TSTP Solution File: BOO012-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 05:58:37 EDT 2022
% Result : Unsatisfiable 2.77s 2.98s
% Output : Refutation 2.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : BOO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 08:50:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.77/2.98 GeoParameters:
% 2.77/2.98
% 2.77/2.98 tptp_input = 1
% 2.77/2.98 tptp_output = 0
% 2.77/2.98 nonempty = 1
% 2.77/2.98 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/2.98 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.77/2.98
% 2.77/2.98
% 2.77/2.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/2.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/2.98
% 2.77/2.98 RuleSystem INPUT:
% 2.77/2.98
% 2.77/2.98 Initial Rules:
% 2.77/2.98 #0: input, references = 7, size of lhs = 1:
% 2.77/2.98 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #1: input, references = 4, size of lhs = 1:
% 2.77/2.98 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #2: input, references = 5, size of lhs = 1:
% 2.77/2.98 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #3: input, references = 7, size of lhs = 1:
% 2.77/2.98 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #4: input, references = 4, size of lhs = 2:
% 2.77/2.98 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #5: input, references = 6, size of lhs = 2:
% 2.77/2.98 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #6: input, references = 4, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #7: input, references = 4, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #8: input, references = 4, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #9: input, references = 4, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #10: input, references = 3, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #11: input, references = 3, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #12: input, references = 3, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #13: input, references = 3, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #14: input, references = 3, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #15: input, references = 3, size of lhs = 6:
% 2.77/2.98 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)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #16: input, references = 5, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #17: input, references = 4, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #18: input, references = 6, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #19: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #20: input, references = 7, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #21: input, references = 5, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #22: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | sum-{T}(V2,V2,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #23: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V2,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #24: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | sum-{T}(V2,V1,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #25: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V0,V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #26: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V4,V3) | sum-{T}(V2,V3,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #27: input, references = 4, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V4,V3) | product-{T}(V2,V3,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #28: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V2,V3,V4) | sum-{T}(V2,V4,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #29: input, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V3,V4) | product-{T}(V2,V4,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #30: input, references = 3, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V6,V2,V5), sum-{F}(V7,V6,V3), sum-{F}(V7,V5,V4) | sum-{T}(V3,V2,V4)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #31: input, references = 3, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V6,V2,V5), sum-{F}(V7,V6,V3), sum-{F}(V7,V5,V4) | sum-{T}(V3,V2,V4)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #32: input, references = 3, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V6,V2,V5), product-{F}(V7,V6,V3), product-{F}(V7,V5,V4) | product-{T}(V3,V2,V4)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #33: input, references = 3, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V6,V2,V5), product-{F}(V7,V6,V3), product-{F}(V7,V5,V4) | product-{T}(V3,V2,V4)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #34: input, references = 4, size of lhs = 5:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V2) | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #35: input, references = 5, size of lhs = 2:
% 2.77/2.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #36: input, references = 4, size of lhs = 2:
% 2.77/2.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #37: input, references = 4, size of lhs = 0:
% 2.77/2.98 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #38: input, references = 4, size of lhs = 0:
% 2.77/2.98 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #39: input, references = 7, size of lhs = 1:
% 2.77/2.98 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #40: input, references = 4, size of lhs = 0:
% 2.77/2.98 FALSE | EXISTS V0: P_x-{T}(V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 number of initial rules = 41
% 2.77/2.98
% 2.77/2.98 Simplifiers:
% 2.77/2.98 #41: unsound, references = 3, size of lhs = 3:
% 2.77/2.98 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #42: unsound, references = 3, size of lhs = 3:
% 2.77/2.98 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #43: unsound, references = 3, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #44: unsound, references = 3, size of lhs = 3:
% 2.77/2.98 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #45: unsound, references = 3, size of lhs = 3:
% 2.77/2.98 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #46: unsound, references = 3, size of lhs = 3:
% 2.77/2.98 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 number of simplifiers = 6
% 2.77/2.98
% 2.77/2.98 Learnt:
% 2.77/2.98 #56: exists( #35, #54 ), references = 1, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4) | P_add-{T}(V2,V3,V4)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #62: exists( #36, #60 ), references = 1, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | P_multiply-{T}(V2,V3,V4)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #74: mergings( V2 == V3, V3 == V5, V0 == V4, V4 == V6; #69 ), references = 1, size of lhs = 2:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #83: mergings( V0 == V2, V2 == V4, V3 == V5; #79 ), references = 1, size of lhs = 2:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #116: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #107 ), references = 2, size of lhs = 7:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), product-{F}(V3,V2,V4), product-{F}(V3,V5,V6), sum-{F}(V4,V6,V7), sum-{F}(V2,V7,V8) | P_add-{T}(V5,V2,V8)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #143: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #126 ), references = 2, size of lhs = 8:
% 2.77/2.98 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V2,V0), sum-{F}(V3,V4,V1), product-{F}(V4,V3,V2), product-{F}(V4,V3,V5), sum-{F}(V5,V0,V6), sum-{F}(V3,V6,V7) | P_inverse-{T}(V4,V7)
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #156: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #150 ), references = 1, size of lhs = 6:
% 2.77/2.98 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), sum-{F}(V0,V0,V3), sum-{F}(V2,V3,V2) | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #165: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #158 ), references = 1, size of lhs = 3:
% 2.77/2.98 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #171: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #166 ), references = 1, size of lhs = 2:
% 2.77/2.98 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 #174: exists( #37, #172 ), references = 1, size of lhs = 0:
% 2.77/2.98 FALSE | FALSE
% 2.77/2.98 (used 0 times, uses = {})
% 2.77/2.98
% 2.77/2.98 number of learnt formulas = 10
% 2.77/2.98
% 2.77/2.98
% 2.77/2.98 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/2.98
% 2.77/2.98 randbase = 1
%------------------------------------------------------------------------------