TSTP Solution File: BOO013-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 05:58:37 EDT 2022
% Result : Unsatisfiable 2.89s 3.14s
% Output : Refutation 2.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 08:32:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.89/3.14 GeoParameters:
% 2.89/3.14
% 2.89/3.14 tptp_input = 1
% 2.89/3.14 tptp_output = 0
% 2.89/3.14 nonempty = 1
% 2.89/3.14 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/3.14 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.89/3.14
% 2.89/3.14
% 2.89/3.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/3.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/3.14
% 2.89/3.14 RuleSystem INPUT:
% 2.89/3.14
% 2.89/3.14 Initial Rules:
% 2.89/3.14 #0: input, references = 5, size of lhs = 3:
% 2.89/3.14 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #1: input, references = 5, size of lhs = 3:
% 2.89/3.14 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #2: input, references = 7, size of lhs = 6:
% 2.89/3.14 P_multiply-{F}(V0,V1,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V0,V2,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V5,V6,V7), V4 == V7 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #3: input, references = 7, size of lhs = 6:
% 2.89/3.14 P_multiply-{F}(V1,V2,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V0,V1,V5), P_add-{F}(V0,V2,V6), P_multiply-{F}(V5,V6,V7), V4 == V7 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #4: input, references = 6, size of lhs = 6:
% 2.89/3.14 P_add-{F}(V0,V1,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V0,V2,V5), P_multiply-{F}(V1,V2,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #5: input, references = 6, size of lhs = 6:
% 2.89/3.14 P_add-{F}(V1,V2,V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V0,V1,V5), P_multiply-{F}(V0,V2,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #6: input, references = 4, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #7: input, references = 4, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #8: input, references = 4, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #9: input, references = 5, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), V4 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #10: input, references = 4, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), V3 == V2 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #11: input, references = 3, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V2,V3), V3 == V2 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #12: input, references = 4, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V1,V3), V3 == V2 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #13: input, references = 4, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V2,V3), V3 == V2 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #14: input, references = 6, size of lhs = 6:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), V4 == V0 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #15: input, references = 5, size of lhs = 8:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_c-{F}(V5), P_add-{F}(V2,V5,V6), V6 == V0 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #16: input, references = 5, size of lhs = 9:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_c-{F}(V5), P_add-{F}(V2,V5,V6), P_multiply-{F}(V2,V3,V7), V7 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #17: input, references = 5, size of lhs = 10:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_c-{F}(V5), P_add-{F}(V2,V5,V6), P_multiply-{F}(V2,V3,V7), P_multiply-{F}(V2,V5,V8), V8 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #18: input, references = 4, size of lhs = 9:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V5), P_add-{F}(V2,V5,V4), P_c-{F}(V5), P_add-{F}(V2,V5,V6), P_multiply-{F}(V2,V5,V7), P_multiply-{F}(V2,V5,V8) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #19: input, references = 10, size of lhs = 2:
% 2.89/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #20: input, references = 10, size of lhs = 2:
% 2.89/3.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #21: input, references = 10, size of lhs = 1:
% 2.89/3.14 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #22: input, references = 4, size of lhs = 0:
% 2.89/3.14 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #23: input, references = 4, size of lhs = 0:
% 2.89/3.14 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #24: input, references = 4, size of lhs = 0:
% 2.89/3.14 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #25: input, references = 6, size of lhs = 0:
% 2.89/3.14 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #26: input, references = 8, size of lhs = 0:
% 2.89/3.14 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 number of initial rules = 27
% 2.89/3.14
% 2.89/3.14 Simplifiers:
% 2.89/3.14 #27: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #28: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #29: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #30: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #31: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #32: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #33: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #34: unsound, references = 3, size of lhs = 3:
% 2.89/3.14 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 number of simplifiers = 8
% 2.89/3.14
% 2.89/3.14 Learnt:
% 2.89/3.14 #37: exists( #19, #6 ), references = 4, size of lhs = 2:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #38: exists( #19, #7 ), references = 7, size of lhs = 2:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #40: exists( #19, #12 ), references = 7, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_add-{T}(V2,V1,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #49: mergings( V2 == V3; #45 ), references = 1, size of lhs = 2:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #53: exists( #19, #0 ), references = 5, size of lhs = 1:
% 2.89/3.14 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #54: exists( #19, #13 ), references = 5, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_add-{T}(V1,V2,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #55: exists( #19, #15 ), references = 8, size of lhs = 6:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_c-{F}(V5) | P_add-{T}(V2,V5,V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #60: mergings( V1 == V3, V2 == V4; #57 ), references = 1, size of lhs = 3:
% 2.89/3.14 P_a-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_b-{T}(V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #62: exists( #20, #10 ), references = 14, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V0,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #67: mergings( V1 == V3, V2 == V4; #64 ), references = 1, size of lhs = 5:
% 2.89/3.14 P_a-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V2), P_add-{F}(V0,V2,V3) | P_c-{T}(V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #73: exists( #20, #2 ), references = 2, size of lhs = 4:
% 2.89/3.14 P_multiply-{F}(V0,V1,V2), P_add-{F}(V2,V3,V4), P_add-{F}(V0,V3,V5), P_add-{F}(V1,V3,V6) | P_multiply-{T}(V5,V6,V4)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #74: exists( #20, #3 ), references = 1, size of lhs = 4:
% 2.89/3.14 P_multiply-{F}(V0,V1,V2), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V0,V5), P_add-{F}(V3,V1,V6) | P_multiply-{T}(V5,V6,V4)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #88: mergings( V2 == V4, V3 == V5; #84 ), references = 1, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V1,V2) | P_inverse-{T}(V2,V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #103: exists( #20, #8 ), references = 8, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #104: exists( #20, #9 ), references = 1, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V3,V2,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #121: mergings( V0 == V3, V2 == V4; #118 ), references = 1, size of lhs = 2:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #126: exists( #19, #124 ), references = 5, size of lhs = 8:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_add-{F}(V2,V4,V5), P_multiply-{F}(V2,V3,V6), V6 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #132: exists( #19, #128 ), references = 6, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_multiply-{F}(V4,V2,V5), P_add-{F}(V5,V3,V6) | P_add-{T}(V4,V3,V6)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #133: exists( #19, #129 ), references = 6, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_multiply-{F}(V4,V3,V5), P_add-{F}(V2,V5,V6) | P_add-{T}(V2,V4,V6)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #146: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #140 ), references = 1, size of lhs = 6:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #154: exists( #20, #1 ), references = 12, size of lhs = 1:
% 2.89/3.14 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #168: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #163 ), references = 1, size of lhs = 8:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), P_b-{F}(V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V2,V3,V5), V5 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #194: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #185 ), references = 1, size of lhs = 9:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V2), P_c-{F}(V4), P_multiply-{F}(V2,V3,V5), V5 == V1, P_add-{F}(V1,V3,V6) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #203: mergings( V2 == V5, V5 == V7, V7 == V10, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V9 == V12; #186 ), references = 1, size of lhs = 9:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V2), P_c-{F}(V4), P_multiply-{F}(V2,V3,V5), V5 == V1, P_add-{F}(V1,V3,V6) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #213: mergings( V1 == V4, V4 == V6, V6 == V8, V2 == V3, V3 == V5, V5 == V7, V7 == V9; #204 ), references = 1, size of lhs = 8:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V2,V3,V4), V4 == V1, P_add-{F}(V1,V3,V5) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #222: mergings( V1 == V4, V4 == V6, V6 == V9, V2 == V3, V3 == V5, V5 == V7, V7 == V10, V8 == V12; #205 ), references = 1, size of lhs = 8:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V2), P_multiply-{F}(V2,V3,V4), V4 == V1, P_add-{F}(V1,V3,V5) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #232: exists( #20, #229 ), references = 2, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V3,V1), P_add-{F}(V4,V2,V5), P_multiply-{F}(V5,V3,V6) | P_multiply-{T}(V4,V3,V6)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #233: exists( #20, #228 ), references = 4, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V3,V1), P_add-{F}(V3,V4,V5), P_multiply-{F}(V2,V5,V6) | P_multiply-{T}(V2,V4,V6)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #241: exists( #19, #14 ), references = 3, size of lhs = 4:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_add-{T}(V2,V3,V0)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #244: exists( #19, #4 ), references = 3, size of lhs = 4:
