TSTP Solution File: GRP190-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:03:30 EDT 2022
% Result : Unsatisfiable 18.76s 18.99s
% Output : Refutation 18.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 : Fri Jul 22 13:49:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.76/18.99 GeoParameters:
% 18.76/18.99
% 18.76/18.99 tptp_input = 1
% 18.76/18.99 tptp_output = 0
% 18.76/18.99 nonempty = 1
% 18.76/18.99 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.76/18.99 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 18.76/18.99
% 18.76/18.99
% 18.76/18.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.76/18.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.76/18.99
% 18.76/18.99 RuleSystem INPUT:
% 18.76/18.99
% 18.76/18.99 Initial Rules:
% 18.76/18.99 #0: input, references = 4, size of lhs = 3:
% 18.76/18.99 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #1: input, references = 4, size of lhs = 4:
% 18.76/18.99 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #2: input, references = 8, size of lhs = 6:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #3: input, references = 4, size of lhs = 4:
% 18.76/18.99 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #4: input, references = 4, size of lhs = 4:
% 18.76/18.99 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #5: input, references = 4, size of lhs = 6:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #6: input, references = 3, size of lhs = 6:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #7: input, references = 4, size of lhs = 3:
% 18.76/18.99 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #8: input, references = 4, size of lhs = 3:
% 18.76/18.99 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #9: input, references = 4, size of lhs = 4:
% 18.76/18.99 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #10: input, references = 4, size of lhs = 4:
% 18.76/18.99 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #11: input, references = 4, size of lhs = 7:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #12: input, references = 5, size of lhs = 7:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #13: input, references = 4, size of lhs = 7:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #14: input, references = 5, size of lhs = 7:
% 18.76/18.99 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
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #15: input, references = 4, size of lhs = 5:
% 18.76/18.99 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), V3 == V1 | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #16: input, references = 7, size of lhs = 7:
% 18.76/18.99 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_inverse-{F}(V1,V4), P_inverse-{F}(V2,V5), P_least_upper_bound-{F}(V4,V5,V5) | FALSE
% 18.76/18.99 (used 0 times, uses = {})
% 18.76/18.99
% 18.76/18.99 #17: input, references = 14, size of lhs = 2:
% 18.76/18.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #18: input, references = 4, size of lhs = 0:
% 18.76/19.00 FALSE | EXISTS V0: P_identity-{T}(V0)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #19: input, references = 12, size of lhs = 1:
% 18.76/19.00 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #20: input, references = 10, size of lhs = 2:
% 18.76/19.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #21: input, references = 7, size of lhs = 2:
% 18.76/19.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #22: input, references = 4, size of lhs = 0:
% 18.76/19.00 FALSE | EXISTS V0: P_a-{T}(V0)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #23: input, references = 5, size of lhs = 0:
% 18.76/19.00 FALSE | EXISTS V0: P_b-{T}(V0)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 number of initial rules = 24
% 18.76/19.00
% 18.76/19.00 Simplifiers:
% 18.76/19.00 #24: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #25: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #26: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #27: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #28: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #29: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #30: unsound, references = 3, size of lhs = 3:
% 18.76/19.00 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 number of simplifiers = 7
% 18.76/19.00
% 18.76/19.00 Learnt:
