TSTP Solution File: KLE170+1.002 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE170+1.002 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:07:13 EDT 2022
% Result : Theorem 6.36s 6.54s
% Output : Refutation 6.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE170+1.002 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 16:48:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.36/6.54 GeoParameters:
% 6.36/6.54
% 6.36/6.54 tptp_input = 1
% 6.36/6.54 tptp_output = 0
% 6.36/6.54 nonempty = 1
% 6.36/6.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.36/6.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.36/6.54
% 6.36/6.54
% 6.36/6.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.36/6.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.36/6.54
% 6.36/6.54 RuleSystem INPUT:
% 6.36/6.54
% 6.36/6.54 Initial Rules:
% 6.36/6.54 #0: input, references = 5, size of lhs = 3:
% 6.36/6.54 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #1: input, references = 7, size of lhs = 5:
% 6.36/6.54 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
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #2: input, references = 4, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #3: input, references = 4, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #4: input, references = 4, size of lhs = 6:
% 6.36/6.54 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
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #5: input, references = 4, size of lhs = 4:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #6: input, references = 4, size of lhs = 4:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #7: input, references = 6, size of lhs = 8:
% 6.36/6.54 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
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #8: input, references = 6, size of lhs = 8:
% 6.36/6.54 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
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #9: input, references = 4, size of lhs = 4:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #10: input, references = 4, size of lhs = 4:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #11: input, references = 11, size of lhs = 5:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #12: input, references = 5, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #13: input, references = 14, size of lhs = 5:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #14: input, references = 5, size of lhs = 5:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #15: input, references = 6, size of lhs = 7:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #16: input, references = 4, size of lhs = 7:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #17: input, references = 8, size of lhs = 6:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V2,V4), leq-{F}(V3,V4) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #18: input, references = 13, size of lhs = 2:
% 6.36/6.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #19: input, references = 4, size of lhs = 0:
% 6.36/6.54 FALSE | EXISTS V0: P_zero-{T}(V0)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #20: input, references = 19, size of lhs = 2:
% 6.36/6.54 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #21: input, references = 4, size of lhs = 0:
% 6.36/6.54 FALSE | EXISTS V0: P_one-{T}(V0)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #22: input, references = 8, size of lhs = 1:
% 6.36/6.54 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #23: input, references = 4, size of lhs = 0:
% 6.36/6.54 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 number of initial rules = 24
% 6.36/6.54
% 6.36/6.54 Simplifiers:
% 6.36/6.54 #24: unsound, references = 3, size of lhs = 3:
% 6.36/6.54 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #25: unsound, references = 3, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #26: unsound, references = 3, size of lhs = 3:
% 6.36/6.54 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #27: unsound, references = 3, size of lhs = 3:
% 6.36/6.54 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #28: unsound, references = 3, size of lhs = 3:
% 6.36/6.54 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #29: unsound, references = 3, size of lhs = 3:
% 6.36/6.54 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 number of simplifiers = 6
% 6.36/6.54
% 6.36/6.54 Learnt:
% 6.36/6.54 #31: exists( #20, #5 ), references = 6, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #34: exists( #18, #2 ), references = 4, size of lhs = 2:
% 6.36/6.54 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #37: exists( #18, #3 ), references = 4, size of lhs = 2:
% 6.36/6.54 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #41: exists( #18, #0 ), references = 22, size of lhs = 1:
% 6.36/6.54 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #46: exists( #20, #6 ), references = 5, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #47: exists( #20, #9 ), references = 1, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #55: mergings( V2 == V3, V3 == V5, V4 == V6; #51 ), references = 1, size of lhs = 4:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V0) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #59: exists( #20, #10 ), references = 4, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #62: exists( #18, #11 ), references = 8, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #109: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #96 ), references = 1, size of lhs = 6:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V0,V2,V3), P_addition-{F}(V3,V1,V4), leq-{F}(V4,V2) | P_star-{T}(V0,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #128: mergings( V2 == V3, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #98 ), references = 1, size of lhs = 7:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V0,V2,V3), P_addition-{F}(V3,V1,V4), leq-{F}(V4,V2), P_addition-{F}(V2,V0,V5) | P_star-{T}(V0,V5)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #155: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12; #143 ), references = 1, size of lhs = 5:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #160: exists( #18, #7 ), references = 12, size of lhs = 6:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #161: exists( #18, #8 ), references = 6, size of lhs = 6:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #162: exists( #18, #1 ), references = 15, size of lhs = 3:
% 6.36/6.54 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #172: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #167 ), references = 3, size of lhs = 9:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_star-{F}(V2,V3), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V4,V7), P_addition-{F}(V7,V8,V3), P_addition-{F}(V6,V8,V3) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #182: mergings( V3 == V4, V0 == V5; #179 ), references = 1, size of lhs = 5:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V2), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V1,V4,V2)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #210: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #203 ), references = 1, size of lhs = 12:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_star-{F}(V4,V5), P_multiplication-{F}(V4,V5,V6), P_addition-{F}(V2,V7,V6), P_addition-{F}(V5,V8,V8), P_addition-{F}(V9,V10,V10), P_multiplication-{F}(V11,V10,V3), P_multiplication-{F}(V12,V10,V7), P_addition-{F}(V12,V11,V13), P_multiplication-{F}(V13,V9,V8) | P_multiplication-{T}(V13,V10,V5)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #223: mergings( V3 == V4, V0 == V5; #220 ), references = 1, size of lhs = 7:
% 6.36/6.54 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
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #227: mergings( V3 == V5, V4 == V6; #224 ), references = 1, size of lhs = 6:
% 6.36/6.54 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
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #231: mergings( V3 == V5, V4 == V6; #228 ), references = 5, size of lhs = 4:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #245: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #240 ), references = 1, size of lhs = 7:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_star-{F}(V2,V2), P_addition-{F}(V3,V2,V2), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V4,V4) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #262: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #255 ), references = 4, size of lhs = 8:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V5,V2), P_star-{F}(V3,V6), P_addition-{F}(V6,V5,V6), P_multiplication-{F}(V4,V6,V6) | P_multiplication-{T}(V3,V6,V6)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #281: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #276 ), references = 4, size of lhs = 8:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V3,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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #318: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #310 ), references = 1, size of lhs = 11:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V3,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V1,V5,V6), P_multiplication-{F}(V3,V7,V6), P_addition-{F}(V2,V7,V8), P_multiplication-{F}(V3,V8,V9), P_addition-{F}(V9,V3,V10), V10 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #325: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #311 ), references = 1, size of lhs = 12:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V2,V4), P_star-{F}(V5,V4), P_addition-{F}(V6,V4,V4), P_multiplication-{F}(V6,V5,V7), P_addition-{F}(V1,V7,V8), P_multiplication-{F}(V4,V9,V8), P_addition-{F}(V5,V9,V10), P_multiplication-{F}(V4,V10,V3) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #334: exists( #20, #7 ), references = 1, size of lhs = 6:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #358: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #350 ), references = 1, size of lhs = 11:
% 6.36/6.54 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}(V2,V7,V6), P_addition-{F}(V7,V3,V8), P_multiplication-{F}(V2,V8,V9), P_addition-{F}(V9,V3,V10), V10 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #365: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #351 ), references = 1, size of lhs = 12:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_multiplication-{F}(V2,V2,V3), P_star-{F}(V2,V4), P_star-{F}(V5,V4), P_addition-{F}(V4,V6,V4), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V1,V7,V8), P_multiplication-{F}(V5,V9,V8), P_addition-{F}(V9,V4,V10), P_multiplication-{F}(V5,V10,V3) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #379: mergings( V3 == V5, V4 == V6; #376 ), references = 1, size of lhs = 8:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_a-{F}(V2), P_star-{F}(V2,V3), P_addition-{F}(V4,V2,V4), P_multiplication-{F}(V5,V4,V3), P_addition-{F}(V2,V6,V5), P_multiplication-{F}(V6,V4,V7) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #383: exists( #20, #8 ), references = 1, size of lhs = 6:
% 6.36/6.54 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)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #421: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V14 == V15, V3 == V5, V5 == V7, V7 == V10, V10 == V12; #408 ), references = 1, size of lhs = 9:
% 6.36/6.54 P_one-{F}(V0), P_addition-{F}(V1,V0,V0), P_zero-{F}(V2), P_addition-{F}(V3,V0,V3), P_multiplication-{F}(V3,V1,V4), P_addition-{F}(V0,V4,V4), P_multiplication-{F}(V4,V3,V5), P_addition-{F}(V5,V3,V6), leq-{F}(V6,V4) | P_star-{T}(V3,V4)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #432: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V14 == V15, V4 == V6, V6 == V9, V9 == V11, V11 == V13; #409 ), references = 1, size of lhs = 11:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V3,V1,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V4), P_multiplication-{F}(V4,V3,V5), P_addition-{F}(V5,V3,V6), leq-{F}(V6,V4), P_multiplication-{F}(V3,V0,V7), P_addition-{F}(V7,V4,V8) | P_star-{T}(V3,V8)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #443: mergings( V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #410 ), references = 1, size of lhs = 12:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_addition-{F}(V1,V3,V3), P_addition-{F}(V4,V1,V4), P_multiplication-{F}(V4,V2,V3), P_addition-{F}(V0,V5,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V6,V4,V7), P_addition-{F}(V7,V5,V8), leq-{F}(V8,V6), P_addition-{F}(V0,V6,V9) | P_star-{T}(V4,V9)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #455: mergings( V3 == V4, V4 == V5, V0 == V6; #451 ), references = 1, size of lhs = 8:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V5,V4,V4), P_addition-{F}(V5,V3,V6), V6 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #464: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #458 ), references = 1, size of lhs = 8:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V5,V3,V6), V6 == V3 | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #471: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #465 ), references = 2, size of lhs = 6:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V2,V4,V5) | P_addition-{T}(V5,V3,V3)
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #480: mergings( V3 == V5, V4 == V6; #477 ), references = 1, size of lhs = 7:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_a-{F}(V2), P_star-{F}(V2,V3), P_addition-{F}(V4,V2,V4), P_addition-{F}(V3,V4,V3) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #497: mergings( V2 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15; #485 ), references = 1, size of lhs = 7:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_addition-{F}(V2,V1,V1), P_a-{F}(V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V4,V3,V4) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #515: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16; #500 ), references = 2, size of lhs = 3:
% 6.36/6.54 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #519: mergings( V1 == V2; #517 ), references = 1, size of lhs = 1:
% 6.36/6.54 P_zero-{F}(V0) | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 #521: exists( #19, #517 ), references = 1, size of lhs = 0:
% 6.36/6.54 FALSE | FALSE
% 6.36/6.54 (used 0 times, uses = {})
% 6.36/6.54
% 6.36/6.54 number of learnt formulas = 42
% 6.36/6.54
% 6.36/6.54
% 6.36/6.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.36/6.54
% 6.36/6.54 randbase = 1
%------------------------------------------------------------------------------