TSTP Solution File: RNG008-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG008-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:14:52 EDT 2022
% Result : Unsatisfiable 2.66s 2.83s
% Output : Refutation 2.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG008-4 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 07:39:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.66/2.83 GeoParameters:
% 2.66/2.83
% 2.66/2.83 tptp_input = 1
% 2.66/2.83 tptp_output = 0
% 2.66/2.83 nonempty = 1
% 2.66/2.83 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/2.83 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.66/2.83
% 2.66/2.83
% 2.66/2.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/2.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/2.83
% 2.66/2.83 RuleSystem INPUT:
% 2.66/2.83
% 2.66/2.83 Initial Rules:
% 2.66/2.83 #0: input, references = 4, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #1: input, references = 4, size of lhs = 4:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #2: input, references = 4, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #3: input, references = 5, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V1,V3,V6), P_multiply-{F}(V2,V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #4: input, references = 4, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), V1 == V0 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #5: input, references = 4, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_additive_inverse-{F}(V3,V4), V4 == V2 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #6: input, references = 5, size of lhs = 4:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), V3 == V0 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #7: input, references = 4, size of lhs = 4:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), V3 == V0 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #8: input, references = 4, size of lhs = 8:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_additive_inverse-{F}(V4,V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #9: input, references = 5, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), V5 == V7 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #10: input, references = 4, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), V5 == V7 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #11: input, references = 4, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V5), P_add-{F}(V5,V4,V6), P_add-{F}(V3,V4,V7), P_add-{F}(V2,V7,V8), V6 == V8 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #12: input, references = 4, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_add-{F}(V3,V2,V5), V4 == V5 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #13: input, references = 5, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V3,V4,V7), P_multiply-{F}(V2,V7,V8), V6 == V8 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #14: input, references = 4, size of lhs = 4:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V3), V3 == V2 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #15: input, references = 5, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), V4 == V5 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #16: input, references = 7, size of lhs = 7:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V2,V5) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #17: input, references = 10, size of lhs = 2:
% 2.66/2.83 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #18: input, references = 4, size of lhs = 0:
% 2.66/2.83 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #19: input, references = 6, size of lhs = 1:
% 2.66/2.83 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #20: input, references = 12, size of lhs = 2:
% 2.66/2.83 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #21: input, references = 4, size of lhs = 0:
% 2.66/2.83 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #22: input, references = 5, size of lhs = 0:
% 2.66/2.83 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #23: input, references = 6, size of lhs = 0:
% 2.66/2.83 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 number of initial rules = 24
% 2.66/2.83
% 2.66/2.83 Simplifiers:
% 2.66/2.83 #24: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #25: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #26: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #27: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #28: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #29: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #30: unsound, references = 3, size of lhs = 3:
% 2.66/2.83 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 number of simplifiers = 7
% 2.66/2.83
% 2.66/2.83 Learnt:
% 2.66/2.83 #32: exists( #17, #1 ), references = 6, size of lhs = 2:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #35: exists( #19, #4 ), references = 1, size of lhs = 1:
