TSTP Solution File: BOO014-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 8.58s 8.80s
% Output : Refutation 8.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 08:45:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.58/8.80 GeoParameters:
% 8.58/8.80
% 8.58/8.80 tptp_input = 1
% 8.58/8.80 tptp_output = 0
% 8.58/8.80 nonempty = 1
% 8.58/8.80 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/8.80 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.58/8.80
% 8.58/8.80
% 8.58/8.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/8.80 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/8.80
% 8.58/8.80 RuleSystem INPUT:
% 8.58/8.80
% 8.58/8.80 Initial Rules:
% 8.58/8.80 #0: input, references = 5, size of lhs = 3:
% 8.58/8.80 P_add-{F}(V0,V1,V2), P_add-{F}(V1,V0,V3), V2 == V3 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #1: input, references = 5, size of lhs = 3:
% 8.58/8.80 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V1,V0,V3), V2 == V3 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #2: input, references = 5, size of lhs = 6:
% 8.58/8.80 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
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #3: input, references = 7, size of lhs = 6:
% 8.58/8.80 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
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #4: input, references = 4, size of lhs = 3:
% 8.58/8.80 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #5: input, references = 4, size of lhs = 4:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V2,V1,V3), V3 == V2 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #6: input, references = 4, size of lhs = 5:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_add-{F}(V2,V3,V4), V4 == V1 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #7: input, references = 4, size of lhs = 5:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), V4 == V0 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #8: input, references = 6, size of lhs = 9:
% 8.58/8.80 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_inverse-{F}(V4,V8), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_multiply-{F}(V6,V7,V8) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #9: input, references = 9, size of lhs = 2:
% 8.58/8.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #10: input, references = 10, size of lhs = 2:
% 8.58/8.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #11: input, references = 4, size of lhs = 0:
% 8.58/8.80 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #12: input, references = 4, size of lhs = 0:
% 8.58/8.80 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #13: input, references = 11, size of lhs = 1:
% 8.58/8.80 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #14: input, references = 4, size of lhs = 0:
% 8.58/8.80 FALSE | EXISTS V0: P_a-{T}(V0)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #15: input, references = 5, size of lhs = 0:
% 8.58/8.80 FALSE | EXISTS V0: P_b-{T}(V0)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 number of initial rules = 16
% 8.58/8.80
% 8.58/8.80 Simplifiers:
% 8.58/8.80 #16: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #17: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #18: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #19: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #20: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #21: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #22: unsound, references = 3, size of lhs = 3:
% 8.58/8.80 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 number of simplifiers = 7
% 8.58/8.80
% 8.58/8.80 Learnt:
% 8.58/8.80 #24: exists( #9, #6 ), references = 7, size of lhs = 3:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_add-{T}(V2,V3,V1)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #26: exists( #10, #7 ), references = 7, size of lhs = 3:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_multiply-{T}(V2,V3,V0)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #28: exists( #9, #4 ), references = 8, size of lhs = 2:
% 8.58/8.80 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #35: mergings( V0 == V2; #33 ), references = 2, size of lhs = 2:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #38: exists( #9, #0 ), references = 8, size of lhs = 1:
% 8.58/8.80 P_add-{F}(V0,V1,V2) | P_add-{T}(V1,V0,V2)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #40: exists( #10, #5 ), references = 9, size of lhs = 3:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V2,V1,V2)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #48: mergings( V2 == V4, V3 == V0; #44 ), references = 1, size of lhs = 2:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #50: exists( #10, #1 ), references = 15, size of lhs = 1:
% 8.58/8.80 P_multiply-{F}(V0,V1,V2) | P_multiply-{T}(V1,V0,V2)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #53: exists( #9, #3 ), references = 3, size of lhs = 4:
% 8.58/8.80 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)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #56: exists( #10, #54 ), references = 8, size of lhs = 4:
% 8.58/8.80 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)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #59: exists( #9, #57 ), references = 6, size of lhs = 5:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_add-{F}(V2,V3,V1), P_multiply-{F}(V4,V3,V5), P_add-{F}(V2,V5,V6) | P_add-{T}(V2,V4,V6)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #75: mergings( V2 == V5, V5 == V6, V6 == V8, V3 == V4, V4 == V7, V7 == V9; #68 ), references = 2, size of lhs = 10:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V2,V4), P_add-{F}(V2,V4,V1), P_add-{F}(V4,V3,V3), P_multiply-{F}(V4,V1,V5), P_add-{F}(V2,V5,V6), P_inverse-{F}(V6,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #86: mergings( V1 == V2, V2 == V5, V5 == V6, V6 == V8, V3 == V4, V4 == V7, V7 == V9; #78 ), references = 1, size of lhs = 8:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V0), P_add-{F}(V2,V0,V1), P_multiply-{F}(V0,V1,V3), P_add-{F}(V2,V3,V4), P_inverse-{F}(V4,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #91: mergings( V2 == V4, V3 == V5; #88 ), references = 1, size of lhs = 6:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V1), P_add-{F}(V2,V3,V2) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #100: mergings( V2 == V3, V3 == V4, V4 == V6; #96 ), references = 1, size of lhs = 6:
% 8.58/8.80 P_b-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V0,V2,V2) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #136: exists( #10, #2 ), references = 3, size of lhs = 4:
% 8.58/8.80 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)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #137: exists( #10, #3 ), references = 2, size of lhs = 4:
% 8.58/8.80 P_add-{F}(V0,V1,V2), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V3,V1,V5), P_add-{F}(V4,V5,V6) | P_multiply-{T}(V3,V2,V6)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #159: mergings( V2 == V3, V3 == V6, V6 == V8, V4 == V5, V5 == V7; #153 ), references = 1, size of lhs = 8:
% 8.58/8.80 P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_add-{F}(V2,V3,V0), P_add-{F}(V4,V3,V0), P_multiply-{F}(V2,V0,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V4,V6,V1), P_multiply-{F}(V4,V5,V7) | P_inverse-{T}(V3,V7)
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #170: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V10, V5 == V6, V6 == V8, V8 == V11; #162 ), references = 2, size of lhs = 12:
% 8.58/8.80 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_add-{F}(V5,V4,V1), P_multiply-{F}(V5,V1,V6), P_inverse-{F}(V2,V6), P_multiply-{F}(V5,V4,V7), P_inverse-{F}(V3,V8), P_add-{F}(V8,V4,V1), P_multiply-{F}(V8,V7,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #224: mergings( V3 == V4, V4 == V5; #221 ), references = 1, size of lhs = 17:
% 8.58/8.80 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_add-{F}(V5,V4,V1), P_multiply-{F}(V5,V1,V6), P_inverse-{F}(V2,V6), P_inverse-{F}(V3,V7), P_add-{F}(V7,V4,V1), P_multiply-{F}(V5,V8,V0), P_add-{F}(V8,V9,V4), P_multiply-{F}(V7,V10,V0), P_multiply-{F}(V9,V11,V10), P_add-{F}(V5,V11,V12), P_multiply-{F}(V9,V12,V13), P_multiply-{F}(V7,V13,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #238: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V4 == V6, V6 == V10; #231 ), references = 1, size of lhs = 21:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V2,V4), P_multiply-{F}(V5,V1,V4), P_multiply-{F}(V5,V2,V0), P_inverse-{F}(V3,V6), P_add-{F}(V6,V3,V1), P_multiply-{F}(V3,V1,V7), P_multiply-{F}(V6,V7,V0), P_add-{F}(V3,V8,V3), P_multiply-{F}(V8,V2,V9), P_add-{F}(V3,V9,V10), P_add-{F}(V6,V10,V1), P_multiply-{F}(V6,V10,V0), P_add-{F}(V5,V11,V1), P_add-{F}(V2,V12,V11), P_multiply-{F}(V3,V12,V13), P_add-{F}(V2,V13,V14), P_add-{F}(V5,V14,V1) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #260: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V3 == V5, V5 == V10, V10 == V13, V12 == V21; #248 ), references = 1, size of lhs = 16:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V1,V3), P_inverse-{F}(V2,V4), P_multiply-{F}(V5,V1,V4), P_multiply-{F}(V5,V2,V0), P_add-{F}(V3,V6,V3), P_multiply-{F}(V6,V2,V7), P_add-{F}(V3,V7,V3), P_multiply-{F}(V8,V1,V0), P_add-{F}(V2,V8,V9), P_add-{F}(V5,V9,V1), P_add-{F}(V2,V0,V10), P_add-{F}(V5,V10,V1) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #286: mergings( V6 == V20, V2 == V4, V4 == V5, V5 == V20, V20 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V3 == V8, V8 == V10, V10 == V17, V16 == V22; #269 ), references = 1, size of lhs = 11:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_add-{F}(V2,V0,V2), P_b-{F}(V3), P_multiply-{F}(V3,V1,V3), P_add-{F}(V3,V0,V3), P_add-{F}(V3,V4,V3), P_multiply-{F}(V4,V1,V0), P_add-{F}(V2,V5,V2), P_multiply-{F}(V5,V1,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #307: mergings( V7 == V1, V2 == V3, V3 == V5, V5 == V6, V6 == V1, V1 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V4 == V9, V9 == V11, V11 == V18, V17 == V21; #289 ), references = 1, size of lhs = 7:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V0), P_a-{F}(V2), P_add-{F}(V2,V0,V2), P_add-{F}(V2,V3,V2), P_multiply-{F}(V3,V1,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #327: mergings( V8 == V2, V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V2, V2 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V5 == V10, V10 == V12, V12 == V19; #309 ), references = 1, size of lhs = 3:
% 8.58/8.80 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #342: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #330 ), references = 1, size of lhs = 1:
% 8.58/8.80 P_additive_identity-{F}(V0) | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 #344: exists( #11, #330 ), references = 1, size of lhs = 0:
% 8.58/8.80 FALSE | FALSE
% 8.58/8.80 (used 0 times, uses = {})
% 8.58/8.80
% 8.58/8.80 number of learnt formulas = 27
% 8.58/8.80
% 8.58/8.80
% 8.58/8.80 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/8.80
% 8.58/8.80 randbase = 1
%------------------------------------------------------------------------------