TSTP Solution File: GRP186-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP186-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:03:29 EDT 2022
% Result : Unsatisfiable 70.76s 70.97s
% Output : Refutation 70.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP186-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 13:35:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 70.76/70.97 GeoParameters:
% 70.76/70.97
% 70.76/70.97 tptp_input = 1
% 70.76/70.97 tptp_output = 0
% 70.76/70.97 nonempty = 1
% 70.76/70.97 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.76/70.97 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 70.76/70.97
% 70.76/70.97
% 70.76/70.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.76/70.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.76/70.97
% 70.76/70.97 RuleSystem INPUT:
% 70.76/70.97
% 70.76/70.97 Initial Rules:
% 70.76/70.97 #0: input, references = 4, size of lhs = 3:
% 70.76/70.97 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 70.76/70.97 (used 0 times, uses = {})
% 70.76/70.97
% 70.76/70.97 #1: input, references = 4, size of lhs = 4:
% 70.76/70.97 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 70.76/70.97 (used 0 times, uses = {})
% 70.76/70.97
% 70.76/70.97 #2: input, references = 6, size of lhs = 6:
% 70.76/70.97 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V6,V7), V5 == V7 | FALSE
% 70.76/70.97 (used 0 times, uses = {})
% 70.76/70.97
% 70.76/70.97 #3: input, references = 4, size of lhs = 4:
% 70.76/70.97 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #4: input, references = 4, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #5: input, references = 4, size of lhs = 6:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_greatest_lower_bound-{F}(V1,V4,V5), P_greatest_lower_bound-{F}(V1,V2,V6), P_greatest_lower_bound-{F}(V6,V3,V7), V5 == V7 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #6: input, references = 3, size of lhs = 6:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_least_upper_bound-{F}(V1,V4,V5), P_least_upper_bound-{F}(V1,V2,V6), P_least_upper_bound-{F}(V6,V3,V7), V5 == V7 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #7: input, references = 4, size of lhs = 3:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #8: input, references = 4, size of lhs = 3:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #9: input, references = 4, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #10: input, references = 4, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #11: input, references = 4, size of lhs = 7:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_least_upper_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #12: input, references = 5, size of lhs = 7:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_greatest_lower_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #13: input, references = 3, size of lhs = 7:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V2,V1,V6), P_multiply-{F}(V3,V1,V7), P_least_upper_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #14: input, references = 5, size of lhs = 7:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V2,V1,V6), P_multiply-{F}(V3,V1,V7), P_greatest_lower_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #15: input, references = 6, size of lhs = 8:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_least_upper_bound-{F}(V3,V0,V7), P_inverse-{F}(V1,V5), P_least_upper_bound-{F}(V5,V2,V6), P_multiply-{F}(V1,V6,V7) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #16: input, references = 12, size of lhs = 2:
% 70.76/70.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #17: input, references = 4, size of lhs = 0:
% 70.76/70.98 FALSE | EXISTS V0: P_identity-{T}(V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #18: input, references = 9, size of lhs = 1:
% 70.76/70.98 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #19: input, references = 12, size of lhs = 2:
% 70.76/70.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #20: input, references = 7, size of lhs = 2:
% 70.76/70.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #21: input, references = 4, size of lhs = 0:
% 70.76/70.98 FALSE | EXISTS V0: P_a-{T}(V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #22: input, references = 4, size of lhs = 0:
% 70.76/70.98 FALSE | EXISTS V0: P_b-{T}(V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 number of initial rules = 23
% 70.76/70.98
% 70.76/70.98 Simplifiers:
% 70.76/70.98 #23: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #24: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #25: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #26: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #27: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #28: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #29: unsound, references = 3, size of lhs = 3:
% 70.76/70.98 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 number of simplifiers = 7
% 70.76/70.98
% 70.76/70.98 Learnt:
% 70.76/70.98 #31: exists( #16, #1 ), references = 7, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #34: exists( #19, #8 ), references = 3, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #37: exists( #20, #7 ), references = 1, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), #-{F} V1 | P_least_upper_bound-{T}(V1,V1,V1)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #38: exists( #20, #9 ), references = 3, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #40: exists( #16, #0 ), references = 7, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #42: exists( #16, #2 ), references = 7, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6) | P_multiply-{T}(V1,V6,V5)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #46: mergings( V2 == V3; #44 ), references = 5, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V3) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #53: mergings( V2 == V0, V0 == V3; #50 ), references = 1, size of lhs = 1:
% 70.76/70.98 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #56: exists( #19, #3 ), references = 10, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #62: exists( #20, #4 ), references = 3, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #74: exists( #16, #12 ), references = 6, size of lhs = 5:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_greatest_lower_bound-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #77: exists( #16, #14 ), references = 9, size of lhs = 5:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_greatest_lower_bound-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #88: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V1; #83 ), references = 1, size of lhs = 3:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V0,V1), P_multiply-{F}(V1,V1,V0) | P_greatest_lower_bound-{T}(V1,V0,V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #113: mergings( V3 == V4, V4 == V5; #110 ), references = 2, size of lhs = 5:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V1,V3) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #118: exists( #19, #5 ), references = 6, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V4,V3,V5), P_greatest_lower_bound-{F}(V4,V1,V6) | P_greatest_lower_bound-{T}(V6,V2,V5)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #123: exists( #19, #14 ), references = 4, size of lhs = 5:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_greatest_lower_bound-{T}(V6,V7,V5)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #124: exists( #19, #12 ), references = 1, size of lhs = 5:
% 70.76/70.98 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_greatest_lower_bound-{T}(V6,V7,V5)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #141: exists( #16, #2 ), references = 6, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6) | P_multiply-{T}(V3,V4,V6)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #164: mergings( V10 == V11, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #156 ), references = 1, size of lhs = 12:
% 70.76/70.98 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V1,V0,V2), P_least_upper_bound-{F}(V2,V0,V2), P_inverse-{F}(V1,V3), P_multiply-{F}(V0,V4,V5), P_greatest_lower_bound-{F}(V5,V6,V7), P_multiply-{F}(V7,V8,V3), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V10,V4,V11), P_multiply-{F}(V11,V8,V10) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #180: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #173 ), references = 1, size of lhs = 11:
% 70.76/70.98 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V1,V0,V2), P_least_upper_bound-{F}(V2,V0,V0), P_inverse-{F}(V1,V3), P_multiply-{F}(V4,V3,V3), P_greatest_lower_bound-{F}(V1,V4,V1), P_multiply-{F}(V0,V5,V1), P_multiply-{F}(V6,V5,V7), P_multiply-{F}(V7,V3,V6) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #190: exists( #19, #10 ), references = 1, size of lhs = 2:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #233: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #223 ), references = 1, size of lhs = 13:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V1), P_multiply-{F}(V3,V2,V3), P_multiply-{F}(V4,V5,V1), P_multiply-{F}(V4,V6,V3), P_greatest_lower_bound-{F}(V5,V6,V7), P_multiply-{F}(V8,V4,V2), P_greatest_lower_bound-{F}(V2,V8,V7), P_multiply-{F}(V1,V8,V9), P_multiply-{F}(V3,V8,V10), P_greatest_lower_bound-{F}(V9,V10,V11), P_greatest_lower_bound-{F}(V1,V11,V12), P_greatest_lower_bound-{F}(V3,V12,V11) | P_greatest_lower_bound-{T}(V1,V3,V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #242: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #224 ), references = 1, size of lhs = 13:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V1), P_multiply-{F}(V3,V2,V3), P_multiply-{F}(V4,V5,V1), P_multiply-{F}(V4,V6,V3), P_greatest_lower_bound-{F}(V5,V6,V7), P_multiply-{F}(V8,V4,V2), P_greatest_lower_bound-{F}(V2,V8,V7), P_multiply-{F}(V1,V8,V9), P_multiply-{F}(V3,V8,V10), P_greatest_lower_bound-{F}(V9,V10,V11), P_greatest_lower_bound-{F}(V1,V11,V12), P_greatest_lower_bound-{F}(V3,V12,V11) | P_greatest_lower_bound-{T}(V1,V3,V0)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #314: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #305 ), references = 2, size of lhs = 12:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V1), P_multiply-{F}(V3,V2,V3), P_greatest_lower_bound-{F}(V4,V2,V5), P_multiply-{F}(V0,V5,V6), V6 == V0, P_multiply-{F}(V3,V4,V7), P_multiply-{F}(V1,V4,V8), P_greatest_lower_bound-{F}(V7,V8,V9), P_greatest_lower_bound-{F}(V10,V9,V10), P_greatest_lower_bound-{F}(V1,V11,V10), P_greatest_lower_bound-{F}(V11,V12,V3) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #384: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #379 ), references = 1, size of lhs = 14:
% 70.76/70.98 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V1), P_multiply-{F}(V3,V2,V3), P_multiply-{F}(V1,V4,V5), P_greatest_lower_bound-{F}(V4,V2,V6), P_multiply-{F}(V0,V6,V7), V7 == V0, P_multiply-{F}(V3,V4,V8), P_greatest_lower_bound-{F}(V8,V9,V1), P_greatest_lower_bound-{F}(V9,V10,V5), P_greatest_lower_bound-{F}(V10,V11,V3), P_multiply-{F}(V12,V13,V5), P_multiply-{F}(V14,V13,V8), P_greatest_lower_bound-{F}(V12,V14,V15) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #414: exists( #16, #11 ), references = 1, size of lhs = 5:
% 70.76/70.98 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_least_upper_bound-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #421: mergings( V7 == V9, V3 == V4, V4 == V5; #417 ), references = 1, size of lhs = 8:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_multiply-{F}(V1,V2,V4), P_least_upper_bound-{F}(V4,V0,V5), P_multiply-{F}(V1,V3,V6), P_least_upper_bound-{F}(V4,V6,V5) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #432: mergings( V10 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #425 ), references = 1, size of lhs = 9:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_multiply-{F}(V1,V2,V4), P_least_upper_bound-{F}(V4,V0,V5), P_multiply-{F}(V0,V6,V1), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V8,V3,V7) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #438: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V1; #433 ), references = 1, size of lhs = 8:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V0,V5,V1), P_multiply-{F}(V6,V5,V7), P_multiply-{F}(V7,V3,V6) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #444: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #439 ), references = 1, size of lhs = 7:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_multiply-{F}(V0,V4,V1), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V6,V3,V5) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #453: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #447 ), references = 1, size of lhs = 4:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V0,V1,V1), P_b-{F}(V2) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #460: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #454 ), references = 2, size of lhs = 3:
% 70.76/70.98 P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V0,V1,V1) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #463: exists( #21, #461 ), references = 1, size of lhs = 1:
% 70.76/70.98 P_identity-{F}(V0) | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 #465: exists( #17, #462 ), references = 1, size of lhs = 0:
% 70.76/70.98 FALSE | FALSE
% 70.76/70.98 (used 0 times, uses = {})
% 70.76/70.98
% 70.76/70.98 number of learnt formulas = 34
% 70.76/70.98
% 70.76/70.98
% 70.76/70.98 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.76/70.98
% 70.76/70.98 randbase = 1
%------------------------------------------------------------------------------