TSTP Solution File: BOO015-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 05:58:39 EDT 2022
% Result : Unsatisfiable 91.33s 91.50s
% Output : Refutation 91.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 08:47:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 91.33/91.50 GeoParameters:
% 91.33/91.50
% 91.33/91.50 tptp_input = 1
% 91.33/91.50 tptp_output = 0
% 91.33/91.50 nonempty = 1
% 91.33/91.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.33/91.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 91.33/91.50
% 91.33/91.50
% 91.33/91.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.33/91.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.33/91.50
% 91.33/91.50 RuleSystem INPUT:
% 91.33/91.50
% 91.33/91.50 Initial Rules:
% 91.33/91.50 #0: input, references = 5, size of lhs = 3:
% 91.33/91.50 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #1: input, references = 5, size of lhs = 3:
% 91.33/91.50 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #2: input, references = 7, size of lhs = 6:
% 91.33/91.50 P_multiply-{F}(V1,V2,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V0,V1,V5), P_add-{F}(V0,V2,V6), P_multiply-{F}(V5,V6,V7), V4 == V7 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #3: input, references = 5, size of lhs = 6:
% 91.33/91.50 P_add-{F}(V1,V2,V3), P_multiply-{F}(V0,V3,V4), P_multiply-{F}(V0,V1,V5), P_multiply-{F}(V0,V2,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #4: input, references = 4, size of lhs = 3:
% 91.33/91.50 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #5: input, references = 4, size of lhs = 4:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V2,V1,V3), V3 == V2 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #6: input, references = 4, size of lhs = 5:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_add-{F}(V2,V3,V4), V4 == V1 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #7: input, references = 4, size of lhs = 5:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V0 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #8: input, references = 9, size of lhs = 9:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_inverse-{F}(V4,V8), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_add-{F}(V6,V7,V8) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #9: input, references = 11, size of lhs = 2:
% 91.33/91.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #10: input, references = 9, size of lhs = 2:
% 91.33/91.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #11: input, references = 4, size of lhs = 0:
% 91.33/91.50 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #12: input, references = 4, size of lhs = 0:
% 91.33/91.50 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #13: input, references = 13, size of lhs = 1:
% 91.33/91.50 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #14: input, references = 4, size of lhs = 0:
% 91.33/91.50 FALSE | EXISTS V0: P_a-{T}(V0)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #15: input, references = 5, size of lhs = 0:
% 91.33/91.50 FALSE | EXISTS V0: P_b-{T}(V0)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 number of initial rules = 16
% 91.33/91.50
% 91.33/91.50 Simplifiers:
% 91.33/91.50 #16: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #17: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #18: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #19: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #20: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #21: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #22: unsound, references = 3, size of lhs = 3:
% 91.33/91.50 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 number of simplifiers = 7
% 91.33/91.50
% 91.33/91.50 Learnt:
% 91.33/91.50 #24: exists( #9, #6 ), references = 7, size of lhs = 3:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_add-{T}(V2,V3,V1)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #26: exists( #10, #7 ), references = 7, size of lhs = 3:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V0)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #28: exists( #9, #4 ), references = 12, size of lhs = 2:
% 91.33/91.50 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #35: mergings( V0 == V2; #33 ), references = 2, size of lhs = 2:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #38: exists( #9, #0 ), references = 16, size of lhs = 1:
% 91.33/91.50 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #40: exists( #10, #5 ), references = 10, size of lhs = 3:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V1,V2)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #47: mergings( V2 == V4, V3 == V0; #44 ), references = 1, size of lhs = 2:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #49: exists( #10, #1 ), references = 8, size of lhs = 1:
% 91.33/91.50 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #54: mergings( V2 == V3; #52 ), references = 1, size of lhs = 6:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V0), P_b-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #61: mergings( V1 == V3, V3 == V4, V2 == V5; #57 ), references = 1, size of lhs = 4:
% 91.33/91.50 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_inverse-{F}(V0,V1), P_additive_identity-{F}(V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #64: exists( #10, #2 ), references = 4, size of lhs = 4:
% 91.33/91.50 P_multiply-{F}(V0,V1,V2), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V0,V5), P_add-{F}(V3,V1,V6) | P_multiply-{T}(V5,V6,V4)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #67: exists( #9, #3 ), references = 5, size of lhs = 4:
% 91.33/91.50 P_add-{F}(V0,V1,V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V0,V5), P_multiply-{F}(V3,V1,V6) | P_add-{T}(V5,V6,V4)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #72: exists( #9, #70 ), references = 8, size of lhs = 5:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V3,V1), P_multiply-{F}(V4,V3,V5), P_add-{F}(V2,V5,V6) | P_add-{T}(V4,V2,V6)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #76: exists( #10, #74 ), references = 8, size of lhs = 4:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V2,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #93: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V4 == V7, V7 == V10; #85 ), references = 1, size of lhs = 10:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V4), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V4,V2,V2), P_add-{F}(V4,V0,V5), P_multiply-{F}(V3,V5,V6), P_inverse-{F}(V6,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #97: mergings( V2 == V3; #95 ), references = 1, size of lhs = 6:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V0), P_multiply-{F}(V2,V3,V2) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #103: mergings( V2 == V4, V3 == V5; #100 ), references = 1, size of lhs = 6:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V1,V1), P_a-{F}(V2), P_b-{F}(V2), P_multiply-{F}(V2,V2,V2) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #108: mergings( V2 == V4, V3 == V5; #105 ), references = 1, size of lhs = 7:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), P_inverse-{F}(V4,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #158: exists( #9, #2 ), references = 1, size of lhs = 4:
% 91.33/91.50 P_multiply-{F}(V0,V1,V2), P_add-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V4,V5,V6) | P_add-{T}(V3,V2,V6)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #188: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V5 == V7, V7 == V11; #179 ), references = 1, size of lhs = 11:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V1), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V0,V4), P_multiply-{F}(V2,V5,V0), P_multiply-{F}(V6,V5,V5), P_add-{F}(V3,V5,V7), P_add-{F}(V8,V7,V1), P_multiply-{F}(V8,V6,V0), P_add-{F}(V8,V4,V9) | P_inverse-{T}(V5,V9)
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #202: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V15, V6 == V8, V8 == V12, V12 == V16; #191 ), references = 1, size of lhs = 15:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V1), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V0,V4), P_a-{F}(V5), P_inverse-{F}(V5,V4), P_b-{F}(V6), P_multiply-{F}(V5,V6,V7), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V8,V7,V7), P_add-{F}(V3,V7,V9), P_inverse-{F}(V6,V10), P_add-{F}(V10,V9,V1), P_multiply-{F}(V10,V8,V0) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #225: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V19, V4 == V6, V6 == V10, V10 == V12, V12 == V16, V16 == V20; #210 ), references = 1, size