TSTP Solution File: HEN007-5 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% 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 06:04:43 EDT 2022
% Result : Unsatisfiable 2.52s 2.70s
% Output : Refutation 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN007-5 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.31 % Computer : n005.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri Jul 22 21:03:35 EDT 2022
% 0.12/0.31 % CPUTime :
% 2.52/2.70 GeoParameters:
% 2.52/2.70
% 2.52/2.70 tptp_input = 1
% 2.52/2.70 tptp_output = 0
% 2.52/2.70 nonempty = 1
% 2.52/2.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/2.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.52/2.70
% 2.52/2.70
% 2.52/2.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/2.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/2.70
% 2.52/2.70 RuleSystem INPUT:
% 2.52/2.70
% 2.52/2.70 Initial Rules:
% 2.52/2.70 #0: input, references = 5, size of lhs = 4:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V1,V4), V4 == V0 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #1: input, references = 4, size of lhs = 8:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V3,V4), P_divide-{F}(V2,V3,V5), P_divide-{F}(V4,V5,V6), P_divide-{F}(V1,V2,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V6,V8,V9), V9 == V0 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #2: input, references = 4, size of lhs = 3:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V0,V1,V2), V2 == V0 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #3: input, references = 8, size of lhs = 4:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V2,V1,V0), V1 == V2 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #4: input, references = 4, size of lhs = 4:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V1,V3), V3 == V0 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #5: input, references = 4, size of lhs = 6:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V5,V2,V0), P_divide-{F}(V5,V3,V7), V7 == V0 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #6: input, references = 4, size of lhs = 6:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), V4 == V0 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #7: input, references = 7, size of lhs = 9:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_c-{F}(V5), P_divide-{F}(V5,V3,V6), P_divide-{F}(V5,V2,V7), P_divide-{F}(V6,V7,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #8: input, references = 27, size of lhs = 2:
% 2.52/2.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #9: input, references = 4, size of lhs = 0:
% 2.52/2.70 FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #10: input, references = 4, size of lhs = 0:
% 2.52/2.70 FALSE | EXISTS V0: P_identity-{T}(V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #11: input, references = 4, size of lhs = 0:
% 2.52/2.70 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #12: input, references = 5, size of lhs = 0:
% 2.52/2.70 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #13: input, references = 7, size of lhs = 0:
% 2.52/2.70 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 number of initial rules = 14
% 2.52/2.70
% 2.52/2.70 Simplifiers:
% 2.52/2.70 #14: unsound, references = 3, size of lhs = 3:
% 2.52/2.70 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #15: unsound, references = 3, size of lhs = 3:
% 2.52/2.70 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #16: unsound, references = 3, size of lhs = 3:
% 2.52/2.70 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #17: unsound, references = 3, size of lhs = 3:
% 2.52/2.70 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #18: unsound, references = 3, size of lhs = 3:
% 2.52/2.70 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #19: unsound, references = 3, size of lhs = 3:
% 2.52/2.70 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 number of simplifiers = 6
% 2.52/2.70
% 2.52/2.70 Learnt:
% 2.52/2.70 #21: exists( #8, #4 ), references = 2, size of lhs = 3:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | P_divide-{T}(V2,V1,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #24: exists( #8, #2 ), references = 10, size of lhs = 2:
% 2.52/2.70 P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V0,V1,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #25: exists( #8, #0 ), references = 13, size of lhs = 2:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3) | P_divide-{T}(V3,V1,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #29: exists( #8, #27 ), references = 3, size of lhs = 7:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_c-{F}(V5), P_divide-{F}(V5,V3,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #33: mergings( V1 == V3; #31 ), references = 1, size of lhs = 5:
% 2.52/2.70 P_b-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_a-{F}(V2), P_divide-{F}(V2,V0,V3) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #37: exists( #8, #6 ), references = 2, size of lhs = 4:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_divide-{T}(V2,V3,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #38: exists( #8, #29 ), references = 1, size of lhs = 6:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_divide-{F}(V4,V3,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #41: exists( #8, #1 ), references = 3, size of lhs = 6:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V5,V6), P_divide-{F}(V1,V4,V7), P_divide-{F}(V7,V2,V8) | P_divide-{T}(V6,V8,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #45: exists( #8, #43 ), references = 6, size of lhs = 5:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V4), P_divide-{F}(V3,V5,V1), P_divide-{F}(V5,V2,V6) | P_divide-{T}(V4,V6,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #54: exists( #8, #52 ), references = 3, size of lhs = 5:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V2,V0), V3 == V2, P_divide-{F}(V4,V1,V3) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #58: exists( #8, #56 ), references = 7, size of lhs = 2:
% 2.52/2.70 P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V1,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #64: exists( #8, #62 ), references = 1, size of lhs = 6:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3), P_c-{F}(V4) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #66: exists( #13, #63 ), references = 1, size of lhs = 5:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_divide-{F}(V2,V2,V3) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #69: exists( #8, #5 ), references = 6, size of lhs = 4:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V2,V0) | P_divide-{T}(V4,V3,V0)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #76: exists( #8, #74 ), references = 1, size of lhs = 5:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V3), P_divide-{F}(V1,V4,V5), P_divide-{F}(V4,V2,V6), P_divide-{F}(V3,V6,V5) | P_divide-{T}(V5,V2,V5)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #91: exists( #8, #88 ), references = 3, size of lhs = 5:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V2), P_divide-{F}(V3,V1,V2), P_divide-{F}(V4,V1,V0), P_divide-{F}(V5,V3,V4) | P_divide-{T}(V5,V1,V2)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #99: exists( #8, #97 ), references = 8, size of lhs = 7:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V2,V0), P_divide-{F}(V3,V2,V0), P_divide-{F}(V4,V2,V5), P_divide-{F}(V4,V6,V1), P_divide-{F}(V7,V2,V5), P_divide-{F}(V6,V7,V3) | P_divide-{T}(V6,V2,V5)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #109: mergings( V4 == V5, V5 == V6; #106 ), references = 1, size of lhs = 11:
% 2.52/2.70 P_identity-{F}(V0), P_zero-{F}(V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V4,V3,V1), P_divide-{F}(V5,V3,V5), P_divide-{F}(V6,V3,V5), P_divide-{F}(V7,V6,V4), P_divide-{F}(V2,V5,V8), P_divide-{F}(V8,V7,V1), P_divide-{F}(V5,V2,V9), P_divide-{F}(V9,V7,V1) | P_divide-{T}(V2,V7,V1)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #127: mergings( V4 == V5, V5 == V6, V3 == V7; #123 ), references = 1, size of lhs = 16:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V4,V3,V0), P_divide-{F}(V2,V3,V5), P_c-{F}(V6), P_divide-{F}(V6,V2,V6), P_divide-{F}(V7,V6,V0), P_divide-{F}(V4,V8,V7), P_divide-{F}(V8,V3,V9), P_divide-{F}(V10,V3,V9), P_divide-{F}(V6,V10,V11), P_divide-{F}(V11,V3,V0), P_divide-{F}(V8,V4,V12), P_divide-{F}(V12,V6,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #132: mergings( V4 == V5, V5 == V6, V3 == V7; #128 ), references = 2, size of lhs = 14:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V4,V3,V0), P_divide-{F}(V2,V3,V5), P_c-{F}(V6), P_divide-{F}(V6,V2,V6), P_divide-{F}(V7,V6,V0), P_divide-{F}(V4,V8,V7), P_divide-{F}(V6,V8,V9), P_divide-{F}(V9,V3,V0), P_divide-{F}(V8,V4,V10), P_divide-{F}(V10,V6,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #141: exists( #8, #139 ), references = 3, size of lhs = 2:
% 2.52/2.70 P_zero-{F}(V0), #-{F} V1 | P_divide-{T}(V1,V0,V1)
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #147: mergings( V1 == V4; #145 ), references = 2, size of lhs = 5:
% 2.52/2.70 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1), P_b-{F}(V2), P_divide-{F}(V0,V2,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #150: exists( #12, #148 ), references = 1, size of lhs = 3:
% 2.52/2.70 P_a-{F}(V0), P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #181: mergings( V3 == V5, V5 == V6, V4 == V7; #177 ), references = 2, size of lhs = 17:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_c-{F}(V5), P_divide-{F}(V5,V3,V6), P_divide-{F}(V5,V2,V7), P_divide-{F}(V8,V7,V0), P_divide-{F}(V9,V7,V0), P_divide-{F}(V10,V11,V8), P_divide-{F}(V11,V10,V9), P_divide-{F}(V11,V12,V6), P_divide-{F}(V10,V12,V0), P_divide-{F}(V13,V12,V6), P_divide-{F}(V7,V13,V14), P_divide-{F}(V14,V12,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #186: mergings( V3 == V5, V5 == V6, V4 == V7; #182 ), references = 1, size of lhs = 14:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V2,V3,V4), P_c-{F}(V5), P_divide-{F}(V5,V2,V6), P_divide-{F}(V7,V3,V0), P_divide-{F}(V7,V5,V8), P_divide-{F}(V8,V6,V0), P_divide-{F}(V5,V7,V9), P_divide-{F}(V9,V6,V0), P_divide-{F}(V6,V5,V10), P_divide-{F}(V10,V3,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #196: mergings( V6 == V10, V3 == V4, V4 == V10, V10 == V7, V5 == V8; #190 ), references = 1, size of lhs = 8:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_divide-{F}(V0,V3,V0), P_divide-{F}(V2,V3,V0), P_c-{F}(V4), P_divide-{F}(V2,V4,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #237: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V9; #231 ), references = 1, size of lhs = 26:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V0), P_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_divide-{F}(V3,V4,V5), P_c-{F}(V6), P_divide-{F}(V6,V4,V7), P_divide-{F}(V6,V3,V8), P_divide-{F}(V1,V9,V0), P_divide-{F}(V10,V9,V7), P_divide-{F}(V11,V9,V7), P_divide-{F}(V12,V9,V0), P_divide-{F}(V13,V1,V0), P_divide-{F}(V14,V8,V0), P_divide-{F}(V12,V15,V14), P_divide-{F}(V15,V12,V16), P_divide-{F}(V16,V8,V0), P_divide-{F}(V15,V11,V17), P_divide-{F}(V17,V9,V0), P_divide-{F}(V8,V15,V18), P_divide-{F}(V18,V9,V0), P_divide-{F}(V19,V15,V13), P_divide-{F}(V10,V19,V20), P_divide-{F}(V20,V15,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #246: mergings( V4 == V5, V5 == V7, V7 == V9, V3 == V6, V6 == V10; #240 ), references = 1, size of lhs = 25:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V2,V1,V0), P_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), P_divide-{F}(V4,V5,V6), P_c-{F}(V7), P_divide-{F}(V7,V5,V8), P_divide-{F}(V7,V4,V9), P_divide-{F}(V1,V10,V0), P_divide-{F}(V11,V10,V8), P_divide-{F}(V12,V10,V8), P_divide-{F}(V13,V10,V0), P_divide-{F}(V11,V2,V14), P_divide-{F}(V14,V15,V0), P_divide-{F}(V13,V15,V16), P_divide-{F}(V16,V9,V0), P_divide-{F}(V15,V13,V17), P_divide-{F}(V17,V9,V0), P_divide-{F}(V15,V12,V18), P_divide-{F}(V18,V10,V0), P_divide-{F}(V9,V15,V19), P_divide-{F}(V19,V10,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #253: mergings( V4 == V5, V5 == V7, V7 == V10, V3 == V6, V6 == V11; #247 ), references = 1, size of lhs = 22:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V0), P_divide-{F}(V2,V1,V0), P_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), P_divide-{F}(V1,V5,V0), P_divide-{F}(V4,V5,V6), P_c-{F}(V7), P_divide-{F}(V7,V4,V8), P_divide-{F}(V9,V5,V0), P_divide-{F}(V7,V2,V10), P_divide-{F}(V10,V11,V0), P_divide-{F}(V9,V11,V12), P_divide-{F}(V12,V8,V0), P_divide-{F}(V11,V9,V13), P_divide-{F}(V13,V8,V0), P_divide-{F}(V11,V7,V14), P_divide-{F}(V14,V5,V0), P_divide-{F}(V8,V11,V15), P_divide-{F}(V15,V5,V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #264: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V10; #258 ), references = 1, size of lhs = 11:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V0), P_identity-{F}(V2), P_a-{F}(V3), P_divide-{F}(V3,V1,V0), P_b-{F}(V4), P_divide-{F}(V1,V4,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V3,V4,V5), P_c-{F}(V6) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #271: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V8; #265 ), references = 1, size of lhs = 10:
% 2.52/2.70 P_zero-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V0,V1,V0), P_identity-{F}(V2), P_a-{F}(V3), P_divide-{F}(V3,V1,V0), P_b-{F}(V4), P_divide-{F}(V1,V4,V0), P_divide-{F}(V0,V4,V0), P_divide-{F}(V3,V4,V5) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #279: mergings( V1 == V2, V2 == V3, V3 == V5; #275 ), references = 1, size of lhs = 3:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #284: mergings( V1 == V2, V2 == V3, V3 == V5; #280 ), references = 1, size of lhs = 2:
% 2.52/2.70 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #286: exists( #10, #280 ), references = 1, size of lhs = 1:
% 2.52/2.70 P_zero-{F}(V0) | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 #288: exists( #9, #285 ), references = 1, size of lhs = 0:
% 2.52/2.70 FALSE | FALSE
% 2.52/2.70 (used 0 times, uses = {})
% 2.52/2.70
% 2.52/2.70 number of learnt formulas = 35
% 2.52/2.70
% 2.52/2.70
% 2.52/2.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/2.70
% 2.52/2.70 randbase = 1
%------------------------------------------------------------------------------