TSTP Solution File: RNG015-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:14:53 EDT 2022
% Result : Unsatisfiable 8.48s 8.66s
% Output : Refutation 8.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 07:43:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.48/8.66 GeoParameters:
% 8.48/8.66
% 8.48/8.66 tptp_input = 1
% 8.48/8.66 tptp_output = 0
% 8.48/8.66 nonempty = 1
% 8.48/8.66 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.48/8.66 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.48/8.66
% 8.48/8.66
% 8.48/8.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.48/8.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.48/8.66
% 8.48/8.66 RuleSystem INPUT:
% 8.48/8.66
% 8.48/8.66 Initial Rules:
% 8.48/8.66 #0: input, references = 5, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #1: input, references = 4, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #2: input, references = 4, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #3: input, references = 4, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #4: input, references = 4, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #5: input, references = 4, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #6: input, references = 4, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #7: input, references = 6, size of lhs = 7:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #8: input, references = 5, size of lhs = 7:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #9: input, references = 4, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #10: input, references = 5, size of lhs = 6:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #11: input, references = 4, size of lhs = 6:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #12: input, references = 5, size of lhs = 6:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #13: input, references = 8, size of lhs = 9:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #14: input, references = 5, size of lhs = 7:
% 8.48/8.66 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
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #15: input, references = 8, size of lhs = 11:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V10), P_multiply-{F}(V1,V2,V7), P_multiply-{F}(V1,V3,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V7,V9,V10) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #16: input, references = 12, size of lhs = 2:
% 8.48/8.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #17: input, references = 4, size of lhs = 0:
% 8.48/8.66 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #18: input, references = 18, size of lhs = 2:
% 8.48/8.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #19: input, references = 12, size of lhs = 1:
% 8.48/8.66 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #20: input, references = 8, size of lhs = 3:
% 8.48/8.66 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #21: input, references = 5, size of lhs = 2:
% 8.48/8.66 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #22: input, references = 4, size of lhs = 0:
% 8.48/8.66 FALSE | EXISTS V0: P_x-{T}(V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #23: input, references = 5, size of lhs = 0:
% 8.48/8.66 FALSE | EXISTS V0: P_y-{T}(V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #24: input, references = 6, size of lhs = 0:
% 8.48/8.66 FALSE | EXISTS V0: P_z-{T}(V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 number of initial rules = 25
% 8.48/8.66
% 8.48/8.66 Simplifiers:
% 8.48/8.66 #25: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #26: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #27: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #28: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #29: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #30: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #31: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #32: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #33: unsound, references = 3, size of lhs = 3:
% 8.48/8.66 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 number of simplifiers = 9
% 8.48/8.66
% 8.48/8.66 Learnt:
% 8.48/8.66 #36: exists( #16, #4 ), references = 3, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #37: exists( #16, #5 ), references = 5, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #39: exists( #21, #14 ), references = 1, size of lhs = 5:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #41: exists( #16, #1 ), references = 3, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #49: mergings( V2 == V0; #45 ), references = 1, size of lhs = 1:
% 8.48/8.66 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #55: exists( #16, #0 ), references = 8, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #56: exists( #16, #9 ), references = 4, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #57: exists( #16, #10 ), references = 2, size of lhs = 4:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #61: exists( #18, #2 ), references = 6, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #62: exists( #18, #3 ), references = 2, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #63: exists( #18, #8 ), references = 1, size of lhs = 5:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #69: mergings( V2 == V3, V3 == V4; #66 ), references = 2, size of lhs = 8:
% 8.48/8.66 P_y-{F}(V0), P_x-{F}(V0), P_additive_identity-{F}(V0), P_z-{F}(V1), P_multiply-{F}(V0,V0,V2), P_multiply-{F}(V0,V1,V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #72: exists( #24, #70 ), references = 1, size of lhs = 6:
% 8.48/8.66 P_y-{F}(V0), P_x-{F}(V0), P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V1), P_additive_inverse-{F}(V0,V2), P_add-{F}(V1,V2,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #75: exists( #19, #6 ), references = 4, size of lhs = 2:
% 8.48/8.66 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_additive_inverse-{T}(V2,V1)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #81: mergings( V3 == V4; #79 ), references = 1, size of lhs = 9:
% 8.48/8.66 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V0,V1,V4), P_multiply-{F}(V0,V2,V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #84: mergings( V2 == V3; #82 ), references = 2, size of lhs = 8:
% 8.48/8.66 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_multiply-{F}(V0,V1,V3), P_multiply-{F}(V0,V2,V4), P_additive_inverse-{F}(V4,V5), P_add-{F}(V3,V5,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #87: exists( #24, #85 ), references = 1, size of lhs = 6:
% 8.48/8.66 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_inverse-{F}(V0,V3), P_add-{F}(V2,V3,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #90: exists( #23, #88 ), references = 1, size of lhs = 4:
