TSTP Solution File: RNG024-7 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG024-7 : TPTP v8.1.0. Released v1.0.0.
% 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 06:14:55 EDT 2022
% Result : Unsatisfiable 151.64s 151.81s
% Output : Refutation 151.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG024-7 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 07:38:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 151.64/151.81 GeoParameters:
% 151.64/151.81
% 151.64/151.81 tptp_input = 1
% 151.64/151.81 tptp_output = 0
% 151.64/151.81 nonempty = 1
% 151.64/151.81 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.64/151.81 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 151.64/151.81
% 151.64/151.81
% 151.64/151.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.64/151.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.64/151.81
% 151.64/151.81 RuleSystem INPUT:
% 151.64/151.81
% 151.64/151.81 Initial Rules:
% 151.64/151.81 #0: input, references = 4, size of lhs = 3:
% 151.64/151.81 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #1: input, references = 4, size of lhs = 3:
% 151.64/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #2: input, references = 4, size of lhs = 3:
% 151.64/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #3: input, references = 4, size of lhs = 3:
% 151.64/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #4: input, references = 4, size of lhs = 4:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #5: input, references = 5, size of lhs = 4:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #6: input, references = 3, size of lhs = 4:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #7: input, references = 5, size of lhs = 7:
% 151.64/151.81 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
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #8: input, references = 5, size of lhs = 7:
% 151.64/151.81 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
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #9: input, references = 4, size of lhs = 4:
% 151.64/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #10: input, references = 5, size of lhs = 6:
% 151.64/151.81 P_additive_identity-{F}(V0), P_add-{F}(V2,V3,V4), P_add-{F}(V1,V4,V5), P_add-{F}(V1,V2,V6), P_add-{F}(V6,V3,V7), V5 == V7 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #11: input, references = 5, size of lhs = 6:
% 151.64/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V2,V5), P_multiply-{F}(V1,V5,V6), V4 == V6 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #12: input, references = 5, size of lhs = 6:
% 151.64/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V1,V5,V6), V4 == V6 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #13: input, references = 12, size of lhs = 9:
% 151.64/151.81 P_additive_identity-{F}(V0), P_associator-{F}(V1,V2,V3,V4), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V2,V3,V7), P_multiply-{F}(V1,V7,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V6,V9,V10), V4 == V10 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #14: input, references = 6, size of lhs = 7:
% 151.64/151.81 P_additive_identity-{F}(V0), P_commutator-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4), P_multiply-{F}(V1,V2,V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), V3 == V7 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #15: input, references = 4, size of lhs = 6:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V3), P_additive_inverse-{F}(V2,V4), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V2,V6), V5 == V6 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #16: input, references = 4, size of lhs = 6:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V2,V5), P_additive_inverse-{F}(V5,V6), V4 == V6 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #17: input, references = 3, size of lhs = 6:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V1,V2,V5), P_additive_inverse-{F}(V5,V6), V4 == V6 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #18: input, references = 4, size of lhs = 9:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6), P_multiply-{F}(V1,V2,V7), P_multiply-{F}(V1,V3,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V7,V9,V10), V6 == V10 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #19: input, references = 5, size of lhs = 9:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V2,V4), P_add-{F}(V1,V4,V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V1,V3,V7), P_multiply-{F}(V2,V3,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V7,V9,V10), V6 == V10 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #20: input, references = 3, size of lhs = 10:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V4), P_add-{F}(V2,V3,V5), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V1,V2,V7), P_additive_inverse-{F}(V7,V8), P_multiply-{F}(V1,V3,V9), P_additive_inverse-{F}(V9,V10), P_add-{F}(V8,V10,V11), V6 == V11 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #21: input, references = 3, size of lhs = 10:
% 151.64/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V4), P_additive_inverse-{F}(V3,V5), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V1,V3,V7), P_additive_inverse-{F}(V7,V8), P_multiply-{F}(V2,V3,V9), P_additive_inverse-{F}(V9,V10), P_add-{F}(V8,V10,V11), V6 == V11 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #22: input, references = 8, size of lhs = 4:
% 151.64/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_associator-{F}(V1,V2,V2,V0) | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #23: input, references = 7, size of lhs = 2:
% 151.64/151.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #24: input, references = 4, size of lhs = 0:
% 151.64/151.81 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #25: input, references = 26, size of lhs = 2:
% 151.64/151.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #26: input, references = 9, size of lhs = 1:
% 151.64/151.81 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #27: input, references = 10, size of lhs = 3:
% 151.64/151.81 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #28: input, references = 7, size of lhs = 2:
% 151.64/151.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #29: input, references = 4, size of lhs = 0:
% 151.64/151.81 FALSE | EXISTS V0: P_x-{T}(V0)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #30: input, references = 5, size of lhs = 0:
% 151.64/151.81 FALSE | EXISTS V0: P_y-{T}(V0)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 number of initial rules = 31
% 151.64/151.81
% 151.64/151.81 Simplifiers:
% 151.64/151.81 #31: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #32: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #33: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #34: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #35: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #36: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #37: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #38: unsound, references = 3, size of lhs = 3:
% 151.64/151.81 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 number of simplifiers = 8
% 151.64/151.81
% 151.64/151.81 Learnt:
% 151.64/151.81 #42: exists( #23, #1 ), references = 2, size of lhs = 2:
% 151.64/151.81 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 151.64/151.81 (used 0 times, uses = {})
% 151.64/151.81
% 151.64/151.81 #43: exists( #23, #14 ), references = 2, size of lhs = 5:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_commutator-{F}(V3,V4,V5), P_multiply-{F}(V4,V3,V6) | P_add-{T}(V6,V2,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #44: exists( #23, #13 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_associator-{F}(V3,V5,V7,V8), P_multiply-{F}(V6,V7,V9) | P_add-{T}(V9,V2,V8)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #46: exists( #26, #16 ), references = 10, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V3,V5) | P_additive_inverse-{T}(V5,V4)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #50: exists( #23, #0 ), references = 1, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #51: exists( #23, #9 ), references = 4, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #52: exists( #23, #10 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V4,V3,V5), P_add-{F}(V4,V1,V6) | P_add-{T}(V6,V2,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #56: mergings( V3 == V4; #54 ), references = 1, size of lhs = 5:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V2), P_multiply-{F}(V4,V5,V1), P_multiply-{F}(V5,V4,V3) | P_commutator-{T}(V4,V5,V0)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #60: exists( #25, #3 ), references = 2, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #65: exists( #25, #2 ), references = 4, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #67: exists( #27, #13 ), references = 5, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #77: mergings( V2 == V3, V3 == V4, V4 == V5; #73 ), references = 2, size of lhs = 9:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V2,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V3,V2,V6), P_add-{F}(V6,V0,V0), P_multiply-{F}(V7,V0,V5) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #80: exists( #23, #4 ), references = 7, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #81: exists( #23, #5 ), references = 1, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #83: exists( #27, #13 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #87: mergings( V2 == V3; #85 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V0,V0), P_multiply-{F}(V4,V0,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #91: mergings( V1 == V2; #89 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_x-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_multiply-{F}(V1,V0,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #93: exists( #28, #14 ), references = 1, size of lhs = 5:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V4,V3,V5), P_add-{F}(V5,V2,V6) | P_commutator-{T}(V3,V4,V6)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #95: exists( #27, #13 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #97: exists( #27, #13 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #101: exists( #25, #7 ), references = 1, size of lhs = 5:
% 151.66/151.81 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)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #102: exists( #25, #18 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V5,V1,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V6,V8,V9) | P_multiply-{T}(V5,V4,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #107: exists( #25, #8 ), references = 1, size of lhs = 5:
% 151.66/151.81 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)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #108: exists( #25, #19 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V1,V5,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V6,V8,V9) | P_multiply-{T}(V4,V5,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #116: mergings( V2 == V3, V3 == V4; #113 ), references = 1, size of lhs = 3:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #118: exists( #27, #13 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #123: exists( #25, #11 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V1,V5) | P_multiply-{T}(V3,V2,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #124: exists( #25, #12 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V3,V5) | P_multiply-{T}(V1,V5,V4)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #138: exists( #23, #8 ), references = 6, size of lhs = 5:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_add-{T}(V6,V7,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #139: exists( #23, #19 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V1,V5,V8), P_additive_inverse-{F}(V8,V9) | P_add-{T}(V7,V9,V6)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #142: exists( #25, #11 ), references = 6, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V3,V2,V5) | P_multiply-{T}(V4,V1,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #151: mergings( V3 == V4, V4 == V5, V5 == V6; #147 ), references = 1, size of lhs = 5:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V2) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #158: mergings( V3 == V4; #155 ), references = 3, size of lhs = 6:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V2,V3,V4), P_add-{F}(V3,V3,V5), P_multiply-{F}(V1,V5,V6), V6 == V4 | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #177: exists( #27, #13 