TSTP Solution File: FLD021-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:01:05 EDT 2022
% Result : Unsatisfiable 2.23s 2.44s
% Output : Refutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD021-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 10:06:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.23/2.44 GeoParameters:
% 2.23/2.44
% 2.23/2.44 tptp_input = 1
% 2.23/2.44 tptp_output = 0
% 2.23/2.44 nonempty = 1
% 2.23/2.44 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/2.44 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/2.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/2.44
% 2.23/2.44 RuleSystem INPUT:
% 2.23/2.44
% 2.23/2.44 Initial Rules:
% 2.23/2.44 #0: input, references = 4, size of lhs = 7:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #1: input, references = 16, size of lhs = 3:
% 2.23/2.44 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #2: input, references = 12, size of lhs = 4:
% 2.23/2.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #3: input, references = 4, size of lhs = 5:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #4: input, references = 3, size of lhs = 8:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #5: input, references = 6, size of lhs = 4:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #6: input, references = 4, size of lhs = 5:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #7: input, references = 6, size of lhs = 6:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #8: input, references = 6, size of lhs = 10:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #9: input, references = 3, size of lhs = 5:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #10: input, references = 3, size of lhs = 2:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #11: input, references = 3, size of lhs = 4:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #12: input, references = 3, size of lhs = 5:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #13: input, references = 3, size of lhs = 2:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #14: input, references = 3, size of lhs = 4:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #15: input, references = 8, size of lhs = 4:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #16: input, references = 7, size of lhs = 4:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #17: input, references = 8, size of lhs = 4:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #18: input, references = 13, size of lhs = 6:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #19: input, references = 3, size of lhs = 5:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #20: input, references = 3, size of lhs = 3:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #21: input, references = 21, size of lhs = 3:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #22: input, references = 23, size of lhs = 4:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #23: input, references = 6, size of lhs = 6:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #24: input, references = 4, size of lhs = 6:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #25: input, references = 19, size of lhs = 4:
% 2.23/2.44 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)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #26: input, references = 10, size of lhs = 3:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #27: input, references = 4, size of lhs = 3:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #28: input, references = 3, size of lhs = 4:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_m-{F}(V3) | defined-{T}(V3)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #29: input, references = 4, size of lhs = 4:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_m-{F}(V3) | equalish-{T}(V3,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #30: input, references = 5, size of lhs = 6:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_m-{F}(V3), P_add-{F}(V3,V2,V4), equalish-{F}(V4,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #31: input, references = 18, size of lhs = 2:
% 2.23/2.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #32: input, references = 4, size of lhs = 0:
% 2.23/2.44 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #33: input, references = 3, size of lhs = 1:
% 2.23/2.44 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #34: input, references = 7, size of lhs = 2:
% 2.23/2.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #35: input, references = 4, size of lhs = 0:
% 2.23/2.44 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #36: input, references = 3, size of lhs = 1:
% 2.23/2.44 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #37: input, references = 4, size of lhs = 0:
% 2.23/2.44 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #38: input, references = 4, size of lhs = 0:
% 2.23/2.44 FALSE | EXISTS V0: P_m-{T}(V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 number of initial rules = 39
% 2.23/2.44
% 2.23/2.44 Simplifiers:
% 2.23/2.44 #39: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #40: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #41: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #42: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #43: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #44: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #45: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #46: unsound, references = 3, size of lhs = 3:
% 2.23/2.44 P_m-{F}(V0), P_m-{F}(V1), V0 == V1 | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 number of simplifiers = 8
% 2.23/2.44
% 2.23/2.44 Learnt:
% 2.23/2.44 #65: mergings( V0 == V3; #63 ), references = 1, size of lhs = 5:
% 2.23/2.44 P_m-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #88: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #78 ), references = 2, size of lhs = 5:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #108: mergings( V0 == V6, V6 == V7, V1 == V8; #103 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V3,V2,V4), P_additive_identity-{F}(V4) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #130: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12; #119 ), references = 1, size of lhs = 6:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V0), P_additive_identity-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #162: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #150 ), references = 5, size of lhs = 6:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #175: mergings( V3 == V5, V5 == V8, V6 == V7; #171 ), references = 1, size of lhs = 9:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V5), P_add-{F}(V5,V3,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #180: mergings( V3 == V4, V4 == V6, V5 == V1; #176 ), references = 5, size of lhs = 6:
% 2.23/2.44 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #232: mergings( V3 == V10, V10 == V12, V12 == V14, V4 == V9, V9 == V11, V11 == V13; #223 ), references = 1, size of lhs = 11:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #239: mergings( V3 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V10, V10 == V12; #224 ), references = 1, size of lhs = 12:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V0), P_additive_identity-{F}(V6) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #246: mergings( V3 == V10, V10 == V12, V12 == V15, V4 == V11, V11 == V13, V13 == V14; #225 ), references = 1, size of lhs = 14:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), defined-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V6), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #300: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #286 ), references = 1, size of lhs = 6:
% 2.23/2.44 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
