TSTP Solution File: GRP557-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:04:06 EDT 2022
% Result : Unsatisfiable 1.82s 2.03s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 14:15:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.82/2.03 GeoParameters:
% 1.82/2.03
% 1.82/2.03 tptp_input = 1
% 1.82/2.03 tptp_output = 0
% 1.82/2.03 nonempty = 1
% 1.82/2.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.82/2.03
% 1.82/2.03
% 1.82/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03
% 1.82/2.03 RuleSystem INPUT:
% 1.82/2.03
% 1.82/2.03 Initial Rules:
% 1.82/2.03 #0: input, references = 11, size of lhs = 6:
% 1.82/2.03 P_divide-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V0,V6,V7), V7 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1: input, references = 6, size of lhs = 4:
% 1.82/2.03 P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #2: input, references = 6, size of lhs = 6:
% 1.82/2.03 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V5), P_b1-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V4,V3,V5) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #3: input, references = 22, size of lhs = 2:
% 1.82/2.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #4: input, references = 17, size of lhs = 1:
% 1.82/2.03 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #5: input, references = 13, size of lhs = 2:
% 1.82/2.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #6: input, references = 4, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_a1-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #7: input, references = 4, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_b1-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of initial rules = 8
% 1.82/2.03
% 1.82/2.03 Simplifiers:
% 1.82/2.03 #8: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #9: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #10: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #11: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #12: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_b1-{F}(V0), P_b1-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of simplifiers = 5
% 1.82/2.03
% 1.82/2.03 Learnt:
% 1.82/2.03 #14: exists( #3, #1 ), references = 47, size of lhs = 2:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #17: exists( #5, #15 ), references = 11, size of lhs = 5:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V6,V4), P_divide-{F}(V7,V6,V3) | P_multiply-{T}(V5,V0,V7)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #21: exists( #5, #1 ), references = 3, size of lhs = 2:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #28: mergings( V1 == V0; #26 ), references = 1, size of lhs = 3:
% 1.82/2.03 P_a1-{F}(V0), P_b1-{F}(V0), P_inverse-{F}(V0,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #30: exists( #4, #26 ), references = 1, size of lhs = 2:
% 1.82/2.03 P_a1-{F}(V0), P_b1-{F}(V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #45: exists( #4, #43 ), references = 1, size of lhs = 7:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V4,V6,V7), P_divide-{F}(V5,V2,V8), V8 == V5 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #47: exists( #3, #44 ), references = 2, size of lhs = 6:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V5,V2,V7), V7 == V5 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #51: mergings( V6 == V5; #49 ), references = 17, size of lhs = 5:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V2), P_divide-{F}(V2,V2,V3), P_inverse-{F}(V3,V1), #-{F} V4 | P_multiply-{T}(V4,V0,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #61: exists( #4, #59 ), references = 4, size of lhs = 7:
% 1.82/2.03 P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V0,V6,V7), P_divide-{F}(V8,V7,V5), P_divide-{F}(V9,V6,V8), V3 == V9 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #75: mergings( V4 == V5; #73 ), references = 4, size of lhs = 3:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V2) | P_inverse-{T}(V1,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #83: exists( #5, #81 ), references = 4, size of lhs = 5:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V2), P_divide-{F}(V3,V4,V5), P_divide-{F}(V6,V4,V7) | P_multiply-{T}(V6,V0,V6)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #96: exists( #4, #90 ), references = 2, size of lhs = 6:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V2,V1,V3), V2 == V3, P_divide-{F}(V0,V4,V5), P_divide-{F}(V2,V4,V6) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #103: exists( #5, #97 ), references = 1, size of lhs = 5:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V3,V1), P_divide-{F}(V2,V4,V5), P_divide-{F}(V3,V4,V6) | P_multiply-{T}(V3,V0,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #128: exists( #4, #124 ), references = 5, size of lhs = 10:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_divide-{F}(V4,V8,V9), P_divide-{F}(V6,V10,V11), P_divide-{F}(V11,V12,V1), P_divide-{F}(V13,V10,V12), V9 == V13 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #129: exists( #4, #125 ), references = 4, size of lhs = 11:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V9,V10,V1), P_divide-{F}(V11,V8,V10), P_divide-{F}(V11,V12,V13), P_divide-{F}(V14,V13,V7), P_divide-{F}(V15,V12,V14), V4 == V15 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #133: exists( #3, #128 ), references = 1, size of lhs = 4:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V0), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V3,V1) | P_divide-{T}(V1,V1,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #146: exists( #5, #144 ), references = 12, size of lhs = 9:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V5,V6), P_divide-{F}(V5,V7,V8), P_divide-{F}(V4,V7,V9), P_divide-{F}(V3,V10,V11), P_divide-{F}(V11,V12,V6), P_divide-{F}(V13,V10,V12) | P_multiply-{T}(V4,V0,V13)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #152: mergings( V9 == V11, V3 == V4; #149 ), references = 1, size of lhs = 11:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V4), P_divide-{F}(V5,V5,V4), P_divide-{F}(V5,V6,V7), P_divide-{F}(V8,V7,V2), P_divide-{F}(V8,V6,V7), P_divide-{F}(V9,V7,V4), V9 == V7, P_divide-{F}(V3,V10,V11), P_divide-{F}(V9,V10,V12) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #155: mergings( V3 == V5; #153 ), references = 2, size of lhs = 9:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V3,V4), P_divide-{F}(V5,V4,V6), P_divide-{F}(V7,V4,V1), V7 == V4, P_divide-{F}(V0,V8,V9), P_divide-{F}(V7,V8,V10) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #166: exists( #3, #61 ), references = 1, size of lhs = 5:
% 1.82/2.03 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V3,V2), P_divide-{F}(V4,V1,V5), P_divide-{F}(V6,V3,V5), V4 == V6 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #169: exists( #5, #167 ), references = 3, size of lhs = 6:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_divide-{F}(V4,V1,V5), P_divide-{F}(V4,V6,V5), P_divide-{F}(V7,V6,V3), V7 == V2 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #182: mergings( V4 == V9; #180 ), references = 3, size of lhs = 6:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V1,V4), V4 == V2, P_divide-{F}(V2,V5,V6), P_divide-{F}(V3,V6,V7) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #202: mergings( V3 == V4, V9 == V11; #199 ), references = 1, size of lhs = 9:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V1), P_divide-{F}(V5,V4,V6), P_divide-{F}(V7,V6,V2), P_divide-{F}(V7,V8,V6), P_inverse-{F}(V7,V9), P_divide-{F}(V3,V9,V10), V10 == V5 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #216: mergings( V3 == V4, V6 == V12; #212 ), references = 1, size of lhs = 12:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_divide-{F}(V4,V3,V7), P_divide-{F}(V8,V3,V5), V8 == V3, P_divide-{F}(V3,V9,V10), P_divide-{F}(V4,V10,V11), P_divide-{F}(V6,V12,V13), P_divide-{F}(V8,V12,V14) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #222: mergings( V3 == V4, V4 == V6, V11 == V9, V12 == V15, V13 == V19; #213 ), references = 1, size of lhs = 13:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_divide-{F}(V5,V6,V4), P_divide-{F}(V6,V6,V7), P_divide-{F}(V8,V5,V7), P_divide-{F}(V8,V9,V3), V9 == V6, P_divide-{F}(V8,V10,V9), P_divide-{F}(V6,V9,V11), P_divide-{F}(V5,V12,V9), P_divide-{F}(V6,V13,V9) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #226: mergings( V2 == V9; #223 ), references = 2, size of lhs = 10:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V0,V4), P_divide-{F}(V0,V3,V5), P_divide-{F}(V6,V3,V1), V6 == V3, P_divide-{F}(V3,V7,V8), P_divide-{F}(V0,V8,V9), P_divide-{F}(V2,V10,V11), P_divide-{F}(V6,V10,V12) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #230: mergings( V5 == V9, V2 == V6, V3 == V13; #224 ), references = 1, size of lhs = 9:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V0,V3), P_divide-{F}(V4,V2,V1), P_divide-{F}(V4,V5,V3), V5 == V0, P_divide-{F}(V4,V6,V5), P_divide-{F}(V0,V5,V7), P_divide-{F}(V2,V8,V5), P_divide-{F}(V0,V9,V5) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #236: mergings( V4 == V7; #234 ), references = 3, size of lhs = 6:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V2,V4,V3), V2 == V4, P_divide-{F}(V4,V2,V5), P_divide-{F}(V4,V6,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #250: mergings( V3 == V4, V8 == V6; #245 ), references = 1, size of lhs = 11:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V1,V4,V5), P_divide-{F}(V3,V3,V6), P_divide-{F}(V7,V7,V6), P_divide-{F}(V3,V8,V2), V5 == V8, P_divide-{F}(V3,V9,V8), P_divide-{F}(V7,V10,V11), P_divide-{F}(V1,V10,V12) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #253: mergings( V3 == V4, V7 == V9; #246 ), references = 1, size of lhs = 8:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V1,V1,V2), P_inverse-{F}(V3,V1), P_divide-{F}(V1,V4,V2), V1 == V4, P_divide-{F}(V5,V4,V3), P_divide-{F}(V5,V6,V4), P_inverse-{F}(V7,V5) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #256: mergings( V3 == V4, V8 == V6; #247 ), references = 1, size of lhs = 8:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V1,V4,V5), P_divide-{F}(V1,V3,V6), P_divide-{F}(V3,V7,V2), V5 == V7, P_divide-{F}(V3,V8,V7) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #259: exists( #3, #236 ), references = 2, size of lhs = 5:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V2,V4,V3), V2 == V4, P_divide-{F}(V4,V5,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #265: mergings( V3 == V4, V8 == V6; #262 ), references = 1, size of lhs = 8:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V4,V5,V2), P_divide-{F}(V4,V6,V5), P_divide-{F}(V7,V7,V8), V7 == V5, P_divide-{F}(V7,V5,V8) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #268: mergings( V3 == V6; #266 ), references = 1, size of lhs = 6:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V3,V4), P_divide-{F}(V5,V5,V6), V5 == V3, P_divide-{F}(V5,V3,V6) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #290: exists( #4, #287 ), references = 1, size of lhs = 11:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V6,V7,V1), V4 == V7, P_divide-{F}(V8,V8,V9), P_divide-{F}(V8,V10,V11), P_divide-{F}(V7,V10,V12), P_divide-{F}(V6,V13,V14), P_divide-{F}(V4,V13,V15), P_divide-{F}(V14,V15,V9) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #293: mergings( V8 == V6; #291 ), references = 1, size of lhs = 7:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V4,V6,V1), V4 == V6, P_divide-{F}(V4,V7,V8), P_divide-{F}(V6,V8,V9) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #297: mergings( V6 == V8; #295 ), references = 1, size of lhs = 7:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V2,V3), P_divide-{F}(V4,V5,V3), V4 == V5, P_divide-{F}(V4,V6,V1), P_divide-{F}(V2,V7,V8), P_divide-{F}(V4,V7,V9) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #312: mergings( V3 == V4, V4 == V6, V9 == V13, V13 == V14; #307 ), references = 1, size of lhs = 10:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_divide-{F}(V5,V6,V3), P_divide-{F}(V5,V7,V4), V6 == V7, P_divide-{F}(V6,V7,V8), P_divide-{F}(V5,V9,V7), P_divide-{F}(V5,V10,V7) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #316: mergings( V2 == V7, V7 == V8; #313 ), references = 1, size of lhs = 6:
% 1.82/2.03 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V3,V2), V1 == V3, P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V5,V3), P_divide-{F}(V0,V6,V3) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #321: mergings( V4 == V7, V7 == V8; #318 ), references = 1, size of lhs = 6:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V2,V4,V1), P_divide-{F}(V2,V1,V5), P_divide-{F}(V2,V6,V5), V6 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #330: exists( #3, #96 ), references = 2, size of lhs = 4:
% 1.82/2.03 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V2,V3,V5) | P_divide-{T}(V2,V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #332: exists( #3, #0 ), references = 7, size of lhs = 4:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V3) | P_divide-{T}(V6,V1,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #347: mergings( V3 == V6; #343 ), references = 2, size of lhs = 8:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V2), P_divide-{F}(V2,V2,V3), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V4,V6,V8), P_divide-{F}(V7,V8,V9) | P_inverse-{T}(V9,V4)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #350: mergings( V3 == V6, V11 == V10; #344 ), references = 1, size of lhs = 9:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V2), P_divide-{F}(V2,V2,V3), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_divide-{F}(V5,V1,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V5,V6,V8), P_divide-{F}(V7,V8,V9) | P_inverse-{T}(V9,V5)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #352: mergings( V3 == V6; #345 ), references = 1, size of lhs = 9:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V2), P_divide-{F}(V2,V2,V3), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V7,V5,V8), P_divide-{F}(V6,V8,V9), P_divide-{F}(V7,V10,V1) | P_inverse-{T}(V9,V7)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #375: mergings( V4 == V7, V7 == V8; #371 ), references = 2, size of lhs = 7:
% 1.82/2.03 P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V0,V1), P_divide-{F}(V1,V1,V2), P_inverse-{F}(V2,V0), P_inverse-{F}(V3,V0), P_divide-{F}(V0,V4,V5), P_divide-{F}(V6,V4,V7) | P_divide-{T}(V7,V5,V6)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #378: mergings( V4 == V7, V10 == V8; #372 ), references = 1, size of lhs = 11:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V2), P_divide-{F}(V2,V2,V3), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V1,V4), P_divide-{F}(V4,V4,V5), P_divide-{F}(V1,V6,V7), P_divide-{F}(V7,V8,V5), P_divide-{F}(V9,V6,V8), P_divide-{F}(V9,V10,V11), P_divide-{F}(V12,V10,V13) | P_divide-{T}(V13,V11,V12)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #388: mergings( V9 == V11, V8 == V4; #385 ), references = 2, size of lhs = 12:
% 1.82/2.03 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), P_divide-{F}(V3,V4,V3), P_inverse-{F}(V5,V4), P_divide-{F}(V6,V4,V6), P_divide-{F}(V6,V6,V7), P_inverse-{F}(V7,V4), P_divide-{F}(V0,V8,V9), P_divide-{F}(V3,V8,V10), P_divide-{F}(V9,V10,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #407: mergings( V3 == V5, V5 == V7; #404 ), references = 1, size of lhs = 5:
% 1.82/2.03 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_inverse-{F}(V4,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #431: mergings( V8 == V11, V6 == V12; #427 ), references = 1, size of lhs = 18:
% 1.82/2.03 P_a1-{F}(V0), P_b1-{F}(V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V4,V1), P_divide-{F}(V5,V2,V4), P_divide-{F}(V5,V6,V5), P_divide-{F}(V7,V6,V7), P_divide-{F}(V7,V7,V8), P_inverse-{F}(V8,V6), P_inverse-{F}(V9,V6), P_divide-{F}(V5,V10,V5), P_inverse-{F}(V11,V10), P_divide-{F}(V12,V10,V12), P_divide-{F}(V12,V12,V13), P_inverse-{F}(V13,V10), P_divide-{F}(V0,V14,V15), P_divide-{F}(V5,V14,V16), P_divide-{F}(V15,V16,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #434: mergings( V9 == V11, V8 == V4; #428 ), references = 1, size of lhs = 12:
% 1.82/2.03 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_b1-{F}(V3), P_divide-{F}(V2,V4,V2), P_inverse-{F}(V5,V4), P_divide-{F}(V6,V4,V6), P_divide-{F}(V6,V6,V7), P_inverse-{F}(V7,V4), P_divide-{F}(V3,V8,V9), P_divide-{F}(V2,V8,V10), P_divide-{F}(V9,V10,V3) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #458: exists( #3, #454 ), references = 1, size of lhs = 2:
% 1.82/2.03 P_a1-{F}(V0), P_b1-{F}(V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #460: exists( #7, #456 ), references = 1, size of lhs = 1:
% 1.82/2.03 P_a1-{F}(V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #462: exists( #6, #459 ), references = 1, size of lhs = 0:
% 1.82/2.03 FALSE | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of learnt formulas = 54
% 1.82/2.03
% 1.82/2.03
% 1.82/2.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03
% 1.82/2.03 randbase = 1
%------------------------------------------------------------------------------