TSTP Solution File: GRP132-1.002 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:03:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP132-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n016.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 14:09:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.37 GeoParameters:
% 0.18/0.37
% 0.18/0.37 tptp_input = 1
% 0.18/0.37 tptp_output = 0
% 0.18/0.37 nonempty = 1
% 0.18/0.37 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37
% 0.18/0.37 RuleSystem INPUT:
% 0.18/0.37
% 0.18/0.37 Initial Rules:
% 0.18/0.37 #0: input, references = 4, size of lhs = 1:
% 0.18/0.37 P_e_1-{F}(V0) | group_element-{T}(V0)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #1: input, references = 4, size of lhs = 2:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #2: input, references = 9, size of lhs = 3:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #3: input, references = 4, size of lhs = 3:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), equalish-{F}(V1,V0) | FALSE
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #4: input, references = 9, size of lhs = 4:
% 0.18/0.37 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)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #5: input, references = 4, size of lhs = 4:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3) | equalish-{T}(V2,V3)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #6: input, references = 5, size of lhs = 4:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V5,V2,V4), product-{F}(V5,V3,V4) | equalish-{T}(V2,V3)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #7: input, references = 5, size of lhs = 4:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V2,V4,V5), product-{F}(V3,V4,V5) | equalish-{T}(V2,V3)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #8: input, references = 5, size of lhs = 6:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V4,V2,V3), product-{F}(V2,V3,V5), product-{F}(V6,V7,V5), product-{F}(V4,V6,V7) | equalish-{T}(V6,V2)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #9: input, references = 3, size of lhs = 6:
% 0.18/0.37 P_e_1-{F}(V0), P_e_2-{F}(V1), product-{F}(V4,V2,V3), product-{F}(V2,V3,V5), product-{F}(V7,V6,V5), product-{F}(V4,V7,V6) | equalish-{T}(V6,V3)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #10: input, references = 4, size of lhs = 0:
% 0.18/0.37 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #11: input, references = 4, size of lhs = 0:
% 0.18/0.37 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 number of initial rules = 12
% 0.18/0.37
% 0.18/0.37 Simplifiers:
% 0.18/0.37 #12: unsound, references = 3, size of lhs = 3:
% 0.18/0.37 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #13: unsound, references = 3, size of lhs = 3:
% 0.18/0.37 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 number of simplifiers = 2
% 0.18/0.37
% 0.18/0.37 Learnt:
% 0.18/0.37 #21: mergings( V4 == V0, V1 == V5, V5 == V0; #16 ), references = 1, size of lhs = 4:
% 0.18/0.37 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V2) | product-{T}(V1,V0,V2)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #35: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #30 ), references = 1, size of lhs = 5:
% 0.18/0.37 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)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #44: mergings( V0 == V4, V4 == V6, V1 == V2, V2 == V5; #38 ), references = 2, size of lhs = 5:
% 0.18/0.37 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V2) | product-{T}(V1,V0,V0)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #51: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #46 ), references = 1, size of lhs = 7:
% 0.18/0.37 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V3,V1,V0), product-{F}(V3,V2,V4), product-{F}(V2,V4,V2) | product-{T}(V1,V0,V1)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #68: mergings( V2 == V0, V0 == V4, V4 == V9, V9 == V11, V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12; #56 ), references = 1, size of lhs = 4:
% 0.18/0.37 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1) | product-{T}(V0,V0,V1)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #75: mergings( V0 == V4, V4 == V6, V1 == V3, V3 == V5; #70 ), references = 1, size of lhs = 5:
% 0.18/0.37 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1) | product-{T}(V1,V0,V2)
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #89: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #81 ), references = 1, size of lhs = 2:
% 0.18/0.37 group_element-{F}(V0), P_e_1-{F}(V0) | FALSE
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 #92: exists( #10, #90 ), references = 1, size of lhs = 0:
% 0.18/0.37 FALSE | FALSE
% 0.18/0.37 (used 0 times, uses = {})
% 0.18/0.37
% 0.18/0.37 number of learnt formulas = 8
% 0.18/0.37
% 0.18/0.37
% 0.18/0.37 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.37
% 0.18/0.37 randbase = 1
%------------------------------------------------------------------------------