TSTP Solution File: KLE093+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE093+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:07:06 EDT 2022
% Result : Theorem 16.76s 16.92s
% Output : Refutation 16.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE093+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 16:46:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.76/16.92 GeoParameters:
% 16.76/16.92
% 16.76/16.92 tptp_input = 1
% 16.76/16.92 tptp_output = 0
% 16.76/16.92 nonempty = 1
% 16.76/16.92 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.76/16.92 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 16.76/16.92
% 16.76/16.92
% 16.76/16.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.76/16.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.76/16.92
% 16.76/16.92 RuleSystem INPUT:
% 16.76/16.92
% 16.76/16.92 Initial Rules:
% 16.76/16.92 #0: input, references = 5, size of lhs = 3:
% 16.76/16.92 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #1: input, references = 6, size of lhs = 5:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #2: input, references = 4, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #3: input, references = 4, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #4: input, references = 6, size of lhs = 6:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #5: input, references = 4, size of lhs = 4:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #6: input, references = 4, size of lhs = 4:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #7: input, references = 5, size of lhs = 8:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #8: input, references = 5, size of lhs = 8:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #9: input, references = 4, size of lhs = 4:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #10: input, references = 4, size of lhs = 4:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #11: input, references = 6, size of lhs = 5:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #12: input, references = 3, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #13: input, references = 5, size of lhs = 5:
% 16.76/16.92 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)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #14: input, references = 6, size of lhs = 5:
% 16.76/16.92 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)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #15: input, references = 7, size of lhs = 7:
% 16.76/16.92 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)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #16: input, references = 3, size of lhs = 7:
% 16.76/16.92 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)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #17: input, references = 6, size of lhs = 6:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #18: input, references = 6, size of lhs = 8:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #19: input, references = 4, size of lhs = 5:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #20: input, references = 4, size of lhs = 4:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #21: input, references = 4, size of lhs = 9:
% 16.76/16.92 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
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #22: input, references = 4, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp0-{T}(V1,V3)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #23: input, references = 4, size of lhs = 3:
% 16.76/16.92 pppp0-{F}(V0,V1), P_star-{F}(V1,V2), P_domain-{F}(V2,V0) | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #24: input, references = 11, size of lhs = 2:
% 16.76/16.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #25: input, references = 4, size of lhs = 0:
% 16.76/16.92 FALSE | EXISTS V0: P_zero-{T}(V0)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #26: input, references = 16, size of lhs = 2:
% 16.76/16.92 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #27: input, references = 4, size of lhs = 0:
% 16.76/16.92 FALSE | EXISTS V0: P_one-{T}(V0)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #28: input, references = 6, size of lhs = 1:
% 16.76/16.92 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #29: input, references = 9, size of lhs = 1:
% 16.76/16.92 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 number of initial rules = 30
% 16.76/16.92
% 16.76/16.92 Simplifiers:
% 16.76/16.92 #30: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #31: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #32: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #33: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #34: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #35: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #36: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #37: unsound, references = 3, size of lhs = 3:
% 16.76/16.92 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 number of simplifiers = 8
% 16.76/16.92
% 16.76/16.92 Learnt:
% 16.76/16.92 #39: exists( #29, #20 ), references = 2, size of lhs = 2:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #41: exists( #26, #5 ), references = 6, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #44: exists( #24, #3 ), references = 2, size of lhs = 2:
% 16.76/16.92 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #47: exists( #26, #9 ), references = 3, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #49: exists( #24, #2 ), references = 1, size of lhs = 2:
% 16.76/16.92 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #53: exists( #24, #0 ), references = 10, size of lhs = 1:
% 16.76/16.92 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #54: exists( #24, #11 ), references = 8, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 16.76/16.92 (used 0 times, uses = {})
% 16.76/16.92
% 16.76/16.92 #61: exists( #26, #10 ), references = 1, size of lhs = 3:
% 16.76/16.92 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #108: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #95 ), references = 1, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #126: mergings( V2 == V0, V0 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #97 ), references = 1, size of lhs = 7:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_addition-{F}(V2,V2,V3), P_multiplication-{F}(V0,V3,V4), P_addition-{F}(V4,V1,V5), leq-{F}(V5,V3) | P_star-{T}(V0,V3)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #149: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V0 == V4, V4 == V6, V6 == V8, V8 == V10; #140 ), references = 1, size of lhs = 5:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #151: exists( #24, #19 ), references = 3, size of lhs = 3:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #164: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #157 ), references = 1, size of lhs = 9:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V1), P_multiplication-{F}(V3,V1,V4), P_star-{F}(V3,V5), P_star-{F}(V5,V6), P_addition-{F}(V4,V6,V2), P_addition-{F}(V1,V6,V7), V7 == V6 | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #175: mergings( V2 == V3, V3 == V4, V0 == V5; #171 ), references = 1, size of lhs = 2:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #177: exists( #26, #6 ), references = 1, size of lhs = 3:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #183: exists( #29, #18 ), references = 1, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #189: exists( #24, #8 ), references = 4, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #190: exists( #24, #7 ), references = 2, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #196: exists( #24, #1 ), references = 2, size of lhs = 3:
% 16.76/16.93 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #202: exists( #26, #7 ), references = 2, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #211: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #206 ), references = 3, size of lhs = 12:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V6,V7,V4), P_multiplication-{F}(V6,V5,V8), P_multiplication-{F}(V7,V9,V8), P_addition-{F}(V5,V9,V10), P_domain-{F}(V10,V11), P_multiplication-{F}(V7,V11,V12), P_domain-{F}(V12,V13), V3 == V13 | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #218: exists( #29, #211 ), references = 1, size of lhs = 10:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V4,V5,V2), P_multiplication-{F}(V6,V4,V7), P_multiplication-{F}(V8,V5,V7), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V9,V4,V10), P_multiplication-{F}(V8,V3,V11), P_domain-{F}(V11,V12) | P_domain-{T}(V10,V12)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #219: exists( #29, #18 ), references = 1, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #228: mergings( V3 == V5, V4 == V6; #225 ), references = 1, size of lhs = 6:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V3,V5,V6) | P_multiplication-{T}(V3,V2,V6)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #239: exists( #29, #211 ), references = 1, size of lhs = 10:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V4,V5,V2), P_multiplication-{F}(V6,V4,V7), P_multiplication-{F}(V8,V5,V7), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V9,V4,V10), P_multiplication-{F}(V8,V3,V11), P_domain-{F}(V11,V12) | P_domain-{T}(V10,V12)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #245: mergings( V3 == V5, V4 == V6; #242 ), references = 1, size of lhs = 6:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #251: exists( #26, #4 ), references = 2, size of lhs = 4:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #252: exists( #26, #8 ), references = 1, size of lhs = 6:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #268: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9; #261 ), references = 1, size of lhs = 11:
% 16.76/16.93 P_one-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V3,V4,V3), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V7,V6,V8), P_multiplication-{F}(V9,V5,V8), P_addition-{F}(V7,V9,V10), P_multiplication-{F}(V10,V5,V11), P_multiplication-{F}(V11,V4,V12), V11 == V12 | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #272: exists( #26, #4 ), references = 1, size of lhs = 4:
% 16.76/16.93 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)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #285: mergings( V3 == V4, V0 == V5; #282 ), references = 1, size of lhs = 7:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5), P_addition-{F}(V2,V4,V6), V6 == V4 | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #289: mergings( V3 == V5, V4 == V6; #286 ), references = 1, size of lhs = 6:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #293: mergings( V3 == V5, V4 == V6; #290 ), references = 1, size of lhs = 4:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #298: mergings( V2 == V4, V3 == V5; #295 ), references = 1, size of lhs = 5:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V1), P_addition-{F}(V4,V3,V4) | P_domain-{T}(V4,V1)
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #309: mergings( V2 == V4, V4 == V7, V7 == V9, V3 == V5, V5 == V8, V8 == V10; #302 ), references = 1, size of lhs = 6:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_domain-{F}(V2,V1), P_domain-{F}(V0,V3), pppp0-{F}(V1,V4) | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #319: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V10, V5 == V7, V7 == V1, V1 == V11, V2 == V12; #310 ), references = 1, size of lhs = 5:
% 16.76/16.93 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_domain-{F}(V2,V1), P_domain-{F}(V0,V3) | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #331: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #323 ), references = 1, size of lhs = 1:
% 16.76/16.93 P_zero-{F}(V0) | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 #333: exists( #25, #323 ), references = 1, size of lhs = 0:
% 16.76/16.93 FALSE | FALSE
% 16.76/16.93 (used 0 times, uses = {})
% 16.76/16.93
% 16.76/16.93 number of learnt formulas = 38
% 16.76/16.93
% 16.76/16.93
% 16.76/16.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.76/16.93
% 16.76/16.93 randbase = 1
%------------------------------------------------------------------------------