TSTP Solution File: GRP544-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 06:04:04 EDT 2022
% Result : Unsatisfiable 0.48s 0.70s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 13:57:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/0.70 GeoParameters:
% 0.48/0.70
% 0.48/0.70 tptp_input = 1
% 0.48/0.70 tptp_output = 0
% 0.48/0.70 nonempty = 1
% 0.48/0.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70
% 0.48/0.70 RuleSystem INPUT:
% 0.48/0.70
% 0.48/0.70 Initial Rules:
% 0.48/0.70 #0: input, references = 5, size of lhs = 7:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V1,V2,V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V5,V1,V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V7,V3,V8), V8 == V2 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #1: input, references = 5, size of lhs = 5:
% 0.48/0.70 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
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #2: input, references = 5, size of lhs = 4:
% 0.48/0.70 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #3: input, references = 4, size of lhs = 3:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #4: input, references = 7, size of lhs = 5:
% 0.48/0.70 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
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #5: input, references = 10, size of lhs = 2:
% 0.48/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #6: input, references = 4, size of lhs = 0:
% 0.48/0.70 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #7: input, references = 5, size of lhs = 2:
% 0.48/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #8: input, references = 7, size of lhs = 1:
% 0.48/0.70 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #9: input, references = 4, size of lhs = 0:
% 0.48/0.70 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #10: input, references = 5, size of lhs = 0:
% 0.48/0.70 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 number of initial rules = 11
% 0.48/0.70
% 0.48/0.70 Simplifiers:
% 0.48/0.70 #11: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #12: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #13: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #14: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #15: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #16: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 number of simplifiers = 6
% 0.48/0.70
% 0.48/0.70 Learnt:
% 0.48/0.70 #18: exists( #5, #3 ), references = 11, size of lhs = 2:
% 0.48/0.70 P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #20: exists( #7, #4 ), references = 1, size of lhs = 3:
% 0.48/0.70 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #22: exists( #8, #2 ), references = 1, size of lhs = 2:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #24: exists( #5, #2 ), references = 4, size of lhs = 2:
% 0.48/0.70 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #26: exists( #7, #1 ), references = 7, size of lhs = 3:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #28: exists( #5, #0 ), references = 15, size of lhs = 5:
% 0.48/0.70 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,V7,V3) | P_divide-{T}(V2,V7,V5)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #46: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V8 == V9, V6 == V7; #39 ), references = 2, size of lhs = 7:
% 0.48/0.70 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V0,V2,V0), P_divide-{F}(V1,V1,V3), P_divide-{F}(V3,V2,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #50: mergings( V1 == V2; #48 ), references = 1, size of lhs = 4:
% 0.48/0.70 P_a-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V1,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #75: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V8 == V9, V6 == V7; #68 ), references = 1, size of lhs = 7:
% 0.48/0.70 P_b-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1), P_divide-{F}(V0,V0,V2), P_divide-{F}(V0,V2,V0), P_divide-{F}(V1,V1,V3), P_divide-{F}(V3,V2,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #88: mergings( V3 == V4, V4 == V5; #85 ), references = 1, size of lhs = 7:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V3,V5), P_divide-{F}(V0,V5,V6), P_divide-{F}(V7,V8,V4), P_divide-{F}(V6,V8,V9) | P_divide-{T}(V1,V7,V9)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #110: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V9 == V11, V7 == V8; #103 ), references = 2, size of lhs = 7:
% 0.48/0.70 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V0,V2,V3), P_divide-{F}(V0,V3,V2), P_divide-{F}(V0,V1,V4), P_divide-{F}(V0,V4,V5) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #120: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #114 ), references = 2, size of lhs = 7:
% 0.48/0.70 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V0,V2,V3), P_divide-{F}(V0,V3,V2), P_divide-{F}(V0,V0,V4), P_divide-{F}(V0,V4,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #124: exists( #5, #1 ), references = 1, size of lhs = 3:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #144: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #138 ), references = 1, size of lhs = 13:
% 0.48/0.70 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V0,V1,V3), P_divide-{F}(V0,V3,V4), P_divide-{F}(V0,V5,V0), P_divide-{F}(V0,V6,V0), P_divide-{F}(V7,V2,V8), P_divide-{F}(V9,V7,V5), P_divide-{F}(V9,V2,V10), P_divide-{F}(V10,V8,V6), P_divide-{F}(V0,V11,V8), P_divide-{F}(V0,V12,V11) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #149: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #139 ), references = 2, size of lhs = 13:
% 0.48/0.70 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_divide-{F}(V0,V0,V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V0,V5,V0), P_divide-{F}(V6,V2,V7), P_divide-{F}(V8,V6,V4), P_divide-{F}(V8,V2,V9), P_divide-{F}(V9,V7,V5), P_divide-{F}(V0,V10,V7), P_divide-{F}(V0,V11,V10) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #159: mergings( V1 == V2, V2 == V4, V4 == V5; #155 ), references = 1, size of lhs = 5:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a-{F}(V1), P_divide-{F}(V0,V2,V0), P_divide-{F}(V0,V3,V2) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #164: mergings( V1 == V2, V2 == V3, V3 == V4; #160 ), references = 1, size of lhs = 4:
% 0.48/0.70 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V2,V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #167: exists( #6, #165 ), references = 1, size of lhs = 0:
% 0.48/0.70 FALSE | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 number of learnt formulas = 18
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70
% 0.48/0.70 randbase = 1
%------------------------------------------------------------------------------