% 2.66/2.83 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #36: exists( #19, #8 ), references = 1, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_additive_inverse-{F}(V1,V3), P_additive_inverse-{F}(V2,V4), P_add-{F}(V3,V4,V5) | P_additive_inverse-{T}(V0,V5)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #38: exists( #20, #14 ), references = 10, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_multiply-{T}(V2,V2,V2)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #40: exists( #20, #7 ), references = 8, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_multiply-{T}(V0,V2,V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #43: exists( #20, #16 ), references = 3, size of lhs = 6:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V2,V4) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #45: exists( #20, #15 ), references = 3, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | P_multiply-{T}(V2,V3,V4)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #50: mergings( V1 == V4, V2 == V5; #47 ), references = 1, size of lhs = 4:
% 2.66/2.83 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V2) | P_c-{T}(V1)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #55: exists( #20, #6 ), references = 8, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_multiply-{T}(V2,V0,V0)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #56: exists( #20, #13 ), references = 6, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V3,V5,V7) | P_multiply-{T}(V2,V7,V6)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #58: exists( #23, #15 ), references = 2, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4) | P_c-{T}(V4)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #62: exists( #20, #3 ), references = 10, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_add-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #67: exists( #17, #12 ), references = 20, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4) | P_add-{T}(V3,V2,V4)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #68: exists( #17, #11 ), references = 11, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_add-{F}(V3,V5,V6), P_add-{F}(V2,V6,V7) | P_add-{T}(V4,V5,V7)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #72: mergings( V3 == V1; #70 ), references = 8, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_add-{T}(V2,V0,V2)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #89: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #82 ), references = 1, size of lhs = 3:
% 2.66/2.83 P_a-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #104: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #99 ), references = 8, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V5,V6) | P_multiply-{T}(V3,V2,V6)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #117: exists( #20, #2 ), references = 8, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_add-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #146: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16; #132 ), references = 3, size of lhs = 13:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V6,V5,V4), P_multiply-{F}(V3,V7,V6), P_multiply-{F}(V8,V3,V9), P_add-{F}(V8,V7,V10), P_add-{F}(V11,V10,V2), P_multiply-{F}(V11,V3,V12), P_add-{F}(V9,V12,V0) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #159: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16; #133 ), references = 2, size of lhs = 14:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V0,V6), P_add-{F}(V7,V6,V5), P_multiply-{F}(V3,V8,V7), P_multiply-{F}(V9,V3,V10), P_add-{F}(V9,V8,V11), P_add-{F}(V12,V11,V2), P_multiply-{F}(V12,V3,V13), P_add-{F}(V10,V13,V0) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #164: exists( #19, #5 ), references = 1, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3) | P_additive_inverse-{T}(V3,V2)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #187: exists( #20, #9 ), references = 1, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V4,V2,V5), P_additive_inverse-{F}(V5,V6) | P_multiply-{T}(V4,V3,V6)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #188: exists( #20, #10 ), references = 1, size of lhs = 5:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V2,V4,V5), P_additive_inverse-{F}(V5,V6) | P_multiply-{T}(V3,V4,V6)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #212: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #203 ), references = 6, size of lhs = 3:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2) | P_additive_inverse-{T}(V2,V2)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #223: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12; #205 ), references = 1, size of lhs = 4:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_multiply-{F}(V2,V3,V3) | P_additive_inverse-{T}(V3,V3)