% 18.76/19.00 #32: exists( #17, #1 ), references = 15, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #35: exists( #20, #8 ), references = 1, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #38: exists( #21, #7 ), references = 2, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), #-{F} V1 | P_least_upper_bound-{T}(V1,V1,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #39: exists( #21, #9 ), references = 3, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #41: exists( #17, #0 ), references = 17, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #45: mergings( V2 == V3; #43 ), references = 1, size of lhs = 4:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_least_upper_bound-{F}(V1,V1,V2) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #49: exists( #17, #2 ), references = 14, size of lhs = 4:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #54: mergings( V2 == V3; #52 ), references = 4, size of lhs = 4:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V3) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #58: exists( #20, #3 ), references = 12, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #60: exists( #17, #12 ), references = 1, size of lhs = 5:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #63: exists( #21, #11 ), references = 3, size of lhs = 5:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #64: exists( #21, #13 ), references = 4, size of lhs = 5:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #67: exists( #21, #4 ), references = 6, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #75: exists( #17, #14 ), references = 6, size of lhs = 5:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #81: mergings( V3 == V4, V4 == V5; #78 ), references = 2, size of lhs = 5:
% 18.76/19.00 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
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #93: mergings( V2 == V0; #90 ), references = 1, size of lhs = 1:
% 18.76/19.00 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #113: exists( #20, #10 ), references = 3, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #131: exists( #21, #15 ), references = 2, size of lhs = 3:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_least_upper_bound-{T}(V1,V2,V1)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #151: exists( #20, #12 ), references = 5, size of lhs = 5:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #152: exists( #20, #14 ), references = 4, size of lhs = 5:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #169: exists( #20, #5 ), references = 9, size of lhs = 4:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #213: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #203 ), references = 1, size of lhs = 12:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V4), P_greatest_lower_bound-{F}(V5,V3,V6), P_multiply-{F}(V7,V8,V6), P_greatest_lower_bound-{F}(V7,V9,V10), P_multiply-{F}(V9,V8,V11), P_greatest_lower_bound-{F}(V11,V5,V12), P_multiply-{F}(V12,V1,V13), P_greatest_lower_bound-{F}(V14,V4,V11), P_greatest_lower_bound-{F}(V6,V14,V13) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #221: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #204 ), references = 1, size of lhs = 12:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V4), P_greatest_lower_bound-{F}(V5,V3,V6), P_multiply-{F}(V7,V8,V6), P_greatest_lower_bound-{F}(V7,V9,V10), P_multiply-{F}(V9,V8,V11), P_greatest_lower_bound-{F}(V11,V5,V12), P_multiply-{F}(V12,V1,V13), P_greatest_lower_bound-{F}(V14,V4,V11), P_greatest_lower_bound-{F}(V6,V14,V13) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #230: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #205 ), references = 3, size of lhs = 14:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V4,V1,V5), P_multiply-{F}(V6,V7,V5), P_greatest_lower_bound-{F}(V6,V8,V9), P_multiply-{F}(V8,V7,V10), P_greatest_lower_bound-{F}(V10,V4,V11), P_multiply-{F}(V11,V2,V12), P_greatest_lower_bound-{F}(V5,V13,V12), P_greatest_lower_bound-{F}(V13,V3,V10), P_multiply-{F}(V14,V9,V15), P_multiply-{F}(V15,V7,V16), P_multiply-{F}(V16,V2,V17), V17 == V16 | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #253: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #240 ), references = 2, size of lhs = 16:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V5,V6,V4), P_greatest_lower_bound-{F}(V6,V7,V8), P_multiply-{F}(V5,V7,V9), P_multiply-{F}(V10,V1,V9), P_greatest_lower_bound-{F}(V3,V10,V11), P_multiply-{F}(V9,V1,V12), P_greatest_lower_bound-{F}(V8,V13,V8), P_multiply-{F}(V5,V13,V14), P_greatest_lower_bound-{F}(V14,V12,V15), P_greatest_lower_bound-{F}(V15,V4,V11), P_multiply-{F}(V16,V8,V15), P_greatest_lower_bound-{F}(V5,V16,V17) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #264: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #241 ), references = 2, size of lhs = 16:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V5,V6,V4), P_greatest_lower_bound-{F}(V6,V7,V8), P_multiply-{F}(V5,V7,V9), P_multiply-{F}(V10,V1,V9), P_greatest_lower_bound-{F}(V3,V10,V11), P_multiply-{F}(V9,V1,V12), P_greatest_lower_bound-{F}(V8,V13,V8), P_multiply-{F}(V5,V13,V14), P_greatest_lower_bound-{F}(V14,V12,V15), P_greatest_lower_bound-{F}(V15,V4,V11), P_multiply-{F}(V16,V8,V15), P_greatest_lower_bound-{F}(V5,V16,V17) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #294: mergings( V3 == V1, V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V0 == V10; #285 ), references = 1, size of lhs = 9:
% 18.76/19.00 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V0,V1,V0), P_multiply-{F}(V2,V0,V2), V2 == V0, P_multiply-{F}(V2,V1,V2), P_multiply-{F}(V0,V3,V2), P_multiply-{F}(V2,V2,V4), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V4,V3,V0) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #302: mergings( V3 == V1, V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V0 == V10; #286 ), references = 1, size of lhs = 9:
% 18.76/19.00 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V0,V1,V0), P_multiply-{F}(V2,V0,V2), V2 == V0, P_multiply-{F}(V2,V1,V2), P_multiply-{F}(V0,V3,V2), P_multiply-{F}(V2,V2,V4), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V4,V3,V0) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #343: exists( #17, #2 ), references = 6, size of lhs = 4:
% 18.76/19.00 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)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #344: exists( #17, #230 ), references = 1, size of lhs = 12:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V4,V1,V5), P_multiply-{F}(V6,V7,V5), P_greatest_lower_bound-{F}(V6,V8,V9), P_multiply-{F}(V8,V7,V10), P_greatest_lower_bound-{F}(V10,V4,V11), P_multiply-{F}(V11,V2,V12), P_greatest_lower_bound-{F}(V5,V13,V12), P_greatest_lower_bound-{F}(V13,V3,V10), P_multiply-{F}(V14,V9,V15), P_multiply-{F}(V15,V7,V16) | P_multiply-{T}(V16,V2,V16)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #380: mergings( V2 == V3, V3 == V4, V4 == V5; #375 ), references = 2, size of lhs = 8:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V4,V6,V7), V7 == V5, P_multiply-{F}(V8,V1,V9), P_multiply-{F}(V9,V6,V8) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #384: mergings( V2 == V3, V3 == V4, V4 == V5; #376 ), references = 2, size of lhs = 15:
% 18.76/19.00 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V0), P_greatest_lower_bound-{F}(V0,V1,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_greatest_lower_bound-{F}(V0,V7,V6), P_greatest_lower_bound-{F}(V7,V5,V0), P_multiply-{F}(V0,V8,V9), P_greatest_lower_bound-{F}(V9,V9,V10), P_multiply-{F}(V11,V10,V12), P_multiply-{F}(V12,V13,V14), P_multiply-{F}(V14,V4,V15), V15 == V14, P_multiply-{F}(V16,V8,V17), P_multiply-{F}(V17,V13,V16) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #403: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #394 ), references = 3, size of lhs = 11:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V5,V0), P_multiply-{F}(V4,V6,V7), P_multiply-{F}(V8,V9,V5), P_multiply-{F}(V8,V10,V0), P_multiply-{F}(V9,V11,V12), P_multiply-{F}(V12,V13,V10), P_multiply-{F}(V14,V1,V15), P_multiply-{F}(V15,V6,V14) | P_multiply-{T}(V11,V13,V7)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #412: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #395 ), references = 1, size of lhs = 19:
% 18.76/19.00 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V0), P_greatest_lower_bound-{F}(V0,V1,V3), P_greatest_lower_bound-{F}(V0,V4,V5), P_multiply-{F}(V3,V6,V5), P_multiply-{F}(V2,V6,V7), P_greatest_lower_bound-{F}(V4,V7,V0), P_multiply-{F}(V0,V8,V9), P_greatest_lower_bound-{F}(V9,V9,V10), P_multiply-{F}(V11,V10,V12), P_multiply-{F}(V13,V12,V14), P_multiply-{F}(V14,V15,V16), P_multiply-{F}(V16,V17,V0), P_multiply-{F}(V18,V19,V17), P_multiply-{F}(V19,V13,V20), P_multiply-{F}(V20,V11,V21), P_multiply-{F}(V18,V21,V6), P_multiply-{F}(V22,V8,V23), P_multiply-{F}(V23,V15,V22) | P_multiply-{T}(V13,V11,V16)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #430: mergings( V2 == V3, V3 == V4; #426 ), references = 6, size of lhs = 4:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V1), P_multiply-{F}(V1,V2,V0), P_multiply-{F}(V0,V2,V3) | P_inverse-{T}(V1,V3)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #433: mergings( V2 == V3, V3 == V4; #427 ), references = 1, size of lhs = 19:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V4,V5,V0), P_greatest_lower_bound-{F}(V6,V7,V0), P_greatest_lower_bound-{F}(V0,V6,V8), P_greatest_lower_bound-{F}(V0,V9,V10), P_multiply-{F}(V8,V11,V10), P_multiply-{F}(V7,V11,V12), P_greatest_lower_bound-{F}(V9,V12,V0), P_multiply-{F}(V0,V13,V14), P_multiply-{F}(V15,V13,V11), P_multiply-{F}(V0,V15,V16), P_greatest_lower_bound-{F}(V16,V16,V17), P_multiply-{F}(V18,V17,V15), P_multiply-{F}(V15,V19,V18), P_multiply-{F}(V20,V2,V21), P_multiply-{F}(V21,V5,V20) | P_inverse-{T}(V15,V14)
