TSTP Solution File: FLD019-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD019-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:01:05 EDT 2022
% Result : Unsatisfiable 1.95s 2.16s
% Output : Refutation 1.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : FLD019-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 09:32:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.95/2.16 GeoParameters:
% 1.95/2.16
% 1.95/2.16 tptp_input = 1
% 1.95/2.16 tptp_output = 0
% 1.95/2.16 nonempty = 1
% 1.95/2.16 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.16 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.95/2.16
% 1.95/2.16
% 1.95/2.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.16 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.16
% 1.95/2.16 RuleSystem INPUT:
% 1.95/2.16
% 1.95/2.16 Initial Rules:
% 1.95/2.16 #0: input, references = 3, size of lhs = 7:
% 1.95/2.16 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #1: input, references = 11, size of lhs = 3:
% 1.95/2.16 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #2: input, references = 10, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #3: input, references = 10, size of lhs = 5:
% 1.95/2.16 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #4: input, references = 3, size of lhs = 8:
% 1.95/2.16 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #5: input, references = 8, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #6: input, references = 3, size of lhs = 5:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #7: input, references = 5, size of lhs = 6:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #8: input, references = 6, size of lhs = 10:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #9: input, references = 3, size of lhs = 5:
% 1.95/2.16 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)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #10: input, references = 3, size of lhs = 2:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #11: input, references = 5, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #12: input, references = 3, size of lhs = 5:
% 1.95/2.16 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)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #13: input, references = 3, size of lhs = 2:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #14: input, references = 3, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #15: input, references = 10, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #16: input, references = 3, size of lhs = 4:
% 1.95/2.16 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)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #17: input, references = 5, size of lhs = 4:
% 1.95/2.16 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)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #18: input, references = 7, size of lhs = 6:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #19: input, references = 5, size of lhs = 5:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #20: input, references = 3, size of lhs = 3:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #21: input, references = 25, size of lhs = 3:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #22: input, references = 23, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #23: input, references = 11, size of lhs = 6:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #24: input, references = 3, size of lhs = 6:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #25: input, references = 22, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #26: input, references = 9, size of lhs = 3:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #27: input, references = 4, size of lhs = 3:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #28: input, references = 5, size of lhs = 4:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V3) | equalish-{T}(V3,V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #29: input, references = 7, size of lhs = 5:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V3), equalish-{F}(V2,V0) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #30: input, references = 18, size of lhs = 2:
% 1.95/2.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #31: input, references = 4, size of lhs = 0:
% 1.95/2.16 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #32: input, references = 6, size of lhs = 1:
% 1.95/2.16 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #33: input, references = 8, size of lhs = 2:
% 1.95/2.16 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #34: input, references = 4, size of lhs = 0:
% 1.95/2.16 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #35: input, references = 3, size of lhs = 1:
% 1.95/2.16 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #36: input, references = 4, size of lhs = 0:
% 1.95/2.16 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 number of initial rules = 37
% 1.95/2.16
% 1.95/2.16 Simplifiers:
% 1.95/2.16 #37: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #38: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #39: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #40: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #41: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #42: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #43: unsound, references = 3, size of lhs = 3:
% 1.95/2.16 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 number of simplifiers = 7
% 1.95/2.16
% 1.95/2.16 Learnt:
% 1.95/2.16 #64: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #58 ), references = 1, size of lhs = 7:
% 1.95/2.16 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V2), P_additive_inverse-{F}(V1,V3) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #71: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #65 ), references = 1, size of lhs = 6:
% 1.95/2.16 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #114: mergings( V3 == V5, V5 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V11, V11 == V15, V15 == V17, V17 == V19; #103 ), references = 5, size of lhs = 13:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V3,V2,V7), P_multiply-{F}(V7,V1,V8), P_additive_identity-{F}(V9), equalish-{F}(V8,V9) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #123: mergings( V3 == V1, V0 == V6; #120 ), references = 1, size of lhs = 9:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V2), P_add-{F}(V0,V3,V0) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #150: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V0 == V5, V5 == V7, V7 == V8, V8 == V10; #141 ), references = 1, size of lhs = 5:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V0), P_additive_identity-{F}(V1) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #179: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V9 == V11, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #168 ), references = 1, size of lhs = 6:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #232: mergings( V3 == V5, V5 == V8, V8 == V9, V9 == V11, V4 == V7, V7 == V10, V10 == V12; #222 ), references = 1, size of lhs = 7:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V0,V1,V4), P_additive_identity-{F}(V4) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #244: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #223 ), references = 3, size of lhs = 11:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_a-{F}(V3), P_add-{F}(V0,V1,V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V5,V3), P_multiplicative_identity-{F}(V6), P_additive_inverse-{F}(V3,V7) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #256: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V21, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22; #224 ), references = 2, size of lhs = 18:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V5), defined-{F}(V8), P_multiply-{F}(V8,V6,V3), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V3), less_or_equal-{F}(V4,V9), P_add-{F}(V9,V5,V10), P_multiplicative_identity-{F}(V10), P_add-{F}(V8,V7,V11), P_multiply-{F}(V11,V6,V3) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #277: mergings( V3 == V4, V4 == V6, V6 == V10, V5 == V7, V7 == V11; #270 ), references = 1, size of lhs = 11:
% 1.95/2.16 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_a-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), less_or_equal-{F}(V4,V3), P_multiplicative_identity-{F}(V5), P_additive_inverse-{F}(V3,V6) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #283: mergings( V3 == V4, V4 == V6, V6 == V10, V5 == V7, V7 == V15; #271 ), references = 1, size of lhs = 18:
% 1.95/2.16 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), less_or_equal-{F}(V4,V3), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V5), defined-{F}(V8), P_multiply-{F}(V8,V6,V3), P_add-{F}(V4,V5,V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V8,V7,V10), P_multiply-{F}(V10,V6,V3) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #325: mergings( V3 == V5, V5 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V30, V4 == V6, V6 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V28; #312 ), references = 3, size of lhs = 23:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), P_add-{F}(V3,V2,V7), P_multiply-{F}(V7,V1,V8), defined-{F}(V9), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V10,V9), defined-{F}(V12), P_multiply-{F}(V12,V10,V13), equalish-{F}(V13,V14), P_add-{F}(V14,V9,V15), P_multiplicative_identity-{F}(V15), P_add-{F}(V12,V11,V16), P_multiply-{F}(V16,V10,V6), P_additive_identity-{F}(V17), equalish-{F}(V8,V17) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #340: mergings( V3 == V1, V0 == V13; #337 ), references = 1, size of lhs = 19:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V2), P_add-{F}(V0,V3,V0), P_add-{F}(V1,V2,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V5), defined-{F}(V8), P_multiply-{F}(V8,V6,V9), equalish-{F}(V9,V10), P_add-{F}(V10,V5,V0), P_add-{F}(V8,V7,V11), P_multiply-{F}(V11,V6,V4) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #397: mergings( V3 == V5, V5 == V14, V14 == V16, V16 == V18, V18 == V24, V4 == V6, V6 == V15, V15 == V17, V17 == V19, V19 == V25; #386 ), references = 2, size of lhs = 21:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V0), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), P_add-{F}(V3,V2,V7), P_multiply-{F}(V7,V1,V8), defined-{F}(V9), defined-{F}(V10), P_add-{F}(V9,V10,V6), equalish-{F}(V10,V11), P_add-{F}(V11,V9,V12), P_a-{F}(V12), P_additive_identity-{F}(V13), less_or_equal-{F}(V13,V12), less_or_equal-{F}(V8,V13), P_multiplicative_identity-{F}(V14), P_additive_inverse-{F}(V12,V15) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #415: mergings( V3 == V4, V4 == V6, V6 == V11, V0 == V5, V5 == V7, V7 == V16; #408 ), references = 1, size of lhs = 18:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), P_add-{F}(V0,V3,V0), P_add-{F}(V2,V1,V4), less_or_equal-{F}(V2,V5), P_additive_identity-{F}(V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V6,V7,V4), equalish-{F}(V7,V8), P_add-{F}(V8,V6,V9), P_a-{F}(V9), less_or_equal-{F}(V5,V9), P_additive_inverse-{F}(V9,V10) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #470: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V21; #456 ), references = 2, size of lhs = 12:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_add-{F}(V0,V1,V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V5,V6), P_a-{F}(V6), equalish-{F}(V3,V6), P_multiplicative_identity-{F}(V7), P_additive_inverse-{F}(V6,V8) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #487: mergings( V3 == V4, V4 == V6, V6 == V10, V5 == V7, V7 == V12; #481 ), references = 2, size of lhs = 12:
% 1.95/2.16 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), less_or_equal-{F}(V4,V5), P_a-{F}(V5), equalish-{F}(V3,V5), P_multiplicative_identity-{F}(V6), P_additive_inverse-{F}(V5,V7) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #494: mergings( V0 == V4, V3 == V6; #491 ), references = 2, size of lhs = 9:
% 1.95/2.16 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), less_or_equal-{F}(V2,V0), P_multiplicative_identity-{F}(V3) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #502: mergings( V0 == V2, V2 == V4, V6 == V8, V1 == V3, V3 == V7; #496 ), references = 1, size of lhs = 9:
% 1.95/2.16 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_multiply-{F}(V0,V0,V1), defined-{F}(V2), equalish-{F}(V2,V0), P_additive_inverse-{F}(V1,V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #516: mergings( V2 == V5, V5 == V7, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11; #507 ), references = 1, size of lhs = 6:
% 1.95/2.16 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_multiply-{F}(V0,V0,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #559: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V6 == V8, V8 == V10, V10 == V12; #549 ), references = 4, size of lhs = 9:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), equalish-{F}(V2,V5), P_additive_inverse-{F}(V5,V6) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #567: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V20, V6 == V8, V8 == V10, V10 == V17; #550 ), references = 1, size of lhs = 17:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V3), defined-{F}(V6), P_multiply-{F}(V6,V4,V7), equalish-{F}(V7,V8), P_add-{F}(V8,V3,V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V6,V5,V10), P_multiply-{F}(V10,V4,V11), equalish-{F}(V2,V11), P_additive_identity-{F}(V12) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #575: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V20, V6 == V8, V8 == V10, V10 == V27; #551 ), references = 1, size of lhs = 27:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V3), defined-{F}(V6), P_multiply-{F}(V6,V4,V7), equalish-{F}(V7,V8), P_add-{F}(V8,V3,V9), P_add-{F}(V6,V5,V10), P_multiply-{F}(V10,V4,V11), equalish-{F}(V2,V11), P_additive_identity-{F}(V12), defined-{F}(V13), defined-{F}(V14), defined-{F}(V15), P_multiply-{F}(V15,V14,V13), defined-{F}(V16), P_multiply-{F}(V16,V14,V17), equalish-{F}(V17,V18), P_add-{F}(V18,V13,V19), P_multiplicative_identity-{F}(V19), P_add-{F}(V16,V15,V20), P_multiply-{F}(V20,V14,V9) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #591: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11; #579 ), references = 1, size of lhs = 6:
% 1.95/2.16 defined-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #595: mergings( V0 == V2, V1 == V5; #592 ), references = 1, size of lhs = 9:
% 1.95/2.16 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), P_a-{F}(V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V0), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V1,V0)
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #653: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #640 ), references = 1, size of lhs = 6:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #665: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18; #641 ), references = 1, size of lhs = 12:
% 1.95/2.16 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V0,V3), P_add-{F}(V4,V0,V3), less_or_equal-{F}(V4,V5), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_additive_inverse-{F}(V0,V7) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #727: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #712 ), references = 1, size of lhs = 7:
% 1.95/2.16 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V2,V1), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #741: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19; #713 ), references = 1, size of lhs = 13:
% 1.95/2.16 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_add-{F}(V1,V2,V3), less_or_equal-{F}(V0,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_additive_inverse-{F}(V0,V6), less_or_equal-{F}(V7,V4), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V3) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #777: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #772 ), references = 1, size of lhs = 10:
% 1.95/2.16 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), equalish-{F}(V3,V4), P_a-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_additive_inverse-{F}(V4,V7) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #786: mergings( V0 == V3, V3 == V5, V5 == V8, V7 == V10, V4 == V6, V6 == V9; #779 ), references = 1, size of lhs = 7:
% 1.95/2.16 P_a-{F}(V0), defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #798: mergings( V2 == V5, V5 == V6, V6 == V8, V8 == V10, V3 == V4, V4 == V7, V7 == V9, V9 == V11; #789 ), references = 2, size of lhs = 4:
% 1.95/2.16 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #803: mergings( V1 == V3, V2 == V4; #800 ), references = 1, size of lhs = 2:
% 1.95/2.16 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #806: mergings( V1 == V2; #804 ), references = 1, size of lhs = 1:
% 1.95/2.16 P_additive_identity-{F}(V0) | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 #808: exists( #31, #804 ), references = 1, size of lhs = 0:
% 1.95/2.16 FALSE | FALSE
% 1.95/2.16 (used 0 times, uses = {})
% 1.95/2.16
% 1.95/2.16 number of learnt formulas = 35
% 1.95/2.16
% 1.95/2.16
% 1.95/2.16 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.95/2.16
% 1.95/2.16 randbase = 1
%------------------------------------------------------------------------------