TSTP Solution File: GRP589-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP589-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:04:10 EDT 2022
% Result : Unsatisfiable 1.36s 1.53s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP589-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 13:45:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.36/1.53 GeoParameters:
% 1.36/1.53
% 1.36/1.53 tptp_input = 1
% 1.36/1.53 tptp_output = 0
% 1.36/1.53 nonempty = 1
% 1.36/1.53 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.53 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.36/1.53
% 1.36/1.53
% 1.36/1.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.53
% 1.36/1.53 RuleSystem INPUT:
% 1.36/1.53
% 1.36/1.53 Initial Rules:
% 1.36/1.53 #0: input, references = 10, size of lhs = 8:
% 1.36/1.53 P_double_divide-{F}(V0,V1,V3), P_inverse-{F}(V2,V4), P_double_divide-{F}(V0,V4,V5), P_inverse-{F}(V5,V6), P_double_divide-{F}(V3,V6,V7), P_inverse-{F}(V7,V8), P_double_divide-{F}(V8,V1,V9), V9 == V2 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #1: input, references = 6, size of lhs = 4:
% 1.36/1.53 P_multiply-{F}(V0,V1,V2), P_double_divide-{F}(V1,V0,V3), P_inverse-{F}(V3,V4), V2 == V4 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #2: input, references = 6, size of lhs = 6:
% 1.36/1.53 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
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #3: input, references = 15, size of lhs = 2:
% 1.36/1.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #4: input, references = 11, size of lhs = 1:
% 1.36/1.53 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #5: input, references = 12, size of lhs = 2:
% 1.36/1.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #6: input, references = 4, size of lhs = 0:
% 1.36/1.53 FALSE | EXISTS V0: P_a1-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #7: input, references = 4, size of lhs = 0:
% 1.36/1.53 FALSE | EXISTS V0: P_b1-{T}(V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 number of initial rules = 8
% 1.36/1.53
% 1.36/1.53 Simplifiers:
% 1.36/1.53 #8: unsound, references = 3, size of lhs = 3:
% 1.36/1.53 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #9: unsound, references = 3, size of lhs = 3:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #10: unsound, references = 3, size of lhs = 3:
% 1.36/1.53 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #11: unsound, references = 3, size of lhs = 3:
% 1.36/1.53 P_a1-{F}(V0), P_a1-{F}(V1), V0 == V1 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #12: unsound, references = 3, size of lhs = 3:
% 1.36/1.53 P_b1-{F}(V0), P_b1-{F}(V1), V0 == V1 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 number of simplifiers = 5
% 1.36/1.53
% 1.36/1.53 Learnt:
% 1.36/1.53 #14: exists( #5, #2 ), references = 1, size of lhs = 3:
% 1.36/1.53 P_a1-{F}(V0), P_b1-{F}(V0), P_inverse-{F}(V0,V1) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #16: exists( #4, #13 ), references = 1, size of lhs = 2:
% 1.36/1.53 P_a1-{F}(V0), P_b1-{F}(V0) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #18: exists( #5, #1 ), references = 4, size of lhs = 2:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V3,V0) | P_multiply-{T}(V3,V2,V1)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #20: exists( #4, #1 ), references = 15, size of lhs = 2:
% 1.36/1.53 P_multiply-{F}(V0,V1,V2), P_double_divide-{F}(V1,V0,V3) | P_inverse-{T}(V3,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #24: exists( #3, #0 ), references = 9, size of lhs = 6:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V4,V7), P_inverse-{F}(V7,V8) | P_double_divide-{T}(V8,V5,V0)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #27: exists( #3, #25 ), references = 3, size of lhs = 13:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V4,V7), P_inverse-{F}(V7,V8), P_inverse-{F}(V9,V8), P_double_divide-{F}(V10,V5,V11), P_double_divide-{F}(V11,V12,V9), P_inverse-{F}(V13,V12), P_double_divide-{F}(V10,V14,V13), P_inverse-{F}(V15,V14), V0 == V15 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #29: exists( #4, #26 ), references = 3, size of lhs = 11:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V8,V5,V9), P_double_divide-{F}(V9,V10,V7), P_inverse-{F}(V11,V10), P_double_divide-{F}(V8,V12,V11), P_inverse-{F}(V13,V12), V0 == V13 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #31: exists( #3, #28 ), references = 3, size of lhs = 9:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V4), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V8,V6,V7), P_double_divide-{F}(V8,V9,V5), P_inverse-{F}(V10,V9), V0 == V10 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #34: exists( #4, #31 ), references = 2, size of lhs = 7:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V6,V4,V5), P_double_divide-{F}(V6,V7,V3), P_inverse-{F}(V8,V7), V0 == V8 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #36: exists( #3, #33 ), references = 1, size of lhs = 4:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), V0 == V2, P_double_divide-{F}(V3,V4,V5) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #49: mergings( V4 == V5; #47 ), references = 1, size of lhs = 11:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V1,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_double_divide-{F}(V4,V8,V9), P_double_divide-{F}(V9,V6,V10), P_double_divide-{F}(V3,V8,V11), V11 == V7, P_double_divide-{F}(V12,V13,V10) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #52: mergings( V4 == V5; #50 ), references = 2, size of lhs = 9:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V1,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_double_divide-{F}(V4,V8,V9), P_double_divide-{F}(V3,V8,V10), V10 == V7 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #55: mergings( V4 == V5; #53 ), references = 13, size of lhs = 6:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7) | P_double_divide-{T}(V3,V7,V6)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #76: mergings( V4 == V5, V5 == V6, V10 == V14; #72 ), references = 2, size of lhs = 13:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V9,V10,V8), P_inverse-{F}(V11,V12), P_double_divide-{F}(V11,V1,V13), P_inverse-{F}(V13,V14), P_double_divide-{F}(V14,V12,V15), V15 == V5 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #81: mergings( V4 == V5, V5 == V6, V10 == V14; #77 ), references = 4, size of lhs = 11:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V9,V10,V8), P_inverse-{F}(V11,V12), P_double_divide-{F}(V11,V1,V13), P_inverse-{F}(V13,V14) | P_double_divide-{T}(V14,V12,V5)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #91: mergings( V12 == V13; #88 ), references = 2, size of lhs = 16:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V8,V9,V7), P_inverse-{F}(V10,V11), P_double_divide-{F}(V0,V11,V12), P_inverse-{F}(V12,V13), P_double_divide-{F}(V13,V5,V14), P_double_divide-{F}(V15,V11,V16), P_inverse-{F}(V16,V17), P_double_divide-{F}(V18,V17,V7), P_double_divide-{F}(V15,V19,V18), P_inverse-{F}(V20,V19), V14 == V20 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #94: mergings( V4 == V5, V10 == V14; #89 ), references = 1, size of lhs = 15:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V8,V5,V9), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V13,V2), P_inverse-{F}(V14,V15), P_double_divide-{F}(V14,V7,V16), P_inverse-{F}(V16,V17), P_double_divide-{F}(V17,V15,V18), V18 == V6 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #111: mergings( V0 == V1, V4 == V5, V5 == V6, V1 == V8, V8 == V17, V3 == V17, V6 == V17, V17 == V12, V12 == V13, V13 == V11, V9 == V14, V14 == V15; #97 ), references = 2, size of lhs = 5:
% 1.36/1.53 P_inverse-{F}(V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_inverse-{F}(V3,V4) | P_double_divide-{T}(V0,V0,V3)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #134: exists( #3, #52 ), references = 3, size of lhs = 7:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V4,V1,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V8), P_double_divide-{F}(V4,V8,V9) | P_double_divide-{T}(V3,V8,V7)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #147: exists( #5, #143 ), references = 1, size of lhs = 11:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V7,V9), V6 == V9, P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V8,V12,V13), P_double_divide-{F}(V3,V12,V13) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #148: exists( #5, #144 ), references = 