TSTP Solution File: SYO604+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYO604+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 1.65s 1.84s
% Output : Refutation 1.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO604+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jul 23 01:15:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.65/1.84 GeoParameters:
% 1.65/1.84
% 1.65/1.84 tptp_input = 1
% 1.65/1.84 tptp_output = 0
% 1.65/1.84 nonempty = 1
% 1.65/1.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/1.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.65/1.84
% 1.65/1.84
% 1.65/1.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/1.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/1.84
% 1.65/1.84 RuleSystem INPUT:
% 1.65/1.84
% 1.65/1.84 Initial Rules:
% 1.65/1.84 #0: input, references = 4, size of lhs = 0:
% 1.65/1.84 FALSE | EXISTS V0: pppp8-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #1: input, references = 6, size of lhs = 2:
% 1.65/1.84 g_both-{F}(V1,V0), g_both-{F}(V1,V2) | g_false_only-{T}(V1,V2), g_false_only-{T}(V2,V1), pppp19-{T}(V1), pppp20-{T}(V0), pppp21-{T}()
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #2: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp19-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #3: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp20-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #4: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp21-{F}() | EXISTS V0: pppp18-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #5: input, references = 6, size of lhs = 2:
% 1.65/1.84 g_both-{F}(V1,V0), g_both-{F}(V2,V1) | g_false_only-{T}(V1,V2), g_false_only-{T}(V2,V1), pppp22-{T}(V1), pppp23-{T}(V0), pppp24-{T}()
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #6: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp22-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #7: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp23-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #8: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp24-{F}() | EXISTS V0: pppp18-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #9: input, references = 5, size of lhs = 3:
% 1.65/1.84 pppp18-{F}(V0), #-{F} V1, #-{F} V2 | g_false_only-{T}(V1,V2), g_false_only-{T}(V2,V1), pppp25-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #10: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp25-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #11: input, references = 5, size of lhs = 3:
% 1.65/1.84 pppp18-{F}(V0), #-{F} V1, #-{F} V2 | g_false_only-{T}(V1,V2), g_false_only-{T}(V2,V1), g_false_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #12: input, references = 4, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V0), pppp26-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #13: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp26-{F}(V0) | EXISTS V1: pppp17-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #14: input, references = 3, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), #-{F} V1 | g_true_only-{T}(V1,V0), g_false_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #15: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp17-{F}(V0,V1) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #16: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp17-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #17: input, references = 5, size of lhs = 2:
% 1.65/1.84 pppp16-{F}(V0,V1), #-{F} V2 | pppp14-{T}(V0,V1), g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0), pppp27-{T}(V0), pppp15-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #18: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp27-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #19: input, references = 8, size of lhs = 1:
% 1.65/1.84 pppp16-{F}(V0,V1) | pppp14-{T}(V0,V1), g_both-{T}(V0,V1), pppp15-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #20: input, references = 4, size of lhs = 4:
% 1.65/1.84 pppp15-{F}(V0,V1), #-{F} V2, g_true_only-{F}(V0,V3), g_true_only-{F}(V3,V0) | g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #21: input, references = 5, size of lhs = 2:
% 1.65/1.84 pppp15-{F}(V0,V1), #-{F} V2 | g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0), pppp28-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #22: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp28-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #23: input, references = 8, size of lhs = 1:
% 1.65/1.84 pppp15-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #24: input, references = 3, size of lhs = 3:
% 1.65/1.84 pppp14-{F}(V0,V1), g_true_only-{F}(V0,V2), g_true_only-{F}(V2,V0) | EXISTS V3: pppp11-{T}(V0,V3)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #25: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp14-{F}(V0,V1) | pppp29-{T}(V0), pppp30-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #26: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp29-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #27: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp30-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #28: input, references = 10, size of lhs = 1:
% 1.65/1.84 pppp14-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #29: input, references = 3, size of lhs = 2:
% 1.65/1.84 pppp13-{F}(V0,V1), g_false_only-{F}(V1,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #30: input, references = 3, size of lhs = 2:
% 1.65/1.84 pppp13-{F}(V0,V1), g_false_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #31: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp13-{F}(V0,V1) | g_both-{T}(V0,V1), g_both-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #32: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp12-{F}(V0,V1) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #33: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp12-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #34: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp11-{F}(V0,V1) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #35: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp11-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #36: input, references = 3, size of lhs = 2:
% 1.65/1.84 pppp10-{F}(V0,V1), g_false_only-{F}(V1,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #37: input, references = 3, size of lhs = 2:
% 1.65/1.84 pppp10-{F}(V0,V1), g_false_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #38: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp10-{F}(V0,V1) | g_both-{T}(V0,V1), g_both-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #39: input, references = 6, size of lhs = 1:
% 1.65/1.84 pppp9-{F}(V0,V1) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #40: input, references = 6, size of lhs = 1:
% 1.65/1.84 pppp9-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #41: input, references = 9, size of lhs = 2:
% 1.65/1.84 pppp8-{F}(V0), #-{F} V1 | pppp7-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #42: input, references = 4, size of lhs = 3:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V2,V0) | g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0), pppp31-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #43: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp31-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #44: input, references = 5, size of lhs = 3:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V0,V2) | g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0), pppp32-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #45: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp32-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #46: input, references = 6, size of lhs = 2:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #47: input, references = 8, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_both-{F}(V0,V1), g_true_only-{F}(V0,V2), g_true_only-{F}(V2,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #48: input, references = 4, size of lhs = 2:
% 1.65/1.84 pppp7-{F}(V0,V1), g_both-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #49: input, references = 12, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), g_true_only-{F}(V0,V2), g_true_only-{F}(V2,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #50: input, references = 5, size of lhs = 3:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), g_both-{F}(V2,V0) | g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0), pppp33-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #51: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp33-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #52: input, references = 4, size of lhs = 3:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), g_both-{F}(V0,V2) | g_false_only-{T}(V0,V2), g_false_only-{T}(V2,V0), pppp34-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #53: input, references = 4, size of lhs = 1:
% 1.65/1.84 pppp34-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #54: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp6-{F}(V0,V1) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #55: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp6-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #56: input, references = 5, size of lhs = 2:
% 1.65/1.84 pppp5-{F}(V0,V1), g_false_only-{F}(V1,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #57: input, references = 5, size of lhs = 2:
% 1.65/1.84 pppp5-{F}(V0,V1), g_false_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #58: input, references = 4, size of lhs = 2:
% 1.65/1.84 pppp4-{F}(V0,V1), g_false_only-{F}(V1,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #59: input, references = 4, size of lhs = 2:
% 1.65/1.84 pppp4-{F}(V0,V1), g_false_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #60: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp3-{F}(V0,V1) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #61: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp3-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #62: input, references = 7, size of lhs = 1:
% 1.65/1.84 g_true_only-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #63: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp0-{F}(V0,V1) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #64: input, references = 5, size of lhs = 1:
% 1.65/1.84 pppp0-{F}(V0,V1) | g_true-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #65: input, references = 7, size of lhs = 2:
% 1.65/1.84 pppp0-{F}(V0,V1), g_false-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #66: input, references = 3, size of lhs = 1:
% 1.65/1.84 g_true-{F}(V0,V1) | pppp0-{T}(V0,V1), g_false-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #67: input, references = 11, size of lhs = 1:
% 1.65/1.84 g_both-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #68: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp1-{F}(V0,V1) | g_both-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #69: input, references = 8, size of lhs = 1:
% 1.65/1.84 pppp1-{F}(V0,V1) | g_true-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #70: input, references = 6, size of lhs = 1:
% 1.65/1.84 pppp1-{F}(V0,V1) | g_false-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #71: input, references = 3, size of lhs = 2:
% 1.65/1.84 g_true-{F}(V0,V1), g_false-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #72: input, references = 11, size of lhs = 1:
% 1.65/1.84 g_false_only-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #73: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp2-{F}(V0,V1) | g_false_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #74: input, references = 3, size of lhs = 1:
% 1.65/1.84 pppp2-{F}(V0,V1) | g_false-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #75: input, references = 11, size of lhs = 2:
% 1.65/1.84 pppp2-{F}(V0,V1), g_true-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #76: input, references = 3, size of lhs = 1:
% 1.65/1.84 g_false-{F}(V0,V1) | pppp2-{T}(V0,V1), g_true-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #77: input, references = 14, size of lhs = 2:
% 1.65/1.84 #-{F} V0, #-{F} V1 | g_true_only-{T}(V0,V1), g_both-{T}(V0,V1), g_false_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 number of initial rules = 78
% 1.65/1.84
% 1.65/1.84 Simplifiers:
% 1.65/1.84 #78: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #79: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #80: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #81: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #82: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #83: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #84: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #85: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #86: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #87: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #88: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #89: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #90: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #91: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #92: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #93: unsound, references = 3, size of lhs = 3:
% 1.65/1.84 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 number of simplifiers = 16
% 1.65/1.84
% 1.65/1.84 Learnt:
% 1.65/1.84 #97: disj( #42, #72+#75, #72+#75 ), references = 3, size of lhs = 5:
% 1.65/1.84 g_both-{F}(V0,V1), g_true-{F}(V1,V0), g_true-{F}(V0,V1), pppp7-{F}(V1,V2), g_false_only-{F}(V1,V2) | pppp31-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #105: disj( #44, input, input ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V0,V2), pppp5-{F}(V2,V0) | pppp32-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #106: disj( #44, input, input ), references = 2, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V0,V2), pppp5-{F}(V0,V2) | pppp32-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #112: disj( #77, input, input ), references = 1, size of lhs = 4:
% 1.65/1.84 g_true_only-{F}(V0,V1), g_true_only-{F}(V1,V0), pppp7-{F}(V1,V2), pppp4-{F}(V2,V1) | g_true_only-{T}(V1,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #124: disj( #77, input, input ), references = 1, size of lhs = 5:
% 1.65/1.84 g_true_only-{F}(V0,V1), g_true_only-{F}(V1,V0), pppp7-{F}(V1,V2), g_true_only-{F}(V1,V3), g_true_only-{F}(V3,V1) | g_false_only-{T}(V1,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #138: exists( #2, #135 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp19-{F}(V0), pppp7-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #143: disj( #1, input, input, exists( #2, #135 ) ), references = 1, size of lhs = 5:
% 1.65/1.84 g_both-{F}(V0,V1), g_both-{F}(V0,V2), pppp4-{F}(V2,V0), pppp7-{F}(V0,V3), g_both-{F}(V0,V3) | pppp20-{T}(V1), pppp21-{T}()
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #144: disj( #1, input, input, exists( #2, #135 ) ), references = 1, size of lhs = 5:
% 1.65/1.84 g_both-{F}(V0,V1), g_both-{F}(V0,V2), pppp4-{F}(V0,V2), pppp7-{F}(V0,V3), g_both-{F}(V0,V3) | pppp20-{T}(V1), pppp21-{T}()
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #151: disj( #9, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), pppp5-{F}(V1,V2) | pppp25-{T}(V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #152: disj( #9, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), pppp5-{F}(V1,V2) | pppp25-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #157: disj( #11, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), pppp5-{F}(V1,V2) | g_false_only-{T}(V2,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #158: disj( #11, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), pppp5-{F}(V1,V2) | g_false_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #165: disj( #12, #62+#65 ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), g_false-{F}(V1,V0) | pppp26-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #168: disj( #9, #72+#75, #72+#75 ), references = 3, size of lhs = 3:
% 1.65/1.84 pppp18-{F}(V0), g_true-{F}(V1,V2), g_true-{F}(V2,V1) | pppp25-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #173: disj( #11, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), pppp4-{F}(V1,V2) | g_false_only-{T}(V2,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #174: disj( #11, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp18-{F}(V0), pppp4-{F}(V1,V2) | g_false_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #181: exists( #10, #178 ), references = 2, size of lhs = 3:
% 1.65/1.84 pppp25-{F}(V0), pppp7-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #184: exists( #8, #182 ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp24-{F}(), g_true-{F}(V0,V1), g_true-{F}(V1,V0), pppp7-{F}(V0,V2), g_both-{F}(V0,V2) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #187: disj( #5, #72+#75, #72+#75, exists( #8, #182 ) ), references = 1, size of lhs = 8:
% 1.65/1.84 g_both-{F}(V0,V1), g_true-{F}(V1,V0), g_true-{F}(V0,V1), g_both-{F}(V1,V2), g_true-{F}(V3,V4), g_true-{F}(V4,V3), pppp7-{F}(V3,V5), g_both-{F}(V3,V5) | pppp22-{T}(V1), pppp23-{T}(V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #196: disj( #44, #72+#75, #72+#75 ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), g_both-{F}(V0,V2), g_true-{F}(V0,V2), g_true-{F}(V2,V0) | pppp32-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #215: exists( #6, #212 ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp22-{F}(V0), pppp8-{F}(V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #216: exists( #6, #211 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp22-{F}(V0), pppp7-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #225: disj( #5, input, input, exists( #6, #212 ), exists( #8, #182 ) ), references = 1, size of lhs = 8:
% 1.65/1.84 pppp8-{F}(V0), g_both-{F}(V0,V1), g_both-{F}(V2,V0), pppp4-{F}(V2,V0), g_true-{F}(V3,V4), g_true-{F}(V4,V3), pppp7-{F}(V3,V5), g_both-{F}(V3,V5) | pppp23-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #226: disj( #5, input, input, exists( #6, #212 ), exists( #8, #182 ) ), references = 1, size of lhs = 8:
% 1.65/1.84 pppp8-{F}(V0), g_both-{F}(V0,V1), pppp4-{F}(V0,V2), g_both-{F}(V2,V0), g_true-{F}(V3,V4), g_true-{F}(V4,V3), pppp7-{F}(V3,V5), g_both-{F}(V3,V5) | pppp23-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #227: disj( #5, input, input, exists( #6, #212 ), exists( #8, #182 ) ), references = 1, size of lhs = 9:
% 1.65/1.84 pppp8-{F}(V0), g_both-{F}(V0,V1), pppp4-{F}(V0,V2), g_both-{F}(V2,V0), pppp4-{F}(V2,V0), g_true-{F}(V3,V4), g_true-{F}(V4,V3), pppp7-{F}(V3,V5), g_both-{F}(V3,V5) | pppp23-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #242: disj( #19, #28+#49, input ), references = 1, size of lhs = 5:
% 1.65/1.84 g_true_only-{F}(V0,V1), g_true_only-{F}(V1,V0), pppp16-{F}(V1,V2), g_true_only-{F}(V2,V1), pppp7-{F}(V1,V2) | pppp15-{T}(V1,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #243: disj( #19, #28+#49, #28+#47 ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp14-{F}(V0,V1), g_true_only-{F}(V1,V0), pppp16-{F}(V1,V2), g_true_only-{F}(V2,V1), pppp7-{F}(V1,V2) | pppp15-{T}(V1,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #248: disj( #19, #67+#70+#65, #23+#57 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp16-{F}(V0,V1), pppp0-{F}(V0,V1), pppp5-{F}(V0,V1) | pppp14-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #259: disj( #17, #28+#49, input, input ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp16-{F}(V0,V0), pppp7-{F}(V0,V0), pppp4-{F}(V1,V0) | pppp27-{T}(V0), pppp15-{T}(V0,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #260: disj( #17, #28+#49, input, input ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp16-{F}(V0,V0), pppp7-{F}(V0,V0), pppp4-{F}(V0,V1) | pppp27-{T}(V0), pppp15-{T}(V0,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #265: disj( #252, #23+#58 ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp16-{F}(V0,V0), pppp7-{F}(V0,V0), pppp4-{F}(V0,V0), pppp4-{F}(V1,V0) | pppp27-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #277: exists( #18, #274 ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp27-{F}(V0), pppp8-{F}(V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #278: exists( #18, #273 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp27-{F}(V0), pppp7-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #285: disj( #21, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp5-{F}(V0,V1), pppp15-{F}(V1,V2) | pppp28-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #286: disj( #21, input, input ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp15-{F}(V0,V1), pppp5-{F}(V0,V2) | pppp28-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #289: disj( #20, input ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp5-{F}(V0,V1), pppp15-{F}(V1,V2), g_true_only-{F}(V1,V3), g_true_only-{F}(V3,V1) | g_false_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #290: disj( #20, input ), references = 2, size of lhs = 4:
% 1.65/1.84 pppp15-{F}(V0,V1), g_true_only-{F}(V0,V2), g_true_only-{F}(V2,V0), pppp5-{F}(V0,V3) | g_false_only-{T}(V3,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #297: disj( #19, #28+#49, input ), references = 1, size of lhs = 6:
% 1.65/1.84 g_true_only-{F}(V0,V1), g_true_only-{F}(V1,V0), pppp16-{F}(V1,V2), pppp7-{F}(V1,V2), g_true_only-{F}(V1,V3), g_true_only-{F}(V3,V1) | pppp15-{T}(V1,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #303: disj( #19, #67+#70+#65, #23+#72+#75 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp16-{F}(V0,V1), pppp0-{F}(V0,V1), g_true-{F}(V0,V1) | pppp14-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #306: disj( #21, #72+#75, #72+#75 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp15-{F}(V0,V1), g_true-{F}(V0,V2), g_true-{F}(V2,V0) | pppp28-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #309: exists( #46, #307 ), references = 3, size of lhs = 5:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), pppp15-{F}(V0,V2), g_true_only-{F}(V0,V3), g_true_only-{F}(V3,V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #328: exists( #4, #326 ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp21-{F}(), g_true-{F}(V0,V1), g_true-{F}(V1,V0), pppp7-{F}(V0,V2), g_both-{F}(V0,V2) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #331: mergings( V3 == V6; #329 ), references = 1, size of lhs = 9:
% 1.65/1.84 g_both-{F}(V0,V1), g_both-{F}(V0,V2), pppp4-{F}(V2,V0), pppp7-{F}(V0,V3), g_both-{F}(V0,V3), pppp7-{F}(V4,V3), g_both-{F}(V4,V3), g_true-{F}(V4,V5), g_true-{F}(V5,V4) | pppp20-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #335: exists( #43, #333 ), references = 2, size of lhs = 4:
% 1.65/1.84 pppp31-{F}(V0), pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), pppp15-{F}(V0,V2) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #342: mergings( V2 == V3; #339 ), references = 1, size of lhs = 6:
% 1.65/1.84 g_both-{F}(V0,V1), g_true-{F}(V0,V1), pppp5-{F}(V1,V0), pppp7-{F}(V1,V2), g_false_only-{F}(V1,V2), pppp15-{F}(V1,V3) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #344: mergings( V2 == V3; #340 ), references = 1, size of lhs = 6:
% 1.65/1.84 g_both-{F}(V0,V1), g_true-{F}(V0,V1), pppp13-{F}(V1,V0), pppp7-{F}(V1,V2), g_false_only-{F}(V1,V2), pppp15-{F}(V1,V3) | g_true_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #356: mergings( V2 == V3, V3 == V5, V5 == V6; #351 ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp15-{F}(V0,V1), pppp7-{F}(V0,V2), g_false_only-{F}(V0,V2), pppp15-{F}(V0,V3), pppp5-{F}(V0,V4) | g_true_only-{T}(V4,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #359: disj( #77, exists( #46, #307 ), input ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), pppp15-{F}(V0,V2), pppp5-{F}(V0,V3), g_true_only-{F}(V3,V0) | g_both-{T}(V0,V3)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #360: disj( #77, exists( #46, #307 ), input ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), pppp15-{F}(V0,V2), pppp13-{F}(V0,V3), g_true_only-{F}(V3,V0) | g_both-{T}(V0,V3)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #366: exists( #45, #364 ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp32-{F}(V0), pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1), pppp15-{F}(V0,V2) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #378: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12; #370 ), references = 2, size of lhs = 6:
% 1.65/1.84 pppp15-{F}(V0,V1), pppp15-{F}(V0,V2), pppp15-{F}(V0,V3), pppp7-{F}(V0,V4), g_false_only-{F}(V0,V4), pppp15-{F}(V0,V5) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #386: disj( #17, #28+#62+#65, input, #23+#378 ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp16-{F}(V0,V1), g_false-{F}(V0,V1), pppp7-{F}(V0,V1), pppp4-{F}(V0,V2) | g_false_only-{T}(V0,V2), pppp27-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #389: mergings( V1 == V3; #387 ), references = 1, size of lhs = 5:
% 1.65/1.84 pppp16-{F}(V0,V1), g_false-{F}(V0,V1), pppp7-{F}(V0,V1), g_both-{F}(V0,V1), pppp4-{F}(V0,V2) | g_false_only-{T}(V0,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #394: mergings( V1 == V3, V3 == V4; #391 ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp16-{F}(V0,V1), g_false-{F}(V0,V1), pppp7-{F}(V0,V1), g_both-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #398: disj( #19, #67+#70+#391, #23+#370 ), references = 2, size of lhs = 2:
% 1.65/1.84 pppp16-{F}(V0,V1), pppp7-{F}(V0,V1) | pppp14-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #409: exists( #27, #407 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp30-{F}(V0), pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #411: disj( #25, exists( #27, #407 ) ), references = 2, size of lhs = 3:
% 1.65/1.84 pppp14-{F}(V0,V1), pppp7-{F}(V0,V2), g_true_only-{F}(V0,V2) | pppp29-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #423: disj( #52, input, input ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), g_both-{F}(V0,V2), pppp10-{F}(V0,V2) | pppp34-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #432: exists( #53, #430 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp34-{F}(V0), pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #436: mergings( V2 == V3; #434 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), pppp10-{F}(V0,V2) | g_true_only-{T}(V0,V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #438: disj( #77, input, input ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), g_true_only-{F}(V0,V2), pppp10-{F}(V0,V2) | g_both-{T}(V2,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #440: disj( #50, input, input ), references = 1, size of lhs = 4:
% 1.65/1.84 pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1), pppp10-{F}(V0,V2), g_both-{F}(V2,V0) | pppp33-{T}(V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #445: exists( #51, #443 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp33-{F}(V0), pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #454: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #449 ), references = 2, size of lhs = 3:
% 1.65/1.84 pppp29-{F}(V0), pppp7-{F}(V0,V1), g_true_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #460: exists( #7, #458 ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp23-{F}(V0), pppp8-{F}(V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #465: mergings( V3 == V6; #463 ), references = 3, size of lhs = 10:
% 1.65/1.84 g_both-{F}(V0,V1), g_both-{F}(V0,V2), g_true-{F}(V0,V2), g_true-{F}(V2,V0), pppp7-{F}(V0,V3), g_both-{F}(V0,V3), pppp7-{F}(V4,V3), g_both-{F}(V4,V3), g_true-{F}(V4,V5), g_true-{F}(V5,V4) | pppp20-{T}(V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #469: disj( #5, #72+#75, #72+#75, exists( #8, #182 ) ), references = 1, size of lhs = 8:
% 1.65/1.84 g_both-{F}(V0,V1), g_true-{F}(V1,V0), g_true-{F}(V0,V1), g_both-{F}(V1,V2), g_true-{F}(V3,V4), g_true-{F}(V4,V3), pppp7-{F}(V3,V5), g_both-{F}(V3,V5) | pppp22-{T}(V1), pppp23-{T}(V2)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #480: exists( #3, #478 ), references = 3, size of lhs = 2:
% 1.65/1.84 pppp20-{F}(V0), pppp8-{F}(V0) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #485: disj( #77, input, #67+#69+#463+#479 ), references = 1, size of lhs = 2:
% 1.65/1.84 pppp8-{F}(V0), pppp7-{F}(V0,V0) | g_false_only-{T}(V0,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #490: disj( #77, #67+#69+#465+#480, input ), references = 1, size of lhs = 7:
% 1.65/1.84 pppp8-{F}(V0), g_both-{F}(V1,V0), g_both-{F}(V1,V2), g_true-{F}(V1,V2), pppp5-{F}(V2,V1), pppp7-{F}(V1,V3), g_both-{F}(V1,V3) | g_true_only-{T}(V2,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #499: mergings( V1 == V3; #497 ), references = 1, size of lhs = 4:
% 1.65/1.84 g_both-{F}(V0,V1), pppp5-{F}(V0,V1), pppp7-{F}(V1,V2), g_true_only-{F}(V1,V2) | g_false_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #503: mergings( V2 == V3; #501 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp5-{F}(V0,V1), pppp7-{F}(V1,V2), g_true_only-{F}(V1,V2) | g_true_only-{T}(V0,V1)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #506: disj( #77, #501+#49, #67+#69+#489+#62+#64+#465+#480 ), references = 2, size of lhs = 3:
% 1.65/1.84 pppp8-{F}(V0), pppp5-{F}(V0,V1), pppp7-{F}(V1,V0) | g_false_only-{T}(V1,V0)
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #511: exists( #46, #509 ), references = 1, size of lhs = 3:
% 1.65/1.84 pppp8-{F}(V0), pppp7-{F}(V0,V1), g_false_only-{F}(V0,V1) | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 #515: exists( #0, #513 ), references = 1, size of lhs = 0:
% 1.65/1.84 FALSE | FALSE
% 1.65/1.84 (used 0 times, uses = {})
% 1.65/1.84
% 1.65/1.84 number of learnt formulas = 75
% 1.65/1.84
% 1.65/1.84
% 1.65/1.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.65/1.84
% 1.65/1.84 randbase = 1
%------------------------------------------------------------------------------