TSTP Solution File: PUZ005-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:14:15 EDT 2022
% Result : Unsatisfiable 0.18s 4.36s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/2.89 % Problem : PUZ005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/2.90 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.15/4.03 % Computer : n007.cluster.edu
% 0.15/4.03 % Model : x86_64 x86_64
% 0.15/4.03 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/4.03 % Memory : 8042.1875MB
% 0.15/4.03 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/4.03 % CPULimit : 300
% 0.15/4.03 % WCLimit : 300
% 0.15/4.03 % DateTime : Fri Jul 22 06:43:54 EDT 2022
% 0.15/4.03 % CPUTime :
% 0.18/4.36 GeoParameters:
% 0.18/4.36
% 0.18/4.36 tptp_input = 1
% 0.18/4.36 tptp_output = 0
% 0.18/4.36 nonempty = 1
% 0.18/4.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/4.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/4.36
% 0.18/4.36
% 0.18/4.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/4.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/4.36
% 0.18/4.36 RuleSystem INPUT:
% 0.18/4.36
% 0.18/4.36 Initial Rules:
% 0.18/4.36 #0: input, references = 8, size of lhs = 1:
% 0.18/4.36 #-{F} V0 | monday-{T}(V0), tuesday-{T}(V0), wednesday-{T}(V0), thursday-{T}(V0), friday-{T}(V0), saturday-{T}(V0), sunday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #1: input, references = 5, size of lhs = 2:
% 0.18/4.36 monday-{F}(V0), tuesday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #2: input, references = 3, size of lhs = 2:
% 0.18/4.36 monday-{F}(V0), wednesday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #3: input, references = 3, size of lhs = 2:
% 0.18/4.36 monday-{F}(V0), thursday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #4: input, references = 4, size of lhs = 2:
% 0.18/4.36 monday-{F}(V0), friday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #5: input, references = 5, size of lhs = 2:
% 0.18/4.36 monday-{F}(V0), saturday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #6: input, references = 3, size of lhs = 2:
% 0.18/4.36 monday-{F}(V0), sunday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #7: input, references = 4, size of lhs = 2:
% 0.18/4.36 tuesday-{F}(V0), wednesday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #8: input, references = 3, size of lhs = 2:
% 0.18/4.36 tuesday-{F}(V0), thursday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #9: input, references = 3, size of lhs = 2:
% 0.18/4.36 tuesday-{F}(V0), friday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #10: input, references = 5, size of lhs = 2:
% 0.18/4.36 tuesday-{F}(V0), saturday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #11: input, references = 3, size of lhs = 2:
% 0.18/4.36 tuesday-{F}(V0), sunday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #12: input, references = 5, size of lhs = 2:
% 0.18/4.36 wednesday-{F}(V0), thursday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #13: input, references = 3, size of lhs = 2:
% 0.18/4.36 wednesday-{F}(V0), friday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #14: input, references = 3, size of lhs = 2:
% 0.18/4.36 wednesday-{F}(V0), saturday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #15: input, references = 4, size of lhs = 2:
% 0.18/4.36 wednesday-{F}(V0), sunday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #16: input, references = 4, size of lhs = 2:
% 0.18/4.36 thursday-{F}(V0), friday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #17: input, references = 3, size of lhs = 2:
% 0.18/4.36 thursday-{F}(V0), saturday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #18: input, references = 3, size of lhs = 2:
% 0.18/4.36 thursday-{F}(V0), sunday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #19: input, references = 4, size of lhs = 2:
% 0.18/4.36 friday-{F}(V0), saturday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #20: input, references = 3, size of lhs = 2:
% 0.18/4.36 friday-{F}(V0), sunday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #21: input, references = 4, size of lhs = 2:
% 0.18/4.36 saturday-{F}(V0), sunday-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #22: input, references = 4, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), monday-{F}(V1) | tuesday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #23: input, references = 3, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), tuesday-{F}(V1) | wednesday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #24: input, references = 3, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), wednesday-{F}(V1) | thursday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #25: input, references = 3, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), thursday-{F}(V1) | friday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #26: input, references = 3, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), friday-{F}(V1) | saturday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #27: input, references = 3, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), saturday-{F}(V1) | sunday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #28: input, references = 3, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), sunday-{F}(V1) | monday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #29: input, references = 7, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), tuesday-{F}(V0) | monday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #30: input, references = 7, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), wednesday-{F}(V0) | tuesday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #31: input, references = 5, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), thursday-{F}(V0) | wednesday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #32: input, references = 7, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), friday-{F}(V0) | thursday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #33: input, references = 8, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), saturday-{F}(V0) | friday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #34: input, references = 6, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), sunday-{F}(V0) | saturday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #35: input, references = 4, size of lhs = 2:
% 0.18/4.36 P_yesterday-{F}(V0,V1), monday-{F}(V0) | sunday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #36: input, references = 7, size of lhs = 3:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), member-{F}(V2,V1) | monday-{T}(V2), tuesday-{T}(V2), wednesday-{T}(V2)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #37: input, references = 5, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), member-{F}(V4,V3) | thursday-{T}(V4), friday-{T}(V4), saturday-{T}(V4)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #38: input, references = 5, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), monday-{F}(V4) | member-{T}(V4,V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #39: input, references = 6, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), tuesday-{F}(V4) | member-{T}(V4,V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #40: input, references = 5, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), wednesday-{F}(V4) | member-{T}(V4,V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #41: input, references = 6, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), thursday-{F}(V4) | member-{T}(V4,V3)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #42: input, references = 8, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), friday-{F}(V4) | member-{T}(V4,V3)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #43: input, references = 6, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), saturday-{F}(V4) | member-{T}(V4,V3)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #44: input, references = 5, size of lhs = 6:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V6), admits-{F}(V4,V7,V5) | member-{T}(V5,V6), member-{T}(V7,V6)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #45: input, references = 3, size of lhs = 7:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V6), member-{F}(V5,V6), #-{F} V7 | member-{T}(V7,V6), admits-{T}(V4,V7,V5)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #46: input, references = 10, size of lhs = 8:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V6), member-{F}(V5,V6), member-{F}(V7,V6), admits-{F}(V4,V7,V5) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #47: input, references = 5, size of lhs = 7:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), #-{F} V5, P_lying_days-{F}(V4,V6), member-{F}(V7,V6) | member-{T}(V5,V6), admits-{T}(V4,V7,V5)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #48: input, references = 9, size of lhs = 6:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_today-{F}(V4), P_yesterday-{F}(V4,V5) | admits-{T}(V0,V4,V5)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #49: input, references = 6, size of lhs = 6:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_today-{F}(V4), P_yesterday-{F}(V4,V5) | admits-{T}(V2,V4,V5)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #50: input, references = 5, size of lhs = 7:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_today-{F}(V4), P_yesterday-{F}(V4,V5), thursday-{F}(V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #51: input, references = 10, size of lhs = 1:
% 0.18/4.36 #-{F} V0 | EXISTS V1: P_yesterday-{T}(V0,V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #52: input, references = 25, size of lhs = 1:
% 0.18/4.36 #-{F} V0 | EXISTS V1: P_lying_days-{T}(V0,V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #53: input, references = 4, size of lhs = 0:
% 0.18/4.36 FALSE | EXISTS V0: P_lion-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #54: input, references = 4, size of lhs = 0:
% 0.18/4.36 FALSE | EXISTS V0: P_unicorn-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #55: input, references = 4, size of lhs = 0:
% 0.18/4.36 FALSE | EXISTS V0: P_today-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 number of initial rules = 56
% 0.18/4.36
% 0.18/4.36 Simplifiers:
% 0.18/4.36 #56: unsound, references = 3, size of lhs = 3:
% 0.18/4.36 P_yesterday-{F}(V0,V1), P_yesterday-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #57: unsound, references = 3, size of lhs = 3:
% 0.18/4.36 P_lying_days-{F}(V0,V1), P_lying_days-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #58: unsound, references = 3, size of lhs = 3:
% 0.18/4.36 P_lion-{F}(V0), P_lion-{F}(V1), V0 == V1 | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #59: unsound, references = 3, size of lhs = 3:
% 0.18/4.36 P_unicorn-{F}(V0), P_unicorn-{F}(V1), V0 == V1 | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #60: unsound, references = 3, size of lhs = 3:
% 0.18/4.36 P_today-{F}(V0), P_today-{F}(V1), V0 == V1 | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 number of simplifiers = 5
% 0.18/4.36
% 0.18/4.36 Learnt:
% 0.18/4.36 #67: exists( #52, #65 ), references = 1, size of lhs = 6:
% 0.18/4.36 saturday-{F}(V0), P_today-{F}(V0), P_yesterday-{F}(V0,V1), friday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V2) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #70: exists( #51, #68 ), references = 1, size of lhs = 4:
% 0.18/4.36 saturday-{F}(V0), P_today-{F}(V0), P_lion-{F}(V1), P_unicorn-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #80: exists( #52, #78 ), references = 1, size of lhs = 6:
% 0.18/4.36 wednesday-{F}(V0), P_today-{F}(V0), P_yesterday-{F}(V0,V1), tuesday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V2) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #83: exists( #51, #81 ), references = 1, size of lhs = 4:
% 0.18/4.36 wednesday-{F}(V0), P_today-{F}(V0), P_lion-{F}(V1), P_unicorn-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #88: disj( #37, input, input ), references = 2, size of lhs = 6:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), monday-{F}(V4), member-{F}(V4,V3) | saturday-{T}(V4)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #92: exists( #52, #90 ), references = 3, size of lhs = 3:
% 0.18/4.36 P_lion-{F}(V0), P_unicorn-{F}(V0), monday-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #94: exists( #52, #50 ), references = 1, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_unicorn-{F}(V0), P_today-{F}(V1), thursday-{F}(V1), P_yesterday-{F}(V1,V2) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #96: exists( #51, #93 ), references = 1, size of lhs = 4:
% 0.18/4.36 P_lion-{F}(V0), P_unicorn-{F}(V0), P_today-{F}(V1), thursday-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #104: mergings( V2 == V4, V4 == V6, V1 == V3, V3 == V5, V5 == V7; #98 ), references = 1, size of lhs = 4:
% 0.18/4.36 P_today-{F}(V0), P_yesterday-{F}(V1,V0), P_lion-{F}(V2), P_unicorn-{F}(V2) | tuesday-{T}(V1), wednesday-{T}(V1), saturday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #112: exists( #52, #110 ), references = 1, size of lhs = 6:
% 0.18/4.36 friday-{F}(V0), P_today-{F}(V0), P_yesterday-{F}(V0,V1), thursday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V2) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #115: exists( #51, #113 ), references = 1, size of lhs = 4:
% 0.18/4.36 friday-{F}(V0), P_today-{F}(V0), P_lion-{F}(V1), P_unicorn-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #127: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V10, V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #117 ), references = 1, size of lhs = 4:
% 0.18/4.36 P_today-{F}(V0), P_yesterday-{F}(V1,V0), P_lion-{F}(V2), P_unicorn-{F}(V2) | wednesday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #132: exists( #51, #129 ), references = 2, size of lhs = 3:
% 0.18/4.36 tuesday-{F}(V0), P_lion-{F}(V1), P_unicorn-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #142: mergings( V1 == V2, V2 == V3, V3 == V4; #138 ), references = 1, size of lhs = 3:
% 0.18/4.36 P_today-{F}(V0), P_lion-{F}(V1), P_unicorn-{F}(V1) | wednesday-{T}(V0), thursday-{T}(V0), sunday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #156: disj( #36, input, input ), references = 1, size of lhs = 4:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), friday-{F}(V2), member-{F}(V2,V1) | monday-{T}(V2)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #163: exists( #52, #159 ), references = 2, size of lhs = 3:
% 0.18/4.36 P_unicorn-{F}(V0), P_lion-{F}(V0), friday-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #170: mergings( V1 == V2, V2 == V3, V3 == V5; #165 ), references = 1, size of lhs = 3:
% 0.18/4.36 P_unicorn-{F}(V0), P_lion-{F}(V0), P_yesterday-{F}(V1,V2) | wednesday-{T}(V1), thursday-{T}(V1), sunday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #183: disj( #36, input, input ), references = 1, size of lhs = 4:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), thursday-{F}(V2), member-{F}(V2,V1) | wednesday-{T}(V2)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #187: exists( #52, #185 ), references = 1, size of lhs = 3:
% 0.18/4.36 P_unicorn-{F}(V0), P_lion-{F}(V0), thursday-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #196: mergings( V5 == V6, V0 == V1, V1 == V2, V2 == V3, V3 == V7, V7 == V8; #189 ), references = 1, size of lhs = 3:
% 0.18/4.36 P_unicorn-{F}(V0), P_lion-{F}(V0), P_yesterday-{F}(V1,V2) | sunday-{T}(V1)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #207: disj( #36, input, input ), references = 2, size of lhs = 4:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), saturday-{F}(V2), member-{F}(V2,V1) | tuesday-{T}(V2)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #214: exists( #52, #210 ), references = 1, size of lhs = 3:
% 0.18/4.36 P_unicorn-{F}(V0), P_lion-{F}(V0), saturday-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #227: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #219 ), references = 1, size of lhs = 2:
% 0.18/4.36 P_unicorn-{F}(V0), P_lion-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #325: disj( #0, #22+#1, #29+#1, #32+#16, #33+#19 ), references = 1, size of lhs = 1:
% 0.18/4.36 P_yesterday-{F}(V0,V0) | wednesday-{T}(V0), thursday-{T}(V0), sunday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #343: disj( #244, #30+#7, #31+#12 ), references = 1, size of lhs = 1:
% 0.18/4.36 P_yesterday-{F}(V0,V0) | sunday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #364: mergings( V3 == V7, V2 == V6, V6 == V8, V8 == V9, V7 == V10; #358 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_today-{F}(V0), tuesday-{F}(V0), P_yesterday-{F}(V0,V1), monday-{F}(V1), P_lion-{F}(V2), P_lying_days-{F}(V2,V3), P_unicorn-{F}(V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #366: exists( #52, #358 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_today-{F}(V0), tuesday-{F}(V0), P_yesterday-{F}(V0,V1), monday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #387: mergings( V2 == V6, V3 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11; #380 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_today-{F}(V0), saturday-{F}(V0), P_yesterday-{F}(V0,V1), friday-{F}(V1), P_lion-{F}(V2), P_lying_days-{F}(V2,V3), P_unicorn-{F}(V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #389: exists( #52, #380 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_today-{F}(V0), saturday-{F}(V0), P_yesterday-{F}(V0,V1), friday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #407: mergings( V3 == V7, V2 == V6, V6 == V8, V8 == V9, V7 == V10; #401 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_today-{F}(V0), wednesday-{F}(V0), P_yesterday-{F}(V0,V1), tuesday-{F}(V1), P_lion-{F}(V2), P_lying_days-{F}(V2,V3), P_unicorn-{F}(V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #409: exists( #52, #401 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_today-{F}(V0), wednesday-{F}(V0), P_yesterday-{F}(V0,V1), tuesday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #427: mergings( V0 == V8, V1 == V5; #424 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_unicorn-{F}(V0), P_lying_days-{F}(V0,V1), P_lion-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V3), saturday-{F}(V5), admits-{F}(V4,V6,V5) | member-{T}(V6,V3)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #440: mergings( V0 == V8, V1 == V9, V2 == V10, V3 == V11; #435 ), references = 1, size of lhs = 9:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V5), member-{F}(V6,V5), P_lying_days-{F}(V7,V5), member-{F}(V8,V5), admits-{F}(V7,V9,V8) | admits-{T}(V4,V6,V9)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #453: mergings( V0 == V8, V1 == V9, V2 == V10, V3 == V11; #448 ), references = 1, size of lhs = 9:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V5), member-{F}(V6,V5), P_lying_days-{F}(V7,V5), member-{F}(V8,V5), admits-{F}(V7,V9,V8) | admits-{T}(V4,V6,V9)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #455: disj( #36, input, input ), references = 1, size of lhs = 4:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), sunday-{F}(V2), member-{F}(V2,V1) | wednesday-{T}(V2)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #465: mergings( V3 == V9, V2 == V6, V7 == V9, V6 == V8, V8 == V10; #459 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_today-{F}(V0), sunday-{F}(V0), P_yesterday-{F}(V0,V1), saturday-{F}(V1), P_unicorn-{F}(V2), P_lion-{F}(V3), P_lying_days-{F}(V3,V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #467: exists( #52, #459 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_today-{F}(V0), sunday-{F}(V0), P_yesterday-{F}(V0,V1), saturday-{F}(V1), P_unicorn-{F}(V2), P_lion-{F}(V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #479: mergings( V1 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V9, V9 == V11; #469 ), references = 1, size of lhs = 4:
% 0.18/4.36 P_today-{F}(V0), P_yesterday-{F}(V0,V1), P_unicorn-{F}(V2), P_lion-{F}(V3) | monday-{T}(V0), thursday-{T}(V0), friday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #501: mergings( V2 == V6, V3 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11; #494 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_today-{F}(V0), friday-{F}(V0), P_yesterday-{F}(V0,V1), thursday-{F}(V1), P_lion-{F}(V2), P_lying_days-{F}(V2,V3), P_unicorn-{F}(V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #503: exists( #52, #494 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_today-{F}(V0), friday-{F}(V0), P_yesterday-{F}(V0,V1), thursday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #513: exists( #52, #50 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_today-{F}(V3), thursday-{F}(V3), P_yesterday-{F}(V3,V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #515: exists( #52, #512 ), references = 1, size of lhs = 5:
% 0.18/4.36 P_lion-{F}(V0), P_unicorn-{F}(V1), P_today-{F}(V2), thursday-{F}(V2), P_yesterday-{F}(V2,V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #532: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V15, V15 == V16, V0 == V2, V2 == V4, V4 == V12, V12 == V13, V13 == V17, V1 == V3, V3 == V5, V5 == V11, V11 == V14, V14 == V18; #516 ), references = 1, size of lhs = 4:
% 0.18/4.36 P_today-{F}(V0), P_yesterday-{F}(V0,V1), P_lion-{F}(V2), P_unicorn-{F}(V3) | monday-{T}(V0)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #551: mergings( V0 == V8, V1 == V9, V2 == V10, V3 == V5; #546 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), P_lying_days-{F}(V4,V3), monday-{F}(V5), admits-{F}(V4,V5,V6) | member-{T}(V6,V3)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #553: disj( #37, input, input ), references = 1, size of lhs = 6:
% 0.18/4.36 P_lion-{F}(V0), P_lying_days-{F}(V0,V1), P_unicorn-{F}(V2), P_lying_days-{F}(V2,V3), sunday-{F}(V4), member-{F}(V4,V3) | saturday-{T}(V4)
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #564: mergings( V2 == V6, V3 == V7, V6 == V8, V7 == V9, V8 == V10, V9 == V11; #557 ), references = 1, size of lhs = 7:
% 0.18/4.36 P_today-{F}(V0), monday-{F}(V0), P_yesterday-{F}(V0,V1), sunday-{F}(V1), P_lion-{F}(V2), P_lying_days-{F}(V2,V3), P_unicorn-{F}(V4) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #566: exists( #52, #557 ), references = 1, size of lhs = 6:
% 0.18/4.36 P_today-{F}(V0), monday-{F}(V0), P_yesterday-{F}(V0,V1), sunday-{F}(V1), P_lion-{F}(V2), P_unicorn-{F}(V3) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #582: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15; #569 ), references = 1, size of lhs = 3:
% 0.18/4.36 P_today-{F}(V0), P_lion-{F}(V1), P_unicorn-{F}(V2) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #596: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14; #583 ), references = 1, size of lhs = 2:
% 0.18/4.36 P_lion-{F}(V0), P_unicorn-{F}(V1) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #604: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #597 ), references = 1, size of lhs = 1:
% 0.18/4.36 P_lion-{F}(V0) | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 #606: exists( #53, #597 ), references = 1, size of lhs = 0:
% 0.18/4.36 FALSE | FALSE
% 0.18/4.36 (used 0 times, uses = {})
% 0.18/4.36
% 0.18/4.36 number of learnt formulas = 51
% 0.18/4.36
% 0.18/4.36
% 0.18/4.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/4.36
% 0.18/4.36 randbase = 1
%------------------------------------------------------------------------------