TSTP Solution File: BOO015-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 05:58:39 EDT 2022
% Result : Unsatisfiable 61.26s 61.47s
% Output : Refutation 61.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO015-2 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.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 08:42:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 61.26/61.47 GeoParameters:
% 61.26/61.47
% 61.26/61.47 tptp_input = 1
% 61.26/61.47 tptp_output = 0
% 61.26/61.47 nonempty = 1
% 61.26/61.47 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.26/61.47 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 61.26/61.47
% 61.26/61.47
% 61.26/61.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.26/61.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.26/61.47
% 61.26/61.47 RuleSystem INPUT:
% 61.26/61.47
% 61.26/61.47 Initial Rules:
% 61.26/61.47 #0: input, references = 6, size of lhs = 3:
% 61.26/61.47 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1: input, references = 7, size of lhs = 3:
% 61.26/61.47 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #2: input, references = 5, size of lhs = 6:
% 61.26/61.47 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
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #3: input, references = 7, size of lhs = 6:
% 61.26/61.47 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
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #4: input, references = 5, size of lhs = 6:
% 61.26/61.47 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
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #5: input, references = 7, size of lhs = 6:
% 61.26/61.47 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
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #6: input, references = 4, size of lhs = 4:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #7: input, references = 4, size of lhs = 4:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #8: input, references = 6, size of lhs = 5:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #9: input, references = 6, size of lhs = 5:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), V4 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #10: input, references = 4, size of lhs = 4:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), V3 == V2 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #11: input, references = 4, size of lhs = 4:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V2,V3), V3 == V2 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #12: input, references = 4, size of lhs = 4:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V1,V3), V3 == V2 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #13: input, references = 3, size of lhs = 4:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V2,V3), V3 == V2 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #14: input, references = 5, size of lhs = 7:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), V4 == V5 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #15: input, references = 11, size of lhs = 11:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_add-{F}(V6,V7,V8), P_d-{F}(V9), V8 == V9 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #16: input, references = 10, size of lhs = 11:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_add-{F}(V6,V7,V8), P_d-{F}(V9), P_inverse-{F}(V5,V9) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #17: input, references = 11, size of lhs = 2:
% 61.26/61.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #18: input, references = 8, size of lhs = 2:
% 61.26/61.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #19: input, references = 32, size of lhs = 1:
% 61.26/61.47 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #20: input, references = 4, size of lhs = 0:
% 61.26/61.47 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #21: input, references = 4, size of lhs = 0:
% 61.26/61.47 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #22: input, references = 4, size of lhs = 0:
