TSTP Solution File: GRP548-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:04:05 EDT 2022
% Result : Unsatisfiable 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 14:30:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.62/0.81 GeoParameters:
% 0.62/0.81
% 0.62/0.81 tptp_input = 1
% 0.62/0.81 tptp_output = 0
% 0.62/0.81 nonempty = 1
% 0.62/0.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81
% 0.62/0.81 RuleSystem INPUT:
% 0.62/0.81
% 0.62/0.81 Initial Rules:
% 0.62/0.81 #0: input, references = 5, size of lhs = 7:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V1,V2,V4), P_divide-{F}(V0,V4,V5), P_divide-{F}(V2,V3,V6), P_divide-{F}(V6,V1,V7), P_divide-{F}(V5,V7,V8), V8 == V3 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #1: input, references = 5, size of lhs = 5:
% 0.62/0.81 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V1,V4,V5), V3 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #2: input, references = 5, size of lhs = 4:
% 0.62/0.81 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #3: input, references = 4, size of lhs = 3:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #4: input, references = 7, size of lhs = 5:
% 0.62/0.81 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V2,V1,V4) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #5: input, references = 10, size of lhs = 2:
% 0.62/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #6: input, references = 4, size of lhs = 0:
% 0.62/0.81 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #7: input, references = 5, size of lhs = 2:
% 0.62/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #8: input, references = 8, size of lhs = 1:
% 0.62/0.81 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #9: input, references = 4, size of lhs = 0:
% 0.62/0.81 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #10: input, references = 5, size of lhs = 0:
% 0.62/0.81 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 number of initial rules = 11
% 0.62/0.81
% 0.62/0.81 Simplifiers:
% 0.62/0.81 #11: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #12: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #13: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #14: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #15: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #16: unsound, references = 3, size of lhs = 3:
% 0.62/0.81 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 number of simplifiers = 6
% 0.62/0.81
% 0.62/0.81 Learnt:
% 0.62/0.81 #18: exists( #5, #3 ), references = 7, size of lhs = 2:
% 0.62/0.81 P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #20: exists( #7, #4 ), references = 1, size of lhs = 3:
% 0.62/0.81 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #22: exists( #8, #2 ), references = 1, size of lhs = 2:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #24: exists( #5, #2 ), references = 5, size of lhs = 2:
% 0.62/0.81 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #26: exists( #7, #1 ), references = 7, size of lhs = 3:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #28: exists( #5, #0 ), references = 17, size of lhs = 5:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V4,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V6,V3,V7) | P_divide-{T}(V2,V7,V5)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #43: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #38 ), references = 2, size of lhs = 9:
% 0.62/0.81 P_a-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_b-{F}(V2), P_divide-{F}(V3,V2,V0), P_divide-{F}(V2,V3,V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V2,V2,V5), P_divide-{F}(V5,V0,V1) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #47: mergings( V1 == V2; #45 ), references = 1, size of lhs = 3:
% 0.62/0.81 P_a-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #70: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #65 ), references = 1, size of lhs = 9:
% 0.62/0.81 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V1,V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V1,V1,V5), P_divide-{F}(V5,V0,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #80: mergings( V3 == V4; #78 ), references = 4, size of lhs = 8:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V4,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V7,V2,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V5,V7,V10), P_divide-{F}(V9,V10,V11) | P_divide-{T}(V6,V3,V11)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #94: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #89 ), references = 2, size of lhs = 11:
% 0.62/0.81 P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V0,V1,V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V0,V5,V3), P_divide-{F}(V6,V7,V2), P_divide-{F}(V8,V6,V1), P_divide-{F}(V4,V8,V9), P_divide-{F}(V0,V9,V10), P_divide-{F}(V7,V10,V5) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #107: mergings( V13 == V17, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #99 ), references = 2, size of lhs = 13:
% 0.62/0.81 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V0,V2,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V0,V4,V5), P_divide-{F}(V6,V1,V0), P_divide-{F}(V1,V6,V7), P_divide-{F}(V0,V7,V0), P_divide-{F}(V1,V1,V8), P_divide-{F}(V8,V0,V0), P_divide-{F}(V8,V5,V9), P_divide-{F}(V0,V9,V2) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #112: exists( #5, #1 ), references = 1, size of lhs = 3:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #133: mergings( V3 == V4, V4 == V5, V5 == V6; #128 ), references = 2, size of lhs = 16:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_divide-{F}(V1,V1,V0), P_b-{F}(V2), P_divide-{F}(V3,V1,V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V6,V2,V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V10,V6,V5), P_divide-{F}(V10,V11,V10), P_divide-{F}(V11,V9,V12), P_divide-{F}(V0,V12,V7) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #140: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V12; #129 ), references = 1, size of lhs = 22:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_divide-{F}(V0,V1,V2), P_b-{F}(V3), P_divide-{F}(V0,V4,V0), P_divide-{F}(V5,V2,V6), P_divide-{F}(V7,V3,V6), P_divide-{F}(V0,V6,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V10,V7,V4), P_divide-{F}(V10,V5,V11), P_divide-{F}(V0,V11,V12), P_divide-{F}(V12,V6,V13), P_divide-{F}(V0,V13,V14), P_divide-{F}(V10,V15,V10), P_divide-{F}(V15,V9,V16), P_divide-{F}(V0,V16,V6), P_divide-{F}(V17,V14,V18), P_divide-{F}(V0,V18,V19), P_divide-{F}(V10,V17,V20), P_divide-{F}(V19,V20,V1) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #154: mergings( V7 == V8, V2 == V3; #151 ), references = 1, size of lhs = 13:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_divide-{F}(V1,V1,V0), P_b-{F}(V2), P_divide-{F}(V3,V1,V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V4,V0), P_divide-{F}(V5,V0,V5), P_divide-{F}(V0,V5,V0), P_divide-{F}(V6,V2,V0), P_divide-{F}(V2,V6,V7), P_divide-{F}(V0,V7,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #159: mergings( V6 == V7, V1 == V2; #156 ), references = 1, size of lhs = 9:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_divide-{F}(V1,V1,V0), P_divide-{F}(V2,V1,V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V4,V0,V4), P_divide-{F}(V0,V4,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #164: mergings( V3 == V4, V1 == V2; #161 ), references = 1, size of lhs = 4:
% 0.62/0.81 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V0,V1), P_divide-{F}(V0,V1,V0) | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 #167: exists( #6, #165 ), references = 1, size of lhs = 0:
% 0.62/0.81 FALSE | FALSE
% 0.62/0.81 (used 0 times, uses = {})
% 0.62/0.81
% 0.62/0.81 number of learnt formulas = 19
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.81
% 0.62/0.81 randbase = 1
%------------------------------------------------------------------------------