TSTP Solution File: FLD043-5 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD043-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:01:10 EDT 2022
% Result : Unsatisfiable 14.72s 14.95s
% Output : Refutation 14.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD043-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n003.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 10:04:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.72/14.95 GeoParameters:
% 14.72/14.95
% 14.72/14.95 tptp_input = 1
% 14.72/14.95 tptp_output = 0
% 14.72/14.95 nonempty = 1
% 14.72/14.95 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.72/14.95 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 14.72/14.95
% 14.72/14.95
% 14.72/14.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.72/14.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.72/14.95
% 14.72/14.95 RuleSystem INPUT:
% 14.72/14.95
% 14.72/14.95 Initial Rules:
% 14.72/14.95 #0: input, references = 5, size of lhs = 3:
% 14.72/14.95 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #1: input, references = 7, size of lhs = 3:
% 14.72/14.95 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #2: input, references = 6, size of lhs = 2:
% 14.72/14.95 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #3: input, references = 7, size of lhs = 3:
% 14.72/14.95 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #4: input, references = 12, size of lhs = 2:
% 14.72/14.95 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #5: input, references = 4, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), product-{F}(V2,V3,V1), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2) | product-{T}(V6,V5,V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #6: input, references = 4, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2), product-{F}(V6,V5,V1) | product-{T}(V2,V3,V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #7: input, references = 4, size of lhs = 3:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #8: input, references = 3, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | product-{T}(V3,V2,V1), sum-{T}(V0,V2,V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #9: input, references = 3, size of lhs = 3:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #10: input, references = 5, size of lhs = 6:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | sum-{T}(V2,V3,V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #11: input, references = 8, size of lhs = 6:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | product-{T}(V5,V6,V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #12: input, references = 3, size of lhs = 5:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #13: input, references = 3, size of lhs = 2:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #14: input, references = 5, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #15: input, references = 4, size of lhs = 5:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #16: input, references = 4, size of lhs = 2:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #17: input, references = 3, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), sum-{T}(V0,V2,V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #18: input, references = 7, size of lhs = 5:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | sum-{T}(V3,V2,V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #19: input, references = 6, size of lhs = 5:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | product-{T}(V3,V2,V4)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #20: input, references = 4, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | sum-{T}(V0,V2,V3)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #21: input, references = 3, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #22: input, references = 4, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #23: input, references = 4, size of lhs = 5:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V5,V2), sum-{F}(V5,V4,V3), sum-{F}(V2,V4,V6) | less_or_equal-{T}(V3,V6)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #24: input, references = 4, size of lhs = 5:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V0,V4), product-{F}(V4,V3,V2) | less_or_equal-{T}(V0,V2)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #25: input, references = 4, size of lhs = 3:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #26: input, references = 4, size of lhs = 3:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #27: input, references = 5, size of lhs = 4:
% 14.72/14.95 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), product-{F}(V0,V2,V0) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #28: input, references = 4, size of lhs = 0:
% 14.72/14.95 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #29: input, references = 5, size of lhs = 1:
% 14.72/14.95 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #30: input, references = 4, size of lhs = 0:
% 14.72/14.95 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #31: input, references = 3, size of lhs = 1:
% 14.72/14.95 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #32: input, references = 5, size of lhs = 2:
% 14.72/14.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #33: input, references = 5, size of lhs = 2:
% 14.72/14.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #34: input, references = 4, size of lhs = 0:
% 14.72/14.95 FALSE | EXISTS V0: P_a-{T}(V0)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 number of initial rules = 35
% 14.72/14.95
% 14.72/14.95 Simplifiers:
% 14.72/14.95 #35: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #36: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #37: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #38: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #39: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #40: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #41: unsound, references = 3, size of lhs = 3:
% 14.72/14.95 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 number of simplifiers = 7
% 14.72/14.95
% 14.72/14.95 Learnt:
% 14.72/14.95 #71: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V4 == V6, V6 == V10, V10 == V14; #60 ), references = 2, size of lhs = 10:
% 14.72/14.95 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V4,V1,V2), product-{F}(V5,V0,V2), sum-{F}(V1,V5,V6), product-{F}(V4,V6,V7), product-{F}(V7,V0,V2) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #353: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V4 == V6, V6 == V9, V9 == V11; #344 ), references = 1, size of lhs = 12:
% 14.72/14.95 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V1,V4,V2), product-{F}(V4,V0,V5), sum-{F}(V6,V1,V7), product-{F}(V7,V0,V8), product-{F}(V6,V0,V9), sum-{F}(V9,V10,V5), sum-{F}(V8,V10,V2) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #361: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V4 == V6, V6 == V9, V9 == V12; #345 ), references = 1, size of lhs = 16:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), product-{F}(V5,V2,V3), product-{F}(V6,V1,V7), sum-{F}(V0,V6,V8), sum-{F}(V2,V8,V9), product-{F}(V5,V9,V8), sum-{F}(V10,V0,V11), product-{F}(V11,V1,V12), product-{F}(V10,V1,V13), sum-{F}(V13,V14,V7), sum-{F}(V12,V14,V3) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #381: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V12, V12 == V15, V15 == V17; #368 ), references = 1, size of lhs = 17:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V3,V6,V4), product-{F}(V6,V2,V7), product-{F}(V8,V2,V0), product-{F}(V9,V2,V1), sum-{F}(V9,V8,V10), sum-{F}(V10,V3,V11), product-{F}(V11,V2,V12), sum-{F}(V12,V13,V4), sum-{F}(V0,V13,V14), sum-{F}(V1,V14,V7) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #393: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V17, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V18; #369 ), references = 1, size of lhs = 21:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_a-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V7,V4,V5), product-{F}(V8,V3,V0), product-{F}(V9,V3,V1), sum-{F}(V9,V8,V10), sum-{F}(V10,V2,V11), product-{F}(V11,V3,V12), sum-{F}(V12,V13,V5), sum-{F}(V0,V13,V14), sum-{F}(V1,V14,V15), product-{F}(V16,V3,V15), sum-{F}(V2,V16,V17), sum-{F}(V4,V17,V18), product-{F}(V7,V18,V17) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #413: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V18, V18 == V20, V4 == V6, V6 == V10, V10 == V12, V12 == V16, V16 == V19, V19 == V21; #398 ), references = 2, size of lhs = 19:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_a-{F}(V4), product-{F}(V0,V4,V2), product-{F}(V1,V4,V3), defined-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V5,V8,V6), product-{F}(V8,V4,V9), sum-{F}(V0,V5,V10), sum-{F}(V1,V10,V11), product-{F}(V11,V4,V12), sum-{F}(V12,V13,V6), sum-{F}(V2,V13,V14), sum-{F}(V3,V14,V9) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #427: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V17, V17 == V21, V4 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V22; #399 ), references = 2, size of lhs = 23:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_a-{F}(V5), product-{F}(V0,V5,V2), product-{F}(V1,V5,V3), defined-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), product-{F}(V9,V6,V7), sum-{F}(V0,V4,V10), sum-{F}(V1,V10,V11), product-{F}(V11,V5,V12), sum-{F}(V12,V13,V7), sum-{F}(V2,V13,V14), sum-{F}(V3,V14,V15), product-{F}(V16,V5,V15), sum-{F}(V4,V16,V17), sum-{F}(V6,V17,V18), product-{F}(V9,V18,V17) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #463: mergings( V0 == V2, V2 == V4, V1 == V3, V3 == V5, V5 == V6, V6 == V7; #456 ), references = 1, size of lhs = 7:
% 14.72/14.95 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V2,V0), sum-{F}(V0,V2,V3), product-{F}(V3,V3,V1) | less_or_equal-{T}(V0,V1)
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #620: mergings( V2 == V8; #617 ), references = 1, size of lhs = 17:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_a-{F}(V4), product-{F}(V0,V4,V2), product-{F}(V1,V4,V3), defined-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V5,V8,V6), product-{F}(V8,V4,V9), sum-{F}(V3,V6,V9), sum-{F}(V0,V5,V10), sum-{F}(V1,V10,V11), product-{F}(V11,V4,V2) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #622: mergings( V2 == V9; #618 ), references = 1, size of lhs = 21:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_a-{F}(V5), product-{F}(V0,V5,V2), product-{F}(V1,V5,V3), defined-{F}(V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), product-{F}(V9,V6,V7), sum-{F}(V0,V4,V10), sum-{F}(V1,V10,V11), product-{F}(V11,V5,V2), sum-{F}(V3,V7,V12), product-{F}(V13,V5,V12), sum-{F}(V4,V13,V14), sum-{F}(V6,V14,V15), product-{F}(V9,V15,V14) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #635: mergings( V2 == V4, V4 == V5, V5 == V10, V3 == V11; #629 ), references = 1, size of lhs = 14:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_a-{F}(V4), product-{F}(V0,V4,V2), product-{F}(V1,V4,V3), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V0,V4,V7), sum-{F}(V3,V5,V7), sum-{F}(V1,V5,V8), product-{F}(V8,V4,V2) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #641: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V12, V4 == V13; #630 ), references = 1, size of lhs = 18:
% 14.72/14.95 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_a-{F}(V4), product-{F}(V0,V4,V2), product-{F}(V1,V4,V3), defined-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), product-{F}(V8,V5,V6), sum-{F}(V1,V6,V9), product-{F}(V9,V4,V2), sum-{F}(V3,V6,V10), product-{F}(V0,V4,V10), sum-{F}(V5,V6,V11), product-{F}(V8,V11,V6) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #661: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V2 == V4, V4 == V7, V7 == V11; #650 ), references = 1, size of lhs = 4:
% 14.72/14.95 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V0,V1,V0) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #681: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #671 ), references = 1, size of lhs = 1:
% 14.72/14.95 P_additive_identity-{F}(V0) | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 #684: exists( #28, #671 ), references = 1, size of lhs = 0:
% 14.72/14.95 FALSE | FALSE
% 14.72/14.95 (used 0 times, uses = {})
% 14.72/14.95
% 14.72/14.95 number of learnt formulas = 15
% 14.72/14.95
% 14.72/14.95
% 14.72/14.95 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.72/14.95
% 14.72/14.95 randbase = 1
%------------------------------------------------------------------------------