TSTP Solution File: BOO014-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:58:38 EDT 2022
% Result : Unsatisfiable 44.94s 45.13s
% Output : Refutation 44.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.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
% 0.13/0.34 % DateTime : Fri Jul 22 08:30:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 44.94/45.13 GeoParameters:
% 44.94/45.13
% 44.94/45.13 tptp_input = 1
% 44.94/45.13 tptp_output = 0
% 44.94/45.13 nonempty = 1
% 44.94/45.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.94/45.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 44.94/45.13
% 44.94/45.13
% 44.94/45.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.94/45.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.94/45.13
% 44.94/45.13 RuleSystem INPUT:
% 44.94/45.13
% 44.94/45.13 Initial Rules:
% 44.94/45.13 #0: input, references = 5, size of lhs = 3:
% 44.94/45.13 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #1: input, references = 5, size of lhs = 3:
% 44.94/45.13 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #2: input, references = 5, size of lhs = 6:
% 44.94/45.13 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
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #3: input, references = 7, size of lhs = 6:
% 44.94/45.13 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
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #4: input, references = 5, size of lhs = 6:
% 44.94/45.13 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
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #5: input, references = 6, size of lhs = 6:
% 44.94/45.13 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
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #6: input, references = 6, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #7: input, references = 6, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #8: input, references = 6, size of lhs = 5:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #9: input, references = 5, size of lhs = 5:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), V4 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #10: input, references = 4, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), V3 == V2 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #11: input, references = 4, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V2,V3), V3 == V2 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #12: input, references = 6, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V1,V3), V3 == V2 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #13: input, references = 4, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V2,V3), V3 == V2 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #14: input, references = 5, size of lhs = 7:
% 44.94/45.13 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), V4 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #15: input, references = 10, size of lhs = 11:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V6,V7,V8), P_d-{F}(V9), V8 == V9 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #16: input, references = 9, size of lhs = 11:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V6,V7,V8), P_d-{F}(V9), P_inverse-{F}(V5,V9) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #17: input, references = 11, size of lhs = 2:
% 44.94/45.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #18: input, references = 9, size of lhs = 2:
% 44.94/45.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #19: input, references = 24, size of lhs = 1:
% 44.94/45.13 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #20: input, references = 4, size of lhs = 0:
% 44.94/45.13 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #21: input, references = 4, size of lhs = 0:
% 44.94/45.13 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #22: input, references = 4, size of lhs = 0:
% 44.94/45.13 FALSE | EXISTS V0: P_a-{T}(V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #23: input, references = 5, size of lhs = 0:
% 44.94/45.13 FALSE | EXISTS V0: P_b-{T}(V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #24: input, references = 7, size of lhs = 0:
% 44.94/45.13 FALSE | EXISTS V0: P_c-{T}(V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #25: input, references = 13, size of lhs = 0:
% 44.94/45.13 FALSE | EXISTS V0: P_d-{T}(V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 number of initial rules = 26
% 44.94/45.13
% 44.94/45.13 Simplifiers:
% 44.94/45.13 #26: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #27: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #28: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #29: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #30: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #31: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #32: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #33: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #34: unsound, references = 3, size of lhs = 3:
% 44.94/45.13 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 number of simplifiers = 9
% 44.94/45.13
% 44.94/45.13 Learnt:
% 44.94/45.13 #37: exists( #17, #6 ), references = 7, size of lhs = 2:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #38: exists( #17, #7 ), references = 20, size of lhs = 2:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #45: mergings( V2 == V3; #42 ), references = 2, size of lhs = 2:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #52: exists( #18, #10 ), references = 21, size of lhs = 3:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V0,V2)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #54: exists( #24, #14 ), references = 1, size of lhs = 5:
% 44.94/45.13 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-{T}(V4)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #56: exists( #25, #15 ), references = 1, size of lhs = 9:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V6,V7,V8) | P_d-{T}(V8)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #61: exists( #17, #5 ), references = 11, size of lhs = 4:
% 44.94/45.13 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)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #65: exists( #17, #12 ), references = 12, size of lhs = 3:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_add-{T}(V2,V1,V2)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #66: exists( #17, #14 ), references = 6, size of lhs = 5:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | P_add-{T}(V2,V3,V4)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #72: mergings( V2 == V4, V3 == V5; #69 ), references = 2, size of lhs = 8:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V0), P_add-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6) | P_inverse-{T}(V2,V6)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #86: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8, V5 == V11, V10 == V12, V6 == V9; #78 ), references = 1, size of lhs = 7:
% 44.94/45.13 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,V0), P_add-{F}(V2,V3,V4) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #89: exists( #18, #3 ), references = 12, size of lhs = 4:
% 44.94/45.13 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)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #105: mergings( V2 == V3; #102 ), references = 1, size of lhs = 5:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V0,V3), P_multiply-{F}(V3,V0,V4), V4 == V0 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #108: mergings( V2 == V4, V3 == V5; #103 ), references = 2, size of lhs = 4:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V0,V3), V0 == V3 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #114: exists( #18, #8 ), references = 23, size of lhs = 3:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #115: exists( #18, #9 ), references = 3, size of lhs = 3:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V3,V2,V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #123: exists( #24, #119 ), references = 2, size of lhs = 5:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V2,V4) | P_c-{T}(V4)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #126: mergings( V1 == V5, V2 == V3; #122 ), references = 1, size of lhs = 4:
% 44.94/45.13 P_a-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_multiplicative_identity-{F}(V2) | P_c-{T}(V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #141: exists( #18, #133 ), references = 25, size of lhs = 5:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V3,V1), P_add-{F}(V4,V3,V5), P_multiply-{F}(V2,V5,V6) | P_multiply-{T}(V2,V4,V6)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #142: exists( #18, #134 ), references = 2, size of lhs = 5:
% 44.94/45.13 P_add-{F}(V0,V1,V0), P_multiply-{F}(V0,V2,V1), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V2,V4), P_multiply-{F}(V0,V4,V5) | P_multiply-{T}(V0,V3,V5)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #145: mergings( V3 == V5, V4 == V6; #140 ), references = 2, size of lhs = 7:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V1), P_multiply-{F}(V3,V4,V2), P_add-{F}(V5,V4,V6), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V7,V0,V8) | P_multiply-{T}(V3,V5,V8)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #151: mergings( V2 == V4, V3 == V5; #148 ), references = 4, size of lhs = 8:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V1,V1), P_a-{F}(V2), P_b-{F}(V2), P_add-{F}(V2,V2,V3), P_c-{F}(V4), P_d-{F}(V5) | P_inverse-{T}(V2,V5)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #164: mergings( V9 == V10, V1 == V3, V3 == V6, V2 == V4, V4 == V7, V5 == V8; #157 ), references = 1, size of lhs = 7:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V1,V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V2), P_add-{F}(V2,V2,V3) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #177: mergings( V4 == V10, V1 == V6, V6 == V7, V2 == V8; #172 ), references = 1, size of lhs = 10:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), P_multiply-{F}(V3,V3,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V0,V0,V5), P_multiply-{F}(V2,V5,V6), V4 == V6 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #192: mergings( V4 == V10, V1 == V6, V6 == V7, V2 == V8; #187 ), references = 1, size of lhs = 10:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), P_multiply-{F}(V3,V3,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V0,V0,V5), P_multiply-{F}(V5,V2,V6), V4 == V6 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #202: mergings( V2 == V4, V4 == V7, V7 == V8, V1 == V3, V3 == V5, V5 == V9; #195 ), references = 1, size of lhs = 6:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), P_multiply-{F}(V2,V2,V2), P_add-{F}(V0,V2,V3) | P_c-{T}(V3)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #207: exists( #18, #1 ), references = 37, size of lhs = 1:
% 44.94/45.13 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #209: exists( #17, #108 ), references = 9, size of lhs = 3:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_add-{T}(V2,V0,V0)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #214: mergings( V0 == V3, V2 == V4; #211 ), references = 1, size of lhs = 2:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #223: mergings( V2 == V3, V3 == V5, V4 == V6; #219 ), references = 2, size of lhs = 10:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_add-{F}(V6,V3,V3), P_d-{F}(V7), V1 == V7 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #228: mergings( V1 == V2, V2 == V4, V3 == V5; #224 ), references = 2, size of lhs = 8:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_add-{F}(V6,V3,V3) | P_d-{T}(V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #237: mergings( V2 == V3, V3 == V5, V4 == V6; #233 ), references = 3, size of lhs = 10:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_add-{F}(V6,V3,V3), P_d-{F}(V7), P_inverse-{F}(V5,V7) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #266: mergings( V6 == V16, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V4, V4 == V16, V16 == V8, V8 == V10, V10 == V12, V12 == V14, V13 == V15; #251 ), references = 1, size of lhs = 6:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V1), P_add-{F}(V2,V0,V0) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #273: mergings( V2 == V4, V3 == V5, V4 == V6; #269 ), references = 1, size of lhs = 8:
% 44.94/45.13 P_b-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_add-{F}(V2,V0,V0), P_c-{F}(V3), P_d-{F}(V4), V1 == V4 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #278: mergings( V1 == V3, V2 == V4, V3 == V6; #274 ), references = 1, size of lhs = 6:
% 44.94/45.13 P_b-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_add-{F}(V2,V0,V0), P_c-{F}(V3) | P_d-{T}(V1)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #284: mergings( V2 == V4, V3 == V5, V4 == V6; #280 ), references = 1, size of lhs = 8:
% 44.94/45.13 P_b-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_add-{F}(V2,V0,V0), P_c-{F}(V3), P_d-{F}(V4), P_inverse-{F}(V3,V4) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #291: exists( #17, #0 ), references = 10, size of lhs = 1:
% 44.94/45.13 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #301: mergings( V2 == V3, V3 == V5, V4 == V6; #297 ), references = 1, size of lhs = 11:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_multiply-{F}(V6,V3,V1), P_multiply-{F}(V6,V0,V7), P_d-{F}(V8), V7 == V8 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #313: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V2 == V7, V7 == V9; #306 ), references = 2, size of lhs = 8:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V3,V2,V2), P_add-{F}(V2,V3,V4), P_c-{F}(V5), P_d-{F}(V6) | P_inverse-{T}(V2,V6)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #323: mergings( V2 == V3, V3 == V5, V4 == V6; #319 ), references = 1, size of lhs = 11:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_multiply-{F}(V6,V3,V1), P_multiply-{F}(V6,V0,V7), P_d-{F}(V8), P_inverse-{F}(V5,V8) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #341: mergings( V2 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V1 == V3, V3 == V10, V10 == V12, V4 == V15, V14 == V16, V5 == V13; #329 ), references = 1, size of lhs = 7:
% 44.94/45.13 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}(V3,V2,V2), P_add-{F}(V2,V3,V4) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #357: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V8, V3 == V7, V7 == V9; #350 ), references = 2, size of lhs = 10:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_d-{F}(V7), P_add-{F}(V6,V8,V0), P_add-{F}(V8,V3,V3) | P_inverse-{T}(V3,V7)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #375: mergings( V10 == V11, V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V14, V3 == V7, V7 == V9; #364 ), references = 1, size of lhs = 9:
% 44.94/45.13 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V1,V2,V2), P_c-{F}(V3), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_add-{F}(V2,V4,V6), V6 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #384: mergings( V10 == V11, V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V14, V3 == V7, V7 == V9; #365 ), references = 1, size of lhs = 9:
% 44.94/45.13 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V1,V2,V2), P_c-{F}(V3), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_add-{F}(V4,V2,V6), V6 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #394: mergings( V10 == V11, V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V14, V3 == V7, V7 == V9, V9 == V15; #366 ), references = 1, size of lhs = 9:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V1), P_c-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), P_multiply-{F}(V1,V3,V6), V6 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #416: mergings( V11 == V12, V12 == V13, V2 == V5, V5 == V6, V6 == V7, V7 == V9, V3 == V8, V8 == V10, V4 == V13; #406 ), references = 1, size of lhs = 8:
% 44.94/45.13 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}(V2,V3,V3), P_d-{F}(V4), P_multiply-{F}(V4,V0,V5) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #429: mergings( V12 == V13, V13 == V14, V2 == V5, V5 == V6, V6 == V7, V7 == V9, V1 == V3, V3 == V8, V8 == V10, V4 == V14; #418 ), references = 1, size of lhs = 6:
% 44.94/45.13 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}(V2,V3,V3) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #445: exists( #18, #4 ), references = 5, size of lhs = 4:
% 44.94/45.13 P_add-{F}(V0,V1,V2), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V4,V5,V6) | P_multiply-{T}(V2,V3,V6)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #460: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #455 ), references = 1, size of lhs = 21:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V7,V8,V1), P_d-{F}(V9), P_multiply-{F}(V6,V10,V11), P_add-{F}(V8,V11,V12), P_multiply-{F}(V12,V7,V13), P_add-{F}(V8,V10,V14), P_add-{F}(V14,V15,V0), P_multiply-{F}(V8,V15,V16), P_multiply-{F}(V6,V15,V17), P_add-{F}(V16,V17,V18), P_multiply-{F}(V18,V7,V19), P_add-{F}(V13,V19,V20), V20 == V9 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #487: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V10, V10 == V12, V12 == V14, V14 == V16; #473 ), references = 5, size of lhs = 18:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V7,V8,V1), P_add-{F}(V7,V8,V0), P_d-{F}(V9), P_add-{F}(V6,V10,V0), P_add-{F}(V10,V8,V11), P_add-{F}(V8,V11,V11), P_add-{F}(V8,V12,V11), P_multiply-{F}(V6,V12,V13), P_add-{F}(V8,V13,V14), P_multiply-{F}(V14,V7,V1) | P_inverse-{T}(V11,V9)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #517: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V23, V4 == V12, V12 == V14, V14 == V16; #500 ), references = 1, size of lhs = 16:
% 44.94/45.13 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V1,V2,V3), P_c-{F}(V4), P_inverse-{F}(V1,V5), P_d-{F}(V6), P_multiplicative_identity-{F}(V7), P_add-{F}(V5,V8,V7), P_add-{F}(V8,V2,V9), P_add-{F}(V2,V9,V9), P_add-{F}(V2,V10,V9), P_multiply-{F}(V5,V10,V11), P_add-{F}(V2,V11,V2), P_add-{F}(V9,V6,V12), V12 == V7 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #532: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V23, V4 == V12, V12 == V14, V14 == V16; #501 ), references = 1, size of lhs = 16:
% 44.94/45.13 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V1,V2,V3), P_c-{F}(V4), P_inverse-{F}(V1,V5), P_d-{F}(V6), P_multiplicative_identity-{F}(V7), P_add-{F}(V5,V8,V7), P_add-{F}(V8,V2,V9), P_add-{F}(V2,V9,V9), P_add-{F}(V2,V10,V9), P_multiply-{F}(V5,V10,V11), P_add-{F}(V2,V11,V2), P_add-{F}(V6,V9,V12), V12 == V7 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #548: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V23, V4 == V12, V12 == V14, V14 == V16, V16 == V24; #502 ), references = 1, size of lhs = 16:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_d-{F}(V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V4,V7,V6), P_additive_identity-{F}(V8), P_add-{F}(V7,V1,V9), P_add-{F}(V1,V9,V9), P_add-{F}(V1,V10,V9), P_multiply-{F}(V4,V10,V11), P_add-{F}(V1,V11,V1), P_multiply-{F}(V9,V5,V12), V12 == V8 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #578: mergings( V20 == V24, V2 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V23, V3 == V6, V6 == V14, V14 == V16, V16 == V18; #558 ), references = 1, size of lhs = 12:
% 44.94/45.13 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V2,V0,V2), P_c-{F}(V3), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_add-{F}(V1,V2,V6), P_add-{F}(V2,V6,V6), P_add-{F}(V2,V1,V6), P_add-{F}(V6,V4,V7), V7 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #596: mergings( V20 == V24, V2 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V23, V3 == V6, V6 == V14, V14 == V16, V16 == V18; #559 ), references = 1, size of lhs = 12:
% 44.94/45.13 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_add-{F}(V2,V0,V2), P_c-{F}(V3), P_d-{F}(V4), P_multiplicative_identity-{F}(V5), P_add-{F}(V1,V2,V6), P_add-{F}(V2,V6,V6), P_add-{F}(V2,V1,V6), P_add-{F}(V4,V6,V7), V7 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #615: mergings( V20 == V25, V2 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V23, V3 == V6, V6 == V14, V14 == V16, V16 == V18, V18 == V24; #560 ), references = 1, size of lhs = 12:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), P_add-{F}(V1,V5,V1), P_add-{F}(V0,V1,V6), P_add-{F}(V1,V6,V6), P_add-{F}(V1,V0,V6), P_multiply-{F}(V6,V3,V7), V7 == V5 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #639: mergings( V2 == V3, V3 == V11, V4 == V12; #633 ), references = 1, size of lhs = 19:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_d-{F}(V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V4,V7,V6), P_additive_identity-{F}(V8), P_add-{F}(V7,V1,V9), P_add-{F}(V1,V9,V9), P_add-{F}(V1,V10,V9), P_multiply-{F}(V4,V10,V11), P_add-{F}(V1,V11,V1), P_add-{F}(V8,V12,V13), P_add-{F}(V9,V12,V14), P_add-{F}(V5,V12,V15), P_multiply-{F}(V14,V15,V16), V13 == V16 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #643: mergings( V2 == V3, V3 == V11, V4 == V12; #634 ), references = 1, size of lhs = 19:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_d-{F}(V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V4,V7,V6), P_additive_identity-{F}(V8), P_add-{F}(V7,V1,V9), P_add-{F}(V1,V9,V9), P_add-{F}(V1,V10,V9), P_multiply-{F}(V4,V10,V11), P_add-{F}(V1,V11,V1), P_add-{F}(V12,V8,V13), P_add-{F}(V12,V9,V14), P_add-{F}(V12,V5,V15), P_multiply-{F}(V14,V15,V16), V13 == V16 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #647: mergings( V2 == V3, V3 == V11, V4 == V12; #635 ), references = 1, size of lhs = 19:
% 44.94/45.13 P_a-{F}(V0), P_b-{F}(V1), P_add-{F}(V0,V1,V2), P_c-{F}(V3), P_inverse-{F}(V0,V4), P_d-{F}(V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V4,V7,V6), P_additive_identity-{F}(V8), P_add-{F}(V7,V1,V9), P_add-{F}(V1,V9,V9), P_add-{F}(V1,V10,V9), P_multiply-{F}(V4,V10,V11), P_add-{F}(V1,V11,V1), P_add-{F}(V5,V12,V13), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V9,V12,V15), P_add-{F}(V8,V15,V16), V14 == V16 | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #671: exists( #17, #669 ), references = 7, size of lhs = 10:
% 44.94/45.13 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}(V4,V6,V2), P_multiply-{F}(V7,V3,V8), P_add-{F}(V5,V8,V9), P_multiply-{F}(V7,V6,V10), P_add-{F}(V4,V10,V11), P_add-{F}(V11,V9,V12) | P_add-{T}(V4,V7,V12)
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #712: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #701 ), references = 1, size of lhs = 38:
% 44.94/45.13 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_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_d-{F}(V8), P_inverse-{F}(V5,V8), P_add-{F}(V0,V9,V0), P_multiply-{F}(V7,V9,V10), P_multiply-{F}(V7,V11,V1), P_add-{F}(V6,V12,V6), P_add-{F}(V7,V12,V7), P_add-{F}(V13,V9,V0), P_add-{F}(V14,V10,V1), P_multiply-{F}(V11,V15,V1), P_add-{F}(V16,V0,V0), P_add-{F}(V17,V16,V13), P_multiply-{F}(V11,V17,V18), P_multiply-{F}(V17,V9,V19), P_add-{F}(V19,V14,V20), P_add-{F}(V17,V15,V21), P_add-{F}(V21,V20,V0), P_add-{F}(V22,V18,V17), P_multiply-{F}(V23,V9,V24), P_add-{F}(V23,V25,V6), P_add-{F}(V23,V26,V16), P_add-{F}(V24,V27,V14), P_multiply-{F}(V28,V9,V27), P_multiply-{F}(V28,V25,V29), P_add-{F}(V23,V29,V12), P_multiply-{F}(V26,V28,V30), P_add-{F}(V23,V30,V15), P_add-{F}(V28,V31,V17), P_multiply-{F}(V23,V31,V32), P_add-{F}(V28,V32,V22) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #760: mergings( V16 == V26, V41 == V48, V2 == V3, V3 == V4, V4 == V5, V5 == V12, V27 == V19, V12 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V21, V21 == V23, V23 == V25, V25 == V19, V19 == V29, V31 == V29, V29 == V33, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V6 == V35, V7 == V36, V9 == V37, V8 == V11; #729 ), references = 1, size of lhs = 48:
% 44.94/45.13 P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), P_multiply-{F}(V2,V1,V2), P_a-{F}(V3), P_b-{F}(V4), P_add-{F}(V4,V0,V0), P_add-{F}(V5,V4,V0), P_add-{F}(V3,V4,V6), P_inverse-{F}(V3,V7), P_add-{F}(V7,V5,V1), P_d-{F}(V8), P_add-{F}(V8,V1,V1), P_add-{F}(V1,V9,V1), P_add-{F}(V9,V4,V4), P_add-{F}(V7,V2,V10), P_add-{F}(V11,V0,V0), P_add-{F}(V7,V11,V12), P_add-{F}(V12,V13,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V8,V13,V15), P_add-{F}(V14,V15,V16), P_add-{F}(V10,V16,V7), P_multiply-{F}(V8,V9,V17), P_add-{F}(V2,V17,V2), P_add-{F}(V8,V18,V8), P_add-{F}(V19,V0,V0), P_multiply-{F}(V19,V9,V20), P_add-{F}(V17,V20,V21), P_add-{F}(V21,V2,V2), P_multiply-{F}(V0,V9,V22), P_add-{F}(V22,V21,V23), P_add-{F}(V1,V23,V1), P_multiply-{F}(V18,V19,V24), P_add-{F}(V8,V24,V8), P_add-{F}(V19,V2,V25), P_add-{F}(V4,V26,V0), P_multiply-{F}(V7,V26,V27), P_add-{F}(V4,V27,V4), P_multiply-{F}(V4,V0,V28), P_add-{F}(V25,V28,V0), P_multiply-{F}(V8,V29,V8), P_add-{F}(V30,V11,V29), P_multiply-{F}(V30,V31,V7), P_add-{F}(V8,V32,V31), P_multiply-{F}(V30,V32,V33), P_multiply-{F}(V19,V33,V34), P_add-{F}(V8,V34,V8) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #806: mergings( V15 == V40, V40 == V41, V20 == V30, V44 == V46, V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V16, V31 == V23, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V23, V23 == V33, V35 == V33, V33 == V37, V3 == V7, V7 == V9, V9 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V14 == V41; #768 ), references = 1, size of lhs = 41:
% 44.94/45.13 P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), P_multiply-{F}(V2,V1,V2), P_a-{F}(V3), P_add-{F}(V3,V0,V0), P_b-{F}(V4), P_add-{F}(V4,V0,V0), P_add-{F}(V4,V2,V4), P_add-{F}(V4,V3,V0), P_add-{F}(V3,V4,V0), P_d-{F}(V5), P_add-{F}(V5,V2,V5), P_add-{F}(V5,V1,V1), P_add-{F}(V1,V6,V1), P_add-{F}(V6,V4,V4), P_add-{F}(V7,V0,V0), P_multiply-{F}(V7,V3,V3), P_multiply-{F}(V5,V6,V8), P_add-{F}(V2,V8,V2), P_add-{F}(V5,V9,V5), P_multiply-{F}(V0,V6,V10), P_multiply-{F}(V4,V0,V11), P_add-{F}(V1,V12,V1), P_add-{F}(V12,V3,V3), P_multiply-{F}(V3,V6,V13), P_add-{F}(V8,V13,V14), P_add-{F}(V14,V2,V2), P_add-{F}(V10,V14,V15), P_add-{F}(V1,V15,V1), P_multiply-{F}(V9,V3,V16), P_add-{F}(V5,V16,V5), P_add-{F}(V3,V2,V17), P_add-{F}(V17,V11,V0), P_multiply-{F}(V5,V12,V18), P_add-{F}(V2,V18,V2), P_multiply-{F}(V7,V12,V19), P_add-{F}(V2,V19,V20), P_add-{F}(V1,V20,V21), P_multiply-{F}(V5,V21,V5), P_add-{F}(V21,V12,V1) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #855: mergings( V19 == V45, V45 == V46, V27 == V12, V24 == V34, V6 == V48, V1 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V15, V15 == V16, V16 == V17, V12 == V29, V17 == V20, V35 == V29, V20 == V21, V21 == V22, V22 == V23, V23 == V25, V25 == V31, V31 == V33, V33 == V29, V29 == V37, V39 == V37, V37 == V41, V2 == V4, V4 == V48, V48 == V7, V7 == V11, V11 == V13, V13 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V18 == V46; #812 ), references = 1, size of lhs = 31:
% 44.94/45.13 P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), P_multiply-{F}(V2,V1,V2), P_add-{F}(V2,V2,V2), P_a-{F}(V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V2,V3,V2), P_b-{F}(V4), P_add-{F}(V4,V0,V0), P_add-{F}(V4,V2,V4), P_add-{F}(V4,V3,V0), P_add-{F}(V3,V4,V0), P_add-{F}(V5,V4,V4), P_add-{F}(V5,V3,V3), P_add-{F}(V1,V5,V1), P_multiply-{F}(V5,V1,V2), P_add-{F}(V6,V0,V0), P_multiply-{F}(V6,V3,V3), P_multiply-{F}(V0,V5,V7), P_multiply-{F}(V4,V0,V8), P_multiply-{F}(V3,V5,V9), P_add-{F}(V2,V9,V10), P_add-{F}(V10,V2,V2), P_add-{F}(V7,V10,V11), P_add-{F}(V1,V11,V1), P_add-{F}(V3,V2,V12), P_add-{F}(V12,V8,V0), P_multiply-{F}(V6,V5,V13), P_add-{F}(V2,V13,V14), P_add-{F}(V1,V14,V1) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #919: mergings( V33 == V20, V30 == V40, V14 == V53, V6 == V52, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V17, V17 == V18, V18 == V22, V22 == V23, V23 == V24, V24 == V25, V20 == V35, V25 == V26, V41 == V35, V26 == V27, V27 == V28, V28 == V29, V29 == V31, V31 == V37, V52 == V53, V32 == V59, V37 == V39, V39 == V35, V35 == V43, V45 == V43, V43 == V47, V2 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V53, V53 == V15, V15 == V19, V19 == V21, V21 == V59, V59 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48; #869 ), references = 1, size of lhs = 28:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V1), P_add-{F}(V1,V1,V1), P_add-{F}(V0,V1,V0), P_a-{F}(V2), P_multiply-{F}(V1,V2,V1), P_add-{F}(V2,V1,V2), P_add-{F}(V2,V0,V0), P_b-{F}(V3), P_add-{F}(V3,V1,V3), P_add-{F}(V3,V0,V0), P_add-{F}(V4,V3,V3), P_add-{F}(V4,V2,V2), P_add-{F}(V0,V4,V0), P_multiply-{F}(V4,V0,V1), P_multiply-{F}(V2,V4,V5), P_add-{F}(V1,V5,V6), P_add-{F}(V6,V1,V1), P_add-{F}(V1,V6,V7), P_add-{F}(V0,V7,V0), P_add-{F}(V3,V8,V3), P_multiply-{F}(V8,V2,V9), P_add-{F}(V3,V9,V3), P_add-{F}(V2,V10,V2), P_multiply-{F}(V10,V3,V11), P_add-{F}(V2,V11,V2) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #979: mergings( V24 == V37, V10 == V54, V34 == V44, V18 == V55, V4 == V61, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V21, V21 == V22, V22 == V26, V26 == V27, V27 == V28, V28 == V29, V37 == V39, V29 == V30, V39 == V45, V30 == V31, V31 == V32, V32 == V33, V33 == V35, V35 == V41, V54 == V55, V36 == V59, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V2 == V61, V61 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V55, V55 == V19, V19 == V23, V23 == V25, V25 == V59, V44 == V59, V38 == V40, V40 == V42, V42 == V59, V59 == V46, V46 == V48, V48 == V50, V50 == V52; #924 ), references = 2, size of lhs = 18:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V1), P_add-{F}(V1,V1,V1), P_add-{F}(V0,V1,V0), P_a-{F}(V2), P_add-{F}(V2,V0,V0), P_add-{F}(V1,V2,V2), P_multiply-{F}(V1,V2,V1), P_add-{F}(V2,V1,V2), P_multiply-{F}(V2,V1,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V4,V1,V1), P_add-{F}(V1,V4,V5), P_add-{F}(V0,V5,V0), P_add-{F}(V2,V6,V2), P_multiply-{F}(V6,V0,V1) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #992: mergings( V6 == V7, V7 == V8, V4 == V8, V1 == V3, V3 == V5, V2 == V8; #985 ), references = 1, size of lhs = 6:
% 44.94/45.13 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V1), P_add-{F}(V1,V1,V1), P_add-{F}(V0,V1,V0) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #1002: mergings( V1 == V2, V2 == V3, V3 == V4; #998 ), references = 1, size of lhs = 1:
% 44.94/45.13 P_multiplicative_identity-{F}(V0) | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 #1004: exists( #20, #998 ), references = 1, size of lhs = 0:
% 44.94/45.13 FALSE | FALSE
% 44.94/45.13 (used 0 times, uses = {})
% 44.94/45.13
% 44.94/45.13 number of learnt formulas = 69
% 44.94/45.13
% 44.94/45.13
% 44.94/45.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.94/45.13
% 44.94/45.13 randbase = 1
%------------------------------------------------------------------------------