of lhs = 20:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V1), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V0,V4), P_a-{F}(V5), P_inverse-{F}(V5,V4), P_b-{F}(V6), P_multiply-{F}(V5,V6,V7), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V8,V7,V7), P_inverse-{F}(V6,V9), P_multiply-{F}(V9,V8,V0), P_add-{F}(V3,V10,V1), P_multiply-{F}(V10,V11,V7), P_add-{F}(V9,V12,V1), P_add-{F}(V11,V13,V12), P_multiply-{F}(V3,V13,V14), P_add-{F}(V11,V14,V15), P_add-{F}(V9,V15,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #251: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V23, V7 == V9, V9 == V13, V13 == V15, V15 == V19, V19 == V24; #233 ), references = 1, size of lhs = 26:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V1), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V0,V4), P_a-{F}(V5), P_inverse-{F}(V5,V4), P_add-{F}(V3,V5,V1), P_b-{F}(V6), P_inverse-{F}(V6,V7), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V6,V9,V8), P_add-{F}(V5,V9,V10), P_multiply-{F}(V6,V10,V11), P_multiply-{F}(V7,V11,V0), P_multiply-{F}(V2,V12,V0), P_multiply-{F}(V5,V13,V12), P_add-{F}(V6,V13,V14), P_multiply-{F}(V5,V14,V15), P_multiply-{F}(V2,V15,V0), P_add-{F}(V7,V16,V1), P_add-{F}(V6,V17,V16), P_multiply-{F}(V3,V17,V18), P_add-{F}(V6,V18,V19), P_add-{F}(V7,V19,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #282: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V6 == V30, V12 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V25, V4 == V30, V30 == V10, V10 == V15, V15 == V17, V17 == V21, V21 == V26; #260 ), references = 1, size of lhs = 21:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V1,V1), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V0,V4), P_a-{F}(V5), P_inverse-{F}(V5,V4), P_add-{F}(V3,V5,V1), P_b-{F}(V6), P_add-{F}(V7,V0,V1), P_multiply-{F}(V5,V7,V8), P_multiply-{F}(V2,V8,V0), P_multiply-{F}(V5,V1,V9), P_multiply-{F}(V2,V9,V0), P_multiply-{F}(V6,V10,V6), P_add-{F}(V5,V10,V11), P_multiply-{F}(V6,V11,V6), P_add-{F}(V6,V12,V6), P_multiply-{F}(V3,V12,V13), P_add-{F}(V6,V13,V6) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #323: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V13 == V33, V18 == V19, V19 == V20, V20 == V22, V22 == V25, V8 == V35, V25 == V26, V26 == V27, V27 == V29, V3 == V6, V6 == V35, V35 == V11, V11 == V33, V33 == V16, V16 == V21, V21 == V23, V23 == V28, V28 == V30; #294 ), references = 1, size of lhs = 16:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V1), P_add-{F}(V1,V2,V1), P_a-{F}(V3), P_add-{F}(V2,V3,V3), P_multiply-{F}(V3,V1,V3), P_b-{F}(V4), P_add-{F}(V4,V2,V4), P_add-{F}(V4,V0,V4), P_multiply-{F}(V4,V1,V4), P_multiply-{F}(V3,V5,V3), P_add-{F}(V5,V0,V1), P_multiply-{F}(V4,V6,V4), P_add-{F}(V6,V0,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #356: mergings( V7 == V24, V1 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V14 == V33, V19 == V20, V20 == V21, V21 == V23, V23 == V25, V9 == V2, V25 == V26, V26 == V27, V27 == V29, V4 == V2, V2 == V12, V12 == V33, V33 == V17, V17 == V22, V22 == V24, V24 == V28, V28 == V30; #326 ), references = 1, size of lhs = 9:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V1), P_a-{F}(V2), P_add-{F}(V0,V2,V2), P_multiply-{F}(V2,V1,V2), P_multiply-{F}(V2,V3,V2), P_add-{F}(V3,V0,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #391: mergings( V9 == V26, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V16 == V2, V21 == V22, V22 == V23, V23 == V25, V25 == V27, V11 == V4, V27 == V28, V28 == V29, V29 == V31, V6 == V4, V4 == V14, V14 == V2, V2 == V19, V19 == V24, V24 == V26, V26 == V30, V30 == V32; #360 ), references = 2, size of lhs = 4:
% 91.33/91.50 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V1) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #401: exists( #12, #399 ), references = 1, size of lhs = 1:
% 91.33/91.50 P_additive_identity-{F}(V0) | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 #403: exists( #11, #400 ), references = 1, size of lhs = 0:
% 91.33/91.50 FALSE | FALSE
% 91.33/91.50 (used 0 times, uses = {})
% 91.33/91.50
% 91.33/91.50 number of learnt formulas = 29
% 91.33/91.50
% 91.33/91.50
% 91.33/91.50 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.33/91.50
% 91.33/91.50 randbase = 1
%------------------------------------------------------------------------------