TSTP Solution File: BOO013-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 05:58:38 EDT 2022
% Result : Unsatisfiable 0.38s 0.58s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 08:50:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/0.58 GeoParameters:
% 0.38/0.58
% 0.38/0.58 tptp_input = 1
% 0.38/0.58 tptp_output = 0
% 0.38/0.58 nonempty = 1
% 0.38/0.58 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.38/0.58
% 0.38/0.58
% 0.38/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58
% 0.38/0.58 RuleSystem INPUT:
% 0.38/0.58
% 0.38/0.58 Initial Rules:
% 0.38/0.58 #0: input, references = 5, size of lhs = 3:
% 0.38/0.58 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #1: input, references = 7, size of lhs = 3:
% 0.38/0.58 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #2: input, references = 6, size of lhs = 6:
% 0.38/0.58 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
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #3: input, references = 4, size of lhs = 6:
% 0.38/0.58 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
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #4: input, references = 4, size of lhs = 3:
% 0.38/0.58 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #5: input, references = 4, size of lhs = 4:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #6: input, references = 4, size of lhs = 5:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_add-{F}(V2,V3,V4), V4 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #7: input, references = 4, size of lhs = 5:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V0 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #8: input, references = 5, size of lhs = 6:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), V4 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #9: input, references = 4, size of lhs = 7:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_multiply-{F}(V2,V3,V5), V5 == V0 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #10: input, references = 4, size of lhs = 7:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V6), P_add-{F}(V2,V6,V4), P_multiply-{F}(V2,V6,V5), P_inverse-{F}(V2,V6) | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #11: input, references = 8, size of lhs = 2:
% 0.38/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #12: input, references = 7, size of lhs = 2:
% 0.38/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #13: input, references = 4, size of lhs = 0:
% 0.38/0.58 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #14: input, references = 4, size of lhs = 0:
% 0.38/0.58 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #15: input, references = 6, size of lhs = 1:
% 0.38/0.58 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #16: input, references = 4, size of lhs = 0:
% 0.38/0.58 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #17: input, references = 6, size of lhs = 0:
% 0.38/0.58 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 number of initial rules = 18
% 0.38/0.58
% 0.38/0.58 Simplifiers:
% 0.38/0.58 #18: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #19: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #20: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #21: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #22: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #23: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #24: unsound, references = 3, size of lhs = 3:
% 0.38/0.58 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 number of simplifiers = 7
% 0.38/0.58
% 0.38/0.58 Learnt:
% 0.38/0.58 #26: exists( #11, #6 ), references = 4, size of lhs = 3:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_add-{T}(V2,V3,V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #28: exists( #12, #7 ), references = 4, size of lhs = 3:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #30: exists( #11, #4 ), references = 6, size of lhs = 2:
% 0.38/0.58 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #37: mergings( V0 == V2; #35 ), references = 1, size of lhs = 2:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #40: exists( #11, #0 ), references = 8, size of lhs = 1:
% 0.38/0.58 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #45: mergings( V1 == V2; #43 ), references = 1, size of lhs = 3:
% 0.38/0.58 P_a-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_b-{T}(V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #52: exists( #12, #5 ), references = 7, size of lhs = 3:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V1,V2)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #57: exists( #12, #55 ), references = 5, size of lhs = 4:
% 0.38/0.58 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)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #65: exists( #11, #63 ), references = 2, size of lhs = 6:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), V4 == V0 | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #72: mergings( V2 == V4, V3 == V0; #69 ), references = 1, size of lhs = 2:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #74: exists( #11, #8 ), references = 2, size of lhs = 4:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_add-{T}(V2,V3,V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #78: exists( #12, #1 ), references = 5, size of lhs = 1:
% 0.38/0.58 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #79: exists( #12, #2 ), references = 1, size of lhs = 4:
% 0.38/0.58 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)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #80: exists( #12, #65 ), references = 2, size of lhs = 4:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_multiply-{T}(V2,V3,V0)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #97: mergings( V1 == V3, V2 == V4; #92 ), references = 1, size of lhs = 3:
% 0.38/0.58 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_b-{T}(V1)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #101: mergings( V1 == V2, V2 == V4, V3 == V5; #94 ), references = 1, size of lhs = 5:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_add-{F}(V0,V2,V1), P_add-{F}(V0,V0,V3) | P_b-{T}(V3)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #137: mergings( V2 == V5, V5 == V7, V7 == V8, V3 == V4, V4 == V6; #129 ), references = 1, size of lhs = 5:
% 0.38/0.58 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V2,V0,V4) | P_inverse-{T}(V3,V4)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #150: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V9, V4 == V5, V5 == V7; #131 ), references = 1, size of lhs = 7:
% 0.38/0.58 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V3,V1), P_multiply-{F}(V2,V0,V4), P_add-{F}(V1,V2,V5), P_add-{F}(V5,V3,V0), P_add-{F}(V1,V4,V6) | P_inverse-{T}(V3,V6)
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #168: mergings( V1 == V2, V2 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V11, V3 == V5, V5 == V6, V6 == V8, V8 == V12; #157 ), references = 1, size of lhs = 3:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #180: mergings( V1 == V2, V2 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V11, V3 == V5, V5 == V6, V6 == V8, V8 == V12; #169 ), references = 1, size of lhs = 2:
% 0.38/0.58 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #188: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #181 ), references = 1, size of lhs = 1:
% 0.38/0.58 P_additive_identity-{F}(V0) | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 #190: exists( #13, #181 ), references = 1, size of lhs = 0:
% 0.38/0.58 FALSE | FALSE
% 0.38/0.58 (used 0 times, uses = {})
% 0.38/0.58
% 0.38/0.58 number of learnt formulas = 22
% 0.38/0.58
% 0.38/0.58
% 0.38/0.58 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58
% 0.38/0.58 randbase = 1
%------------------------------------------------------------------------------