TSTP Solution File: KLE082+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:07:05 EDT 2022
% Result : Theorem 47.32s 47.57s
% Output : Refutation 47.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 16:54:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 47.32/47.57 GeoParameters:
% 47.32/47.57
% 47.32/47.57 tptp_input = 1
% 47.32/47.57 tptp_output = 0
% 47.32/47.57 nonempty = 1
% 47.32/47.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.32/47.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 47.32/47.57
% 47.32/47.57
% 47.32/47.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.32/47.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.32/47.57
% 47.32/47.57 RuleSystem INPUT:
% 47.32/47.57
% 47.32/47.57 Initial Rules:
% 47.32/47.57 #0: input, references = 4, size of lhs = 3:
% 47.32/47.57 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #1: input, references = 4, size of lhs = 5:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #2: input, references = 4, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #3: input, references = 4, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #4: input, references = 5, size of lhs = 6:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #5: input, references = 4, size of lhs = 4:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #6: input, references = 4, size of lhs = 4:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #7: input, references = 7, size of lhs = 8:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #8: input, references = 6, size of lhs = 8:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #9: input, references = 4, size of lhs = 4:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #10: input, references = 4, size of lhs = 4:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #11: input, references = 3, size of lhs = 5:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #12: input, references = 3, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #13: input, references = 5, size of lhs = 6:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #14: input, references = 5, size of lhs = 8:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #15: input, references = 4, size of lhs = 5:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #16: input, references = 4, size of lhs = 4:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #17: input, references = 4, size of lhs = 9:
% 47.32/47.57 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
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #18: input, references = 4, size of lhs = 8:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V4,V5,V7), V6 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #19: input, references = 4, size of lhs = 8:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), P_multiplication-{F}(V4,V5,V7), V7 == V0 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #20: input, references = 4, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp1-{T}(V3)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #21: input, references = 6, size of lhs = 1:
% 47.32/47.57 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #22: input, references = 6, size of lhs = 7:
% 47.32/47.57 pppp0-{F}(V0,V1), P_multiplication-{F}(V1,V0,V2), P_antidomain-{F}(V2,V3), P_domain-{F}(V0,V4), P_multiplication-{F}(V1,V4,V5), P_antidomain-{F}(V5,V6), P_addition-{F}(V3,V6,V6) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #23: input, references = 11, size of lhs = 2:
% 47.32/47.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #24: input, references = 4, size of lhs = 0:
% 47.32/47.57 FALSE | EXISTS V0: P_zero-{T}(V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #25: input, references = 17, size of lhs = 2:
% 47.32/47.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #26: input, references = 4, size of lhs = 0:
% 47.32/47.57 FALSE | EXISTS V0: P_one-{T}(V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #27: input, references = 11, size of lhs = 1:
% 47.32/47.57 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #28: input, references = 7, size of lhs = 1:
% 47.32/47.57 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 number of initial rules = 29
% 47.32/47.57
% 47.32/47.57 Simplifiers:
% 47.32/47.57 #29: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #30: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #31: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #32: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #33: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #34: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #35: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #36: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #37: unsound, references = 3, size of lhs = 3:
% 47.32/47.57 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 number of simplifiers = 9
% 47.32/47.57
% 47.32/47.57 Learnt:
% 47.32/47.57 #39: exists( #27, #16 ), references = 2, size of lhs = 2:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #41: exists( #25, #5 ), references = 5, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #44: exists( #23, #3 ), references = 3, size of lhs = 2:
% 47.32/47.57 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #47: exists( #25, #9 ), references = 2, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #49: exists( #25, #10 ), references = 4, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #51: exists( #25, #18 ), references = 3, size of lhs = 7:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V6), V6 == V1 | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #53: exists( #23, #2 ), references = 9, size of lhs = 2:
% 47.32/47.57 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #56: exists( #23, #0 ), references = 13, size of lhs = 1:
% 47.32/47.57 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #62: mergings( V2 == V3; #60 ), references = 1, size of lhs = 4:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V0) | P_antidomain-{T}(V3,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #64: exists( #23, #15 ), references = 2, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #67: exists( #25, #6 ), references = 3, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #69: mergings( V7 == V4; #66 ), references = 5, size of lhs = 6:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V4,V5,V1) | P_multiplication-{T}(V4,V5,V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #72: exists( #28, #70 ), references = 4, size of lhs = 5:
% 47.32/47.57 P_zero-{F}(V0), pppp0-{F}(V1,V2), P_multiplication-{F}(V2,V1,V3), P_domain-{F}(V1,V4), P_multiplication-{F}(V2,V4,V3) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #76: mergings( V2 == V3; #74 ), references = 1, size of lhs = 4:
% 47.32/47.57 pppp1-{F}(V0), P_one-{F}(V0), P_domain-{F}(V0,V0), P_zero-{F}(V1) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #82: mergings( V0 == V3; #79 ), references = 1, size of lhs = 4:
% 47.32/47.57 pppp1-{F}(V0), P_domain-{F}(V0,V0), P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #88: mergings( V2 == V4; #85 ), references = 1, size of lhs = 4:
% 47.32/47.57 P_one-{F}(V0), P_zero-{F}(V1), pppp0-{F}(V2,V1), P_multiplication-{F}(V1,V2,V1) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #89: exists( #27, #84 ), references = 1, size of lhs = 7:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V0), P_multiplication-{F}(V0,V2,V3), P_antidomain-{F}(V3,V4), P_antidomain-{F}(V0,V5), P_addition-{F}(V4,V5,V5) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #91: exists( #23, #1 ), references = 5, size of lhs = 3:
% 47.32/47.57 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #93: exists( #25, #72 ), references = 1, size of lhs = 3:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V1,V1), pppp0-{F}(V1,V2) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #95: exists( #27, #14 ), references = 3, size of lhs = 6:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #108: exists( #27, #14 ), references = 1, size of lhs = 6:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #111: exists( #23, #8 ), references = 2, size of lhs = 6:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #112: exists( #23, #7 ), references = 2, size of lhs = 6:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #115: exists( #25, #4 ), references = 1, size of lhs = 4:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #132: exists( #23, #127 ), references = 4, size of lhs = 9:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V6,V4,V7), P_addition-{F}(V8,V6,V5), P_addition-{F}(V9,V8,V10), P_addition-{F}(V11,V9,V7) | P_addition-{T}(V11,V10,V1)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #138: mergings( V3 == V6, V4 == V7; #135 ), references = 1, size of lhs = 13:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_antidomain-{F}(V3,V5), P_addition-{F}(V6,V4,V7), P_addition-{F}(V8,V6,V5), P_addition-{F}(V9,V8,V10), P_multiplication-{F}(V10,V11,V10), P_multiplication-{F}(V2,V11,V12), V12 == V2, P_multiplication-{F}(V13,V11,V13), P_addition-{F}(V13,V9,V7) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #146: exists( #25, #7 ), references = 1, size of lhs = 6:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #152: mergings( V3 == V4; #150 ), references = 2, size of lhs = 5:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #161: mergings( V3 == V5, V4 == V6; #158 ), references = 2, size of lhs = 6:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #166: exists( #25, #4 ), references = 1, size of lhs = 4:
% 47.32/47.57 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)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #187: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V4 == V8, V8 == V11, V11 == V13, V6 == V9, V14 == V16; #176 ), references = 4, size of lhs = 10:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_addition-{F}(V0,V4,V5), P_addition-{F}(V4,V0,V5), P_multiplication-{F}(V6,V4,V0), P_addition-{F}(V6,V4,V2), P_multiplication-{F}(V6,V2,V7), P_addition-{F}(V7,V0,V8) | P_antidomain-{T}(V3,V8)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #215: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #210 ), references = 2, size of lhs = 5:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V2) | P_multiplication-{T}(V5,V4,V0)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #245: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V15 == V18, V0 == V20, V3 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V19, V10 == V13, V13 == V17; #228 ), references = 2, size of lhs = 16:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V3,V3), P_addition-{F}(V3,V2,V2), P_addition-{F}(V0,V3,V4), P_antidomain-{F}(V5,V2), P_domain-{F}(V5,V6), P_addition-{F}(V2,V6,V7), P_addition-{F}(V8,V3,V7), P_multiplication-{F}(V8,V3,V9), P_domain-{F}(V9,V0), P_multiplication-{F}(V8,V2,V10), P_addition-{F}(V10,V0,V11), P_addition-{F}(V3,V11,V2), P_addition-{F}(V11,V3,V2) | P_domain-{T}(V3,V4)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #250: exists( #27, #17 ), references = 1, size of lhs = 7:
% 47.32/47.57 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V5,V7), P_addition-{F}(V4,V7,V8) | P_domain-{T}(V6,V8)
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #257: mergings( V3 == V5, V4 == V7; #254 ), references = 2, size of lhs = 17:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), pppp0-{F}(V5,V6), P_multiplication-{F}(V6,V3,V7), P_domain-{F}(V7,V8), P_multiplication-{F}(V9,V8,V0), P_addition-{F}(V9,V8,V2), P_multiplication-{F}(V9,V2,V10), P_addition-{F}(V10,V0,V11), P_addition-{F}(V0,V8,V12), P_addition-{F}(V8,V0,V12), P_multiplication-{F}(V6,V5,V13), P_antidomain-{F}(V13,V14), P_addition-{F}(V14,V11,V11) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #323: mergings( V19 == V20, V2 == V3, V3 == V4, V4 == V5, V5 == V7, V17 == V18, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V16 == V21; #309 ), references = 1, size of lhs = 17:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_addition-{F}(V1,V3,V1), P_domain-{F}(V4,V5), P_domain-{F}(V6,V5), pppp0-{F}(V6,V7), P_multiplication-{F}(V7,V4,V8), P_domain-{F}(V8,V9), P_multiplication-{F}(V9,V1,V10), P_addition-{F}(V10,V0,V9), P_addition-{F}(V9,V0,V11), P_addition-{F}(V0,V9,V11), P_multiplication-{F}(V7,V6,V12), P_domain-{F}(V12,V9) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #339: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #327 ), references = 1, size of lhs = 11:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_addition-{F}(V1,V3,V1), P_domain-{F}(V4,V5), P_domain-{F}(V6,V5), pppp0-{F}(V6,V7), P_multiplication-{F}(V7,V4,V8), P_multiplication-{F}(V7,V6,V8) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #352: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #340 ), references = 1, size of lhs = 8:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_addition-{F}(V1,V3,V1), P_domain-{F}(V4,V5), pppp0-{F}(V4,V6) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #365: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #353 ), references = 1, size of lhs = 7:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_addition-{F}(V1,V3,V1), pppp0-{F}(V4,V5) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #378: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #366 ), references = 1, size of lhs = 7:
% 47.32/47.57 pppp1-{F}(V0), P_zero-{F}(V1), P_domain-{F}(V1,V1), P_one-{F}(V2), P_antidomain-{F}(V3,V2), P_domain-{F}(V3,V4), P_addition-{F}(V2,V4,V2) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #394: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V1 == V16, V2 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15; #379 ), references = 1, size of lhs = 6:
% 47.32/47.57 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_addition-{F}(V1,V3,V1) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #403: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #398 ), references = 1, size of lhs = 1:
% 47.32/47.57 P_zero-{F}(V0) | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 #405: exists( #24, #398 ), references = 1, size of lhs = 0:
% 47.32/47.57 FALSE | FALSE
% 47.32/47.57 (used 0 times, uses = {})
% 47.32/47.57
% 47.32/47.57 number of learnt formulas = 43
% 47.32/47.57
% 47.32/47.57
% 47.32/47.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.32/47.57
% 47.32/47.57 randbase = 1
%------------------------------------------------------------------------------