%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:03:17 EDT 2022
% Result : Unsatisfiable 1.16s 1.36s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 14:01:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.16/1.36 GeoParameters:
% 1.16/1.36
% 1.16/1.36 tptp_input = 1
% 1.16/1.36 tptp_output = 0
% 1.16/1.36 nonempty = 1
% 1.16/1.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.16/1.36
% 1.16/1.36
% 1.16/1.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36
% 1.16/1.36 RuleSystem INPUT:
% 1.16/1.36
% 1.16/1.36 Initial Rules:
% 1.16/1.36 #0: input, references = 12, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product-{T}(V0,V5,V4), product-{T}(V1,V5,V4), product-{T}(V2,V5,V4), product-{T}(V3,V5,V4)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #1: input, references = 3, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product-{T}(V5,V0,V4), product-{T}(V5,V1,V4), product-{T}(V5,V2,V4), product-{T}(V5,V3,V4)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #2: input, references = 4, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V5,V4,V6), product-{F}(V6,V4,V7) | product-{T}(V4,V7,V5)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #3: input, references = 8, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V6,V4,V7), product-{F}(V4,V7,V5) | product-{T}(V5,V4,V6)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #4: input, references = 4, size of lhs = 4:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #5: input, references = 4, size of lhs = 4:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V1)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #6: input, references = 4, size of lhs = 4:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V2)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #7: input, references = 4, size of lhs = 4:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | group_element-{T}(V3)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #8: input, references = 8, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #9: input, references = 9, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V2) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #10: input, references = 7, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V0,V3) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #11: input, references = 6, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V0) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #12: input, references = 4, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V2) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #13: input, references = 4, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #14: input, references = 5, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V0) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #15: input, references = 6, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #16: input, references = 4, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #17: input, references = 7, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V0) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #18: input, references = 6, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #19: input, references = 5, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #20: input, references = 5, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), group_element-{F}(V4), group_element-{F}(V5) | product-{T}(V5,V4,V0), product-{T}(V5,V4,V1), product-{T}(V5,V4,V2), product-{T}(V5,V4,V3)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #21: input, references = 17, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V7,V6,V4), product-{F}(V7,V6,V5) | equalish-{T}(V4,V5)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #22: input, references = 21, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V7,V4,V6), product-{F}(V7,V5,V6) | equalish-{T}(V4,V5)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #23: input, references = 6, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V4,V6,V7), product-{F}(V5,V6,V7) | equalish-{T}(V4,V5)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #24: input, references = 10, size of lhs = 5:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), #-{F} V4 | product-{T}(V4,V4,V4)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #25: input, references = 4, size of lhs = 6:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V5,V4,V6), product-{F}(V4,V7,V5) | product-{T}(V6,V4,V7)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #26: input, references = 4, size of lhs = 0:
% 1.16/1.36 FALSE | EXISTS V0: P_e_1-{T}(V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #27: input, references = 4, size of lhs = 0:
% 1.16/1.36 FALSE | EXISTS V0: P_e_2-{T}(V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #28: input, references = 5, size of lhs = 0:
% 1.16/1.36 FALSE | EXISTS V0: P_e_3-{T}(V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #29: input, references = 6, size of lhs = 0:
% 1.16/1.36 FALSE | EXISTS V0: P_e_4-{T}(V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 number of initial rules = 30
% 1.16/1.36
% 1.16/1.36 Simplifiers:
% 1.16/1.36 #30: unsound, references = 3, size of lhs = 3:
% 1.16/1.36 P_e_1-{F}(V0), P_e_1-{F}(V1), V0 == V1 | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #31: unsound, references = 3, size of lhs = 3:
% 1.16/1.36 P_e_2-{F}(V0), P_e_2-{F}(V1), V0 == V1 | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #32: unsound, references = 3, size of lhs = 3:
% 1.16/1.36 P_e_3-{F}(V0), P_e_3-{F}(V1), V0 == V1 | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #33: unsound, references = 3, size of lhs = 3:
% 1.16/1.36 P_e_4-{F}(V0), P_e_4-{F}(V1), V0 == V1 | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 number of simplifiers = 4
% 1.16/1.36
% 1.16/1.36 Learnt:
% 1.16/1.36 #48: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V7, V3 == V6, V6 == V8; #40 ), references = 1, size of lhs = 3:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V0), P_e_3-{F}(V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #55: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V7; #41 ), references = 1, size of lhs = 3:
% 1.16/1.36 P_e_1-{F}(V0), P_e_3-{F}(V0), P_e_2-{F}(V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #61: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V5; #56 ), references = 1, size of lhs = 2:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V0) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #74: mergings( V1 == V4, V4 == V7, V2 == V5, V5 == V8, V3 == V6, V6 == V8; #66 ), references = 1, size of lhs = 3:
% 1.16/1.36 P_e_1-{F}(V0), P_e_2-{F}(V1), P_e_3-{F}(V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #94: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V1 == V7, V7 == V11, V11 == V14, V14 == V17, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V3 == V5, V5 == V9, V9 == V16, V16 == V19; #77 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | product-{T}(V2,V1,V0), product-{T}(V3,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #115: mergings( V0 == V4, V4 == V6, V6 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V10, V10 == V14, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #98 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V2,V3,V0) | product-{T}(V0,V1,V0), product-{T}(V3,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #135: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V1 == V7, V7 == V11, V11 == V14, V14 == V17, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V3 == V5, V5 == V9, V9 == V16, V16 == V19; #118 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), product-{F}(V1,V1,V1), P_e_2-{F}(V2), P_e_3-{F}(V3) | product-{T}(V1,V0,V2), product-{T}(V1,V0,V3)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #172: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V25, V25 == V29, V29 == V33, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V26, V26 == V30, V30 == V34, V2 == V5, V5 == V8, V8 == V15, V15 == V19, V19 == V22, V22 == V27, V27 == V31, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V23, V23 == V28, V28 == V32, V32 == V35; #140 ), references = 1, size of lhs = 11:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V1,V2,V1), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V5), product-{F}(V5,V1,V0) | product-{T}(V1,V0,V3)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #226: mergings( V0 == V6, V6 == V10, V10 == V4, V4 == V13, V13 == V17, V17 == V21, V21 == V24, V24 == V28, V28 == V36, V36 == V40, V40 == V44, V44 == V47, V47 == V51, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V37, V37 == V41, V41 == V45, V45 == V48, V48 == V52, V2 == V8, V8 == V15, V15 == V5, V5 == V19, V19 == V26, V26 == V30, V30 == V33, V33 == V38, V38 == V42, V42 == V49, V3 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V31, V31 == V34, V34 == V39, V39 == V43, V43 == V46, V46 == V50, V50 == V53; #176 ), references = 1, size of lhs = 10:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V1,V2,V1), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V0,V3) | product-{T}(V1,V1,V0), product-{T}(V4,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #248: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V14, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #231 