TSTP Solution File: ALG002-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 05:57:06 EDT 2022
% Result : Unsatisfiable 0.92s 1.10s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 10:50:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.10 GeoParameters:
% 0.92/1.10
% 0.92/1.10 tptp_input = 1
% 0.92/1.10 tptp_output = 0
% 0.92/1.10 nonempty = 1
% 0.92/1.10 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.92/1.10
% 0.92/1.10
% 0.92/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10
% 0.92/1.10 RuleSystem INPUT:
% 0.92/1.10
% 0.92/1.10 Initial Rules:
% 0.92/1.10 #0: input, references = 7, size of lhs = 2:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V1)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #1: input, references = 8, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), product-{F}(V0,V0,V1) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #2: input, references = 6, size of lhs = 5:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V2,V5), P_additive_inverse-{F}(V3,V6), product-{F}(V2,V3,V4) | product-{T}(V5,V6,V4)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #3: input, references = 3, size of lhs = 5:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V2,V5), P_additive_inverse-{F}(V3,V6), product-{F}(V5,V6,V4) | product-{T}(V2,V3,V4)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #4: input, references = 10, size of lhs = 5:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V3,V5), P_additive_inverse-{F}(V4,V6), product-{F}(V2,V3,V4) | product-{T}(V2,V5,V6)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #5: input, references = 6, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0), product-{T}(V2,V2,V1)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #6: input, references = 7, size of lhs = 5:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), greater_than_0-{F}(V2), greater_than_0-{F}(V3) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #7: input, references = 9, size of lhs = 4:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), greater_than_0-{F}(V2), product-{F}(V2,V2,V1) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #8: input, references = 12, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #9: input, references = 11, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V2,V3) | greater_than_0-{T}(V2), product-{T}(V2,V2,V1), greater_than_0-{T}(V3)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #10: input, references = 10, size of lhs = 4:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), product-{F}(V2,V2,V1), product-{F}(V2,V4,V3) | product-{T}(V3,V3,V1)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #11: input, references = 9, size of lhs = 5:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), greater_than_0-{F}(V2), greater_than_0-{F}(V3), product-{F}(V3,V2,V4) | greater_than_0-{T}(V4)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #12: input, references = 4, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2) | greater_than_0-{T}(V2)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #13: input, references = 4, size of lhs = 5:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_multiplicative_inverse-{F}(V2,V3), greater_than_0-{F}(V3) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #14: input, references = 4, size of lhs = 0:
% 0.92/1.10 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #15: input, references = 4, size of lhs = 0:
% 0.92/1.10 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #16: input, references = 13, size of lhs = 1:
% 0.92/1.10 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #17: input, references = 6, size of lhs = 1:
% 0.92/1.10 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #18: input, references = 4, size of lhs = 0:
% 0.92/1.10 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 number of initial rules = 19
% 0.92/1.10
% 0.92/1.10 Simplifiers:
% 0.92/1.10 #19: unsound, references = 3, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #20: unsound, references = 3, size of lhs = 3:
% 0.92/1.10 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #21: unsound, references = 3, size of lhs = 3:
% 0.92/1.10 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #22: unsound, references = 3, size of lhs = 3:
% 0.92/1.10 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #23: unsound, references = 3, size of lhs = 3:
% 0.92/1.10 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 number of simplifiers = 5
% 0.92/1.10
% 0.92/1.10 Learnt:
% 0.92/1.10 #55: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V14, V1 == V5, V5 == V9, V9 == V11, V11 == V15, V3 == V7; #45 ), references = 2, size of lhs = 9:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), greater_than_0-{F}(V4), P_additive_inverse-{F}(V4,V5), product-{F}(V6,V1,V5), product-{F}(V7,V0,V6), P_additive_inverse-{F}(V7,V6) | product-{T}(V7,V7,V3)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #76: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V3, V3 == V12, V12 == V14, V14 == V17, V1 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V23, V21 == V22; #59 ), references = 3, size of lhs = 10:
% 0.92/1.10 greater_than_0-{F}(V0), P_additive_inverse-{F}(V1,V0), P_multiplicative_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V2), greater_than_0-{F}(V3), greater_than_0-{F}(V4), P_additive_inverse-{F}(V4,V5), P_additive_inverse-{F}(V2,V6), product-{F}(V6,V3,V5), P_additive_identity-{F}(V7) | product-{T}(V1,V1,V7)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #104: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V28, V28 == V29, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V18, V18 == V20, V20 == V23, V23 == V27, V27 == V30, V24 == V25; #81 ), references = 2, size of lhs = 11:
% 0.92/1.10 greater_than_0-{F}(V0), P_additive_inverse-{F}(V1,V0), P_multiplicative_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V2), greater_than_0-{F}(V3), greater_than_0-{F}(V4), P_additive_inverse-{F}(V2,V5), P_additive_inverse-{F}(V6,V5), product-{F}(V3,V6,V4), P_additive_identity-{F}(V7), greater_than_0-{F}(V7) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #126: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V0, V0 == V15, V15 == V17, V17 == V20, V20 == V24, V24 == V25, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V26; #105 ), references = 2, size of lhs = 9:
% 0.92/1.10 greater_than_0-{F}(V0), P_additive_inverse-{F}(V1,V0), P_multiplicative_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V2), greater_than_0-{F}(V3), greater_than_0-{F}(V4), product-{F}(V3,V2,V4), P_additive_identity-{F}(V5), greater_than_0-{F}(V5) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #139: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7, V2 == V3; #130 ), references = 1, size of lhs = 3:
% 0.92/1.10 P_additive_inverse-{F}(V0,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2) | product-{T}(V0,V0,V2)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #145: mergings( V0 == V4, V4 == V5; #142 ), references = 2, size of lhs = 4:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), greater_than_0-{F}(V1), P_multiplicative_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #198: mergings( V0 == V4, V4 == V7, V7 == V8, V5 == V1; #191 ), references = 1, size of lhs = 6:
% 0.92/1.10 P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), greater_than_0-{F}(V4) | greater_than_0-{T}(V2)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #226: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V18, V3 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V19; #211 ), references = 1, size of lhs = 10:
% 0.92/1.10 P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), greater_than_0-{F}(V2), P_additive_identity-{F}(V2), greater_than_0-{F}(V3), product-{F}(V3,V1,V4), P_additive_inverse-{F}(V4,V5), P_multiplicative_identity-{F}(V6), greater_than_0-{F}(V7), P_additive_inverse-{F}(V7,V5) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #239: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V19, V3 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V22; #212 ), references = 1, size of lhs = 13:
% 0.92/1.10 P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), greater_than_0-{F}(V2), product-{F}(V2,V1,V3), P_additive_inverse-{F}(V3,V4), P_additive_inverse-{F}(V5,V4), P_multiplicative_inverse-{F}(V5,V6), P_multiplicative_identity-{F}(V6), greater_than_0-{F}(V7), greater_than_0-{F}(V8), product-{F}(V7,V6,V8), P_additive_identity-{F}(V9), greater_than_0-{F}(V9) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #252: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V19, V3 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V24; #213 ), references = 1, size of lhs = 15:
% 0.92/1.10 P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), greater_than_0-{F}(V2), product-{F}(V2,V1,V3), P_additive_inverse-{F}(V3,V4), P_additive_inverse-{F}(V5,V4), P_multiplicative_inverse-{F}(V5,V6), P_multiplicative_identity-{F}(V6), greater_than_0-{F}(V7), greater_than_0-{F}(V8), P_additive_inverse-{F}(V6,V9), P_additive_inverse-{F}(V10,V9), product-{F}(V7,V10,V8), P_additive_identity-{F}(V11), greater_than_0-{F}(V11) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #273: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V17, V3 == V5, V5 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V18; #256 ), references = 1, size of lhs = 8:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_inverse-{F}(V2,V3), greater_than_0-{F}(V4), P_additive_inverse-{F}(V4,V3) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #289: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V2 == V4, V4 == V6, V6 == V9, V9 == V13, V13 == V15, V15 == V17; #274 ), references = 1, size of lhs = 6:
% 0.92/1.10 greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V1), greater_than_0-{F}(V1), greater_than_0-{F}(V2), P_additive_identity-{F}(V2) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #308: mergings( V0 == V2, V2 == V7, V1 == V5, V5 == V10; #298 ), references = 1, size of lhs = 11:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V2), P_multiplicative_inverse-{F}(V3,V1), greater_than_0-{F}(V4), greater_than_0-{F}(V5), product-{F}(V4,V1,V5), P_additive_identity-{F}(V6), greater_than_0-{F}(V6) | product-{T}(V1,V1,V6)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #314: mergings( V0 == V2, V2 == V7, V1 == V5, V5 == V12, V3 == V10; #299 ), references = 1, size of lhs = 12:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V1), P_additive_inverse-{F}(V2,V3), P_additive_inverse-{F}(V1,V3), greater_than_0-{F}(V4), greater_than_0-{F}(V5), P_additive_inverse-{F}(V6,V3), product-{F}(V4,V6,V5), P_additive_identity-{F}(V7), greater_than_0-{F}(V7) | product-{T}(V1,V1,V7)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #320: mergings( V0 == V6, V6 == V9, V1 == V5, V5 == V12, V7 == V3; #300 ), references = 1, size of lhs = 12:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V3,V2), P_additive_inverse-{F}(V4,V2), P_multiplicative_inverse-{F}(V4,V1), greater_than_0-{F}(V5), greater_than_0-{F}(V6), product-{F}(V5,V1,V6), P_additive_identity-{F}(V7), greater_than_0-{F}(V7) | product-{T}(V3,V3,V7)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #327: mergings( V0 == V2, V5 == V1; #322 ), references = 1, size of lhs = 6:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_inverse-{F}(V2,V3) | greater_than_0-{T}(V3)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #348: mergings( V2 == V4, V4 == V0, V0 == V8, V8 == V10, V3 == V6, V6 == V7, V7 == V9, V9 == V11; #337 ), references = 1, size of lhs = 6:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), product-{F}(V2,V2,V2) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #372: mergings( V2 == V0, V0 == V5, V5 == V7, V6 == V8, V3 == V7; #365 ), references = 1, size of lhs = 5:
% 0.92/1.10 greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V1,V0), P_additive_inverse-{F}(V1,V0), P_additive_identity-{F}(V2) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #378: mergings( V2 == V0, V0 == V5, V5 == V7, V6 == V8, V3 == V9; #366 ), references = 1, size of lhs = 6:
% 0.92/1.10 greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), greater_than_0-{F}(V3), P_additive_inverse-{F}(V1,V3) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #382: mergings( V0 == V2; #379 ), references = 2, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2) | product-{T}(V0,V1,V0)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #384: mergings( V0 == V4; #380 ), references = 2, size of lhs = 4:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), greater_than_0-{F}(V2), P_multiplicative_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #436: mergings( V0 == V4, V4 == V5, V5 == V7, V1 == V9; #430 ), references = 1, size of lhs = 7:
% 0.92/1.10 greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V0), P_multiplicative_inverse-{F}(V1,V0), P_additive_identity-{F}(V2), P_additive_inverse-{F}(V1,V3), P_additive_inverse-{F}(V4,V3), product-{F}(V4,V5,V0) | greater_than_0-{T}(V4)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #441: mergings( V0 == V4, V4 == V5, V5 == V8, V1 == V10; #431 ), references = 1, size of lhs = 8:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V1), P_additive_identity-{F}(V3), P_additive_inverse-{F}(V2,V4), P_additive_inverse-{F}(V5,V4), product-{F}(V5,V6,V0) | greater_than_0-{T}(V5)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #448: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8; #443 ), references = 1, size of lhs = 7:
% 0.92/1.10 P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), P_additive_inverse-{F}(V2,V5), greater_than_0-{F}(V5) | product-{T}(V1,V1,V4)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #470: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V11, V1 == V8, V8 == V12; #458 ), references = 2, size of lhs = 8:
% 0.92/1.10 greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), greater_than_0-{F}(V3), P_additive_inverse-{F}(V3,V4), product-{F}(V5,V0,V4), P_additive_inverse-{F}(V6,V5), product-{F}(V6,V7,V1) | greater_than_0-{T}(V6)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #476: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V11, V1 == V13; #459 ), references = 1, size of lhs = 10:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_additive_inverse-{F}(V3,V4), product-{F}(V4,V0,V2), P_additive_identity-{F}(V5), product-{F}(V3,V6,V4), P_additive_inverse-{F}(V7,V6), product-{F}(V7,V8,V3) | greater_than_0-{T}(V7)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #483: mergings( V0 == V4, V4 == V5, V5 == V8, V8 == V12, V1 == V9, V9 == V13; #461 ), references = 1, size of lhs = 9:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), greater_than_0-{F}(V4), P_additive_inverse-{F}(V4,V5), product-{F}(V6,V1,V5), P_additive_inverse-{F}(V7,V6), product-{F}(V7,V8,V0) | greater_than_0-{T}(V7)
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #500: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V13, V13 == V17, V3 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V18; #487 ), references = 2, size of lhs = 10:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), P_a-{F}(V5), P_multiplicative_inverse-{F}(V5,V6), product-{F}(V0,V6,V7), P_additive_inverse-{F}(V7,V2), product-{F}(V6,V8,V3) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #519: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V0, V0 == V12, V12 == V14, V14 == V18, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V19; #503 ), references = 1, size of lhs = 7:
% 0.92/1.10 greater_than_0-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), greater_than_0-{F}(V1), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V0,V2), P_additive_identity-{F}(V3) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #536: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V0, V0 == V12, V12 == V14, V14 == V16, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17; #520 ), references = 1, size of lhs = 4:
% 0.92/1.10 P_a-{F}(V0), greater_than_0-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #550: mergings( V3 == V7, V2 == V4, V4 == V8; #546 ), references = 2, size of lhs = 7:
% 0.92/1.10 greater_than_0-{F}(V0), P_a-{F}(V0), greater_than_0-{F}(V1), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3), P_additive_inverse-{F}(V3,V2), P_additive_identity-{F}(V4) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #562: mergings( V2 == V4, V4 == V7, V7 == V10, V3 == V5, V5 == V8, V8 == V16, V11 == V13; #554 ), references = 1, size of lhs = 11:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), greater_than_0-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), P_additive_inverse-{F}(V3,V4), P_additive_inverse-{F}(V5,V4), P_additive_inverse-{F}(V6,V4), product-{F}(V0,V6,V1), product-{F}(V5,V7,V3), P_additive_identity-{F}(V8) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #570: mergings( V2 == V4, V4 == V7, V7 == V0, V3 == V5, V5 == V8, V8 == V12; #563 ), references = 1, size of lhs = 8:
% 0.92/1.10 greater_than_0-{F}(V0), greater_than_0-{F}(V1), greater_than_0-{F}(V2), P_a-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V3,V1), product-{F}(V3,V4,V3), P_additive_identity-{F}(V5) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #582: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V2 == V4, V4 == V6, V6 == V8, V8 == V11; #573 ), references = 1, size of lhs = 3:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), product-{F}(V0,V1,V0), P_additive_identity-{F}(V2) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #588: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #583 ), references = 1, size of lhs = 2:
% 0.92/1.10 P_multiplicative_identity-{F}(V0), product-{F}(V0,V1,V0) | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 #591: exists( #14, #589 ), references = 1, size of lhs = 0:
% 0.92/1.10 FALSE | FALSE
% 0.92/1.10 (used 0 times, uses = {})
% 0.92/1.10
% 0.92/1.10 number of learnt formulas = 36
% 0.92/1.10
% 0.92/1.10
% 0.92/1.10 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10
% 0.92/1.10 randbase = 1
%------------------------------------------------------------------------------