V0,V1,V1), g_false_only-{F}(V1,V2), pppp5-{F}(V2,V0,V1), pppp3-{F}(V1,V3), pppp5-{F}(V3,V1,V1) | g_true_only-{T}(V1,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #717: disj( #64, #277+#39, #330+#39 ), references = 1, size of lhs = 8:
% 3.98/4.17 pppp5-{F}(V0,V1,V1), g_false_only-{F}(V1,V2), pppp5-{F}(V2,V0,V1), pppp3-{F}(V1,V3), g_false_only-{F}(V1,V4), pppp5-{F}(V4,V3,V1), g_false_only-{F}(V1,V5), pppp5-{F}(V5,V3,V1) | g_true_only-{T}(V1,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #724: mergings( V2 == V4, V4 == V5, V5 == V3; #720 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp3-{F}(V0,V1), pppp5-{F}(V1,V0,V0), pppp5-{F}(V2,V1,V0) | g_both-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #726: disj( #64, input, input ), references = 2, size of lhs = 4:
% 3.98/4.17 g_false_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), g_false_only-{F}(V0,V3), pppp5-{F}(V3,V2,V0) | g_true_only-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #733: mergings( V3 == V4; #728 ), references = 3, size of lhs = 5:
% 3.98/4.17 g_both-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp11-{F}(V2,V3,V0), g_both-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp10-{T}(V2,V3,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #752: disj( #21, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp10-{T}(V3,V2,V0), g_both-{T}(V0,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #753: disj( #21, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_false_only-{F}(V0,V0), pppp3-{F}(V0,V1), pppp11-{F}(V2,V1,V0), g_false_only-{F}(V0,V3), pppp5-{F}(V2,V3,V0) | pppp10-{T}(V2,V1,V0), g_both-{T}(V0,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #754: disj( #21, input, input ), references = 1, size of lhs = 5:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp10-{T}(V3,V2,V0), g_both-{T}(V0,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #757: mergings( V4 == V5; #755 ), references = 1, size of lhs = 5:
% 3.98/4.17 g_true_only-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp11-{F}(V3,V2,V0), g_false_only-{F}(V0,V4), pppp5-{F}(V3,V4,V0) | pppp10-{T}(V3,V2,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #777: mergings( V1 == V8; #772 ), references = 1, size of lhs = 8:
% 3.98/4.17 pppp11-{F}(V0,V1,V2), pppp5-{F}(V1,V3,V2), pppp5-{F}(V4,V1,V2), pppp11-{F}(V4,V5,V2), pppp5-{F}(V5,V3,V2), pppp5-{F}(V6,V1,V2), pppp11-{F}(V7,V1,V2), pppp5-{F}(V7,V1,V2) | pppp10-{T}(V0,V1,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #779: mergings( V1 == V8; #773 ), references = 1, size of lhs = 9:
% 3.98/4.17 pppp3-{F}(V0,V1), pppp11-{F}(V2,V1,V0), pppp5-{F}(V1,V3,V0), pppp5-{F}(V4,V1,V0), pppp11-{F}(V4,V5,V0), pppp5-{F}(V5,V3,V0), pppp5-{F}(V6,V1,V0), pppp11-{F}(V6,V1,V0), pppp5-{F}(V7,V1,V0) | pppp10-{T}(V2,V1,V0)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #782: mergings( V1 == V6, V6 == V9; #774 ), references = 1, size of lhs = 8:
% 3.98/4.17 pppp11-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), pppp11-{F}(V3,V1,V2), pppp5-{F}(V1,V4,V2), pppp5-{F}(V5,V1,V2), pppp5-{F}(V6,V1,V2), pppp11-{F}(V7,V1,V2), pppp5-{F}(V7,V1,V2) | pppp10-{T}(V0,V1,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #789: exists( #5, #787 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp18-{F}(V0,V1), pppp6-{F}(V0,V1), pppp6-{F}(V1,V2) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #791: exists( #1, #788 ), references = 1, size of lhs = 2:
% 3.98/4.17 pppp18-{F}(V0,V1), pppp6-{F}(V0,V1) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #799: mergings( V2 == V1; #796 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp4-{F}(V0), pppp6-{F}(V1,V0), pppp5-{F}(V2,V0,V2), pppp6-{F}(V2,V0), pppp3-{F}(V2,V0) | g_false_only-{T}(V2,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #811: disj( #64, input, input ), references = 2, size of lhs = 2:
% 3.98/4.17 g_false_only-{F}(V0,V0), pppp3-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #853: disj( #31, input, input, input ), references = 1, size of lhs = 7:
% 3.98/4.17 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V1,V2,V0), pppp3-{F}(V0,V3), g_false_only-{F}(V0,V3), g_true_only-{F}(V0,V4), pppp5-{F}(V0,V4,V0) | pppp7-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #855: mergings( V3 == V4; #850 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V1,V2,V0), g_true_only-{F}(V0,V3), pppp5-{F}(V0,V3,V0) | pppp7-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #857: mergings( V1 == V2; #851 ), references = 1, size of lhs = 6:
% 3.98/4.17 g_false_only-{F}(V0,V0), pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp5-{F}(V0,V2,V0) | pppp7-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #883: disj( #32, #34+#504+#48, #278+#489+#39 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), pppp5-{F}(V1,V2,V0), pppp8-{F}(V0,V3), pppp5-{F}(V3,V2,V0) | g_false_only-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #886: mergings( V2 == V3; #884 ), references = 1, size of lhs = 3:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2) | pppp7-{T}(V0,V1), g_both-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #890: mergings( V2 == V3; #887 ), references = 1, size of lhs = 5:
% 3.98/4.17 pppp8-{F}(V0,V1), pppp3-{F}(V0,V2), g_false_only-{F}(V0,V2), g_true_only-{F}(V0,V3), pppp5-{F}(V1,V3,V0) | pppp7-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #893: mergings( V1 == V2, V2 == V3; #888 ), references = 1, size of lhs = 4:
% 3.98/4.17 g_false_only-{F}(V0,V0), pppp8-{F}(V0,V1), pppp3-{F}(V0,V1), g_false_only-{F}(V0,V1) | pppp7-{T}(V0,V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #909: exists( #3, #905 ), references = 2, size of lhs = 3:
% 3.98/4.17 pppp16-{F}(V0), pppp4-{F}(V0), pppp6-{F}(V0,V1) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #916: mergings( V8 == V7; #914 ), references = 1, size of lhs = 10:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), pppp4-{F}(V1), pppp6-{F}(V1,V2), g_both-{F}(V3,V4), g_both-{F}(V3,V5), pppp3-{F}(V5,V6), g_both-{F}(V5,V6), pppp3-{F}(V7,V6), g_both-{F}(V7,V6) | pppp18-{T}(V5,V4), pppp20-{T}()
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #922: mergings( V7 == V6; #920 ), references = 1, size of lhs = 8:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1), pppp18-{T}(V4,V3)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #925: mergings( V5 == V7; #923 ), references = 1, size of lhs = 9:
% 3.98/4.17 g_both-{F}(V0,V0), g_both-{F}(V0,V1), g_both-{F}(V2,V3), g_both-{F}(V2,V4), pppp6-{F}(V4,V3), pppp3-{F}(V4,V5), g_both-{F}(V4,V5), pppp3-{F}(V6,V5), g_both-{F}(V6,V5) | pppp16-{T}(V1)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #932: mergings( V2 == V1; #930 ), references = 1, size of lhs = 6:
% 3.98/4.17 pppp4-{F}(V0), pppp6-{F}(V0,V1), pppp5-{F}(V0,V2,V2), pppp3-{F}(V2,V0), pppp6-{F}(V2,V3), pppp5-{F}(V2,V3,V2) | g_false_only-{T}(V2,V2)
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #943: mergings( V2 == V4, V4 == V5; #939 ), references = 1, size of lhs = 4:
% 3.98/4.17 pppp4-{F}(V0), pppp6-{F}(V0,V1), pppp5-{F}(V0,V2,V2), pppp3-{F}(V2,V0) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #950: exists( #1, #946 ), references = 1, size of lhs = 1:
% 3.98/4.17 pppp4-{F}(V0) | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 #953: exists( #0, #948 ), references = 1, size of lhs = 0:
% 3.98/4.17 FALSE | FALSE
% 3.98/4.17 (used 0 times, uses = {})
% 3.98/4.17
% 3.98/4.17 number of learnt formulas = 140
% 3.98/4.17
% 3.98/4.17
% 3.98/4.17 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/4.17
% 3.98/4.17 randbase = 1
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