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V3,V4,V0), product-{F}(V4,V3,V0) | product-{T}(V2,V1,V0), product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #265: mergings( V0 == V4, V4 == V6, V6 == V10, V10 == V13, V1 == V5, V5 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #232 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3), product-{F}(V2,V3,V0), product-{F}(V3,V1,V2) | product-{T}(V0,V1,V0), product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #290: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V1 == V5, V5 == V7, V7 == V14, V14 == V21, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V25, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26; #267 ), references = 1, size of lhs = 9:
% 1.16/1.36 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V3,V4,V0), product-{F}(V4,V3,V0) | product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #334: mergings( V0 == V6, V6 == V4, V4 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V37, V1 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V24, V24 == V31, V31 == V34, V34 == V38, V38 == V41, V2 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V42, V3 == V5, V5 == V8, V8 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43; #293 ), references = 1, size of lhs = 11:
% 1.16/1.36 group_element-{F}(V0), P_e_4-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V0,V3,V1) | product-{T}(V1,V0,V1), product-{T}(V2,V0,V1)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #391: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V37, V37 == V44, V44 == V48, V5 == V9, V9 == V11, V11 == V17, V17 == V24, V24 == V31, V31 == V34, V34 == V38, V38 == V41, V41 == V45, V45 == V49, V49 == V1, V6 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V42, V42 == V46, V46 == V50, V50 == V52, V2 == V3, V3 == V7, V7 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43, V43 == V47, V47 == V51, V51 == V53; #339 ), references = 1, size of lhs = 12:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), product-{F}(V0,V1,V2), P_e_3-{F}(V3), product-{F}(V0,V3,V1) | product-{T}(V1,V0,V1)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #443: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27, V27 == V30, V30 == V37, V37 == V44, V44 == V48, V48 == V52, V1 == V5, V5 == V9, V9 == V11, V11 == V17, V17 == V24, V24 == V31, V31 == V34, V34 == V38, V38 == V41, V41 == V45, V45 == V49, V49 == V53, V6 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V42, V42 == V46, V46 == V50, V50 == V54, V2 == V3, V3 == V7, V7 == V13, V13 == V19, V19 == V22, V22 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43, V43 == V47, V47 == V51; #340 ), references = 1, size of lhs = 13:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_4-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), product-{F}(V2,V2,V2), P_e_2-{F}(V2), P_e_3-{F}(V3), product-{F}(V0,V3,V1), product-{F}(V0,V1,V4), product-{F}(V4,V2,V2) | product-{T}(V1,V0,V1)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #554: mergings( V0 == V4, V4 == V8, V8 == V11, V11 == V12, V12 == V17, V17 == V21, V21 == V24, V24 == V28, V28 == V36, V36 == V40, V40 == V44, V44 == V47, V47 == V51, V51 == V54, V54 == V57, V57 == V61, V61 == V65, V65 == V67, V67 == V71, V71 == V73, V73 == V77, V77 == V80, V80 == V87, V87 == V94, V94 == V98, V98 == V105, V105 == V109, V1 == V5, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V25, V25 == V29, V29 == V32, V32 == V37, V37 == V41, V41 == V45, V45 == V48, V48 == V52, V52 == V58, V58 == V60, V60 == V62, V62 == V68, V68 == V74, V74 == V81, V81 == V84, V84 == V88, V88 == V91, V91 == V95, V95 == V99, V99 == V102, V102 == V106, V106 == V110, V2 == V6, V6 == V14, V14 == V16, V16 == V19, V19 == V26, V26 == V30, V30 == V33, V33 == V38, V38 == V42, V42 == V49, V49 == V59, V59 == V63, V63 == V66, V66 == V69, V69 == V75, V75 == V78, V78 == V82, V82 == V85, V85 == V89, V89 == V92, V92 == V96, V96 == V100, V100 == V103, V103 == V107, V107 == V111, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V27, V27 == V31, V31 == V34, V34 == V39, V39 == V43, V43 == V46, V46 == V50, V50 == V53, V53 == V55, V55 == V56, V56 == V3, V3 == V64, V64 == V70, V70 == V72, V72 == V76, V76 == V79, V79 == V83, V83 == V86, V86 == V90, V90 == V93, V93 == V97, V97 == V101, V101 == V104, V104 == V108; #446 ), references = 1, size of lhs = 14:
% 1.16/1.36 group_element-{F}(V0), P_e_1-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V2), product-{F}(V1,V2,V1), group_element-{F}(V3), product-{F}(V3,V3,V3), P_e_4-{F}(V3), group_element-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V3,V0,V4), P_e_2-{F}(V4) | product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #684: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V22, V22 == V26, V26 == V4, V4 == V29, V29 == V32, V32 == V36, V36 == V39, V39 == V43, V43 == V51, V51 == V55, V55 == V61, V61 == V65, V65 == V67, V67 == V69, V69 == V74, V74 == V78, V78 == V80, V80 == V84, V84 == V86, V86 == V90, V90 == V93, V93 == V100, V100 == V107, V107 == V111, V111 == V117, V117 == V121, V121 == V124, V7 == V11, V11 == V14, V14 == V17, V17 == V23, V23 == V27, V27 == V33, V33 == V37, V37 == V40, V40 == V44, V44 == V47, V47 == V52, V52 == V56, V56 == V59, V59 == V62, V62 == V66, V66 == V70, V70 == V73, V73 == V75, V75 == V81, V81 == V87, V87 == V94, V94 == V97, V97 == V101, V101 == V104, V104 == V108, V108 == V112, V112 == V1, V1 == V118, V118 == V122, V122 == V125, V125 == V128, V2 == V8, V8 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V30, V30 == V31, V31 == V34, V34 == V41, V41 == V45, V45 == V48, V48 == V53, V53 == V57, V57 == V63, V63 == V71, V71 == V76, V76 == V79, V79 == V82, V82 == V88, V88 == V91, V91 == V95, V95 == V98, V98 == V102, V102 == V105, V105 == V109, V109 == V113, V113 == V115, V115 == V119, V119 == V123, V123 == V126, V126 == V129, V3 == V9, V9 == V16, V16 == V19, V19 == V25, V25 == V28, V28 == V35, V35 == V38, V38 == V42, V42 == V46, V46 == V49, V49 == V54, V54 == V58, V58 == V60, V60 == V64, V64 == V68, V68 == V5, V5 == V72, V72 == V77, V77 == V83, V83 == V85, V85 == V89, V89 == V92, V92 == V96, V96 == V99, V99 == V103, V103 == V106, V106 == V110, V110 == V114, V114 == V116, V116 == V120, V120 == V127, V127 == V130; #557 ), references = 1, size of lhs = 14:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), product-{F}(V1,V1,V1), product-{F}(V1,V1,V2), product-{F}(V1,V2,V1), group_element-{F}(V3), product-{F}(V3,V3,V3), P_e_4-{F}(V3), group_element-{F}(V4), product-{F}(V4,V4,V4), P_e_2-{F}(V4) | product-{T}(V3,V0,V1)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #707: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V2 == V5, V5 == V8, V8 == V15, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #691 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), group_element-{F}(V1), P_e_3-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_2-{F}(V3), P_e_4-{F}(V4), product-{F}(V3,V4,V0) | product-{T}(V1,V1,V0), product-{T}(V4,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #726: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V1 == V5, V5 == V7, V7 == V14, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #710 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), group_element-{F}(V1), P_e_2-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_3-{F}(V3), P_e_4-{F}(V4), product-{F}(V4,V3,V0) | product-{T}(V1,V1,V0), product-{T}(V3,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #746: mergings( V0 == V5, V5 == V6, V6 == V10, V10 == V13, V1 == V4, V4 == V7, V7 == V14, V14 == V17, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V3 == V9, V9 == V12, V12 == V16, V16 == V19; #729 ), references = 1, size of lhs = 8:
% 1.16/1.36 group_element-{F}(V0), P_e_2-{F}(V0), product-{F}(V0,V0,V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), P_e_3-{F}(V2), P_e_4-{F}(V3) | product-{T}(V2,V1,V0), product-{T}(V3,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #770: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V7 == V11, V11 == V14, V14 == V18, V18 == V1, V2 == V8, V8 == V12, V12 == V15, V15 == V19, V19 == V22, V3 == V5, V5 == V9, V9 == V16, V16 == V20, V20 == V23; #750 ), references = 1, size of lhs = 9:
% 1.16/1.36 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_2-{F}(V3), P_e_3-{F}(V4), product-{F}(V0,V3,V5), product-{F}(V5,V1,V1) | product-{T}(V4,V1,V0), product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #807: mergings( V0 == V3, V3 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V29, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V26, V26 == V30, V30 == V33, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V27, V27 == V31, V31 == V1, V2 == V4, V4 == V8, V8 == V15, V15 == V19, V19 == V23, V23 == V28, V28 == V32, V32 == V34; #775 ), references = 1, size of lhs = 10:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_1-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_2-{F}(V2), product-{F}(V0,V2,V3), product-{F}(V3,V1,V1), P_e_3-{F}(V4), product-{F}(V1,V0,V4) | product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #838: mergings( V0 == V5, V5 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V25, V25 == V29, V29 == V33, V6 == V10, V10 == V13, V13 == V17, V17 == V21, V21 == V26, V26 == V30, V30 == V34, V1 == V7, V7 == V11, V11 == V14, V14 == V18, V18 == V22, V22 == V27, V27 == V31, V31 == V35, V2 == V4, V4 == V8, V8 == V15, V15 == V19, V19 == V23, V23 == V28, V28 == V32; #776 ), references = 1, size of lhs = 11:
% 1.16/1.36 group_element-{F}(V0), group_element-{F}(V1), P_e_4-{F}(V1), P_e_1-{F}(V2), product-{F}(V2,V2,V0), P_e_2-{F}(V3), product-{F}(V0,V3,V4), product-{F}(V4,V1,V1), P_e_3-{F}(V5), product-{F}(V1,V0,V6), product-{F}(V6,V5,V5) | product-{T}(V1,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #902: mergings( V0 == V6, V6 == V10, V10 == V13, V13 == V20, V20 == V24, V24 == V5, V5 == V27, V27 == V31, V31 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V50, V50 == V57, V1 == V4, V4 == V7, V7 == V14, V14 == V17, V17 == V21, V21 == V28, V28 == V32, V32 == V35, V35 == V39, V39 == V47, V47 == V51, V51 == V54, V54 == V58, V58 == V61, V2 == V8, V8 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V29, V29 == V33, V33 == V36, V36 == V40, V40 == V43, V43 == V48, V48 == V52, V52 == V55, V55 == V59, V59 == V62, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V25, V25 == V26, V26 == V30, V30 == V37, V37 == V41, V41 == V44, V44 == V49, V49 == V53, V53 == V56, V56 == V60, V60 == V63; #842 ), references = 1, size of lhs = 13:
% 1.16/1.36 group_element-{F}(V0), product-{F}(V0,V0,V0), P_e_2-{F}(V0), group_element-{F}(V1), product-{F}(V1,V1,V1), P_e_1-{F}(V1), group_element-{F}(V2), P_e_4-{F}(V2), product-{F}(V2,V2,V2), product-{F}(V3,V2,V2), product-{F}(V3,V1,V4), product-{F}(V2,V1,V4), P_e_3-{F}(V4) | product-{T}(V2,V1,V0)
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #1054: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V27, V27 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V45, V45 == V49, V49 == V52, V52 == V56, V56 == V59, V59 == V62, V62 == V65, V65 == V67, V67 == V70, V70 == V71, V71 == V75, V75 == V79, V79 == V84, V84 == V87, V87 == V92, V92 == V97, V97 == V102, V102 == V106, V106 == V110, V110 == V113, V113 == V118, V118 == V121, V121 == V124, V124 == V126, V126 == V129, V129 == V133, V133 == V138, V138 == V141, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V39, V39 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V50, V50 == V53, V53 == V55, V55 == V57, V57 == V60, V60 == V63, V63 == V68, V68 == V72, V72 == V76, V76 == V80, V80 == V82, V82 == V85, V85 == V88, V88 == V90, V90 == V93, V93 == V95, V95 == V98, V98 == V100, V100 == V101, V101 == V103, V103 == V107, V107 == V111, V111 == V114, V114 == V116, V116 == V119, V119 == V122, V122 == V127, V127 == V130, V130 == V132, V132 == V134, V134 == V136, V136 == V139, V2 == V4, V4 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V34, V34 == V37, V37 == V40, V40 == V44, V44 == V47, V47 == V51, V51 == V54, V54 == V58, V58 == V61, V61 == V64, V64 == V66, V66 == V69, V69 == V73, V73 == V74, V74 == V77, V77 == V78, V78 == V81, V81 == V83, V83 == V86, V86 == V89, V89 == V91, V91 == V94, V94 == V96, V96 == V99, V99 == V104, V104 == V105, V105 == V108, V108 == V109, V109 == V112, V112 == V115, V115 == V117, V117 == V120, V120 == V123, V123 == V125, V125 == V128, V128 == V131, V131 == V135, V135 == V137, V137 == V140, V140 == V142; #914 ), references = 1, size of lhs = 3:
% 1.16/1.36 P_e_2-{F}(V0), P_e_1-{F}(V1), P_e_3-{F}(V2) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #1145: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V25, V25 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V55, V55 == V57, V57 == V60, V60 == V63, V63 == V67, V67 == V69, V69 == V71, V71 == V73, V73 == V76, V76 == V78, V78 == V80, V80 == V81, V81 == V83, V83 == V86, V86 == V89, V89 == V91, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V54, V54 == V56, V56 == V58, V58 == V59, V59 == V61, V61 == V62, V62 == V64, V64 == V65, V65 == V66, V66 == V68, V68 == V70, V70 == V72, V72 == V74, V74 == V75, V75 == V77, V77 == V79, V79 == V82, V82 == V84, V84 == V85, V85 == V87, V87 == V88, V88 == V90; #1055 ), references = 1, size of lhs = 2:
% 1.16/1.36 P_e_2-{F}(V0), P_e_1-{F}(V1) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #1187: 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; #1146 ), references = 1, size of lhs = 1:
% 1.16/1.36 P_e_1-{F}(V0) | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 #1189: exists( #26, #1146 ), references = 1, size of lhs = 0:
% 1.16/1.36 FALSE | FALSE
% 1.16/1.36 (used 0 times, uses = {})
% 1.16/1.36
% 1.16/1.36 number of learnt formulas = 28
% 1.16/1.36
% 1.16/1.36
% 1.16/1.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.36
% 1.16/1.36 randbase = 1
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