TSTP Solution File: GRP033-3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 06:03:02 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 13:46:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43 GeoParameters:
% 0.19/0.43
% 0.19/0.43 tptp_input = 1
% 0.19/0.43 tptp_output = 0
% 0.19/0.43 nonempty = 1
% 0.19/0.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 RuleSystem INPUT:
% 0.19/0.43
% 0.19/0.43 Initial Rules:
% 0.19/0.43 #0: input, references = 3, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | equalish-{T}(V0,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #1: input, references = 3, size of lhs = 1:
% 0.19/0.43 equalish-{F}(V0,V1) | equalish-{T}(V1,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #2: input, references = 3, size of lhs = 2:
% 0.19/0.43 equalish-{F}(V0,V1), equalish-{F}(V2,V0) | equalish-{T}(V2,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #3: input, references = 3, size of lhs = 3:
% 0.19/0.43 P_inverse-{F}(V0,V2), P_inverse-{F}(V1,V3), equalish-{F}(V0,V1) | equalish-{T}(V2,V3)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #4: input, references = 3, size of lhs = 3:
% 0.19/0.43 equalish-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #5: input, references = 3, size of lhs = 3:
% 0.19/0.43 equalish-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V1,V4) | equalish-{T}(V3,V4)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #6: input, references = 3, size of lhs = 2:
% 0.19/0.43 equalish-{F}(V3,V0), product-{F}(V3,V2,V1) | product-{T}(V0,V2,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #7: input, references = 3, size of lhs = 2:
% 0.19/0.43 equalish-{F}(V3,V0), product-{F}(V2,V3,V1) | product-{T}(V2,V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #8: input, references = 3, size of lhs = 2:
% 0.19/0.43 equalish-{F}(V3,V0), product-{F}(V2,V1,V3) | product-{T}(V2,V1,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #9: input, references = 3, size of lhs = 2:
% 0.19/0.43 equalish-{F}(V1,V0), subgroup_member-{F}(V1) | subgroup_member-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #10: input, references = 4, size of lhs = 2:
% 0.19/0.43 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #11: input, references = 4, size of lhs = 2:
% 0.19/0.43 P_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #12: input, references = 3, size of lhs = 2:
% 0.19/0.43 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #13: input, references = 4, size of lhs = 2:
% 0.19/0.43 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V1,V2,V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #14: input, references = 3, size of lhs = 2:
% 0.19/0.43 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #15: input, references = 3, size of lhs = 3:
% 0.19/0.43 P_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #16: input, references = 3, size of lhs = 4:
% 0.19/0.43 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #17: input, references = 3, size of lhs = 4:
% 0.19/0.43 P_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #18: input, references = 4, size of lhs = 5:
% 0.19/0.43 P_identity-{F}(V0), P_inverse-{F}(V2,V3), subgroup_member-{F}(V2), subgroup_member-{F}(V4), product-{F}(V4,V3,V1) | subgroup_member-{T}(V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #19: input, references = 4, size of lhs = 2:
% 0.19/0.43 P_identity-{F}(V0), P_a-{F}(V1) | subgroup_member-{T}(V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #20: input, references = 3, size of lhs = 4:
% 0.19/0.43 P_identity-{F}(V0), P_a-{F}(V1), P_j-{F}(V2,V3), subgroup_member-{F}(V2) | subgroup_member-{T}(V3)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #21: input, references = 4, size of lhs = 6:
% 0.19/0.43 P_identity-{F}(V0), P_a-{F}(V1), P_j-{F}(V2,V3), product-{F}(V3,V2,V3), product-{F}(V2,V3,V3), subgroup_member-{F}(V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #22: input, references = 4, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #23: input, references = 3, size of lhs = 2:
% 0.19/0.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #24: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #25: input, references = 4, size of lhs = 0:
% 0.19/0.43 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #26: input, references = 4, size of lhs = 1:
% 0.19/0.43 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of initial rules = 27
% 0.19/0.43
% 0.19/0.43 Simplifiers:
% 0.19/0.43 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.43 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of simplifiers = 5
% 0.19/0.43
% 0.19/0.43 Learnt:
% 0.19/0.43 #39: mergings( V0 == V2; #37 ), references = 2, size of lhs = 3:
% 0.19/0.43 subgroup_member-{F}(V0), P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #54: mergings( V2 == V3; #51 ), references = 1, size of lhs = 3:
% 0.19/0.43 subgroup_member-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #59: mergings( V1 == V2, V2 == V3; #56 ), references = 1, size of lhs = 1:
% 0.19/0.43 P_identity-{F}(V0) | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 #61: exists( #24, #56 ), references = 1, size of lhs = 0:
% 0.19/0.43 FALSE | FALSE
% 0.19/0.43 (used 0 times, uses = {})
% 0.19/0.43
% 0.19/0.43 number of learnt formulas = 4
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 randbase = 1
%------------------------------------------------------------------------------