TSTP Solution File: BOO017-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO017-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 1.14s 1.35s
% Output : Refutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n005.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 08:39:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.14/1.35 GeoParameters:
% 1.14/1.35
% 1.14/1.35 tptp_input = 1
% 1.14/1.35 tptp_output = 0
% 1.14/1.35 nonempty = 1
% 1.14/1.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.14/1.35
% 1.14/1.35
% 1.14/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.35
% 1.14/1.35 RuleSystem INPUT:
% 1.14/1.35
% 1.14/1.35 Initial Rules:
% 1.14/1.35 #0: input, references = 5, size of lhs = 1:
% 1.14/1.35 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #1: input, references = 6, size of lhs = 1:
% 1.14/1.35 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #2: input, references = 5, size of lhs = 1:
% 1.14/1.35 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #3: input, references = 6, size of lhs = 1:
% 1.14/1.35 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #4: input, references = 5, size of lhs = 2:
% 1.14/1.35 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #5: input, references = 7, size of lhs = 2:
% 1.14/1.35 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #6: input, references = 4, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #7: input, references = 4, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #8: input, references = 4, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #9: input, references = 5, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #10: input, references = 4, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #11: input, references = 3, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #12: input, references = 5, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #13: input, references = 3, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #14: input, references = 3, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #15: input, references = 5, size of lhs = 6:
% 1.14/1.35 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)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #16: input, references = 4, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #17: input, references = 3, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #18: input, references = 6, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #19: input, references = 3, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #20: input, references = 7, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #21: input, references = 6, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #22: input, references = 6, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | sum-{T}(V2,V3,V4)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #23: input, references = 5, size of lhs = 6:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), product-{F}(V2,V4,V2) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #24: input, references = 4, size of lhs = 2:
% 1.14/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #25: input, references = 4, size of lhs = 2:
% 1.14/1.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #26: input, references = 4, size of lhs = 0:
% 1.14/1.35 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #27: input, references = 4, size of lhs = 0:
% 1.14/1.35 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #28: input, references = 6, size of lhs = 1:
% 1.14/1.35 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #29: input, references = 4, size of lhs = 0:
% 1.14/1.35 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #30: input, references = 5, size of lhs = 0:
% 1.14/1.35 FALSE | EXISTS V0: P_y-{T}(V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #31: input, references = 6, size of lhs = 0:
% 1.14/1.35 FALSE | EXISTS V0: P_z-{T}(V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 number of initial rules = 32
% 1.14/1.35
% 1.14/1.35 Simplifiers:
% 1.14/1.35 #32: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #33: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #34: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #35: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #36: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #37: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #38: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #39: unsound, references = 3, size of lhs = 3:
% 1.14/1.35 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 number of simplifiers = 8
% 1.14/1.35
% 1.14/1.35 Learnt:
% 1.14/1.35 #44: mergings( V1 == V5, V2 == V6; #41 ), references = 1, size of lhs = 5:
% 1.14/1.35 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V1,V4) | P_z-{T}(V4)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #62: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #55 ), references = 1, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), V4 == V0 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #68: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #56 ), references = 1, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3), sum-{F}(V0,V3,V4), V0 == V4 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #85: mergings( V1 == V5, V5 == V7, V2 == V6, V6 == V8, V3 == V9, V4 == V10; #78 ), references = 2, size of lhs = 7:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), sum-{F}(V2,V4,V2), product-{F}(V3,V4,V5), sum-{F}(V2,V5,V2) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #106: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #101 ), references = 2, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), product-{F}(V4,V3,V5), sum-{F}(V2,V5,V6) | P_add-{T}(V2,V4,V6)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #119: mergings( V2 == V4, V4 == V5, V5 == V7, V3 == V6, V6 == V8; #113 ), references = 1, size of lhs = 4:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V1,V3), V3 == V1 | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #130: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V9, V2 == V3, V3 == V8, V8 == V10; #122 ), references = 1, size of lhs = 4:
% 1.14/1.35 P_x-{F}(V0), P_multiplicative_identity-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2) | P_z-{T}(V0)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #143: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V2 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V12; #132 ), references = 1, size of lhs = 4:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V1), product-{F}(V1,V1,V1) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #164: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #158 ), references = 2, size of lhs = 7:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V2), sum-{F}(V4,V3,V4), product-{F}(V4,V5,V3), sum-{F}(V2,V5,V6), product-{F}(V4,V6,V7) | P_multiply-{T}(V4,V2,V7)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #169: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #159 ), references = 1, size of lhs = 7:
% 1.14/1.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V2), sum-{F}(V4,V3,V4), product-{F}(V4,V5,V3), sum-{F}(V2,V5,V6), product-{F}(V4,V6,V7) | P_multiply-{T}(V4,V2,V7)
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #195: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #189 ), references = 1, size of lhs = 7:
% 1.14/1.35 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), sum-{F}(V2,V0,V2), P_y-{F}(V3), sum-{F}(V3,V0,V3) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #203: mergings( V1 == V2, V2 == V4, V4 == V6, V3 == V5, V5 == V7; #197 ), references = 2, size of lhs = 5:
% 1.14/1.35 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), sum-{F}(V2,V0,V2) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #206: exists( #29, #204 ), references = 1, size of lhs = 3:
% 1.14/1.35 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #208: exists( #27, #205 ), references = 1, size of lhs = 2:
% 1.14/1.35 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 #211: exists( #26, #209 ), references = 1, size of lhs = 0:
% 1.14/1.35 FALSE | FALSE
% 1.14/1.35 (used 0 times, uses = {})
% 1.14/1.35
% 1.14/1.35 number of learnt formulas = 15
% 1.14/1.35
% 1.14/1.35
% 1.14/1.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/1.35
% 1.14/1.35 randbase = 1
%------------------------------------------------------------------------------