TSTP Solution File: RNG013-6 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG013-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 92.75s 92.99s
% Output : Refutation 92.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG013-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 07:39:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 92.75/92.99 GeoParameters:
% 92.75/92.99
% 92.75/92.99 tptp_input = 1
% 92.75/92.99 tptp_output = 0
% 92.75/92.99 nonempty = 1
% 92.75/92.99 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.75/92.99 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 92.75/92.99
% 92.75/92.99
% 92.75/92.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.75/92.99 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.75/92.99
% 92.75/92.99 RuleSystem INPUT:
% 92.75/92.99
% 92.75/92.99 Initial Rules:
% 92.75/92.99 #0: input, references = 5, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #1: input, references = 4, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #2: input, references = 4, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #3: input, references = 4, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #4: input, references = 6, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #5: input, references = 6, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #6: input, references = 4, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #7: input, references = 5, size of lhs = 7:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #8: input, references = 6, size of lhs = 7:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #9: input, references = 4, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #10: input, references = 9, size of lhs = 6:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #11: input, references = 5, size of lhs = 6:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #12: input, references = 6, size of lhs = 6:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #13: input, references = 7, size of lhs = 9:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #14: input, references = 6, size of lhs = 7:
% 92.75/92.99 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
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #15: input, references = 10, size of lhs = 7:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V6) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #16: input, references = 10, size of lhs = 2:
% 92.75/92.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #17: input, references = 4, size of lhs = 0:
% 92.75/92.99 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #18: input, references = 25, size of lhs = 2:
% 92.75/92.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #19: input, references = 10, size of lhs = 1:
% 92.75/92.99 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #20: input, references = 6, size of lhs = 3:
% 92.75/92.99 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #21: input, references = 8, size of lhs = 2:
% 92.75/92.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #22: input, references = 4, size of lhs = 0:
% 92.75/92.99 FALSE | EXISTS V0: P_a-{T}(V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #23: input, references = 5, size of lhs = 0:
% 92.75/92.99 FALSE | EXISTS V0: P_b-{T}(V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 number of initial rules = 24
% 92.75/92.99
% 92.75/92.99 Simplifiers:
% 92.75/92.99 #24: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #25: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #26: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #27: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #28: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #29: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #30: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #31: unsound, references = 3, size of lhs = 3:
% 92.75/92.99 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 number of simplifiers = 8
% 92.75/92.99
% 92.75/92.99 Learnt:
% 92.75/92.99 #35: exists( #16, #1 ), references = 10, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #36: exists( #16, #14 ), references = 6, size of lhs = 5:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #37: exists( #16, #13 ), references = 1, size of lhs = 7:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #46: mergings( V0 == V2; #42 ), references = 1, size of lhs = 1:
% 92.75/92.99 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #48: mergings( V2 == V3; #43 ), references = 1, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3), P_commutator-{F}(V2,V1,V4) | P_additive_inverse-{T}(V3,V4)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #50: exists( #21, #14 ), references = 1, size of lhs = 5:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #52: exists( #18, #3 ), references = 1, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #56: exists( #16, #0 ), references = 8, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #57: exists( #16, #9 ), references = 10, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #58: exists( #16, #10 ), references = 9, size of lhs = 4:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #61: exists( #18, #2 ), references = 3, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #62: exists( #18, #8 ), references = 3, size of lhs = 5:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #66: mergings( V1 == V2; #64 ), references = 1, size of lhs = 3:
% 92.75/92.99 P_a-{F}(V0), P_additive_inverse-{F}(V0,V0), P_additive_identity-{F}(V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #68: exists( #20, #13 ), references = 1, size of lhs = 7:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #72: mergings( V2 == V3; #70 ), references = 1, size of lhs = 5:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3), P_commutator-{F}(V1,V2,V4), V4 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #75: mergings( V3 == V4; #73 ), references = 5, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3) | P_commutator-{T}(V1,V2,V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #86: exists( #16, #7 ), references = 9, size of lhs = 5:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #87: exists( #16, #8 ), references = 8, size of lhs = 5:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #93: mergings( V2 == V3, V3 == V4; #90 ), references = 8, size of lhs = 6:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V2), P_multiply-{F}(V4,V3,V5), P_commutator-{F}(V4,V3,V6), P_add-{F}(V1,V6,V7) | P_additive_inverse-{T}(V5,V7)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #105: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #98 ), references = 1, size of lhs = 6:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V1), P_b-{F}(V1), P_add-{F}(V1,V1,V2), P_multiply-{F}(V1,V2,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #108: exists( #16, #4 ), references = 5, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #109: exists( #16, #5 ), references = 2, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #112: exists( #20, #13 ), references = 1, size of lhs = 7:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #118: exists( #19, #6 ), references = 2, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_additive_inverse-{T}(V2,V1)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #136: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #129 ), references = 2, size of lhs = 16:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V6,V4), P_commutator-{F}(V5,V6,V0), P_multiply-{F}(V6,V5,V7), P_multiply-{F}(V8,V3,V7), P_add-{F}(V9,V8,V2), P_multiply-{F}(V9,V3,V10), P_multiply-{F}(V11,V12,V7), P_multiply-{F}(V11,V13,V0), P_add-{F}(V12,V14,V13), P_add-{F}(V14,V14,V15), P_multiply-{F}(V11,V15,V10) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #145: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #138 ), references = 1, size of lhs = 8:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V3,V1), P_add-{F}(V1,V3,V4), P_multiply-{F}(V1,V4,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #158: mergings( V3 == V4, V4 == V5; #155 ), references = 5, size of lhs = 6:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V4,V6), P_multiply-{F}(V3,V6,V7), P_add-{F}(V7,V2,V8) | P_multiply-{T}(V3,V5,V8)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #160: exists( #20, #13 ), references = 1, size of lhs = 7:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #163: exists( #18, #12 ), references = 1, size of lhs = 4:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #172: mergings( V3 == V4; #170 ), references = 1, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V2,V5) | P_multiply-{T}(V3,V2,V5)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #181: mergings( V3 == V4, V4 == V5; #178 ), references = 4, size of lhs = 6:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V3,V6), P_multiply-{F}(V6,V4,V7), P_add-{F}(V7,V2,V8) | P_multiply-{T}(V5,V4,V8)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #204: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #198 ), references = 2, size of lhs = 14:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V3,V0), P_add-{F}(V2,V6,V5), P_multiply-{F}(V6,V3,V7), P_multiply-{F}(V8,V9,V4), P_multiply-{F}(V9,V8,V7), P_commutator-{F}(V8,V9,V0), P_multiply-{F}(V10,V11,V7), P_multiply-{F}(V10,V12,V0), P_add-{F}(V13,V11,V12) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #212: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #206 ), references = 1, size of lhs = 8:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), P_multiply-{F}(V3,V1,V0), P_multiply-{F}(V1,V4,V0), P_add-{F}(V5,V1,V4) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #221: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #214 ), references = 1, size of lhs = 5:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), P_multiply-{F}(V0,V1,V0), P_multiply-{F}(V1,V0,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #231: mergings( V3 == V4, V4 == V5, V5 == V6; #227 ), references = 4, size of lhs = 9:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V0), P_add-{F}(V2,V2,V3), P_add-{F}(V2,V4,V5), P_multiply-{F}(V6,V4,V1), P_multiply-{F}(V6,V3,V7), P_add-{F}(V6,V6,V8), P_multiply-{F}(V8,V5,V9), V7 == V9 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #236: mergings( V3 == V4, V4 == V5, V5 == V6; #232 ), references = 1, size of lhs = 7:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V0), P_add-{F}(V2,V2,V3), P_add-{F}(V2,V4,V5), P_multiply-{F}(V6,V4,V1), P_add-{F}(V6,V6,V7), P_multiply-{F}(V7,V5,V8) | P_multiply-{T}(V6,V3,V8)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #257: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #248 ), references = 1, size of lhs = 19:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_add-{F}(V3,V3,V1), P_add-{F}(V2,V1,V4), P_multiply-{F}(V4,V3,V0), P_add-{F}(V1,V1,V5), P_multiply-{F}(V5,V3,V0), P_add-{F}(V6,V6,V1), P_add-{F}(V7,V0,V0), P_multiply-{F}(V3,V8,V7), P_add-{F}(V6,V8,V9), P_add-{F}(V9,V3,V10), P_multiply-{F}(V1,V10,V0), P_multiply-{F}(V11,V1,V0), P_add-{F}(V12,V3,V11), P_multiply-{F}(V12,V13,V0), P_add-{F}(V14,V1,V13) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #265: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #249 ), references = 1, size of lhs = 19:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_add-{F}(V3,V3,V1), P_add-{F}(V4,V1,V2), P_multiply-{F}(V4,V3,V5), P_add-{F}(V6,V6,V1), P_add-{F}(V1,V1,V7), P_multiply-{F}(V7,V3,V0), P_add-{F}(V8,V0,V0), P_multiply-{F}(V3,V9,V8), P_add-{F}(V6,V9,V10), P_add-{F}(V10,V3,V11), P_multiply-{F}(V1,V11,V0), P_multiply-{F}(V3,V12,V0), P_add-{F}(V1,V13,V12), P_add-{F}(V13,V13,V14), P_multiply-{F}(V3,V14,V5) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #324: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #317 ), references = 1, size of lhs = 15:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V7), P_add-{F}(V6,V7,V8), P_add-{F}(V1,V8,V9), P_add-{F}(V6,V10,V0), P_multiply-{F}(V11,V12,V10), P_commutator-{F}(V12,V11,V1), P_multiply-{F}(V12,V11,V13), P_multiply-{F}(V14,V15,V13), P_multiply-{F}(V15,V14,V7), P_commutator-{F}(V14,V15,V16), V16 == V9 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #332: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #325 ), references = 1, size of lhs = 15:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V7), P_add-{F}(V6,V7,V8), P_add-{F}(V1,V8,V9), P_add-{F}(V6,V10,V0), P_multiply-{F}(V11,V12,V10), P_commutator-{F}(V12,V11,V1), P_multiply-{F}(V12,V11,V13), P_multiply-{F}(V14,V15,V13), P_multiply-{F}(V15,V14,V7), P_commutator-{F}(V14,V15,V16), V16 == V9 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #340: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #333 ), references = 1, size of lhs = 13:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V5,V3,V6), P_add-{F}(V6,V2,V7), P_add-{F}(V6,V7,V8), P_add-{F}(V1,V8,V9), P_add-{F}(V6,V10,V0), P_multiply-{F}(V11,V12,V10), P_commutator-{F}(V12,V11,V1), P_multiply-{F}(V12,V11,V13), P_multiply-{F}(V14,V15,V13), P_multiply-{F}(V15,V14,V7) | P_commutator-{T}(V14,V15,V9)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #368: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #361 ), references = 1, size of lhs = 12:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V4,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V9,V2), P_commutator-{F}(V9,V8,V7), P_multiply-{F}(V9,V8,V10), P_multiply-{F}(V3,V11,V10), P_add-{F}(V6,V11,V12), P_multiply-{F}(V3,V12,V13), V13 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #374: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #362 ), references = 1, size of lhs = 12:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V4,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V9,V2), P_commutator-{F}(V9,V8,V7), P_multiply-{F}(V9,V8,V10), P_multiply-{F}(V3,V11,V10), P_add-{F}(V6,V11,V12), P_multiply-{F}(V3,V12,V13), V13 == V0 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #386: mergings( V2 == V3, V3 == V4; #383 ), references = 3, size of lhs = 3:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #395: mergings( V3 == V4, V4 == V5; #392 ), references = 1, size of lhs = 6:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V1), P_b-{F}(V2), P_add-{F}(V1,V1,V3), P_multiply-{F}(V3,V2,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #402: exists( #18, #231 ), references = 1, size of lhs = 7:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V0), P_add-{F}(V2,V2,V3), P_add-{F}(V2,V4,V5), P_multiply-{F}(V6,V4,V1), P_multiply-{F}(V6,V3,V7), P_add-{F}(V6,V6,V8) | P_multiply-{T}(V8,V5,V7)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #418: exists( #18, #231 ), references = 1, size of lhs = 7:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V0), P_add-{F}(V2,V2,V3), P_add-{F}(V2,V4,V5), P_multiply-{F}(V6,V4,V1), P_multiply-{F}(V6,V3,V7), P_add-{F}(V6,V6,V8) | P_multiply-{T}(V8,V5,V7)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #434: mergings( V3 == V4, V4 == V5; #431 ), references = 1, size of lhs = 10:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_multiply-{F}(V1,V2,V3), P_add-{F}(V3,V4,V0), P_add-{F}(V5,V2,V6), P_add-{F}(V7,V6,V8), P_multiply-{F}(V1,V8,V9), P_add-{F}(V9,V4,V10), P_multiply-{F}(V1,V10,V11), V10 == V11 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #451: exists( #18, #11 ), references = 1, size of lhs = 4:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #452: exists( #18, #12 ), references = 1, size of lhs = 4:
% 92.75/92.99 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)
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #482: mergings( V3 == V4; #480 ), references = 1, size of lhs = 7:
% 92.75/92.99 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V1), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V4,V1,V5), P_add-{F}(V3,V5,V6), P_multiply-{F}(V6,V1,V7), V7 == V6 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #533: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #525 ), references = 1, size of lhs = 15:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V3,V4), P_add-{F}(V2,V5,V6), P_multiply-{F}(V6,V3,V0), P_multiply-{F}(V7,V8,V4), P_multiply-{F}(V8,V7,V9), P_commutator-{F}(V7,V8,V10), P_add-{F}(V11,V9,V0), P_additive_inverse-{F}(V12,V11), P_multiply-{F}(V13,V14,V12), P_multiply-{F}(V14,V13,V10) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #541: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #527 ), references = 1, size of lhs = 18:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V0), P_multiply-{F}(V2,V3,V1), P_add-{F}(V2,V2,V4), P_add-{F}(V5,V0,V6), P_multiply-{F}(V2,V6,V7), P_additive_inverse-{F}(V8,V9), P_add-{F}(V9,V5,V10), P_add-{F}(V9,V11,V0), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V13,V12,V14), P_add-{F}(V14,V10,V15), P_add-{F}(V15,V3,V16), P_multiply-{F}(V4,V16,V17), V7 == V17, P_multiply-{F}(V18,V19,V15), P_multiply-{F}(V19,V18,V11), P_commutator-{F}(V18,V19,V14) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #553: mergings( V3 == V4; #551 ), references = 1, size of lhs = 7:
% 92.75/92.99 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V1), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V3,V6), P_multiply-{F}(V6,V4,V7), P_add-{F}(V7,V2,V8), V7 == V8 | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #588: mergings( V3 == V4, V4 == V5, V5 == V6; #584 ), references = 1, size of lhs = 9:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_multiply-{F}(V1,V3,V4), P_add-{F}(V0,V5,V4), P_multiply-{F}(V6,V3,V5), P_add-{F}(V2,V6,V7), P_multiply-{F}(V7,V3,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #594: mergings( V3 == V4, V4 == V5, V5 == V6; #590 ), references = 1, size of lhs = 6:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V2), P_b-{F}(V3), P_add-{F}(V2,V1,V4), P_multiply-{F}(V4,V3,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #601: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #596 ), references = 1, size of lhs = 4:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V0,V2,V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #607: mergings( V1 == V2, V2 == V3, V3 == V4; #603 ), references = 1, size of lhs = 2:
% 92.75/92.99 P_additive_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #612: mergings( V1 == V2, V2 == V3, V3 == V4; #608 ), references = 1, size of lhs = 1:
% 92.75/92.99 P_additive_identity-{F}(V0) | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 #614: exists( #17, #608 ), references = 1, size of lhs = 0:
% 92.75/92.99 FALSE | FALSE
% 92.75/92.99 (used 0 times, uses = {})
% 92.75/92.99
% 92.75/92.99 number of learnt formulas = 60
% 92.75/92.99
% 92.75/92.99
% 92.75/92.99 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 92.75/92.99
% 92.75/92.99 randbase = 1
%------------------------------------------------------------------------------