TSTP Solution File: RNG001-5 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 06:14:50 EDT 2022
% Result : Unsatisfiable 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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 08:03:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.76 GeoParameters:
% 0.58/0.76
% 0.58/0.76 tptp_input = 1
% 0.58/0.76 tptp_output = 0
% 0.58/0.76 nonempty = 1
% 0.58/0.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.58/0.76
% 0.58/0.76
% 0.58/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76
% 0.58/0.76 RuleSystem INPUT:
% 0.58/0.76
% 0.58/0.76 Initial Rules:
% 0.58/0.76 #0: input, references = 5, size of lhs = 1:
% 0.58/0.76 #-{F} V0 | equalish-{T}(V0,V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #1: input, references = 4, size of lhs = 1:
% 0.58/0.76 equalish-{F}(V0,V1) | equalish-{T}(V1,V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #2: input, references = 3, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V0,V1), equalish-{F}(V2,V0) | equalish-{T}(V2,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #3: input, references = 3, size of lhs = 3:
% 0.58/0.76 P_additive_inverse-{F}(V0,V2), P_additive_inverse-{F}(V1,V3), equalish-{F}(V0,V1) | equalish-{T}(V2,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #4: input, references = 3, size of lhs = 3:
% 0.58/0.76 equalish-{F}(V0,V1), P_add-{F}(V0,V2,V3), P_add-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #5: input, references = 3, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V3,V0), sum-{F}(V3,V2,V1) | sum-{T}(V0,V2,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #6: input, references = 3, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V3,V0), sum-{F}(V2,V3,V1) | sum-{T}(V2,V0,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #7: input, references = 3, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V3,V0), sum-{F}(V2,V1,V3) | sum-{T}(V2,V1,V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #8: input, references = 3, size of lhs = 3:
% 0.58/0.76 equalish-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #9: input, references = 4, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V3,V0), product-{F}(V3,V2,V1) | product-{T}(V0,V2,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #10: input, references = 4, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V3,V0), product-{F}(V2,V3,V1) | product-{T}(V2,V0,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #11: input, references = 4, size of lhs = 2:
% 0.58/0.76 equalish-{F}(V3,V0), product-{F}(V2,V1,V3) | product-{T}(V2,V1,V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #12: input, references = 5, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #13: input, references = 3, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #14: input, references = 4, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #15: input, references = 3, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #16: input, references = 4, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #17: input, references = 3, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #18: input, references = 4, size of lhs = 4:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V3,V1,V2), sum-{F}(V5,V1,V4), sum-{F}(V6,V5,V3) | sum-{T}(V6,V4,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #19: input, references = 3, size of lhs = 4:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V5,V1,V4), sum-{F}(V6,V5,V3), sum-{F}(V6,V4,V2) | sum-{T}(V3,V1,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #20: input, references = 3, size of lhs = 2:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #21: input, references = 3, size of lhs = 4:
% 0.58/0.76 P_additive_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #22: input, references = 3, size of lhs = 4:
% 0.58/0.76 P_additive_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #23: input, references = 4, size of lhs = 5:
% 0.58/0.76 P_additive_identity-{F}(V0), product-{F}(V5,V4,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #24: input, references = 3, size of lhs = 5:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | product-{T}(V5,V4,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #25: input, references = 3, size of lhs = 5:
% 0.58/0.76 P_additive_identity-{F}(V0), product-{F}(V4,V5,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #26: input, references = 3, size of lhs = 5:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | product-{T}(V4,V5,V3)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #27: input, references = 4, size of lhs = 3:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #28: input, references = 3, size of lhs = 3:
% 0.58/0.76 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #29: input, references = 4, size of lhs = 3:
% 0.58/0.76 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V0) | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #30: input, references = 4, size of lhs = 1:
% 0.58/0.76 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #31: input, references = 3, size of lhs = 2:
% 0.58/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #32: input, references = 4, size of lhs = 2:
% 0.58/0.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #33: input, references = 4, size of lhs = 0:
% 0.58/0.76 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #34: input, references = 4, size of lhs = 0:
% 0.58/0.76 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 number of initial rules = 35
% 0.58/0.76
% 0.58/0.76 Simplifiers:
% 0.58/0.76 #35: unsound, references = 3, size of lhs = 3:
% 0.58/0.76 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #36: unsound, references = 3, size of lhs = 3:
% 0.58/0.76 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #37: unsound, references = 3, size of lhs = 3:
% 0.58/0.76 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #38: unsound, references = 3, size of lhs = 3:
% 0.58/0.76 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #39: unsound, references = 3, size of lhs = 3:
% 0.58/0.76 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 number of simplifiers = 5
% 0.58/0.76
% 0.58/0.76 Learnt:
% 0.58/0.76 #74: mergings( V2 == V3, V3 == V4; #71 ), references = 1, size of lhs = 6:
% 0.58/0.76 P_additive_identity-{F}(V0), equalish-{F}(V1,V0), P_a-{F}(V2), product-{F}(V2,V1,V3), sum-{F}(V0,V4,V3), sum-{F}(V5,V4,V5) | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #84: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #79 ), references = 2, size of lhs = 5:
% 0.58/0.76 P_additive_identity-{F}(V0), P_a-{F}(V1), equalish-{F}(V2,V1), sum-{F}(V3,V3,V3), equalish-{F}(V3,V0) | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #90: exists( #34, #88 ), references = 1, size of lhs = 3:
% 0.58/0.76 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), equalish-{F}(V1,V0) | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 #94: exists( #33, #92 ), references = 1, size of lhs = 0:
% 0.58/0.76 FALSE | FALSE
% 0.58/0.76 (used 0 times, uses = {})
% 0.58/0.76
% 0.58/0.76 number of learnt formulas = 4
% 0.58/0.76
% 0.58/0.76
% 0.58/0.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.76
% 0.58/0.76 randbase = 1
%------------------------------------------------------------------------------