TSTP Solution File: GRP130-1.003 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP130-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.00/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.30 % Computer : n019.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Jul 22 14:09:52 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.47/0.64 GeoParameters:
% 0.47/0.64
% 0.47/0.64 tptp_input = 1
% 0.47/0.64 tptp_output = 0
% 0.47/0.64 nonempty = 1
% 0.47/0.64 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 RuleSystem INPUT:
% 0.47/0.64
% 0.47/0.64 Initial Rules:
% 0.47/0.64 #0: input, references = 4, size of lhs = 1:
% 0.47/0.64 P_e_1-{F}(V0) | group_element-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #1: input, references = 4, size of lhs = 2:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1) | group_element-{T}(V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #2: input, references = 4, size of lhs = 3:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2) | group_element-{T}(V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #3: input, references = 11, size of lhs = 4:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #4: input, references = 6, size of lhs = 4:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #5: input, references = 8, size of lhs = 4:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #6: input, references = 9, size of lhs = 4:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #7: input, references = 6, size of lhs = 4:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #8: input, references = 4, size of lhs = 4:
% 0.47/0.64 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), equalish-{F}(V2,V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #9: input, references = 15, size of lhs = 5:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #10: input, references = 11, size of lhs = 5:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #11: input, references = 8, size of lhs = 5:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #12: input, references = 16, size of lhs = 5:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #13: input, references = 15, size of lhs = 5:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #14: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #15: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #16: input, references = 5, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of initial rules = 17
% 0.47/0.64
% 0.47/0.64 Simplifiers:
% 0.47/0.64 #17: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #18: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #19: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of simplifiers = 3
% 0.47/0.64
% 0.47/0.64 Learnt:
% 0.47/0.64 #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:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #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:
% 0.47/0.64 group_element-{F}(V0), P_e_1-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #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:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #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:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #107: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V13, V1 == V4, V4 == V6, V6 == V11, V2 == V7, V7 == V9, V9 == V12, V12 == V14; #95 ), references = 1, size of lhs = 7:
% 0.47/0.64 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)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #124: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V10, V1 == V3, V3 == V6, V6 == V11, V11 == V13, V2 == V7, V7 == V9, V9 == V12, V12 == V14; #111 ), references = 1, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V0), P_e_1-{F}(V1), product-{F}(V0,V0,V2), P_e_3-{F}(V2) | product-{T}(V1,V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #159: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V24, V1 == V4, V4 == V6, V6 == V10, V10 == V3, V3 == V13, V13 == V18, V18 == V22, V22 == V25, V25 == V27, V7 == V9, V9 == V2, V2 == V14, V14 == V16, V16 == V19, V19 == V20, V20 == V23, V23 == V26, V26 == V28; #131 ), references = 1, size of lhs = 7:
% 0.47/0.64 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,V0), P_e_3-{F}(V2) | product-{T}(V0,V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #186: mergings( V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V18, V18 == V22, V22 == V25, V1 == V4, V4 == V6, V6 == V11, V11 == V3, V3 == V14, V14 == V19, V19 == V23, V23 == V26, V26 == V28, V7 == V9, V9 == V15, V15 == V17, V17 == V20, V20 == V21, V21 == V24, V24 == V27, V27 == V2; #132 ), references = 1, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V1,V1), product-{F}(V1,V1,V0), P_e_1-{F}(V1), P_e_3-{F}(V2) | product-{T}(V0,V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #211: mergings( V0 == V3, V3 == V6, V6 == V11, V11 == V14, V1 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V17, V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V18; #192 ), references = 1, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V0), P_e_1-{F}(V1), P_e_3-{F}(V2) | product-{T}(V1,V0,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #228: mergings( V0 == 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; #191 ), references = 1, size of lhs = 8:
% 0.47/0.64 group_element-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V1,V2), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V2,V0,V4), product-{F}(V2,V4,V2) | product-{T}(V1,V0,V3)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #246: 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; #194 ), references = 1, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), P_e_1-{F}(V1), product-{F}(V1,V2,V0), P_e_3-{F}(V3) | product-{T}(V1,V0,V3)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #328: mergings( V4 == V7, V7 == V10, V10 == V0, V0 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V28, V28 == V29, V29 == V32, V32 == V34, V34 == V38, V38 == V41, V41 == V47, V47 == V48, V48 == V51, V51 == V56, V56 == V59, V59 == V64, V64 == V67, V67 == V70, V1 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V35, V35 == V39, V39 == V42, V42 == V44, V44 == V46, V46 == V49, V49 == V52, V52 == V54, V54 == V57, V57 == V60, V60 == V62, V62 == V65, V65 == V68, V3 == V6, V6 == V9, V9 == V2, V2 == V15, V15 == V17, V17 == V20, V20 == V24, V24 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V36, V36 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V50, V50 == V53, V53 == V55, V55 == V58, V58 == V61, V61 == V63, V63 == V66, V66 == V69, V69 == V71; #257 ), references = 3, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V1), P_e_1-{F}(V2) | product-{T}(V0,V2,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #398: mergings( V4 == V7, V7 == V10, V10 == V0, V0 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V23, V23 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V39, V39 == V42, V42 == V48, V48 == V49, V49 == V52, V52 == V57, V57 == V60, V60 == V65, V65 == V68, V1 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V19, V19 == V24, V24 == V27, V27 == V31, V31 == V36, V36 == V40, V40 == V43, V43 == V45, V45 == V47, V47 == V50, V50 == V53, V53 == V55, V55 == V58, V58 == V61, V61 == V63, V63 == V66, V66 == V69, V69 == V71, V3 == V6, V6 == V9, V9 == V15, V15 == V17, V17 == V20, V20 == V25, V25 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V37, V37 == V38, V38 == V41, V41 == V44, V44 == V46, V46 == V51, V51 == V54, V54 == V56, V56 == V59, V59 == V62, V62 == V64, V64 == V67, V67 == V70, V70 == V2; #258 ), references = 1, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V1), P_e_1-{F}(V2) | product-{T}(V0,V2,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #419: mergings( V5 == V8, V8 == V0, V0 == V14, V14 == V17, V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V15, V2 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18; #404 ), references = 3, size of lhs = 8:
% 0.47/0.64 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V0,V2,V1), product-{F}(V1,V2,V0), P_e_1-{F}(V3), product-{F}(V1,V3,V0), P_e_3-{F}(V4) | product-{T}(V1,V0,V4)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #459: mergings( V3 == V0, V0 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V23, V23 == V26, V26 == V29, V4 == V8, V8 == V10, V10 == V1, V1 == V12, V12 == V15, V15 == V20, V20 == V24, V24 == V27, V2 == V5, V5 == V6, V6 == V9, V9 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V25, V25 == V28, V28 == V30; #429 ), references = 1, size of lhs = 6:
% 0.47/0.64 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-{T}(V2,V1,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #485: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V6 == V9, V9 == V1, V1 == V11, V11 == V14, V2 == V7, V7 == V4, V4 == V12, V12 == V15, V15 == V16; #469 ), references = 1, size of lhs = 8:
% 0.47/0.64 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V1,V0,V2), P_e_3-{F}(V2) | product-{T}(V2,V0,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #500: mergings( V0 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V6 == V9, V9 == V1, V1 == V11, V11 == V14, V2 == V7, V7 == V4, V4 == V12, V12 == V15; #470 ), references = 1, size of lhs = 8:
% 0.47/0.64 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V1,V0,V2), P_e_3-{F}(V2) | product-{T}(V2,V0,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #529: mergings( V0 == V5, V5 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V3, V3 == V24, V6 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V19, V19 == V22, V22 == V1, V1 == V25, V25 == V27, V2 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V17, V17 == V20, V20 == V23, V23 == V26; #503 ), references = 1, size of lhs = 7:
% 0.47/0.64 group_element-{F}(V0), P_e_3-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), group_element-{F}(V2), product-{F}(V1,V2,V0), P_e_1-{F}(V2) | product-{T}(V2,V2,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #571: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V37, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V36, V36 == V38; #534 ), references = 1, size of lhs = 4:
% 0.47/0.64 group_element-{F}(V0), P_e_2-{F}(V0), group_element-{F}(V1), P_e_1-{F}(V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #593: 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; #573 ), references = 1, size of lhs = 2:
% 0.47/0.64 group_element-{F}(V0), P_e_1-{F}(V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #596: exists( #14, #594 ), references = 1, size of lhs = 0:
% 0.47/0.64 FALSE | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of learnt formulas = 21
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 randbase = 1
%------------------------------------------------------------------------------