TSTP Solution File: GRP775+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP775+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:04:33 EDT 2022
% Result : Theorem 1.60s 1.79s
% Output : Refutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP775+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 14:42:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.60/1.79 GeoParameters:
% 1.60/1.79
% 1.60/1.79 tptp_input = 1
% 1.60/1.79 tptp_output = 0
% 1.60/1.79 nonempty = 1
% 1.60/1.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.60/1.79
% 1.60/1.79
% 1.60/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.79
% 1.60/1.79 RuleSystem INPUT:
% 1.60/1.79
% 1.60/1.79 Initial Rules:
% 1.60/1.79 #0: input, references = 10, size of lhs = 5:
% 1.60/1.79 P_product-{F}(V2,V1,V3), P_product-{F}(V3,V0,V4), P_product-{F}(V1,V0,V5), P_product-{F}(V2,V5,V6), V4 == V6 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #1: input, references = 4, size of lhs = 2:
% 1.60/1.79 P_product-{F}(V0,V0,V1), V1 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #2: input, references = 11, size of lhs = 1:
% 1.60/1.79 l-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #3: input, references = 4, size of lhs = 1:
% 1.60/1.79 pppp0-{F}(V0,V1) | l-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #4: input, references = 4, size of lhs = 4:
% 1.60/1.79 P_product-{F}(V0,V1,V2), P_product-{F}(V1,V0,V3), pppp0-{F}(V0,V1), V2 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #5: input, references = 4, size of lhs = 4:
% 1.60/1.79 P_product-{F}(V0,V1,V2), P_product-{F}(V1,V0,V3), pppp0-{F}(V0,V1), V3 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #6: input, references = 4, size of lhs = 2:
% 1.60/1.79 P_product-{F}(V0,V1,V0), P_product-{F}(V1,V0,V1) | pppp0-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #7: input, references = 10, size of lhs = 1:
% 1.60/1.79 r-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #8: input, references = 4, size of lhs = 1:
% 1.60/1.79 pppp1-{F}(V0,V1) | r-{T}(V0,V1)
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #9: input, references = 4, size of lhs = 4:
% 1.60/1.79 P_product-{F}(V0,V1,V2), P_product-{F}(V1,V0,V3), pppp1-{F}(V0,V1), V2 == V1 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #10: input, references = 4, size of lhs = 4:
% 1.60/1.79 P_product-{F}(V0,V1,V2), P_product-{F}(V1,V0,V3), pppp1-{F}(V0,V1), V3 == V0 | FALSE
% 1.60/1.79 (used 0 times, uses = {})
% 1.60/1.79
% 1.60/1.79 #11: input, references = 4, size of lhs = 2:
% 1.60/1.79 P_product-{F}(V0,V1,V1), P_product-{F}(V1,V0,V0) | pppp1-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #12: input, references = 4, size of lhs = 1:
% 1.60/1.80 d-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #13: input, references = 4, size of lhs = 1:
% 1.60/1.80 pppp2-{F}(V0,V1) | d-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #14: input, references = 8, size of lhs = 1:
% 1.60/1.80 pppp2-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #15: input, references = 4, size of lhs = 2:
% 1.60/1.80 r-{F}(V0,V2), l-{F}(V2,V1) | pppp2-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #16: input, references = 11, size of lhs = 1:
% 1.60/1.80 pppp4-{F}(V0,V1,V2) | l-{T}(V2,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #17: input, references = 10, size of lhs = 1:
% 1.60/1.80 pppp4-{F}(V0,V1,V2) | r-{T}(V0,V2)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #18: input, references = 4, size of lhs = 0:
% 1.60/1.80 FALSE | EXISTS V0: pppp6-{T}(V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #19: input, references = 4, size of lhs = 1:
% 1.60/1.80 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #20: input, references = 5, size of lhs = 3:
% 1.60/1.80 pppp5-{F}(V0,V1), pppp3-{F}(V0,V1), d-{F}(V0,V1) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #21: input, references = 4, size of lhs = 1:
% 1.60/1.80 pppp5-{F}(V0,V1) | d-{T}(V0,V1), pppp3-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #22: input, references = 4, size of lhs = 6:
% 1.60/1.80 P_product-{F}(V1,V0,V2), P_product-{F}(V0,V2,V3), P_product-{F}(V0,V1,V4), P_product-{F}(V1,V4,V5), pppp3-{F}(V0,V1), V3 == V0 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #23: input, references = 5, size of lhs = 6:
% 1.60/1.80 P_product-{F}(V1,V0,V2), P_product-{F}(V0,V2,V3), P_product-{F}(V0,V1,V4), P_product-{F}(V1,V4,V5), pppp3-{F}(V0,V1), V5 == V1 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #24: input, references = 4, size of lhs = 4:
% 1.60/1.80 P_product-{F}(V1,V0,V2), P_product-{F}(V0,V2,V0), P_product-{F}(V0,V1,V4), P_product-{F}(V1,V4,V1) | pppp3-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #25: input, references = 19, size of lhs = 2:
% 1.60/1.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_product-{T}(V0,V1,V2)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 number of initial rules = 26
% 1.60/1.80
% 1.60/1.80 Simplifiers:
% 1.60/1.80 #26: unsound, references = 3, size of lhs = 3:
% 1.60/1.80 P_product-{F}(V0,V1,V2), P_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #27: unsound, references = 3, size of lhs = 3:
% 1.60/1.80 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #28: unsound, references = 3, size of lhs = 3:
% 1.60/1.80 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #29: unsound, references = 3, size of lhs = 3:
% 1.60/1.80 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #30: unsound, references = 3, size of lhs = 3:
% 1.60/1.80 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 number of simplifiers = 5
% 1.60/1.80
% 1.60/1.80 Learnt:
% 1.60/1.80 #32: exists( #25, #1 ), references = 7, size of lhs = 1:
% 1.60/1.80 #-{F} V0 | P_product-{T}(V0,V0,V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #36: exists( #25, #5 ), references = 2, size of lhs = 3:
% 1.60/1.80 pppp0-{F}(V0,V1), P_product-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #37: exists( #25, #9 ), references = 1, size of lhs = 3:
% 1.60/1.80 pppp1-{F}(V0,V1), P_product-{F}(V0,V1,V2), V2 == V1 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #39: mergings( V3 == V1; #33 ), references = 4, size of lhs = 2:
% 1.60/1.80 pppp0-{F}(V0,V1), P_product-{F}(V1,V0,V1) | P_product-{T}(V0,V1,V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #42: exists( #25, #34 ), references = 7, size of lhs = 1:
% 1.60/1.80 pppp0-{F}(V0,V1) | P_product-{T}(V1,V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #43: exists( #25, #35 ), references = 6, size of lhs = 1:
% 1.60/1.80 pppp1-{F}(V0,V1) | P_product-{T}(V0,V1,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #63: exists( #14, #57 ), references = 1, size of lhs = 1:
% 1.60/1.80 pppp2-{F}(V0,V0) | pppp4-{T}(V0,V0,V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #64: exists( #14, #59 ), references = 1, size of lhs = 2:
% 1.60/1.80 pppp2-{F}(V0,V1), P_product-{F}(V1,V0,V0) | pppp4-{T}(V0,V1,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #85: mergings( V0 == V4; #83 ), references = 1, size of lhs = 2:
% 1.60/1.80 pppp2-{F}(V0,V1), P_product-{F}(V2,V1,V0) | pppp4-{T}(V0,V1,V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #99: exists( #25, #0 ), references = 8, size of lhs = 3:
% 1.60/1.80 P_product-{F}(V0,V1,V2), P_product-{F}(V2,V3,V4), P_product-{F}(V1,V3,V5) | P_product-{T}(V0,V5,V4)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #109: mergings( V3 == V5; #107 ), references = 1, size of lhs = 3:
% 1.60/1.80 pppp2-{F}(V0,V1), P_product-{F}(V2,V0,V0), P_product-{F}(V3,V1,V2) | pppp4-{T}(V0,V1,V2)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #111: exists( #25, #0 ), references = 7, size of lhs = 3:
% 1.60/1.80 P_product-{F}(V0,V1,V2), P_product-{F}(V1,V3,V4), P_product-{F}(V0,V4,V5) | P_product-{T}(V2,V3,V5)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #117: exists( #25, #115 ), references = 2, size of lhs = 7:
