TSTP Solution File: KLE066+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE066+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:07:03 EDT 2022
% Result : Theorem 2.56s 2.79s
% Output : Refutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KLE066+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 16:49:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.56/2.79 GeoParameters:
% 2.56/2.79
% 2.56/2.79 tptp_input = 1
% 2.56/2.79 tptp_output = 0
% 2.56/2.79 nonempty = 1
% 2.56/2.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/2.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.56/2.79
% 2.56/2.79
% 2.56/2.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/2.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/2.79
% 2.56/2.79 RuleSystem INPUT:
% 2.56/2.79
% 2.56/2.79 Initial Rules:
% 2.56/2.79 #0: input, references = 5, size of lhs = 3:
% 2.56/2.79 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #1: input, references = 4, size of lhs = 5:
% 2.56/2.79 P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #2: input, references = 3, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #3: input, references = 4, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #4: input, references = 5, size of lhs = 6:
% 2.56/2.79 P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #5: input, references = 4, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #6: input, references = 4, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #7: input, references = 3, size of lhs = 8:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #8: input, references = 4, size of lhs = 8:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #9: input, references = 4, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #10: input, references = 4, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #11: input, references = 3, size of lhs = 5:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #12: input, references = 3, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #13: input, references = 5, size of lhs = 6:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #14: input, references = 5, size of lhs = 8:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_multiplication-{F}(V2,V6,V7), P_domain-{F}(V7,V8), V5 == V8 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #15: input, references = 4, size of lhs = 5:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #16: input, references = 4, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #17: input, references = 3, size of lhs = 9:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_domain-{F}(V3,V7), P_domain-{F}(V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #18: input, references = 4, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp1-{T}(V0,V3)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #19: input, references = 5, size of lhs = 1:
% 2.56/2.79 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V1,V2,V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #20: input, references = 6, size of lhs = 4:
% 2.56/2.79 pppp0-{F}(V0,V1,V2), P_domain-{F}(V1,V3), P_multiplication-{F}(V0,V3,V4), P_multiplication-{F}(V0,V1,V2) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #21: input, references = 5, size of lhs = 5:
% 2.56/2.79 pppp0-{F}(V0,V1,V2), P_domain-{F}(V1,V3), P_multiplication-{F}(V0,V3,V4), P_multiplication-{F}(V0,V1,V5), V4 == V2 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #22: input, references = 8, size of lhs = 2:
% 2.56/2.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #23: input, references = 4, size of lhs = 0:
% 2.56/2.79 FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #24: input, references = 11, size of lhs = 2:
% 2.56/2.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #25: input, references = 4, size of lhs = 0:
% 2.56/2.79 FALSE | EXISTS V0: P_one-{T}(V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #26: input, references = 9, size of lhs = 1:
% 2.56/2.79 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 number of initial rules = 27
% 2.56/2.79
% 2.56/2.79 Simplifiers:
% 2.56/2.79 #27: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #28: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #29: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #30: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #31: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #32: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #33: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V2), V0 == V3 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #34: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #35: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #36: unsound, references = 3, size of lhs = 3:
% 2.56/2.79 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 number of simplifiers = 10
% 2.56/2.79
% 2.56/2.79 Learnt:
% 2.56/2.79 #38: exists( #22, #3 ), references = 1, size of lhs = 2:
% 2.56/2.79 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #41: exists( #24, #5 ), references = 2, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #42: exists( #24, #6 ), references = 2, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #44: exists( #22, #13 ), references = 2, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V2,V4,V4)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #47: exists( #26, #16 ), references = 1, size of lhs = 2:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #52: exists( #22, #15 ), references = 2, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #53: exists( #22, #0 ), references = 2, size of lhs = 1:
% 2.56/2.79 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #61: mergings( V2 == V3, V3 == V4, V0 == V5; #57 ), references = 1, size of lhs = 2:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #64: exists( #24, #10 ), references = 5, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #65: exists( #24, #21 ), references = 1, size of lhs = 2:
% 2.56/2.79 P_domain-{F}(V0,V0), pppp0-{F}(V1,V0,V2) | P_multiplication-{T}(V1,V0,V2)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #68: exists( #26, #66 ), references = 1, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V0,V2,V3), P_multiplication-{F}(V0,V2,V3) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #72: mergings( V2 == V3; #70 ), references = 1, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), pppp1-{F}(V0,V0), P_one-{F}(V1) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #75: exists( #22, #8 ), references = 2, size of lhs = 6:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V2,V5,V7), P_multiplication-{F}(V3,V5,V8) | P_addition-{T}(V7,V8,V6)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #78: exists( #24, #9 ), references = 1, size of lhs = 3:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #80: exists( #26, #14 ), references = 2, size of lhs = 6:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V3,V6), P_domain-{F}(V6,V7) | P_domain-{T}(V5,V7)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #82: exists( #22, #1 ), references = 1, size of lhs = 3:
% 2.56/2.79 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #84: exists( #24, #21 ), references = 2, size of lhs = 4:
% 2.56/2.79 P_domain-{F}(V0,V1), pppp0-{F}(V2,V0,V3), P_multiplication-{F}(V2,V1,V4), V4 == V3 | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #90: exists( #26, #14 ), references = 1, size of lhs = 6:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V3,V7) | P_domain-{T}(V7,V6)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #92: exists( #24, #4 ), references = 1, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V4,V1,V6) | P_multiplication-{T}(V6,V2,V5)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #95: exists( #24, #4 ), references = 1, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #99: exists( #24, #84 ), references = 1, size of lhs = 2:
% 2.56/2.79 P_domain-{F}(V0,V1), pppp0-{F}(V2,V0,V3) | P_multiplication-{T}(V2,V1,V3)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #100: exists( #24, #20 ), references = 1, size of lhs = 3:
% 2.56/2.79 P_domain-{F}(V0,V1), pppp0-{F}(V2,V0,V3), P_multiplication-{F}(V2,V0,V3) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #111: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #104 ), references = 1, size of lhs = 7:
% 2.56/2.79 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V0), P_addition-{F}(V6,V5,V6), P_multiplication-{F}(V6,V4,V2) | P_multiplication-{T}(V6,V3,V0)
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #125: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9, V10 == V8; #116 ), references = 1, size of lhs = 6:
% 2.56/2.79 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V4), pppp0-{F}(V4,V3,V0) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #144: mergings( V0 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #135 ), references = 1, size of lhs = 5:
% 2.56/2.79 P_zero-{F}(V0), P_domain-{F}(V0,V0), pppp1-{F}(V0,V1), P_addition-{F}(V1,V0,V1), P_one-{F}(V2) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #169: mergings( V4 == V7, V7 == V0, V0 == V11, V11 == V13, V13 == V15, V1 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V15 == V2; #153 ), references = 1, size of lhs = 4:
% 2.56/2.79 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #182: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #174 ), references = 1, size of lhs = 1:
% 2.56/2.79 P_zero-{F}(V0) | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 #185: exists( #23, #174 ), references = 1, size of lhs = 0:
% 2.56/2.79 FALSE | FALSE
% 2.56/2.79 (used 0 times, uses = {})
% 2.56/2.79
% 2.56/2.79 number of learnt formulas = 28
% 2.56/2.79
% 2.56/2.79
% 2.56/2.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/2.79
% 2.56/2.79 randbase = 1
%------------------------------------------------------------------------------