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #180: exists( #25, #15 ), references = 3, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V3,V5) | P_multiply-{T}(V2,V4,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #192: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #186 ), references = 1, size of lhs = 8:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V2), P_additive_inverse-{F}(V2,V2), P_additive_inverse-{F}(V1,V3), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V2,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #201: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #194 ), references = 1, size of lhs = 6:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V2), P_additive_inverse-{F}(V2,V2), P_multiply-{F}(V0,V2,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #210: mergings( V3 == V4, V4 == V5, V5 == V6; #206 ), references = 1, size of lhs = 10:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V1), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V7,V5), P_multiply-{F}(V7,V3,V4), P_associator-{F}(V1,V7,V3,V8), V8 == V6 | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #215: mergings( V4 == V5, V5 == V6, V6 == V7; #211 ), references = 2, size of lhs = 8:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V1), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V7,V5), P_multiply-{F}(V7,V3,V4) | P_associator-{T}(V1,V7,V3,V6)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #225: mergings( V3 == V4, V4 == V5, V1 == V9; #221 ), references = 1, size of lhs = 8:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V1), P_add-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V4,V3,V1), P_multiply-{F}(V3,V3,V5), P_multiply-{F}(V2,V5,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #233: exists( #25, #158 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V2,V3,V4), P_add-{F}(V3,V3,V5) | P_multiply-{T}(V1,V5,V4)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #235: exists( #25, #158 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V2,V3,V5)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #286: mergings( V3 == V4; #284 ), references = 1, size of lhs = 6:
% 151.66/151.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V5,V5,V4), P_multiply-{F}(V5,V1,V6), P_multiply-{F}(V5,V6,V7) | P_multiply-{T}(V3,V2,V7)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #294: mergings( V3 == V4, V4 == V5, V6 == V8, V7 == V9; #289 ), references = 3, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V5), P_add-{F}(V4,V5,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #322: mergings( V3 == V4, V4 == V5, V5 == V6; #318 ), references = 1, size of lhs = 8:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V3), P_additive_inverse-{F}(V3,V3), P_additive_inverse-{F}(V1,V4), P_add-{F}(V4,V1,V5), P_multiply-{F}(V5,V3,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #329: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #324 ), references = 1, size of lhs = 6:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V3), P_additive_inverse-{F}(V3,V3), P_multiply-{F}(V0,V3,V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #337: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #332 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V2) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #353: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #348 ), references = 2, size of lhs = 12:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V2), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V5,V9), P_multiply-{F}(V7,V5,V10), P_multiply-{F}(V11,V12,V6), P_multiply-{F}(V12,V11,V10), P_commutator-{F}(V11,V12,V13), V13 == V9 | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #359: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #354 ), references = 1, size of lhs = 10:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V2), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V5,V9), P_multiply-{F}(V7,V5,V10), P_multiply-{F}(V11,V12,V6), P_multiply-{F}(V12,V11,V10) | P_commutator-{T}(V11,V12,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #362: exists( #28, #353 ), references = 1, size of lhs = 10:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V2), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V5,V9), P_multiply-{F}(V7,V5,V10), P_multiply-{F}(V11,V12,V6), P_multiply-{F}(V12,V11,V10) | P_commutator-{T}(V11,V12,V9)
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #382: mergings( V3 == V4, V4 == V5; #378 ), references = 1, size of lhs = 7:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V5,V6), P_multiply-{F}(V5,V7,V4) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #386: mergings( V3 == V4, V4 == V5, V5 == V6; #379 ), references = 1, size of lhs = 9:
% 151.66/151.81 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V6,V4), P_multiply-{F}(V7,V8,V5), P_associator-{F}(V7,V8,V6,V9), V9 == V0, P_multiply-{F}(V8,V6,V10), P_multiply-{F}(V7,V10,V4) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #392: mergings( V3 == V4, V4 == V5; #388 ), references = 1, size of lhs = 5:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V2,V3), P_additive_inverse-{F}(V1,V4) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #396: mergings( V2 == V3, V3 == V4; #393 ), references = 1, size of lhs = 4:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V1,V3) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #400: mergings( V2 == V3, V3 == V4; #397 ), references = 1, size of lhs = 3:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #404: mergings( V1 == V2, V2 == V3; #401 ), references = 1, size of lhs = 2:
% 151.66/151.81 P_additive_identity-{F}(V0), P_x-{F}(V1) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #408: mergings( V1 == V2, V2 == V3; #405 ), references = 1, size of lhs = 1:
% 151.66/151.81 P_additive_identity-{F}(V0) | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 #410: exists( #24, #405 ), references = 1, size of lhs = 0:
% 151.66/151.81 FALSE | FALSE
% 151.66/151.81 (used 0 times, uses = {})
% 151.66/151.81
% 151.66/151.81 number of learnt formulas = 58
% 151.66/151.81
% 151.66/151.81
% 151.66/151.81 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.66/151.81
% 151.66/151.81 randbase = 1
%------------------------------------------------------------------------------