TSTP Solution File: GRP135-1.002 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% 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 06:03:21 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n019.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 14:09:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 GeoParameters:
% 0.13/0.35
% 0.13/0.35 tptp_input = 1
% 0.13/0.35 tptp_output = 0
% 0.13/0.35 nonempty = 1
% 0.13/0.35 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 RuleSystem INPUT:
% 0.13/0.35
% 0.13/0.35 Initial Rules:
% 0.13/0.35 #0: input, references = 4, size of lhs = 1:
% 0.13/0.35 P_e_1-{F}(V0) | group_element-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #1: input, references = 4, size of lhs = 2:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #2: input, references = 8, size of lhs = 3:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #3: input, references = 4, size of lhs = 3:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), equalish-{F}(V1,V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #4: input, references = 7, size of lhs = 4:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), group_element-{F}(V2), group_element-{F}(V3) | product-{T}(V3,V2,V0), product-{T}(V3,V2,V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #5: input, references = 4, size of lhs = 4:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3) | equalish-{T}(V2,V3)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #6: input, references = 5, size of lhs = 4:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V5,V2,V4), product-{F}(V5,V3,V4) | equalish-{T}(V2,V3)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #7: input, references = 6, size of lhs = 4:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V2,V4,V5), product-{F}(V3,V4,V5) | equalish-{T}(V2,V3)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #8: input, references = 5, size of lhs = 4:
% 0.13/0.35 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V3,V2,V4), product-{F}(V2,V5,V3) | product-{T}(V4,V2,V5)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #9: input, references = 4, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #10: input, references = 4, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 number of initial rules = 11
% 0.13/0.35
% 0.13/0.35 Simplifiers:
% 0.13/0.35 #11: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #12: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 number of simplifiers = 2
% 0.13/0.35
% 0.13/0.35 Learnt:
% 0.13/0.35 #20: mergings( V4 == V0, V1 == V5, V5 == V0; #15 ), references = 1, size of lhs = 4:
% 0.13/0.35 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V2) | product-{T}(V1,V0,V2)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #34: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #29 ), references = 1, size of lhs = 5:
% 0.13/0.35 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2) | product-{T}(V1,V0,V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #46: mergings( V4 == V6, V6 == V0, V1 == V3, V3 == V5, V5 == V7; #40 ), references = 2, size of lhs = 5:
% 0.13/0.35 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V0,V2,V1) | product-{T}(V1,V0,V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #53: mergings( V0 == V4, V4 == V6, V6 == V8, V1 == V2, V2 == V5, V5 == V7; #39 ), references = 1, size of lhs = 6:
% 0.13/0.35 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V0,V3,V1) | product-{T}(V1,V0,V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #69: mergings( V3 == V0, V0 == V2, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V1 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12; #57 ), references = 1, size of lhs = 4:
% 0.13/0.35 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1) | product-{T}(V0,V0,V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #82: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #74 ), references = 1, size of lhs = 2:
% 0.13/0.35 group_element-{F}(V0), P_e_1-{F}(V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #85: exists( #9, #83 ), references = 1, size of lhs = 0:
% 0.13/0.35 FALSE | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 number of learnt formulas = 7
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 randbase = 1
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