% 61.26/61.47 FALSE | EXISTS V0: P_a-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #23: input, references = 6, size of lhs = 0:
% 61.26/61.47 FALSE | EXISTS V0: P_b-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #24: input, references = 8, size of lhs = 0:
% 61.26/61.47 FALSE | EXISTS V0: P_c-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #25: input, references = 11, size of lhs = 0:
% 61.26/61.47 FALSE | EXISTS V0: P_d-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 number of initial rules = 26
% 61.26/61.47
% 61.26/61.47 Simplifiers:
% 61.26/61.47 #26: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #27: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #28: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #29: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #30: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #31: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #32: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #33: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #34: unsound, references = 3, size of lhs = 3:
% 61.26/61.47 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 number of simplifiers = 9
% 61.26/61.47
% 61.26/61.47 Learnt:
% 61.26/61.47 #37: exists( #17, #6 ), references = 16, size of lhs = 2:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #38: exists( #17, #7 ), references = 21, size of lhs = 2:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #40: exists( #17, #12 ), references = 31, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_add-{T}(V2,V1,V2)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #44: exists( #18, #10 ), references = 29, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V0,V2)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #45: exists( #18, #14 ), references = 8, size of lhs = 5:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | P_multiply-{T}(V2,V3,V4)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #46: exists( #18, #5 ), references = 4, size of lhs = 4:
% 61.26/61.47 P_add-{F}(V0,V1,V2), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V3,V1,V5), P_add-{F}(V4,V5,V6) | P_multiply-{T}(V3,V2,V6)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #48: exists( #24, #14 ), references = 1, size of lhs = 5:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4) | P_c-{T}(V4)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #50: exists( #17, #5 ), references = 27, size of lhs = 4:
% 61.26/61.47 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)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #53: exists( #18, #3 ), references = 25, size of lhs = 4:
% 61.26/61.47 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)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #66: mergings( V2 == V4, V3 == V5; #62 ), references = 1, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V1,V2) | P_inverse-{T}(V2,V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #74: exists( #18, #8 ), references = 21, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V1)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #75: exists( #18, #9 ), references = 17, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V3,V2,V1)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #89: mergings( V0 == V3, V2 == V4; #84 ), references = 1, size of lhs = 2:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #94: mergings( V2 == V3; #92 ), references = 1, size of lhs = 6:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V1,V4,V5), V3 == V5 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #100: exists( #17, #96 ), references = 31, size of lhs = 5:
% 61.26/61.47 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)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #101: exists( #17, #97 ), references = 15, size of lhs = 5:
% 61.26/61.47 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)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #107: mergings( V2 == V4, V3 == V5; #104 ), references = 1, size of lhs = 5:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V3,V4), V1 == V4 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #115: mergings( V2 == V4, V3 == V5; #112 ), references = 1, size of lhs = 3:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V2,V2) | P_inverse-{T}(V2,V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #132: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9; #125 ), references = 1, size of lhs = 10:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V3,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V3,V6), P_multiply-{F}(V4,V0,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #146: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V13, V2 == V4, V4 == V9, V9 == V11, V11 == V12, V12 == V14; #135 ), references = 2, size of lhs = 9:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), P_add-{F}(V1,V3,V1), P_additive_identity-{F}(V3), P_add-{F}(V3,V2,V4), P_multiply-{F}(V0,V4,V5) | P_c-{T}(V5)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #155: mergings( V2 == V3; #151 ), references = 1, size of lhs = 2:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #160: exists( #24, #156 ), references = 1, size of lhs = 5:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4) | P_c-{T}(V4)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #163: mergings( V1 == V3, V2 == V5; #159 ), references = 2, size of lhs = 4:
% 61.26/61.47 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2) | P_c-{T}(V1)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #183: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #174 ), references = 2, size of lhs = 9:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V1), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6) | P_inverse-{T}(V3,V6)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #209: mergings( V1 == V3, V3 == V7, V7 == V9, V9 == V12, V12 == V14, V2 == V4, V4 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V5 == V16, V18 == V19, V6 == V17; #194 ), references = 2, size of lhs = 10:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_a-{F}(V2), P_inverse-{F}(V2,V1), P_b-{F}(V3), P_c-{F}(V3), P_multiply-{F}(V0,V3,V3), P_multiply-{F}(V2,V3,V4) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #219: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #214 ), references = 1, size of lhs = 6:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_inverse-{F}(V0,V1) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #225: mergings( V2 == V4, V3 == V5; #222 ), references = 2, size of lhs = 10:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V3,V6), P_multiply-{F}(V6,V2,V2), P_d-{F}(V7), V0 == V7 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #229: mergings( V1 == V3, V2 == V4; #226 ), references = 1, size of lhs = 8:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V3,V6), P_multiply-{F}(V6,V2,V2) | P_d-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #235: mergings( V2 == V4, V3 == V5; #232 ), references = 3, size of lhs = 10:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V3,V6), P_multiply-{F}(V6,V2,V2), P_d-{F}(V7), P_inverse-{F}(V5,V7) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #263: mergings( V2 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9; #256 ), references = 2, size of lhs = 10:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V3,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_multiply-{F}(V0,V4,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #277: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V13, V2 == V4, V4 == V9, V9 == V11, V11 == V12, V12 == V14; #266 ), references = 1, size of lhs = 9:
% 61.26/61.47 P_a-{F}(V0), P_add-{F}(V0,V0,V0), P_b-{F}(V1), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V2,V1,V3), P_add-{F}(V0,V3,V0), P_additive_identity-{F}(V3), P_add-{F}(V3,V2,V4), P_multiply-{F}(V4,V1,V5) | P_c-{T}(V5)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #287: mergings( V2 == V4, V3 == V5; #284 ), references = 2, size of lhs = 8:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V1), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6) | P_inverse-{T}(V2,V6)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #301: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8, V5 == V11, V10 == V12, V6 == V9; #293 ), references = 1, size of lhs = 7:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V1), P_multiply-{F}(V2,V3,V4) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #310: exists( #18, #306 ), references = 13, size of lhs = 5:
% 61.26/61.47 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)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #311: exists( #18, #305 ), references = 4, size of lhs = 5:
% 61.26/61.47 P_add-{F}(V0,V1,V1), P_multiply-{F}(V1,V2,V0), P_add-{F}(V0,V3,V3), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #324: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #318 ), references = 2, size of lhs = 7:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_multiply-{F}(V2,V2,V3), P_c-{F}(V4), P_d-{F}(V5) | P_inverse-{T}(V2,V5)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #337: mergings( V9 == V10, V1 == V3, V3 == V6, V2 == V4, V4 == V7, V5 == V8; #330 ), references = 1, size of lhs = 7:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V2), P_multiply-{F}(V2,V2,V3) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #340: exists( #17, #263 ), references = 6, size of lhs = 8:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V3,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V3,V4,V6), P_multiply-{F}(V0,V4,V7) | P_add-{T}(V6,V7,V5)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #366: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V6, V6 == V8, V26 == V27, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #351 ), references = 1, size of lhs = 18:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V1,V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_d-{F}(V7), P_add-{F}(V3,V3,V8), P_add-{F}(V6,V1,V9), V9 == V7, P_add-{F}(V10,V1,V10), P_add-{F}(V10,V10,V10), P_multiply-{F}(V10,V8,V11), P_add-{F}(V11,V1,V12), P_add-{F}(V6,V12,V0) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #383: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V4 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16; #369 ), references = 2, size of lhs = 14:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V1,V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6), P_add-{F}(V3,V3,V7), P_add-{F}(V8,V1,V8), P_add-{F}(V8,V8,V8), P_multiply-{F}(V8,V7,V9), P_add-{F}(V9,V1,V2) | P_inverse-{T}(V2,V6)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #404: mergings( V2 == V4, V4 == V7, V7 == V9, V3 == V5, V5 == V6, V6 == V8, V8 == V10; #396 ), references = 2, size of lhs = 11:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_d-{F}(V7), P_multiply-{F}(V6,V8,V1), P_multiply-{F}(V8,V3,V3) | P_inverse-{T}(V3,V7)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #425: mergings( V12 == V13, V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V16, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V17; #411 ), references = 1, size of lhs = 10:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V4), P_add-{F}(V1,V4,V4), P_additive_identity-{F}(V5), P_multiply-{F}(V1,V3,V6), V6 == V5 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #437: mergings( V12 == V13, V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V16, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V17; #412 ), references = 1, size of lhs = 10:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V4), P_add-{F}(V1,V4,V4), P_additive_identity-{F}(V5), P_multiply-{F}(V3,V1,V6), V6 == V5 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #452: mergings( V16 == V17, V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V0 == V15, V17 == V18, V12 == V18; #413 ), references = 1, size of lhs = 9:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V0,V0), P_c-{F}(V3), P_multiply-{F}(V2,V3,V3), P_d-{F}(V4), P_multiply-{F}(V4,V2,V2) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #473: mergings( V12 == V13, V13 == V14, V2 == V3, V3 == V5, V5 == V8, V8 == V10, V6 == V7, V7 == V9, V9 == V11, V4 == V14; #462 ), references = 1, size of lhs = 11:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V0,V0), P_c-{F}(V3), P_multiply-{F}(V2,V3,V3), P_d-{F}(V4), P_multiply-{F}(V4,V5,V4), P_add-{F}(V3,V5,V6), P_multiply-{F}(V4,V6,V7) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #488: mergings( V14 == V15, V15 == V16, V1 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V11, V2 == V7, V7 == V8, V8 == V10, V10 == V12, V5 == V16; #475 ), references = 1, size of lhs = 7:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V2,V3,V3) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #505: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V3 == V6, V6 == V8, V8 == V10; #497 ), references = 1, size of lhs = 13:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6), V0 == V6, P_add-{F}(V7,V1,V2), P_multiply-{F}(V7,V3,V1), P_add-{F}(V7,V8,V2), P_add-{F}(V3,V8,V3) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #514: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V2 == V5, V5 == V7, V7 == V9; #506 ), references = 2, size of lhs = 11:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_add-{F}(V6,V1,V2), P_multiply-{F}(V6,V3,V1), P_add-{F}(V6,V7,V2), P_add-{F}(V3,V7,V3) | P_d-{T}(V0)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #530: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V3 == V6, V6 == V8, V8 == V10; #522 ), references = 2, size of lhs = 13:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6), P_inverse-{F}(V5,V6), P_add-{F}(V7,V1,V2), P_multiply-{F}(V7,V3,V1), P_add-{F}(V7,V8,V2), P_add-{F}(V3,V8,V3) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #559: mergings( V2 == V4, V4 == V5, V5 == V10, V10 == V12, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13; #548 ), references = 3, size of lhs = 22:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_d-{F}(V8), P_add-{F}(V9,V1,V7), P_multiply-{F}(V9,V10,V1), P_add-{F}(V1,V11,V6), P_add-{F}(V12,V1,V11), P_multiply-{F}(V12,V13,V1), P_multiply-{F}(V13,V14,V14), P_add-{F}(V14,V0,V0), P_multiply-{F}(V10,V14,V14), P_add-{F}(V14,V15,V14), P_add-{F}(V9,V15,V16), P_add-{F}(V12,V15,V17), P_add-{F}(V14,V17,V18), P_add-{F}(V18,V16,V0) | P_inverse-{T}(V14,V8)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #581: exists( #17, #0 ), references = 25, size of lhs = 1:
% 61.26/61.47 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #619: exists( #18, #1 ), references = 30, size of lhs = 1:
% 61.26/61.47 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #643: mergings( V1 == V2, V2 == V4, V4 == V6, V8 == V9, V6 == V11, V11 == V13, V3 == V7, V7 == V10, V10 == V12, V5 == V14, V13 == V9; #631 ), references = 1, size of lhs = 9:
% 61.26/61.47 P_additive_identity-{F}(V0), P_inverse-{F}(V0,V1), P_add-{F}(V1,V1,V1), P_add-{F}(V0,V1,V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V1,V1), P_a-{F}(V2), P_multiply-{F}(V2,V1,V0), P_add-{F}(V2,V0,V2) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #665: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #660 ), references = 2, size of lhs = 11:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_add-{F}(V6,V3,V0), P_add-{F}(V6,V1,V7), P_d-{F}(V8), P_inverse-{F}(V5,V8) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #681: mergings( V1 == V2, V2 == V8, V3 == V7, V7 == V9, V4 == V12, V11 == V13, V5 == V10; #673 ), references = 1, size of lhs = 14:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_a-{F}(V2), P_c-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V1,V3), P_multiply-{F}(V3,V2,V2), P_add-{F}(V3,V3,V4), P_multiply-{F}(V2,V3,V5), P_add-{F}(V6,V1,V6), P_add-{F}(V6,V6,V6), P_multiply-{F}(V6,V4,V7), P_add-{F}(V7,V1,V2) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #749: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V21; #738 ), references = 1, size of lhs = 36:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_inverse-{F}(V1,V5), P_d-{F}(V6), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8), P_add-{F}(V9,V8,V5), P_multiply-{F}(V9,V10,V8), P_add-{F}(V8,V11,V4), P_add-{F}(V12,V8,V11), P_multiply-{F}(V12,V13,V8), P_add-{F}(V14,V7,V7), P_multiply-{F}(V13,V15,V15), P_add-{F}(V15,V7,V7), P_multiply-{F}(V10,V15,V15), P_add-{F}(V15,V16,V15), P_add-{F}(V9,V16,V17), P_add-{F}(V12,V16,V18), P_multiply-{F}(V15,V6,V19), V19 == V8, P_add-{F}(V15,V20,V14), P_multiply-{F}(V20,V18,V21), P_add-{F}(V15,V21,V22), P_add-{F}(V22,V23,V23), P_add-{F}(V17,V23,V7), P_multiply-{F}(V23,V24,V22), P_add-{F}(V17,V25,V7), P_multiply-{F}(V23,V26,V25), P_add-{F}(V24,V27,V7), P_add-{F}(V18,V28,V27), P_multiply-{F}(V28,V15,V29), P_add-{F}(V18,V29,V30), P_add-{F}(V24,V30,V26) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #758: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V21; #739 ), references = 1, size of lhs = 36:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_inverse-{F}(V1,V5), P_d-{F}(V6), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8), P_add-{F}(V9,V8,V5), P_multiply-{F}(V9,V10,V8), P_add-{F}(V8,V11,V4), P_add-{F}(V12,V8,V11), P_multiply-{F}(V12,V13,V8), P_add-{F}(V14,V7,V7), P_multiply-{F}(V13,V15,V15), P_add-{F}(V15,V7,V7), P_multiply-{F}(V10,V15,V15), P_add-{F}(V15,V16,V15), P_add-{F}(V9,V16,V17), P_add-{F}(V12,V16,V18), P_multiply-{F}(V6,V15,V19), V19 == V8, P_add-{F}(V15,V20,V14), P_multiply-{F}(V20,V18,V21), P_add-{F}(V15,V21,V22), P_add-{F}(V22,V23,V23), P_add-{F}(V17,V23,V7), P_multiply-{F}(V23,V24,V22), P_add-{F}(V17,V25,V7), P_multiply-{F}(V23,V26,V25), P_add-{F}(V24,V27,V7), P_add-{F}(V18,V28,V27), P_multiply-{F}(V28,V15,V29), P_add-{F}(V18,V29,V30), P_add-{F}(V24,V30,V26) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #765: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #740 ), references = 1, size of lhs = 29:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_d-{F}(V8), P_add-{F}(V9,V0,V0), P_multiply-{F}(V10,V11,V7), P_add-{F}(V11,V12,V0), P_add-{F}(V13,V12,V12), P_multiply-{F}(V12,V14,V13), P_add-{F}(V14,V15,V0), P_add-{F}(V16,V17,V15), P_multiply-{F}(V10,V16,V18), P_add-{F}(V19,V18,V6), P_multiply-{F}(V10,V20,V19), P_multiply-{F}(V17,V20,V21), P_add-{F}(V16,V21,V22), P_add-{F}(V14,V22,V23), P_multiply-{F}(V12,V23,V24), P_add-{F}(V11,V24,V25), P_multiply-{F}(V10,V25,V26), V26 == V8, P_add-{F}(V20,V27,V9), P_multiply-{F}(V27,V16,V28), P_add-{F}(V20,V28,V13) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #797: mergings( V20 == V23, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V17, V6 == V8, V8 == V9, V9 == V11, V11 == V18; #783 ), references = 1, size of lhs = 30:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_d-{F}(V5), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7), P_add-{F}(V1,V8,V1), P_add-{F}(V7,V9,V4), P_add-{F}(V10,V7,V9), P_multiply-{F}(V10,V11,V7), P_add-{F}(V12,V6,V6), P_multiply-{F}(V1,V13,V1), P_multiply-{F}(V11,V14,V14), P_add-{F}(V14,V6,V6), P_multiply-{F}(V8,V14,V14), P_add-{F}(V14,V7,V14), P_multiply-{F}(V14,V5,V15), V15 == V7, P_add-{F}(V14,V16,V12), P_multiply-{F}(V16,V9,V17), P_add-{F}(V14,V17,V18), P_add-{F}(V18,V1,V1), P_multiply-{F}(V1,V19,V18), P_add-{F}(V19,V20,V6), P_add-{F}(V9,V21,V20), P_multiply-{F}(V21,V14,V22), P_add-{F}(V9,V22,V23), P_add-{F}(V19,V23,V13) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #809: mergings( V20 == V23, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V17, V6 == V8, V8 == V9, V9 == V11, V11 == V18; #784 ), references = 1, size of lhs = 30:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_d-{F}(V5), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7), P_add-{F}(V1,V8,V1), P_add-{F}(V7,V9,V4), P_add-{F}(V10,V7,V9), P_multiply-{F}(V10,V11,V7), P_add-{F}(V12,V6,V6), P_multiply-{F}(V1,V13,V1), P_multiply-{F}(V11,V14,V14), P_add-{F}(V14,V6,V6), P_multiply-{F}(V8,V14,V14), P_add-{F}(V14,V7,V14), P_multiply-{F}(V5,V14,V15), V15 == V7, P_add-{F}(V14,V16,V12), P_multiply-{F}(V16,V9,V17), P_add-{F}(V14,V17,V18), P_add-{F}(V18,V1,V1), P_multiply-{F}(V1,V19,V18), P_add-{F}(V19,V20,V6), P_add-{F}(V9,V21,V20), P_multiply-{F}(V21,V14,V22), P_add-{F}(V9,V22,V23), P_add-{F}(V19,V23,V13) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #822: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #785 ), references = 2, size of lhs = 28:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_d-{F}(V7), P_add-{F}(V8,V3,V0), P_multiply-{F}(V8,V1,V1), P_add-{F}(V8,V1,V9), P_multiply-{F}(V9,V0,V10), V10 == V7, P_add-{F}(V11,V0,V0), P_multiply-{F}(V3,V12,V3), P_add-{F}(V13,V3,V3), P_multiply-{F}(V3,V14,V13), P_add-{F}(V14,V15,V0), P_add-{F}(V14,V16,V12), P_add-{F}(V17,V18,V11), P_multiply-{F}(V9,V17,V19), P_add-{F}(V17,V20,V13), P_multiply-{F}(V18,V21,V20), P_add-{F}(V21,V22,V15), P_multiply-{F}(V22,V17,V23), P_add-{F}(V21,V23,V16), P_multiply-{F}(V9,V21,V24), P_add-{F}(V19,V24,V6) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #866: mergings( V26 == V24, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V21, V4 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V22; #847 ), references = 1, size of lhs = 21:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V5,V5), P_multiply-{F}(V1,V5,V1), P_additive_identity-{F}(V6), P_add-{F}(V1,V7,V1), P_multiply-{F}(V1,V0,V8), P_add-{F}(V8,V1,V1), P_multiply-{F}(V8,V8,V8), P_add-{F}(V8,V5,V5), P_multiply-{F}(V7,V8,V8), P_add-{F}(V8,V6,V8), P_add-{F}(V0,V8,V0), P_add-{F}(V8,V0,V9), P_add-{F}(V9,V5,V5), P_multiply-{F}(V8,V4,V10), V10 == V6 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #883: mergings( V26 == V24, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V15, V15 == V21, V4 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V22; #848 ), references = 1, size of lhs = 21:
% 61.26/61.47 P_a-{F}(V0), P_b-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c-{F}(V3), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V5,V5), P_multiply-{F}(V1,V5,V1), P_additive_identity-{F}(V6), P_add-{F}(V1,V7,V1), P_multiply-{F}(V1,V0,V8), P_add-{F}(V8,V1,V1), P_multiply-{F}(V8,V8,V8), P_add-{F}(V8,V5,V5), P_multiply-{F}(V7,V8,V8), P_add-{F}(V8,V6,V8), P_add-{F}(V0,V8,V0), P_add-{F}(V8,V0,V9), P_add-{F}(V9,V5,V5), P_multiply-{F}(V4,V8,V10), V10 == V6 | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #900: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #892 ), references = 1, size of lhs = 24:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V0,V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6), P_add-{F}(V7,V3,V0), P_multiply-{F}(V7,V1,V1), P_add-{F}(V7,V1,V8), P_add-{F}(V2,V8,V0), P_multiply-{F}(V8,V0,V9), V9 == V6, P_multiply-{F}(V3,V2,V10), P_add-{F}(V10,V3,V3), P_add-{F}(V11,V1,V8), P_multiply-{F}(V11,V1,V1), P_add-{F}(V11,V2,V0), P_add-{F}(V12,V1,V10), P_multiply-{F}(V11,V12,V1), P_multiply-{F}(V8,V12,V1), P_add-{F}(V12,V2,V13), P_add-{F}(V13,V0,V0) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #922: mergings( V0 == V19, V2 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V3 == V6, V6 == V7, V7 == V11, V11 == V13; #910 ), references = 2, size of lhs = 14:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V0,V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6), P_multiply-{F}(V3,V2,V7), P_multiply-{F}(V2,V7,V7), P_add-{F}(V7,V3,V3), P_add-{F}(V7,V1,V7), P_add-{F}(V7,V2,V8), P_add-{F}(V8,V0,V0) | P_inverse-{T}(V7,V6)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #956: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #949 ), references = 1, size of lhs = 5:
% 61.26/61.47 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)
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #991: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #982 ), references = 1, size of lhs = 29:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_d-{F}(V8), P_inverse-{F}(V5,V8), P_add-{F}(V9,V0,V0), P_multiply-{F}(V10,V11,V7), P_add-{F}(V11,V12,V0), P_add-{F}(V13,V9,V12), P_multiply-{F}(V10,V14,V15), P_add-{F}(V14,V16,V9), P_add-{F}(V15,V17,V6), P_multiply-{F}(V10,V18,V17), P_multiply-{F}(V18,V16,V19), P_add-{F}(V14,V19,V20), P_multiply-{F}(V13,V21,V20), P_add-{F}(V13,V20,V22), P_add-{F}(V11,V22,V23), P_multiply-{F}(V10,V23,V24), P_add-{F}(V21,V25,V0), P_add-{F}(V18,V26,V25), P_multiply-{F}(V26,V14,V27), P_add-{F}(V18,V27,V28), P_add-{F}(V21,V28,V0) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1015: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #1000 ), references = 1, size of lhs = 28:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_inverse-{F}(V2,V6), P_d-{F}(V7), P_inverse-{F}(V5,V7), P_add-{F}(V8,V3,V0), P_multiply-{F}(V1,V8,V1), P_add-{F}(V8,V1,V9), P_multiply-{F}(V9,V0,V10), P_add-{F}(V11,V0,V0), P_add-{F}(V12,V11,V3), P_add-{F}(V12,V13,V3), P_multiply-{F}(V12,V14,V13), P_add-{F}(V14,V15,V0), P_add-{F}(V14,V16,V0), P_multiply-{F}(V9,V17,V18), P_add-{F}(V17,V19,V11), P_add-{F}(V18,V20,V6), P_multiply-{F}(V9,V21,V20), P_multiply-{F}(V21,V19,V22), P_add-{F}(V17,V22,V13), P_add-{F}(V21,V23,V15), P_multiply-{F}(V23,V17,V24), P_add-{F}(V21,V24,V16) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1048: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #1026 ), references = 1, size of lhs = 25:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6), P_inverse-{F}(V5,V6), P_add-{F}(V7,V3,V0), P_multiply-{F}(V1,V7,V1), P_add-{F}(V7,V1,V8), P_add-{F}(V2,V8,V0), P_multiply-{F}(V8,V0,V9), P_add-{F}(V10,V1,V8), P_multiply-{F}(V1,V10,V1), P_add-{F}(V10,V2,V0), P_multiply-{F}(V8,V11,V1), P_multiply-{F}(V10,V11,V1), P_add-{F}(V11,V1,V12), P_multiply-{F}(V13,V2,V12), P_add-{F}(V13,V12,V3), P_add-{F}(V2,V14,V2), P_add-{F}(V11,V14,V15), P_add-{F}(V15,V0,V0), P_add-{F}(V13,V15,V3) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1098: mergings( V1 == V3, V3 == V11, V11 == V12, V12 == V13, V13 == V18, V18 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V2 == V4, V4 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V21, V21 == V23, V23 == V25, V9 == V44, V25 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V5 == V39, V6 == V40, V7 == V41, V8 == V44; #1063 ), references = 2, size of lhs = 25:
% 61.26/61.47 P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V1,V1), P_additive_identity-{F}(V2), P_add-{F}(V0,V2,V0), P_add-{F}(V2,V1,V3), P_a-{F}(V4), P_multiply-{F}(V4,V0,V0), P_add-{F}(V0,V4,V5), P_add-{F}(V5,V1,V1), P_b-{F}(V6), P_multiply-{F}(V6,V1,V6), P_add-{F}(V0,V6,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V4,V6,V7), P_add-{F}(V4,V8,V4), P_add-{F}(V0,V8,V9), P_add-{F}(V9,V1,V1), P_multiply-{F}(V10,V4,V0), P_add-{F}(V10,V0,V6), P_add-{F}(V10,V9,V6), P_multiply-{F}(V3,V1,V11), P_multiply-{F}(V2,V11,V2), P_multiply-{F}(V1,V1,V12), P_multiply-{F}(V2,V12,V2) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1133: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V10, V12 == V13, V10 == V17, V17 == V16, V3 == V5, V5 == V8, V8 == V11, V9 == V13, V16 == V13; #1119 ), references = 1, size of lhs = 17:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_multiply-{F}(V1,V0,V1), P_a-{F}(V2), P_add-{F}(V2,V0,V0), P_multiply-{F}(V0,V2,V2), P_multiply-{F}(V1,V2,V1), P_b-{F}(V3), P_multiply-{F}(V3,V0,V3), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V3,V3), P_multiply-{F}(V3,V4,V3), P_add-{F}(V2,V4,V5), P_multiply-{F}(V3,V5,V3) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1153: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V14 == V15, V12 == V18, V18 == V17, V2 == V5, V5 == V7, V7 == V10, V10 == V13, V11 == V15, V17 == V15; #1137 ), references = 1, size of lhs = 10:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_multiply-{F}(V1,V0,V1), P_a-{F}(V2), P_multiply-{F}(V0,V2,V2), P_multiply-{F}(V1,V2,V1), P_add-{F}(V2,V0,V0) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1183: mergings( V7 == V19, V1 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V20 == V21, V18 == V23, V23 == V22, V2 == V4, V4 == V9, V9 == V12, V12 == V14, V14 == V17, V5 == V22, V17 == V19, V22 == V21; #1161 ), references = 1, size of lhs = 6:
% 61.26/61.47 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V0,V0), P_multiply-{F}(V1,V0,V1) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1200: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1191 ), references = 1, size of lhs = 1:
% 61.26/61.47 P_multiplicative_identity-{F}(V0) | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 #1202: exists( #20, #1191 ), references = 1, size of lhs = 0:
% 61.26/61.47 FALSE | FALSE
% 61.26/61.47 (used 0 times, uses = {})
% 61.26/61.47
% 61.26/61.47 number of learnt formulas = 75
% 61.26/61.47
% 61.26/61.47
% 61.26/61.47 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.26/61.47
% 61.26/61.47 randbase = 1
%------------------------------------------------------------------------------