TSTP Solution File: GRP001+6 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:02:56 EDT 2022
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Fri Jul 22 14:02:55 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.61/0.81 GeoParameters:
% 0.61/0.81
% 0.61/0.81 tptp_input = 1
% 0.61/0.81 tptp_output = 0
% 0.61/0.81 nonempty = 1
% 0.61/0.81 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.81 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.61/0.81
% 0.61/0.81
% 0.61/0.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.81
% 0.61/0.81 RuleSystem INPUT:
% 0.61/0.81
% 0.61/0.81 Initial Rules:
% 0.61/0.81 #0: input, references = 4, size of lhs = 0:
% 0.61/0.81 FALSE | pppp6-{T}()
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #1: input, references = 4, size of lhs = 1:
% 0.61/0.81 pppp6-{F}() | EXISTS V0: pppp5-{T}(V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #2: input, references = 4, size of lhs = 1:
% 0.61/0.81 pppp6-{F}() | EXISTS V0: pppp3-{T}(V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #3: input, references = 7, size of lhs = 4:
% 0.61/0.81 pppp6-{F}(), product-{F}(V4,V0,V3), product-{F}(V5,V4,V1), product-{F}(V5,V3,V2) | product-{T}(V1,V0,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #4: input, references = 6, size of lhs = 4:
% 0.61/0.81 pppp6-{F}(), product-{F}(V1,V0,V2), product-{F}(V4,V0,V3), product-{F}(V5,V4,V1) | product-{T}(V5,V3,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #5: input, references = 3, size of lhs = 3:
% 0.61/0.81 pppp6-{F}(), #-{F} V0, #-{F} V1 | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #6: input, references = 4, size of lhs = 1:
% 0.61/0.81 pppp5-{F}(V0) | pppp4-{T}(V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #7: input, references = 7, size of lhs = 2:
% 0.61/0.81 pppp4-{F}(V0), #-{F} V1 | product-{T}(V1,V1,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #8: input, references = 3, size of lhs = 2:
% 0.61/0.81 pppp4-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #9: input, references = 3, size of lhs = 2:
% 0.61/0.81 pppp4-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V1,V2,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #10: input, references = 5, size of lhs = 2:
% 0.61/0.81 pppp4-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #11: input, references = 6, size of lhs = 2:
% 0.61/0.81 pppp4-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #12: input, references = 6, size of lhs = 1:
% 0.61/0.81 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #13: input, references = 5, size of lhs = 1:
% 0.61/0.81 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #14: input, references = 4, size of lhs = 2:
% 0.61/0.81 pppp1-{F}(V0,V1,V2), product-{F}(V1,V0,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #15: input, references = 5, size of lhs = 1:
% 0.61/0.81 pppp1-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #16: input, references = 3, size of lhs = 1:
% 0.61/0.81 pppp0-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #17: input, references = 3, size of lhs = 1:
% 0.61/0.81 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 number of initial rules = 18
% 0.61/0.81
% 0.61/0.81 Simplifiers:
% 0.61/0.81 #18: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #19: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #20: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #21: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #22: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #23: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #24: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #25: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #26: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #27: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 number of simplifiers = 10
% 0.61/0.81
% 0.61/0.81 Learnt:
% 0.61/0.81 #31: exists( #13, #29 ), references = 4, size of lhs = 4:
% 0.61/0.81 pppp6-{F}(), pppp2-{F}(V0,V1), product-{F}(V2,V0,V1), product-{F}(V0,V2,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #35: exists( #12, #33 ), references = 1, size of lhs = 3:
% 0.61/0.81 pppp6-{F}(), pppp3-{F}(V0), pppp4-{F}(V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #42: exists( #12, #40 ), references = 1, size of lhs = 5:
% 0.61/0.81 pppp6-{F}(), pppp3-{F}(V0), pppp4-{F}(V1), product-{F}(V1,V1,V0), product-{F}(V1,V0,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #86: mergings( V0 == V6, V1 == V5; #83 ), references = 1, size of lhs = 8:
% 0.61/0.81 pppp6-{F}(), pppp4-{F}(V0), product-{F}(V0,V1,V2), product-{F}(V2,V1,V3), product-{F}(V4,V3,V4), pppp2-{F}(V4,V2), product-{F}(V4,V4,V5), product-{F}(V5,V2,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #91: mergings( V2 == V3; #89 ), references = 1, size of lhs = 5:
% 0.61/0.81 pppp6-{F}(), pppp3-{F}(V0), pppp4-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V0,V0,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #96: mergings( V1 == V2; #94 ), references = 1, size of lhs = 2:
% 0.61/0.81 pppp6-{F}(), pppp4-{F}(V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #99: exists( #1, #97 ), references = 1, size of lhs = 1:
% 0.61/0.81 pppp6-{F}() | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #101: #0+#98, references = 1, size of lhs = 0:
% 0.61/0.81 FALSE | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 number of learnt formulas = 8
% 0.61/0.81
% 0.61/0.81
% 0.61/0.81 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.81
% 0.61/0.81 randbase = 1
%------------------------------------------------------------------------------