TSTP Solution File: KLE040+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE040+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:07:00 EDT 2022
% Result : Theorem 31.48s 31.64s
% Output : Refutation 31.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE040+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 16:55:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 31.48/31.64 GeoParameters:
% 31.48/31.64
% 31.48/31.64 tptp_input = 1
% 31.48/31.64 tptp_output = 0
% 31.48/31.64 nonempty = 1
% 31.48/31.64 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.48/31.64 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 31.48/31.64
% 31.48/31.64
% 31.48/31.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.48/31.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.48/31.64
% 31.48/31.64 RuleSystem INPUT:
% 31.48/31.64
% 31.48/31.64 Initial Rules:
% 31.48/31.64 #0: input, references = 4, size of lhs = 3:
% 31.48/31.64 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #1: input, references = 5, size of lhs = 5:
% 31.48/31.64 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
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #2: input, references = 4, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #3: input, references = 4, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #4: input, references = 5, size of lhs = 6:
% 31.48/31.64 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
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #5: input, references = 4, size of lhs = 4:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #6: input, references = 4, size of lhs = 4:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #7: input, references = 8, size of lhs = 8:
% 31.48/31.64 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
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #8: input, references = 5, size of lhs = 8:
% 31.48/31.64 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
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #9: input, references = 4, size of lhs = 4:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #10: input, references = 4, size of lhs = 4:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #11: input, references = 14, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #12: input, references = 4, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #13: input, references = 10, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V4,V5) | leq-{T}(V5,V3)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #14: input, references = 4, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | leq-{T}(V5,V3)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #15: input, references = 6, size of lhs = 7:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V7,V4,V8), leq-{F}(V6,V3) | leq-{T}(V8,V3)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #16: input, references = 4, size of lhs = 7:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V3,V7), P_multiplication-{F}(V4,V7,V8), leq-{F}(V6,V2) | leq-{T}(V8,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #17: input, references = 4, size of lhs = 2:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #18: input, references = 5, size of lhs = 3:
% 31.48/31.64 pppp0-{F}(V0), P_star-{F}(V0,V1), P_multiplication-{F}(V1,V1,V1) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #19: input, references = 15, size of lhs = 2:
% 31.48/31.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #20: input, references = 4, size of lhs = 0:
% 31.48/31.64 FALSE | EXISTS V0: P_zero-{T}(V0)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #21: input, references = 24, size of lhs = 2:
% 31.48/31.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #22: input, references = 4, size of lhs = 0:
% 31.48/31.64 FALSE | EXISTS V0: P_one-{T}(V0)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #23: input, references = 6, size of lhs = 1:
% 31.48/31.64 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 number of initial rules = 24
% 31.48/31.64
% 31.48/31.64 Simplifiers:
% 31.48/31.64 #24: unsound, references = 3, size of lhs = 3:
% 31.48/31.64 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #25: unsound, references = 3, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #26: unsound, references = 3, size of lhs = 3:
% 31.48/31.64 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #27: unsound, references = 3, size of lhs = 3:
% 31.48/31.64 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #28: unsound, references = 3, size of lhs = 3:
% 31.48/31.64 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #29: unsound, references = 3, size of lhs = 3:
% 31.48/31.64 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 number of simplifiers = 6
% 31.48/31.64
% 31.48/31.64 Learnt:
% 31.48/31.64 #31: exists( #19, #3 ), references = 3, size of lhs = 2:
% 31.48/31.64 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #34: exists( #21, #5 ), references = 6, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #35: exists( #21, #6 ), references = 6, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #38: exists( #21, #9 ), references = 1, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #39: exists( #21, #10 ), references = 2, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #41: exists( #19, #2 ), references = 7, size of lhs = 2:
% 31.48/31.64 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #45: exists( #19, #0 ), references = 20, size of lhs = 1:
% 31.48/31.64 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #50: exists( #19, #11 ), references = 3, size of lhs = 3:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #96: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12; #85 ), references = 1, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V1,V2), P_addition-{F}(V2,V1,V3), leq-{F}(V3,V1) | P_star-{T}(V1,V1)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #123: exists( #19, #7 ), references = 13, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_multiplication-{F}(V5,V3,V8) | P_addition-{T}(V7,V8,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #124: exists( #19, #8 ), references = 8, size of lhs = 6:
% 31.48/31.64 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)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #126: exists( #21, #4 ), references = 1, size of lhs = 4:
% 31.48/31.64 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)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #129: exists( #19, #1 ), references = 11, size of lhs = 3:
% 31.48/31.64 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #146: exists( #21, #7 ), references = 1, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V5,V4,V8)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #149: exists( #21, #4 ), references = 1, size of lhs = 4:
% 31.48/31.64 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)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #162: mergings( V3 == V4, V0 == V5; #158 ), references = 2, size of lhs = 7:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5), P_addition-{F}(V2,V4,V6), V6 == V4 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #167: mergings( V3 == V5, V4 == V6; #164 ), references = 2, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5) | P_addition-{T}(V4,V2,V4)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #183: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #174 ), references = 1, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V1,V3) | P_multiplication-{T}(V2,V3,V3)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #198: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #189 ), references = 1, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V0,V2,V3), P_addition-{F}(V3,V1,V4), leq-{F}(V4,V2) | P_star-{T}(V0,V2)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #203: mergings( V3 == V4; #201 ), references = 1, size of lhs = 5:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V2,V5,V6) | P_multiplication-{T}(V2,V4,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #209: exists( #21, #162 ), references = 3, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #218: exists( #19, #216 ), references = 2, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V2,V3,V4), P_addition-{F}(V3,V5,V6), P_star-{F}(V7,V6) | P_addition-{T}(V4,V5,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #224: exists( #21, #8 ), references = 1, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V5,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V4,V5,V8)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #243: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #236 ), references = 1, size of lhs = 11:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V4,V5,V4), P_multiplication-{F}(V6,V4,V3), P_addition-{F}(V7,V6,V8), P_multiplication-{F}(V7,V4,V9), P_addition-{F}(V2,V9,V10), P_multiplication-{F}(V8,V5,V11), P_star-{F}(V12,V11), P_multiplication-{F}(V12,V11,V10) | P_multiplication-{T}(V8,V4,V11)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #256: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #247 ), references = 1, size of lhs = 12:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V4,V3), P_star-{F}(V5,V3), P_addition-{F}(V5,V6,V3), P_multiplication-{F}(V6,V3,V7), P_addition-{F}(V3,V8,V3), P_multiplication-{F}(V5,V8,V9), P_addition-{F}(V1,V9,V7) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #279: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #272 ), references = 1, size of lhs = 8:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V3,V4,V4), P_multiplication-{F}(V4,V5,V2), P_star-{F}(V4,V6), P_addition-{F}(V6,V5,V6), P_multiplication-{F}(V3,V6,V6) | P_multiplication-{T}(V4,V6,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #300: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #293 ), references = 1, size of lhs = 8:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V5,V3,V2), P_star-{F}(V3,V6), P_addition-{F}(V6,V5,V6), P_multiplication-{F}(V6,V4,V6) | P_multiplication-{T}(V6,V3,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #313: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #308 ), references = 2, size of lhs = 8:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V5,V4), P_multiplication-{F}(V3,V5,V6), P_multiplication-{F}(V2,V6,V7), P_addition-{F}(V7,V4,V8), leq-{F}(V8,V6) | P_multiplication-{T}(V3,V4,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #364: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #358 ), references = 1, size of lhs = 8:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V7,V5,V8), leq-{F}(V8,V6) | P_multiplication-{T}(V5,V3,V6)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #367: mergings( V3 == V5, V4 == V6; #359 ), references = 1, size of lhs = 7:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V6,V5,V7), P_multiplication-{F}(V6,V4,V8), P_multiplication-{F}(V6,V2,V8) | P_multiplication-{T}(V6,V3,V7)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #430: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #423 ), references = 1, size of lhs = 11:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V1,V5,V6), P_multiplication-{F}(V7,V3,V6), P_addition-{F}(V7,V2,V8), P_multiplication-{F}(V8,V3,V9), P_addition-{F}(V9,V3,V10), V10 == V3 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #454: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #445 ), references = 3, size of lhs = 18:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_star-{F}(V10,V11), P_multiplication-{F}(V10,V11,V9), P_addition-{F}(V12,V13,V7), P_multiplication-{F}(V4,V12,V14), P_multiplication-{F}(V4,V13,V15), P_addition-{F}(V11,V14,V16), P_multiplication-{F}(V17,V18,V15), P_multiplication-{F}(V19,V18,V16), P_addition-{F}(V17,V19,V20), P_multiplication-{F}(V20,V18,V21), V21 == V11 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #468: exists( #19, #209 ), references = 1, size of lhs = 4:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #474: mergings( V6 == V12, V8 == V13; #471 ), references = 2, size of lhs = 14:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V2,V7,V8), P_star-{F}(V9,V10), P_multiplication-{F}(V9,V10,V8), P_addition-{F}(V10,V3,V11), P_multiplication-{F}(V12,V13,V7), P_multiplication-{F}(V14,V13,V11), P_addition-{F}(V12,V14,V15), P_multiplication-{F}(V15,V13,V16), V16 == V10 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #494: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #483 ), references = 1, size of lhs = 15:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_star-{F}(V4,V5), P_addition-{F}(V5,V2,V6), P_multiplication-{F}(V7,V1,V6), P_addition-{F}(V8,V5,V5), P_multiplication-{F}(V4,V8,V9), P_addition-{F}(V7,V9,V10), P_multiplication-{F}(V11,V5,V10), P_addition-{F}(V11,V4,V12), P_multiplication-{F}(V12,V5,V13), P_multiplication-{F}(V13,V1,V14), V14 == V5 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #500: exists( #21, #474 ), references = 3, size of lhs = 12:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V2,V7,V8), P_star-{F}(V9,V10), P_multiplication-{F}(V9,V10,V8), P_addition-{F}(V10,V3,V11), P_multiplication-{F}(V12,V13,V7), P_multiplication-{F}(V14,V13,V11), P_addition-{F}(V12,V14,V15) | P_multiplication-{T}(V15,V13,V10)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #501: exists( #21, #454 ), references = 1, size of lhs = 16:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_star-{F}(V10,V11), P_multiplication-{F}(V10,V11,V9), P_addition-{F}(V12,V13,V7), P_multiplication-{F}(V4,V12,V14), P_multiplication-{F}(V4,V13,V15), P_addition-{F}(V11,V14,V16), P_multiplication-{F}(V17,V18,V15), P_multiplication-{F}(V19,V18,V16), P_addition-{F}(V17,V19,V20) | P_multiplication-{T}(V20,V18,V11)
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #527: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #521 ), references = 1, size of lhs = 12:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_star-{F}(V4,V5), P_addition-{F}(V5,V2,V6), P_addition-{F}(V7,V5,V5), P_multiplication-{F}(V8,V5,V6), P_addition-{F}(V4,V8,V9), P_multiplication-{F}(V9,V7,V10), P_addition-{F}(V10,V5,V11), V5 == V11 | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #546: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #538 ), references = 1, size of lhs = 15:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), leq-{F}(V3,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V4,V3), P_addition-{F}(V1,V0,V5), P_multiplication-{F}(V1,V6,V5), P_star-{F}(V7,V3), P_addition-{F}(V3,V5,V8), P_multiplication-{F}(V9,V3,V8), P_addition-{F}(V7,V9,V10), P_multiplication-{F}(V11,V3,V3), P_addition-{F}(V7,V11,V10) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #557: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V17 == V13, V5 == V7, V7 == V9, V9 == V11; #548 ), references = 1, size of lhs = 12:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), leq-{F}(V3,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V4,V3), P_addition-{F}(V1,V0,V5), P_addition-{F}(V3,V5,V3), P_multiplication-{F}(V1,V6,V5), P_star-{F}(V7,V3), P_multiplication-{F}(V8,V3,V3) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #584: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V5 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21; #566 ), references = 1, size of lhs = 7:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V2,V0,V1), pppp0-{F}(V3), P_multiplication-{F}(V1,V4,V1) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #605: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22; #585 ), references = 1, size of lhs = 6:
% 31.48/31.64 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V2,V0,V1), P_multiplication-{F}(V1,V3,V1) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #622: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #609 ), references = 1, size of lhs = 1:
% 31.48/31.64 P_zero-{F}(V0) | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 #624: exists( #20, #609 ), references = 1, size of lhs = 0:
% 31.48/31.64 FALSE | FALSE
% 31.48/31.64 (used 0 times, uses = {})
% 31.48/31.64
% 31.48/31.64 number of learnt formulas = 44
% 31.48/31.64
% 31.48/31.64
% 31.48/31.64 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.48/31.64
% 31.48/31.64 randbase = 1
%------------------------------------------------------------------------------