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #262: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V16; #247 ), references = 1, size of lhs = 13:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V5,V2,V0), P_add-{F}(V6,V0,V4), P_multiply-{F}(V7,V2,V6), P_multiply-{F}(V2,V8,V9), P_add-{F}(V8,V7,V10), P_add-{F}(V11,V10,V3), P_multiply-{F}(V2,V11,V12), P_add-{F}(V9,V12,V5) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #275: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V16; #248 ), references = 1, size of lhs = 14:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V6,V2,V0), P_add-{F}(V7,V0,V5), P_multiply-{F}(V8,V2,V7), P_multiply-{F}(V2,V9,V10), P_add-{F}(V9,V8,V11), P_add-{F}(V12,V11,V3), P_multiply-{F}(V2,V12,V13), P_add-{F}(V10,V13,V6) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #292: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20; #249 ), references = 1, size of lhs = 20:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V6,V5,V4), P_add-{F}(V7,V0,V6), P_multiply-{F}(V8,V3,V9), P_add-{F}(V9,V10,V0), P_multiply-{F}(V11,V3,V10), P_add-{F}(V8,V11,V12), P_add-{F}(V13,V12,V2), P_multiply-{F}(V13,V13,V14), P_multiply-{F}(V13,V8,V15), P_add-{F}(V14,V15,V16), P_multiply-{F}(V16,V13,V0), P_multiply-{F}(V17,V13,V7), P_add-{F}(V13,V17,V18), P_add-{F}(V8,V18,V3) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #358: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V26, V26 == V27, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V28; #332 ), references = 1, size of lhs = 21:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V0,V6,V0), P_add-{F}(V7,V5,V4), P_add-{F}(V8,V3,V2), P_add-{F}(V9,V0,V7), P_multiply-{F}(V10,V10,V9), P_multiply-{F}(V11,V6,V10), P_multiply-{F}(V12,V11,V0), P_multiply-{F}(V13,V3,V14), P_add-{F}(V13,V15,V8), P_multiply-{F}(V15,V3,V16), P_multiply-{F}(V11,V14,V17), P_multiply-{F}(V11,V16,V18), P_add-{F}(V17,V18,V12), P_add-{F}(V14,V10,V19), P_add-{F}(V16,V19,V3) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #383: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V26, V26 == V27, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V28; #333 ), references = 1, size of lhs = 22:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V0,V6), P_multiply-{F}(V0,V7,V0), P_add-{F}(V8,V6,V5), P_add-{F}(V9,V3,V2), P_add-{F}(V10,V0,V8), P_multiply-{F}(V11,V11,V10), P_multiply-{F}(V12,V7,V11), P_multiply-{F}(V13,V12,V0), P_multiply-{F}(V14,V3,V15), P_add-{F}(V14,V16,V9), P_multiply-{F}(V16,V3,V17), P_multiply-{F}(V12,V15,V18), P_multiply-{F}(V12,V17,V19), P_add-{F}(V18,V19,V13), P_add-{F}(V15,V11,V20), P_add-{F}(V17,V20,V3) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #418: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V31, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V32; #388 ), references = 1, size of lhs = 21:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V0,V6,V0), P_add-{F}(V7,V5,V4), P_add-{F}(V8,V0,V7), P_multiply-{F}(V9,V9,V8), P_multiply-{F}(V10,V6,V9), P_multiply-{F}(V11,V10,V0), P_add-{F}(V12,V3,V13), P_add-{F}(V14,V13,V2), P_multiply-{F}(V14,V3,V15), P_multiply-{F}(V12,V3,V16), P_multiply-{F}(V10,V15,V17), P_multiply-{F}(V10,V16,V18), P_add-{F}(V17,V18,V11), P_add-{F}(V15,V9,V19), P_add-{F}(V16,V19,V3) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #447: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V31, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V32; #389 ), references = 1, size of lhs = 22:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V0,V6), P_multiply-{F}(V0,V7,V0), P_add-{F}(V8,V6,V5), P_add-{F}(V9,V0,V8), P_multiply-{F}(V10,V10,V9), P_multiply-{F}(V11,V7,V10), P_multiply-{F}(V12,V11,V0), P_add-{F}(V13,V3,V14), P_add-{F}(V15,V14,V2), P_multiply-{F}(V15,V3,V16), P_multiply-{F}(V13,V3,V17), P_multiply-{F}(V11,V16,V18), P_multiply-{F}(V11,V17,V19), P_add-{F}(V18,V19,V12), P_add-{F}(V16,V10,V20), P_add-{F}(V17,V20,V3) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #502: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V37, V37 == V38, V38 == V39, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V40; #462 ), references = 2, size of lhs = 11:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V0,V2,V0), P_multiply-{F}(V2,V2,V2), P_b-{F}(V3), P_add-{F}(V3,V0,V3), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V4,V3,V3), P_add-{F}(V4,V3,V5), P_add-{F}(V2,V5,V2) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #542: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V39, V39 == V40, V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V41, V7 == V42; #463 ), references = 1, size of lhs = 11:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V2,V2,V2), P_multiply-{F}(V0,V2,V0), P_b-{F}(V3), P_add-{F}(V3,V0,V3), P_multiply-{F}(V3,V0,V0), P_multiply-{F}(V4,V3,V3), P_add-{F}(V4,V3,V5), P_add-{F}(V2,V5,V2) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #562: mergings( V1 == V3, V3 == V5, V5 == V6, V2 == V4, V4 == V7, V7 == V8, V8 == V9; #553 ), references = 1, size of lhs = 6:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V0,V2,V0), P_multiply-{F}(V2,V2,V2), P_add-{F}(V2,V0,V2) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #585: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13; #572 ), references = 1, size of lhs = 2:
% 2.66/2.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 #590: exists( #18, #586 ), references = 1, size of lhs = 0:
% 2.66/2.83 FALSE | FALSE
% 2.66/2.83 (used 0 times, uses = {})
% 2.66/2.83
% 2.66/2.83 number of learnt formulas = 37
% 2.66/2.83
% 2.66/2.83
% 2.66/2.83 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/2.83
% 2.66/2.83 randbase = 1
%------------------------------------------------------------------------------