TSTP Solution File: GRP193-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP193-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:03:31 EDT 2022
% Result : Unsatisfiable 54.14s 54.29s
% Output : Refutation 54.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP193-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 13:37:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 54.14/54.29 GeoParameters:
% 54.14/54.29
% 54.14/54.29 tptp_input = 1
% 54.14/54.29 tptp_output = 0
% 54.14/54.29 nonempty = 1
% 54.14/54.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.14/54.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 54.14/54.29
% 54.14/54.29
% 54.14/54.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.14/54.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.14/54.29
% 54.14/54.29 RuleSystem INPUT:
% 54.14/54.29
% 54.14/54.29 Initial Rules:
% 54.14/54.29 #0: input, references = 4, size of lhs = 3:
% 54.14/54.29 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #1: input, references = 4, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #2: input, references = 7, size of lhs = 6:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #3: input, references = 4, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #4: input, references = 4, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #5: input, references = 4, size of lhs = 6:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #6: input, references = 3, size of lhs = 6:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #7: input, references = 4, size of lhs = 3:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #8: input, references = 4, size of lhs = 3:
% 54.14/54.29 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #9: input, references = 4, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #10: input, references = 4, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #11: input, references = 5, size of lhs = 7:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #12: input, references = 5, size of lhs = 7:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #13: input, references = 5, size of lhs = 7:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #14: input, references = 5, size of lhs = 7:
% 54.14/54.29 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
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #15: input, references = 4, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), V2 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #16: input, references = 4, size of lhs = 6:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), V4 == V3 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #17: input, references = 4, size of lhs = 8:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), V6 == V5 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #18: input, references = 4, size of lhs = 9:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), V7 == V0 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #19: input, references = 3, size of lhs = 14:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V3,V5,V8), P_greatest_lower_bound-{F}(V1,V8,V9), P_greatest_lower_bound-{F}(V1,V5,V10), P_multiply-{F}(V7,V10,V11), P_least_upper_bound-{F}(V9,V11,V12), V12 == V11 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #20: input, references = 12, size of lhs = 13:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V3,V5,V8), P_greatest_lower_bound-{F}(V1,V8,V10), P_greatest_lower_bound-{F}(V1,V5,V10), P_multiply-{F}(V7,V10,V11), P_least_upper_bound-{F}(V10,V11,V12) | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #21: input, references = 22, size of lhs = 2:
% 54.14/54.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #22: input, references = 4, size of lhs = 0:
% 54.14/54.29 FALSE | EXISTS V0: P_identity-{T}(V0)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #23: input, references = 9, size of lhs = 1:
% 54.14/54.29 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #24: input, references = 13, size of lhs = 2:
% 54.14/54.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #25: input, references = 10, size of lhs = 2:
% 54.14/54.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #26: input, references = 4, size of lhs = 0:
% 54.14/54.29 FALSE | EXISTS V0: P_a-{T}(V0)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #27: input, references = 5, size of lhs = 0:
% 54.14/54.29 FALSE | EXISTS V0: P_b-{T}(V0)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #28: input, references = 7, size of lhs = 0:
% 54.14/54.29 FALSE | EXISTS V0: P_c-{T}(V0)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 number of initial rules = 29
% 54.14/54.29
% 54.14/54.29 Simplifiers:
% 54.14/54.29 #29: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #30: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #31: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #32: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #33: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #34: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #35: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #36: unsound, references = 3, size of lhs = 3:
% 54.14/54.29 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 number of simplifiers = 8
% 54.14/54.29
% 54.14/54.29 Learnt:
% 54.14/54.29 #38: exists( #21, #1 ), references = 9, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #40: exists( #21, #0 ), references = 12, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #42: exists( #24, #8 ), references = 2, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #45: exists( #25, #7 ), references = 3, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), #-{F} V1 | P_least_upper_bound-{T}(V1,V1,V1)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #46: exists( #25, #9 ), references = 1, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #49: exists( #21, #2 ), references = 8, size of lhs = 4:
% 54.14/54.29 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)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #54: mergings( V2 == V3; #52 ), references = 3, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V3) | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #58: exists( #24, #3 ), references = 9, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #67: exists( #25, #4 ), references = 2, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #68: exists( #25, #11 ), references = 1, size of lhs = 5:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_least_upper_bound-{T}(V6,V7,V5)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #84: exists( #25, #13 ), references = 6, size of lhs = 5:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_least_upper_bound-{T}(V6,V7,V5)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #87: exists( #24, #10 ), references = 11, size of lhs = 2:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #106: exists( #25, #17 ), references = 5, size of lhs = 6:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5) | P_least_upper_bound-{T}(V0,V5,V5)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #118: mergings( V1 == V4, V4 == V5, V8 == V9, V2 == V5, V6 == V9, V5 == V3, V7 == V9; #110 ), references = 1, size of lhs = 7:
% 54.14/54.29 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V0), P_least_upper_bound-{F}(V0,V0,V1), P_greatest_lower_bound-{F}(V0,V0,V2), P_multiply-{F}(V2,V0,V3), P_least_upper_bound-{F}(V0,V3,V4) | FALSE
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #154: exists( #25, #16 ), references = 3, size of lhs = 4:
% 54.14/54.29 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3) | P_least_upper_bound-{T}(V0,V3,V3)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #165: exists( #21, #11 ), references = 1, size of lhs = 5:
% 54.14/54.29 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)
% 54.14/54.29 (used 0 times, uses = {})
% 54.14/54.29
% 54.14/54.29 #167: exists( #21, #13 ), references = 1, size of lhs = 5:
% 54.14/54.29 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_least_upper_bound-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #173: mergings( V3 == V4, V4 == V5; #170 ), references = 1, size of lhs = 5:
% 54.14/54.30 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
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #176: exists( #24, #5 ), references = 11, size of lhs = 4:
% 54.14/54.30 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)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #189: exists( #21, #2 ), references = 5, size of lhs = 4:
% 54.14/54.30 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)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #204: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #199 ), references = 3, size of lhs = 17:
% 54.14/54.30 P_c-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_least_upper_bound-{F}(V0,V0,V5), P_greatest_lower_bound-{F}(V1,V3,V6), P_greatest_lower_bound-{F}(V1,V0,V7), P_multiply-{F}(V6,V7,V8), P_least_upper_bound-{F}(V7,V8,V9), P_greatest_lower_bound-{F}(V1,V10,V7), P_multiply-{F}(V0,V11,V12), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V13,V14,V10), P_multiply-{F}(V15,V11,V16), P_multiply-{F}(V16,V14,V15) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #219: mergings( V2 == V0; #216 ), references = 1, size of lhs = 1:
% 54.14/54.30 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #255: mergings( V3 == V4, V4 == V5; #251 ), references = 1, size of lhs = 13:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_greatest_lower_bound-{F}(V1,V5,V1), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V1,V8), P_least_upper_bound-{F}(V1,V8,V9), P_multiply-{F}(V10,V5,V1), P_least_upper_bound-{F}(V10,V3,V3) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #260: mergings( V3 == V4, V4 == V5, V5 == V6, V1 == V6; #252 ), references = 1, size of lhs = 14:
