TSTP Solution File: GRP133-1.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 1.45s 1.69s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP133-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n013.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 14:36:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.45/1.69 GeoParameters:
% 1.45/1.69
% 1.45/1.69 tptp_input = 1
% 1.45/1.69 tptp_output = 0
% 1.45/1.69 nonempty = 1
% 1.45/1.69 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.69 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.45/1.69
% 1.45/1.69
% 1.45/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.69
% 1.45/1.69 RuleSystem INPUT:
% 1.45/1.69
% 1.45/1.69 Initial Rules:
% 1.45/1.69 #0: input, references = 4, size of lhs = 1:
% 1.45/1.69 P_e_1-{F}(V0) | group_element-{T}(V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #1: input, references = 4, size of lhs = 2:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #2: input, references = 4, size of lhs = 3:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #3: input, references = 19, size of lhs = 4:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V1) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #4: input, references = 10, size of lhs = 4:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #5: input, references = 10, size of lhs = 4:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V0) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #6: input, references = 5, size of lhs = 4:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #7: input, references = 6, size of lhs = 4:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #8: input, references = 7, size of lhs = 4:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V1) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #9: input, references = 21, size of lhs = 5:
% 1.45/1.69 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)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #10: input, references = 11, size of lhs = 5:
% 1.45/1.69 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)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #11: input, references = 18, size of lhs = 5:
% 1.45/1.69 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)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #12: input, references = 19, size of lhs = 5:
% 1.45/1.69 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)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #13: input, references = 17, size of lhs = 5:
% 1.45/1.69 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), product-{F}(V3,V6,V4), product-{F}(V6,V3,V5) | product-{T}(V4,V5,V3)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #14: input, references = 4, size of lhs = 0:
% 1.45/1.69 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #15: input, references = 4, size of lhs = 0:
% 1.45/1.69 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #16: input, references = 5, size of lhs = 0:
% 1.45/1.69 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 number of initial rules = 17
% 1.45/1.69
% 1.45/1.69 Simplifiers:
% 1.45/1.69 #17: unsound, references = 3, size of lhs = 3:
% 1.45/1.69 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #18: unsound, references = 3, size of lhs = 3:
% 1.45/1.69 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #19: unsound, references = 3, size of lhs = 3:
% 1.45/1.69 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 number of simplifiers = 3
% 1.45/1.69
% 1.45/1.69 Learnt:
% 1.45/1.69 #35: mergings( V5 == V0, V0 == V9, V9 == V1, V6 == V10, V10 == V1, V2 == V7, V7 == V8, V8 == V11, V11 == V12; #22 ), references = 1, size of lhs = 5:
% 1.45/1.69 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V2), P_e_3-{F}(V3) | product-{T}(V1,V0,V3)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #50: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V4 == V7, V7 == V9, V9 == V10; #40 ), references = 1, size of lhs = 4:
% 1.45/1.69 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #66: mergings( V0 == V5, V5 == V8, V8 == V9, V9 == V12, V6 == V1, V1 == V10, V10 == V2, V7 == V11, V11 == V2; #53 ), references = 1, size of lhs = 5:
% 1.45/1.69 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_2-{F}(V3), P_e_3-{F}(V3) | product-{T}(V1,V0,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #86: mergings( V5 == V0, V0 == V9, V9 == V2, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V7 == V11, V11 == V2; #73 ), references = 1, size of lhs = 5:
% 1.45/1.69 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), P_e_3-{F}(V2), P_e_2-{F}(V3) | product-{T}(V1,V0,V3)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #110: mergings( V0 == V4, V4 == V5, V5 == V10, V10 == V13, V13 == V16, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V2 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18; #94 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), P_e_2-{F}(V2), product-{F}(V2,V0,V1), P_e_3-{F}(V3), product-{F}(V3,V1,V1), product-{F}(V0,V1,V3) | product-{T}(V1,V0,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #143: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V3, V3 == V13, V13 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V1 == V6, V6 == V11, V11 == V4, V4 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V27, V7 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V2, V2 == V28, V28 == V30; #114 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V0,V1), P_e_1-{F}(V1), product-{F}(V1,V1,V0), P_e_3-{F}(V2), product-{F}(V2,V1,V1) | product-{T}(V0,V1,V1)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #162: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V13, V1 == V4, V4 == V6, V6 == V11, V2 == V7, V7 == V9, V9 == V12, V12 == V14; #150 ), references = 1, size of lhs = 7:
% 1.45/1.69 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)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #216: mergings( V5 == V8, V8 == V10, V10 == V13, V13 == V18, V18 == V21, V21 == V26, V26 == V29, V29 == V31, V31 == V34, V34 == V35, V35 == V0, V0 == V38, V38 == V41, V41 == V43, V43 == V46, V46 == V47, V1 == V4, V4 == V6, V6 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V27, V27 == V32, V32 == V36, V36 == V37, V37 == V39, V39 == V44, V44 == V48, V48 == V50, V3 == V7, V7 == V9, V9 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V33, V33 == V2, V2 == V40, V40 == V42, V42 == V45, V45 == V49, V49 == V51; #166 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V1,V1,V2), P_e_2-{F}(V2), product-{F}(V2,V2,V1) | product-{T}(V0,V1,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #269: mergings( V5 == V7, V7 == V10, V10 == V12, V12 == V0, V0 == V15, V15 == V20, V20 == V23, V23 == V28, V28 == V31, V31 == V33, V33 == V38, V38 == V3, V3 == V41, V41 == V44, V44 == V46, V46 == V49, V49 == V50, V1 == V6, V6 == V8, V8 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V34, V34 == V36, V36 == V39, V39 == V40, V40 == V42, V42 == V47, V47 == V51, V51 == V53, V4 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V2, V2 == V43, V43 == V45, V45 == V48, V48 == V52, V52 == V54; #165 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V1,V1,V2), P_e_2-{F}(V2), product-{F}(V2,V2,V1) | product-{T}(V0,V1,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #293: mergings( V0 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V1 == V3, V3 == V5, V5 == V8, V8 == V13, V2 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16; #278 ), references = 1, size of lhs = 6:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), P_e_1-{F}(V1), product-{F}(V1,V1,V1), product-{F}(V0,V1,V0), P_e_3-{F}(V2) | product-{T}(V0,V0,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #313: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V13, V1 == V3, V3 == V6, V6 == V11, V11 == V14, V14 == V16, V2 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V17; #297 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_3-{F}(V2), product-{F}(V0,V1,V3), product-{F}(V0,V3,V2) | product-{T}(V1,V0,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #355: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V17, V17 == V3, V3 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V31, V31 == V35, V35 == V38, V6 == V9, V9 == V14, V14 == V1, V1 == V19, V19 == V24, V24 == V27, V27 == V29, V29 == V32, V32 == V36, V2 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V28, V28 == V30, V30 == V33, V33 == V34, V34 == V37, V37 == V39; #317 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_3-{F}(V2), product-{F}(V2,V1,V2) | product-{T}(V0,V1,V1)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #408: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V24, V24 == V3, V3 == V26, V26 == V29, V29 == V31, V31 == V34, V34 == V39, V39 == V43, V43 == V46, V46 == V47, V47 == V50, V1 == V6, V6 == V9, V9 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V27, V27 == V32, V32 == V35, V35 == V37, V37 == V40, V40 == V44, V44 == V48, V4 == V7, V7 == V2, V2 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V23, V23 == V28, V28 == V30, V30 == V33, V33 == V36, V36 == V38, V38 == V41, V41 == V42, V42 == V45, V45 == V49, V49 == V51; #358 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), P_e_1-{F}(V2), product-{F}(V2,V2,V2) | product-{T}(V0,V2,V1)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #423: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V13, V1 == V4, V4 == V6, V6 == V11, V2 == V7, V7 == V9, V9 == V12, V12 == V14; #411 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V0,V2), P_e_3-{F}(V3), product-{F}(V3,V0,V1) | product-{T}(V1,V0,V3)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #452: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V1 == V3, V3 == V6, V6 == V11, V11 == V14, V14 == V17, V2 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V19; #432 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2) | product-{T}(V1,V0,V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #470: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V1 == V3, V3 == V6, V6 == V11, V11 == V14, V14 == V17, V17 == V20, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V2; #431 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V2), product-{F}(V1,V2,V2), product-{F}(V1,V1,V2), P_e_3-{F}(V3), product-{F}(V0,V1,V3) | product-{T}(V1,V0,V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #493: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V16, V16 == V19, V19 == V22, V1 == V3, V3 == V6, V6 == V9, V9 == V12, V12 == V17, V17 == V20, V20 == V23, V2 == V7, V7 == V10, V10 == V13, V13 == V14, V14 == V18, V18 == V21, V21 == V24, V24 == V25; #434 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), P_e_3-{F}(V2), product-{F}(V1,V3,V1), product-{F}(V3,V1,V1) | product-{T}(V1,V0,V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #625: mergings( V5 == V10, V10 == V13, V13 == V17, V17 == V22, V22 == V26, V26 == V29, V29 == V34, V34 == V38, V38 == V41, V41 == V42, V42 == V46, V46 == V50, V50 == V53, V53 == V0, V0 == V55, V55 == V59, V59 == V62, V62 == V65, V65 == V69, V69 == V72, V72 == V77, V77 == V81, V81 == V85, V85 == V89, V89 == V92, V92 == V97, V97 == V101, V101 == V104, V104 == V3, V3 == V106, V106 == V110, V110 == V113, V113 == V114, V114 == V118, V6 == V8, V8 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V23, V23 == V27, V27 == V30, V30 == V32, V32 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V51, V51 == V54, V54 == V56, V56 == V60, V60 == V63, V63 == V66, V66 == V70, V70 == V73, V73 == V75, V75 == V78, V78 == V82, V82 == V86, V86 == V90, V90 == V93, V93 == V95, V95 == V98, V98 == V102, V102 == V1, V1 == V107, V107 == V111, V111 == V115, V115 == V119, V119 == V121, V2 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V16, V16 == V19, V19 == V20, V20 == V24, V24 == V25, V25 == V28, V28 == V31, V31 == V33, V33 == V36, V36 == V37, V37 == V40, V40 == V44, V44 == V45, V45 == V48, V48 == V49, V49 == V52, V52 == V57, V57 == V58, V58 == V61, V61 == V64, V64 == V67, V67 == V68, V68 == V71, V71 == V74, V74 == V76, V76 == V79, V79 == V80, V80 == V83, V83 == V84, V84 == V87, V87 == V88, V88 == V91, V91 == V94, V94 == V96, V96 == V99, V99 == V100, V100 == V103, V103 == V105, V105 == V108, V108 == V109, V109 == V112, V112 == V116, V116 == V117, V117 == V120; #504 ), references = 1, size of lhs = 6:
% 1.45/1.69 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), P_e_1-{F}(V2) | product-{T}(V2,V2,V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #723: mergings( V0 == V4, V4 == V7, V7 == V10, V10 == V12, V1 == V3, V3 == V5, V5 == V8, V8 == V13, V13 == V15, V2 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16; #707 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V0,V1,V1), P_e_1-{F}(V1), P_e_3-{F}(V2) | product-{T}(V1,V0,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #738: mergings( V0 == V4, V4 == 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; #708 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V0,V1,V2), product-{F}(V1,V2,V3), P_e_3-{F}(V3), P_e_2-{F}(V4), product-{F}(V4,V0,V4) | product-{T}(V1,V0,V3)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #771: mergings( V0 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V29, V1 == V3, V3 == V7, V7 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V27, V2 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V28, V28 == V30; #741 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V2,V1), P_e_3-{F}(V2) | product-{T}(V0,V0,V1)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #800: mergings( V0 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V29, V1 == V3, V3 == V7, V7 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V27, V27 == V30, V4 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V17, V17 == V20, V20 == V22, V22 == V25, V25 == V28, V28 == V2; #742 ), references = 1, size of lhs = 8:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), P_e_3-{F}(V2), product-{F}(V2,V1,V0) | product-{T}(V0,V0,V1)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #843: mergings( V3 == V8, V8 == V11, V11 == V0, V0 == V15, V15 == V19, V19 == V22, V22 == V24, V24 == V27, V27 == V30, V30 == V32, V32 == V36, V36 == V39, V1 == V6, V6 == V4, V4 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V28, V28 == V33, V33 == V37, V2 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V21, V21 == V23, V23 == V26, V26 == V29, V29 == V31, V31 == V34, V34 == V35, V35 == V38, V38 == V40; #804 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V2,V2,V1), P_e_3-{F}(V2) | product-{T}(V0,V1,V0)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #859: mergings( V0 == V3, V3 == V5, V5 == V10, V10 == V13, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V2 == V4, V4 == V7, V7 == V9, V9 == V12; #846 ), references = 1, size of lhs = 7:
% 1.45/1.69 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V0), P_e_3-{F}(V1), product-{F}(V0,V0,V1), P_e_2-{F}(V2) | product-{T}(V1,V0,V2)
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #970: mergings( V1 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V58, V58 == V60, V60 == V62, V62 == V64, V64 == V66, V66 == V68, V68 == V69, V69 == V71, V71 == V74, V74 == V78, V78 == V80, V80 == V82, V82 == V83, V83 == V85, V85 == V87, V87 == V89, V89 == V91, V91 == V93, V93 == V96, V96 == V97, V97 == V100, V100 == V103, V103 == V105, V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V57, V57 == V59, V59 == V61, V61 == V63, V63 == V65, V65 == V67, V67 == V70, V70 == V72, V72 == V73, V73 == V75, V75 == V76, V76 == V77, V77 == V79, V79 == V81, V81 == V84, V84 == V86, V86 == V88, V88 == V90, V90 == V92, V92 == V94, V94 == V95, V95 == V98, V98 == V99, V99 == V101, V101 == V102, V102 == V104; #866 ), references = 1, size of lhs = 4:
% 1.45/1.69 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #1023: 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, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51; #972 ), references = 1, size of lhs = 2:
% 1.45/1.69 group_element-{F}(V0), P_e_1-{F}(V0) | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 #1026: exists( #14, #1024 ), references = 1, size of lhs = 0:
% 1.45/1.69 FALSE | FALSE
% 1.45/1.69 (used 0 times, uses = {})
% 1.45/1.69
% 1.45/1.69 number of learnt formulas = 27
% 1.45/1.69
% 1.45/1.69
% 1.45/1.69 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.45/1.69
% 1.45/1.69 randbase = 1
%------------------------------------------------------------------------------