TSTP Solution File: GRP495-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:03:59 EDT 2022
% Result : Unsatisfiable 3.16s 3.34s
% Output : Refutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 14:27:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.16/3.34 GeoParameters:
% 3.16/3.34
% 3.16/3.34 tptp_input = 1
% 3.16/3.34 tptp_output = 0
% 3.16/3.34 nonempty = 1
% 3.16/3.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.16/3.34
% 3.16/3.34
% 3.16/3.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.34
% 3.16/3.34 RuleSystem INPUT:
% 3.16/3.34
% 3.16/3.34 Initial Rules:
% 3.16/3.34 #0: input, references = 8, size of lhs = 9:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V5), P_double_divide-{F}(V3,V4,V6), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V2,V4,V8), P_double_divide-{F}(V7,V8,V9), P_double_divide-{F}(V5,V9,V10), V10 == V3 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1: input, references = 6, size of lhs = 6:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_multiply-{F}(V2,V3,V4), P_double_divide-{F}(V3,V2,V5), P_double_divide-{F}(V5,V0,V6), V4 == V6 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #2: input, references = 5, size of lhs = 5:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V0,V4), V3 == V4 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #3: input, references = 4, size of lhs = 5:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_double_divide-{F}(V2,V3,V4), V0 == V4 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #4: input, references = 10, size of lhs = 9:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V8), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V2,V7,V8) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #5: input, references = 21, size of lhs = 2:
% 3.16/3.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_double_divide-{T}(V0,V1,V2)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #6: input, references = 4, size of lhs = 0:
% 3.16/3.34 FALSE | EXISTS V0: P_identity-{T}(V0)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #7: input, references = 13, size of lhs = 2:
% 3.16/3.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #8: input, references = 19, size of lhs = 1:
% 3.16/3.34 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #9: input, references = 4, size of lhs = 0:
% 3.16/3.34 FALSE | EXISTS V0: P_a3-{T}(V0)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #10: input, references = 5, size of lhs = 0:
% 3.16/3.34 FALSE | EXISTS V0: P_b3-{T}(V0)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #11: input, references = 7, size of lhs = 0:
% 3.16/3.34 FALSE | EXISTS V0: P_c3-{T}(V0)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 number of initial rules = 12
% 3.16/3.34
% 3.16/3.34 Simplifiers:
% 3.16/3.34 #12: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #13: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #14: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #15: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #16: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_a3-{F}(V0), P_a3-{F}(V1), V0 == V1 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #17: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_b3-{F}(V0), P_b3-{F}(V1), V0 == V1 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #18: unsound, references = 3, size of lhs = 3:
% 3.16/3.34 P_c3-{F}(V0), P_c3-{F}(V1), V0 == V1 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 number of simplifiers = 7
% 3.16/3.34
% 3.16/3.34 Learnt:
% 3.16/3.34 #21: exists( #5, #3 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_double_divide-{F}(V1,V2,V3), V0 == V3 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #22: exists( #5, #2 ), references = 10, size of lhs = 2:
% 3.16/3.34 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | P_double_divide-{T}(V0,V0,V1)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #24: exists( #5, #19 ), references = 25, size of lhs = 2:
% 3.16/3.34 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_double_divide-{T}(V1,V2,V0)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #27: exists( #8, #25 ), references = 9, size of lhs = 3:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3) | P_inverse-{T}(V0,V3)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #32: exists( #5, #2 ), references = 22, size of lhs = 3:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3) | P_double_divide-{T}(V2,V0,V3)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #34: exists( #7, #1 ), references = 17, size of lhs = 4:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V0,V3), P_double_divide-{F}(V4,V5,V2) | P_multiply-{T}(V5,V4,V3)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #37: exists( #5, #0 ), references = 62, size of lhs = 7:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V2,V3), P_double_divide-{F}(V2,V4,V5), P_double_divide-{F}(V6,V4,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V5,V9) | P_double_divide-{T}(V3,V9,V6)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #43: exists( #7, #41 ), references = 9, size of lhs = 2:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V1,V2,V0) | P_multiply-{T}(V2,V1,V0)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #50: exists( #8, #48 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_a3-{F}(V0), P_b3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #58: mergings( V3 == V4; #56 ), references = 12, size of lhs = 4:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V3,V4), P_multiply-{F}(V3,V2,V5) | P_inverse-{T}(V4,V5)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #72: mergings( V3 == V4; #70 ), references = 1, size of lhs = 9:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V2,V3), P_double_divide-{F}(V4,V3,V1), V4 == V0, P_double_divide-{F}(V2,V5,V6), P_double_divide-{F}(V4,V5,V7), P_double_divide-{F}(V7,V1,V8), P_double_divide-{F}(V8,V6,V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #78: mergings( V3 == V4, V4 == V5; #75 ), references = 1, size of lhs = 11:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V2,V3,V1), P_double_divide-{F}(V4,V4,V5), P_double_divide-{F}(V4,V6,V3), P_double_divide-{F}(V7,V5,V6), P_double_divide-{F}(V4,V8,V9), P_double_divide-{F}(V7,V8,V10), P_double_divide-{F}(V10,V1,V11), P_double_divide-{F}(V11,V9,V1) | P_double_divide-{T}(V0,V4,V7)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #98: mergings( V3 == V4; #96 ), references = 1, size of lhs = 11:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V5,V2), P_double_divide-{F}(V6,V5,V7), P_double_divide-{F}(V3,V7,V8), P_double_divide-{F}(V6,V9,V10), P_double_divide-{F}(V11,V10,V8), P_double_divide-{F}(V12,V1,V11), P_double_divide-{F}(V13,V9,V12), V4 == V13 | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #109: mergings( V9 == V10, V3 == V5, V5 == V6, V4 == V7, V6 == V8, V7 == V10; #102 ), references = 2, size of lhs = 8:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V0,V4), P_double_divide-{F}(V4,V1,V5), V3 == V5, P_double_divide-{F}(V6,V7,V5) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #118: mergings( V0 == V4, V3 == V5; #115 ), references = 19, size of lhs = 10:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_double_divide-{F}(V0,V1,V2), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V3,V1,V4), P_double_divide-{F}(V3,V5,V6), P_double_divide-{F}(V6,V1,V7), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V9,V5,V8), P_double_divide-{F}(V10,V11,V4) | P_double_divide-{T}(V0,V9,V4)
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #162: mergings( V3 == V7, V12 == V13, V5 == V8, V7 == V9, V2 == V9, V4 == V13, V9 == V8, V6 == V8, V8 == V13, V13 == V10, V11 == V10; #150 ), references = 1, size of lhs = 6:
% 3.16/3.34 P_a3-{F}(V0), P_b3-{F}(V0), P_multiply-{F}(V0,V0,V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_c3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #169: exists( #8, #167 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0), P_c3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #171: exists( #11, #168 ), references = 1, size of lhs = 3:
% 3.16/3.34 P_a3-{F}(V0), P_b3-{F}(V0), P_identity-{F}(V0) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #206: mergings( V3 == V7, V9 == V10, V13 == V14, V5 == V8, V7 == V10, V2 == V10, V4 == V14, V10 == V8, V6 == V8, V8 == V14, V14 == V11, V12 == V11; #193 ), references = 1, size of lhs = 5:
% 3.16/3.34 P_a3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #212: exists( #8, #210 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_a3-{F}(V0), P_c3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #266: mergings( V7 == V10, V8 == V11, V11 == V12, V19 == V20, V6 == V15, V3 == V5, V5 == V15, V4 == V10, V9 == V20, V15 == V10, V10 == V12, V12 == V20, V20 == V13, V14 == V13; #251 ), references = 1, size of lhs = 8:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V5,V3) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #282: mergings( V7 == V10, V8 == V11, V11 == V12, V19 == V20, V6 == V15, V3 == V5, V5 == V15, V4 == V10, V9 == V20, V15 == V10, V10 == V12, V12 == V20, V20 == V13, V14 == V13; #267 ), references = 1, size of lhs = 8:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2), P_double_divide-{F}(V2,V1,V3), P_double_divide-{F}(V4,V5,V3) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #298: mergings( V7 == V10, V8 == V11, V11 == V12, V16 == V17, V6 == V15, V3 == V5, V5 == V15, V4 == V10, V9 == V17, V15 == V10, V10 == V12, V12 == V17, V17 == V13, V14 == V13; #283 ), references = 1, size of lhs = 6:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_multiply-{F}(V0,V1,V1), P_c3-{F}(V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #328: mergings( V3 == V7, V14 == V17, V15 == V18, V18 == V19, V23 == V24, V13 == V7, V4 == V17, V25 == V26, V5 == V8, V7 == V9, V2 == V8, V6 == V26, V8 == V10, V9 == V11, V10 == V12, V12 == V11, V11 == V17, V16 == V17, V17 == V19, V19 == V24, V24 == V26, V26 == V20, V21 == V20; #304 ), references = 1, size of lhs = 5:
% 3.16/3.34 P_a3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #334: exists( #8, #332 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1), P_c3-{F}(V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #336: exists( #11, #333 ), references = 1, size of lhs = 3:
% 3.16/3.34 P_a3-{F}(V0), P_identity-{F}(V0), P_b3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #338: exists( #10, #335 ), references = 1, size of lhs = 2:
% 3.16/3.34 P_a3-{F}(V0), P_identity-{F}(V0) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #386: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V8, V7 == V9; #380 ), references = 1, size of lhs = 9:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V2), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V4), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V6,V7,V5) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #393: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V8, V7 == V9; #387 ), references = 1, size of lhs = 9:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V2), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V4), P_double_divide-{F}(V4,V2,V5), P_double_divide-{F}(V6,V7,V5) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #400: mergings( V6 == V7, V3 == V5, V4 == V7, V5 == V8, V7 == V9; #394 ), references = 2, size of lhs = 7:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V1), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V2), P_c3-{F}(V4), P_multiply-{F}(V3,V4,V4) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #421: mergings( V3 == V7, V13 == V14, V5 == V8, V7 == V9, V2 == V9, V4 == V14, V9 == V8, V6 == V8, V8 == V14, V14 == V10, V11 == V10; #409 ), references = 1, size of lhs = 6:
% 3.16/3.34 P_b3-{F}(V0), P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_a3-{F}(V1), P_c3-{F}(V2), P_multiply-{F}(V0,V2,V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #431: exists( #8, #429 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_b3-{F}(V0), P_identity-{F}(V0), P_a3-{F}(V1), P_c3-{F}(V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #433: exists( #11, #430 ), references = 1, size of lhs = 3:
% 3.16/3.34 P_b3-{F}(V0), P_identity-{F}(V0), P_a3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #492: mergings( V7 == V8, V6 == V16, V16 == V17, V17 == V18, V33 == V34, V14 == V10, V3 == V5, V5 == V18, V4 == V8, V8 == V34, V18 == V9, V10 == V34, V15 == V34, V34 == V9, V11 == V9, V13 == V9, V9 == V19, V20 == V19, V19 == V21, V21 == V22, V23 == V22, V22 == V24, V25 == V24; #468 ), references = 2, size of lhs = 26:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_double_divide-{F}(V3,V2,V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V6,V5), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V2,V7,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V6,V13,V0), P_double_divide-{F}(V14,V15,V4), P_double_divide-{F}(V16,V4,V17), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V12,V19), P_double_divide-{F}(V20,V19,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V22,V16,V23), P_double_divide-{F}(V10,V23,V24), P_double_divide-{F}(V20,V0,V25), P_double_divide-{F}(V25,V24,V13) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #520: mergings( V9 == V10, V8 == V18, V18 == V19, V19 == V20, V35 == V36, V16 == V12, V3 == V5, V4 == V6, V5 == V7, V7 == V20, V6 == V10, V10 == V36, V20 == V11, V12 == V36, V17 == V36, V36 == V11, V13 == V11, V15 == V11, V11 == V21, V22 == V21, V21 == V23, V23 == V24, V25 == V24, V24 == V26, V27 == V26; #494 ), references = 1, size of lhs = 30:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_double_divide-{F}(V3,V2,V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V6,V5), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V2,V7,V8), P_double_divide-{F}(V9,V0,V8), P_double_divide-{F}(V0,V10,V9), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V6,V13,V0), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V14,V16,V17), P_double_divide-{F}(V18,V17,V4), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V20,V16,V19), P_double_divide-{F}(V20,V0,V21), P_double_divide-{F}(V21,V12,V22), P_double_divide-{F}(V23,V24,V4), P_double_divide-{F}(V25,V22,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V27,V15,V28), P_double_divide-{F}(V10,V28,V29), P_double_divide-{F}(V25,V0,V30), P_double_divide-{F}(V30,V29,V13) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #547: mergings( V9 == V10, V8 == V18, V18 == V19, V19 == V20, V32 == V33, V16 == V12, V3 == V5, V4 == V6, V5 == V7, V7 == V20, V6 == V10, V10 == V33, V20 == V11, V12 == V33, V17 == V33, V33 == V11, V13 == V11, V15 == V11, V11 == V21, V22 == V21, V21 == V23, V23 == V24, V25 == V24, V24 == V26, V27 == V26; #521 ), references = 2, size of lhs = 27:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_c3-{F}(V4), P_double_divide-{F}(V0,V5,V4), P_multiply-{F}(V3,V4,V6), P_multiply-{F}(V2,V6,V7), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V5,V12,V0), P_double_divide-{F}(V13,V0,V3), P_double_divide-{F}(V0,V14,V15), P_double_divide-{F}(V14,V16,V2), P_double_divide-{F}(V17,V16,V13), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V18,V11,V19), P_double_divide-{F}(V20,V19,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V22,V15,V23), P_double_divide-{F}(V9,V23,V24), P_double_divide-{F}(V20,V0,V25), P_double_divide-{F}(V25,V24,V12) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #590: mergings( V7 == V32, V15 == V16, V14 == V24, V24 == V25, V25 == V26, V3 == V29, V29 == V30, V38 == V39, V22 == V18, V40 == V41, V27 == V6, V30 == V32, V2 == V32, V4 == V41, V32 == V5, V6 == V41, V28 == V41, V41 == V5, V8 == V11, V10 == V12, V11 == V13, V13 == V26, V12 == V16, V16 == V39, V26 == V17, V18 == V39, V23 == V39, V39 == V17, V19 == V17, V21 == V17, V17 == V5, V45 == V47, V5 == V31, V31 == V33, V34 == V33; #554 ), references = 1, size of lhs = 21:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V0), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V7,V0,V0), P_double_divide-{F}(V8,V0,V7), P_double_divide-{F}(V6,V9,V0), P_double_divide-{F}(V10,V0,V4), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V10,V8,V12), P_double_divide-{F}(V13,V0,V0), P_double_divide-{F}(V14,V12,V13), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V0,V9) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #664: mergings( V6 == V15, V15 == V16, V25 == V26, V13 == V9, V3 == V5, V5 == V16, V4 == V7, V7 == V26, V16 == V8, V9 == V26, V14 == V26, V26 == V8, V10 == V8, V12 == V8, V8 == V17, V18 == V17, V17 == V19, V20 == V19; #643 ), references = 1, size of lhs = 17:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V5,V3,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V10,V0,V11), P_double_divide-{F}(V11,V8,V12), P_double_divide-{F}(V7,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V9,V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #686: mergings( V7 == V8, V8 == V9, V9 == V20, V20 == V15, V15 == V16, V16 == V25, V25 == V26, V27 == V28, V13 == V26, V14 == V26, V3 == V5, V5 == V6, V4 == V26, V6 == V10, V26 == V11, V10 == V12, V12 == V11, V11 == V28, V28 == V17, V18 == V17, V0 == V24; #644 ), references = 1, size of lhs = 23:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_double_divide-{F}(V3,V0,V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V5,V4,V7), P_double_divide-{F}(V8,V0,V4), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V6,V11,V0), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V7,V15), P_double_divide-{F}(V3,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V12,V3) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #704: mergings( V6 == V15, V15 == V16, V24 == V25, V13 == V9, V3 == V5, V5 == V16, V4 == V7, V7 == V25, V16 == V8, V9 == V25, V14 == V25, V25 == V8, V10 == V8, V12 == V8, V8 == V17, V18 == V17, V17 == V19; #645 ), references = 3, size of lhs = 34:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_double_divide-{F}(V4,V3,V5), P_c3-{F}(V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V6,V4,V8), P_double_divide-{F}(V9,V0,V0), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V7,V11,V0), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V8,V15), P_double_divide-{F}(V16,V12,V3), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V15,V17), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V20,V0,V19), P_double_divide-{F}(V0,V21,V20), P_double_divide-{F}(V22,V23,V5), P_double_divide-{F}(V24,V5,V25), P_double_divide-{F}(V25,V0,V26), P_double_divide-{F}(V26,V10,V27), P_double_divide-{F}(V28,V27,V29), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V30,V24,V31), P_double_divide-{F}(V21,V31,V32), P_double_divide-{F}(V28,V0,V33), P_double_divide-{F}(V33,V32,V11) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #731: mergings( V8 == V17, V17 == V18, V27 == V28, V15 == V11, V3 == V5, V4 == V6, V5 == V7, V7 == V18, V6 == V9, V9 == V28, V18 == V10, V11 == V28, V16 == V28, V28 == V10, V12 == V10, V14 == V10, V10 == V19, V20 == V19, V19 == V21, V22 == V21; #708 ), references = 1, size of lhs = 19:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_a3-{F}(V2), P_b3-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c3-{F}(V5), P_multiply-{F}(V4,V5,V6), P_double_divide-{F}(V7,V0,V6), P_double_divide-{F}(V8,V0,V5), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V9,V11,V3), P_double_divide-{F}(V12,V11,V8), P_double_divide-{F}(V7,V12,V13), P_double_divide-{F}(V13,V0,V14), P_double_divide-{F}(V14,V15,V2), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V0,V10) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #755: mergings( V9 == V10, V10 == V11, V11 == V22, V22 == V17, V17 == V18, V18 == V27, V27 == V28, V29 == V30, V15 == V28, V16 == V28, V3 == V5, V4 == V6, V5 == V7, V7 == V8, V6 == V28, V8 == V12, V28 == V13, V12 == V14, V14 == V13, V13 == V30, V30 == V19, V20 == V19, V1 == V26; #709 ), references = 1, size of lhs = 25:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_double_divide-{F}(V3,V0,V4), P_c3-{F}(V5), P_double_divide-{F}(V0,V6,V5), P_double_divide-{F}(V7,V0,V4), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V8,V0,V9), P_double_divide-{F}(V0,V9,V10), P_double_divide-{F}(V6,V10,V0), P_double_divide-{F}(V11,V0,V5), P_double_divide-{F}(V0,V12,V13), P_double_divide-{F}(V12,V14,V4), P_double_divide-{F}(V15,V14,V11), P_double_divide-{F}(V3,V15,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V18,V3), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V0,V13) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #775: mergings( V8 == V17, V17 == V18, V26 == V27, V15 == V11, V3 == V5, V4 == V6, V5 == V7, V7 == V18, V6 == V9, V9 == V27, V18 == V10, V11 == V27, V16 == V27, V27 == V10, V12 == V10, V14 == V10, V10 == V19, V20 == V19, V19 == V21; #710 ), references = 1, size of lhs = 34:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_a3-{F}(V3), P_b3-{F}(V4), P_double_divide-{F}(V4,V3,V5), P_c3-{F}(V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V7,V8,V0), P_double_divide-{F}(V0,V6,V9), P_double_divide-{F}(V9,V0,V10), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V11,V8,V12), P_double_divide-{F}(V12,V0,V13), P_double_divide-{F}(V13,V14,V3), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V0,V17,V16), P_double_divide-{F}(V18,V0,V16), P_double_divide-{F}(V17,V19,V4), P_double_divide-{F}(V8,V19,V20), P_double_divide-{F}(V20,V0,V6), P_double_divide-{F}(V21,V0,V0), P_double_divide-{F}(V22,V0,V21), P_double_divide-{F}(V23,V24,V5), P_double_divide-{F}(V25,V5,V26), P_double_divide-{F}(V26,V0,V27), P_double_divide-{F}(V27,V22,V28), P_double_divide-{F}(V18,V28,V29), P_double_divide-{F}(V29,V0,V30), P_double_divide-{F}(V30,V25,V4) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #843: mergings( V9 == V6, V7 == V6, V6 == V10, V10 == V11, V11 == V12, V24 == V25, V29 == V31, V3 == V5, V5 == V8, V4 == V12, V8 == V12, V12 == V25, V25 == V13, V15 == V13; #828 ), references = 1, size of lhs = 35:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_a3-{F}(V4), P_b3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_c3-{F}(V7), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V7,V5,V9), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V8,V12,V0), P_double_divide-{F}(V13,V0,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V13,V15,V4), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V9,V6), P_double_divide-{F}(V18,V19,V6), P_double_divide-{F}(V20,V6,V21), P_double_divide-{F}(V21,V0,V22), P_double_divide-{F}(V22,V14,V23), P_double_divide-{F}(V24,V20,V12), P_double_divide-{F}(V25,V0,V24), P_double_divide-{F}(V26,V6,V27), P_double_divide-{F}(V27,V0,V28), P_double_divide-{F}(V28,V11,V29), P_double_divide-{F}(V25,V29,V30), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V31,V26,V23) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #882: mergings( V9 == V6, V7 == V6, V6 == V10, V10 == V11, V11 == V12, V24 == V25, V29 == V31, V3 == V5, V5 == V8, V4 == V12, V8 == V12, V12 == V25, V25 == V13, V15 == V13; #867 ), references = 1, size of lhs = 36:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_a3-{F}(V4), P_b3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_c3-{F}(V7), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V7,V5,V9), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V8,V12,V0), P_double_divide-{F}(V13,V0,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V13,V15,V4), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V17,V9,V18), P_double_divide-{F}(V19,V20,V18), P_double_divide-{F}(V21,V18,V22), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V14,V24), P_double_divide-{F}(V25,V21,V12), P_double_divide-{F}(V26,V0,V25), P_double_divide-{F}(V27,V28,V6), P_double_divide-{F}(V29,V6,V30), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V31,V11,V32), P_double_divide-{F}(V26,V32,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V34,V29,V24) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #901: mergings( V11 == V8, V9 == V8, V8 == V12, V12 == V13, V13 == V14, V25 == V26, V30 == V32, V3 == V5, V4 == V6, V5 == V7, V7 == V10, V6 == V14, V10 == V14, V14 == V26, V26 == V15, V17 == V15; #884 ), references = 1, size of lhs = 37:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_a3-{F}(V4), P_b3-{F}(V5), P_double_divide-{F}(V5,V4,V6), P_c3-{F}(V7), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V7,V5,V9), P_double_divide-{F}(V10,V0,V0), P_double_divide-{F}(V11,V0,V10), P_double_divide-{F}(V8,V12,V0), P_double_divide-{F}(V13,V0,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V13,V15,V4), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V16,V0,V17), P_double_divide-{F}(V18,V0,V17), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V19,V21,V9), P_double_divide-{F}(V22,V21,V18), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V14,V24), P_double_divide-{F}(V25,V20,V12), P_double_divide-{F}(V26,V0,V25), P_double_divide-{F}(V27,V28,V6), P_double_divide-{F}(V29,V6,V30), P_double_divide-{F}(V30,V0,V31), P_double_divide-{F}(V31,V11,V32), P_double_divide-{F}(V26,V32,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V34,V29,V24) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #922: mergings( V13 == V10, V11 == V10, V10 == V14, V14 == V15, V15 == V16, V25 == V26, V30 == V32, V3 == V5, V4 == V6, V5 == V7, V6 == V8, V7 == V9, V9 == V12, V8 == V16, V12 == V16, V16 == V26, V26 == V17, V19 == V17; #903 ), references = 2, size of lhs = 38:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_a3-{F}(V4), P_b3-{F}(V5), P_c3-{F}(V6), P_double_divide-{F}(V0,V7,V6), P_double_divide-{F}(V6,V5,V8), P_double_divide-{F}(V9,V0,V0), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V7,V11,V0), P_double_divide-{F}(V12,V0,V0), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V12,V14,V4), P_double_divide-{F}(V14,V0,V15), P_double_divide-{F}(V15,V0,V16), P_double_divide-{F}(V17,V0,V16), P_double_divide-{F}(V18,V0,V5), P_double_divide-{F}(V0,V19,V20), P_double_divide-{F}(V19,V21,V4), P_double_divide-{F}(V22,V21,V18), P_double_divide-{F}(V22,V0,V23), P_double_divide-{F}(V23,V10,V24), P_double_divide-{F}(V0,V25,V26), P_double_divide-{F}(V25,V27,V8), P_double_divide-{F}(V28,V27,V17), P_double_divide-{F}(V28,V0,V29), P_double_divide-{F}(V29,V13,V30), P_double_divide-{F}(V31,V26,V11), P_double_divide-{F}(V32,V0,V31), P_double_divide-{F}(V32,V24,V33), P_double_divide-{F}(V33,V0,V34), P_double_divide-{F}(V34,V20,V30) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #940: mergings( V4 == V7, V7 == V5, V19 == V20, V3 == V5, V6 == V5, V24 == V26, V2 == V5, V5 == V20, V20 == V8; #930 ), references = 2, size of lhs = 27:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V4,V0,V0), P_a3-{F}(V5), P_b3-{F}(V6), P_c3-{F}(V7), P_double_divide-{F}(V0,V8,V7), P_double_divide-{F}(V7,V6,V9), P_double_divide-{F}(V10,V0,V9), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V12,V0,V0), P_double_divide-{F}(V13,V0,V12), P_double_divide-{F}(V8,V14,V0), P_double_divide-{F}(V15,V0,V6), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V15,V13,V17), P_double_divide-{F}(V18,V11,V14), P_double_divide-{F}(V19,V0,V18), P_double_divide-{F}(V19,V17,V20), P_double_divide-{F}(V20,V0,V0) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #972: mergings( V6 == V10, V23 == V24, V8 == V12, V10 == V12, V7 == V9, V9 == V12, V3 == V5, V5 == V11, V4 == V12, V11 == V12, V12 == V24; #960 ), references = 1, size of lhs = 28:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V5,V0,V0), P_a3-{F}(V6), P_b3-{F}(V7), P_c3-{F}(V8), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V8,V7,V10), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V9,V13,V0), P_double_divide-{F}(V14,V0,V7), P_double_divide-{F}(V15,V0,V14), P_double_divide-{F}(V14,V12,V16), P_double_divide-{F}(V17,V0,V0), P_double_divide-{F}(V18,V16,V17), P_double_divide-{F}(V18,V0,V19), P_double_divide-{F}(V19,V10,V13), P_double_divide-{F}(V20,V21,V10) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #988: mergings( V8 == V12, V22 == V23, V10 == V14, V12 == V14, V9 == V11, V11 == V14, V3 == V5, V4 == V6, V5 == V7, V7 == V13, V6 == V14, V13 == V14, V14 == V23; #974 ), references = 2, size of lhs = 29:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V5,V0,V0), P_a3-{F}(V6), P_b3-{F}(V7), P_c3-{F}(V8), P_double_divide-{F}(V0,V9,V8), P_double_divide-{F}(V9,V10,V0), P_double_divide-{F}(V11,V0,V0), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V7), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V13,V12,V15), P_double_divide-{F}(V16,V0,V0), P_double_divide-{F}(V17,V15,V16), P_double_divide-{F}(V17,V0,V18), P_double_divide-{F}(V0,V19,V18), P_double_divide-{F}(V19,V20,V7), P_double_divide-{F}(V10,V20,V21), P_double_divide-{F}(V21,V0,V8) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #999: exists( #8, #997 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1044: mergings( V3 == V9, V9 == V10, V23 == V24, V7 == V6, V6 == V10, V4 == V8, V8 == V10, V10 == V22, V2 == V5, V5 == V22, V22 == V24; #1032 ), references = 1, size of lhs = 27:
% 3.16/3.34 P_identity-{F}(V0), P_double_divide-{F}(V0,V0,V0), P_double_divide-{F}(V0,V1,V0), P_double_divide-{F}(V1,V0,V0), P_double_divide-{F}(V0,V2,V0), P_double_divide-{F}(V2,V0,V0), P_double_divide-{F}(V0,V3,V0), P_double_divide-{F}(V3,V0,V0), P_double_divide-{F}(V0,V4,V0), P_double_divide-{F}(V4,V0,V0), P_double_divide-{F}(V0,V5,V0), P_double_divide-{F}(V5,V0,V0), P_double_divide-{F}(V0,V6,V0), P_double_divide-{F}(V6,V0,V0), P_a3-{F}(V7), P_b3-{F}(V8), P_c3-{F}(V9), P_double_divide-{F}(V10,V0,V8), P_double_divide-{F}(V0,V10,V11), P_double_divide-{F}(V12,V0,V11), P_double_divide-{F}(V13,V0,V0), P_double_divide-{F}(V14,V0,V13), P_double_divide-{F}(V15,V0,V8), P_double_divide-{F}(V16,V0,V15), P_double_divide-{F}(V15,V14,V17), P_double_divide-{F}(V12,V17,V18), P_double_divide-{F}(V18,V0,V0) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1055: exists( #8, #1053 ), references = 1, size of lhs = 4:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2), P_c3-{F}(V3) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1057: exists( #11, #1054 ), references = 1, size of lhs = 3:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V1), P_b3-{F}(V2) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1059: exists( #10, #1056 ), references = 1, size of lhs = 2:
% 3.16/3.34 P_identity-{F}(V0), P_a3-{F}(V1) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1061: exists( #9, #1058 ), references = 1, size of lhs = 1:
% 3.16/3.34 P_identity-{F}(V0) | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 #1063: exists( #6, #1060 ), references = 1, size of lhs = 0:
% 3.16/3.34 FALSE | FALSE
% 3.16/3.34 (used 0 times, uses = {})
% 3.16/3.34
% 3.16/3.34 number of learnt formulas = 57
% 3.16/3.34
% 3.16/3.34
% 3.16/3.34 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.34
% 3.16/3.34 randbase = 1
%------------------------------------------------------------------------------