% 54.14/54.30 P_c-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_greatest_lower_bound-{F}(V1,V0,V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_least_upper_bound-{F}(V0,V0,V5), P_greatest_lower_bound-{F}(V1,V3,V6), P_multiply-{F}(V6,V1,V7), P_least_upper_bound-{F}(V1,V7,V8), P_least_upper_bound-{F}(V9,V3,V3), P_multiply-{F}(V9,V0,V1), P_multiply-{F}(V0,V10,V0) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #292: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V15 == V8; #286 ), references = 2, size of lhs = 16:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_greatest_lower_bound-{F}(V1,V5,V1), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V1,V8), P_least_upper_bound-{F}(V1,V8,V9), P_multiply-{F}(V10,V5,V11), P_multiply-{F}(V12,V10,V3), P_least_upper_bound-{F}(V13,V12,V12), P_multiply-{F}(V13,V11,V14), P_greatest_lower_bound-{F}(V15,V14,V1) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #322: mergings( V3 == V4, V4 == V5, V5 == V6, V12 == V7; #316 ), references = 3, size of lhs = 14:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_greatest_lower_bound-{F}(V1,V5,V1), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V1,V8), P_least_upper_bound-{F}(V1,V8,V9), P_least_upper_bound-{F}(V10,V3,V3), P_multiply-{F}(V10,V5,V11), P_greatest_lower_bound-{F}(V12,V11,V1) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #328: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V20; #317 ), references = 3, size of lhs = 16:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_greatest_lower_bound-{F}(V1,V5,V1), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V1,V8), P_least_upper_bound-{F}(V1,V8,V9), P_least_upper_bound-{F}(V0,V10,V10), P_multiply-{F}(V10,V11,V3), P_least_upper_bound-{F}(V12,V11,V11), P_multiply-{F}(V12,V5,V13), P_greatest_lower_bound-{F}(V14,V13,V1) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #348: mergings( V1 == V4, V4 == V5, V9 == V10, V2 == V5, V6 == V8, V3 == V10, V7 == V10; #339 ), references = 1, size of lhs = 8:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V0), P_least_upper_bound-{F}(V0,V0,V1), P_b-{F}(V2), P_least_upper_bound-{F}(V0,V2,V2), P_greatest_lower_bound-{F}(V0,V2,V3), P_multiply-{F}(V3,V0,V4), P_least_upper_bound-{F}(V0,V4,V5) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #355: mergings( V1 == V4, V4 == V5, V2 == V5, V6 == V8, V3 == V9, V7 == V10; #340 ), references = 1, size of lhs = 11:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V0), P_least_upper_bound-{F}(V0,V0,V1), P_b-{F}(V2), P_least_upper_bound-{F}(V0,V2,V3), P_greatest_lower_bound-{F}(V0,V2,V4), P_multiply-{F}(V4,V0,V5), P_least_upper_bound-{F}(V0,V5,V6), P_least_upper_bound-{F}(V0,V7,V7), P_least_upper_bound-{F}(V0,V8,V8), P_multiply-{F}(V7,V8,V2) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #369: mergings( V2 == V4, V4 == V5, V1 == V3, V6 == V7, V3 == V5, V7 == V8; #361 ), references = 1, size of lhs = 5:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V0), P_least_upper_bound-{F}(V0,V0,V1), P_multiply-{F}(V0,V0,V2), P_least_upper_bound-{F}(V0,V2,V3) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #433: mergings( V3 == V4; #431 ), references = 1, size of lhs = 7:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V5), P_greatest_lower_bound-{F}(V6,V7,V3), P_multiply-{F}(V6,V4,V8), P_multiply-{F}(V7,V4,V9), P_greatest_lower_bound-{F}(V8,V9,V10) | P_multiply-{T}(V1,V5,V10)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #504: exists( #25, #15 ), references = 1, size of lhs = 2:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1) | P_least_upper_bound-{T}(V0,V1,V1)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #508: exists( #24, #14 ), references = 9, size of lhs = 5:
% 54.14/54.30 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)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #512: exists( #24, #12 ), references = 8, size of lhs = 5:
% 54.14/54.30 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)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #530: mergings( V3 == V4, V4 == V5, V5 == V6; #526 ), references = 2, size of lhs = 9:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_greatest_lower_bound-{F}(V1,V3,V0), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V5,V5), P_least_upper_bound-{F}(V0,V5,V6) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #540: mergings( V1 == V4, V2 == V7, V5 == V8, V4 == V3, V6 == V9; #534 ), references = 1, size of lhs = 6:
% 54.14/54.30 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_greatest_lower_bound-{F}(V1,V0,V0), P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V0,V3) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #562: mergings( V3 == V4; #560 ), references = 2, size of lhs = 7:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6) | P_greatest_lower_bound-{T}(V3,V1,V0)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #580: mergings( V3 == V4, V4 == V5; #577 ), references = 2, size of lhs = 10:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_greatest_lower_bound-{F}(V6,V2,V7), P_multiply-{F}(V7,V4,V8), P_multiply-{F}(V6,V4,V9), P_multiply-{F}(V1,V8,V10), P_multiply-{F}(V1,V9,V11), P_greatest_lower_bound-{F}(V11,V5,V12), V10 == V12 | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #586: mergings( V3 == V4, V4 == V5, V5 == V6; #582 ), references = 3, size of lhs = 12:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V7,V8), P_multiply-{F}(V8,V9,V10), P_multiply-{F}(V11,V9,V6), P_greatest_lower_bound-{F}(V11,V7,V12), P_multiply-{F}(V12,V9,V13), P_multiply-{F}(V1,V13,V14), P_greatest_lower_bound-{F}(V5,V10,V15), V14 == V15 | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #659: mergings( V2 == V3, V3 == V4; #655 ), references = 1, size of lhs = 6:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V5,V4), P_multiply-{F}(V2,V5,V6), V6 == V2 | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #662: mergings( V2 == V3, V3 == V4; #656 ), references = 1, size of lhs = 11:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V4,V5,V7), P_multiply-{F}(V2,V8,V9), P_multiply-{F}(V10,V8,V7), P_greatest_lower_bound-{F}(V10,V4,V11), P_multiply-{F}(V11,V8,V4), P_greatest_lower_bound-{F}(V6,V9,V12), V2 == V12 | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #668: mergings( V3 == V4, V4 == V5; #664 ), references = 2, size of lhs = 4:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V5,V4) | P_multiply-{T}(V2,V5,V2)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #672: mergings( V3 == V4, V4 == V5, V5 == V6; #665 ), references = 1, size of lhs = 7:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V7,V5,V6), P_greatest_lower_bound-{F}(V7,V4,V8), P_multiply-{F}(V8,V5,V4) | P_multiply-{T}(V2,V5,V2)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #684: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V13 == V14; #677 ), references = 1, size of lhs = 13:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_multiply-{F}(V0,V4,V3), P_least_upper_bound-{F}(V0,V3,V5), P_c-{F}(V6), P_multiply-{F}(V0,V6,V0), P_least_upper_bound-{F}(V0,V6,V7), P_greatest_lower_bound-{F}(V1,V3,V8), P_greatest_lower_bound-{F}(V1,V6,V8), P_multiply-{F}(V8,V8,V9), P_least_upper_bound-{F}(V8,V9,V10) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #691: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V16 == V6, V12 == V13; #678 ), references = 1, size of lhs = 13:
% 54.14/54.30 P_c-{F}(V0), P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_multiply-{F}(V0,V4,V3), P_least_upper_bound-{F}(V0,V3,V5), P_least_upper_bound-{F}(V0,V0,V6), P_greatest_lower_bound-{F}(V1,V0,V7), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V7,V8), P_least_upper_bound-{F}(V7,V8,V9) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #757: mergings( V3 == V4, V4 == V5; #754 ), references = 3, size of lhs = 16:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_greatest_lower_bound-{F}(V1,V5,V8), P_multiply-{F}(V7,V8,V9), P_least_upper_bound-{F}(V8,V9,V10), P_greatest_lower_bound-{F}(V11,V5,V12), P_multiply-{F}(V3,V12,V13), P_multiply-{F}(V3,V11,V14), P_greatest_lower_bound-{F}(V15,V13,V8), P_greatest_lower_bound-{F}(V15,V14,V1) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #771: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #763 ), references = 1, size of lhs = 19:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V3,V8,V5), P_greatest_lower_bound-{F}(V8,V1,V9), P_multiply-{F}(V3,V9,V10), P_multiply-{F}(V11,V1,V1), P_greatest_lower_bound-{F}(V3,V12,V11), P_multiply-{F}(V12,V1,V13), P_greatest_lower_bound-{F}(V13,V10,V14), P_multiply-{F}(V7,V14,V15), P_least_upper_bound-{F}(V14,V15,V16), P_multiply-{F}(V3,V14,V17), P_greatest_lower_bound-{F}(V13,V17,V14) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #836: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #831 ), references = 1, size of lhs = 22:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V3,V1,V8), P_greatest_lower_bound-{F}(V8,V5,V9), P_multiply-{F}(V10,V11,V9), P_greatest_lower_bound-{F}(V12,V10,V13), P_multiply-{F}(V13,V11,V14), P_multiply-{F}(V7,V14,V15), P_least_upper_bound-{F}(V14,V15,V16), P_multiply-{F}(V3,V14,V17), P_multiply-{F}(V12,V18,V8), P_greatest_lower_bound-{F}(V11,V18,V19), P_multiply-{F}(V12,V19,V1), P_multiply-{F}(V20,V11,V17), P_greatest_lower_bound-{F}(V12,V20,V21), P_multiply-{F}(V21,V11,V14) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #866: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #859 ), references = 1, size of lhs = 19:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V1,V8), P_least_upper_bound-{F}(V1,V8,V9), P_least_upper_bound-{F}(V10,V3,V3), P_multiply-{F}(V10,V5,V5), P_multiply-{F}(V11,V12,V1), P_greatest_lower_bound-{F}(V13,V14,V11), P_multiply-{F}(V14,V12,V15), P_greatest_lower_bound-{F}(V16,V1,V15), P_multiply-{F}(V13,V17,V16), P_greatest_lower_bound-{F}(V12,V17,V18), P_multiply-{F}(V13,V18,V5) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #871: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #860 ), references = 1, size of lhs = 21:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V7,V1,V8), P_least_upper_bound-{F}(V1,V8,V9), P_least_upper_bound-{F}(V0,V10,V10), P_multiply-{F}(V11,V5,V5), P_least_upper_bound-{F}(V11,V12,V12), P_multiply-{F}(V10,V12,V3), P_multiply-{F}(V13,V14,V1), P_greatest_lower_bound-{F}(V15,V16,V13), P_multiply-{F}(V16,V14,V17), P_greatest_lower_bound-{F}(V18,V1,V17), P_multiply-{F}(V15,V19,V18), P_greatest_lower_bound-{F}(V14,V19,V20), P_multiply-{F}(V15,V20,V5) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #876: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #861 ), references = 1, size of lhs = 21:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_greatest_lower_bound-{F}(V1,V3,V7), P_multiply-{F}(V3,V1,V8), P_greatest_lower_bound-{F}(V9,V8,V1), P_multiply-{F}(V10,V11,V5), P_greatest_lower_bound-{F}(V12,V13,V11), P_multiply-{F}(V10,V13,V14), P_greatest_lower_bound-{F}(V14,V1,V15), P_multiply-{F}(V16,V12,V15), P_greatest_lower_bound-{F}(V10,V16,V17), P_multiply-{F}(V17,V12,V18), P_multiply-{F}(V7,V18,V19), P_least_upper_bound-{F}(V18,V19,V20), P_multiply-{F}(V3,V18,V21), P_greatest_lower_bound-{F}(V9,V21,V18) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #879: exists( #24, #580 ), references = 1, size of lhs = 8:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_greatest_lower_bound-{F}(V6,V2,V7), P_multiply-{F}(V7,V4,V8), P_multiply-{F}(V6,V4,V9), P_multiply-{F}(V1,V8,V10), P_multiply-{F}(V1,V9,V11) | P_greatest_lower_bound-{T}(V11,V5,V10)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #880: exists( #24, #586 ), references = 1, size of lhs = 10:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V7,V8), P_multiply-{F}(V8,V9,V10), P_multiply-{F}(V11,V9,V6), P_greatest_lower_bound-{F}(V11,V7,V12), P_multiply-{F}(V12,V9,V13), P_multiply-{F}(V1,V13,V14) | P_greatest_lower_bound-{T}(V5,V10,V14)
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #895: mergings( V3 == V4, V4 == V5, V5 == V6; #891 ), references = 2, size of lhs = 11:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_greatest_lower_bound-{F}(V1,V3,V0), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_multiply-{F}(V3,V5,V7), P_greatest_lower_bound-{F}(V8,V7,V5), P_greatest_lower_bound-{F}(V1,V8,V1) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #902: mergings( V3 == V4, V4 == V5; #899 ), references = 1, size of lhs = 15:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_greatest_lower_bound-{F}(V1,V3,V0), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V9,V1), P_multiply-{F}(V8,V10,V1), P_greatest_lower_bound-{F}(V9,V11,V10), P_multiply-{F}(V12,V11,V7), P_greatest_lower_bound-{F}(V8,V12,V13), P_multiply-{F}(V13,V11,V5) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #906: mergings( V3 == V4, V4 == V5; #903 ), references = 1, size of lhs = 13:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_b-{F}(V3), P_greatest_lower_bound-{F}(V1,V3,V0), P_least_upper_bound-{F}(V0,V3,V4), P_c-{F}(V5), P_least_upper_bound-{F}(V0,V5,V6), P_multiply-{F}(V7,V5,V5), P_greatest_lower_bound-{F}(V8,V3,V7), P_multiply-{F}(V8,V9,V1), P_greatest_lower_bound-{F}(V9,V5,V10), P_multiply-{F}(V8,V10,V1) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #915: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V13; #909 ), references = 1, size of lhs = 12:
% 54.14/54.30 P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V0,V2,V1), P_least_upper_bound-{F}(V0,V1,V3), P_b-{F}(V4), P_greatest_lower_bound-{F}(V1,V4,V0), P_least_upper_bound-{F}(V0,V4,V5), P_c-{F}(V6), P_multiply-{F}(V0,V6,V6), P_least_upper_bound-{F}(V0,V6,V7), P_greatest_lower_bound-{F}(V8,V6,V8), P_multiply-{F}(V0,V8,V0) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #934: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V13 == V15, V17 == V18, V1 == V12, V10 == V15, V2 == V16, V11 == V18; #921 ), references = 1, size of lhs = 7:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_a-{F}(V1), P_multiply-{F}(V0,V2,V1), P_least_upper_bound-{F}(V0,V1,V3), P_b-{F}(V4), P_least_upper_bound-{F}(V0,V4,V5) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #948: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V13 == V15, V1 == V2, V10 == V11, V2 == V12, V11 == V15; #936 ), references = 1, size of lhs = 5:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_a-{F}(V1), P_multiply-{F}(V0,V2,V1), P_least_upper_bound-{F}(V0,V1,V3) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #958: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #951 ), references = 1, size of lhs = 2:
% 54.14/54.30 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0) | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 #961: exists( #22, #959 ), references = 1, size of lhs = 0:
% 54.14/54.30 FALSE | FALSE
% 54.14/54.30 (used 0 times, uses = {})
% 54.14/54.30
% 54.14/54.30 number of learnt formulas = 61
% 54.14/54.30
% 54.14/54.30
% 54.14/54.30 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.14/54.30
% 54.14/54.30 randbase = 1
%------------------------------------------------------------------------------