TSTP Solution File: GRP170-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP170-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:03:26 EDT 2022
% Result : Unsatisfiable 4.40s 4.68s
% Output : Refutation 4.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP170-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n010.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 14:02:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.40/4.68 GeoParameters:
% 4.40/4.68
% 4.40/4.68 tptp_input = 1
% 4.40/4.68 tptp_output = 0
% 4.40/4.68 nonempty = 1
% 4.40/4.68 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.40/4.68 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.40/4.68
% 4.40/4.68
% 4.40/4.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.40/4.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.40/4.68
% 4.40/4.68 RuleSystem INPUT:
% 4.40/4.68
% 4.40/4.68 Initial Rules:
% 4.40/4.68 #0: input, references = 4, size of lhs = 3:
% 4.40/4.68 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #1: input, references = 4, size of lhs = 4:
% 4.40/4.68 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #2: input, references = 5, size of lhs = 6:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #3: input, references = 4, size of lhs = 4:
% 4.40/4.68 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #4: input, references = 4, size of lhs = 4:
% 4.40/4.68 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #5: input, references = 4, size of lhs = 6:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #6: input, references = 3, size of lhs = 6:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #7: input, references = 4, size of lhs = 3:
% 4.40/4.68 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #8: input, references = 4, size of lhs = 3:
% 4.40/4.68 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #9: input, references = 4, size of lhs = 4:
% 4.40/4.68 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #10: input, references = 4, size of lhs = 4:
% 4.40/4.68 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #11: input, references = 3, size of lhs = 7:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #12: input, references = 4, size of lhs = 7:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #13: input, references = 4, size of lhs = 7:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #14: input, references = 4, size of lhs = 7:
% 4.40/4.68 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
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #15: input, references = 4, size of lhs = 5:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), V3 == V2 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #16: input, references = 4, size of lhs = 8:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V4,V5,V6), V6 == V4 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #17: input, references = 7, size of lhs = 10:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V4,V5,V6), P_multiply-{F}(V1,V4,V7), P_multiply-{F}(V2,V5,V8), P_least_upper_bound-{F}(V7,V8,V8) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #18: input, references = 11, size of lhs = 2:
% 4.40/4.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #19: input, references = 4, size of lhs = 0:
% 4.40/4.68 FALSE | EXISTS V0: P_identity-{T}(V0)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #20: input, references = 4, size of lhs = 1:
% 4.40/4.68 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #21: input, references = 9, size of lhs = 2:
% 4.40/4.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #22: input, references = 7, size of lhs = 2:
% 4.40/4.68 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #23: input, references = 4, size of lhs = 0:
% 4.40/4.68 FALSE | EXISTS V0: P_a-{T}(V0)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #24: input, references = 5, size of lhs = 0:
% 4.40/4.68 FALSE | EXISTS V0: P_b-{T}(V0)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #25: input, references = 6, size of lhs = 0:
% 4.40/4.68 FALSE | EXISTS V0: P_c-{T}(V0)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #26: input, references = 6, size of lhs = 0:
% 4.40/4.68 FALSE | EXISTS V0: P_d-{T}(V0)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 number of initial rules = 27
% 4.40/4.68
% 4.40/4.68 Simplifiers:
% 4.40/4.68 #27: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #28: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #29: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #30: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #31: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #32: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #33: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #34: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #35: unsound, references = 3, size of lhs = 3:
% 4.40/4.68 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 number of simplifiers = 9
% 4.40/4.68
% 4.40/4.68 Learnt:
% 4.40/4.68 #37: exists( #18, #1 ), references = 3, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #39: exists( #21, #8 ), references = 1, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #43: exists( #22, #7 ), references = 1, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), #-{F} V1 | P_least_upper_bound-{T}(V1,V1,V1)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #44: exists( #22, #9 ), references = 4, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #49: exists( #18, #0 ), references = 6, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #50: exists( #18, #2 ), references = 3, size of lhs = 4:
% 4.40/4.68 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)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #53: exists( #21, #3 ), references = 7, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #55: exists( #18, #2 ), references = 7, size of lhs = 4:
% 4.40/4.68 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)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #59: exists( #21, #14 ), references = 5, size of lhs = 5:
% 4.40/4.68 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)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #60: exists( #21, #12 ), references = 3, size of lhs = 5:
% 4.40/4.68 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)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #69: exists( #22, #4 ), references = 5, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #80: exists( #21, #16 ), references = 3, size of lhs = 6:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5) | P_greatest_lower_bound-{T}(V4,V5,V4)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #95: mergings( V1 == V2, V2 == V6, V6 == V7, V7 == V8, V8 == V9, V3 == V10, V9 == V4, V5 == V11; #86 ), references = 2, size of lhs = 6:
% 4.40/4.68 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_least_upper_bound-{F}(V1,V0,V2), P_c-{F}(V3), P_multiply-{F}(V1,V3,V3) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #99: mergings( V1 == V2; #97 ), references = 1, size of lhs = 4:
% 4.40/4.68 P_a-{F}(V0), P_b-{F}(V0), P_identity-{F}(V0), P_least_upper_bound-{F}(V0,V0,V1) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #115: exists( #22, #15 ), references = 2, size of lhs = 3:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_least_upper_bound-{T}(V1,V2,V2)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #121: exists( #22, #13 ), references = 2, size of lhs = 5:
% 4.40/4.68 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)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #123: exists( #21, #10 ), references = 3, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #173: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #164 ), references = 1, size of lhs = 15:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V4,V5,V6), P_multiply-{F}(V1,V4,V7), P_multiply-{F}(V8,V2,V2), P_multiply-{F}(V9,V8,V0), P_multiply-{F}(V9,V10,V7), P_multiply-{F}(V11,V5,V10), P_greatest_lower_bound-{F}(V12,V2,V11), P_multiply-{F}(V12,V5,V13), P_multiply-{F}(V9,V13,V14) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #176: exists( #21, #5 ), references = 2, size of lhs = 4:
% 4.40/4.68 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V4,V1,V5), P_greatest_lower_bound-{F}(V5,V2,V6) | P_greatest_lower_bound-{T}(V4,V3,V6)
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #220: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #214 ), references = 5, size of lhs = 13:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V4,V5,V6), P_multiply-{F}(V1,V4,V7), P_greatest_lower_bound-{F}(V8,V2,V9), P_multiply-{F}(V9,V5,V10), P_multiply-{F}(V8,V5,V11), P_greatest_lower_bound-{F}(V10,V12,V7), P_greatest_lower_bound-{F}(V11,V12,V13) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #233: mergings( V1 == V2, V2 == V6, V6 == V7, V3 == V8, V4 == V9, V5 == V10; #226 ), references = 2, size of lhs = 7:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_greatest_lower_bound-{F}(V0,V2,V0), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V1,V4,V4) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #237: mergings( V1 == V2; #235 ), references = 1, size of lhs = 5:
% 4.40/4.68 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_greatest_lower_bound-{F}(V0,V1,V0), P_least_upper_bound-{F}(V0,V1,V2) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #243: mergings( V1 == V2, V2 == V3; #240 ), references = 1, size of lhs = 2:
% 4.40/4.68 P_a-{F}(V0), P_identity-{F}(V0) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #286: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #278 ), references = 1, size of lhs = 15:
% 4.40/4.68 P_c-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_d-{F}(V4), P_multiply-{F}(V2,V4,V0), P_greatest_lower_bound-{F}(V0,V4,V5), P_multiply-{F}(V0,V6,V7), P_multiply-{F}(V1,V7,V8), P_least_upper_bound-{F}(V7,V9,V7), P_multiply-{F}(V8,V10,V11), P_multiply-{F}(V9,V10,V11), P_multiply-{F}(V12,V6,V13), P_multiply-{F}(V13,V10,V12) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #293: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #279 ), references = 1, size of lhs = 18:
% 4.40/4.68 P_c-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_d-{F}(V4), P_greatest_lower_bound-{F}(V0,V4,V5), P_multiply-{F}(V6,V4,V0), P_greatest_lower_bound-{F}(V6,V2,V7), P_multiply-{F}(V7,V4,V0), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V1,V9,V10), P_multiply-{F}(V10,V11,V12), P_multiply-{F}(V13,V11,V12), P_greatest_lower_bound-{F}(V14,V9,V13), P_multiply-{F}(V14,V11,V15), P_multiply-{F}(V16,V8,V17), P_multiply-{F}(V17,V11,V16) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #339: mergings( V3 == V4; #337 ), references = 1, size of lhs = 12:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V4,V5,V6), P_greatest_lower_bound-{F}(V7,V1,V1), P_multiply-{F}(V7,V4,V8), P_multiply-{F}(V9,V5,V8), P_greatest_lower_bound-{F}(V9,V2,V10), P_multiply-{F}(V10,V5,V8) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #344: mergings( V3 == V4; #342 ), references = 1, size of lhs = 12:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V4,V5,V6), P_greatest_lower_bound-{F}(V7,V4,V4), P_multiply-{F}(V1,V7,V8), P_multiply-{F}(V9,V5,V8), P_greatest_lower_bound-{F}(V9,V2,V10), P_multiply-{F}(V10,V5,V8) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #347: mergings( V3 == V4; #345 ), references = 1, size of lhs = 9:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_greatest_lower_bound-{F}(V1,V2,V1), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V5), P_greatest_lower_bound-{F}(V5,V4,V4), P_greatest_lower_bound-{F}(V4,V5,V6) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #357: mergings( V1 == V5, V5 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V10; #350 ), references = 1, size of lhs = 6:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_greatest_lower_bound-{F}(V1,V2,V1), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #365: mergings( V1 == V5, V5 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V10; #358 ), references = 2, size of lhs = 5:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_greatest_lower_bound-{F}(V1,V2,V1), P_least_upper_bound-{F}(V1,V2,V3) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #371: mergings( V1 == V2, V2 == V3; #368 ), references = 1, size of lhs = 2:
% 4.40/4.68 P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #375: mergings( V1 == V2, V2 == V3; #372 ), references = 1, size of lhs = 1:
% 4.40/4.68 P_identity-{F}(V0) | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 #377: exists( #19, #372 ), references = 1, size of lhs = 0:
% 4.40/4.68 FALSE | FALSE
% 4.40/4.68 (used 0 times, uses = {})
% 4.40/4.68
% 4.40/4.68 number of learnt formulas = 33
% 4.40/4.68
% 4.40/4.68
% 4.40/4.68 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.40/4.68
% 4.40/4.68 randbase = 1
%------------------------------------------------------------------------------