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #318: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13; #287 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), P_add-{F}(V0,V1,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #377: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #361 ), references = 2, size of lhs = 7:
% 2.23/2.44 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
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #398: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15; #362 ), references = 2, size of lhs = 9:
% 2.23/2.44 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #418: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #402 ), references = 2, size of lhs = 7:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #439: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16; #404 ), references = 2, size of lhs = 9:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #457: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #440 ), references = 1, size of lhs = 5:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_multiplicative_identity-{F}(V1) | less_or_equal-{T}(V0,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #472: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16; #442 ), references = 1, size of lhs = 7:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | less_or_equal-{T}(V0,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #502: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V1; #490 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), less_or_equal-{F}(V1,V0), equalish-{F}(V1,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #533: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V1; #523 ), references = 2, size of lhs = 7:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,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,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #541: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V1; #524 ), references = 3, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V0,V0,V2), equalish-{F}(V2,V1), less_or_equal-{F}(V1,V3), P_add-{F}(V3,V0,V4), less_or_equal-{F}(V4,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #549: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #525 ), references = 2, size of lhs = 10:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2), P_add-{F}(V0,V0,V3), equalish-{F}(V3,V1), less_or_equal-{F}(V1,V4), P_add-{F}(V4,V0,V5), less_or_equal-{F}(V5,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #566: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V0; #559 ), references = 1, size of lhs = 6:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), less_or_equal-{F}(V1,V0) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #571: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #561 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), less_or_equal-{F}(V1,V0), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #577: mergings( V3 == V4, V4 == V6, V6 == V8, V1 == V5, V5 == V7; #560 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V2,V0) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #587: mergings( V0 == V2, V2 == V3, V3 == V5, V1 == V4, V4 == V6, V6 == V7; #578 ), references = 1, size of lhs = 6:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V1) | less_or_equal-{T}(V0,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #594: mergings( V0 == V2, V2 == V3, V3 == V5, V1 == V4, V4 == V6, V6 == V8; #579 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), less_or_equal-{F}(V0,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | less_or_equal-{T}(V0,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #602: mergings( V0 == V2, V2 == V3, V3 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #580 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), less_or_equal-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_inverse-{F}(V2,V2), P_multiplicative_identity-{F}(V2) | less_or_equal-{T}(V0,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #636: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #625 ), references = 1, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V1), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #654: mergings( V0 == V2, V1 == V4; #651 ), references = 1, size of lhs = 9:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V2,V2,V3), equalish-{F}(V3,V0), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V2,V1) | less_or_equal-{T}(V0,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #672: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V2, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17, V16 == V18; #659 ), references = 1, size of lhs = 15:
% 2.23/2.44 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V2), equalish-{F}(V0,V3), defined-{F}(V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V4,V5,V3), P_add-{F}(V5,V5,V6), equalish-{F}(V6,V2), P_add-{F}(V0,V1,V7), equalish-{F}(V7,V2), P_add-{F}(V2,V1,V8), P_add-{F}(V8,V5,V4) | less_or_equal-{T}(V2,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #704: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17; #693 ), references = 1, size of lhs = 11:
% 2.23/2.44 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), equalish-{F}(V0,V3), P_multiply-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), P_multiplicative_identity-{F}(V6) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #716: mergings( V1 == V5; #713 ), references = 2, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V5), P_add-{F}(V5,V3,V0) | equalish-{T}(V2,V3)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #718: mergings( V1 == V5; #714 ), references = 1, size of lhs = 7:
% 2.23/2.44 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiplicative_inverse-{F}(V1,V2), P_multiply-{F}(V1,V2,V3), P_additive_identity-{F}(V4) | equalish-{T}(V3,V0)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #749: mergings( V3 == V1, V1 == V5, V5 == V7, V7 == V9, V0 == V4, V4 == V8, V8 == V10, V10 == V11; #739 ), references = 1, size of lhs = 9:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V2), P_multiplicative_inverse-{F}(V2,V0), P_add-{F}(V1,V2,V2), P_multiplicative_identity-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V2,V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #763: mergings( V0 == V2, V2 == V4, V1 == V5, V5 == V7; #758 ), references = 1, size of lhs = 9:
% 2.23/2.44 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), equalish-{F}(V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V1)
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #822: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #817 ), references = 2, size of lhs = 8:
% 2.23/2.44 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_m-{F}(V3), equalish-{F}(V3,V4), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V0) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #836: mergings( V0 == V3; #834 ), references = 1, size of lhs = 6:
% 2.23/2.44 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_m-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #842: mergings( V3 == V5, V1 == V6, V2 == V4; #838 ), references = 2, size of lhs = 4:
% 2.23/2.44 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #847: mergings( V1 == V3, V2 == V4; #844 ), references = 1, size of lhs = 2:
% 2.23/2.44 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #850: mergings( V1 == V2; #848 ), references = 1, size of lhs = 1:
% 2.23/2.44 P_additive_identity-{F}(V0) | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 #852: exists( #32, #848 ), references = 1, size of lhs = 0:
% 2.23/2.44 FALSE | FALSE
% 2.23/2.44 (used 0 times, uses = {})
% 2.23/2.44
% 2.23/2.44 number of learnt formulas = 42
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/2.44
% 2.23/2.44 randbase = 1
%------------------------------------------------------------------------------