TSTP Solution File: GRP123-6.003 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP123-6.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:03:11 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-6.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 13:38:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.39 GeoParameters:
% 0.12/0.39
% 0.12/0.39 tptp_input = 1
% 0.12/0.39 tptp_output = 0
% 0.12/0.39 nonempty = 1
% 0.12/0.39 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 RuleSystem INPUT:
% 0.12/0.39
% 0.12/0.39 Initial Rules:
% 0.12/0.39 #0: input, references = 4, size of lhs = 1:
% 0.12/0.39 P_e_1-{F}(V0) | group_element-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #1: input, references = 4, size of lhs = 2:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #2: input, references = 4, size of lhs = 3:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #3: input, references = 5, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #4: input, references = 4, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #5: input, references = 4, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #6: input, references = 3, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #7: input, references = 4, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #8: input, references = 3, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #9: input, references = 5, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), group_element-{F}(V3), group_element-{F}(V4) | product1-{T}(V4,V3,V0), product1-{T}(V4,V3,V1), product1-{T}(V4,V3,V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #10: input, references = 4, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product1-{F}(V6,V5,V3), product1-{F}(V6,V5,V4) | equalish-{T}(V3,V4)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #11: input, references = 4, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product1-{F}(V6,V3,V5), product1-{F}(V6,V4,V5) | equalish-{T}(V3,V4)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #12: input, references = 5, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product1-{F}(V3,V5,V6), product1-{F}(V4,V5,V6) | equalish-{T}(V3,V4)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #13: input, references = 6, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), #-{F} V3 | product1-{T}(V3,V3,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #14: input, references = 3, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), group_element-{F}(V3), group_element-{F}(V4) | product2-{T}(V4,V3,V0), product2-{T}(V4,V3,V1), product2-{T}(V4,V3,V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #15: input, references = 4, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product2-{F}(V6,V5,V3), product2-{F}(V6,V5,V4) | equalish-{T}(V3,V4)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #16: input, references = 3, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product2-{F}(V6,V3,V5), product2-{F}(V6,V4,V5) | equalish-{T}(V3,V4)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #17: input, references = 3, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product2-{F}(V3,V5,V6), product2-{F}(V4,V5,V6) | equalish-{T}(V3,V4)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #18: input, references = 4, size of lhs = 4:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), #-{F} V3 | product2-{T}(V3,V3,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #19: input, references = 4, size of lhs = 5:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product1-{F}(V4,V3,V5), product1-{F}(V6,V3,V4) | product2-{T}(V5,V6,V3)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #20: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #21: input, references = 4, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #22: input, references = 5, size of lhs = 0:
% 0.12/0.39 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of initial rules = 23
% 0.12/0.39
% 0.12/0.39 Simplifiers:
% 0.12/0.39 #23: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #24: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.39 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of simplifiers = 3
% 0.12/0.39
% 0.12/0.39 Learnt:
% 0.12/0.39 #36: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V5; #30 ), references = 1, size of lhs = 2:
% 0.12/0.39 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #62: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V12, V12 == V15, V1 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V18, V2 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V17, V17 == V19; #44 ), references = 1, size of lhs = 8:
% 0.12/0.39 group_element-{F}(V0), product2-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_3-{F}(V2), product1-{F}(V2,V1,V3), product2-{F}(V3,V0,V0) | product1-{T}(V0,V1,V1)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #96: mergings( V0 == V5, V5 == V3, V3 == V7, V7 == V10, V10 == V15, V15 == V18, V18 == V23, V23 == V26, V26 == V28, V1 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V29, V29 == V31, V2 == V4, V4 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V30, V30 == V32; #65 ), references = 1, size of lhs = 9:
% 0.12/0.39 group_element-{F}(V0), P_e_3-{F}(V0), product1-{F}(V0,V0,V0), group_element-{F}(V1), product2-{F}(V1,V1,V1), P_e_2-{F}(V1), group_element-{F}(V2), product1-{F}(V2,V2,V2), P_e_1-{F}(V2) | product1-{T}(V0,V2,V2)
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #128: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V26; #103 ), references = 1, size of lhs = 4:
% 0.12/0.39 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #143: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #130 ), references = 1, size of lhs = 2:
% 0.12/0.39 group_element-{F}(V0), P_e_1-{F}(V0) | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 #146: exists( #20, #144 ), references = 1, size of lhs = 0:
% 0.12/0.39 FALSE | FALSE
% 0.12/0.39 (used 0 times, uses = {})
% 0.12/0.39
% 0.12/0.39 number of learnt formulas = 6
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39
% 0.12/0.39 randbase = 1
%------------------------------------------------------------------------------