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #454: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #449 ), references = 1, size of lhs = 7:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_inverse-{F}(V1,V0), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V0,V2,V4), P_least_upper_bound-{F}(V0,V4,V0) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #463: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #457 ), references = 1, size of lhs = 3:
% 18.76/19.00 P_a-{F}(V0), P_inverse-{F}(V0,V0), P_identity-{F}(V0) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #489: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #484 ), references = 1, size of lhs = 7:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V2,V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V0,V1,V4), P_least_upper_bound-{F}(V4,V0,V4) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #525: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #520 ), references = 2, size of lhs = 10:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V0,V2,V2), P_least_upper_bound-{F}(V1,V2,V3), P_inverse-{F}(V1,V4), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V5,V7,V4), P_least_upper_bound-{F}(V8,V7,V8), P_multiply-{F}(V6,V8,V0) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #543: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #538 ), references = 1, size of lhs = 25:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V0,V2,V2), P_least_upper_bound-{F}(V1,V2,V3), P_inverse-{F}(V1,V4), P_multiply-{F}(V0,V5,V6), P_multiply-{F}(V7,V6,V8), P_multiply-{F}(V7,V9,V0), P_multiply-{F}(V8,V10,V11), P_multiply-{F}(V12,V11,V4), P_multiply-{F}(V2,V12,V13), P_multiply-{F}(V13,V14,V0), P_multiply-{F}(V15,V16,V9), P_multiply-{F}(V15,V17,V0), P_multiply-{F}(V16,V18,V19), P_multiply-{F}(V19,V20,V21), P_multiply-{F}(V21,V22,V17), P_multiply-{F}(V23,V22,V14), P_multiply-{F}(V18,V24,V23), P_least_upper_bound-{F}(V24,V20,V25), P_multiply-{F}(V18,V25,V26), P_multiply-{F}(V26,V22,V14), P_multiply-{F}(V27,V5,V28), P_multiply-{F}(V28,V10,V27) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #556: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #549 ), references = 2, size of lhs = 21:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V0,V2,V2), P_multiply-{F}(V0,V3,V2), P_least_upper_bound-{F}(V1,V2,V4), P_inverse-{F}(V1,V5), P_multiply-{F}(V6,V0,V0), P_multiply-{F}(V0,V7,V5), P_multiply-{F}(V0,V8,V9), P_multiply-{F}(V10,V9,V11), P_multiply-{F}(V11,V12,V7), P_multiply-{F}(V10,V13,V0), P_multiply-{F}(V6,V14,V13), P_multiply-{F}(V14,V15,V16), P_multiply-{F}(V16,V17,V2), P_multiply-{F}(V15,V18,V0), P_least_upper_bound-{F}(V18,V17,V19), P_multiply-{F}(V15,V19,V0), P_multiply-{F}(V20,V8,V21), P_multiply-{F}(V21,V12,V20) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #575: mergings( V0 == V9, V2 == V3; #572 ), references = 1, size of lhs = 11:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V0,V1,V1), P_b-{F}(V2), P_multiply-{F}(V0,V2,V2), P_multiply-{F}(V0,V3,V2), P_least_upper_bound-{F}(V1,V2,V4), P_multiply-{F}(V5,V0,V0), P_multiply-{F}(V5,V1,V1), P_multiply-{F}(V0,V6,V2), P_least_upper_bound-{F}(V1,V6,V1) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #581: mergings( V3 == V5, V1 == V2; #578 ), references = 1, size of lhs = 5:
% 18.76/19.00 P_identity-{F}(V0), P_a-{F}(V1), P_multiply-{F}(V0,V1,V1), P_multiply-{F}(V2,V0,V0), P_multiply-{F}(V2,V1,V1) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #585: mergings( V1 == V2; #583 ), references = 1, size of lhs = 2:
% 18.76/19.00 P_identity-{F}(V0), P_multiply-{F}(V0,V0,V0) | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 #588: exists( #18, #586 ), references = 1, size of lhs = 0:
% 18.76/19.00 FALSE | FALSE
% 18.76/19.00 (used 0 times, uses = {})
% 18.76/19.00
% 18.76/19.00 number of learnt formulas = 46
% 18.76/19.00
% 18.76/19.00
% 18.76/19.00 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.76/19.00
% 18.76/19.00 randbase = 1
%------------------------------------------------------------------------------