TSTP Solution File: KLE040+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE040+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 98.17s 98.38s
% Output : Refutation 98.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE040+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n028.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 16:51:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 98.17/98.38 GeoParameters:
% 98.17/98.38
% 98.17/98.38 tptp_input = 1
% 98.17/98.38 tptp_output = 0
% 98.17/98.38 nonempty = 1
% 98.17/98.38 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.17/98.38 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 98.17/98.38
% 98.17/98.38
% 98.17/98.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.17/98.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.17/98.38
% 98.17/98.38 RuleSystem INPUT:
% 98.17/98.38
% 98.17/98.38 Initial Rules:
% 98.17/98.38 #0: input, references = 5, size of lhs = 3:
% 98.17/98.38 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #1: input, references = 6, size of lhs = 5:
% 98.17/98.38 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
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #2: input, references = 4, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #3: input, references = 4, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #4: input, references = 5, size of lhs = 6:
% 98.17/98.38 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
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #5: input, references = 4, size of lhs = 4:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #6: input, references = 4, size of lhs = 4:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #7: input, references = 7, size of lhs = 8:
% 98.17/98.38 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
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #8: input, references = 6, size of lhs = 8:
% 98.17/98.38 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
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #9: input, references = 4, size of lhs = 4:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #10: input, references = 4, size of lhs = 4:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #11: input, references = 12, size of lhs = 5:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #12: input, references = 7, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #13: input, references = 14, size of lhs = 5:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #14: input, references = 6, size of lhs = 5:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #15: input, references = 6, size of lhs = 7:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #16: input, references = 4, size of lhs = 7:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #17: input, references = 4, size of lhs = 2:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V2)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #18: input, references = 5, size of lhs = 5:
% 98.17/98.38 pppp0-{F}(V0), P_star-{F}(V0,V1), P_multiplication-{F}(V1,V1,V2), leq-{F}(V2,V1), leq-{F}(V1,V2) | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #19: input, references = 15, size of lhs = 2:
% 98.17/98.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #20: input, references = 4, size of lhs = 0:
% 98.17/98.38 FALSE | EXISTS V0: P_zero-{T}(V0)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #21: input, references = 28, size of lhs = 2:
% 98.17/98.38 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #22: input, references = 4, size of lhs = 0:
% 98.17/98.38 FALSE | EXISTS V0: P_one-{T}(V0)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #23: input, references = 6, size of lhs = 1:
% 98.17/98.38 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 number of initial rules = 24
% 98.17/98.38
% 98.17/98.38 Simplifiers:
% 98.17/98.38 #24: unsound, references = 3, size of lhs = 3:
% 98.17/98.38 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #25: unsound, references = 3, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #26: unsound, references = 3, size of lhs = 3:
% 98.17/98.38 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #27: unsound, references = 3, size of lhs = 3:
% 98.17/98.38 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #28: unsound, references = 3, size of lhs = 3:
% 98.17/98.38 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #29: unsound, references = 3, size of lhs = 3:
% 98.17/98.38 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 number of simplifiers = 6
% 98.17/98.38
% 98.17/98.38 Learnt:
% 98.17/98.38 #31: exists( #19, #3 ), references = 4, size of lhs = 2:
% 98.17/98.38 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #34: exists( #21, #5 ), references = 5, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #35: exists( #21, #6 ), references = 5, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #38: exists( #21, #9 ), references = 2, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #39: exists( #21, #10 ), references = 2, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #41: exists( #19, #2 ), references = 6, size of lhs = 2:
% 98.17/98.38 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #45: exists( #19, #0 ), references = 36, size of lhs = 1:
% 98.17/98.38 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #50: exists( #19, #11 ), references = 8, size of lhs = 3:
% 98.17/98.38 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #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:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #123: exists( #19, #7 ), references = 20, size of lhs = 6:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #124: exists( #19, #8 ), references = 17, size of lhs = 6:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #126: exists( #21, #4 ), references = 1, size of lhs = 4:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #130: exists( #19, #1 ), references = 29, size of lhs = 3:
% 98.17/98.38 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #147: exists( #21, #7 ), references = 1, size of lhs = 6:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #150: exists( #21, #4 ), references = 1, size of lhs = 4:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #163: mergings( V3 == V4, V0 == V5; #159 ), references = 2, size of lhs = 7:
% 98.17/98.38 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
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #168: mergings( V3 == V5, V4 == V6; #165 ), references = 2, size of lhs = 5:
% 98.17/98.38 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)
% 98.17/98.38 (used 0 times, uses = {})
% 98.17/98.38
% 98.17/98.38 #184: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #175 ), references = 1, size of lhs = 5:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #199: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #190 ), references = 1, size of lhs = 6:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #204: mergings( V3 == V4; #202 ), references = 1, size of lhs = 5:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #210: exists( #21, #163 ), references = 3, size of lhs = 6:
% 98.17/98.39 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
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #219: exists( #19, #217 ), references = 2, size of lhs = 6:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #225: exists( #21, #8 ), references = 1, size of lhs = 6:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #251: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #244 ), references = 1, size of lhs = 13:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V6,V3,V3), P_addition-{F}(V6,V3,V3), P_addition-{F}(V1,V7,V8), P_multiplication-{F}(V9,V3,V8), P_addition-{F}(V10,V9,V3), P_multiplication-{F}(V10,V3,V11), P_addition-{F}(V7,V11,V5) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #263: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #254 ), references = 1, size of lhs = 12:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V5,V3,V3), P_addition-{F}(V5,V3,V3), P_addition-{F}(V4,V6,V3), P_multiplication-{F}(V6,V3,V7), P_addition-{F}(V3,V8,V3), P_multiplication-{F}(V4,V8,V9), P_addition-{F}(V1,V9,V7) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #282: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #275 ), references = 1, size of lhs = 8:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #304: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #297 ), references = 1, size of lhs = 8:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #322: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #317 ), references = 5, size of lhs = 10:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V3,V3), P_addition-{F}(V4,V3,V3), P_star-{F}(V5,V3), P_multiplication-{F}(V5,V3,V6), P_addition-{F}(V6,V3,V7), leq-{F}(V7,V3) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #355: mergings( V3 == V5, V4 == V6; #352 ), references = 1, size of lhs = 7:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #404: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #396 ), references = 1, size of lhs = 11:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V4,V3,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
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #411: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #397 ), references = 1, size of lhs = 14:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V3,V3), P_addition-{F}(V4,V3,V3), P_star-{F}(V5,V3), P_addition-{F}(V6,V3,V3), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V3,V7,V8), P_addition-{F}(V1,V7,V8), P_multiplication-{F}(V9,V3,V8), P_addition-{F}(V9,V5,V10), P_multiplication-{F}(V10,V3,V11) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #451: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #444 ), references = 2, size of lhs = 12:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V6,V5,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}(V11,V8,V12), P_addition-{F}(V12,V3,V13), V13 == V11 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #456: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #445 ), references = 2, size of lhs = 12:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V6,V5,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}(V11,V8,V12), P_addition-{F}(V12,V3,V13), V13 == V11 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #463: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #446 ), references = 1, size of lhs = 14:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V6,V5,V7), P_multiplication-{F}(V4,V6,V8), P_addition-{F}(V2,V8,V9), P_addition-{F}(V10,V7,V7), P_multiplication-{F}(V4,V10,V11), P_addition-{F}(V12,V11,V11), P_star-{F}(V13,V14), P_multiplication-{F}(V13,V14,V9), P_addition-{F}(V12,V14,V15), V15 == V14 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #488: exists( #19, #210 ), references = 1, size of lhs = 4:
% 98.17/98.39 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)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #510: exists( #19, #506 ), references = 2, size of lhs = 11:
% 98.17/98.39 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,V7,V11), P_addition-{F}(V11,V3,V12), V12 == V10 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #511: exists( #19, #507 ), references = 2, size of lhs = 11:
% 98.17/98.39 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,V7,V11), P_addition-{F}(V11,V3,V12), V12 == V10 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #535: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #526 ), references = 2, size of lhs = 13:
% 98.17/98.39 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}(V6,V5,V5), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V4,V9,V10), P_multiplication-{F}(V10,V5,V11), P_addition-{F}(V11,V2,V12), V12 == V5 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #543: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #527 ), references = 2, size of lhs = 13:
% 98.17/98.39 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}(V6,V5,V5), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V4,V9,V10), P_multiplication-{F}(V10,V5,V11), P_addition-{F}(V11,V2,V12), V12 == V5 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #595: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #589 ), references = 1, size of lhs = 13:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V4,V5,V5), P_multiplication-{F}(V4,V6,V3), P_multiplication-{F}(V7,V8,V3), P_multiplication-{F}(V7,V9,V10), P_addition-{F}(V2,V10,V11), P_multiplication-{F}(V5,V12,V10), P_addition-{F}(V13,V12,V6), P_multiplication-{F}(V5,V13,V14), P_star-{F}(V15,V14), P_multiplication-{F}(V15,V14,V11) | P_multiplication-{T}(V5,V6,V14)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #600: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #590 ), references = 1, size of lhs = 13:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V4,V5,V5), P_multiplication-{F}(V4,V6,V3), P_multiplication-{F}(V7,V8,V3), P_multiplication-{F}(V7,V9,V10), P_addition-{F}(V2,V10,V11), P_multiplication-{F}(V5,V12,V10), P_addition-{F}(V13,V12,V6), P_multiplication-{F}(V5,V13,V14), P_star-{F}(V15,V14), P_multiplication-{F}(V15,V14,V11) | P_multiplication-{T}(V5,V6,V14)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #647: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #640 ), references = 1, size of lhs = 13:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V3), P_addition-{F}(V2,V4,V5), P_addition-{F}(V4,V6,V7), P_addition-{F}(V6,V8,V3), P_multiplication-{F}(V9,V10,V7), P_multiplication-{F}(V9,V11,V8), P_addition-{F}(V10,V11,V12), P_addition-{F}(V12,V13,V12), P_multiplication-{F}(V9,V13,V14), P_star-{F}(V15,V14), P_multiplication-{F}(V14,V15,V5) | P_multiplication-{T}(V9,V12,V14)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #666: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #654 ), references = 1, size of lhs = 15:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_addition-{F}(V3,V4,V3), P_multiplication-{F}(V3,V5,V3), P_addition-{F}(V6,V3,V3), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V1,V7,V8), P_addition-{F}(V9,V5,V9), P_addition-{F}(V2,V10,V9), P_multiplication-{F}(V3,V10,V11), P_addition-{F}(V7,V11,V8), P_multiplication-{F}(V4,V9,V12), P_addition-{F}(V3,V12,V13), V3 == V13 | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #686: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #679 ), references = 1, size of lhs = 17:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V3,V3), P_addition-{F}(V4,V3,V3), P_star-{F}(V5,V3), P_multiplication-{F}(V5,V3,V6), leq-{F}(V7,V3), P_addition-{F}(V1,V7,V3), P_star-{F}(V8,V7), P_multiplication-{F}(V8,V7,V6), P_addition-{F}(V1,V9,V10), P_addition-{F}(V9,V11,V6), P_multiplication-{F}(V12,V13,V11), P_multiplication-{F}(V12,V14,V10), P_addition-{F}(V13,V14,V15) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #727: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #714 ), references = 1, size of lhs = 23:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), leq-{F}(V3,V3), P_addition-{F}(V1,V3,V3), P_star-{F}(V4,V3), P_multiplication-{F}(V3,V4,V5), P_multiplication-{F}(V6,V3,V3), P_addition-{F}(V6,V3,V3), P_star-{F}(V7,V3), P_multiplication-{F}(V7,V3,V8), P_addition-{F}(V9,V10,V5), P_addition-{F}(V1,V9,V11), P_addition-{F}(V10,V12,V13), P_addition-{F}(V12,V14,V11), P_multiplication-{F}(V15,V16,V13), P_multiplication-{F}(V17,V16,V14), P_addition-{F}(V15,V17,V18), P_multiplication-{F}(V3,V19,V20), P_addition-{F}(V20,V21,V5), P_star-{F}(V19,V22), P_multiplication-{F}(V21,V22,V8) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #762: mergings( V3 == V5, V4 == V6; #758 ), references = 1, size of lhs = 13:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_addition-{F}(V2,V4,V4), P_star-{F}(V5,V6), P_multiplication-{F}(V7,V6,V4), P_addition-{F}(V8,V6,V6), P_multiplication-{F}(V5,V8,V9), P_addition-{F}(V6,V9,V10), P_multiplication-{F}(V11,V6,V10), P_addition-{F}(V5,V11,V12), P_addition-{F}(V12,V7,V12) | P_multiplication-{T}(V12,V6,V6)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #765: mergings( V3 == V5, V4 == V6; #759 ), references = 1, size of lhs = 13:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), P_addition-{F}(V2,V4,V4), P_star-{F}(V5,V6), P_multiplication-{F}(V7,V6,V4), P_addition-{F}(V8,V6,V6), P_multiplication-{F}(V5,V8,V9), P_addition-{F}(V6,V9,V10), P_multiplication-{F}(V11,V6,V10), P_addition-{F}(V5,V11,V12), P_addition-{F}(V12,V7,V12) | P_multiplication-{T}(V12,V6,V6)
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #773: mergings( V3 == V5, V4 == V6; #770 ), references = 1, size of lhs = 11:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2), P_star-{F}(V2,V3), P_multiplication-{F}(V4,V3,V3), P_addition-{F}(V4,V3,V3), P_star-{F}(V5,V3), P_multiplication-{F}(V6,V3,V3), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V7,V3,V8), leq-{F}(V8,V3) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #795: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V22 == V23, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17; #782 ), references = 1, size of lhs = 15:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V1,V3,V2), pppp0-{F}(V4), P_star-{F}(V4,V5), leq-{F}(V5,V5), P_addition-{F}(V1,V5,V5), P_addition-{F}(V6,V5,V5), P_star-{F}(V7,V5), P_multiplication-{F}(V7,V6,V8), P_addition-{F}(V5,V8,V9), P_addition-{F}(V2,V9,V9), P_addition-{F}(V10,V10,V10), P_multiplication-{F}(V10,V5,V9) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #822: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24; #802 ), references = 1, size of lhs = 9:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,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), pppp0-{F}(V4), P_multiplication-{F}(V4,V0,V0) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #847: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V25, V1 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26; #824 ), references = 1, size of lhs = 7:
% 98.17/98.39 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,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
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #865: 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, V13 == V14; #851 ), references = 1, size of lhs = 1:
% 98.17/98.39 P_zero-{F}(V0) | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 #867: exists( #20, #851 ), references = 1, size of lhs = 0:
% 98.17/98.39 FALSE | FALSE
% 98.17/98.39 (used 0 times, uses = {})
% 98.17/98.39
% 98.17/98.39 number of learnt formulas = 53
% 98.17/98.39
% 98.17/98.39
% 98.17/98.39 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 98.17/98.39
% 98.17/98.39 randbase = 1
%------------------------------------------------------------------------------