TSTP Solution File: GRP656-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:04:21 EDT 2022
% Result : Unsatisfiable 1.38s 1.58s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% 0.05/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jul 22 13:53:46 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.38/1.58 GeoParameters:
% 1.38/1.58
% 1.38/1.58 tptp_input = 1
% 1.38/1.58 tptp_output = 0
% 1.38/1.58 nonempty = 1
% 1.38/1.58 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.58 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.38/1.58
% 1.38/1.58
% 1.38/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.58
% 1.38/1.58 RuleSystem INPUT:
% 1.38/1.58
% 1.38/1.58 Initial Rules:
% 1.38/1.58 #0: input, references = 4, size of lhs = 3:
% 1.38/1.58 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #1: input, references = 7, size of lhs = 3:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #2: input, references = 4, size of lhs = 3:
% 1.38/1.58 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #3: input, references = 6, size of lhs = 3:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #4: input, references = 6, size of lhs = 7:
% 1.38/1.58 P_mult-{F}(V0,V1,V3), P_mult-{F}(V2,V0,V4), P_mult-{F}(V3,V4,V5), P_mult-{F}(V1,V2,V6), P_mult-{F}(V0,V6,V7), P_mult-{F}(V7,V0,V8), V5 == V8 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #5: input, references = 4, size of lhs = 6:
% 1.38/1.58 P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V2), P_x1_2-{F}(V0,V3), P_mult-{F}(V3,V0,V4), P_tuple-{F}(V2,V4,V6), P_tuple-{F}(V1,V3,V6) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #6: input, references = 15, size of lhs = 2:
% 1.38/1.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #7: input, references = 7, size of lhs = 2:
% 1.38/1.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #8: input, references = 7, size of lhs = 2:
% 1.38/1.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #9: input, references = 4, size of lhs = 2:
% 1.38/1.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_tuple-{T}(V0,V1,V2)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #10: input, references = 4, size of lhs = 1:
% 1.38/1.58 #-{F} V0 | EXISTS V1: P_x1-{T}(V0,V1)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #11: input, references = 4, size of lhs = 1:
% 1.38/1.58 #-{F} V0 | EXISTS V1: P_x1_2-{T}(V0,V1)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 number of initial rules = 12
% 1.38/1.58
% 1.38/1.58 Simplifiers:
% 1.38/1.58 #12: unsound, references = 3, size of lhs = 3:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #13: unsound, references = 3, size of lhs = 3:
% 1.38/1.58 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #14: unsound, references = 3, size of lhs = 3:
% 1.38/1.58 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #15: unsound, references = 3, size of lhs = 3:
% 1.38/1.58 P_tuple-{F}(V0,V1,V2), P_tuple-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #16: unsound, references = 3, size of lhs = 3:
% 1.38/1.58 P_x1-{F}(V0,V1), P_x1-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #17: unsound, references = 3, size of lhs = 3:
% 1.38/1.58 P_x1_2-{F}(V0,V1), P_x1_2-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 number of simplifiers = 6
% 1.38/1.58
% 1.38/1.58 Learnt:
% 1.38/1.58 #19: exists( #6, #0 ), references = 5, size of lhs = 1:
% 1.38/1.58 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #21: exists( #7, #1 ), references = 3, size of lhs = 1:
% 1.38/1.58 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #23: exists( #6, #4 ), references = 4, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V0,V5,V6), P_mult-{F}(V6,V0,V7) | P_mult-{T}(V2,V4,V7)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #25: exists( #6, #2 ), references = 11, size of lhs = 1:
% 1.38/1.58 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #27: exists( #8, #3 ), references = 8, size of lhs = 1:
% 1.38/1.58 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #29: exists( #9, #5 ), references = 2, size of lhs = 4:
% 1.38/1.58 P_x1-{F}(V0,V1), P_mult-{F}(V0,V1,V1), P_x1_2-{F}(V0,V2), P_mult-{F}(V2,V0,V2) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #56: exists( #6, #4 ), references = 4, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V3,V6), P_mult-{F}(V0,V6,V7) | P_mult-{T}(V7,V0,V5)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #66: exists( #8, #62 ), references = 1, size of lhs = 7:
% 1.38/1.58 P_rd-{F}(V0,V1,V2), P_mult-{F}(V3,V2,V4), P_mult-{F}(V1,V3,V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V3,V0,V7), P_rd-{F}(V6,V3,V8), V8 == V7 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #70: exists( #6, #68 ), references = 2, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V2), P_mult-{F}(V1,V2,V3), P_mult-{F}(V0,V3,V2) | P_mult-{T}(V2,V0,V2)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #76: exists( #6, #74 ), references = 3, size of lhs = 7:
% 1.38/1.58 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V3,V0), P_mult-{F}(V4,V2,V5), P_mult-{F}(V3,V4,V6), P_mult-{F}(V5,V6,V7), P_mult-{F}(V1,V4,V8), V4 == V8 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #135: exists( #6, #131 ), references = 5, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_mult-{F}(V3,V0,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V5,V1,V6), P_rd-{F}(V6,V2,V7) | P_mult-{T}(V1,V3,V7)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #190: exists( #8, #188 ), references = 6, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V1,V2), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V1,V5), P_rd-{F}(V5,V2,V6), P_ld-{F}(V1,V6,V7) | P_rd-{T}(V3,V0,V7)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #199: mergings( V0 == V6; #197 ), references = 1, size of lhs = 6:
% 1.38/1.58 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V0,V3), V0 == V3, P_mult-{F}(V4,V2,V4), P_mult-{F}(V4,V1,V5), P_rd-{F}(V5,V1,V4) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #203: mergings( V4 == V5; #201 ), references = 2, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V0,V3), V0 == V3, P_mult-{F}(V4,V2,V4), P_mult-{F}(V4,V1,V5) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #235: mergings( V0 == V4; #231 ), references = 1, size of lhs = 7:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V0,V2,V4), P_ld-{F}(V0,V4,V5), V5 == V4 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #240: mergings( V3 == V4, V0 == V5, V7 == V8; #233 ), references = 1, size of lhs = 6:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_rd-{F}(V3,V1,V2), P_mult-{F}(V0,V2,V4), V4 == V2 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #248: mergings( V4 == V5; #244 ), references = 1, size of lhs = 6:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V2,V4), P_ld-{F}(V0,V4,V5), V5 == V4 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #252: mergings( V3 == V4, V5 == V6, V9 == V10; #246 ), references = 1, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V2,V1,V3), P_mult-{F}(V0,V2,V4), V4 == V2 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #256: exists( #6, #244 ), references = 1, size of lhs = 5:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V3), P_ld-{F}(V0,V3,V4), V4 == V3 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #259: mergings( V3 == V4, V5 == V6; #255 ), references = 1, size of lhs = 4:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V3), V3 == V2 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #265: exists( #6, #260 ), references = 2, size of lhs = 3:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), #-{F} V2 | P_mult-{T}(V0,V2,V2)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #269: exists( #11, #267 ), references = 2, size of lhs = 4:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_x1-{F}(V0,V2), P_mult-{F}(V0,V2,V2) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #272: exists( #10, #270 ), references = 2, size of lhs = 3:
% 1.38/1.58 P_mult-{F}(V0,V0,V0), P_mult-{F}(V0,V1,V1), P_mult-{F}(V0,V2,V2) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #297: exists( #8, #291 ), references = 1, size of lhs = 6:
% 1.38/1.58 P_mult-{F}(V0,V1,V0), P_mult-{F}(V0,V2,V3), P_ld-{F}(V2,V4,V1), P_rd-{F}(V5,V2,V4), P_mult-{F}(V6,V2,V5), P_mult-{F}(V2,V7,V6) | P_rd-{T}(V2,V2,V7)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #298: exists( #8, #293 ), references = 1, size of lhs = 7:
% 1.38/1.58 P_mult-{F}(V0,V1,V0), P_mult-{F}(V2,V1,V0), P_ld-{F}(V2,V3,V1), P_mult-{F}(V2,V4,V5), P_mult-{F}(V5,V2,V6), P_rd-{F}(V6,V7,V3), P_mult-{F}(V7,V4,V8) | P_rd-{T}(V7,V2,V4)
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #305: mergings( V2 == V3; #303 ), references = 1, size of lhs = 2:
% 1.38/1.58 P_rd-{F}(V0,V1,V1), P_mult-{F}(V1,V1,V0) | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 #308: exists( #6, #306 ), references = 1, size of lhs = 1:
% 1.38/1.58 #-{F} V0 | FALSE
% 1.38/1.58 (used 0 times, uses = {})
% 1.38/1.58
% 1.38/1.58 number of learnt formulas = 27
% 1.38/1.58
% 1.38/1.58
% 1.38/1.58 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.58
% 1.38/1.58 randbase = 1
%------------------------------------------------------------------------------