TSTP Solution File: BOO016-2 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 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 05:58:39 EDT 2022
% Result : Unsatisfiable 0.92s 1.13s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % 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 08:50:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.92/1.13 GeoParameters:
% 0.92/1.13
% 0.92/1.13 tptp_input = 1
% 0.92/1.13 tptp_output = 0
% 0.92/1.13 nonempty = 1
% 0.92/1.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.92/1.13
% 0.92/1.13
% 0.92/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.13
% 0.92/1.13 RuleSystem INPUT:
% 0.92/1.13
% 0.92/1.13 Initial Rules:
% 0.92/1.13 #0: input, references = 4, size of lhs = 3:
% 0.92/1.13 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #1: input, references = 7, size of lhs = 3:
% 0.92/1.13 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #2: input, references = 4, size of lhs = 6:
% 0.92/1.13 P_multiply-{F}(V0,V1,V3), P_add-{F}(V3,V2,V4), P_add-{F}(V0,V2,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #3: input, references = 5, size of lhs = 6:
% 0.92/1.13 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
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #4: input, references = 4, size of lhs = 6:
% 0.92/1.13 P_add-{F}(V0,V1,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V0,V2,V5), P_multiply-{F}(V1,V2,V6), P_add-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #5: input, references = 5, size of lhs = 6:
% 0.92/1.13 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
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #6: input, references = 4, size of lhs = 4:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #7: input, references = 4, size of lhs = 4:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #8: input, references = 4, size of lhs = 5:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #9: input, references = 4, size of lhs = 5:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V3,V2,V4), V4 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #10: input, references = 5, size of lhs = 4:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), V3 == V2 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #11: input, references = 4, size of lhs = 4:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V0,V2,V3), V3 == V2 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #12: input, references = 4, size of lhs = 4:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #13: input, references = 3, size of lhs = 4:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V1,V2,V3), V3 == V2 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #14: input, references = 5, size of lhs = 7:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_multiply-{F}(V2,V3,V4), P_z-{F}(V5), V4 == V5 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #15: input, references = 5, size of lhs = 7:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_multiply-{F}(V2,V3,V4), P_z-{F}(V5), P_add-{F}(V2,V5,V2) | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #16: input, references = 8, size of lhs = 2:
% 0.92/1.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #17: input, references = 7, size of lhs = 2:
% 0.92/1.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #18: input, references = 11, size of lhs = 1:
% 0.92/1.13 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #19: input, references = 4, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #20: input, references = 4, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #21: input, references = 4, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_x-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #22: input, references = 6, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_y-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #23: input, references = 8, size of lhs = 0:
% 0.92/1.13 FALSE | EXISTS V0: P_z-{T}(V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 number of initial rules = 24
% 0.92/1.13
% 0.92/1.13 Simplifiers:
% 0.92/1.13 #24: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #25: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #26: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #27: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #28: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #29: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #30: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #31: unsound, references = 3, size of lhs = 3:
% 0.92/1.13 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 number of simplifiers = 8
% 0.92/1.13
% 0.92/1.13 Learnt:
% 0.92/1.13 #34: exists( #16, #6 ), references = 5, size of lhs = 2:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #35: exists( #16, #7 ), references = 6, size of lhs = 2:
% 0.92/1.13 P_multiplicative_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 0.92/1.13 (used 0 times, uses = {})
% 0.92/1.13
% 0.92/1.13 #37: exists( #16, #12 ), references = 9, size of lhs = 3:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_add-{T}(V2,V1,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #41: exists( #17, #10 ), references = 10, size of lhs = 3:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #42: exists( #17, #15 ), references = 3, size of lhs = 6:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V2,V4,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #43: exists( #17, #14 ), references = 5, size of lhs = 5:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_z-{F}(V4) | P_multiply-{T}(V2,V3,V4)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #45: exists( #23, #14 ), references = 1, size of lhs = 5:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_multiply-{F}(V2,V3,V4) | P_z-{T}(V4)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #49: exists( #16, #5 ), references = 5, size of lhs = 4:
% 0.92/1.14 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)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #54: exists( #17, #3 ), references = 7, size of lhs = 4:
% 0.92/1.14 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)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #69: mergings( V2 == V4, V3 == V5; #65 ), references = 1, size of lhs = 3:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V1,V2) | P_inverse-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #77: exists( #17, #8 ), references = 5, size of lhs = 3:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #78: exists( #17, #9 ), references = 2, size of lhs = 3:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V3,V2,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #93: mergings( V0 == V3, V2 == V4; #88 ), references = 1, size of lhs = 2:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #106: exists( #16, #98 ), references = 5, size of lhs = 5:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_multiply-{F}(V4,V3,V5), P_add-{F}(V2,V5,V6) | P_add-{T}(V2,V4,V6)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #109: mergings( V3 == V5, V4 == V6; #105 ), references = 1, size of lhs = 6:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V0,V1,V2), P_add-{F}(V3,V4,V2), P_multiply-{F}(V5,V4,V6), P_add-{F}(V3,V6,V7) | P_add-{T}(V3,V5,V7)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #115: mergings( V2 == V4, V3 == V5; #112 ), references = 1, size of lhs = 5:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), P_add-{F}(V1,V3,V4), V1 == V4 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #123: mergings( V2 == V4, V3 == V5; #120 ), references = 1, size of lhs = 3:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_multiply-{F}(V1,V2,V2) | P_inverse-{T}(V2,V0)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #150: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V12 == V13, V5 == V7, V7 == V9; #142 ), references = 2, size of lhs = 7:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V5), P_add-{F}(V5,V3,V6), V3 == V6 | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #165: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V2 == V15, V15 == V4, V4 == V10, V10 == V12, V12 == V14; #153 ), references = 1, size of lhs = 6:
% 0.92/1.14 P_x-{F}(V0), P_y-{F}(V1), P_multiplicative_identity-{F}(V2), P_add-{F}(V2,V2,V2), P_additive_identity-{F}(V3), P_multiply-{F}(V0,V2,V3) | P_z-{T}(V3)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #182: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V2 == V14, V12 == V15, V14 == V4, V4 == V9, V9 == V11, V11 == V13, V13 == V16, V5 == V17; #167 ), references = 1, size of lhs = 6:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_multiply-{F}(V2,V0,V1), P_add-{F}(V2,V1,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #190: exists( #23, #186 ), references = 1, size of lhs = 5:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_multiply-{F}(V3,V2,V4) | P_z-{T}(V4)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #193: mergings( V1 == V3, V2 == V5; #189 ), references = 1, size of lhs = 4:
% 0.92/1.14 P_x-{F}(V0), P_multiplicative_identity-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2) | P_z-{T}(V1)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #195: exists( #16, #0 ), references = 4, size of lhs = 1:
% 0.92/1.14 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #235: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V9, V5 == V7, V7 == V8, V8 == V10; #226 ), references = 1, size of lhs = 6:
% 0.92/1.14 P_x-{F}(V0), P_add-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #248: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9; #239 ), references = 1, size of lhs = 5:
% 0.92/1.14 P_x-{F}(V0), P_add-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_y-{F}(V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #261: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V8, V4 == V6, V6 == V7, V7 == V9; #252 ), references = 1, size of lhs = 4:
% 0.92/1.14 P_x-{F}(V0), P_add-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #273: mergings( V1 == V3, V2 == V4; #269 ), references = 2, size of lhs = 7:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_multiply-{F}(V2,V4,V2), P_add-{F}(V4,V3,V5), P_multiply-{F}(V2,V5,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #295: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #286 ), references = 1, size of lhs = 6:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_multiply-{F}(V2,V0,V3), V3 == V0, P_multiply-{F}(V2,V4,V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #299: exists( #17, #1 ), references = 2, size of lhs = 1:
% 0.92/1.14 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #312: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #307 ), references = 1, size of lhs = 5:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_multiply-{F}(V2,V0,V2), P_y-{F}(V3) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #318: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #313 ), references = 1, size of lhs = 4:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), P_multiply-{F}(V2,V0,V2) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #325: mergings( V3 == V5, V1 == V2, V2 == V4, V4 == V6; #320 ), references = 1, size of lhs = 2:
% 0.92/1.14 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #328: mergings( V1 == V2; #326 ), references = 1, size of lhs = 1:
% 0.92/1.14 P_multiplicative_identity-{F}(V0) | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 #330: exists( #19, #326 ), references = 1, size of lhs = 0:
% 0.92/1.14 FALSE | FALSE
% 0.92/1.14 (used 0 times, uses = {})
% 0.92/1.14
% 0.92/1.14 number of learnt formulas = 34
% 0.92/1.14
% 0.92/1.14
% 0.92/1.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.14
% 0.92/1.14 randbase = 1
%------------------------------------------------------------------------------