TSTP Solution File: RNG010-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG010-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG010-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 07:41:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 GeoParameters:
% 0.18/0.44
% 0.18/0.44 tptp_input = 1
% 0.18/0.44 tptp_output = 0
% 0.18/0.44 nonempty = 1
% 0.18/0.44 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44
% 0.18/0.44 RuleSystem INPUT:
% 0.18/0.44
% 0.18/0.44 Initial Rules:
% 0.18/0.44 #0: input, references = 4, size of lhs = 3:
% 0.18/0.44 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #1: input, references = 3, size of lhs = 3:
% 0.18/0.44 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #2: input, references = 4, size of lhs = 3:
% 0.18/0.44 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #3: input, references = 4, size of lhs = 4:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #4: input, references = 4, size of lhs = 7:
% 0.18/0.44 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_additive_inverse-{F}(V3,V4), P_additive_inverse-{F}(V1,V5), P_additive_inverse-{F}(V2,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #5: input, references = 3, size of lhs = 4:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #6: input, references = 3, size of lhs = 7:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #7: input, references = 3, size of lhs = 7:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #8: input, references = 3, size of lhs = 6:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #9: input, references = 3, size of lhs = 6:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #10: input, references = 3, size of lhs = 6:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #11: input, references = 3, size of lhs = 6:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #12: input, references = 4, size of lhs = 3:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #13: input, references = 4, size of lhs = 5:
% 0.18/0.44 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
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #14: input, references = 4, size of lhs = 7:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V3,V4,V5), P_add-{F}(V2,V5,V6), P_add-{F}(V2,V3,V7), P_add-{F}(V7,V4,V8), V6 == V8 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #15: input, references = 3, size of lhs = 5:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V4,V6), P_add-{F}(V3,V4,V6), V2 == V3 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #16: input, references = 3, size of lhs = 5:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V4,V2,V6), P_add-{F}(V4,V3,V6), V2 == V3 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #17: input, references = 3, size of lhs = 10:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_associator-{F}(V2,V3,V4,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V3,V4,V8), P_multiply-{F}(V2,V8,V9), P_additive_inverse-{F}(V9,V10), P_add-{F}(V7,V10,V11), V5 == V11 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #18: input, references = 4, size of lhs = 6:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V4,V3,V7), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V3,V6,V7) | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #19: input, references = 3, size of lhs = 5:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_associator-{F}(V3,V2,V4,V7), P_associator-{F}(V2,V3,V4,V6), P_additive_inverse-{F}(V6,V7) | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #20: input, references = 3, size of lhs = 5:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_associator-{F}(V4,V3,V2,V7), P_associator-{F}(V2,V3,V4,V6), P_additive_inverse-{F}(V6,V7) | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #21: input, references = 3, size of lhs = 9:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V3,V2,V5), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V4,V6,V7), P_multiply-{F}(V4,V2,V8), P_multiply-{F}(V8,V3,V9), P_multiply-{F}(V9,V2,V10), V7 == V10 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #22: input, references = 3, size of lhs = 9:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V3,V2,V5), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V3,V8,V9), P_multiply-{F}(V2,V9,V10), V7 == V10 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #23: input, references = 3, size of lhs = 11:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_cx-{F}(V2), P_multiply-{F}(V2,V2,V3), P_cy-{F}(V4), P_cz-{F}(V5), P_associator-{F}(V3,V4,V5,V10), P_associator-{F}(V2,V4,V5,V7), P_multiply-{F}(V7,V2,V8), P_multiply-{F}(V2,V7,V9), P_add-{F}(V8,V9,V10) | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #24: input, references = 6, size of lhs = 2:
% 0.18/0.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #25: input, references = 4, size of lhs = 0:
% 0.18/0.44 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #26: input, references = 4, size of lhs = 2:
% 0.18/0.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #27: input, references = 4, size of lhs = 1:
% 0.18/0.44 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #28: input, references = 3, size of lhs = 3:
% 0.18/0.44 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #29: input, references = 3, size of lhs = 0:
% 0.18/0.44 FALSE | EXISTS V0: P_cx-{T}(V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #30: input, references = 3, size of lhs = 0:
% 0.18/0.44 FALSE | EXISTS V0: P_cy-{T}(V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #31: input, references = 3, size of lhs = 0:
% 0.18/0.44 FALSE | EXISTS V0: P_cz-{T}(V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 number of initial rules = 32
% 0.18/0.44
% 0.18/0.44 Simplifiers:
% 0.18/0.44 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_cx-{F}(V0), P_cx-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_cy-{F}(V0), P_cy-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.44 P_cz-{F}(V0), P_cz-{F}(V1), V0 == V1 | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 number of simplifiers = 8
% 0.18/0.44
% 0.18/0.44 Learnt:
% 0.18/0.44 #41: exists( #24, #3 ), references = 1, size of lhs = 2:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #44: exists( #27, #12 ), references = 1, size of lhs = 1:
% 0.18/0.44 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #45: exists( #27, #4 ), references = 1, size of lhs = 5:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V3,V4), P_additive_inverse-{F}(V3,V5), P_add-{F}(V2,V5,V6) | P_additive_inverse-{T}(V4,V6)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #48: exists( #24, #0 ), references = 1, size of lhs = 2:
% 0.18/0.44 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #49: exists( #24, #14 ), references = 1, size of lhs = 5:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_add-{F}(V5,V4,V6), P_add-{F}(V5,V2,V7) | P_add-{T}(V7,V3,V6)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #51: exists( #24, #13 ), references = 1, size of lhs = 3:
% 0.18/0.44 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4) | P_add-{T}(V3,V2,V4)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #53: exists( #26, #2 ), references = 2, size of lhs = 2:
% 0.18/0.44 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 #57: exists( #25, #55 ), references = 1, size of lhs = 0:
% 0.18/0.44 FALSE | FALSE
% 0.18/0.44 (used 0 times, uses = {})
% 0.18/0.44
% 0.18/0.44 number of learnt formulas = 8
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44
% 0.18/0.44 randbase = 1
%------------------------------------------------------------------------------