TSTP Solution File: GRP123-7.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 13:50:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42 GeoParameters:
% 0.19/0.42
% 0.19/0.42 tptp_input = 1
% 0.19/0.42 tptp_output = 0
% 0.19/0.42 nonempty = 1
% 0.19/0.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 RuleSystem INPUT:
% 0.19/0.42
% 0.19/0.42 Initial Rules:
% 0.19/0.42 #0: input, references = 3, size of lhs = 2:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #1: input, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | next-{T}(V1,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #2: input, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | greater-{T}(V1,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #3: input, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | greater-{T}(V2,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #4: input, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | greater-{T}(V2,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #5: input, references = 3, size of lhs = 6:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), greater-{F}(V3,V4), product-{F}(V5,V0,V3), next-{F}(V5,V4) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #6: input, references = 4, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #7: input, references = 4, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #8: input, references = 4, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #9: input, references = 5, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #10: input, references = 4, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #11: input, references = 4, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #12: input, references = 4, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #13: input, references = 5, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #14: input, references = 3, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #15: input, references = 5, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #16: input, references = 4, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #17: input, references = 4, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #18: input, references = 6, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #19: input, references = 6, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), #-{F} V3 | product1-{T}(V3,V3,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #20: input, references = 3, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #21: input, references = 5, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #22: input, references = 3, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #23: input, references = 3, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #24: input, references = 5, size of lhs = 4:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), #-{F} V3 | product2-{T}(V3,V3,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #25: input, references = 5, size of lhs = 5:
% 0.19/0.42 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)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #26: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #27: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #28: input, references = 5, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of initial rules = 29
% 0.19/0.42
% 0.19/0.42 Simplifiers:
% 0.19/0.42 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of simplifiers = 3
% 0.19/0.42
% 0.19/0.42 Learnt:
% 0.19/0.42 #44: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V5; #38 ), references = 1, size of lhs = 2:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #72: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V12, V1 == V5, V5 == V10, V10 == V13, V13 == V15, V2 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16; #57 ), references = 1, size of lhs = 7:
% 0.19/0.42 group_element-{F}(V0), product1-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), product2-{F}(V1,V1,V1), P_e_3-{F}(V2) | product1-{T}(V1,V0,V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #94: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V14, V1 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V17, V2 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18; #78 ), references = 1, size of lhs = 8:
% 0.19/0.42 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V2), product1-{F}(V2,V0,V3), product2-{F}(V3,V1,V4), P_e_3-{F}(V4), product1-{F}(V1,V4,V4) | product1-{T}(V1,V0,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #110: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V14, V14 == V17, V1 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V18, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V16; #77 ), references = 1, size of lhs = 8:
% 0.19/0.42 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_2-{F}(V2), product1-{F}(V2,V0,V1), product1-{F}(V2,V0,V3), product2-{F}(V3,V1,V1) | product1-{T}(V1,V0,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #128: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V13, V13 == V16, V1 == V5, V5 == V8, V8 == V10, V10 == V14, V14 == V17, V17 == V19, V2 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V20; #79 ), references = 1, size of lhs = 8:
% 0.19/0.42 group_element-{F}(V0), P_e_3-{F}(V0), product2-{F}(V0,V0,V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_2-{F}(V2), product1-{F}(V2,V1,V3), product2-{F}(V3,V0,V0) | product1-{T}(V0,V1,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #169: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V26, V26 == V29, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V31; #139 ), references = 1, size of lhs = 2:
% 0.19/0.42 P_e_1-{F}(V0), P_e_2-{F}(V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #184: 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, V13 == V14; #170 ), references = 1, size of lhs = 1:
% 0.19/0.42 P_e_1-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #186: exists( #26, #170 ), references = 1, size of lhs = 0:
% 0.19/0.42 FALSE | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of learnt formulas = 8
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 randbase = 1
%------------------------------------------------------------------------------