TSTP Solution File: FLD030-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 06:01:07 EDT 2022
% Result : Unsatisfiable 2.56s 2.73s
% Output : Refutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 10:11:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.56/2.73 GeoParameters:
% 2.56/2.73
% 2.56/2.73 tptp_input = 1
% 2.56/2.73 tptp_output = 0
% 2.56/2.73 nonempty = 1
% 2.56/2.73 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.73 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.56/2.73
% 2.56/2.73
% 2.56/2.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.73
% 2.56/2.73 RuleSystem INPUT:
% 2.56/2.73
% 2.56/2.73 Initial Rules:
% 2.56/2.73 #0: input, references = 3, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1: input, references = 15, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #2: input, references = 10, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #3: input, references = 6, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #4: input, references = 3, size of lhs = 8:
% 2.56/2.73 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #5: input, references = 12, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #6: input, references = 3, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #7: input, references = 13, size of lhs = 6:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #8: input, references = 5, size of lhs = 10:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #9: input, references = 3, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #10: input, references = 3, size of lhs = 2:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #11: input, references = 3, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #12: input, references = 3, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #13: input, references = 3, size of lhs = 2:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #14: input, references = 3, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #15: input, references = 12, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #16: input, references = 4, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #17: input, references = 7, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #18: input, references = 13, size of lhs = 6:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #19: input, references = 3, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #20: input, references = 3, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #21: input, references = 34, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #22: input, references = 37, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #23: input, references = 5, size of lhs = 6:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #24: input, references = 5, size of lhs = 6:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #25: input, references = 14, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #26: input, references = 15, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #27: input, references = 3, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #28: input, references = 4, size of lhs = 4:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #29: input, references = 4, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4) | defined-{T}(V4)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #30: input, references = 5, size of lhs = 5:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4) | equalish-{T}(V2,V4)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #31: input, references = 6, size of lhs = 8:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), equalish-{F}(V5,V6) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #32: input, references = 18, size of lhs = 2:
% 2.56/2.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #33: input, references = 4, size of lhs = 0:
% 2.56/2.73 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #34: input, references = 3, size of lhs = 1:
% 2.56/2.73 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #35: input, references = 14, size of lhs = 2:
% 2.56/2.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #36: input, references = 4, size of lhs = 0:
% 2.56/2.73 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #37: input, references = 3, size of lhs = 1:
% 2.56/2.73 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #38: input, references = 4, size of lhs = 0:
% 2.56/2.73 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #39: input, references = 4, size of lhs = 0:
% 2.56/2.73 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #40: input, references = 5, size of lhs = 0:
% 2.56/2.73 FALSE | EXISTS V0: P_d-{T}(V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 number of initial rules = 41
% 2.56/2.73
% 2.56/2.73 Simplifiers:
% 2.56/2.73 #41: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #42: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #43: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #44: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #45: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #46: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #47: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #48: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #49: unsound, references = 3, size of lhs = 3:
% 2.56/2.73 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 number of simplifiers = 9
% 2.56/2.73
% 2.56/2.73 Learnt:
% 2.56/2.73 #86: mergings( V3 == V5, V5 == V6, V6 == V9, V4 == V8, V8 == V10; #80 ), references = 2, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #120: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #108 ), references = 6, size of lhs = 8:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), equalish-{F}(V2,V5) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #123: exists( #32, #121 ), references = 3, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #149: mergings( V3 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V22, V4 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V21; #138 ), references = 3, size of lhs = 16:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V5,V4,V6), P_multiply-{F}(V3,V2,V7), defined-{F}(V8), equalish-{F}(V8,V7), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), P_add-{F}(V6,V9,V10), P_multiplicative_identity-{F}(V10), P_additive_identity-{F}(V11) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #178: mergings( V3 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V4 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V19; #167 ), references = 3, size of lhs = 12:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_add-{F}(V5,V4,V6), P_additive_identity-{F}(V6), P_multiply-{F}(V3,V2,V7), P_multiplicative_identity-{F}(V8), equalish-{F}(V8,V7) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #203: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V17, V1 == V3, V3 == V5, V5 == V7, V7 == V10; #193 ), references = 1, size of lhs = 17:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V0,V2,V1), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V4,V6,V8), P_add-{F}(V8,V7,V9), P_additive_identity-{F}(V9), P_multiply-{F}(V6,V5,V10), equalish-{F}(V0,V10), P_add-{F}(V1,V2,V10) | less_or_equal-{T}(V1,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #212: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V21, V1 == V5, V5 == V7, V7 == V10, V10 == V20; #194 ), references = 1, size of lhs = 20:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V3,V5,V7), P_add-{F}(V7,V6,V8), P_multiply-{F}(V5,V4,V9), equalish-{F}(V0,V9), defined-{F}(V10), P_add-{F}(V0,V1,V10), P_add-{F}(V10,V1,V9), defined-{F}(V11), P_additive_inverse-{F}(V11,V10), P_add-{F}(V8,V11,V12), P_multiplicative_identity-{F}(V12), P_additive_identity-{F}(V13) | less_or_equal-{T}(V10,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #258: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #247 ), references = 1, size of lhs = 6:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V2) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #267: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V12, V0 == V5, V5 == V8, V8 == V10, V10 == V13; #248 ), references = 1, size of lhs = 8:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V2,V3,V0), P_add-{F}(V3,V1,V4), P_additive_identity-{F}(V4) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #276: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V14, V0 == V5, V5 == V8, V8 == V10, V10 == V13; #249 ), references = 1, size of lhs = 9:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V2,V3,V0), P_add-{F}(V3,V1,V4), P_additive_identity-{F}(V5), equalish-{F}(V4,V5) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #310: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V19, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V20; #298 ), references = 1, size of lhs = 15:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V2), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V4,V6,V8), P_add-{F}(V8,V7,V9), P_additive_identity-{F}(V9) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #321: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V23, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V22; #299 ), references = 1, size of lhs = 19:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V2), P_multiply-{F}(V3,V6,V7), P_multiply-{F}(V4,V6,V8), P_add-{F}(V8,V7,V9), equalish-{F}(V1,V10), defined-{F}(V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V10), P_add-{F}(V9,V11,V0), P_additive_identity-{F}(V12) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #336: mergings( V3 == V4, V4 == V6, V6 == V8, V0 == V5, V5 == V7, V7 == V9; #329 ), references = 2, size of lhs = 8:
% 2.56/2.73 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_d-{F}(V3), P_multiply-{F}(V3,V1,V4), equalish-{F}(V1,V4) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #365: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #354 ), references = 1, size of lhs = 11:
% 2.56/2.73 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_b-{F}(V3), equalish-{F}(V1,V3), P_additive_identity-{F}(V4), P_d-{F}(V5), P_multiply-{F}(V5,V3,V2) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #377: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12; #366 ), references = 1, size of lhs = 8:
% 2.56/2.73 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V0), P_d-{F}(V1), P_additive_identity-{F}(V2) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #401: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21, V2 == V6, V6 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V3 == V20, V4 == V20, V20 == V8; #381 ), references = 1, size of lhs = 5:
% 2.56/2.73 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #427: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V10, V5 == V7, V7 == V9; #418 ), references = 1, size of lhs = 8:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V0,V2,V3), P_multiplicative_identity-{F}(V3) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #457: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #449 ), references = 1, size of lhs = 5:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #506: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #496 ), references = 3, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), equalish-{F}(V2,V4) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #519: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #508 ), references = 1, size of lhs = 5:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #545: mergings( V3 == V5, V4 == V6; #542 ), references = 1, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V3) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #596: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #585 ), references = 1, size of lhs = 6:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #606: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #586 ), references = 2, size of lhs = 10:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V3,V0), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V5), P_add-{F}(V5,V0,V3) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #619: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #607 ), references = 1, size of lhs = 5:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V1,V0), P_multiplicative_identity-{F}(V1) | less_or_equal-{T}(V1,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #659: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #646 ), references = 1, size of lhs = 6:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #671: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #647 ), references = 1, size of lhs = 10:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V0,V3), P_add-{F}(V4,V0,V3), less_or_equal-{F}(V4,V5), P_additive_identity-{F}(V5) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #711: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V3; #706 ), references = 1, size of lhs = 10:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V1,V1,V2), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V3,V4,V2) | less_or_equal-{T}(V1,V0)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #749: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #733 ), references = 1, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V2,V1), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #774: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V3 == V5, V5 == V8, V8 == V0, V0 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #753 ), references = 1, size of lhs = 5:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #816: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #804 ), references = 1, size of lhs = 6:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #829: mergings( V3 == V4, V4 == V6, V6 == V1, V1 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17; #805 ), references = 1, size of lhs = 9:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V3), defined-{F}(V4), P_add-{F}(V4,V1,V2), P_add-{F}(V3,V4,V0) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #858: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V12, V4 == V7, V7 == V9, V9 == V14; #850 ), references = 1, size of lhs = 11:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), equalish-{F}(V1,V2), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V2), equalish-{F}(V3,V5), P_add-{F}(V5,V4,V6), P_multiplicative_identity-{F}(V6) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #864: mergings( V0 == V2, V1 == V3; #861 ), references = 1, size of lhs = 6:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V1,V2), equalish-{F}(V2,V0) | less_or_equal-{T}(V0,V1)
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #891: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #879 ), references = 1, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V3), less_or_equal-{F}(V3,V0), equalish-{F}(V3,V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #961: mergings( V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V11; #949 ), references = 1, size of lhs = 6:
% 2.56/2.73 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), equalish-{F}(V1,V2), P_multiplicative_identity-{F}(V2) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1018: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16; #1006 ), references = 1, size of lhs = 10:
% 2.56/2.73 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V0,V2), P_add-{F}(V2,V1,V0), equalish-{F}(V1,V3), P_add-{F}(V3,V0,V4), P_multiplicative_identity-{F}(V4) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1041: mergings( V3 == V5, V4 == V6; #1038 ), references = 1, size of lhs = 9:
% 2.56/2.73 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_d-{F}(V4), equalish-{F}(V4,V5), P_multiply-{F}(V5,V0,V6), P_multiply-{F}(V3,V0,V6) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1045: mergings( V3 == V5, V4 == V6; #1042 ), references = 1, size of lhs = 7:
% 2.56/2.73 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_d-{F}(V4), equalish-{F}(V4,V3) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1056: mergings( V1 == V4, V4 == V6, V6 == V9, V2 == V5, V5 == V7, V7 == V10, V3 == V8; #1048 ), references = 2, size of lhs = 5:
% 2.56/2.73 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1062: mergings( V1 == V4, V2 == V5, V3 == V6; #1058 ), references = 1, size of lhs = 3:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1066: mergings( V1 == V3, V2 == V4; #1063 ), references = 1, size of lhs = 2:
% 2.56/2.73 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1069: mergings( V1 == V2; #1067 ), references = 1, size of lhs = 1:
% 2.56/2.73 P_additive_identity-{F}(V0) | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 #1071: exists( #33, #1067 ), references = 1, size of lhs = 0:
% 2.56/2.73 FALSE | FALSE
% 2.56/2.73 (used 0 times, uses = {})
% 2.56/2.73
% 2.56/2.73 number of learnt formulas = 43
% 2.56/2.73
% 2.56/2.73
% 2.56/2.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.73
% 2.56/2.73 randbase = 1
%------------------------------------------------------------------------------