TSTP Solution File: RNG001-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG001-2 : 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 06:14:50 EDT 2022
% Result : Unsatisfiable 38.10s 38.26s
% Output : Refutation 38.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 07:37:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 38.10/38.26 GeoParameters:
% 38.10/38.26
% 38.10/38.26 tptp_input = 1
% 38.10/38.26 tptp_output = 0
% 38.10/38.26 nonempty = 1
% 38.10/38.26 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.10/38.26 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 38.10/38.26
% 38.10/38.26
% 38.10/38.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.10/38.26 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.10/38.26
% 38.10/38.26 RuleSystem INPUT:
% 38.10/38.26
% 38.10/38.26 Initial Rules:
% 38.10/38.26 #0: input, references = 28, size of lhs = 2:
% 38.10/38.26 equalish-{F}(V3,V0), sum-{F}(V1,V2,V3) | sum-{T}(V1,V2,V0)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1: input, references = 11, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #2: input, references = 6, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #3: input, references = 14, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #4: input, references = 6, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #5: input, references = 7, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #6: input, references = 8, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #7: input, references = 30, size of lhs = 4:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V1) | sum-{T}(V6,V4,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #8: input, references = 14, size of lhs = 4:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V1), sum-{F}(V6,V4,V3) | sum-{T}(V1,V2,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #9: input, references = 15, size of lhs = 2:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #10: input, references = 19, size of lhs = 4:
% 38.10/38.26 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1) | product-{T}(V6,V4,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #11: input, references = 26, size of lhs = 4:
% 38.10/38.26 P_additive_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1), product-{F}(V6,V4,V3) | product-{T}(V1,V2,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #12: input, references = 11, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), product-{F}(V5,V4,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #13: input, references = 39, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | product-{T}(V5,V4,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #14: input, references = 7, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), product-{F}(V4,V5,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #15: input, references = 10, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | product-{T}(V4,V5,V3)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #16: input, references = 15, size of lhs = 3:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #17: input, references = 5, size of lhs = 3:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), product-{F}(V1,V0,V0) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #18: input, references = 4, size of lhs = 0:
% 38.10/38.26 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #19: input, references = 12, size of lhs = 2:
% 38.10/38.26 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #20: input, references = 6, size of lhs = 2:
% 38.10/38.26 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #21: input, references = 7, size of lhs = 1:
% 38.10/38.26 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #22: input, references = 4, size of lhs = 0:
% 38.10/38.26 FALSE | EXISTS V0: P_a-{T}(V0)
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 number of initial rules = 23
% 38.10/38.26
% 38.10/38.26 Simplifiers:
% 38.10/38.26 #23: unsound, references = 3, size of lhs = 3:
% 38.10/38.26 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #24: unsound, references = 3, size of lhs = 3:
% 38.10/38.26 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #25: unsound, references = 3, size of lhs = 3:
% 38.10/38.26 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #26: unsound, references = 3, size of lhs = 3:
% 38.10/38.26 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #27: unsound, references = 3, size of lhs = 3:
% 38.10/38.26 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 number of simplifiers = 5
% 38.10/38.26
% 38.10/38.26 Learnt:
% 38.10/38.26 #162: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44; #119 ), references = 2, size of lhs = 28:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V0), sum-{F}(V0,V0,V0), sum-{F}(V0,V0,V1), sum-{F}(V1,V2,V2), sum-{F}(V2,V2,V2), sum-{F}(V2,V2,V3), sum-{F}(V0,V2,V3), sum-{F}(V4,V2,V2), product-{F}(V5,V5,V2), product-{F}(V5,V4,V2), product-{F}(V5,V0,V2), product-{F}(V5,V6,V2), product-{F}(V6,V5,V2), product-{F}(V7,V5,V2), product-{F}(V5,V7,V2), product-{F}(V5,V8,V2), product-{F}(V8,V6,V2), product-{F}(V5,V9,V2), sum-{F}(V10,V9,V0), product-{F}(V5,V10,V2), product-{F}(V5,V11,V2), sum-{F}(V12,V11,V5), product-{F}(V5,V12,V2), product-{F}(V5,V0,V13), sum-{F}(V0,V14,V5), product-{F}(V5,V0,V15), sum-{F}(V13,V15,V2) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #173: mergings( V3 == V4, V4 == V5, V5 == V1; #169 ), references = 1, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V0), sum-{F}(V0,V0,V0), sum-{F}(V0,V1,V0), sum-{F}(V2,V2,V0) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #198: mergings( V3 == V4, V4 == V5, V5 == V6; #194 ), references = 3, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V2,V0), sum-{F}(V1,V1,V3), product-{F}(V3,V2,V0) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #549: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54, V54 == V55, V55 == V56; #495 ), references = 1, size of lhs = 66:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V1,V2), equalish-{F}(V3,V0), equalish-{F}(V3,V4), sum-{F}(V4,V5,V0), equalish-{F}(V3,V6), product-{F}(V3,V2,V7), sum-{F}(V3,V0,V7), sum-{F}(V7,V0,V0), sum-{F}(V4,V7,V8), equalish-{F}(V8,V9), product-{F}(V7,V10,V7), sum-{F}(V11,V7,V7), equalish-{F}(V12,V11), sum-{F}(V13,V5,V13), sum-{F}(V6,V13,V12), sum-{F}(V0,V13,V0), sum-{F}(V11,V14,V13), product-{F}(V15,V10,V15), product-{F}(V15,V10,V16), product-{F}(V2,V16,V17), sum-{F}(V17,V17,V17), product-{F}(V2,V18,V17), product-{F}(V10,V19,V17), product-{F}(V15,V2,V20), product-{F}(V20,V21,V7), product-{F}(V15,V22,V15), product-{F}(V22,V23,V17), product-{F}(V23,V24,V15), product-{F}(V2,V25,V17), sum-{F}(V25,V26,V15), product-{F}(V2,V26,V17), product-{F}(V10,V27,V17), product-{F}(V10,V28,V17), sum-{F}(V28,V27,V29), sum-{F}(V19,V29,V30), sum-{F}(V24,V30,V7), sum-{F}(V21,V30,V31), product-{F}(V20,V31,V3), product-{F}(V22,V32,V17), sum-{F}(V33,V32,V15), product-{F}(V22,V33,V17), product-{F}(V34,V30,V17), sum-{F}(V15,V35,V35), sum-{F}(V34,V35,V15), product-{F}(V36,V30,V17), sum-{F}(V36,V35,V37), sum-{F}(V15,V37,V20), sum-{F}(V38,V18,V14), sum-{F}(V9,V38,V39), product-{F}(V2,V39,V17), product-{F}(V40,V30,V17), sum-{F}(V35,V40,V41), product-{F}(V41,V30,V17), product-{F}(V2,V42,V17), sum-{F}(V7,V43,V42), sum-{F}(V0,V43,V44), sum-{F}(V45,V17,V17), product-{F}(V15,V46,V45), sum-{F}(V46,V30,V47), sum-{F}(V12,V48,V49), sum-{F}(V7,V48,V50), sum-{F}(V50,V51,V44), equalish-{F}(V49,V52), sum-{F}(V52,V51,V30) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #608: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54, V54 == V55, V55 == V56, V56 == V57, V57 == V58; #552 ), references = 1, size of lhs = 62:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V1,V2), equalish-{F}(V3,V0), equalish-{F}(V3,V4), sum-{F}(V4,V5,V0), equalish-{F}(V3,V6), product-{F}(V3,V2,V7), sum-{F}(V3,V0,V7), sum-{F}(V7,V0,V0), product-{F}(V7,V2,V7), sum-{F}(V4,V7,V8), equalish-{F}(V8,V9), sum-{F}(V10,V7,V7), equalish-{F}(V11,V10), sum-{F}(V12,V5,V12), sum-{F}(V6,V12,V11), sum-{F}(V0,V12,V0), sum-{F}(V10,V13,V12), sum-{F}(V14,V14,V2), sum-{F}(V15,V2,V14), sum-{F}(V14,V15,V16), product-{F}(V16,V2,V16), sum-{F}(V16,V15,V15), product-{F}(V16,V2,V17), product-{F}(V2,V17,V18), sum-{F}(V18,V18,V18), product-{F}(V2,V19,V18), product-{F}(V16,V2,V20), product-{F}(V20,V21,V7), product-{F}(V16,V22,V16), product-{F}(V22,V23,V18), product-{F}(V23,V24,V16), product-{F}(V2,V25,V18), sum-{F}(V25,V26,V16), product-{F}(V2,V26,V18), product-{F}(V2,V27,V18), product-{F}(V2,V28,V18), sum-{F}(V28,V27,V29), product-{F}(V22,V30,V18), sum-{F}(V31,V30,V16), product-{F}(V22,V31,V18), sum-{F}(V32,V19,V13), sum-{F}(V9,V32,V33), product-{F}(V2,V33,V18), sum-{F}(V14,V15,V34), sum-{F}(V16,V34,V20), product-{F}(V20,V35,V3), sum-{F}(V36,V18,V18), product-{F}(V16,V37,V36), sum-{F}(V38,V29,V38), P_multiply-{F}(V14,V38,V18), sum-{F}(V24,V38,V7), sum-{F}(V21,V38,V35), sum-{F}(V7,V39,V38), sum-{F}(V0,V39,V40), sum-{F}(V37,V38,V41), sum-{F}(V11,V42,V43), sum-{F}(V7,V42,V44), sum-{F}(V44,V45,V40), equalish-{F}(V43,V46), sum-{F}(V46,V45,V38) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #673: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54, V54 == V55, V55 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V60 == V61; #613 ), references = 3, size of lhs = 55:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V3,V1,V2), sum-{F}(V1,V3,V4), sum-{F}(V4,V0,V4), equalish-{F}(V4,V0), sum-{F}(V4,V0,V0), sum-{F}(V4,V4,V4), sum-{F}(V4,V3,V3), equalish-{F}(V4,V5), sum-{F}(V5,V6,V0), sum-{F}(V4,V4,V7), equalish-{F}(V4,V8), sum-{F}(V5,V4,V9), equalish-{F}(V9,V10), product-{F}(V4,V11,V4), product-{F}(V4,V12,V4), sum-{F}(V10,V13,V4), sum-{F}(V13,V4,V14), sum-{F}(V1,V3,V15), sum-{F}(V4,V15,V4), product-{F}(V4,V1,V16), product-{F}(V4,V1,V17), sum-{F}(V17,V16,V4), product-{F}(V1,V4,V18), product-{F}(V1,V4,V19), sum-{F}(V19,V18,V20), sum-{F}(V20,V20,V20), product-{F}(V12,V21,V20), product-{F}(V21,V22,V4), product-{F}(V12,V23,V20), sum-{F}(V24,V23,V4), product-{F}(V12,V24,V20), sum-{F}(V25,V6,V25), sum-{F}(V0,V25,V0), sum-{F}(V8,V25,V26), equalish-{F}(V26,V27), sum-{F}(V27,V4,V4), sum-{F}(V27,V14,V25), sum-{F}(V28,V20,V20), product-{F}(V4,V29,V28), product-{F}(V4,V30,V4), sum-{F}(V31,V7,V31), P_multiply-{F}(V1,V31,V20), sum-{F}(V11,V31,V30), sum-{F}(V22,V31,V4), sum-{F}(V4,V32,V31), sum-{F}(V0,V32,V33), sum-{F}(V29,V31,V34), sum-{F}(V26,V35,V36), sum-{F}(V4,V35,V37), sum-{F}(V37,V38,V33), equalish-{F}(V36,V39), sum-{F}(V39,V38,V31) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #744: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V40 == V41, V41 == V42, V42 == V43, V43 == V44, V44 == V45, V45 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V54, V54 == V55, V55 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V60 == V61, V61 == V62, V62 == V63, V63 == V64, V64 == V65, V65 == V66, V66 == V67; #679 ), references = 2, size of lhs = 48:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V3,V1,V2), sum-{F}(V1,V3,V4), sum-{F}(V4,V0,V4), equalish-{F}(V4,V0), sum-{F}(V4,V0,V0), sum-{F}(V4,V3,V3), sum-{F}(V4,V4,V4), equalish-{F}(V4,V5), sum-{F}(V5,V6,V0), sum-{F}(V4,V4,V7), sum-{F}(V4,V7,V4), equalish-{F}(V4,V8), sum-{F}(V5,V4,V9), equalish-{F}(V9,V10), product-{F}(V4,V11,V4), sum-{F}(V10,V12,V4), sum-{F}(V12,V4,V13), sum-{F}(V1,V3,V14), sum-{F}(V4,V14,V4), product-{F}(V4,V1,V15), product-{F}(V4,V1,V16), sum-{F}(V16,V15,V4), sum-{F}(V17,V17,V4), product-{F}(V4,V17,V4), product-{F}(V17,V18,V4), sum-{F}(V18,V4,V4), product-{F}(V4,V1,V19), product-{F}(V19,V4,V4), product-{F}(V4,V20,V0), sum-{F}(V11,V4,V21), product-{F}(V4,V21,V4), sum-{F}(V4,V22,V4), sum-{F}(V0,V22,V23), sum-{F}(V20,V4,V24), sum-{F}(V25,V6,V25), sum-{F}(V0,V25,V0), sum-{F}(V8,V25,V26), equalish-{F}(V26,V27), sum-{F}(V27,V4,V4), sum-{F}(V27,V13,V25), sum-{F}(V26,V28,V29), sum-{F}(V4,V28,V30), sum-{F}(V30,V31,V23), equalish-{F}(V29,V32), sum-{F}(V32,V31,V4) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1435: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1429 ), references = 1, size of lhs = 49:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V3,V1,V2), sum-{F}(V1,V3,V4), sum-{F}(V4,V0,V4), equalish-{F}(V4,V0), sum-{F}(V4,V0,V0), sum-{F}(V4,V3,V3), sum-{F}(V4,V4,V4), product-{F}(V4,V4,V4), sum-{F}(V1,V4,V1), equalish-{F}(V4,V5), sum-{F}(V5,V6,V0), sum-{F}(V4,V4,V7), sum-{F}(V4,V7,V4), equalish-{F}(V4,V8), sum-{F}(V5,V4,V9), equalish-{F}(V9,V10), sum-{F}(V10,V11,V4), sum-{F}(V11,V4,V12), sum-{F}(V1,V3,V13), sum-{F}(V4,V13,V4), product-{F}(V4,V1,V14), sum-{F}(V15,V15,V4), product-{F}(V4,V15,V4), product-{F}(V15,V16,V4), sum-{F}(V16,V4,V4), product-{F}(V4,V17,