% 2.89/3.14 P_add-{F}(V0,V1,V2), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V0,V3,V5), P_multiply-{F}(V1,V3,V6) | P_add-{T}(V5,V6,V4)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #245: exists( #19, #5 ), references = 1, size of lhs = 4:
% 2.89/3.14 P_add-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V3,V1,V6) | P_add-{T}(V5,V6,V4)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #260: mergings( V1 == V4, V2 == V5, V3 == V8; #254 ), references = 3, size of lhs = 7:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_multiply-{F}(V2,V3,V5), V5 == V1 | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #275: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V7, V5 == V9, V8 == V10, V11 == V7; #267 ), references = 1, size of lhs = 6:
% 2.89/3.14 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V0,V2,V1), P_add-{F}(V0,V2,V3) | P_c-{T}(V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #285: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #280 ), references = 1, size of lhs = 3:
% 2.89/3.14 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_b-{T}(V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #298: exists( #20, #292 ), references = 2, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4) | P_multiply-{T}(V3,V2,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #299: exists( #20, #293 ), references = 1, size of lhs = 6:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_add-{F}(V2,V4,V5) | P_multiply-{T}(V3,V2,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #330: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #321 ), references = 1, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_multiply-{F}(V3,V2,V1), P_add-{F}(V1,V3,V4) | P_inverse-{T}(V2,V4)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #337: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #322 ), references = 1, size of lhs = 5:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_multiply-{F}(V2,V3,V1), P_add-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #346: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #323 ), references = 1, size of lhs = 7:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), P_add-{F}(V2,V4,V0), P_multiply-{F}(V5,V4,V4), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V6,V4,V1) | P_inverse-{T}(V4,V3)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #352: mergings( V8 == V4; #350 ), references = 1, size of lhs = 8:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_add-{F}(V2,V3,V4), P_c-{F}(V5), P_add-{F}(V2,V5,V6) | P_multiply-{T}(V2,V5,V1)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #383: mergings( V1 == V3, V3 == V6, V6 == V8, V2 == V4, V4 == V7, V7 == V9, V5 == V12, V11 == V13, V14 == V9; #371 ), references = 2, size of lhs = 10:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_add-{F}(V2,V3,V4), P_multiply-{F}(V5,V2,V1), P_add-{F}(V2,V5,V0), P_multiply-{F}(V5,V0,V6), P_add-{F}(V1,V6,V7) | P_c-{T}(V7)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #393: mergings( V1 == V3, V3 == V6, V6 == V8, V2 == V4, V4 == V7, V7 == V9, V5 == V12, V11 == V13, V14 == V9; #372 ), references = 1, size of lhs = 11:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_add-{F}(V2,V3,V4), P_multiply-{F}(V5,V2,V1), P_add-{F}(V5,V0,V0), P_multiply-{F}(V5,V0,V6), P_add-{F}(V2,V6,V0), P_add-{F}(V1,V6,V7) | P_c-{T}(V7)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #403: mergings( V1 == V3, V3 == V6, V6 == V8, V2 == V4, V4 == V7, V7 == V9, V5 == V12, V11 == V13, V14 == V9; #373 ), references = 1, size of lhs = 11:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V1), P_add-{F}(V2,V3,V4), P_multiply-{F}(V5,V2,V1), P_add-{F}(V5,V0,V0), P_multiply-{F}(V5,V0,V6), P_add-{F}(V6,V2,V0), P_add-{F}(V6,V1,V7) | P_c-{T}(V7)
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #421: mergings( V1 == V4, V4 == V5, V5 == V7, V2 == V3, V3 == V6, V6 == V8; #414 ), references = 1, size of lhs = 3:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #429: mergings( V1 == V4, V4 == V5, V5 == V7, V2 == V3, V3 == V6, V6 == V8; #422 ), references = 1, size of lhs = 2:
% 2.89/3.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #434: mergings( V1 == V2, V2 == V3, V3 == V4; #430 ), references = 1, size of lhs = 1:
% 2.89/3.14 P_multiplicative_identity-{F}(V0) | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 #436: exists( #22, #430 ), references = 1, size of lhs = 0:
% 2.89/3.14 FALSE | FALSE
% 2.89/3.14 (used 0 times, uses = {})
% 2.89/3.14
% 2.89/3.14 number of learnt formulas = 47
% 2.89/3.14
% 2.89/3.14
% 2.89/3.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.89/3.14
% 2.89/3.14 randbase = 1
%------------------------------------------------------------------------------