TSTP Solution File: FLD039-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD039-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:01:09 EDT 2022
% Result : Unsatisfiable 0.19s 0.35s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD039-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 10:14:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.35 GeoParameters:
% 0.19/0.35
% 0.19/0.35 tptp_input = 1
% 0.19/0.35 tptp_output = 0
% 0.19/0.35 nonempty = 1
% 0.19/0.35 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.35
% 0.19/0.35
% 0.19/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35
% 0.19/0.35 RuleSystem INPUT:
% 0.19/0.35
% 0.19/0.35 Initial Rules:
% 0.19/0.35 #0: input, references = 3, size of lhs = 7:
% 0.19/0.35 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #1: input, references = 3, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #2: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #3: input, references = 3, size of lhs = 5:
% 0.19/0.35 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #4: input, references = 3, size of lhs = 8:
% 0.19/0.35 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #5: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #6: input, references = 3, size of lhs = 5:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #7: input, references = 3, size of lhs = 6:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #8: input, references = 3, size of lhs = 10:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #9: input, references = 3, size of lhs = 5:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #10: input, references = 3, size of lhs = 2:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #11: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #12: input, references = 3, size of lhs = 5:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #13: input, references = 3, size of lhs = 2:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #14: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #15: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #16: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #17: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #18: input, references = 3, size of lhs = 6:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #19: input, references = 3, size of lhs = 5:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #20: input, references = 3, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #21: input, references = 4, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #22: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #23: input, references = 3, size of lhs = 6:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #24: input, references = 3, size of lhs = 6:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #25: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #26: input, references = 4, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #27: input, references = 3, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #28: input, references = 3, size of lhs = 4:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #29: input, references = 4, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | equalish-{T}(V1,V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #30: input, references = 3, size of lhs = 2:
% 0.19/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #31: input, references = 4, size of lhs = 0:
% 0.19/0.35 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #32: input, references = 3, size of lhs = 1:
% 0.19/0.35 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #33: input, references = 3, size of lhs = 2:
% 0.19/0.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #34: input, references = 4, size of lhs = 0:
% 0.19/0.35 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #35: input, references = 3, size of lhs = 1:
% 0.19/0.35 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #36: input, references = 4, size of lhs = 0:
% 0.19/0.35 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 number of initial rules = 37
% 0.19/0.35
% 0.19/0.35 Simplifiers:
% 0.19/0.35 #37: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #38: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #39: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.35 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 number of simplifiers = 7
% 0.19/0.35
% 0.19/0.35 Learnt:
% 0.19/0.35 #52: mergings( V1 == V3, V2 == V4; #49 ), references = 1, size of lhs = 2:
% 0.19/0.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #55: mergings( V1 == V2; #53 ), references = 1, size of lhs = 1:
% 0.19/0.35 P_additive_identity-{F}(V0) | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 #57: exists( #31, #53 ), references = 1, size of lhs = 0:
% 0.19/0.35 FALSE | FALSE
% 0.19/0.35 (used 0 times, uses = {})
% 0.19/0.35
% 0.19/0.35 number of learnt formulas = 3
% 0.19/0.35
% 0.19/0.35
% 0.19/0.35 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35
% 0.19/0.35 randbase = 1
%------------------------------------------------------------------------------