% 1.60/1.80 P_product-{F}(V0,V1,V2), P_product-{F}(V2,V3,V4), P_product-{F}(V3,V5,V6), P_product-{F}(V1,V6,V7), P_product-{F}(V4,V5,V8), P_product-{F}(V4,V7,V9), V8 == V9 | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #119: exists( #25, #116 ), references = 1, size of lhs = 5:
% 1.60/1.80 P_product-{F}(V0,V1,V2), P_product-{F}(V2,V3,V4), P_product-{F}(V3,V5,V6), P_product-{F}(V1,V6,V7), P_product-{F}(V4,V5,V8) | P_product-{T}(V4,V7,V8)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #125: exists( #25, #123 ), references = 2, size of lhs = 6:
% 1.60/1.80 pppp5-{F}(V0,V1), d-{F}(V0,V1), P_product-{F}(V0,V1,V2), P_product-{F}(V1,V2,V1), P_product-{F}(V3,V0,V0), P_product-{F}(V4,V1,V3) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #139: mergings( V3 == V0; #137 ), references = 2, size of lhs = 2:
% 1.60/1.80 pppp1-{F}(V0,V1), P_product-{F}(V0,V1,V1) | P_product-{T}(V1,V0,V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #168: exists( #14, #163 ), references = 2, size of lhs = 5:
% 1.60/1.80 pppp2-{F}(V0,V1), pppp5-{F}(V0,V1), d-{F}(V0,V1), P_product-{F}(V0,V1,V2), P_product-{F}(V1,V2,V1) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #170: mergings( V1 == V4; #165 ), references = 1, size of lhs = 2:
% 1.60/1.80 pppp2-{F}(V0,V1), P_product-{F}(V0,V2,V1) | pppp4-{T}(V0,V1,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #187: exists( #14, #185 ), references = 1, size of lhs = 2:
% 1.60/1.80 pppp2-{F}(V0,V1), P_product-{F}(V0,V1,V2) | pppp4-{T}(V0,V1,V2)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #193: exists( #25, #191 ), references = 1, size of lhs = 3:
% 1.60/1.80 pppp2-{F}(V0,V1), pppp5-{F}(V0,V1), d-{F}(V0,V1) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #196: disj( #21, #12+#192 ), references = 1, size of lhs = 1:
% 1.60/1.80 pppp5-{F}(V0,V1) | pppp3-{T}(V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #218: mergings( V1 == V3; #216 ), references = 1, size of lhs = 3:
% 1.60/1.80 pppp3-{F}(V0,V1), P_product-{F}(V0,V1,V0), P_product-{F}(V0,V0,V2) | P_product-{T}(V1,V0,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #246: exists( #25, #244 ), references = 1, size of lhs = 7:
% 1.60/1.80 pppp3-{F}(V0,V1), P_product-{F}(V1,V0,V2), P_product-{F}(V0,V1,V3), P_product-{F}(V1,V3,V4), V4 == V1, P_product-{F}(V0,V5,V6), P_product-{F}(V5,V7,V2) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #252: mergings( V1 == V5; #250 ), references = 1, size of lhs = 8:
% 1.60/1.80 pppp3-{F}(V0,V1), P_product-{F}(V1,V0,V2), P_product-{F}(V0,V1,V3), P_product-{F}(V3,V3,V4), P_product-{F}(V1,V5,V6), P_product-{F}(V5,V7,V3), P_product-{F}(V6,V8,V2), P_product-{F}(V7,V9,V8) | P_product-{T}(V1,V3,V1)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #256: mergings( V7 == V4; #254 ), references = 1, size of lhs = 6:
% 1.60/1.80 pppp3-{F}(V0,V1), P_product-{F}(V1,V0,V2), P_product-{F}(V0,V1,V3), P_product-{F}(V1,V3,V1), P_product-{F}(V0,V4,V5), P_product-{F}(V4,V6,V2) | P_product-{T}(V5,V6,V0)
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #288: mergings( V4 == V3; #284 ), references = 1, size of lhs = 6:
% 1.60/1.80 pppp5-{F}(V0,V1), pppp3-{F}(V0,V1), P_product-{F}(V0,V1,V2), P_product-{F}(V2,V1,V2), P_product-{F}(V0,V2,V2), P_product-{F}(V2,V2,V3) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #303: exists( #25, #297 ), references = 1, size of lhs = 4:
% 1.60/1.80 P_product-{F}(V0,V0,V0), pppp5-{F}(V0,V1), pppp3-{F}(V0,V1), P_product-{F}(V1,V1,V1) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #313: exists( #19, #307 ), references = 1, size of lhs = 2:
% 1.60/1.80 pppp6-{F}(V0), P_product-{F}(V0,V0,V0) | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 #320: exists( #18, #314 ), references = 1, size of lhs = 0:
% 1.60/1.80 FALSE | FALSE
% 1.60/1.80 (used 0 times, uses = {})
% 1.60/1.80
% 1.60/1.80 number of learnt formulas = 29
% 1.60/1.80
% 1.60/1.80
% 1.60/1.80 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/1.80
% 1.60/1.80 randbase = 1
%------------------------------------------------------------------------------