TSTP Solution File: GRP130-2.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP130-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:03:19 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP130-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 13:37:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 GeoParameters:
% 0.18/0.48
% 0.18/0.48 tptp_input = 1
% 0.18/0.48 tptp_output = 0
% 0.18/0.48 nonempty = 1
% 0.18/0.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 RuleSystem INPUT:
% 0.18/0.48
% 0.18/0.48 Initial Rules:
% 0.18/0.48 #0: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1) | next-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #1: input, references = 3, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | next-{T}(V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #2: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | greater-{T}(V1,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #3: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | greater-{T}(V2,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #4: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | greater-{T}(V2,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #5: input, references = 6, size of lhs = 6:
% 0.18/0.48 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
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #6: input, references = 5, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #7: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #8: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #9: input, references = 11, size of lhs = 4:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #12: input, references = 4, size of lhs = 4:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #13: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #14: input, references = 6, size of lhs = 4:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #15: input, references = 11, size of lhs = 5:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), group_element-{F}(V3), group_element-{F}(V4) | product-{T}(V4,V3,V0), product-{T}(V4,V3,V1), product-{T}(V4,V3,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #16: input, references = 5, size of lhs = 5:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V6,V5,V3), product-{F}(V6,V5,V4) | equalish-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #17: input, references = 6, size of lhs = 5:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V6,V3,V5), product-{F}(V6,V4,V5) | equalish-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: input, references = 12, size of lhs = 5:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V3,V5,V6), product-{F}(V4,V5,V6) | equalish-{T}(V3,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #19: input, references = 11, size of lhs = 5:
% 0.18/0.48 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V3,V4,V5), product-{F}(V3,V6,V4) | product-{T}(V5,V6,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #20: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #22: input, references = 5, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 23
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #23: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 3
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #32: mergings( V0 == V3, V1 == V5, V5 == V8, V2 == V6, V6 == V9; #26 ), references = 2, size of lhs = 9:
% 0.18/0.48 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), greater-{F}(V0,V2), next-{F}(V1,V2), P_e_2-{F}(V3), P_e_3-{F}(V4), greater-{F}(V3,V5), next-{F}(V1,V5) | product-{T}(V1,V0,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #46: mergings( V1 == V2, V2 == V5, V3 == V4, V4 == V5, V5 == V6; #40 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), next-{F}(V0,V0), P_e_2-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #69: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V13, V1 == V4, V4 == V6, V6 == V11, V2 == V7, V7 == V9, V9 == V12, V12 == V14; #57 ), references = 1, size of lhs = 7:
% 0.18/0.48 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), product-{F}(V3,V0,V3) | product-{T}(V1,V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #88: mergings( V0 == V4, V4 == V7, V7 == V12, V12 == V15, V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V2 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16; #73 ), references = 1, size of lhs = 6:
% 0.18/0.48 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V0), P_e_3-{F}(V2) | product-{T}(V1,V0,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #116: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V12, V12 == V16, V16 == V19, V1 == V6, V6 == V9, V9 == V13, V13 == V17, V17 == V20, V20 == V22, V22 == V25, V2 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V26; #92 ), references = 1, size of lhs = 9:
% 0.18/0.48 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), next-{F}(V1,V2), P_e_3-{F}(V3), greater-{F}(V3,V2), greater-{F}(V3,V4), next-{F}(V1,V4) | product-{T}(V1,V1,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #148: mergings( V5 == V8, V8 == V0, V0 == V12, V12 == V15, V15 == V18, V1 == V4, V4 == V6, V6 == V9, V9 == V13, V13 == V16, V16 == V19, V7 == V10, V10 == V11, V11 == V14, V14 == V17, V17 == V2; #128 ), references = 1, size of lhs = 8:
% 0.18/0.48 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V1), P_e_3-{F}(V3), product-{F}(V1,V4,V1), product-{F}(V1,V4,V0) | product-{T}(V1,V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #165: mergings( V5 == V8, V8 == V0, V0 == V14, V14 == V17, V17 == V20, V1 == V6, V6 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V21, V7 == V10, V10 == V12, V12 == V16, V16 == V19, V19 == V2; #130 ), references = 2, size of lhs = 9:
% 0.18/0.48 group_element-{F}(V0), group_element-{F}(V1), product-{F}(V1,V2,V0), P_e_1-{F}(V3), P_e_2-{F}(V4), product-{F}(V4,V2,V1), P_e_3-{F}(V5), product-{F}(V4,V6,V1), product-{F}(V1,V6,V0) | product-{T}(V1,V0,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #182: mergings( V5 == V8, V8 == V0, V0 == V12, V12 == V15, V15 == V18, V1 == V4, V4 == V6, V6 == V9, V9 == V13, V13 == V16, V2 == V7, V7 == V10, V10 == V11, V11 == V14, V14 == V17, V17 == V19; #129 ), references = 1, size of lhs = 8:
% 0.18/0.48 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V1), P_e_3-{F}(V3), product-{F}(V1,V4,V0), product-{F}(V3,V4,V3) | product-{T}(V1,V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #211: mergings( V0 == V3, V3 == V4, V4 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V23, V23 == V26, V1 == V5, V5 == V8, V8 == V12, V12 == V15, V15 == V20, V20 == V24, V2 == V6, V6 == V9, V9 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V25, V25 == V27; #185 ), references = 1, size of lhs = 6:
% 0.18/0.48 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V2,V0,V2) | product-{T}(V1,V0,V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #253: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V3, V3 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V31, V31 == V34, V34 == V35, V35 == V38, V1 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V28, V28 == V32, V32 == V36, V4 == V7, V7 == V2, V2 == V14, V14 == V17, V17 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V30, V30 == V33, V33 == V37, V37 == V39; #214 ), references = 1, size of lhs = 7:
% 0.18/0.48 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V1), group_element-{F}(V2), P_e_2-{F}(V2) | product-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #290: mergings( V4 == V10, V10 == V0, V0 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V31, V31 == V34, V34 == V35, V35 == V38, V1 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V16, V16 == V20, V20 == V23, V23 == V28, V28 == V32, V32 == V36, V3 == V6, V6 == V8, V8 == V2, V2 == V14, V14 == V17, V17 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V30, V30 == V33, V33 == V37, V37 == V39; #215 ), references = 1, size of lhs = 9:
% 0.18/0.48 group_element-{F}(V0), P_e_3-{F}(V0), greater-{F}(V0,V1), group_element-{F}(V2), next-{F}(V2,V1), P_e_1-{F}(V2), product-{F}(V2,V2,V2), group_element-{F}(V3), P_e_2-{F}(V3) | product-{T}(V0,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #309: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V11, V11 == V13, V13 == V16, V1 == V7, V7 == V10, V10 == V14, V2 == V5, V5 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V17; #293 ), references = 1, size of lhs = 7:
% 0.18/0.48 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_2-{F}(V2), product-{F}(V0,V1,V2) | product-{T}(V2,V1,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #365: mergings( V1 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V44, V44 == V45, V45 == V47, V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V37, V37 == V42, V42 == V43, V43 == V46, V46 == V48; #318 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_e_1-{F}(V0), next-{F}(V0,V1), P_e_2-{F}(V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #392: 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, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25; #367 ), references = 1, size of lhs = 1:
% 0.18/0.48 P_e_1-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #394: exists( #20, #367 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 15
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------