TSTP Solution File: GRP558-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:04:06 EDT 2022
% Result : Unsatisfiable 1.01s 1.18s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 13:55:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.01/1.18 GeoParameters:
% 1.01/1.18
% 1.01/1.18 tptp_input = 1
% 1.01/1.18 tptp_output = 0
% 1.01/1.18 nonempty = 1
% 1.01/1.18 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18
% 1.01/1.18 RuleSystem INPUT:
% 1.01/1.18
% 1.01/1.18 Initial Rules:
% 1.01/1.18 #0: input, references = 9, size of lhs = 6:
% 1.01/1.18 P_divide-{F}(V1,V2,V3), P_divide-{F}(V0,V2,V4), P_divide-{F}(V3,V4,V5), P_inverse-{F}(V5,V6), P_divide-{F}(V0,V6,V7), V7 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #1: input, references = 6, size of lhs = 4:
% 1.01/1.18 P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #2: input, references = 8, size of lhs = 5:
% 1.01/1.18 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #3: input, references = 12, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #4: input, references = 15, size of lhs = 1:
% 1.01/1.18 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #5: input, references = 7, size of lhs = 2:
% 1.01/1.18 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #6: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_b2-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #7: input, references = 4, size of lhs = 0:
% 1.01/1.18 FALSE | EXISTS V0: P_a2-{T}(V0)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of initial rules = 8
% 1.01/1.18
% 1.01/1.18 Simplifiers:
% 1.01/1.18 #8: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #9: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #10: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #11: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #12: unsound, references = 3, size of lhs = 3:
% 1.01/1.18 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of simplifiers = 5
% 1.01/1.18
% 1.01/1.18 Learnt:
% 1.01/1.18 #14: exists( #3, #1 ), references = 41, size of lhs = 2:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #17: exists( #5, #15 ), references = 13, size of lhs = 5:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V5,V6,V4), P_divide-{F}(V7,V6,V3) | P_multiply-{T}(V5,V0,V7)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #21: exists( #5, #1 ), references = 2, size of lhs = 2:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #28: exists( #4, #26 ), references = 2, size of lhs = 7:
% 1.01/1.18 P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V0,V6,V7), P_divide-{F}(V8,V7,V5), P_divide-{F}(V9,V6,V8), V3 == V9 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #31: exists( #3, #28 ), references = 2, size of lhs = 5:
% 1.01/1.18 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V3,V2), P_divide-{F}(V4,V1,V5), P_divide-{F}(V6,V3,V5), V4 == V6 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #49: exists( #4, #43 ), references = 3, size of lhs = 7:
% 1.01/1.18 P_divide-{F}(V0,V1,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V4,V2,V5), P_divide-{F}(V3,V6,V7), P_divide-{F}(V7,V8,V5), P_divide-{F}(V9,V6,V8), V9 == V0 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #51: exists( #4, #45 ), references = 5, size of lhs = 10:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V4,V5), P_divide-{F}(V6,V4,V7), P_divide-{F}(V5,V7,V8), P_divide-{F}(V6,V1,V9), P_divide-{F}(V2,V10,V11), P_divide-{F}(V11,V12,V8), P_divide-{F}(V13,V10,V12), V9 == V13 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #53: exists( #3, #51 ), references = 4, size of lhs = 8:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V4,V5), P_divide-{F}(V2,V6,V5), P_divide-{F}(V7,V4,V8), P_divide-{F}(V7,V1,V9), P_divide-{F}(V10,V6,V8), V9 == V10 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #57: mergings( V6 == V5; #55 ), references = 16, size of lhs = 5:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V2), P_divide-{F}(V3,V1,V4), #-{F} V5 | P_multiply-{T}(V5,V0,V5)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #79: exists( #4, #73 ), references = 2, size of lhs = 4:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V3,V1), P_divide-{F}(V5,V2,V4) | P_inverse-{T}(V1,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #81: mergings( V5 == V6; #76 ), references = 1, size of lhs = 4:
% 1.01/1.18 P_divide-{F}(V0,V1,V0), P_divide-{F}(V0,V0,V2), P_divide-{F}(V3,V3,V2), P_divide-{F}(V0,V4,V3) | P_inverse-{T}(V2,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #101: exists( #5, #97 ), references = 14, size of lhs = 7:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V4,V2), P_divide-{F}(V4,V5,V6), P_divide-{F}(V3,V7,V6), P_divide-{F}(V8,V5,V9), P_divide-{F}(V10,V7,V9) | P_multiply-{T}(V8,V0,V10)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #115: exists( #4, #109 ), references = 1, size of lhs = 9:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V0), P_divide-{F}(V1,V1,V0), P_divide-{F}(V2,V2,V0), P_divide-{F}(V3,V4,V0), P_divide-{F}(V4,V5,V6), P_divide-{F}(V3,V7,V6), P_divide-{F}(V2,V5,V8), P_divide-{F}(V1,V7,V8) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #131: mergings( V10 == V15; #128 ), references = 1, size of lhs = 10:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V3,V1,V4), V4 == V2, P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V5,V8), P_divide-{F}(V9,V7,V10), P_divide-{F}(V9,V11,V8), P_divide-{F}(V12,V11,V6), P_divide-{F}(V2,V13,V12) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #132: exists( #4, #127 ), references = 1, size of lhs = 13:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V2,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V6,V8,V5), P_divide-{F}(V9,V8,V3), P_divide-{F}(V10,V9,V11), P_inverse-{F}(V11,V12), P_divide-{F}(V9,V12,V13), P_divide-{F}(V10,V14,V15), P_divide-{F}(V15,V16,V1), P_divide-{F}(V17,V14,V16), V13 == V17 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #155: exists( #4, #153 ), references = 1, size of lhs = 11:
% 1.01/1.18 P_divide-{F}(V0,V1,V2), P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V5,V4), P_divide-{F}(V6,V3,V7), P_divide-{F}(V8,V5,V7), P_divide-{F}(V9,V10,V2), P_divide-{F}(V10,V11,V12), P_divide-{F}(V9,V13,V12), P_divide-{F}(V6,V11,V14), P_divide-{F}(V15,V13,V14), V8 == V15 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #176: exists( #4, #170 ), references = 1, size of lhs = 12:
% 1.01/1.18 P_divide-{F}(V0,V1,V2), P_divide-{F}(V1,V3,V4), P_divide-{F}(V0,V5,V4), P_divide-{F}(V6,V3,V7), P_divide-{F}(V8,V5,V7), P_divide-{F}(V8,V9,V2), V9 == V6, P_divide-{F}(V10,V11,V2), P_divide-{F}(V11,V12,V13), P_divide-{F}(V10,V14,V13), P_divide-{F}(V9,V14,V15), P_divide-{F}(V16,V12,V15) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #177: exists( #4, #171 ), references = 1, size of lhs = 13:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V5,V7,V8), P_divide-{F}(V7,V9,V6), P_divide-{F}(V10,V9,V4), P_divide-{F}(V11,V12,V8), P_divide-{F}(V12,V13,V14), P_divide-{F}(V11,V15,V14), P_divide-{F}(V2,V15,V16), P_divide-{F}(V17,V13,V16), V17 == V10 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #178: exists( #4, #172 ), references = 1, size of lhs = 14:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V3,V4,V5), P_divide-{F}(V2,V6,V5), P_divide-{F}(V0,V4,V7), P_divide-{F}(V8,V6,V7), P_divide-{F}(V8,V8,V9), P_divide-{F}(V8,V10,V9), P_divide-{F}(V11,V12,V1), P_divide-{F}(V12,V13,V14), P_divide-{F}(V11,V15,V14), P_divide-{F}(V10,V15,V16), P_divide-{F}(V17,V13,V16), V8 == V17 | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #183: mergings( V13 == V12; #179 ), references = 2, size of lhs = 9:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V3,V1), P_divide-{F}(V3,V4,V5), P_divide-{F}(V2,V6,V5), P_divide-{F}(V7,V4,V8), P_divide-{F}(V9,V6,V8), P_divide-{F}(V9,V10,V1), V10 == V7, P_divide-{F}(V0,V11,V12) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #185: mergings( V14 == V13; #180 ), references = 1, size of lhs = 10:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V0,V2,V1), P_divide-{F}(V0,V3,V4), P_divide-{F}(V5,V3,V6), P_divide-{F}(V5,V7,V8), P_divide-{F}(V7,V9,V6), P_divide-{F}(V10,V9,V4), V2 == V10, P_divide-{F}(V11,V11,V8), P_divide-{F}(V11,V12,V13) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #187: mergings( V14 == V13; #181 ), references = 1, size of lhs = 11:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V4,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V3,V7,V6), P_divide-{F}(V0,V5,V8), P_divide-{F}(V9,V7,V8), P_divide-{F}(V9,V9,V10), P_divide-{F}(V9,V11,V10), V9 == V11, P_divide-{F}(V2,V12,V13) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #199: mergings( V0 == V3; #197 ), references = 3, size of lhs = 8:
% 1.01/1.18 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_divide-{F}(V3,V4,V1), P_divide-{F}(V4,V5,V6), P_divide-{F}(V3,V7,V6), P_divide-{F}(V0,V5,V8), P_divide-{F}(V9,V7,V8), P_divide-{F}(V2,V10,V11) | P_inverse-{T}(V1,V1)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #204: exists( #3, #0 ), references = 5, size of lhs = 4:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V5,V2), P_divide-{F}(V6,V5,V3) | P_divide-{T}(V6,V1,V4)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #216: mergings( V3 == V4; #213 ), references = 2, size of lhs = 14:
% 1.01/1.18 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V2), P_divide-{F}(V3,V1,V4), P_divide-{F}(V5,V1,V6), P_divide-{F}(V6,V7,V8), P_divide-{F}(V5,V9,V10), P_inverse-{F}(V10,V11), P_divide-{F}(V9,V12,V13), P_divide-{F}(V14,V12,V15), P_divide-{F}(V13,V15,V16), P_divide-{F}(V16,V7,V17), P_divide-{F}(V17,V8,V18), P_divide-{F}(V14,V11,V19) | P_inverse-{T}(V18,V19)
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #231: mergings( V2 == V4; #229 ), references = 2, size of lhs = 4:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V0), P_inverse-{F}(V2,V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #254: mergings( V10 == V12, V9 == V5; #251 ), references = 1, size of lhs = 13:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V1,V3), P_divide-{F}(V4,V5,V4), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), P_divide-{F}(V8,V8,V7), P_divide-{F}(V8,V5,V9), P_divide-{F}(V0,V10,V11), P_divide-{F}(V4,V10,V12), P_divide-{F}(V11,V12,V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #257: mergings( V6 == V8, V5 == V12; #250 ), references = 1, size of lhs = 15:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V0), P_divide-{F}(V0,V1,V2), P_divide-{F}(V2,V3,V0), P_divide-{F}(V4,V1,V3), P_divide-{F}(V4,V5,V5), P_inverse-{F}(V6,V5), P_inverse-{F}(V7,V5), P_divide-{F}(V8,V8,V7), P_divide-{F}(V8,V5,V9), P_divide-{F}(V4,V10,V4), P_inverse-{F}(V11,V10), P_inverse-{F}(V12,V10), P_divide-{F}(V13,V13,V12), P_divide-{F}(V13,V10,V14) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #274: exists( #3, #270 ), references = 1, size of lhs = 2:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #284: mergings( V5 == V6; #282 ), references = 2, size of lhs = 11:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V1), P_multiply-{F}(V2,V1,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V2,V4,V5), P_inverse-{F}(V6,V4), P_divide-{F}(V7,V7,V6), P_divide-{F}(V7,V4,V8), P_divide-{F}(V0,V9,V10), P_divide-{F}(V5,V9,V11), P_divide-{F}(V10,V11,V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #296: exists( #4, #292 ), references = 1, size of lhs = 7:
% 1.01/1.18 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V3,V4,V6), P_divide-{F}(V6,V5,V3) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #297: exists( #4, #293 ), references = 2, size of lhs = 13:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V1), P_divide-{F}(V1,V2,V3), P_divide-{F}(V3,V4,V1), P_divide-{F}(V5,V2,V4), P_inverse-{F}(V6,V7), P_divide-{F}(V5,V7,V8), P_inverse-{F}(V9,V7), P_divide-{F}(V10,V10,V9), P_divide-{F}(V10,V7,V11), P_divide-{F}(V0,V12,V13), P_divide-{F}(V8,V12,V14), P_divide-{F}(V13,V14,V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #322: exists( #3, #320 ), references = 1, size of lhs = 2:
% 1.01/1.18 P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #324: exists( #7, #321 ), references = 1, size of lhs = 1:
% 1.01/1.18 P_b2-{F}(V0) | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 #326: exists( #6, #323 ), references = 1, size of lhs = 0:
% 1.01/1.18 FALSE | FALSE
% 1.01/1.18 (used 0 times, uses = {})
% 1.01/1.18
% 1.01/1.18 number of learnt formulas = 35
% 1.01/1.18
% 1.01/1.18
% 1.01/1.18 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.18
% 1.01/1.18 randbase = 1
%------------------------------------------------------------------------------