TSTP Solution File: BOO005-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 05:58:35 EDT 2022
% Result : Unsatisfiable 1.63s 1.80s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 08:41:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.63/1.80 GeoParameters:
% 1.63/1.80
% 1.63/1.80 tptp_input = 1
% 1.63/1.80 tptp_output = 0
% 1.63/1.80 nonempty = 1
% 1.63/1.80 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/1.80 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.63/1.80
% 1.63/1.80
% 1.63/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/1.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/1.80
% 1.63/1.80 RuleSystem INPUT:
% 1.63/1.80
% 1.63/1.80 Initial Rules:
% 1.63/1.80 #0: input, references = 10, size of lhs = 1:
% 1.63/1.80 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #1: input, references = 4, size of lhs = 1:
% 1.63/1.80 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #2: input, references = 4, size of lhs = 1:
% 1.63/1.80 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #3: input, references = 6, size of lhs = 1:
% 1.63/1.80 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #4: input, references = 5, size of lhs = 2:
% 1.63/1.80 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #5: input, references = 8, size of lhs = 2:
% 1.63/1.80 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #6: input, references = 7, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #7: input, references = 5, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #8: input, references = 5, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V6,V5,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #9: input, references = 5, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | product-{T}(V6,V5,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #10: input, references = 4, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #11: input, references = 5, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | product-{T}(V5,V6,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #12: input, references = 5, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V6,V5,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #13: input, references = 3, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | sum-{T}(V6,V5,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #14: input, references = 3, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V6,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #15: input, references = 3, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | sum-{T}(V5,V6,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #16: input, references = 5, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #17: input, references = 3, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #18: input, references = 7, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #19: input, references = 3, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #20: input, references = 8, size of lhs = 5:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #21: input, references = 6, size of lhs = 5:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #22: input, references = 4, size of lhs = 4:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), sum-{F}(V2,V1,V1) | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #23: input, references = 5, size of lhs = 2:
% 1.63/1.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #24: input, references = 4, size of lhs = 2:
% 1.63/1.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #25: input, references = 4, size of lhs = 0:
% 1.63/1.80 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #26: input, references = 4, size of lhs = 0:
% 1.63/1.80 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #27: input, references = 7, size of lhs = 1:
% 1.63/1.80 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #28: input, references = 4, size of lhs = 0:
% 1.63/1.80 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 number of initial rules = 29
% 1.63/1.80
% 1.63/1.80 Simplifiers:
% 1.63/1.80 #29: unsound, references = 3, size of lhs = 3:
% 1.63/1.80 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #30: unsound, references = 3, size of lhs = 3:
% 1.63/1.80 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #31: unsound, references = 3, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #32: unsound, references = 3, size of lhs = 3:
% 1.63/1.80 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #33: unsound, references = 3, size of lhs = 3:
% 1.63/1.80 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #34: unsound, references = 3, size of lhs = 3:
% 1.63/1.80 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 number of simplifiers = 6
% 1.63/1.80
% 1.63/1.80 Learnt:
% 1.63/1.80 #51: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #44 ), references = 2, size of lhs = 5:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), V4 == V0 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #57: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #45 ), references = 2, size of lhs = 5:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3), sum-{F}(V0,V3,V4), V0 == V4 | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #85: mergings( V3 == V4, V4 == V6, V5 == V7; #81 ), references = 1, size of lhs = 5:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V0), sum-{F}(V4,V3,V5), product-{F}(V2,V5,V6) | P_multiply-{T}(V2,V4,V6)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #102: mergings( V0 == V2, V2 == V4, V3 == V5; #98 ), references = 1, size of lhs = 2:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #119: exists( #23, #113 ), references = 1, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4) | P_add-{T}(V2,V3,V4)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #120: exists( #23, #114 ), references = 1, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V2,V3) | P_add-{T}(V0,V3,V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #121: exists( #23, #115 ), references = 1, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3) | P_add-{T}(V0,V3,V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #155: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #145 ), references = 3, size of lhs = 10:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), sum-{F}(V4,V5,V3), product-{F}(V4,V2,V6), product-{F}(V7,V5,V8), sum-{F}(V4,V8,V9), product-{F}(V7,V2,V10), sum-{F}(V6,V10,V11), sum-{F}(V11,V9,V12) | P_add-{T}(V4,V7,V12)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #164: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #146 ), references = 1, size of lhs = 10:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), sum-{F}(V4,V5,V3), product-{F}(V4,V2,V6), product-{F}(V7,V5,V8), sum-{F}(V4,V8,V9), product-{F}(V7,V2,V10), sum-{F}(V6,V10,V11), sum-{F}(V11,V9,V12) | P_add-{T}(V4,V7,V12)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #182: mergings( V2 == V3, V3 == V5, V0 == V4, V4 == V6; #177 ), references = 1, size of lhs = 2:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #210: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V6 == V10; #202 ), references = 1, size of lhs = 6:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V0,V0), P_x-{F}(V2), product-{F}(V1,V2,V3), sum-{F}(V0,V3,V2) | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #222: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V6 == V10; #213 ), references = 1, size of lhs = 3:
% 1.63/1.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V0,V0) | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #233: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #224 ), references = 1, size of lhs = 1:
% 1.63/1.80 P_additive_identity-{F}(V0) | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 #235: exists( #25, #224 ), references = 1, size of lhs = 0:
% 1.63/1.80 FALSE | FALSE
% 1.63/1.80 (used 0 times, uses = {})
% 1.63/1.80
% 1.63/1.80 number of learnt formulas = 14
% 1.63/1.80
% 1.63/1.80
% 1.63/1.80 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/1.80
% 1.63/1.80 randbase = 1
%------------------------------------------------------------------------------