V0), sum-{F}(V4,V18,V4), sum-{F}(V0,V18,V19), sum-{F}(V17,V4,V20), sum-{F}(V21,V6,V21), sum-{F}(V0,V21,V0), sum-{F}(V8,V21,V22), equalish-{F}(V22,V23), sum-{F}(V23,V4,V4), sum-{F}(V23,V12,V21), product-{F}(V4,V24,V4), sum-{F}(V14,V25,V25), product-{F}(V4,V26,V25), sum-{F}(V26,V27,V1), product-{F}(V4,V28,V25), sum-{F}(V28,V27,V24), sum-{F}(V22,V29,V30), sum-{F}(V4,V29,V31), sum-{F}(V31,V32,V19), equalish-{F}(V30,V33), sum-{F}(V33,V32,V4) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1440: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1430 ), references = 2, size of lhs = 56:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V3,V1,V2), sum-{F}(V1,V3,V4), sum-{F}(V4,V0,V4), equalish-{F}(V4,V0), sum-{F}(V4,V0,V0), sum-{F}(V4,V4,V4), sum-{F}(V4,V3,V3), equalish-{F}(V4,V5), sum-{F}(V5,V6,V0), sum-{F}(V4,V4,V7), equalish-{F}(V4,V8), sum-{F}(V5,V4,V9), equalish-{F}(V9,V10), sum-{F}(V10,V11,V4), sum-{F}(V11,V4,V12), sum-{F}(V1,V3,V13), sum-{F}(V4,V13,V4), product-{F}(V4,V1,V14), product-{F}(V1,V4,V15), product-{F}(V1,V4,V16), sum-{F}(V16,V15,V17), sum-{F}(V17,V17,V17), product-{F}(V1,V18,V17), product-{F}(V18,V19,V4), product-{F}(V1,V20,V17), sum-{F}(V21,V20,V4), product-{F}(V1,V21,V17), sum-{F}(V22,V6,V22), sum-{F}(V0,V22,V0), sum-{F}(V8,V22,V23), equalish-{F}(V23,V24), sum-{F}(V24,V4,V4), sum-{F}(V24,V12,V22), sum-{F}(V25,V17,V17), product-{F}(V4,V26,V25), product-{F}(V4,V27,V4), sum-{F}(V28,V7,V28), P_multiply-{F}(V1,V28,V17), sum-{F}(V1,V28,V1), sum-{F}(V19,V28,V4), sum-{F}(V4,V29,V28), sum-{F}(V0,V29,V30), sum-{F}(V26,V28,V31), sum-{F}(V14,V32,V32), product-{F}(V4,V33,V32), sum-{F}(V33,V34,V1), product-{F}(V4,V35,V32), sum-{F}(V35,V34,V27), sum-{F}(V23,V36,V37), sum-{F}(V4,V36,V38), sum-{F}(V38,V39,V30), equalish-{F}(V37,V40), sum-{F}(V40,V39,V28) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1456: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1447 ), references = 1, size of lhs = 52:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V3,V1,V2), sum-{F}(V1,V3,V4), sum-{F}(V4,V0,V4), equalish-{F}(V4,V0), sum-{F}(V4,V0,V0), sum-{F}(V4,V3,V3), sum-{F}(V4,V4,V4), product-{F}(V4,V4,V4), sum-{F}(V1,V4,V1), equalish-{F}(V4,V5), sum-{F}(V5,V6,V0), sum-{F}(V4,V4,V7), sum-{F}(V4,V7,V4), equalish-{F}(V4,V8), sum-{F}(V5,V4,V9), equalish-{F}(V9,V10), sum-{F}(V10,V11,V4), sum-{F}(V11,V4,V12), sum-{F}(V1,V3,V13), sum-{F}(V4,V13,V4), product-{F}(V4,V1,V14), sum-{F}(V15,V15,V4), product-{F}(V4,V15,V4), product-{F}(V15,V16,V4), sum-{F}(V16,V4,V4), product-{F}(V4,V17,V0), sum-{F}(V4,V18,V4), sum-{F}(V0,V18,V19), sum-{F}(V17,V4,V20), sum-{F}(V21,V6,V21), sum-{F}(V0,V21,V0), sum-{F}(V8,V21,V22), equalish-{F}(V22,V23), sum-{F}(V23,V4,V4), sum-{F}(V23,V12,V21), product-{F}(V4,V24,V4), sum-{F}(V14,V25,V25), product-{F}(V4,V26,V25), sum-{F}(V26,V27,V24), sum-{F}(V28,V27,V29), sum-{F}(V30,V29,V1), product-{F}(V4,V28,V31), product-{F}(V4,V30,V32), sum-{F}(V32,V31,V25), sum-{F}(V22,V33,V34), sum-{F}(V4,V33,V35), sum-{F}(V35,V36,V19), equalish-{F}(V34,V37), sum-{F}(V37,V36,V4) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1469: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1459 ), references = 1, size of lhs = 46:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V3,V1,V2), sum-{F}(V1,V3,V4), sum-{F}(V4,V0,V4), equalish-{F}(V4,V0), sum-{F}(V4,V0,V0), sum-{F}(V4,V3,V3), product-{F}(V4,V4,V4), sum-{F}(V1,V4,V1), sum-{F}(V4,V4,V4), equalish-{F}(V4,V5), sum-{F}(V5,V6,V0), sum-{F}(V4,V4,V7), sum-{F}(V4,V7,V4), equalish-{F}(V4,V8), sum-{F}(V5,V4,V9), equalish-{F}(V9,V10), sum-{F}(V10,V11,V4), sum-{F}(V11,V4,V12), sum-{F}(V1,V3,V13), sum-{F}(V4,V13,V4), sum-{F}(V14,V14,V4), product-{F}(V4,V14,V4), product-{F}(V14,V15,V4), sum-{F}(V15,V4,V4), product-{F}(V4,V16,V0), sum-{F}(V4,V17,V4), sum-{F}(V0,V17,V18), sum-{F}(V16,V4,V19), sum-{F}(V20,V6,V20), sum-{F}(V0,V20,V0), sum-{F}(V8,V20,V21), equalish-{F}(V21,V22), sum-{F}(V22,V4,V4), sum-{F}(V22,V12,V20), product-{F}(V4,V23,V4), sum-{F}(V1,V24,V23), sum-{F}(V1,V24,V25), sum-{F}(V1,V25,V1), sum-{F}(V21,V26,V27), sum-{F}(V4,V26,V28), sum-{F}(V28,V29,V18), equalish-{F}(V27,V30), sum-{F}(V30,V29,V4) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1497: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #1479 ), references = 1, size of lhs = 38:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V0,V1), sum-{F}(V0,V1,V1), equalish-{F}(V0,V2), equalish-{F}(V2,V0), sum-{F}(V2,V0,V0), product-{F}(V2,V2,V2), sum-{F}(V1,V2,V1), sum-{F}(V2,V2,V2), product-{F}(V2,V0,V2), sum-{F}(V2,V0,V2), sum-{F}(V0,V2,V0), equalish-{F}(V2,V3), sum-{F}(V3,V4,V0), sum-{F}(V2,V2,V5), sum-{F}(V2,V5,V2), equalish-{F}(V2,V6), sum-{F}(V3,V2,V7), equalish-{F}(V7,V8), sum-{F}(V8,V9,V2), sum-{F}(V9,V2,V10), sum-{F}(V11,V11,V2), product-{F}(V2,V11,V2), product-{F}(V11,V12,V2), sum-{F}(V12,V2,V2), product-{F}(V2,V13,V0), sum-{F}(V2,V14,V2), sum-{F}(V0,V14,V2), sum-{F}(V13,V2,V15), equalish-{F}(V2,V16), sum-{F}(V16,V2,V2), sum-{F}(V16,V10,V17), sum-{F}(V0,V17,V0), sum-{F}(V17,V4,V17), sum-{F}(V6,V17,V2), sum-{F}(V0,V18,V2), sum-{F}(V1,V18,V19) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1604: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1596 ), references = 2, size of lhs = 14:
% 38.10/38.26 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V1,V1,V2), sum-{F}(V0,V3,V0), product-{F}(V2,V3,V4), sum-{F}(V0,V3,V5), product-{F}(V2,V0,V6), sum-{F}(V6,V4,V7), sum-{F}(V7,V5,V7), sum-{F}(V7,V8,V8), sum-{F}(V9,V9,V0), sum-{F}(V0,V10,V9), sum-{F}(V0,V10,V11), product-{F}(V2,V11,V7) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1617: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V1; #1612 ), references = 2, size of lhs = 8:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), sum-{F}(V1,V1,V2), sum-{F}(V0,V3,V0), sum-{F}(V0,V3,V4), sum-{F}(V4,V4,V0), sum-{F}(V5,V5,V2) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1783: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #1766 ), references = 2, size of lhs = 60:
% 38.10/38.26 P_additive_identity-{F}(V0), equalish-{F}(V0,V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), sum-{F}(V0,V2,V2), sum-{F}(V1,V2,V0), sum-{F}(V2,V1,V3), sum-{F}(V3,V1,V1), equalish-{F}(V0,V4), sum-{F}(V4,V0,V0), sum-{F}(V4,V5,V0), sum-{F}(V0,V0,V6), equalish-{F}(V0,V7), sum-{F}(V1,V2,V8), sum-{F}(V0,V8,V0), product-{F}(V0,V1,V9), product-{F}(V0,V1,V10), sum-{F}(V10,V9,V10), sum-{F}(V0,V9,V10), product-{F}(V1,V0,V11), product-{F}(V1,V0,V12), sum-{F}(V12,V11,V13), sum-{F}(V13,V13,V13), sum-{F}(V0,V13,V13), product-{F}(V14,V0,V10), product-{F}(V14,V15,V10), sum-{F}(V15,V10,V16), product-{F}(V14,V17,V16), sum-{F}(V18,V0,V9), sum-{F}(V18,V10,V19), sum-{F}(V10,V19,V10), sum-{F}(V0,V20,V10), sum-{F}(V10,V20,V10), sum-{F}(V21,V5,V21), sum-{F}(V0,V21,V0), sum-{F}(V7,V21,V22), equalish-{F}(V22,V23), sum-{F}(V23,V0,V0), sum-{F}(V23,V0,V21), product-{F}(V24,V14,V13), product-{F}(V17,V24,V16), product-{F}(V24,V25,V13), sum-{F}(V26,V25,V0), product-{F}(V24,V26,V13), sum-{F}(V27,V6,V27), P_multiply-{F}(V1,V27,V13), sum-{F}(V0,V27,V0), sum-{F}(V24,V27,V24), sum-{F}(V0,V28,V27), sum-{F}(V0,V28,V29), sum-{F}(V24,V27,V30), sum-{F}(V31,V32,V0), product-{F}(V14,V32,V33), product-{F}(V14,V31,V34), sum-{F}(V34,V33,V9), sum-{F}(V22,V35,V36), sum-{F}(V0,V35,V37), sum-{F}(V37,V38,V29), equalish-{F}(V36,V39), sum-{F}(V39,V38,V27) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1801: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #1767 ), references = 2, size of lhs = 67:
% 38.10/38.26 P_additive_identity-{F}(V0), equalish-{F}(V0,V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), sum-{F}(V0,V2,V2), sum-{F}(V1,V2,V0), sum-{F}(V2,V1,V3), sum-{F}(V3,V1,V1), equalish-{F}(V0,V4), sum-{F}(V4,V5,V0), sum-{F}(V0,V0,V6), equalish-{F}(V0,V7), sum-{F}(V4,V0,V8), equalish-{F}(V8,V9), sum-{F}(V9,V10,V0), sum-{F}(V10,V0,V11), sum-{F}(V1,V2,V12), sum-{F}(V0,V12,V0), product-{F}(V0,V1,V13), product-{F}(V1,V0,V14), product-{F}(V1,V0,V15), sum-{F}(V15,V14,V16), sum-{F}(V16,V16,V16), sum-{F}(V0,V16,V16), product-{F}(V1,V17,V16), product-{F}(V1,V18,V16), sum-{F}(V19,V18,V0), product-{F}(V1,V19,V16), product-{F}(V17,V0,V20), product-{F}(V17,V21,V20), sum-{F}(V20,V22,V20), sum-{F}(V0,V22,V23), sum-{F}(V23,V0,V23), sum-{F}(V21,V23,V24), product-{F}(V17,V25,V24), sum-{F}(V26,V5,V26), sum-{F}(V0,V26,V0), sum-{F}(V7,V26,V0), product-{F}(V25,V27,V24), sum-{F}(V20,V28,V20), sum-{F}(V29,V20,V28), sum-{F}(V29,V0,V30), sum-{F}(V20,V30,V23), sum-{F}(V0,V30,V23), sum-{F}(V31,V6,V31), P_multiply-{F}(V1,V31,V16), sum-{F}(V1,V31,V1), sum-{F}(V0,V31,V0), sum-{F}(V0,V32,V31), sum-{F}(V0,V32,V33), sum-{F}(V27,V31,V34), sum-{F}(V13,V35,V35), product-{F}(V0,V36,V35), sum-{F}(V36,V37,V1), product-{F}(V0,V38,V35), sum-{F}(V38,V37,V27), sum-{F}(V39,V40,V0), sum-{F}(V11,V39,V41), sum-{F}(V41,V40,V26), product-{F}(V17,V40,V42), product-{F}(V17,V39,V43), sum-{F}(V43,V42,V30), sum-{F}(V0,V44,V45), sum-{F}(V0,V44,V46), sum-{F}(V46,V47,V33), equalish-{F}(V45,V48), sum-{F}(V48,V47,V31) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1827: mergings( V3 == V4, V4 == V5, V5 == V6; #1822 ), references = 1, size of lhs = 52:
% 38.10/38.26 P_additive_identity-{F}(V0), equalish-{F}(V0,V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), sum-{F}(V0,V2,V2), sum-{F}(V1,V2,V0), sum-{F}(V2,V1,V3), sum-{F}(V3,V1,V1), equalish-{F}(V0,V4), sum-{F}(V4,V0,V0), sum-{F}(V4,V5,V0), sum-{F}(V0,V0,V6), equalish-{F}(V0,V7), sum-{F}(V1,V2,V8), sum-{F}(V0,V8,V0), product-{F}(V0,V1,V9), product-{F}(V0,V1,V10), sum-{F}(V10,V9,V10), sum-{F}(V0,V9,V10), product-{F}(V0,V0,V10), product-{F}(V0,V11,V10), sum-{F}(V11,V10,V12), product-{F}(V0,V13,V12), product-{F}(V13,V1,V12), sum-{F}(V14,V0,V9), sum-{F}(V14,V10,V15), sum-{F}(V10,V15,V10), sum-{F}(V0,V16,V10), sum-{F}(V10,V16,V10), sum-{F}(V17,V5,V17), sum-{F}(V0,V17,V0), sum-{F}(V7,V17,V18), equalish-{F}(V18,V19), sum-{F}(V19,V0,V0), sum-{F}(V19,V0,V17), sum-{F}(V20,V20,V20), sum-{F}(V20,V20,V0), sum-{F}(V20,V6,V20), sum-{F}(V0,V20,V0), sum-{F}(V1,V20,V1), sum-{F}(V0,V21,V20), sum-{F}(V0,V21,V22), sum-{F}(V1,V20,V23), sum-{F}(V24,V25,V0), product-{F}(V0,V25,V26), product-{F}(V0,V24,V27), sum-{F}(V27,V26,V9), sum-{F}(V18,V28,V29), sum-{F}(V0,V28,V30), sum-{F}(V30,V31,V22), equalish-{F}(V29,V32), sum-{F}(V32,V31,V20) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1831: mergings( V3 == V4, V4 == V5, V5 == V6; #1823 ), references = 1, size of lhs = 59:
% 38.10/38.26 P_additive_identity-{F}(V0), equalish-{F}(V0,V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), sum-{F}(V0,V2,V2), sum-{F}(V1,V2,V0), sum-{F}(V2,V1,V3), sum-{F}(V3,V1,V1), equalish-{F}(V0,V4), sum-{F}(V4,V5,V0), sum-{F}(V0,V0,V6), equalish-{F}(V0,V7), sum-{F}(V4,V0,V8), equalish-{F}(V8,V9), sum-{F}(V9,V10,V0), sum-{F}(V10,V0,V11), sum-{F}(V1,V2,V12), sum-{F}(V0,V12,V0), product-{F}(V0,V1,V13), product-{F}(V0,V0,V14), product-{F}(V0,V15,V14), sum-{F}(V14,V16,V14), sum-{F}(V0,V16,V17), sum-{F}(V17,V0,V17), sum-{F}(V15,V17,V18), product-{F}(V0,V19,V18), sum-{F}(V20,V5,V20), sum-{F}(V0,V20,V0), sum-{F}(V7,V20,V0), product-{F}(V19,V21,V18), sum-{F}(V14,V22,V14), sum-{F}(V23,V14,V22), sum-{F}(V23,V0,V24), sum-{F}(V14,V24,V17), sum-{F}(V0,V24,V17), sum-{F}(V13,V25,V25), product-{F}(V0,V26,V25), sum-{F}(V26,V27,V1), product-{F}(V0,V28,V25), sum-{F}(V28,V27,V21), sum-{F}(V29,V29,V29), sum-{F}(V29,V29,V0), sum-{F}(V29,V6,V29), sum-{F}(V1,V29,V1), sum-{F}(V0,V29,V0), sum-{F}(V0,V30,V29), sum-{F}(V0,V30,V31), sum-{F}(V21,V29,V32), sum-{F}(V33,V34,V0), sum-{F}(V11,V33,V35), sum-{F}(V35,V34,V20), product-{F}(V0,V34,V36), product-{F}(V0,V33,V37), sum-{F}(V37,V36,V24), sum-{F}(V0,V38,V39), sum-{F}(V0,V38,V40), sum-{F}(V40,V41,V31), equalish-{F}(V39,V42), sum-{F}(V42,V41,V29) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1906: mergings( V2 == V3; #1904 ), references = 1, size of lhs = 6:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_a-{F}(V1), sum-{F}(V0,V2,V0), sum-{F}(V0,V2,V3), sum-{F}(V3,V3,V0) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1909: mergings( V1 == V2; #1907 ), references = 1, size of lhs = 5:
% 38.10/38.26 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), sum-{F}(V0,V1,V0), sum-{F}(V0,V1,V2), sum-{F}(V2,V2,V0) | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 #1912: exists( #18, #1910 ), references = 1, size of lhs = 0:
% 38.10/38.26 FALSE | FALSE
% 38.10/38.26 (used 0 times, uses = {})
% 38.10/38.26
% 38.10/38.26 number of learnt formulas = 21
% 38.10/38.26
% 38.10/38.26
% 38.10/38.26 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.10/38.26
% 38.10/38.26 randbase = 1
%------------------------------------------------------------------------------