TSTP Solution File: GRP488-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:03:58 EDT 2022
% Result : Unsatisfiable 3.60s 3.76s
% Output : Refutation 3.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% 0.02/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 13:39:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.60/3.76 GeoParameters:
% 3.60/3.76
% 3.60/3.76 tptp_input = 1
% 3.60/3.76 tptp_output = 0
% 3.60/3.76 nonempty = 1
% 3.60/3.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/3.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.60/3.76
% 3.60/3.76
% 3.60/3.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/3.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/3.76
% 3.60/3.76 RuleSystem INPUT:
% 3.60/3.76
% 3.60/3.76 Initial Rules:
% 3.60/3.76 #0: input, references = 14, size of lhs = 9:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V4), P_double_divide-{F}(V2,V3,V5), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V2,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V1,V9,V10), V10 == V3 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #1: input, references = 5, size of lhs = 5:
% 3.60/3.76 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
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #2: input, references = 4, size of lhs = 4:
% 3.60/3.76 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #3: input, references = 4, size of lhs = 4:
% 3.60/3.76 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #4: input, references = 4, size of lhs = 3:
% 3.60/3.76 P_identity-{F}(V0), P_a2-{F}(V1), P_multiply-{F}(V0,V1,V1) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #5: input, references = 15, size of lhs = 2:
% 3.60/3.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #6: input, references = 4, size of lhs = 0:
% 3.60/3.76 FALSE | EXISTS V0: P_identity-{T}(V0)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #7: input, references = 16, size of lhs = 2:
% 3.60/3.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #8: input, references = 8, size of lhs = 1:
% 3.60/3.76 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #9: input, references = 4, size of lhs = 0:
% 3.60/3.76 FALSE | EXISTS V0: P_a2-{T}(V0)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 number of initial rules = 10
% 3.60/3.76
% 3.60/3.76 Simplifiers:
% 3.60/3.76 #10: unsound, references = 3, size of lhs = 3:
% 3.60/3.76 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #11: unsound, references = 3, size of lhs = 3:
% 3.60/3.76 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #12: unsound, references = 3, size of lhs = 3:
% 3.60/3.76 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #13: unsound, references = 3, size of lhs = 3:
% 3.60/3.76 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #14: unsound, references = 3, size of lhs = 3:
% 3.60/3.76 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 number of simplifiers = 5
% 3.60/3.76
% 3.60/3.76 Learnt:
% 3.60/3.76 #17: exists( #5, #2 ), references = 28, size of lhs = 2:
% 3.60/3.76 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V0,V2)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #18: exists( #5, #3 ), references = 16, size of lhs = 2:
% 3.60/3.76 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #23: exists( #8, #21 ), references = 25, size of lhs = 3:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #30: exists( #7, #1 ), references = 1, size of lhs = 3:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V4,V1) | P_multiply-{T}(V4,V3,V2)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #37: exists( #5, #0 ), references = 13, size of lhs = 7:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V8,V0,V9) | P_double_divide-{T}(V1,V9,V7)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #45: mergings( V6 == V7, V3 == V4; #42 ), references = 2, size of lhs = 10:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V1,V6), P_double_divide-{F}(V7,V8,V6), P_double_divide-{F}(V9,V3,V10), P_double_divide-{F}(V2,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V9,V6) | P_multiply-{T}(V8,V7,V3)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #63: mergings( V3 == V4, V4 == V5, V5 == V6; #59 ), references = 1, size of lhs = 8:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V2,V5,V6), V6 == V0, P_double_divide-{F}(V7,V8,V3) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #68: mergings( V3 == V4, V4 == V5, V5 == V6; #64 ), references = 1, size of lhs = 8:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V2,V5,V6), V6 == V0, P_double_divide-{F}(V7,V8,V3) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #73: mergings( V3 == V4, V4 == V5, V5 == V6; #69 ), references = 5, size of lhs = 6:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V1,V3,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V6,V7,V3) | P_double_divide-{T}(V2,V5,V0)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #92: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V12, V9 == V11, V14 == V15, V16 == V20, V17 == V21, V18 == V22; #79 ), references = 1, size of lhs = 8:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V1), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9) | P_multiply-{T}(V3,V2,V1)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #102: mergings( V2 == V3, V3 == V4, V4 == V0; #98 ), references = 1, size of lhs = 2:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V0) | P_inverse-{T}(V0,V0)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #126: mergings( V3 == V4, V4 == V5, V6 == V7; #122 ), references = 2, size of lhs = 10:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V6,V7,V4), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V1,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V8,V4) | P_multiply-{T}(V7,V6,V5)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #151: mergings( V6 == V9, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V9 == V11; #144 ), references = 1, size of lhs = 6:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V0,V3,V1), V1 == V3, P_double_divide-{F}(V4,V5,V1) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #156: mergings( V2 == V3, V3 == V0; #153 ), references = 1, size of lhs = 1:
% 3.60/3.76 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #174: mergings( V3 == V4, V4 == V5; #171 ), references = 3, size of lhs = 13:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V11,V5,V12), P_double_divide-{F}(V2,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V11,V15), P_double_divide-{F}(V16,V17,V15) | P_multiply-{T}(V17,V16,V10)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #183: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #178 ), references = 4, size of lhs = 17:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V11,V5,V12), P_double_divide-{F}(V2,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V16,V10,V18), P_double_divide-{F}(V17,V19,V15), P_double_divide-{F}(V11,V20,V19), V18 == V20 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #220: exists( #5, #183 ), references = 8, size of lhs = 15:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V11,V5,V12), P_double_divide-{F}(V2,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V18,V15), P_double_divide-{F}(V11,V19,V18) | P_double_divide-{T}(V16,V10,V19)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #230: mergings( V2 == V3, V3 == V4, V5 == V4, V4 == V6; #225 ), references = 2, size of lhs = 21:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V0), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V5,V6,V7), P_double_divide-{F}(V0,V7,V8), P_double_divide-{F}(V8,V1,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V4,V10,V11), P_double_divide-{F}(V12,V6,V3), P_double_divide-{F}(V12,V13,V14), P_double_divide-{F}(V0,V13,V15), P_inverse-{F}(V16,V14), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V0,V17), P_double_divide-{F}(V19,V20,V11), P_double_divide-{F}(V15,V19,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V18,V22,V23), V23 == V20 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #250: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6, V12 == V13, V6 == V7, V7 == V8, V8 == V9, V11 == V13, V13 == V9, V9 == V14; #238 ), references = 1, size of lhs = 27:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V3,V4,V0), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V0,V5,V7), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V6,V0,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V0,V14,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V0,V16,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V19,V8,V20), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V21,V18,V22), P_double_divide-{F}(V23,V22,V4), P_double_divide-{F}(V23,V24,V22), V0 == V24, P_double_divide-{F}(V25,V26,V20) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #286: mergings( V6 == V7, V3 == V4; #282 ), references = 2, size of lhs = 12:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V6,V7,V3), P_double_divide-{F}(V5,V6,V8), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V2,V11,V12), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V13,V14,V8), P_double_divide-{F}(V14,V15,V11), V7 == V15 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #289: mergings( V6 == V7, V3 == V4; #283 ), references = 1, size of lhs = 24:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V5,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V8,V14,V15), P_double_divide-{F}(V16,V10,V7), P_double_divide-{F}(V16,V17,V4), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V19,V20,V15), P_double_divide-{F}(V18,V19,V21), P_double_divide-{F}(V22,V23,V21), P_double_divide-{F}(V2,V24,V25), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V26,V27,V21), P_double_divide-{F}(V27,V28,V24), V28 == V20 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #294: mergings( V6 == V7, V3 == V4; #290 ), references = 3, size of lhs = 9:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V3,V4), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V2,V7,V6), P_double_divide-{F}(V8,V9,V3), P_double_divide-{F}(V8,V10,V7), V9 == V10 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #297: mergings( V6 == V7, V3 == V4; #291 ), references = 1, size of lhs = 21:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V2,V0,V3), P_inverse-{F}(V3,V4), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V6,V7,V0), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V10,V11), P_double_divide-{F}(V0,V11,V12), P_double_divide-{F}(V12,V5,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V8,V14,V15), P_double_divide-{F}(V16,V10,V7), P_double_divide-{F}(V16,V17,V4), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V0,V19,V18), P_double_divide-{F}(V2,V20,V19), P_double_divide-{F}(V21,V22,V15), P_double_divide-{F}(V21,V23,V20), V23 == V22 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #313: exists( #5, #183 ), references = 3, size of lhs = 15:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V11,V5,V12), P_double_divide-{F}(V2,V12,V13), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V14,V10,V16), P_double_divide-{F}(V15,V17,V13), P_double_divide-{F}(V11,V18,V17), V16 == V18 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #315: exists( #5, #312 ), references = 2, size of lhs = 15:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V6), P_double_divide-{F}(V0,V6,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V3,V9,V10), P_double_divide-{F}(V11,V5,V12), P_double_divide-{F}(V2,V12,V13), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V14,V10,V16), P_double_divide-{F}(V15,V17,V13), P_double_divide-{F}(V11,V18,V17), V16 == V18 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #328: mergings( V0 == V7, V11 == V13, V3 == V4, V4 == V7, V5 == V8, V7 == V6, V6 == V9; #320 ), references = 2, size of lhs = 15:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V1,V1,V0), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V5,V2), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V0,V4), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V11,V12,V8), P_double_divide-{F}(V12,V13,V9), V13 == V7 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #335: mergings( V3 == V4, V4 == V5; #332 ), references = 2, size of lhs = 21:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V1,V1,V0), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V4,V6,V1), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V2,V7), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V5,V10,V9), P_double_divide-{F}(V11,V10,V12), P_double_divide-{F}(V3,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V14), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V20,V16), P_double_divide-{F}(V20,V21,V17), V21 == V11 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #344: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #339 ), references = 1, size of lhs = 24:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V2,V2,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V3,V5,V2), P_double_divide-{F}(V6,V0,V5), P_double_divide-{F}(V7,V1,V6), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V4,V9,V8), P_double_divide-{F}(V10,V9,V11), P_double_divide-{F}(V12,V0,V11), P_multiply-{F}(V13,V14,V11), P_double_divide-{F}(V14,V13,V15), P_double_divide-{F}(V16,V11,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V16,V15), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V23,V15), P_double_divide-{F}(V23,V24,V20), V24 == V10 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #383: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9, V9 == V7; #374 ), references = 2, size of lhs = 19:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V11,V4,V13), P_double_divide-{F}(V0,V14,V13), P_double_divide-{F}(V15,V16,V12), P_double_divide-{F}(V17,V13,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V20,V17,V12) | P_multiply-{T}(V16,V15,V14)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #391: mergings( V3 == V4, V4 == V5, V5 == V6, V17 == V20, V6 == V7, V8 == V9, V9 == V7; #375 ), references = 1, size of lhs = 20:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V11,V4,V12), P_double_divide-{F}(V0,V13,V12), P_double_divide-{F}(V14,V15,V12), P_double_divide-{F}(V16,V12,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V19,V16,V12) | P_multiply-{T}(V15,V14,V13)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #400: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9, V10 == V11, V11 == V13, V9 == V7; #376 ), references = 1, size of lhs = 23:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V1), P_double_divide-{F}(V2,V0,V1), P_double_divide-{F}(V0,V1,V3), P_double_divide-{F}(V0,V2,V4), P_double_divide-{F}(V4,V0,V5), P_double_divide-{F}(V0,V6,V3), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V8,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V0,V12), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V13,V10,V15), P_double_divide-{F}(V11,V16,V15), P_double_divide-{F}(V17,V0,V14), P_double_divide-{F}(V17,V5,V15), P_double_divide-{F}(V18,V19,V14), P_double_divide-{F}(V20,V15,V21), P_double_divide-{F}(V12,V21,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V23,V20,V14) | P_multiply-{T}(V19,V18,V16)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #451: mergings( V3 == V4, V4 == V6, V5 == V6; #445 ), references = 1, size of lhs = 12:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V4,V5,V3), P_double_divide-{F}(V6,V7,V2), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V9,V13,V12), P_double_divide-{F}(V1,V14,V13) | P_multiply-{T}(V5,V4,V14)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #460: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9, V6 == V8, V9 == V10, V18 == V20, V10 == V8; #446 ), references = 1, size of lhs = 24:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V10,V4,V12), P_double_divide-{F}(V13,V0,V11), P_double_divide-{F}(V13,V14,V12), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V0,V16,V15), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V8,V19,V18), P_double_divide-{F}(V0,V20,V11), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V21,V22,V19), P_double_divide-{F}(V23,V24,V11), P_double_divide-{F}(V25,V26,V20) | P_multiply-{T}(V24,V23,V22)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #469: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9, V6 == V8, V9 == V10, V18 == V20, V10 == V8; #447 ), references = 1, size of lhs = 24:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V2), P_double_divide-{F}(V0,V1,V3), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V2,V0,V5), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V10,V4,V12), P_double_divide-{F}(V13,V0,V11), P_double_divide-{F}(V13,V14,V12), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V0,V16,V15), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V8,V19,V18), P_double_divide-{F}(V0,V20,V11), P_double_divide-{F}(V21,V0,V20), P_double_divide-{F}(V21,V22,V19), P_double_divide-{F}(V23,V24,V11), P_double_divide-{F}(V25,V26,V20) | P_multiply-{T}(V24,V23,V22)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #495: mergings( V10 == V11, V11 == V12, V25 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V36 == V38, V17 == V19; #478 ), references = 1, size of lhs = 31:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V2,V2,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V11,V8,V12), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V14,V11,V15), P_double_divide-{F}(V16,V17,V15), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V0,V24,V25), P_double_divide-{F}(V25,V1,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V22,V27,V2), P_double_divide-{F}(V0,V28,V29), P_double_divide-{F}(V0,V29,V30), P_double_divide-{F}(V30,V31,V15), P_double_divide-{F}(V31,V32,V28), V32 == V15 | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #513: mergings( V10 == V11, V11 == V12, V25 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V17, V33 == V35, V17 == V19; #496 ), references = 1, size of lhs = 27:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V2,V2,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V6), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V7,V6,V8), P_double_divide-{F}(V9,V10,V8), P_double_divide-{F}(V11,V8,V12), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V0,V13,V14), P_double_divide-{F}(V0,V15,V14), P_double_divide-{F}(V0,V16,V15), P_double_divide-{F}(V11,V17,V16), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V0,V20,V21), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V0,V24,V25), P_double_divide-{F}(V25,V1,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V22,V27,V2) | P_double_divide-{T}(V14,V11,V17)
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #538: mergings( V9 == V10, V10 == V11, V18 == V20, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V15 == V19, V8 == V11, V11 == V20, V20 == V13, V14 == V19, V19 == V13, V16 == V13, V17 == V13, V37 == V39, V13 == V22; #518 ), references = 1, size of lhs = 28:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_a2-{F}(V2), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V3,V3,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V5,V0,V4), P_double_divide-{F}(V0,V5,V6), P_double_divide-{F}(V6,V0,V0), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V0,V12,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V0,V18,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V0,V22,V23), P_double_divide-{F}(V23,V1,V24), P_double_divide-{F}(V24,V0,V25), P_double_divide-{F}(V20,V25,V3) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #559: mergings( V8 == V9, V9 == V10, V17 == V19, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V14 == V18, V7 == V10, V10 == V19, V19 == V12, V13 == V18, V18 == V12, V15 == V12, V16 == V12, V36 == V38, V12 == V21; #539 ), references = 1, size of lhs = 27:
% 3.60/3.76 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V2,V2,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V4,V0,V3), P_double_divide-{F}(V0,V4,V5), P_double_divide-{F}(V5,V0,V0), P_double_divide-{F}(V6,V0,V0), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V7,V0,V8), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V0,V11,V10), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V0,V17,V18), P_double_divide-{F}(V19,V0,V20), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V0,V21,V22), P_double_divide-{F}(V22,V1,V23), P_double_divide-{F}(V23,V0,V24), P_double_divide-{F}(V19,V24,V2) | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 #563: exists( #6, #561 ), references = 1, size of lhs = 0:
% 3.60/3.76 FALSE | FALSE
% 3.60/3.76 (used 0 times, uses = {})
% 3.60/3.76
% 3.60/3.76 number of learnt formulas = 39
% 3.60/3.76
% 3.60/3.76
% 3.60/3.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/3.76
% 3.60/3.76 randbase = 1
%------------------------------------------------------------------------------