TSTP Solution File: SYN312-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN312-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:24:18 EDT 2022
% Result : Unsatisfiable 1.45s 1.66s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN312-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 03:06:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.45/1.66 GeoParameters:
% 1.45/1.66
% 1.45/1.66 tptp_input = 1
% 1.45/1.66 tptp_output = 0
% 1.45/1.66 nonempty = 1
% 1.45/1.66 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.66 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.45/1.66
% 1.45/1.66
% 1.45/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.66
% 1.45/1.66 RuleSystem INPUT:
% 1.45/1.66
% 1.45/1.66 Initial Rules:
% 1.45/1.66 #0: input, references = 75, size of lhs = 2:
% 1.45/1.66 p-{F}(V2,V0,V1), p-{F}(V3,V2,V1) | p-{T}(V3,V0,V1)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #1: input, references = 68, size of lhs = 1:
% 1.45/1.66 p-{F}(V0,V2,V1) | p-{T}(V1,V2,V0)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #2: input, references = 64, size of lhs = 1:
% 1.45/1.66 p-{F}(V0,V2,V1) | p-{T}(V2,V0,V1)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #3: input, references = 19, size of lhs = 2:
% 1.45/1.66 P_f-{F}(V1,V3), p-{F}(V0,V2,V1) | p-{T}(V0,V2,V3)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #4: input, references = 18, size of lhs = 2:
% 1.45/1.66 P_g-{F}(V0,V3), p-{F}(V0,V2,V1) | p-{T}(V3,V2,V1)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #5: input, references = 11, size of lhs = 4:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3) | p-{T}(V0,V2,V3)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #6: input, references = 11, size of lhs = 5:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4) | p-{T}(V2,V4,V3)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #7: input, references = 6, size of lhs = 12:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_f-{F}(V5,V6), P_g-{F}(V4,V7), P_f-{F}(V7,V8), P_g-{F}(V3,V9), P_f-{F}(V9,V10), p-{F}(V6,V8,V10) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #8: input, references = 17, size of lhs = 1:
% 1.45/1.66 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #9: input, references = 12, size of lhs = 1:
% 1.45/1.66 #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #10: input, references = 4, size of lhs = 0:
% 1.45/1.66 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #11: input, references = 4, size of lhs = 0:
% 1.45/1.66 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #12: input, references = 5, size of lhs = 0:
% 1.45/1.66 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #13: input, references = 6, size of lhs = 0:
% 1.45/1.66 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 number of initial rules = 14
% 1.45/1.66
% 1.45/1.66 Simplifiers:
% 1.45/1.66 #14: unsound, references = 3, size of lhs = 3:
% 1.45/1.66 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #15: unsound, references = 3, size of lhs = 3:
% 1.45/1.66 P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #16: unsound, references = 3, size of lhs = 3:
% 1.45/1.66 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #17: unsound, references = 3, size of lhs = 3:
% 1.45/1.66 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #18: unsound, references = 3, size of lhs = 3:
% 1.45/1.66 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #19: unsound, references = 3, size of lhs = 3:
% 1.45/1.66 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 number of simplifiers = 6
% 1.45/1.66
% 1.45/1.66 Learnt:
% 1.45/1.66 #26: exists( #8, #24 ), references = 1, size of lhs = 9:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V4,V5), P_g-{F}(V3,V5), p-{F}(V5,V6,V5) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #35: exists( #9, #33 ), references = 1, size of lhs = 8:
% 1.45/1.66 P_a-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), p-{F}(V0,V3,V4), P_f-{F}(V4,V5), p-{F}(V3,V6,V5) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #43: mergings( V2 == V3, V0 == V3; #40 ), references = 1, size of lhs = 4:
% 1.45/1.66 P_b-{F}(V0), P_a-{F}(V0), P_c-{F}(V0), P_d-{F}(V0) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #56: exists( #8, #54 ), references = 4, size of lhs = 17:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_f-{F}(V5,V6), P_g-{F}(V4,V7), P_g-{F}(V3,V8), P_f-{F}(V8,V9), p-{F}(V6,V10,V9), p-{F}(V10,V11,V9), p-{F}(V9,V12,V11), p-{F}(V12,V13,V11), p-{F}(V13,V14,V7), p-{F}(V14,V15,V13), p-{F}(V15,V11,V13) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #80: exists( #9, #78 ), references = 3, size of lhs = 15:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_f-{F}(V5,V6), P_g-{F}(V3,V7), P_f-{F}(V7,V8), P_f-{F}(V9,V8), p-{F}(V6,V9,V8), p-{F}(V8,V9,V10), p-{F}(V8,V10,V9), p-{F}(V4,V11,V10), p-{F}(V11,V8,V10) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #94: exists( #8, #92 ), references = 1, size of lhs = 11:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), p-{F}(V4,V4,V4), P_g-{F}(V0,V4), P_g-{F}(V3,V4), p-{F}(V4,V5,V4), p-{F}(V5,V6,V4), p-{F}(V6,V4,V4) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #118: exists( #8, #114 ), references = 1, size of lhs = 11:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V3,V5), P_g-{F}(V4,V6), P_f-{F}(V6,V7), p-{F}(V7,V8,V7), p-{F}(V9,V7,V5) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #119: exists( #8, #115 ), references = 2, size of lhs = 13:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V3,V5), P_g-{F}(V4,V6), p-{F}(V7,V8,V5), p-{F}(V8,V9,V8), p-{F}(V10,V8,V9), p-{F}(V9,V11,V6), p-{F}(V11,V10,V9) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #123: exists( #9, #121 ), references = 2, size of lhs = 12:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V3,V5), p-{F}(V4,V6,V7), p-{F}(V8,V7,V8), p-{F}(V9,V8,V5), p-{F}(V10,V8,V7), p-{F}(V6,V10,V7) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #138: exists( #9, #136 ), references = 1, size of lhs = 9:
% 1.45/1.66 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_d-{F}(V3), p-{F}(V0,V3,V3), p-{F}(V3,V4,V3), p-{F}(V4,V5,V3), p-{F}(V0,V6,V5) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #156: mergings( V2 == V3, V3 == V4; #153 ), references = 1, size of lhs = 4:
% 1.45/1.66 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_d-{F}(V2) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #160: mergings( V1 == V2, V2 == V3; #157 ), references = 1, size of lhs = 3:
% 1.45/1.66 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #166: exists( #8, #164 ), references = 2, size of lhs = 15:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_f-{F}(V5,V6), P_g-{F}(V4,V7), P_g-{F}(V3,V8), p-{F}(V9,V6,V8), p-{F}(V9,V9,V8), p-{F}(V6,V10,V9), p-{F}(V10,V11,V7), p-{F}(V11,V12,V10), p-{F}(V12,V9,V10) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #178: exists( #9, #176 ), references = 1, size of lhs = 11:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_f-{F}(V5,V6), P_g-{F}(V4,V7), p-{F}(V3,V6,V8), p-{F}(V6,V8,V8), p-{F}(V6,V7,V8) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #193: exists( #8, #189 ), references = 2, size of lhs = 14:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V4,V6), P_g-{F}(V3,V7), p-{F}(V7,V7,V7), p-{F}(V8,V7,V5), p-{F}(V7,V9,V7), p-{F}(V9,V10,V6), p-{F}(V10,V11,V9), p-{F}(V11,V7,V9) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #194: exists( #8, #190 ), references = 2, size of lhs = 17:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V4,V6), P_g-{F}(V3,V7), P_f-{F}(V7,V8), p-{F}(V9,V8,V10), p-{F}(V10,V9,V5), p-{F}(V10,V11,V8), p-{F}(V8,V12,V11), p-{F}(V12,V13,V11), p-{F}(V13,V14,V6), p-{F}(V14,V15,V13), p-{F}(V15,V11,V13) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #213: exists( #9, #211 ), references = 2, size of lhs = 15:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V4,V6), P_g-{F}(V7,V5), p-{F}(V3,V8,V7), p-{F}(V8,V9,V7), p-{F}(V9,V10,V5), p-{F}(V8,V11,V7), p-{F}(V3,V12,V11), p-{F}(V11,V13,V6), p-{F}(V13,V12,V11) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #222: exists( #9, #220 ), references = 4, size of lhs = 14:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V4,V5), p-{F}(V3,V6,V0), p-{F}(V7,V6,V0), P_g-{F}(V7,V8), p-{F}(V3,V9,V6), p-{F}(V6,V10,V5), p-{F}(V10,V9,V6), p-{F}(V0,V11,V12), p-{F}(V11,V6,V12) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #237: mergings( V2 == V4, V3 == V6, V6 == V7; #233 ), references = 1, size of lhs = 5:
% 1.45/1.66 P_a-{F}(V0), P_c-{F}(V1), P_b-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V3) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #271: mergings( V2 == V4, V3 == V6, V5 == V7; #267 ), references = 1, size of lhs = 5:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V3,V2) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #336: mergings( V6 == V7, V2 == V0, V3 == V5; #332 ), references = 1, size of lhs = 5:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_g-{F}(V2,V3) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #339: mergings( V2 == V3; #337 ), references = 1, size of lhs = 4:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #342: mergings( V1 == V2; #340 ), references = 1, size of lhs = 3:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #345: mergings( V1 == V2; #343 ), references = 1, size of lhs = 2:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #379: mergings( V2 == V3, V3 == V5, V4 == V6; #375 ), references = 1, size of lhs = 7:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_d-{F}(V1), P_c-{F}(V2), P_g-{F}(V2,V1), P_g-{F}(V0,V3), P_f-{F}(V3,V1) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #406: mergings( V2 == V3, V3 == V5, V4 == V6; #402 ), references = 1, size of lhs = 6:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_g-{F}(V0,V3), P_g-{F}(V2,V3) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #416: exists( #9, #410 ), references = 1, size of lhs = 12:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), p-{F}(V3,V5,V0), p-{F}(V4,V5,V0), p-{F}(V4,V6,V5), p-{F}(V3,V7,V5), p-{F}(V6,V7,V5), p-{F}(V0,V8,V9), p-{F}(V8,V5,V9) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #417: exists( #9, #411 ), references = 1, size of lhs = 14:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V6,V5), p-{F}(V3,V7,V6), p-{F}(V7,V8,V6), p-{F}(V8,V9,V5), p-{F}(V7,V10,V6), p-{F}(V4,V11,V10), p-{F}(V3,V12,V10), p-{F}(V11,V12,V10) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #418: exists( #9, #412 ), references = 1, size of lhs = 16:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_f-{F}(V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_g-{F}(V0,V5), P_g-{F}(V3,V6), P_f-{F}(V6,V7), p-{F}(V4,V8,V9), p-{F}(V8,V10,V9), p-{F}(V10,V11,V9), p-{F}(V7,V12,V11), p-{F}(V12,V9,V11), p-{F}(V13,V11,V7), p-{F}(V14,V7,V13), p-{F}(V13,V14,V5) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #479: mergings( V2 == V3; #476 ), references = 1, size of lhs = 4:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #482: mergings( V1 == V2; #480 ), references = 1, size of lhs = 3:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #485: mergings( V1 == V2; #483 ), references = 1, size of lhs = 2:
% 1.45/1.66 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #488: mergings( V1 == V2; #486 ), references = 1, size of lhs = 1:
% 1.45/1.66 P_a-{F}(V0) | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 #490: exists( #10, #486 ), references = 1, size of lhs = 0:
% 1.45/1.66 FALSE | FALSE
% 1.45/1.66 (used 0 times, uses = {})
% 1.45/1.66
% 1.45/1.66 number of learnt formulas = 34
% 1.45/1.66
% 1.45/1.66
% 1.45/1.66 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.66
% 1.45/1.66 randbase = 1
%------------------------------------------------------------------------------