TSTP Solution File: GRP497-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:03:59 EDT 2022
% Result : Unsatisfiable 9.13s 9.34s
% Output : Refutation 9.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 14:39:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.13/9.34 GeoParameters:
% 9.13/9.34
% 9.13/9.34 tptp_input = 1
% 9.13/9.34 tptp_output = 0
% 9.13/9.34 nonempty = 1
% 9.13/9.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.13/9.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 9.13/9.34
% 9.13/9.34
% 9.13/9.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.13/9.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.13/9.34
% 9.13/9.34 RuleSystem INPUT:
% 9.13/9.34
% 9.13/9.34 Initial Rules:
% 9.13/9.34 #0: input, references = 11, size of lhs = 9:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V2,V0,V4), P_double_divide-{F}(V1,V4,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V3,V1,V7), P_double_divide-{F}(V2,V7,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V6,V9,V10), V10 == V3 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #1: input, references = 5, size of lhs = 5:
% 9.13/9.34 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_double_divide-{F}(V2,V1,V4), P_double_divide-{F}(V4,V0,V5), V3 == V5 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #2: input, references = 4, size of lhs = 4:
% 9.13/9.34 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #3: input, references = 4, size of lhs = 4:
% 9.13/9.34 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #4: input, references = 4, size of lhs = 3:
% 9.13/9.34 P_identity-{F}(V0), P_a2-{F}(V1), P_multiply-{F}(V0,V1,V1) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #5: input, references = 11, size of lhs = 2:
% 9.13/9.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #6: input, references = 4, size of lhs = 0:
% 9.13/9.34 FALSE | EXISTS V0: P_identity-{T}(V0)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #7: input, references = 15, size of lhs = 2:
% 9.13/9.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #8: input, references = 8, size of lhs = 1:
% 9.13/9.34 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #9: input, references = 4, size of lhs = 0:
% 9.13/9.34 FALSE | EXISTS V0: P_a2-{T}(V0)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 number of initial rules = 10
% 9.13/9.34
% 9.13/9.34 Simplifiers:
% 9.13/9.34 #10: unsound, references = 3, size of lhs = 3:
% 9.13/9.34 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #11: unsound, references = 3, size of lhs = 3:
% 9.13/9.34 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #12: unsound, references = 3, size of lhs = 3:
% 9.13/9.34 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #13: unsound, references = 3, size of lhs = 3:
% 9.13/9.34 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #14: unsound, references = 3, size of lhs = 3:
% 9.13/9.34 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 number of simplifiers = 5
% 9.13/9.34
% 9.13/9.34 Learnt:
% 9.13/9.34 #17: exists( #5, #2 ), references = 28, size of lhs = 2:
% 9.13/9.34 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #18: exists( #5, #3 ), references = 21, size of lhs = 2:
% 9.13/9.34 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #23: exists( #8, #21 ), references = 1, size of lhs = 5:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V1,V2,V0), P_double_divide-{F}(V3,V0,V2), V0 == V3 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #31: exists( #8, #29 ), references = 20, size of lhs = 3:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #44: mergings( V3 == V4, V4 == V5; #41 ), references = 3, size of lhs = 8:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V1,V6,V5), P_double_divide-{F}(V7,V3,V6), V0 == V7, P_double_divide-{F}(V8,V9,V5) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #46: exists( #7, #1 ), references = 1, size of lhs = 3:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #49: exists( #5, #0 ), references = 17, size of lhs = 7:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V3,V7), P_double_divide-{F}(V1,V7,V8), P_double_divide-{F}(V8,V0,V9) | P_double_divide-{T}(V5,V9,V6)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #57: exists( #8, #55 ), references = 1, size of lhs = 1:
% 9.13/9.34 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #71: mergings( V3 == V4, V4 == V5, V5 == V6; #67 ), references = 5, size of lhs = 13:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V10,V7,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V5,V13,V14), V14 == V10 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #76: mergings( V3 == V4, V4 == V5, V5 == V6; #72 ), references = 3, size of lhs = 13:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V3,V1), P_double_divide-{F}(V5,V4,V6), P_double_divide-{F}(V2,V6,V7), P_double_divide-{F}(V8,V9,V7), P_double_divide-{F}(V10,V7,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V5,V13,V14), V14 == V10 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #99: mergings( V2 == V3; #95 ), references = 4, size of lhs = 12:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V1,V10,V11), P_double_divide-{F}(V9,V0,V12), P_double_divide-{F}(V8,V12,V13), V13 == V11 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #101: mergings( V2 == V3; #96 ), references = 2, size of lhs = 16:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V2), P_double_divide-{F}(V10,V13,V0), P_double_divide-{F}(V14,V12,V13), P_double_divide-{F}(V14,V9,V15), V15 == V8, P_double_divide-{F}(V16,V17,V0) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #103: mergings( V2 == V3; #97 ), references = 2, size of lhs = 16:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V2), P_double_divide-{F}(V10,V13,V0), P_double_divide-{F}(V14,V12,V13), P_double_divide-{F}(V14,V9,V15), V15 == V8, P_double_divide-{F}(V16,V17,V0) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #108: mergings( V3 == V4; #104 ), references = 12, size of lhs = 10:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V1,V10,V11), P_double_divide-{F}(V9,V0,V12) | P_double_divide-{T}(V8,V12,V11)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #110: mergings( V3 == V4; #105 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V2), P_double_divide-{F}(V10,V13,V0), P_double_divide-{F}(V14,V12,V13), P_double_divide-{F}(V15,V16,V0) | P_double_divide-{T}(V14,V9,V8)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #112: mergings( V3 == V4; #106 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V12,V11,V2), P_double_divide-{F}(V10,V13,V0), P_double_divide-{F}(V14,V12,V13), P_double_divide-{F}(V15,V16,V0) | P_double_divide-{T}(V14,V9,V8)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #139: mergings( V3 == V4, V4 == V5, V5 == V6; #134 ), references = 2, size of lhs = 17:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V6,V9,V0), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V5), P_double_divide-{F}(V12,V15,V9), P_double_divide-{F}(V16,V14,V15), P_double_divide-{F}(V8,V17,V16), P_double_divide-{F}(V18,V4,V17), V0 == V18 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #143: mergings( V3 == V4, V4 == V5, V5 == V6; #135 ), references = 2, size of lhs = 19:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V6,V9,V0), P_double_divide-{F}(V10,V11,V9), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V13,V5), P_double_divide-{F}(V12,V15,V9), P_double_divide-{F}(V16,V14,V15), P_double_divide-{F}(V17,V4,V18), P_double_divide-{F}(V8,V18,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V16,V20,V21), V21 == V17 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #182: mergings( V3 == V4, V4 == V5, V5 == V6; #176 ), references = 2, size of lhs = 19:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V5), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V9,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V5), P_double_divide-{F}(V17,V20,V16), P_double_divide-{F}(V21,V19,V20), V12 == V21 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #205: exists( #5, #99 ), references = 4, size of lhs = 10:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V9,V0,V11), P_double_divide-{F}(V8,V11,V12) | P_double_divide-{T}(V1,V10,V12)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #206: exists( #5, #101 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V2), P_double_divide-{F}(V9,V12,V0), P_double_divide-{F}(V13,V11,V12), P_double_divide-{F}(V13,V8,V14), P_double_divide-{F}(V15,V16,V0) | P_double_divide-{T}(V3,V7,V14)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #207: exists( #5, #103 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V5,V4,V1), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V6,V0,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V2), P_double_divide-{F}(V9,V12,V0), P_double_divide-{F}(V13,V11,V12), P_double_divide-{F}(V13,V8,V14), P_double_divide-{F}(V15,V16,V0) | P_double_divide-{T}(V3,V7,V14)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #231: mergings( V3 == V4; #229 ), references = 1, size of lhs = 18:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V6,V0), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V10,V5), P_double_divide-{F}(V12,V11,V13), P_double_divide-{F}(V9,V13,V14), P_double_divide-{F}(V15,V16,V14), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V5), P_double_divide-{F}(V17,V20,V14), P_double_divide-{F}(V21,V19,V20), V12 == V21 | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #260: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V3 == V8; #254 ), references = 1, size of lhs = 7:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), V0 == V1, P_double_divide-{F}(V3,V2,V4), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #343: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V3 == V8; #337 ), references = 3, size of lhs = 9:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V0), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V3,V6,V7), V7 == V1, P_double_divide-{F}(V8,V9,V4) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #350: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V3 == V8; #344 ), references = 3, size of lhs = 7:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V0), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V8,V4) | P_double_divide-{T}(V3,V6,V1)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #388: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V10, V3 == V4, V4 == V5, V5 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #374 ), references = 1, size of lhs = 20:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V7,V2), P_double_divide-{F}(V9,V8,V10), P_double_divide-{F}(V6,V10,V11), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V9,V0,V15), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V17,V9,V3), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V12,V18,V19), P_double_divide-{F}(V0,V19,V14), P_double_divide-{F}(V16,V20,V3), P_double_divide-{F}(V21,V3,V20) | P_multiply-{T}(V5,V4,V21)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #403: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V12 == V13, V13 == V14, V14 == V15, V15 == V4, V3 == V5, V5 == V6, V6 == V11, V30 == V32, V11 == V4, V4 == V16; #375 ), references = 1, size of lhs = 21:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V2,V3), P_double_divide-{F}(V6,V0,V7), P_double_divide-{F}(V8,V3,V1), P_double_divide-{F}(V9,V10,V3), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V12,V5), P_double_divide-{F}(V2,V13,V14), P_double_divide-{F}(V11,V14,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V16,V0,V18), P_double_divide-{F}(V18,V0,V16), P_double_divide-{F}(V16,V7,V19), P_double_divide-{F}(V0,V19,V20) | P_multiply-{T}(V10,V9,V8)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #418: mergings( V8 == V9, V9 == V10, V10 == V11, V11 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V13, V28 == V30; #376 ), references = 4, size of lhs = 27:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V4), P_double_divide-{F}(V5,V8,V0), P_double_divide-{F}(V9,V8,V0), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V11,V7,V12), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V12), P_double_divide-{F}(V15,V16,V8), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V18,V10), P_double_divide-{F}(V17,V20,V14), P_double_divide-{F}(V21,V19,V20), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V23,V0,V22), P_double_divide-{F}(V24,V21,V8), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V12,V25,V26), P_double_divide-{F}(V0,V26,V27), P_double_divide-{F}(V28,V29,V8) | P_multiply-{T}(V16,V15,V23)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #449: mergings( V14 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V13 == V16, V16 == V20, V27 == V34; #438 ), references = 1, size of lhs = 27:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V4), P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V6), P_double_divide-{F}(V11,V0,V8), P_double_divide-{F}(V12,V6,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V12,V0,V18), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V17,V20,V0), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V8,V20,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V26,V25,V6), P_double_divide-{F}(V12,V26,V27), P_double_divide-{F}(V24,V27,V11) | P_double_divide-{T}(V21,V12,V6)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #459: mergings( V6 == V7, V7 == V8, V15 == V17, V17 == V21, V3 == V4, V4 == V5, V5 == V8, V14 == V21, V28 == V35; #439 ), references = 1, size of lhs = 27:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V4), P_double_divide-{F}(V5,V7,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V6), P_double_divide-{F}(V11,V0,V8), P_double_divide-{F}(V12,V6,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V12,V0,V18), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V17,V20,V0), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V8,V20,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V26,V25,V6), P_double_divide-{F}(V12,V26,V27), P_double_divide-{F}(V24,V27,V11) | P_double_divide-{T}(V21,V12,V6)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #468: mergings( V14 == V16, V3 == V4, V13 == V16, V26 == V32, V4 == V5, V5 == V6, V6 == V7, V36 == V37; #440 ), references = 1, size of lhs = 32:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V3,V0,V2), P_double_divide-{F}(V0,V4,V3), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V6,V4), P_double_divide-{F}(V8,V0,V6), P_double_divide-{F}(V8,V7,V9), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V9), P_double_divide-{F}(V12,V6,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V0,V15,V16), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V12,V0,V18), P_double_divide-{F}(V17,V19,V0), P_double_divide-{F}(V9,V19,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V22,V0,V19), P_double_divide-{F}(V0,V23,V22), P_double_divide-{F}(V0,V24,V23), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V0,V26,V25), P_double_divide-{F}(V12,V27,V26), P_double_divide-{F}(V28,V0,V27), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V31,V30,V6), P_double_divide-{F}(V12,V31,V32), P_double_divide-{F}(V29,V32,V11) | P_double_divide-{T}(V22,V12,V27)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #534: mergings( V3 == V4, V4 == V5; #531 ), references = 1, size of lhs = 20:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V0,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V9,V0), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V11,V5,V10), P_double_divide-{F}(V12,V11,V8), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V14,V15,V9), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V17,V6), P_double_divide-{F}(V16,V19,V9), P_double_divide-{F}(V20,V18,V19), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V21,V13,V22) | P_multiply-{T}(V15,V14,V22)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #594: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V3 == V4, V4 == V9; #586 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V7,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V12,V8,V3), P_double_divide-{F}(V13,V12,V0), V11 == V13, P_double_divide-{F}(V14,V15,V12) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #601: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V3 == V4, V4 == V9; #587 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V7,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V12,V8,V3), P_double_divide-{F}(V13,V12,V0), V11 == V13, P_double_divide-{F}(V14,V15,V12) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #610: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V3 == V4, V4 == V9; #602 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V7,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V12,V8,V3), P_double_divide-{F}(V13,V12,V0), V11 == V13, P_double_divide-{F}(V14,V15,V12) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #617: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V3 == V4, V4 == V9; #603 ), references = 1, size of lhs = 14:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V0,V7,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V12,V8,V3), P_double_divide-{F}(V13,V12,V0), V11 == V13, P_double_divide-{F}(V14,V15,V12) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #641: mergings( V6 == V11, V11 == V7, V8 == V7, V9 == V7, V10 == V7, V7 == V12, V12 == V13, V13 == V14, V3 == V4, V4 == V5, V5 == V14, V14 == V15, V15 == V16; #626 ), references = 2, size of lhs = 7:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V8,V3) | P_multiply-{T}(V6,V5,V4)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #655: mergings( V6 == V11, V11 == V7, V8 == V7, V9 == V7, V10 == V7, V7 == V12, V12 == V13, V13 == V14, V3 == V4, V4 == V5, V5 == V14, V14 == V15, V15 == V16; #627 ), references = 1, size of lhs = 7:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V1,V3,V0), P_double_divide-{F}(V4,V3,V0), P_double_divide-{F}(V5,V6,V3), P_double_divide-{F}(V7,V8,V3) | P_multiply-{T}(V6,V5,V4)
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #676: exists( #8, #674 ), references = 1, size of lhs = 3:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a2-{F}(V1) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #678: exists( #9, #675 ), references = 1, size of lhs = 2:
% 9.13/9.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0) | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 #682: exists( #6, #680 ), references = 1, size of lhs = 0:
% 9.13/9.34 FALSE | FALSE
% 9.13/9.34 (used 0 times, uses = {})
% 9.13/9.34
% 9.13/9.34 number of learnt formulas = 42
% 9.13/9.34
% 9.13/9.34
% 9.13/9.34 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.13/9.34
% 9.13/9.34 randbase = 1
%------------------------------------------------------------------------------