% 8.48/8.66 P_x-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V0,V1,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #93: exists( #20, #13 ), references = 1, size of lhs = 7:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #97: mergings( V3 == V4; #95 ), references = 1, size of lhs = 8:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V2), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #104: mergings( V2 == V3; #102 ), references = 1, size of lhs = 5:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3), P_commutator-{F}(V2,V1,V4), V4 == V0 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #107: mergings( V3 == V4; #105 ), references = 1, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3) | P_commutator-{T}(V2,V1,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #109: exists( #18, #12 ), references = 2, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V2,V3,V5)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #113: exists( #18, #7 ), references = 2, size of lhs = 5:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #121: mergings( V2 == V3; #119 ), references = 2, size of lhs = 7:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_associator-{F}(V1,V2,V4,V6), V6 == V0, P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V1,V7,V5) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #126: mergings( V3 == V4, V4 == V5; #123 ), references = 1, size of lhs = 7:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V2), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V3,V4,V5), P_associator-{F}(V1,V3,V4,V6), V6 == V0 | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #130: mergings( V4 == V5, V5 == V6; #127 ), references = 1, size of lhs = 5:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V2), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V3,V4,V5) | P_associator-{T}(V1,V3,V4,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #137: mergings( V2 == V3, V3 == V4; #134 ), references = 6, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #152: exists( #16, #7 ), references = 6, size of lhs = 5:
% 8.48/8.66 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_add-{T}(V6,V7,V5)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #153: exists( #16, #8 ), references = 3, size of lhs = 5:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #161: mergings( V3 == V4, V4 == V5; #158 ), references = 3, size of lhs = 12:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_additive_inverse-{F}(V7,V8), P_multiply-{F}(V1,V9,V8), P_multiply-{F}(V1,V10,V6), P_add-{F}(V9,V10,V5) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #170: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #165 ), references = 1, size of lhs = 11:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V7,V6), P_add-{F}(V3,V7,V5), P_add-{F}(V1,V1,V8), P_multiply-{F}(V8,V3,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #178: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #172 ), references = 1, size of lhs = 8:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_multiply-{F}(V1,V2,V4), P_add-{F}(V1,V1,V5), P_multiply-{F}(V5,V3,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #189: exists( #18, #11 ), references = 1, size of lhs = 4:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #190: exists( #18, #12 ), references = 1, size of lhs = 4:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #196: mergings( V3 == V4; #194 ), references = 2, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #199: exists( #20, #121 ), references = 1, size of lhs = 5:
% 8.48/8.66 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V6,V5) | P_associator-{T}(V1,V2,V4,V0)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #200: exists( #20, #13 ), references = 1, size of lhs = 7:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #204: exists( #20, #13 ), references = 1, size of lhs = 7:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #207: mergings( V6 == V8; #205 ), references = 2, size of lhs = 9:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V5) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #212: mergings( V3 == V4; #210 ), references = 3, size of lhs = 9:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V6), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V1,V2,V7) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #224: mergings( V3 == V4, V4 == V5, V5 == V6; #220 ), references = 1, size of lhs = 10:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V2,V5), P_add-{F}(V1,V1,V6), P_multiply-{F}(V6,V3,V0), P_add-{F}(V3,V3,V7), P_add-{F}(V7,V4,V3) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #231: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #226 ), references = 1, size of lhs = 10:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V2,V5), P_add-{F}(V1,V1,V6), P_multiply-{F}(V6,V3,V0), P_add-{F}(V3,V4,V7), P_add-{F}(V3,V7,V3) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #239: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #233 ), references = 1, size of lhs = 8:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_add-{F}(V3,V0,V3), P_multiply-{F}(V1,V2,V4), P_add-{F}(V1,V1,V5), P_multiply-{F}(V5,V3,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #246: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #240 ), references = 1, size of lhs = 7:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_add-{F}(V3,V0,V3), P_add-{F}(V1,V1,V4), P_multiply-{F}(V4,V3,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #253: exists( #20, #13 ), references = 1, size of lhs = 7:
% 8.48/8.66 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)
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #277: mergings( V3 == V4, V4 == V5, V5 == V6; #271 ), references = 1, size of lhs = 10:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V1,V6,V5), P_add-{F}(V6,V3,V7), P_multiply-{F}(V1,V7,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #281: mergings( V3 == V4, V4 == V5, V5 == V6; #272 ), references = 2, size of lhs = 10:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V7,V5), P_add-{F}(V7,V3,V8), P_multiply-{F}(V1,V8,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #286: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #273 ), references = 1, size of lhs = 13:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V3), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V1,V6,V5), P_add-{F}(V6,V7,V3), P_multiply-{F}(V1,V7,V8), P_multiply-{F}(V1,V9,V8), P_add-{F}(V9,V3,V10), P_multiply-{F}(V1,V10,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #293: mergings( V3 == V4, V4 == V5, V5 == V6; #287 ), references = 1, size of lhs = 7:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #303: exists( #18, #281 ), references = 1, size of lhs = 8:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V2,V5), P_add-{F}(V4,V3,V6), P_multiply-{F}(V1,V6,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #307: mergings( V2 == V3; #305 ), references = 1, size of lhs = 6:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V1,V2,V4) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #310: mergings( V3 == V4; #308 ), references = 1, size of lhs = 5:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_z-{F}(V3) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #313: mergings( V1 == V2; #311 ), references = 1, size of lhs = 4:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #316: mergings( V1 == V2; #314 ), references = 2, size of lhs = 3:
% 8.48/8.66 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #319: exists( #22, #317 ), references = 1, size of lhs = 1:
% 8.48/8.66 P_additive_identity-{F}(V0) | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 #321: exists( #17, #318 ), references = 1, size of lhs = 0:
% 8.48/8.66 FALSE | FALSE
% 8.48/8.66 (used 0 times, uses = {})
% 8.48/8.66
% 8.48/8.66 number of learnt formulas = 57
% 8.48/8.66
% 8.48/8.66
% 8.48/8.66 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.48/8.66
% 8.48/8.66 randbase = 1
%------------------------------------------------------------------------------