TSTP Solution File: COM003+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM003+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM003+3 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 17:18:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.42/0.59 GeoParameters:
% 0.42/0.59
% 0.42/0.59 tptp_input = 1
% 0.42/0.59 tptp_output = 0
% 0.42/0.59 nonempty = 1
% 0.42/0.59 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59
% 0.42/0.59 RuleSystem INPUT:
% 0.42/0.59
% 0.42/0.59 Initial Rules:
% 0.42/0.59 #0: input, references = 5, size of lhs = 1:
% 0.42/0.59 algorithm-{F}(V0) | pppp10-{T}(V0), pppp11-{T}()
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #1: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp10-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #2: input, references = 5, size of lhs = 1:
% 0.42/0.59 pppp11-{F}() | EXISTS V0: pppp2-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #3: input, references = 4, size of lhs = 3:
% 0.42/0.59 pppp2-{F}(V0), program-{F}(V1), #-{F} V2 | decides-{T}(V0,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #4: input, references = 5, size of lhs = 1:
% 0.42/0.59 pppp2-{F}(V0) | program-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #5: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #6: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp1-{F}(V0,V1) | program-{T}(V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #7: input, references = 4, size of lhs = 2:
% 0.42/0.59 pppp0-{F}(V0,V1,V2), decides-{F}(V0,V1,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #8: input, references = 6, size of lhs = 5:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4) | pppp12-{T}(V2), halts3-{T}(V2,V3,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #9: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp12-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #10: input, references = 4, size of lhs = 5:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4) | pppp13-{T}(V2), outputs-{T}(V2,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #11: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp13-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #12: input, references = 9, size of lhs = 5:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), #-{F} V4, program-{F}(V3) | pppp14-{T}(V2), halts2-{T}(V3,V4), halts3-{T}(V2,V3,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #13: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #14: input, references = 6, size of lhs = 5:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), #-{F} V4, program-{F}(V3) | pppp15-{T}(V2), halts2-{T}(V3,V4), outputs-{T}(V2,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #15: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp15-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #16: input, references = 4, size of lhs = 1:
% 0.42/0.59 pppp4-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #17: input, references = 7, size of lhs = 1:
% 0.42/0.59 pppp4-{F}(V0,V1) | program-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #18: input, references = 4, size of lhs = 2:
% 0.42/0.59 pppp3-{F}(V0,V1,V2), decides-{F}(V1,V0,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #19: input, references = 5, size of lhs = 3:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2) | pppp16-{T}(V2,V0,V1), pppp17-{T}(V2,V0,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #20: input, references = 5, size of lhs = 1:
% 0.42/0.59 pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #21: input, references = 8, size of lhs = 1:
% 0.42/0.59 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp8-{T}(V0,V3,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #22: input, references = 3, size of lhs = 4:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3), program-{F}(V4), halts3-{F}(V0,V4,V4), outputs-{F}(V0,V3) | outputs-{T}(V1,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #23: input, references = 9, size of lhs = 4:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3), program-{F}(V4), halts3-{F}(V0,V4,V4), outputs-{F}(V0,V3) | halts2-{T}(V1,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #24: input, references = 8, size of lhs = 5:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3), program-{F}(V4), halts3-{F}(V0,V4,V4), outputs-{F}(V0,V2), halts2-{F}(V1,V4) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #25: input, references = 9, size of lhs = 1:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3) | program-{T}(V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #26: input, references = 6, size of lhs = 1:
% 0.42/0.59 pppp7-{F}(V0,V1,V2,V3) | EXISTS V4: pppp6-{T}(V3,V4,V0,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #27: input, references = 6, size of lhs = 3:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4), halts3-{F}(V2,V0,V1), outputs-{F}(V2,V4) | pppp5-{T}(V0,V1,V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #28: input, references = 5, size of lhs = 2:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4), halts2-{F}(V0,V1) | pppp5-{T}(V0,V1,V2,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #29: input, references = 6, size of lhs = 1:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4) | pppp5-{T}(V0,V1,V2,V3), program-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #30: input, references = 7, size of lhs = 3:
% 0.42/0.59 pppp5-{F}(V0,V1,V2,V3), halts3-{F}(V2,V0,V1), outputs-{F}(V2,V3) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #31: input, references = 8, size of lhs = 1:
% 0.42/0.59 pppp5-{F}(V0,V1,V2,V3) | halts2-{T}(V0,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #32: input, references = 6, size of lhs = 1:
% 0.42/0.59 pppp5-{F}(V0,V1,V2,V3) | program-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #33: input, references = 5, size of lhs = 2:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1) | EXISTS V2: pppp9-{T}(V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #34: input, references = 4, size of lhs = 3:
% 0.42/0.59 pppp9-{F}(V0), program-{F}(V1), #-{F} V2 | decides-{T}(V0,V1,V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #35: input, references = 5, size of lhs = 1:
% 0.42/0.59 pppp9-{F}(V0) | algorithm-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #36: input, references = 4, size of lhs = 0:
% 0.42/0.59 FALSE | EXISTS V0: P_good-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #37: input, references = 4, size of lhs = 0:
% 0.42/0.59 FALSE | EXISTS V0: P_bad-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 number of initial rules = 38
% 0.42/0.59
% 0.42/0.59 Simplifiers:
% 0.42/0.59 #38: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 algorithm-{F}(V0), algorithm-{F}(V1), V0 == V1 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #39: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 P_good-{F}(V0), P_good-{F}(V1), V0 == V1 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #40: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 P_bad-{F}(V0), P_bad-{F}(V1), V0 == V1 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #41: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #42: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #43: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #44: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #45: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #46: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #47: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #48: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #49: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #50: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #51: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #52: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V2,V3,V4), V0 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #53: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #54: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #55: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #56: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #57: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #58: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #59: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #60: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp8-{F}(V0,V1,V2,V3), pppp8-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #61: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #62: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #63: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #64: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #65: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #66: unsound, references = 3, size of lhs = 3:
% 0.42/0.59 pppp17-{F}(V0,V1,V2), pppp17-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 number of simplifiers = 29
% 0.42/0.59
% 0.42/0.59 Learnt:
% 0.42/0.59 #69: exists( #16, #67 ), references = 4, size of lhs = 3:
% 0.42/0.59 pppp2-{F}(V0), program-{F}(V1), pppp4-{F}(V1,V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #72: exists( #15, #70 ), references = 1, size of lhs = 2:
% 0.42/0.59 pppp15-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #75: exists( #13, #73 ), references = 2, size of lhs = 2:
% 0.42/0.59 pppp14-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #78: disj( #12, exists( #13, #73 ), #27+#30 ), references = 1, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), outputs-{F}(V2,V4), outputs-{F}(V2,V5), pppp6-{F}(V3,V6,V2,V5,V4) | halts2-{T}(V3,V6)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #80: disj( #8, input ), references = 2, size of lhs = 7:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V4), pppp5-{F}(V3,V4,V2,V5), outputs-{F}(V2,V5) | pppp12-{T}(V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #83: exists( #9, #81 ), references = 3, size of lhs = 2:
% 0.42/0.59 pppp12-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #95: mergings( V5 == V10, V6 == V11, V7 == V12, V9 == V14, V14 == V3, V8 == V15, V15 == V4; #87 ), references = 1, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), outputs-{F}(V2,V4), pppp6-{F}(V5,V6,V2,V4,V3), pppp6-{F}(V5,V7,V8,V4,V3) | pppp5-{T}(V5,V7,V8,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #105: mergings( V5 == V7, V7 == V9, V6 == V8, V8 == V10; #100 ), references = 4, size of lhs = 7:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), outputs-{F}(V2,V4), pppp7-{F}(V2,V4,V3,V5) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #111: mergings( V4 == V6, V6 == V8, V5 == V7, V7 == V9; #106 ), references = 3, size of lhs = 7:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), outputs-{F}(V2,V4), pppp16-{F}(V2,V4,V3) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #119: mergings( V0 == V5, V5 == V7, V7 == V9, V1 == V6, V6 == V8, V8 == V10; #112 ), references = 1, size of lhs = 7:
% 0.42/0.59 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp16-{F}(V3,V2,V2), #-{F} V4 | halts2-{T}(V0,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #122: exists( #11, #120 ), references = 1, size of lhs = 2:
% 0.42/0.59 pppp13-{F}(V0), pppp2-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #124: disj( #10, exists( #11, #120 ) ), references = 14, size of lhs = 6:
% 0.42/0.59 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)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #138: mergings( V2 == V0, V0 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V12; #127 ), references = 1, size of lhs = 5:
% 0.42/0.59 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2) | pppp17-{T}(V2,V1,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #140: disj( #8, input ), references = 1, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), program-{F}(V3), halts2-{F}(V3,V3), outputs-{F}(V2,V4), halts2-{F}(V5,V3), pppp8-{F}(V2,V5,V4,V6) | pppp12-{T}(V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #149: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7, V2 == V8; #143 ), references = 4, size of lhs = 6:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), pppp8-{F}(V2,V3,V0,V4) | halts3-{T}(V2,V3,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #158: mergings( V0 == V5, V1 == V6, V2 == V7, V10 == V5, V5 == V11; #152 ), references = 1, size of lhs = 9:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), program-{F}(V4), halts3-{F}(V2,V4,V4), pppp8-{F}(V2,V5,V0,V0), #-{F} V6 | halts3-{T}(V2,V3,V6)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #164: mergings( V0 == V5, V1 == V6, V2 == V7; #160 ), references = 3, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), program-{F}(V4), halts3-{F}(V2,V4,V4), pppp8-{F}(V2,V3,V0,V5) | outputs-{T}(V2,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #174: mergings( V3 == V1; #172 ), references = 1, size of lhs = 5:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V0), program-{F}(V1), pppp17-{F}(V1,V0,V0), pppp2-{F}(V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #189: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12; #177 ), references = 1, size of lhs = 3:
% 0.42/0.59 pppp11-{F}(), P_good-{F}(V0), P_bad-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #202: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V12, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12; #190 ), references = 1, size of lhs = 3:
% 0.42/0.59 algorithm-{F}(V0), P_good-{F}(V1), P_bad-{F}(V1) | pppp10-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #205: exists( #5, #203 ), references = 1, size of lhs = 3:
% 0.42/0.59 pppp9-{F}(V0), pppp1-{F}(V0,V1), program-{F}(V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #208: exists( #1, #206 ), references = 1, size of lhs = 2:
% 0.42/0.59 pppp10-{F}(V0), pppp9-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #225: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V1 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14; #211 ), references = 1, size of lhs = 2:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #227: disj( #0, exists( #1, #206 ) ), references = 1, size of lhs = 2:
% 0.42/0.59 algorithm-{F}(V0), pppp9-{F}(V0) | pppp11-{T}()
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #230: exists( #21, #228 ), references = 3, size of lhs = 5:
% 0.42/0.59 program-{F}(V0), halts3-{F}(V1,V0,V0), outputs-{F}(V1,V2), outputs-{F}(V1,V3), pppp17-{F}(V1,V3,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #232: disj( #12, exists( #13, #73 ), exists( #21, #228 ) ), references = 1, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), program-{F}(V3), outputs-{F}(V2,V4), outputs-{F}(V2,V5), pppp17-{F}(V2,V5,V4) | halts2-{T}(V3,V3)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #241: mergings( V1 == V6, V2 == V5; #238 ), references = 2, size of lhs = 7:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V0), outputs-{F}(V2,V3), pppp17-{F}(V2,V0,V3) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #250: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8, V2 == V9, V10 == V11; #243 ), references = 1, size of lhs = 8:
% 0.42/0.59 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), outputs-{F}(V3,V4), pppp17-{F}(V3,V1,V4), #-{F} V5 | halts3-{T}(V3,V0,V5)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #263: exists( #21, #257 ), references = 2, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), pppp17-{F}(V2,V0,V3), outputs-{F}(V2,V3), program-{F}(V4), halts3-{F}(V2,V4,V4) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #267: mergings( V5 == V7, V1 == V6, V2 == V9; #261 ), references = 1, size of lhs = 10:
% 0.42/0.59 program-{F}(V0), halts3-{F}(V1,V0,V0), outputs-{F}(V1,V2), P_good-{F}(V3), pppp17-{F}(V1,V3,V2), P_bad-{F}(V4), program-{F}(V5), pppp2-{F}(V5), outputs-{F}(V5,V2), pppp17-{F}(V5,V3,V2) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #270: mergings( V1 == V5, V2 == V9; #262 ), references = 1, size of lhs = 12:
% 0.42/0.59 program-{F}(V0), halts3-{F}(V1,V0,V0), outputs-{F}(V1,V2), P_good-{F}(V3), pppp17-{F}(V1,V3,V2), P_bad-{F}(V4), program-{F}(V5), pppp2-{F}(V5), outputs-{F}(V5,V2), pppp17-{F}(V5,V3,V2), program-{F}(V6), halts3-{F}(V5,V6,V6) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #290: mergings( V1 == V6, V4 == V5, V5 == V7, V7 == V2; #283 ), references = 1, size of lhs = 5:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), pppp17-{F}(V2,V0,V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #296: mergings( V3 == V1, V1 == V4; #291 ), references = 1, size of lhs = 4:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2) | pppp16-{T}(V2,V0,V1)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #321: mergings( V0 == V5, V5 == V7, V7 == V12, V1 == V6, V6 == V8, V8 == V13, V9 == V2; #308 ), references = 1, size of lhs = 9:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp7-{F}(V2,V0,V3,V4), outputs-{F}(V2,V5), program-{F}(V6), pppp6-{F}(V6,V7,V2,V0,V5) | pppp14-{T}(V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #329: mergings( V0 == V5, V5 == V7, V7 == V11, V1 == V6, V6 == V8, V8 == V12, V9 == V2; #311 ), references = 1, size of lhs = 9:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp16-{F}(V2,V0,V3), outputs-{F}(V2,V4), program-{F}(V5), pppp6-{F}(V5,V6,V2,V0,V4) | pppp14-{T}(V2)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #341: mergings( V0 == V5, V5 == V7, V7 == V12, V12 == V14, V1 == V6, V6 == V8, V8 == V13, V13 == V15, V9 == V16, V10 == V17, V11 == V18; #309 ), references = 1, size of lhs = 10:
% 0.42/0.59 program-{F}(V0), program-{F}(V1), P_good-{F}(V2), P_bad-{F}(V3), program-{F}(V4), pppp2-{F}(V4), outputs-{F}(V4,V5), pppp7-{F}(V4,V2,V5,V6), outputs-{F}(V0,V7), pppp6-{F}(V1,V8,V0,V9,V7) | pppp14-{T}(V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #353: mergings( V5 == V7, V7 == V9, V9 == V14, V6 == V8, V8 == V10, V10 == V15, V11 == V16, V14 == V3, V17 == V4; #343 ), references = 1, size of lhs = 9:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp7-{F}(V2,V0,V3,V4), outputs-{F}(V2,V5), pppp6-{F}(V6,V7,V2,V0,V5), pppp6-{F}(V6,V8,V9,V0,V5) | pppp5-{T}(V6,V8,V9,V0)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #380: mergings( V5 == V7, V7 == V9, V9 == V1, V1 == V15, V15 == V17, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V18, V11 == V0, V0 == V19, V12 == V2, V13 == V3, V2 == V20, V3 == V21; #362 ), references = 1, size of lhs = 6:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V3), pppp7-{F}(V2,V0,V3,V4) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #386: mergings( V0 == V5, V1 == V6; #381 ), references = 2, size of lhs = 7:
% 0.42/0.59 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp2-{F}(V3), pppp7-{F}(V3,V1,V2,V4), #-{F} V5 | halts2-{T}(V0,V5)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #388: disj( #8, exists( #9, #81 ) ), references = 3, size of lhs = 6:
% 0.42/0.59 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)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #398: mergings( V5 == V9, V6 == V10, V7 == V11, V12 == V3, V14 == V4; #392 ), references = 1, size of lhs = 8:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), pppp7-{F}(V2,V0,V1,V3), outputs-{F}(V2,V4), pppp6-{F}(V5,V6,V2,V4,V7), pppp6-{F}(V5,V8,V9,V4,V7) | pppp5-{T}(V5,V8,V9,V4)
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #412: mergings( V5 == V9, V9 == V11, V6 == V10, V10 == V12, V7 == V0, V11 == V1, V12 == V2, V8 == V3; #403 ), references = 1, size of lhs = 6:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1), program-{F}(V2), pppp2-{F}(V2), outputs-{F}(V2,V0), pppp7-{F}(V2,V0,V1,V3) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #423: mergings( V4 == V1, V1 == V8, V8 == V10, V5 == V6, V6 == V2, V2 == V9, V9 == V11; #415 ), references = 1, size of lhs = 6:
% 0.42/0.59 program-{F}(V0), P_good-{F}(V1), P_bad-{F}(V2), program-{F}(V3), pppp16-{F}(V3,V1,V2), pppp2-{F}(V3) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #436: mergings( V3 == V6, V6 == V8, V8 == V10, V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11; #426 ), references = 1, size of lhs = 3:
% 0.42/0.59 pppp11-{F}(), P_good-{F}(V0), P_bad-{F}(V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #451: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13; #439 ), references = 1, size of lhs = 2:
% 0.42/0.59 P_good-{F}(V0), P_bad-{F}(V1) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #457: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #452 ), references = 1, size of lhs = 1:
% 0.42/0.59 P_good-{F}(V0) | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 #459: exists( #36, #452 ), references = 1, size of lhs = 0:
% 0.42/0.59 FALSE | FALSE
% 0.42/0.59 (used 0 times, uses = {})
% 0.42/0.59
% 0.42/0.59 number of learnt formulas = 47
% 0.42/0.59
% 0.42/0.59
% 0.42/0.59 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59
% 0.42/0.59 randbase = 1
%------------------------------------------------------------------------------