TSTP Solution File: COM003+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 05:59:15 EDT 2022
% Result : Theorem 0.66s 0.86s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 : Fri Jul 22 16:55:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/0.86 GeoParameters:
% 0.66/0.86
% 0.66/0.86 tptp_input = 1
% 0.66/0.86 tptp_output = 0
% 0.66/0.86 nonempty = 1
% 0.66/0.86 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.86 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.66/0.86
% 0.66/0.86
% 0.66/0.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.86
% 0.66/0.86 RuleSystem INPUT:
% 0.66/0.86
% 0.66/0.86 Initial Rules:
% 0.66/0.86 #0: input, references = 5, size of lhs = 1:
% 0.66/0.86 algorithm-{F}(V0) | pppp13-{T}(V0), pppp14-{T}()
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #1: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp13-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #2: input, references = 5, size of lhs = 1:
% 0.66/0.86 pppp14-{F}() | EXISTS V0: pppp2-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #3: input, references = 4, size of lhs = 3:
% 0.66/0.86 pppp2-{F}(V0), program-{F}(V1), #-{F} V2 | decides-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #4: input, references = 5, size of lhs = 1:
% 0.66/0.86 pppp2-{F}(V0) | program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #5: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #6: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp1-{F}(V0,V1) | program-{T}(V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #7: input, references = 4, size of lhs = 2:
% 0.66/0.86 pppp0-{F}(V0,V1,V2), decides-{F}(V0,V1,V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #8: input, references = 4, size of lhs = 5:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4) | pppp15-{T}(V2), halts3-{T}(V2,V3,V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #9: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp15-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #10: input, references = 5, size of lhs = 5:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4) | pppp16-{T}(V2), outputs-{T}(V2,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #11: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp16-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #12: input, references = 8, size of lhs = 5:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), #-{F} V4, program-{F}(V3) | pppp17-{T}(V2), halts2-{T}(V3,V4), halts3-{T}(V2,V3,V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #13: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp17-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #14: input, references = 11, size of lhs = 5:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), #-{F} V4, program-{F}(V3) | pppp18-{T}(V2), halts2-{T}(V3,V4), outputs-{T}(V2,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #15: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp18-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #16: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #17: input, references = 7, size of lhs = 1:
% 0.66/0.86 pppp4-{F}(V0,V1) | program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #18: input, references = 4, size of lhs = 2:
% 0.66/0.86 pppp3-{F}(V0,V1,V2), decides-{F}(V1,V0,V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #19: input, references = 6, size of lhs = 3:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp19-{T}(V2,V0,V1), pppp20-{T}(V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #20: input, references = 6, size of lhs = 1:
% 0.66/0.86 pppp19-{F}(V0,V1,V2) | EXISTS V3: pppp6-{T}(V3,V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #21: input, references = 8, size of lhs = 1:
% 0.66/0.86 pppp20-{F}(V0,V1) | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #22: input, references = 8, size of lhs = 1:
% 0.66/0.86 pppp8-{F}(V0,V1,V2) | pppp7-{T}(V2,V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #23: input, references = 8, size of lhs = 2:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), program-{F}(V3) | halts2-{T}(V3,V3), outputs-{T}(V0,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #24: input, references = 5, size of lhs = 2:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), program-{F}(V3) | halts2-{T}(V3,V3), halts2-{T}(V0,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #25: input, references = 10, size of lhs = 3:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), program-{F}(V3), halts2-{F}(V3,V3) | outputs-{T}(V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #26: input, references = 8, size of lhs = 3:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), program-{F}(V3), halts2-{F}(V3,V3) | halts2-{T}(V0,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #27: input, references = 8, size of lhs = 1:
% 0.66/0.86 pppp7-{F}(V0,V1,V2) | program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #28: input, references = 8, size of lhs = 3:
% 0.66/0.86 pppp6-{F}(V0,V1,V2,V3), halts3-{F}(V1,V0,V0), outputs-{F}(V1,V3) | pppp5-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #29: input, references = 4, size of lhs = 2:
% 0.66/0.86 pppp6-{F}(V0,V1,V2,V3), halts2-{F}(V0,V0) | pppp5-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #30: input, references = 5, size of lhs = 1:
% 0.66/0.86 pppp6-{F}(V0,V1,V2,V3) | pppp5-{T}(V0,V1,V2), program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #31: input, references = 8, size of lhs = 3:
% 0.66/0.86 pppp5-{F}(V0,V1,V2), halts3-{F}(V1,V0,V0), outputs-{F}(V1,V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #32: input, references = 9, size of lhs = 1:
% 0.66/0.86 pppp5-{F}(V0,V1,V2) | halts2-{T}(V0,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #33: input, references = 5, size of lhs = 1:
% 0.66/0.86 pppp5-{F}(V0,V1,V2) | program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #34: input, references = 4, size of lhs = 3:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp21-{T}(V2,V0,V1), pppp22-{T}(V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #35: input, references = 7, size of lhs = 1:
% 0.66/0.86 pppp21-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V3,V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #36: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp22-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #37: input, references = 4, size of lhs = 2:
% 0.66/0.86 pppp11-{F}(V0,V1), program-{F}(V2) | halts2-{T}(V2,V2), outputs-{T}(V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #38: input, references = 4, size of lhs = 2:
% 0.66/0.86 pppp11-{F}(V0,V1), program-{F}(V2) | halts2-{T}(V2,V2), halts2-{T}(V0,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #39: input, references = 4, size of lhs = 4:
% 0.66/0.86 pppp11-{F}(V0,V1), program-{F}(V2), halts2-{F}(V2,V2), halts2-{F}(V0,V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #40: input, references = 4, size of lhs = 1:
% 0.66/0.86 pppp11-{F}(V0,V1) | program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #41: input, references = 4, size of lhs = 3:
% 0.66/0.86 pppp10-{F}(V0,V1,V2,V3), halts2-{F}(V1,V0), outputs-{F}(V1,V3) | pppp9-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #42: input, references = 8, size of lhs = 2:
% 0.66/0.86 pppp10-{F}(V0,V1,V2,V3), halts2-{F}(V0,V0) | pppp9-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #43: input, references = 6, size of lhs = 1:
% 0.66/0.86 pppp10-{F}(V0,V1,V2,V3) | pppp9-{T}(V0,V1,V2), program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #44: input, references = 14, size of lhs = 3:
% 0.66/0.86 pppp9-{F}(V0,V1,V2), halts2-{F}(V1,V0), outputs-{F}(V1,V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #45: input, references = 6, size of lhs = 1:
% 0.66/0.86 pppp9-{F}(V0,V1,V2) | halts2-{T}(V0,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #46: input, references = 6, size of lhs = 1:
% 0.66/0.86 pppp9-{F}(V0,V1,V2) | program-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #47: input, references = 5, size of lhs = 2:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1) | EXISTS V2: pppp12-{T}(V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #48: input, references = 4, size of lhs = 3:
% 0.66/0.86 pppp12-{F}(V0), program-{F}(V1), #-{F} V2 | decides-{T}(V0,V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #49: input, references = 5, size of lhs = 1:
% 0.66/0.86 pppp12-{F}(V0) | algorithm-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #50: input, references = 4, size of lhs = 0:
% 0.66/0.86 FALSE | EXISTS V0: P_good-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #51: input, references = 4, size of lhs = 0:
% 0.66/0.86 FALSE | EXISTS V0: P_bad-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 number of initial rules = 52
% 0.66/0.86
% 0.66/0.86 Simplifiers:
% 0.66/0.86 #52: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 algorithm-{F}(V0), algorithm-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #53: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 P_good-{F}(V0), P_good-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #54: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 P_bad-{F}(V0), P_bad-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #55: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #56: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #57: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #58: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #59: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #60: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #61: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #62: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #63: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #64: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #65: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #66: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #67: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #68: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #69: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #70: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #71: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #72: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #73: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #74: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #75: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #76: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #77: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #78: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #79: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V1 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #80: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #81: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #82: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #83: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp19-{F}(V0,V1,V2), pppp19-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #84: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V0 == V2 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #85: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #86: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #87: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #88: unsound, references = 3, size of lhs = 3:
% 0.66/0.86 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 number of simplifiers = 37
% 0.66/0.86
% 0.66/0.86 Learnt:
% 0.66/0.86 #91: exists( #16, #89 ), references = 5, size of lhs = 3:
% 0.66/0.86 pppp2-{F}(V0), program-{F}(V1), pppp4-{F}(V1,V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #94: exists( #13, #92 ), references = 2, size of lhs = 2:
% 0.66/0.86 pppp17-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #96: disj( #10, input ), references = 1, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4), halts2-{F}(V2,V5), pppp9-{F}(V5,V2,V0) | pppp16-{T}(V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #99: exists( #11, #97 ), references = 1, size of lhs = 2:
% 0.66/0.86 pppp16-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #103: disj( #10, exists( #11, #97 ) ), references = 15, size of lhs = 6:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4) | outputs-{T}(V2,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #107: exists( #9, #105 ), references = 1, size of lhs = 2:
% 0.66/0.86 pppp15-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #109: disj( #8, exists( #9, #105 ) ), references = 2, size of lhs = 6:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4) | halts3-{T}(V2,V3,V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #114: disj( #30, #32+#33+#108+#31 ), references = 1, size of lhs = 6:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp6-{F}(V4,V2,V3,V5) | program-{T}(V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #121: mergings( V0 == V4, V1 == V5, V2 == V6; #117 ), references = 1, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), outputs-{F}(V2,V4), pppp6-{F}(V3,V2,V4,V5) | halts3-{T}(V2,V3,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #130: mergings( V4 == V6, V6 == V8, V5 == V7, V7 == V9; #125 ), references = 8, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), outputs-{F}(V2,V4), pppp19-{F}(V2,V4,V3) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #134: exists( #15, #132 ), references = 1, size of lhs = 2:
% 0.66/0.86 pppp18-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #145: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V2 == V13; #135 ), references = 1, size of lhs = 6:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp19-{F}(V3,V1,V1) | outputs-{T}(V3,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #158: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12; #147 ), references = 1, size of lhs = 5:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2) | pppp20-{T}(V1,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #162: mergings( V3 == V1, V2 == V0; #159 ), references = 1, size of lhs = 2:
% 0.66/0.86 program-{F}(V0), pppp11-{F}(V0,V1) | outputs-{T}(V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #166: mergings( V3 == V1, V2 == V0; #163 ), references = 1, size of lhs = 2:
% 0.66/0.86 program-{F}(V0), pppp11-{F}(V0,V1) | halts2-{T}(V0,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #170: exists( #36, #168 ), references = 1, size of lhs = 1:
% 0.66/0.86 pppp22-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #172: disj( #34, exists( #36, #168 ) ), references = 7, size of lhs = 3:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp21-{T}(V2,V0,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #175: disj( #24, #41+#44 ), references = 1, size of lhs = 5:
% 0.66/0.86 program-{F}(V0), outputs-{F}(V1,V2), outputs-{F}(V1,V3), pppp10-{F}(V0,V1,V3,V2), pppp7-{F}(V1,V4,V5) | halts2-{T}(V0,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #187: mergings( V7 == V12, V8 == V13, V4 == V9, V6 == V10, V10 == V2, V5 == V11, V11 == V3; #179 ), references = 3, size of lhs = 5:
% 0.66/0.86 outputs-{F}(V0,V1), outputs-{F}(V0,V2), pppp10-{F}(V3,V0,V2,V1), pppp10-{F}(V3,V4,V2,V1), pppp7-{F}(V0,V5,V6) | pppp9-{T}(V3,V4,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #199: mergings( V6 == V9, V9 == V12, V7 == V10, V10 == V13, V1 == V8, V8 == V11; #192 ), references = 2, size of lhs = 8:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), pppp10-{F}(V4,V2,V1,V1), pppp7-{F}(V2,V5,V6), #-{F} V7 | halts2-{T}(V3,V7)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #216: mergings( V3 == V5, V1 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V12 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16; #204 ), references = 1, size of lhs = 7:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), pppp2-{F}(V3), pppp21-{F}(V3,V2,V2), program-{F}(V3), pppp7-{F}(V3,V2,V4) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #220: disj( #23, #42+#44 ), references = 2, size of lhs = 4:
% 0.66/0.86 program-{F}(V0), outputs-{F}(V0,V1), pppp10-{F}(V0,V0,V1,V2), pppp7-{F}(V3,V4,V5) | outputs-{T}(V3,V5)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #228: mergings( V4 == V6, V5 == V7; #225 ), references = 7, size of lhs = 4:
% 0.66/0.86 outputs-{F}(V0,V1), outputs-{F}(V0,V2), pppp21-{F}(V0,V2,V1), pppp7-{F}(V0,V3,V4) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #239: mergings( V0 == V5, V1 == V6, V2 == V7, V11 == V12, V12 == V14, V10 == V13, V13 == V15; #231 ), references = 1, size of lhs = 9:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), pppp2-{F}(V2), program-{F}(V2), program-{F}(V3), pppp10-{F}(V2,V2,V0,V4), pppp21-{F}(V5,V6,V6), pppp7-{F}(V5,V7,V6), #-{F} V8 | halts3-{T}(V2,V3,V8)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #244: mergings( V5 == V7, V6 == V8; #241 ), references = 1, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), pppp21-{F}(V4,V5,V5), pppp7-{F}(V4,V5,V6) | outputs-{T}(V2,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #249: mergings( V5 == V7, V6 == V8; #246 ), references = 1, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), pppp21-{F}(V4,V5,V5), pppp7-{F}(V4,V5,V6) | halts3-{T}(V2,V3,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #257: mergings( V5 == V7, V7 == V1, V6 == V8, V8 == V2, V4 == V0; #251 ), references = 1, size of lhs = 3:
% 0.66/0.86 program-{F}(V0), pppp21-{F}(V1,V2,V2), pppp7-{F}(V1,V2,V3) | outputs-{T}(V1,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #263: exists( #21, #261 ), references = 1, size of lhs = 4:
% 0.66/0.86 P_good-{F}(V0), pppp20-{F}(V0,V0), P_bad-{F}(V0), program-{F}(V1) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #277: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11; #266 ), references = 1, size of lhs = 3:
% 0.66/0.86 pppp14-{F}(), P_good-{F}(V0), P_bad-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #289: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11; #278 ), references = 1, size of lhs = 3:
% 0.66/0.86 algorithm-{F}(V0), P_good-{F}(V1), P_bad-{F}(V1) | pppp13-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #292: exists( #5, #290 ), references = 1, size of lhs = 3:
% 0.66/0.86 pppp12-{F}(V0), pppp1-{F}(V0,V1), program-{F}(V1) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #295: exists( #1, #293 ), references = 2, size of lhs = 2:
% 0.66/0.86 pppp13-{F}(V0), pppp12-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #311: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13; #298 ), references = 1, size of lhs = 2:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #314: disj( #14, exists( #15, #132 ), #42+#44 ), references = 4, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), outputs-{F}(V3,V4), pppp10-{F}(V3,V3,V4,V5) | outputs-{T}(V2,V1)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #322: mergings( V6 == V8, V8 == V1, V7 == V9, V9 == V2, V4 == V0; #316 ), references = 3, size of lhs = 4:
% 0.66/0.86 program-{F}(V0), outputs-{F}(V1,V2), pppp21-{F}(V1,V3,V2), pppp7-{F}(V1,V3,V4) | halts2-{T}(V1,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #330: exists( #21, #328 ), references = 3, size of lhs = 6:
% 0.66/0.86 program-{F}(V0), outputs-{F}(V0,V1), pppp10-{F}(V0,V0,V1,V2), P_good-{F}(V3), pppp20-{F}(V3,V4), P_bad-{F}(V4) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #338: mergings( V0 == V5, V5 == V9, V1 == V6, V6 == V10, V2 == V7; #332 ), references = 1, size of lhs = 7:
% 0.66/0.86 pppp2-{F}(V0), program-{F}(V0), program-{F}(V1), P_good-{F}(V2), pppp10-{F}(V0,V0,V2,V3), pppp20-{F}(V2,V4), P_bad-{F}(V4) | outputs-{T}(V0,V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #343: mergings( V4 == V8, V5 == V9; #340 ), references = 1, size of lhs = 8:
% 0.66/0.86 pppp2-{F}(V0), program-{F}(V0), program-{F}(V1), P_good-{F}(V2), pppp10-{F}(V0,V0,V2,V3), pppp20-{F}(V2,V4), P_bad-{F}(V4), pppp7-{F}(V5,V6,V7) | outputs-{T}(V5,V7)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #361: mergings( V0 == V3, V3 == V8, V8 == V11, V11 == V15, V1 == V4, V4 == V9, V9 == V12, V12 == V16, V5 == V13, V7 == V14; #350 ), references = 1, size of lhs = 8:
% 0.66/0.86 program-{F}(V0), program-{F}(V1), pppp2-{F}(V2), program-{F}(V2), P_good-{F}(V3), pppp10-{F}(V2,V2,V3,V4), pppp20-{F}(V3,V5), P_bad-{F}(V5) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #369: mergings( V3 == V9, V9 == V0, V4 == V10, V10 == V1, V5 == V11, V7 == V12; #362 ), references = 1, size of lhs = 8:
% 0.66/0.86 program-{F}(V0), program-{F}(V1), program-{F}(V2), pppp2-{F}(V3), program-{F}(V3), P_good-{F}(V4), pppp10-{F}(V3,V3,V4,V5), P_bad-{F}(V6) | pppp19-{T}(V0,V4,V6)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #380: mergings( V0 == V5, V5 == V7, V7 == V9, V1 == V6, V6 == V8, V8 == V10, V2 == V11; #372 ), references = 3, size of lhs = 8:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp19-{F}(V3,V1,V2), pppp10-{F}(V3,V3,V1,V4), #-{F} V5 | halts3-{T}(V3,V0,V5)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #387: mergings( V4 == V6, V5 == V7; #384 ), references = 2, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp19-{F}(V2,V0,V3), pppp6-{F}(V4,V5,V6,V7) | program-{T}(V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #409: mergings( V4 == V6, V6 == V10, V10 == V1, V5 == V7, V7 == V11, V11 == V12, V8 == V0, V9 == V12, V12 == V2; #398 ), references = 2, size of lhs = 7:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), pppp19-{F}(V2,V0,V1), outputs-{F}(V2,V1), pppp10-{F}(V2,V2,V0,V3) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #446: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V1 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V11 == V2, V12 == V21; #426 ), references = 1, size of lhs = 7:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp19-{F}(V3,V1,V2), pppp10-{F}(V3,V3,V1,V4) | pppp18-{T}(V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #464: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V20, V1 == V6, V6 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V7 == V12, V12 == V2, V9 == V13, V13 == V22; #428 ), references = 1, size of lhs = 7:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp19-{F}(V3,V1,V2), pppp10-{F}(V3,V3,V1,V4) | pppp18-{T}(V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #484: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V1 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V11 == V2, V12 == V19, V23 == V22; #427 ), references = 1, size of lhs = 7:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp19-{F}(V3,V1,V2), pppp10-{F}(V3,V3,V1,V4) | pppp18-{T}(V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #503: mergings( V0 == V4, V4 == V6, V6 == V10, V1 == V5, V5 == V7, V7 == V11, V8 == V2; #494 ), references = 2, size of lhs = 9:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp19-{F}(V2,V0,V3), outputs-{F}(V2,V4), program-{F}(V5), pppp6-{F}(V5,V2,V0,V4) | pppp17-{T}(V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #514: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V14, V1 == V5, V5 == V7, V7 == V11, V11 == V15, V8 == V16, V9 == V17; #495 ), references = 1, size of lhs = 10:
% 0.66/0.86 program-{F}(V0), program-{F}(V1), outputs-{F}(V0,V2), pppp6-{F}(V1,V0,V3,V2), P_good-{F}(V4), P_bad-{F}(V5), program-{F}(V6), pppp2-{F}(V6), outputs-{F}(V6,V7), pppp19-{F}(V6,V4,V7) | pppp17-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #524: mergings( V4 == V1, V5 == V8, V6 == V0, V7 == V2, V2 == V9; #518 ), references = 1, size of lhs = 6:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp19-{F}(V2,V0,V3) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #530: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #525 ), references = 3, size of lhs = 7:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp19-{F}(V3,V1,V2), #-{F} V4 | halts2-{T}(V0,V4)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #536: mergings( V8 == V2, V9 == V3; #533 ), references = 1, size of lhs = 9:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), pppp19-{F}(V2,V0,V1), halts2-{F}(V3,V4), outputs-{F}(V3,V5), pppp10-{F}(V4,V3,V5,V6), pppp10-{F}(V4,V7,V5,V6) | pppp9-{T}(V4,V7,V5)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #549: mergings( V3 == V6, V6 == V0, V4 == V5, V5 == V7, V7 == V1, V8 == V2, V11 == V12; #541 ), references = 1, size of lhs = 6:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp10-{F}(V4,V3,V1,V5) | pppp20-{T}(V1,V2)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #554: mergings( V1 == V5, V2 == V6; #551 ), references = 2, size of lhs = 4:
% 0.66/0.86 program-{F}(V0), outputs-{F}(V1,V2), pppp21-{F}(V1,V2,V3), pppp7-{F}(V1,V4,V3) | halts2-{T}(V0,V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #565: mergings( V7 == V11, V6 == V12, V4 == V8, V9 == V2, V10 == V3; #559 ), references = 1, size of lhs = 6:
% 0.66/0.86 outputs-{F}(V0,V1), pppp21-{F}(V0,V1,V2), outputs-{F}(V0,V3), pppp7-{F}(V0,V4,V2), pppp10-{F}(V5,V0,V3,V6), pppp10-{F}(V5,V7,V3,V6) | pppp9-{T}(V5,V7,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #578: mergings( V7 == V8, V8 == V10, V6 == V9, V4 == V0, V9 == V11, V5 == V1, V11 == V2; #570 ), references = 1, size of lhs = 3:
% 0.66/0.86 outputs-{F}(V0,V1), pppp21-{F}(V0,V1,V2), pppp7-{F}(V0,V3,V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #584: exists( #21, #582 ), references = 2, size of lhs = 5:
% 0.66/0.86 program-{F}(V0), halts2-{F}(V0,V0), P_good-{F}(V1), pppp20-{F}(V1,V2), P_bad-{F}(V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #588: mergings( V0 == V4, V1 == V5; #585 ), references = 1, size of lhs = 6:
% 0.66/0.86 program-{F}(V0), pppp2-{F}(V0), program-{F}(V1), P_good-{F}(V2), pppp20-{F}(V2,V3), P_bad-{F}(V3) | outputs-{T}(V0,V3)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #592: disj( #23, exists( #21, #582 ) ), references = 2, size of lhs = 5:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), pppp20-{F}(V1,V2), P_bad-{F}(V2), pppp7-{F}(V3,V4,V5) | outputs-{T}(V3,V5)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #606: mergings( V4 == V0, V0 == V6, V5 == V1, V1 == V7; #601 ), references = 1, size of lhs = 4:
% 0.66/0.86 program-{F}(V0), P_good-{F}(V1), pppp20-{F}(V1,V2), P_bad-{F}(V2) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #615: mergings( V4 == V1, V1 == V11, V5 == V6, V6 == V7, V7 == V12, V0 == V9; #608 ), references = 1, size of lhs = 7:
% 0.66/0.86 program-{F}(V0), program-{F}(V1), pppp2-{F}(V1), program-{F}(V2), P_good-{F}(V3), pppp21-{F}(V1,V3,V4), P_bad-{F}(V5) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #625: mergings( V2 == V5, V5 == V7, V1 == V3, V3 == V4, V4 == V6, V6 == V8; #618 ), references = 1, size of lhs = 3:
% 0.66/0.86 pppp14-{F}(), P_good-{F}(V0), P_bad-{F}(V1) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #633: mergings( V2 == V5, V5 == V7, V1 == V3, V3 == V4, V4 == V6, V6 == V8; #626 ), references = 1, size of lhs = 3:
% 0.66/0.86 algorithm-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2) | pppp13-{T}(V0)
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #645: mergings( V0 == V4, V4 == V7, V7 == V9, V1 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10; #636 ), references = 1, size of lhs = 2:
% 0.66/0.86 P_good-{F}(V0), P_bad-{F}(V1) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #650: mergings( V1 == V2, V2 == V3, V3 == V4; #646 ), references = 1, size of lhs = 1:
% 0.66/0.86 P_good-{F}(V0) | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 #652: exists( #50, #646 ), references = 1, size of lhs = 0:
% 0.66/0.86 FALSE | FALSE
% 0.66/0.86 (used 0 times, uses = {})
% 0.66/0.86
% 0.66/0.86 number of learnt formulas = 65
% 0.66/0.86
% 0.66/0.86
% 0.66/0.86 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.86
% 0.66/0.86 randbase = 1
%------------------------------------------------------------------------------