TSTP Solution File: GRP462-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 1.38s 1.61s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 14:07:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.38/1.61 GeoParameters:
% 1.38/1.61
% 1.38/1.61 tptp_input = 1
% 1.38/1.61 tptp_output = 0
% 1.38/1.61 nonempty = 1
% 1.38/1.61 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.38/1.61
% 1.38/1.61
% 1.38/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61
% 1.38/1.61 RuleSystem INPUT:
% 1.38/1.61
% 1.38/1.61 Initial Rules:
% 1.38/1.61 #0: input, references = 6, size of lhs = 9:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V2,V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V1,V1,V6), P_divide-{F}(V6,V1,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V5,V8,V9), P_divide-{F}(V1,V9,V10), V10 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #1: input, references = 5, size of lhs = 5:
% 1.38/1.61 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
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #2: input, references = 5, size of lhs = 4:
% 1.38/1.61 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_divide-{F}(V0,V1,V3), V2 == V3 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #3: input, references = 4, size of lhs = 3:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V1,V1,V2), V0 == V2 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #4: input, references = 7, size of lhs = 8:
% 1.38/1.61 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
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #5: input, references = 13, size of lhs = 2:
% 1.38/1.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #6: input, references = 4, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #7: input, references = 7, size of lhs = 2:
% 1.38/1.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #8: input, references = 15, size of lhs = 1:
% 1.38/1.61 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #9: input, references = 4, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_a3-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #10: input, references = 5, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_b3-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #11: input, references = 5, size of lhs = 0:
% 1.38/1.61 FALSE | EXISTS V0: P_c3-{T}(V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of initial rules = 12
% 1.38/1.61
% 1.38/1.61 Simplifiers:
% 1.38/1.61 #12: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #13: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #14: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #15: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #16: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #17: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #18: unsound, references = 3, size of lhs = 3:
% 1.38/1.61 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of simplifiers = 7
% 1.38/1.61
% 1.38/1.61 Learnt:
% 1.38/1.61 #20: exists( #5, #3 ), references = 24, size of lhs = 2:
% 1.38/1.61 P_identity-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #22: exists( #5, #2 ), references = 19, size of lhs = 2:
% 1.38/1.61 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_divide-{T}(V0,V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #25: exists( #5, #0 ), references = 31, size of lhs = 7:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V3,V4), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V5,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V4,V8,V9) | P_divide-{T}(V5,V9,V1)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #27: exists( #8, #2 ), references = 1, size of lhs = 2:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2) | P_inverse-{T}(V1,V2)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #31: exists( #5, #1 ), references = 13, size of lhs = 3:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_multiply-{F}(V3,V1,V4) | P_divide-{T}(V3,V2,V4)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #33: exists( #7, #1 ), references = 9, size of lhs = 3:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V2,V4) | P_multiply-{T}(V3,V1,V4)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #47: mergings( V3 == V4, V4 == V0, V6 == V8, V0 == V5; #42 ), references = 11, size of lhs = 7:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_divide-{F}(V3,V3,V0), P_divide-{F}(V0,V4,V3), P_divide-{F}(V0,V5,V3) | P_multiply-{T}(V0,V4,V5)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #60: mergings( V6 == V11, V2 == V3, V3 == V4, V8 == V11, V4 == V5, V5 == V9; #53 ), references = 1, size of lhs = 9:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_divide-{F}(V1,V1,V0), P_c3-{F}(V2), P_divide-{F}(V0,V2,V3), P_divide-{F}(V0,V0,V3), P_divide-{F}(V3,V0,V4), P_divide-{F}(V4,V3,V3) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #69: mergings( V2 == V5; #67 ), references = 1, size of lhs = 10:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_b3-{F}(V3), P_multiply-{F}(V0,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V3,V5,V6) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #74: mergings( V3 == V4, V4 == V7; #71 ), references = 1, size of lhs = 9:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_b3-{F}(V3), P_multiply-{F}(V0,V3,V3), P_c3-{F}(V4), P_divide-{F}(V0,V4,V5) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #79: mergings( V2 == V3, V3 == V6; #76 ), references = 2, size of lhs = 8:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_b3-{F}(V3), P_multiply-{F}(V0,V3,V3), P_c3-{F}(V4) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #88: mergings( V3 == V5, V4 == V6; #85 ), references = 1, size of lhs = 7:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_b3-{F}(V3), P_c3-{F}(V4) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #92: mergings( V2 == V4, V3 == V5; #89 ), references = 1, size of lhs = 6:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_b3-{F}(V3) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #96: mergings( V2 == V4, V3 == V5; #93 ), references = 1, size of lhs = 5:
% 1.38/1.61 P_a3-{F}(V0), P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #114: exists( #8, #112 ), references = 7, size of lhs = 10:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V3,V5), P_divide-{F}(V5,V6,V7), P_divide-{F}(V8,V6,V9), P_divide-{F}(V9,V7,V10), P_divide-{F}(V3,V10,V11) | P_inverse-{T}(V8,V11)
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #146: mergings( V43 == V44, V3 == V4, V4 == V5, V5 == V8, V6 == V9, V7 == V10, V8 == V11, V11 == V12, V25 == V26, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #132 ), references = 1, size of lhs = 32:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a3-{F}(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_multiply-{F}(V3,V8,V9), P_divide-{F}(V0,V9,V10), P_divide-{F}(V3,V3,V11), P_divide-{F}(V11,V3,V12), P_divide-{F}(V13,V13,V0), P_divide-{F}(V0,V14,V15), P_divide-{F}(V16,V15,V13), P_divide-{F}(V16,V16,V17), P_divide-{F}(V17,V16,V18), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V18,V20), P_divide-{F}(V10,V14,V21), P_divide-{F}(V21,V22,V7), P_divide-{F}(V0,V22,V23), P_divide-{F}(V15,V24,V3), P_divide-{F}(V20,V24,V5), P_divide-{F}(V23,V25,V18), P_divide-{F}(V26,V26,V25), P_divide-{F}(V13,V27,V26), P_divide-{F}(V12,V28,V29), P_divide-{F}(V13,V28,V30), P_divide-{F}(V30,V29,V5) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #165: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V7 == V10, V8 == V11, V9 == V12, V10 == V32, V20 == V31, V12 == V13, V1 == V35, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #149 ), references = 3, size of lhs = 30:
% 1.38/1.61 P_identity-{F}(V0), P_a3-{F}(V1), 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_multiply-{F}(V1,V6,V7), P_divide-{F}(V0,V7,V8), P_divide-{F}(V1,V1,V9), P_divide-{F}(V9,V1,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_divide-{F}(V0,V13,V3), P_divide-{F}(V0,V0,V14), P_divide-{F}(V14,V0,V15), P_divide-{F}(V15,V14,V14), P_divide-{F}(V3,V16,V17), P_divide-{F}(V12,V16,V18), P_divide-{F}(V0,V19,V18), P_divide-{F}(V17,V17,V20), P_divide-{F}(V20,V17,V21), P_divide-{F}(V21,V21,V22), P_divide-{F}(V22,V21,V23), P_divide-{F}(V8,V19,V24), P_divide-{F}(V24,V25,V5), P_divide-{F}(V0,V25,V26), P_divide-{F}(V26,V14,V21), P_divide-{F}(V18,V27,V1), P_divide-{F}(V23,V27,V3) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #190: mergings( V14 == V23, V2 == V3, V3 == V4, V4 == V5, V5 == V8, V6 == V9, V7 == V10, V8 == V11, V9 == V26, V19 == V25, V11 == V12, V12 == V13, V23 == V26, V10 == V15, V21 == V28, V13 == V16, V16 == V17; #172 ), references = 1, size of lhs = 21:
% 1.38/1.61 P_identity-{F}(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,V0,V7), P_divide-{F}(V7,V0,V8), P_divide-{F}(V8,V7,V7), P_divide-{F}(V0,V9,V3), P_divide-{F}(V0,V10,V5), P_divide-{F}(V5,V7,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_divide-{F}(V13,V7,V3), P_divide-{F}(V3,V7,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V11) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #225: mergings( V3 == V4, V4 == V7, V7 == V8; #220 ), references = 1, size of lhs = 20:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a3-{F}(V3), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V3,V5), P_b3-{F}(V6), P_multiply-{F}(V3,V6,V7), P_c3-{F}(V8), P_multiply-{F}(V7,V8,V9), P_divide-{F}(V0,V9,V10), P_multiply-{F}(V6,V8,V11), P_divide-{F}(V10,V12,V13), P_divide-{F}(V5,V12,V14), P_divide-{F}(V13,V13,V15), P_divide-{F}(V15,V13,V16), P_divide-{F}(V16,V17,V18), P_divide-{F}(V11,V17,V19), P_divide-{F}(V19,V18,V14) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #234: mergings( V10 == V16, V11 == V17, V3 == V4, V4 == V7, V7 == V8, V5 == V20, V6 == V21, V28 == V30; #221 ), references = 1, size of lhs = 34:
% 1.38/1.61 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_divide-{F}(V0,V2,V1), P_c3-{F}(V3), P_divide-{F}(V0,V3,V4), P_multiply-{F}(V2,V3,V5), P_divide-{F}(V1,V1,V6), P_divide-{F}(V6,V1,V7), P_divide-{F}(V7,V7,V8), P_divide-{F}(V8,V7,V1), P_divide-{F}(V0,V9,V1), P_divide-{F}(V0,V0,V10), P_divide-{F}(V10,V0,V11), P_divide-{F}(V11,V10,V10), P_divide-{F}(V7,V12,V13), P_divide-{F}(V5,V14,V15), P_divide-{F}(V15,V16,V13), P_divide-{F}(V17,V14,V16), P_divide-{F}(V0,V18,V19), P_divide-{F}(V0,V19,V20), P_divide-{F}(V20,V12,V21), P_divide-{F}(V21,V21,V22), P_divide-{F}(V22,V21,V17), P_divide-{F}(V19,V19,V23), P_divide-{F}(V23,V19,V24), P_divide-{F}(V24,V24,V25), P_divide-{F}(V25,V24,V26), P_divide-{F}(V20,V18,V27), P_divide-{F}(V27,V28,V4), P_divide-{F}(V0,V28,V29), P_divide-{F}(V29,V10,V24), P_divide-{F}(V19,V30,V1), P_divide-{F}(V26,V30,V1) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #250: mergings( V3 == V4, V4 == V5, V20 == V22, V5 == V6, V6 == V7, V7 == V10, V10 == V11; #241 ), references = 1, size of lhs = 22:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V1), P_divide-{F}(V1,V0,V2), P_divide-{F}(V2,V1,V1), P_a3-{F}(V3), P_divide-{F}(V3,V3,V4), P_divide-{F}(V4,V3,V5), P_b3-{F}(V6), P_multiply-{F}(V3,V6,V7), P_c3-{F}(V8), P_multiply-{F}(V7,V8,V9), P_divide-{F}(V0,V9,V10), P_divide-{F}(V0,V8,V11), P_divide-{F}(V0,V12,V13), P_divide-{F}(V13,V14,V6), P_divide-{F}(V5,V15,V13), P_divide-{F}(V10,V15,V16), P_divide-{F}(V16,V16,V17), P_divide-{F}(V17,V16,V18), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V18,V20), P_divide-{F}(V20,V14,V11) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #266: mergings( V14 == V17, V15 == V18, V30 == V35, V27 == V36, V3 == V4, V4 == V5, V13 == V23, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V8 == V21, V9 == V22, V16 == V25, V31 == V34; #242 ), references = 1, size of lhs = 31:
% 1.38/1.61 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_divide-{F}(V0,V2,V1), P_c3-{F}(V3), P_divide-{F}(V1,V1,V4), P_divide-{F}(V4,V1,V5), P_divide-{F}(V5,V5,V6), P_divide-{F}(V6,V5,V1), P_divide-{F}(V0,V7,V1), P_divide-{F}(V0,V0,V8), P_divide-{F}(V8,V0,V9), P_divide-{F}(V9,V8,V8), P_divide-{F}(V0,V1,V10), P_divide-{F}(V5,V11,V10), P_divide-{F}(V0,V3,V12), P_divide-{F}(V10,V13,V2), P_divide-{F}(V14,V13,V12), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V16), P_divide-{F}(V0,V17,V16), P_divide-{F}(V0,V16,V18), P_divide-{F}(V18,V11,V19), P_divide-{F}(V19,V19,V20), P_divide-{F}(V20,V19,V16), P_divide-{F}(V16,V16,V21), P_divide-{F}(V21,V16,V14), P_divide-{F}(V18,V17,V22), P_divide-{F}(V22,V23,V12), P_divide-{F}(V0,V23,V24), P_divide-{F}(V24,V8,V14) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #314: mergings( V20 == V49, V21 == V50, V3 == V4, V4 == V5, V29 == V30, V5 == V6, V6 == V9, V7 == V10, V8 == V11, V9 == V12, V12 == V13, V13 == V14, V10 == V25, V11 == V26; #299 ), references = 1, size of lhs = 42:
% 1.38/1.61 P_identity-{F}(V0), P_a3-{F}(V1), 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,V0,V9), P_divide-{F}(V9,V0,V10), P_divide-{F}(V10,V9,V9), P_divide-{F}(V1,V1,V11), P_divide-{F}(V11,V1,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V15,V15,V0), P_divide-{F}(V0,V16,V17), P_divide-{F}(V18,V17,V15), P_divide-{F}(V18,V18,V19), P_divide-{F}(V19,V18,V20), P_divide-{F}(V20,V20,V21), P_divide-{F}(V21,V20,V22), P_divide-{F}(V0,V23,V20), P_divide-{F}(V23,V24,V5), P_divide-{F}(V0,V24,V25), P_divide-{F}(V25,V9,V26), P_divide-{F}(V26,V26,V27), P_divide-{F}(V27,V26,V28), P_divide-{F}(V28,V29,V3), P_divide-{F}(V16,V0,V30), P_divide-{F}(V0,V30,V31), P_divide-{F}(V31,V29,V1), P_divide-{F}(V14,V32,V31), P_divide-{F}(V3,V32,V33), P_divide-{F}(V33,V33,V34), P_divide-{F}(V34,V33,V26), P_divide-{F}(V17,V35,V1), P_divide-{F}(V22,V35,V7), P_divide-{F}(V12,V36,V37), P_divide-{F}(V15,V36,V38), P_divide-{F}(V38,V37,V7) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #336: mergings( V23 == V30, V24 == V31, V25 == V32, V26 == V33, V3 == V4, V4 == V5, V5 == V6, V1 == V38, V6 == V7, V7 == V10, V8 == V11, V9 == V12, V10 == V13, V22 == V35, V13 == V14, V14 == V15, V11 == V28, V12 == V29; #317 ), references = 2, size of lhs = 40:
% 1.38/1.61 P_identity-{F}(V0), P_a3-{F}(V1), 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,V0,V9), P_divide-{F}(V9,V0,V10), P_divide-{F}(V10,V9,V9), P_divide-{F}(V1,V1,V11), P_divide-{F}(V11,V1,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V0,V15,V7), P_divide-{F}(V7,V16,V17), P_divide-{F}(V14,V16,V18), P_divide-{F}(V0,V19,V18), P_divide-{F}(V17,V17,V20), P_divide-{F}(V20,V17,V21), P_divide-{F}(V21,V21,V22), P_divide-{F}(V22,V21,V23), P_divide-{F}(V0,V24,V21), P_divide-{F}(V24,V25,V5), P_divide-{F}(V0,V25,V26), P_divide-{F}(V26,V9,V27), P_divide-{F}(V27,V27,V28), P_divide-{F}(V28,V27,V29), P_divide-{F}(V29,V30,V3), P_divide-{F}(V19,V0,V31), P_divide-{F}(V0,V31,V32), P_divide-{F}(V32,V30,V1), P_divide-{F}(V14,V33,V32), P_divide-{F}(V3,V33,V34), P_divide-{F}(V34,V34,V35), P_divide-{F}(V35,V34,V27), P_divide-{F}(V18,V36,V1), P_divide-{F}(V23,V36,V7) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #358: mergings( V13 == V22, V14 == V23, V22 == V26, V2 == V3, V3 == V4, V4 == V7, V5 == V8, V6 == V9, V7 == V10, V20 == V25, V10 == V11, V11 == V12, V8 == V26, V9 == V23; #343 ), references = 2, size of lhs = 30:
% 1.38/1.61 P_identity-{F}(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}(V0,V0,V10), P_divide-{F}(V10,V0,V11), P_divide-{F}(V11,V10,V10), P_divide-{F}(V3,V10,V12), P_divide-{F}(V12,V12,V13), P_divide-{F}(V13,V12,V14), P_divide-{F}(V14,V14,V15), P_divide-{F}(V15,V14,V16), P_divide-{F}(V16,V10,V3), P_divide-{F}(V7,V10,V17), P_divide-{F}(V17,V17,V18), P_divide-{F}(V18,V17,V19), P_divide-{F}(V0,V20,V19), P_divide-{F}(V20,V21,V5), P_divide-{F}(V0,V21,V22), P_divide-{F}(V22,V10,V14), P_divide-{F}(V19,V19,V23), P_divide-{F}(V23,V19,V24), P_divide-{F}(V24,V10,V7) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #395: mergings( V3 == V4, V4 == V5, V5 == V12, V12 == V13, V2 == V13; #388 ), references = 1, size of lhs = 21:
% 1.38/1.61 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,V5,V6), P_divide-{F}(V0,V7,V3), P_divide-{F}(V3,V0,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V10,V11), P_divide-{F}(V11,V10,V12), P_divide-{F}(V12,V0,V3), P_divide-{F}(V6,V0,V13), P_divide-{F}(V13,V1,V14), P_divide-{F}(V0,V14,V15), P_divide-{F}(V15,V0,V10) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #402: mergings( V4 == V13, V5 == V14, V3 == V13, V13 == V14, V14 == V20, V2 == V20; #389 ), references = 2, size of lhs = 22:
% 1.38/1.61 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}(V0,V5,V6), P_multiply-{F}(V2,V4,V7), P_divide-{F}(V7,V7,V0), P_divide-{F}(V0,V8,V3), P_divide-{F}(V3,V0,V9), P_divide-{F}(V9,V9,V10), P_divide-{F}(V10,V9,V11), P_divide-{F}(V11,V11,V12), P_divide-{F}(V12,V11,V13), P_divide-{F}(V13,V0,V3), P_divide-{F}(V6,V0,V14), P_divide-{F}(V14,V7,V15), P_divide-{F}(V0,V15,V16), P_divide-{F}(V16,V0,V11) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #415: mergings( V3 == V4, V4 == V5, V8 == V22, V19 == V21; #410 ), references = 2, size of lhs = 23:
% 1.38/1.61 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,V7), P_divide-{F}(V7,V6,V8), P_divide-{F}(V8,V8,V9), P_divide-{F}(V9,V8,V10), P_divide-{F}(V10,V0,V3), P_divide-{F}(V0,V4,V11), P_divide-{F}(V0,V11,V12), P_divide-{F}(V12,V0,V13), P_divide-{F}(V13,V13,V14), P_divide-{F}(V14,V13,V15), P_divide-{F}(V15,V16,V11), P_divide-{F}(V17,V0,V8), P_divide-{F}(V17,V16,V2), P_divide-{F}(V0,V18,V17) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #426: mergings( V2 == V3, V3 == V4, V7 == V8; #422 ), references = 1, size of lhs = 9:
% 1.38/1.61 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
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #442: mergings( V2 == V3, V3 == V4, V4 == V14, V11 == V6; #437 ), references = 2, size of lhs = 17:
% 1.38/1.61 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}(V4,V4,V0), P_divide-{F}(V0,V5,V3), P_divide-{F}(V3,V0,V6), P_divide-{F}(V6,V6,V7), P_divide-{F}(V7,V6,V2), P_divide-{F}(V2,V2,V8), P_divide-{F}(V8,V2,V9), P_divide-{F}(V9,V0,V3), P_divide-{F}(V10,V0,V2), P_divide-{F}(V0,V11,V10) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #459: mergings( V2 == V3, V3 == V4, V8 == V9; #455 ), references = 2, size of lhs = 10:
% 1.38/1.61 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}(V2,V5,V4) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #462: exists( #11, #460 ), references = 2, size of lhs = 8:
% 1.38/1.61 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
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #465: exists( #10, #463 ), references = 1, size of lhs = 4:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_divide-{F}(V1,V1,V0) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #468: exists( #9, #466 ), references = 1, size of lhs = 2:
% 1.38/1.61 P_identity-{F}(V0), P_divide-{F}(V0,V0,V0) | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 #471: exists( #6, #469 ), references = 1, size of lhs = 0:
% 1.38/1.61 FALSE | FALSE
% 1.38/1.61 (used 0 times, uses = {})
% 1.38/1.61
% 1.38/1.61 number of learnt formulas = 35
% 1.38/1.61
% 1.38/1.61
% 1.38/1.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.61
% 1.38/1.61 randbase = 1
%------------------------------------------------------------------------------