%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:03:56 EDT 2022
% Result : Unsatisfiable 1.41s 1.64s
% Output : Refutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 14:21:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.41/1.64 GeoParameters:
% 1.41/1.64
% 1.41/1.64 tptp_input = 1
% 1.41/1.64 tptp_output = 0
% 1.41/1.64 nonempty = 1
% 1.41/1.64 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.64 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.41/1.64
% 1.41/1.64
% 1.41/1.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.64
% 1.41/1.64 RuleSystem INPUT:
% 1.41/1.64
% 1.41/1.64 Initial Rules:
% 1.41/1.64 #0: input, references = 6, size of lhs = 9:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V1,V1,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V5,V3,V6), P_divide-{F}(V0,V1,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V6,V8,V9), P_divide-{F}(V1,V9,V10), V10 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #1: input, references = 5, size of lhs = 5:
% 1.41/1.64 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V1,V4,V5), V3 == V5 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #2: input, references = 5, size of lhs = 4:
% 1.41/1.64 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #3: input, references = 4, size of lhs = 3:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #4: input, references = 7, size of lhs = 8:
% 1.41/1.64 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V7), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V6,V7) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #5: input, references = 13, size of lhs = 2:
% 1.41/1.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #6: input, references = 4, size of lhs = 0:
% 1.41/1.64 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #7: input, references = 7, size of lhs = 2:
% 1.41/1.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #8: input, references = 15, size of lhs = 1:
% 1.41/1.64 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #9: input, references = 4, size of lhs = 0:
% 1.41/1.64 FALSE | EXISTS V0: P_a3-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #10: input, references = 5, size of lhs = 0:
% 1.41/1.64 FALSE | EXISTS V0: P_b3-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #11: input, references = 5, size of lhs = 0:
% 1.41/1.64 FALSE | EXISTS V0: P_c3-{T}(V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 number of initial rules = 12
% 1.41/1.64
% 1.41/1.64 Simplifiers:
% 1.41/1.64 #12: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #13: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #14: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #15: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #16: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #17: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #18: unsound, references = 3, size of lhs = 3:
% 1.41/1.64 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 number of simplifiers = 7
% 1.41/1.64
% 1.41/1.64 Learnt:
% 1.41/1.64 #20: exists( #5, #3 ), references = 25, size of lhs = 2:
% 1.41/1.64 P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #22: exists( #5, #2 ), references = 20, size of lhs = 2:
% 1.41/1.64 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #25: exists( #5, #0 ), references = 38, size of lhs = 7:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V0,V1,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V3,V6,V8), P_divide-{F}(V7,V8,V9) | P_divide-{T}(V1,V9,V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #27: exists( #8, #2 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #31: exists( #5, #1 ), references = 14, size of lhs = 3:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #33: exists( #7, #1 ), references = 10, size of lhs = 3:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #48: mergings( V3 == V4, V4 == V0, V6 == V8, V0 == V5, V7 == V8; #42 ), references = 11, size of lhs = 6:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V1,V1), P_divide-{F}(V2,V2,V0), P_divide-{F}(V0,V3,V2), P_divide-{F}(V1,V4,V2) | P_multiply-{T}(V0,V3,V4)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #63: mergings( V4 == V11, V2 == V3, V3 == V11, V11 == V5, V8 == V5, V5 == V6, V7 == V6, V6 == V9; #54 ), references = 1, size of lhs = 7:
% 1.41/1.64 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_c3-{F}(V2), P_divide-{F}(V0,V2,V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #72: mergings( V2 == V3; #70 ), references = 1, size of lhs = 8:
% 1.41/1.64 P_a3-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V2), P_c3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V3,V4) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #77: mergings( V3 == V4, V4 == V5; #74 ), references = 1, size of lhs = 7:
% 1.41/1.64 P_a3-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_divide-{F}(V0,V2,V3) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #82: mergings( V2 == V3, V3 == V4; #79 ), references = 2, size of lhs = 6:
% 1.41/1.64 P_a3-{F}(V0), P_divide-{F}(V0,V0,V0), P_identity-{F}(V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #89: exists( #8, #87 ), references = 1, size of lhs = 5:
% 1.41/1.64 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #91: exists( #11, #88 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_b3-{F}(V1) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #93: exists( #10, #90 ), references = 1, size of lhs = 3:
% 1.41/1.64 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #112: mergings( V2 == V3; #110 ), references = 8, size of lhs = 8:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V6,V4,V7), P_divide-{F}(V1,V7,V8) | P_inverse-{T}(V5,V8)
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #138: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16; #129 ), references = 2, size of lhs = 29:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V0,V2,V4), P_a3-{F}(V5), P_divide-{F}(V5,V5,V0), P_divide-{F}(V0,V5,V6), P_b3-{F}(V7), P_divide-{F}(V0,V7,V8), P_c3-{F}(V9), P_divide-{F}(V0,V9,V10), P_multiply-{F}(V7,V9,V11), P_multiply-{F}(V5,V11,V12), P_divide-{F}(V0,V12,V13), P_divide-{F}(V4,V14,V8), P_divide-{F}(V15,V14,V5), P_divide-{F}(V3,V16,V15), P_divide-{F}(V0,V16,V17), P_divide-{F}(V1,V17,V18), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V20,V2), P_divide-{F}(V16,V0,V21), P_divide-{F}(V13,V21,V22), P_divide-{F}(V22,V20,V10), P_divide-{F}(V6,V23,V24), P_divide-{F}(V18,V23,V25), P_divide-{F}(V25,V24,V8) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #152: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #141 ), references = 3, size of lhs = 30:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V0,V2,V4), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V0,V7,V8), P_multiply-{F}(V5,V7,V9), P_multiply-{F}(V1,V9,V10), P_divide-{F}(V0,V10,V11), P_divide-{F}(V0,V12,V6), P_divide-{F}(V3,V12,V13), P_divide-{F}(V14,V14,V0), P_divide-{F}(V0,V14,V15), P_divide-{F}(V15,V15,V16), P_divide-{F}(V0,V15,V17), P_divide-{F}(V17,V18,V6), P_divide-{F}(V0,V19,V15), P_divide-{F}(V13,V20,V14), P_divide-{F}(V4,V20,V21), P_divide-{F}(V0,V22,V21), P_divide-{F}(V16,V22,V23), P_divide-{F}(V23,V18,V1), P_divide-{F}(V22,V0,V24), P_divide-{F}(V11,V24,V25), P_divide-{F}(V25,V19,V8) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #174: mergings( V7 == V17, V25 == V26, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V17, V13 == V19, V21 == V15, V17 == V8, V8 == V9, V9 == V10, V10 == V11; #160 ), references = 1, size of lhs = 20:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_divide-{F}(V0,V4,V5), P_divide-{F}(V5,V5,V0), P_multiply-{F}(V2,V4,V6), P_divide-{F}(V0,V6,V0), P_divide-{F}(V0,V7,V3), P_divide-{F}(V3,V0,V8), P_divide-{F}(V8,V8,V0), P_divide-{F}(V0,V8,V5), P_divide-{F}(V0,V5,V9), P_divide-{F}(V9,V0,V3), P_divide-{F}(V0,V10,V5), P_divide-{F}(V11,V11,V0), P_divide-{F}(V1,V12,V11) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #208: mergings( V3 == V4, V4 == V6, V6 == V7; #202 ), references = 1, size of lhs = 18:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V0,V1,V3), P_b3-{F}(V4), P_multiply-{F}(V1,V4,V5), P_c3-{F}(V6), P_multiply-{F}(V5,V6,V7), P_divide-{F}(V2,V7,V8), P_multiply-{F}(V4,V6,V9), P_divide-{F}(V10,V10,V0), P_divide-{F}(V0,V10,V11), P_divide-{F}(V8,V12,V10), P_divide-{F}(V3,V12,V13), P_divide-{F}(V11,V14,V15), P_divide-{F}(V9,V14,V16), P_divide-{F}(V16,V15,V13) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #216: mergings( V7 == V9, V20 == V21, V21 == V29, V3 == V4, V4 == V6, V6 == V9, V10 == V11; #203 ), references = 1, size of lhs = 33:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V2,V1), P_divide-{F}(V2,V2,V3), P_b3-{F}(V4), P_divide-{F}(V0,V4,V5), P_c3-{F}(V6), P_divide-{F}(V0,V6,V7), P_multiply-{F}(V4,V6,V8), P_divide-{F}(V0,V9,V5), P_divide-{F}(V3,V9,V1), P_divide-{F}(V10,V10,V0), P_divide-{F}(V0,V10,V11), P_divide-{F}(V12,V12,V0), P_divide-{F}(V0,V13,V12), P_divide-{F}(V13,V0,V14), P_divide-{F}(V0,V12,V15), P_divide-{F}(V15,V15,V16), P_divide-{F}(V0,V15,V17), P_divide-{F}(V17,V18,V5), P_divide-{F}(V0,V19,V15), P_divide-{F}(V16,V13,V20), P_divide-{F}(V20,V18,V1), P_divide-{F}(V15,V14,V21), P_divide-{F}(V21,V19,V7), P_divide-{F}(V15,V22,V10), P_divide-{F}(V2,V22,V23), P_divide-{F}(V11,V24,V25), P_divide-{F}(V8,V24,V26), P_divide-{F}(V26,V25,V23) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #223: mergings( V7 == V13, V30 == V32, V3 == V4, V4 == V6, V6 == V13, V14 == V15; #204 ), references = 1, size of lhs = 35:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V0,V2,V4), P_a3-{F}(V5), P_divide-{F}(V5,V5,V0), P_divide-{F}(V0,V5,V6), P_b3-{F}(V7), P_divide-{F}(V0,V7,V8), P_c3-{F}(V9), P_divide-{F}(V0,V9,V10), P_multiply-{F}(V7,V9,V11), P_divide-{F}(V4,V12,V8), P_divide-{F}(V13,V13,V0), P_divide-{F}(V0,V13,V14), P_divide-{F}(V15,V12,V5), P_divide-{F}(V3,V16,V15), P_divide-{F}(V0,V16,V17), P_divide-{F}(V1,V17,V18), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V20,V2), P_divide-{F}(V16,V0,V21), P_divide-{F}(V22,V20,V10), P_divide-{F}(V23,V21,V22), P_divide-{F}(V0,V24,V23), P_divide-{F}(V23,V25,V13), P_divide-{F}(V6,V25,V26), P_divide-{F}(V14,V27,V28), P_divide-{F}(V11,V27,V29), P_divide-{F}(V29,V28,V26), P_divide-{F}(V6,V30,V31), P_divide-{F}(V18,V30,V32), P_divide-{F}(V32,V31,V8) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #242: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #233 ), references = 1, size of lhs = 21:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V2), P_divide-{F}(V0,V1,V3), P_b3-{F}(V4), P_multiply-{F}(V1,V4,V5), P_c3-{F}(V6), P_multiply-{F}(V5,V6,V7), P_divide-{F}(V2,V7,V8), P_divide-{F}(V0,V6,V9), P_divide-{F}(V10,V10,V0), P_divide-{F}(V0,V10,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V0,V11,V13), P_divide-{F}(V8,V14,V10), P_divide-{F}(V3,V14,V15), P_divide-{F}(V0,V16,V15), P_divide-{F}(V12,V16,V17), P_divide-{F}(V13,V18,V9), P_divide-{F}(V17,V18,V4) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #255: mergings( V9 == V11, V25 == V26, V26 == V31, V3 == V4, V4 == V5, V5 == V6, V12 == V17, V6 == V7, V7 == V8, V8 == V11, V13 == V17, V15 == V33; #234 ), references = 1, size of lhs = 32:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V1), P_c3-{F}(V3), P_divide-{F}(V0,V4,V1), P_divide-{F}(V0,V1,V5), P_divide-{F}(V0,V5,V1), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V4,V1), P_divide-{F}(V5,V7,V5), P_divide-{F}(V0,V3,V8), P_divide-{F}(V9,V9,V0), P_divide-{F}(V0,V9,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V0,V10,V12), P_divide-{F}(V11,V1,V13), P_divide-{F}(V12,V14,V8), P_divide-{F}(V13,V14,V2), P_divide-{F}(V15,V15,V0), P_divide-{F}(V0,V16,V15), P_divide-{F}(V16,V0,V17), P_divide-{F}(V0,V15,V18), P_divide-{F}(V18,V7,V9), P_divide-{F}(V0,V18,V10), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V16,V10), P_divide-{F}(V0,V20,V18), P_divide-{F}(V18,V17,V21), P_divide-{F}(V21,V20,V8) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #267: mergings( V9 == V18, V32 == V34, V3 == V4, V4 == V5, V5 == V6, V19 == V28, V6 == V7, V7 == V8, V8 == V18, V20 == V28, V21 == V35; #235 ), references = 1, size of lhs = 34:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V4,V4,V5), P_divide-{F}(V0,V4,V6), P_a3-{F}(V7), P_divide-{F}(V7,V7,V0), P_divide-{F}(V5,V7,V8), P_b3-{F}(V9), P_divide-{F}(V0,V9,V7), P_c3-{F}(V10), P_divide-{F}(V3,V11,V4), P_divide-{F}(V0,V11,V12), P_divide-{F}(V1,V12,V13), P_divide-{F}(V13,V13,V14), P_divide-{F}(V14,V15,V2), P_divide-{F}(V11,V0,V16), P_divide-{F}(V0,V7,V17), P_divide-{F}(V17,V18,V17), P_divide-{F}(V0,V10,V19), P_divide-{F}(V6,V20,V19), P_divide-{F}(V8,V20,V9), P_divide-{F}(V21,V21,V0), P_divide-{F}(V0,V21,V4), P_divide-{F}(V22,V15,V19), P_divide-{F}(V23,V16,V22), P_divide-{F}(V23,V18,V21), P_divide-{F}(V0,V24,V23), P_divide-{F}(V17,V25,V26), P_divide-{F}(V13,V25,V27), P_divide-{F}(V27,V26,V7) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #312: mergings( V11 == V14, V12 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V13, V13 == V14; #304 ), references = 1, size of lhs = 43:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V0,V2,V4), P_a3-{F}(V5), P_divide-{F}(V5,V5,V0), P_divide-{F}(V0,V5,V6), P_divide-{F}(V6,V6,V7), P_divide-{F}(V0,V6,V8), P_b3-{F}(V9), P_divide-{F}(V0,V9,V10), P_c3-{F}(V11), P_divide-{F}(V0,V11,V12), P_multiply-{F}(V9,V11,V13), P_divide-{F}(V0,V13,V14), P_divide-{F}(V0,V15,V10), P_divide-{F}(V7,V15,V16), P_divide-{F}(V4,V17,V14), P_divide-{F}(V18,V18,V0), P_divide-{F}(V0,V18,V19), P_divide-{F}(V19,V19,V20), P_divide-{F}(V0,V19,V21), P_divide-{F}(V21,V22,V10), P_divide-{F}(V0,V23,V19), P_divide-{F}(V16,V24,V18), P_divide-{F}(V8,V24,V25), P_divide-{F}(V0,V26,V25), P_divide-{F}(V20,V26,V27), P_divide-{F}(V27,V22,V5), P_divide-{F}(V26,V0,V28), P_divide-{F}(V29,V23,V12), P_divide-{F}(V30,V0,V28), P_divide-{F}(V3,V30,V31), P_divide-{F}(V31,V17,V5), P_divide-{F}(V0,V30,V32), P_divide-{F}(V1,V32,V33), P_divide-{F}(V33,V33,V34), P_divide-{F}(V34,V29,V2), P_divide-{F}(V6,V35,V36), P_divide-{F}(V33,V35,V37), P_divide-{F}(V37,V36,V14) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #327: mergings( V12 == V14, V16 == V19, V17 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V13, V13 == V14, V18 == V21; #315 ), references = 2, size of lhs = 42:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V2,V3), P_divide-{F}(V0,V2,V4), P_b3-{F}(V5), P_divide-{F}(V0,V5,V6), P_c3-{F}(V7), P_divide-{F}(V0,V7,V8), P_multiply-{F}(V5,V7,V9), P_divide-{F}(V0,V9,V10), P_divide-{F}(V0,V11,V6), P_divide-{F}(V3,V11,V12), P_divide-{F}(V0,V13,V10), P_divide-{F}(V3,V13,V14), P_divide-{F}(V15,V15,V0), P_divide-{F}(V0,V15,V16), P_divide-{F}(V16,V16,V17), P_divide-{F}(V0,V16,V18), P_divide-{F}(V18,V19,V10), P_divide-{F}(V0,V20,V16), P_divide-{F}(V20,V21,V8), P_divide-{F}(V0,V21,V22), P_divide-{F}(V22,V22,V23), P_divide-{F}(V0,V22,V24), P_divide-{F}(V24,V25,V6), P_divide-{F}(V14,V26,V15), P_divide-{F}(V4,V26,V27), P_divide-{F}(V0,V28,V27), P_divide-{F}(V28,V0,V29), P_divide-{F}(V30,V0,V29), P_divide-{F}(V0,V30,V31), P_divide-{F}(V4,V32,V31), P_divide-{F}(V12,V32,V33), P_divide-{F}(V33,V33,V0), P_divide-{F}(V0,V33,V22), P_divide-{F}(V23,V30,V34), P_divide-{F}(V34,V25,V1), P_divide-{F}(V17,V28,V35), P_divide-{F}(V35,V19,V1) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #343: mergings( V7 == V18, V9 == V15, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V18, V13 == V17; #334 ), references = 2, size of lhs = 27:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_divide-{F}(V0,V4,V5), P_multiply-{F}(V2,V4,V6), P_divide-{F}(V0,V6,V7), P_divide-{F}(V0,V8,V3), P_divide-{F}(V0,V9,V7), P_divide-{F}(V7,V0,V10), P_divide-{F}(V10,V10,V0), P_divide-{F}(V0,V10,V11), P_divide-{F}(V11,V11,V0), P_divide-{F}(V0,V11,V12), P_divide-{F}(V12,V0,V7), P_divide-{F}(V0,V13,V11), P_divide-{F}(V13,V14,V5), P_divide-{F}(V0,V14,V15), P_divide-{F}(V15,V15,V0), P_divide-{F}(V0,V15,V16), P_divide-{F}(V16,V0,V3), P_divide-{F}(V3,V0,V17), P_divide-{F}(V17,V17,V0), P_divide-{F}(V0,V17,V15) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #373: mergings( V4 == V11, V6 == V10, V2 == V3, V3 == V11; #367 ), references = 1, size of lhs = 31:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_multiply-{F}(V2,V4,V1), P_divide-{F}(V0,V4,V5), P_divide-{F}(V0,V6,V3), P_divide-{F}(V0,V5,V7), P_divide-{F}(V3,V0,V8), P_divide-{F}(V8,V8,V0), P_divide-{F}(V0,V8,V9), P_divide-{F}(V9,V9,V0), P_divide-{F}(V0,V9,V10), P_divide-{F}(V10,V0,V3), P_divide-{F}(V0,V11,V9), P_divide-{F}(V12,V12,V0), P_divide-{F}(V0,V12,V13), P_divide-{F}(V0,V14,V15), P_divide-{F}(V15,V0,V16), P_divide-{F}(V16,V16,V17), P_divide-{F}(V0,V16,V18), P_divide-{F}(V17,V19,V12), P_divide-{F}(V7,V19,V20), P_divide-{F}(V20,V14,V11), P_divide-{F}(V18,V21,V0), P_divide-{F}(V1,V22,V23), P_divide-{F}(V13,V22,V24), P_divide-{F}(V23,V24,V21) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #378: mergings( V4 == V16, V16 == V11, V2 == V3, V3 == V11; #368 ), references = 2, size of lhs = 32:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_divide-{F}(V0,V4,V5), P_multiply-{F}(V2,V4,V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V0,V7,V3), P_divide-{F}(V0,V5,V8), P_divide-{F}(V3,V0,V9), P_divide-{F}(V9,V9,V0), P_divide-{F}(V0,V9,V10), P_divide-{F}(V10,V10,V0), P_divide-{F}(V0,V10,V11), P_divide-{F}(V11,V0,V3), P_divide-{F}(V0,V12,V10), P_divide-{F}(V13,V13,V0), P_divide-{F}(V0,V13,V14), P_divide-{F}(V0,V15,V16), P_divide-{F}(V16,V0,V17), P_divide-{F}(V17,V17,V18), P_divide-{F}(V0,V17,V19), P_divide-{F}(V18,V20,V13), P_divide-{F}(V8,V20,V21), P_divide-{F}(V21,V15,V12), P_divide-{F}(V19,V22,V0), P_divide-{F}(V6,V23,V24), P_divide-{F}(V14,V23,V25), P_divide-{F}(V24,V25,V22) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #390: mergings( V3 == V4, V4 == V5, V8 == V19; #386 ), references = 2, size of lhs = 33:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_divide-{F}(V0,V5,V3), P_divide-{F}(V3,V0,V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V0,V6,V7), P_divide-{F}(V7,V7,V0), P_divide-{F}(V0,V7,V8), P_divide-{F}(V8,V0,V3), P_divide-{F}(V0,V4,V9), P_divide-{F}(V0,V9,V10), P_divide-{F}(V0,V11,V7), P_divide-{F}(V12,V12,V0), P_divide-{F}(V0,V12,V13), P_divide-{F}(V13,V13,V14), P_divide-{F}(V0,V13,V15), P_divide-{F}(V15,V16,V9), P_divide-{F}(V17,V16,V2), P_divide-{F}(V14,V18,V17), P_divide-{F}(V0,V18,V19), P_divide-{F}(V20,V19,V0), P_divide-{F}(V0,V21,V20), P_divide-{F}(V21,V21,V22), P_divide-{F}(V22,V23,V12), P_divide-{F}(V10,V23,V24), P_divide-{F}(V24,V25,V11), P_divide-{F}(V0,V25,V26), P_divide-{F}(V26,V0,V21) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #399: mergings( V5 == V6; #397 ), references = 1, size of lhs = 9:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_c3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V3,V0), P_divide-{F}(V2,V4,V3) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #412: mergings( V10 == V11, V22 == V23; #409 ), references = 2, size of lhs = 27:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V0,V2,V3), P_c3-{F}(V4), P_divide-{F}(V0,V5,V3), P_divide-{F}(V3,V0,V6), P_divide-{F}(V6,V6,V0), P_divide-{F}(V0,V6,V7), P_divide-{F}(V7,V7,V0), P_divide-{F}(V0,V7,V8), P_divide-{F}(V8,V0,V3), P_divide-{F}(V4,V4,V9), P_divide-{F}(V0,V10,V7), P_divide-{F}(V9,V11,V10), P_divide-{F}(V0,V11,V12), P_divide-{F}(V12,V0,V13), P_divide-{F}(V13,V13,V0), P_divide-{F}(V0,V13,V14), P_divide-{F}(V14,V15,V0), P_divide-{F}(V0,V16,V15), P_divide-{F}(V9,V16,V17), P_divide-{F}(V17,V18,V2), P_divide-{F}(V19,V19,V18), P_divide-{F}(V4,V20,V19) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #432: mergings( V2 == V5, V9 == V10; #429 ), references = 2, size of lhs = 12:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V2,V2,V0), P_c3-{F}(V3), P_divide-{F}(V3,V3,V0), P_divide-{F}(V4,V4,V0), P_divide-{F}(V3,V5,V4), P_divide-{F}(V6,V6,V0), P_divide-{F}(V2,V7,V6) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #435: exists( #11, #433 ), references = 2, size of lhs = 8:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0), P_b3-{F}(V2), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V3,V0), P_divide-{F}(V2,V4,V3) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #438: exists( #10, #436 ), references = 1, size of lhs = 4:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #441: exists( #9, #439 ), references = 1, size of lhs = 2:
% 1.41/1.64 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0) | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 #444: exists( #6, #442 ), references = 1, size of lhs = 0:
% 1.41/1.64 FALSE | FALSE
% 1.41/1.64 (used 0 times, uses = {})
% 1.41/1.64
% 1.41/1.64 number of learnt formulas = 37
% 1.41/1.64
% 1.41/1.64
% 1.41/1.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/1.64
% 1.41/1.64 randbase = 1
%------------------------------------------------------------------------------