TSTP Solution File: GRP012-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:02:57 EDT 2022
% Result : Unsatisfiable 0.67s 0.85s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 14:37:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/0.85 GeoParameters:
% 0.67/0.85
% 0.67/0.85 tptp_input = 1
% 0.67/0.85 tptp_output = 0
% 0.67/0.85 nonempty = 1
% 0.67/0.85 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.85 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.67/0.85
% 0.67/0.85
% 0.67/0.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.85 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.85
% 0.67/0.85 RuleSystem INPUT:
% 0.67/0.85
% 0.67/0.85 Initial Rules:
% 0.67/0.85 #0: input, references = 9, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #1: input, references = 8, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #2: input, references = 10, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #3: input, references = 9, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V1,V2,V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #4: input, references = 5, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #5: input, references = 11, size of lhs = 4:
% 0.67/0.85 P_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #6: input, references = 9, size of lhs = 4:
% 0.67/0.85 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #7: input, references = 6, size of lhs = 4:
% 0.67/0.85 P_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #8: input, references = 5, size of lhs = 4:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | product-{T}(V1,V2,V3)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #9: input, references = 7, size of lhs = 7:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_inverse-{F}(V2,V4), P_inverse-{F}(V1,V5), P_d-{F}(V6) | product-{T}(V4,V5,V6)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #10: input, references = 7, size of lhs = 8:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_inverse-{F}(V2,V4), P_inverse-{F}(V1,V5), P_d-{F}(V6), P_inverse-{F}(V3,V6) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #11: input, references = 4, size of lhs = 0:
% 0.67/0.85 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #12: input, references = 15, size of lhs = 1:
% 0.67/0.85 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #13: input, references = 5, size of lhs = 2:
% 0.67/0.85 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #14: input, references = 4, size of lhs = 0:
% 0.67/0.85 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #15: input, references = 5, size of lhs = 0:
% 0.67/0.85 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #16: input, references = 5, size of lhs = 0:
% 0.67/0.85 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #17: input, references = 5, size of lhs = 0:
% 0.67/0.85 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 number of initial rules = 18
% 0.67/0.85
% 0.67/0.85 Simplifiers:
% 0.67/0.85 #18: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #19: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #20: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #21: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #22: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #23: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #24: unsound, references = 3, size of lhs = 3:
% 0.67/0.85 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 number of simplifiers = 7
% 0.67/0.85
% 0.67/0.85 Learnt:
% 0.67/0.85 #26: exists( #12, #10 ), references = 4, size of lhs = 7:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_inverse-{F}(V2,V4), P_d-{F}(V5), P_inverse-{F}(V3,V5) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #35: mergings( V0 == V2, V2 == V3; #32 ), references = 1, size of lhs = 1:
% 0.67/0.85 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #39: mergings( V1 == V7; #37 ), references = 3, size of lhs = 7:
% 0.67/0.85 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V0,V4), P_identity-{F}(V5), product-{F}(V3,V4,V6) | P_d-{T}(V6)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #45: mergings( V1 == V4; #43 ), references = 2, size of lhs = 4:
% 0.67/0.85 P_a-{F}(V0), P_b-{F}(V1), P_identity-{F}(V2), product-{F}(V0,V1,V3) | P_c-{T}(V3)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #54: mergings( V3 == V4; #52 ), references = 1, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #73: mergings( V2 == V5, V5 == V6, V3 == V7, V4 == V0; #67 ), references = 1, size of lhs = 5:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_inverse-{F}(V1,V0), P_b-{F}(V2), P_c-{F}(V2) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #86: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V4, V4 == V7; #78 ), references = 1, size of lhs = 3:
% 0.67/0.85 P_identity-{F}(V0), P_inverse-{F}(V0,V0), P_a-{F}(V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #106: mergings( V2 == V5, V5 == V6, V3 == V7, V6 == V8, V4 == V0; #100 ), references = 1, size of lhs = 5:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V2,V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #119: mergings( V2 == V3, V3 == V4, V4 == V5; #115 ), references = 5, size of lhs = 3:
% 0.67/0.85 P_identity-{F}(V0), product-{F}(V1,V2,V0), product-{F}(V0,V2,V3) | P_inverse-{T}(V1,V3)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #136: mergings( V2 == V3, V3 == V4; #133 ), references = 1, size of lhs = 4:
% 0.67/0.85 P_identity-{F}(V0), product-{F}(V1,V2,V2), product-{F}(V1,V0,V3), V3 == V0 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #149: mergings( V2 == V3, V3 == V8, V8 == V9; #145 ), references = 2, size of lhs = 8:
% 0.67/0.85 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_inverse-{F}(V1,V3), P_d-{F}(V4), P_identity-{F}(V5), product-{F}(V6,V3,V5), product-{F}(V6,V4,V7) | P_inverse-{T}(V0,V7)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #184: mergings( V3 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V12; #178 ), references = 2, size of lhs = 12:
% 0.67/0.85 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_inverse-{F}(V1,V3), P_d-{F}(V4), P_identity-{F}(V5), product-{F}(V6,V3,V5), product-{F}(V4,V7,V8), product-{F}(V6,V8,V9), product-{F}(V5,V7,V10), product-{F}(V0,V9,V11), V11 == V10 | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #193: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9; #187 ), references = 1, size of lhs = 7:
% 0.67/0.85 P_a-{F}(V0), P_b-{F}(V1), P_d-{F}(V1), P_c-{F}(V2), P_identity-{F}(V3), product-{F}(V1,V3,V4), product-{F}(V0,V4,V5) | P_inverse-{T}(V1,V5)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #229: mergings( V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11, V4 == V12, V6 == V14, V5 == V7, V7 == V13; #219 ), references = 1, size of lhs = 10:
% 0.67/0.85 P_c-{F}(V0), P_d-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V4), product-{F}(V4,V1,V5), product-{F}(V5,V6,V1), product-{F}(V2,V6,V7), product-{F}(V1,V7,V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #240: mergings( V2 == V3, V3 == V8, V8 == V9, V9 == V10, V10 == V11, V0 == V12, V4 == V13, V6 == V15, V5 == V7, V7 == V14; #218 ), references = 1, size of lhs = 10:
% 0.67/0.85 P_c-{F}(V0), P_d-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V4), product-{F}(V4,V1,V5), product-{F}(V5,V6,V1), product-{F}(V2,V6,V7), product-{F}(V1,V7,V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #254: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V4 == V5, V5 == V11; #245 ), references = 1, size of lhs = 7:
% 0.67/0.85 P_c-{F}(V0), P_d-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V2,V3,V4), product-{F}(V1,V4,V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #278: mergings( V2 == V7; #276 ), references = 3, size of lhs = 9:
% 0.67/0.85 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_inverse-{F}(V1,V3), P_d-{F}(V4), P_identity-{F}(V5), product-{F}(V6,V3,V5), product-{F}(V6,V5,V7), product-{F}(V0,V7,V8) | P_inverse-{T}(V4,V8)
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #303: mergings( V5 == V8, V8 == V9, V2 == V10, V3 == V7, V4 == V11; #296 ), references = 2, size of lhs = 8:
% 0.67/0.85 P_c-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V3,V1,V4), product-{F}(V2,V4,V0), P_d-{F}(V5), product-{F}(V1,V5,V5) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #309: mergings( V5 == V8, V8 == V9, V2 == V4, V3 == V7, V4 == V10; #297 ), references = 1, size of lhs = 8:
% 0.67/0.85 P_a-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_identity-{F}(V2), product-{F}(V2,V0,V0), P_b-{F}(V3), product-{F}(V3,V2,V4), product-{F}(V0,V4,V1) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #312: exists( #17, #310 ), references = 1, size of lhs = 6:
% 0.67/0.85 P_c-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V3,V1,V4), product-{F}(V2,V4,V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #317: mergings( V1 == V3, V2 == V5; #314 ), references = 2, size of lhs = 4:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V2,V0,V2) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #320: exists( #15, #318 ), references = 1, size of lhs = 2:
% 0.67/0.85 P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #322: exists( #14, #319 ), references = 1, size of lhs = 1:
% 0.67/0.85 P_identity-{F}(V0) | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 #324: exists( #11, #321 ), references = 1, size of lhs = 0:
% 0.67/0.85 FALSE | FALSE
% 0.67/0.85 (used 0 times, uses = {})
% 0.67/0.85
% 0.67/0.85 number of learnt formulas = 24
% 0.67/0.85
% 0.67/0.85
% 0.67/0.85 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.85
% 0.67/0.85 randbase = 1
%------------------------------------------------------------------------------