1, size of lhs = 11:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V8,V7,V9), V6 == V9, P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V8,V12,V13), P_double_divide-{F}(V3,V12,V13) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #151: exists( #3, #145 ), references = 1, size of lhs = 8:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V10,V8,V9) | P_double_divide-{T}(V10,V7,V6)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #152: exists( #3, #146 ), references = 1, size of lhs = 8:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V3,V8,V9), P_double_divide-{F}(V10,V8,V9) | P_double_divide-{T}(V10,V7,V6)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #210: exists( #5, #204 ), references = 1, size of lhs = 17:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V3,V6,V3), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_inverse-{F}(V12,V13), P_double_divide-{F}(V9,V13,V14), P_double_divide-{F}(V14,V11,V15), P_double_divide-{F}(V15,V8,V16), P_inverse-{F}(V16,V17), P_double_divide-{F}(V17,V6,V18), V18 == V12, P_double_divide-{F}(V19,V20,V15) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #211: exists( #5, #205 ), references = 1, size of lhs = 13:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V3,V6,V3), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V9,V6,V12), P_double_divide-{F}(V12,V11,V13), V7 == V13, P_double_divide-{F}(V14,V15,V13) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #212: exists( #5, #206 ), references = 1, size of lhs = 13:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V3,V6,V3), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V9,V6,V12), P_double_divide-{F}(V12,V11,V13), V7 == V13, P_double_divide-{F}(V14,V15,V13) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #215: exists( #3, #208 ), references = 4, size of lhs = 10:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V3,V6,V3), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V9,V6,V12) | P_double_divide-{T}(V12,V11,V7)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #216: exists( #3, #209 ), references = 1, size of lhs = 10:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V3,V6,V3), P_inverse-{F}(V7,V8), P_double_divide-{F}(V9,V8,V10), P_inverse-{F}(V10,V11), P_double_divide-{F}(V9,V6,V12) | P_double_divide-{T}(V12,V11,V7)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #232: mergings( V9 == V12, V12 == V14, V13 == V8; #226 ), references = 1, size of lhs = 21:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V7,V4,V8), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V9,V10,V8), P_inverse-{F}(V11,V12), P_double_divide-{F}(V11,V12,V13), P_inverse-{F}(V13,V14), P_double_divide-{F}(V14,V12,V15), P_inverse-{F}(V15,V16), P_double_divide-{F}(V14,V17,V14), P_double_divide-{F}(V6,V18,V19), V19 == V5, P_double_divide-{F}(V20,V1,V21), P_inverse-{F}(V21,V22), P_double_divide-{F}(V22,V17,V23), P_double_divide-{F}(V23,V18,V22), P_double_divide-{F}(V24,V25,V20) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #235: mergings( V16 == V18, V15 == V17; #227 ), references = 1, size of lhs = 25:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_double_divide-{F}(V5,V6,V7), P_inverse-{F}(V7,V8), P_double_divide-{F}(V8,V6,V9), P_inverse-{F}(V9,V10), P_double_divide-{F}(V8,V11,V8), P_inverse-{F}(V12,V13), P_double_divide-{F}(V14,V13,V15), P_inverse-{F}(V15,V16), P_double_divide-{F}(V14,V17,V18), P_double_divide-{F}(V18,V16,V19), V12 == V19, P_inverse-{F}(V19,V20), P_double_divide-{F}(V2,V20,V21), P_double_divide-{F}(V21,V4,V22), P_double_divide-{F}(V19,V20,V22), P_double_divide-{F}(V23,V24,V22), P_double_divide-{F}(V25,V1,V26), P_inverse-{F}(V26,V27), P_double_divide-{F}(V27,V11,V28), P_double_divide-{F}(V28,V17,V27), P_double_divide-{F}(V29,V30,V25) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #240: mergings( V9 == V12, V12 == V14, V13 == V8, V8 == V15; #228 ), references = 1, size of lhs = 25:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V2,V1,V3), P_inverse-{F}(V3,V4), P_inverse-{F}(V5,V6), P_double_divide-{F}(V5,V6,V7), P_inverse-{F}(V7,V8), P_double_divide-{F}(V8,V6,V9), P_inverse-{F}(V9,V10), P_double_divide-{F}(V8,V11,V8), P_inverse-{F}(V12,V13), P_double_divide-{F}(V14,V13,V15), P_inverse-{F}(V15,V16), P_double_divide-{F}(V14,V17,V18), P_double_divide-{F}(V18,V16,V19), V12 == V19, P_inverse-{F}(V19,V20), P_double_divide-{F}(V2,V20,V21), P_double_divide-{F}(V21,V4,V22), P_double_divide-{F}(V19,V20,V22), P_double_divide-{F}(V23,V24,V22), P_double_divide-{F}(V25,V1,V26), P_inverse-{F}(V26,V27), P_double_divide-{F}(V27,V11,V28), P_double_divide-{F}(V28,V17,V27), P_double_divide-{F}(V29,V30,V25) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #247: mergings( V4 == V6; #245 ), references = 2, size of lhs = 17:
% 1.36/1.53 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), P_inverse-{F}(V4,V3), P_double_divide-{F}(V5,V3,V5), P_inverse-{F}(V6,V5), P_double_divide-{F}(V7,V3,V7), P_inverse-{F}(V8,V7), P_inverse-{F}(V9,V10), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V7,V10,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V14), P_double_divide-{F}(V13,V14,V6), P_double_divide-{F}(V5,V14,V15), P_inverse-{F}(V15,V16) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #257: mergings( V4 == V8; #255 ), references = 1, size of lhs = 10:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_inverse-{F}(V2,V3), P_double_divide-{F}(V3,V1,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_double_divide-{F}(V3,V7,V8), P_inverse-{F}(V8,V9), P_double_divide-{F}(V10,V9,V2), V10 == V6 | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #258: exists( #4, #253 ), references = 1, size of lhs = 5:
% 1.36/1.53 P_inverse-{F}(V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V0), P_multiply-{F}(V0,V0,V4) | P_inverse-{T}(V3,V4)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #267: mergings( V8 == V11, V11 == V13, V10 == V12, V12 == V7; #262 ), references = 2, size of lhs = 7:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V3,V1,V2), P_double_divide-{F}(V4,V5,V2), P_inverse-{F}(V6,V7), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V3,V7,V8) | P_multiply-{T}(V5,V4,V2)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #284: mergings( V4 == V6; #281 ), references = 1, size of lhs = 17:
% 1.36/1.53 P_a1-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_b1-{F}(V3), P_inverse-{F}(V4,V2), P_double_divide-{F}(V5,V2,V5), P_inverse-{F}(V6,V5), P_double_divide-{F}(V7,V2,V7), P_inverse-{F}(V8,V7), P_inverse-{F}(V9,V10), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V7,V10,V11), P_inverse-{F}(V11,V12), P_inverse-{F}(V13,V14), P_double_divide-{F}(V13,V14,V6), P_double_divide-{F}(V5,V14,V15), P_inverse-{F}(V15,V16) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #287: mergings( V9 == V11, V10 == V12; #282 ), references = 1, size of lhs = 27:
% 1.36/1.53 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V3,V4), P_inverse-{F}(V4,V5), P_double_divide-{F}(V5,V3,V6), P_inverse-{F}(V6,V7), P_double_divide-{F}(V5,V8,V5), P_inverse-{F}(V9,V8), P_double_divide-{F}(V10,V8,V10), P_inverse-{F}(V11,V10), P_double_divide-{F}(V12,V8,V12), P_inverse-{F}(V13,V12), P_double_divide-{F}(V14,V8,V14), P_inverse-{F}(V15,V14), P_inverse-{F}(V16,V17), P_double_divide-{F}(V16,V17,V11), P_double_divide-{F}(V10,V17,V18), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V21), P_double_divide-{F}(V20,V21,V15), P_double_divide-{F}(V14,V21,V22), P_inverse-{F}(V22,V23), P_inverse-{F}(V24,V25), P_double_divide-{F}(V24,V25,V13), P_double_divide-{F}(V12,V25,V26), P_inverse-{F}(V26,V27) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #303: mergings( V1 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #297 ), references = 1, size of lhs = 4:
% 1.36/1.53 P_a1-{F}(V0), P_b1-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #305: exists( #4, #297 ), references = 1, size of lhs = 2:
% 1.36/1.53 P_a1-{F}(V0), P_b1-{F}(V1) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #307: exists( #7, #304 ), references = 1, size of lhs = 1:
% 1.36/1.53 P_a1-{F}(V0) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #309: exists( #6, #306 ), references = 1, size of lhs = 0:
% 1.36/1.53 FALSE | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 number of learnt formulas = 41
% 1.36/1.53
% 1.36/1.53
% 1.36/1.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.53
% 1.36/1.53 randbase = 1
%------------------------------------------------------------------------------