TSTP Solution File: KLE089+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE089+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 41.59s 41.76s
% Output : Refutation 41.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE089+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 16:38:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 41.59/41.76 GeoParameters:
% 41.59/41.76
% 41.59/41.76 tptp_input = 1
% 41.59/41.76 tptp_output = 0
% 41.59/41.76 nonempty = 1
% 41.59/41.76 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.59/41.76 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 41.59/41.76
% 41.59/41.76
% 41.59/41.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.59/41.76 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.59/41.76
% 41.59/41.76 RuleSystem INPUT:
% 41.59/41.76
% 41.59/41.76 Initial Rules:
% 41.59/41.76 #0: input, references = 4, size of lhs = 3:
% 41.59/41.76 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #1: input, references = 5, size of lhs = 5:
% 41.59/41.76 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
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #2: input, references = 5, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #3: input, references = 4, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #4: input, references = 4, size of lhs = 6:
% 41.59/41.76 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
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #5: input, references = 4, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #6: input, references = 4, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #7: input, references = 6, size of lhs = 8:
% 41.59/41.76 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
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #8: input, references = 8, size of lhs = 8:
% 41.59/41.76 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
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #9: input, references = 4, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #10: input, references = 4, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #11: input, references = 3, size of lhs = 5:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #12: input, references = 3, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #13: input, references = 6, size of lhs = 5:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #14: input, references = 4, size of lhs = 10:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_antidomain-{F}(V4,V5), P_antidomain-{F}(V3,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V2,V7,V8), P_antidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #15: input, references = 6, size of lhs = 6:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #16: input, references = 5, size of lhs = 6:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #17: input, references = 5, size of lhs = 5:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #18: input, references = 4, size of lhs = 10:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_coantidomain-{F}(V4,V5), P_coantidomain-{F}(V2,V6), P_coantidomain-{F}(V6,V7), P_multiplication-{F}(V7,V3,V8), P_coantidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #19: input, references = 4, size of lhs = 6:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #20: input, references = 5, size of lhs = 6:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4), P_coantidomain-{F}(V4,V5), V3 == V5 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #21: input, references = 4, size of lhs = 2:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp1-{T}(V0,V2)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #22: input, references = 6, size of lhs = 1:
% 41.59/41.76 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V1,V2,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #23: input, references = 6, size of lhs = 5:
% 41.59/41.76 pppp0-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_antidomain-{F}(V1,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V3,V1,V2) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #24: input, references = 5, size of lhs = 6:
% 41.59/41.76 pppp0-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_antidomain-{F}(V1,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V3,V1,V6), V5 == V4 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #25: input, references = 11, size of lhs = 2:
% 41.59/41.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #26: input, references = 4, size of lhs = 0:
% 41.59/41.76 FALSE | EXISTS V0: P_zero-{T}(V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #27: input, references = 15, size of lhs = 2:
% 41.59/41.76 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #28: input, references = 4, size of lhs = 0:
% 41.59/41.76 FALSE | EXISTS V0: P_one-{T}(V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #29: input, references = 10, size of lhs = 1:
% 41.59/41.76 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #30: input, references = 9, size of lhs = 1:
% 41.59/41.76 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #31: input, references = 5, size of lhs = 1:
% 41.59/41.76 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #32: input, references = 9, size of lhs = 1:
% 41.59/41.76 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 number of initial rules = 33
% 41.59/41.76
% 41.59/41.76 Simplifiers:
% 41.59/41.76 #33: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #34: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #35: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #36: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #37: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #38: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #39: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #40: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #41: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V2), V1 == V4 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #42: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V2), V0 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #43: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V2 == V5 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #44: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #45: unsound, references = 3, size of lhs = 3:
% 41.59/41.76 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 number of simplifiers = 13
% 41.59/41.76
% 41.59/41.76 Learnt:
% 41.59/41.76 #47: exists( #25, #19 ), references = 6, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #50: exists( #25, #3 ), references = 5, size of lhs = 2:
% 41.59/41.76 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #52: exists( #29, #16 ), references = 4, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #54: exists( #31, #20 ), references = 7, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #56: exists( #30, #16 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #58: exists( #25, #0 ), references = 9, size of lhs = 1:
% 41.59/41.76 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #60: exists( #27, #5 ), references = 3, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #63: exists( #32, #20 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #72: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #67 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1) | P_domain-{T}(V2,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #78: exists( #27, #9 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #86: mergings( V2 == V4, V4 == V6, V3 == V5; #82 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_one-{F}(V0), P_zero-{F}(V1), P_coantidomain-{F}(V2,V1), P_coantidomain-{F}(V3,V1) | P_codomain-{T}(V2,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #89: exists( #25, #2 ), references = 8, size of lhs = 2:
% 41.59/41.76 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #90: exists( #25, #7 ), references = 1, size of lhs = 6:
% 41.59/41.76 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)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #96: exists( #27, #10 ), references = 2, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #101: mergings( V0 == V2; #99 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0) | P_antidomain-{T}(V0,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #105: exists( #27, #13 ), references = 3, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #114: mergings( V3 == V4; #112 ), references = 1, size of lhs = 5:
% 41.59/41.76 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)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #116: exists( #25, #1 ), references = 12, size of lhs = 3:
% 41.59/41.76 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #121: mergings( V2 == V3, V0 == V4; #118 ), references = 1, size of lhs = 2:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #131: exists( #27, #6 ), references = 3, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #132: exists( #27, #4 ), references = 3, size of lhs = 4:
% 41.59/41.76 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)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #140: mergings( V2 == V3, V0 == V4; #137 ), references = 1, size of lhs = 2:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #145: exists( #29, #143 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_domain-{F}(V1,V0), pppp0-{F}(V1,V2,V3), P_multiplication-{F}(V0,V2,V3) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #148: exists( #22, #146 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_one-{F}(V0), P_zero-{F}(V1), pppp1-{F}(V1,V2), P_domain-{F}(V2,V1) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #164: mergings( V2 == V3, V3 == V5, V4 == V6; #160 ), references = 1, size of lhs = 8:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V0), P_coantidomain-{F}(V3,V4), P_multiplication-{F}(V5,V6,V4), P_coantidomain-{F}(V5,V7), P_coantidomain-{F}(V7,V8), P_multiplication-{F}(V8,V6,V2) | P_codomain-{T}(V3,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #188: exists( #25, #24 ), references = 3, size of lhs = 4:
% 41.59/41.76 P_domain-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_antidomain-{F}(V2,V4), P_multiplication-{F}(V1,V2,V5) | P_addition-{T}(V1,V4,V4)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #195: mergings( V2 == V4, V9 == V10, V3 == V5; #191 ), references = 2, size of lhs = 7:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5), P_multiplication-{F}(V3,V4,V6), P_addition-{F}(V6,V0,V7), V0 == V7 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #203: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #198 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp1-{F}(V3,V2) | pppp0-{T}(V2,V0,V3)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #232: mergings( V2 == V4, V3 == V5; #229 ), references = 1, size of lhs = 7:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_addition-{F}(V3,V5,V3), P_addition-{F}(V1,V5,V6), V1 == V6 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #236: mergings( V3 == V4; #234 ), references = 5, size of lhs = 8:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V7,V8,V6), P_multiplication-{F}(V7,V3,V9), P_multiplication-{F}(V8,V3,V10), P_addition-{F}(V9,V10,V11) | P_multiplication-{T}(V5,V4,V11)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #310: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #299 ), references = 1, size of lhs = 23:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_addition-{F}(V1,V6,V7), P_addition-{F}(V2,V6,V8), P_addition-{F}(V7,V9,V10), P_addition-{F}(V8,V9,V11), P_multiplication-{F}(V12,V13,V10), P_multiplication-{F}(V14,V13,V4), P_addition-{F}(V14,V12,V15), P_multiplication-{F}(V16,V13,V17), P_multiplication-{F}(V18,V16,V15), P_multiplication-{F}(V19,V17,V4), P_multiplication-{F}(V20,V19,V21), P_addition-{F}(V22,V18,V21), P_multiplication-{F}(V22,V17,V23), P_addition-{F}(V23,V11,V24), P_multiplication-{F}(V20,V2,V25), P_multiplication-{F}(V20,V1,V26), P_addition-{F}(V26,V24,V27), V25 == V27 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #321: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #300 ), references = 1, size of lhs = 24:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_multiplication-{F}(V6,V7,V4), P_multiplication-{F}(V8,V7,V9), P_multiplication-{F}(V9,V9,V10), P_multiplication-{F}(V10,V11,V12), P_multiplication-{F}(V13,V11,V14), P_addition-{F}(V15,V13,V15), P_multiplication-{F}(V16,V8,V17), P_multiplication-{F}(V16,V12,V18), P_addition-{F}(V18,V14,V19), V18 == V19, P_addition-{F}(V6,V20,V17), P_multiplication-{F}(V20,V7,V21), P_addition-{F}(V1,V22,V23), P_addition-{F}(V2,V22,V24), P_addition-{F}(V23,V25,V21), P_addition-{F}(V24,V25,V26), P_addition-{F}(V27,V16,V26), P_multiplication-{F}(V27,V9,V28), P_addition-{F}(V28,V26,V15) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #373: exists( #27, #17 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #383: exists( #25, #8 ), references = 3, size of lhs = 6:
% 41.59/41.76 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)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #391: exists( #27, #24 ), references = 1, size of lhs = 5:
% 41.59/41.76 P_domain-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_antidomain-{F}(V2,V4), P_addition-{F}(V1,V4,V5), V5 == V4 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #394: exists( #30, #392 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_antidomain-{F}(V1,V0), pppp0-{F}(V2,V1,V3) | P_domain-{T}(V2,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #418: exists( #27, #414 ), references = 1, size of lhs = 8:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V4,V3), V4 == V1, P_antidomain-{F}(V5,V4), pppp0-{F}(V2,V5,V6), P_antidomain-{F}(V7,V4) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #423: mergings( V2 == V4, V3 == V5; #420 ), references = 1, size of lhs = 7:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), V3 == V1, P_antidomain-{F}(V4,V3), pppp0-{F}(V2,V4,V5), P_antidomain-{F}(V6,V3) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #427: mergings( V2 == V4, V3 == V5; #424 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V2,V3) | P_antidomain-{T}(V2,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #441: mergings( V2 == V3, V3 == V5, V4 == V6; #437 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), pppp0-{F}(V2,V3,V0) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #483: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #475 ), references = 1, size of lhs = 15:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V2), P_coantidomain-{F}(V3,V4), P_coantidomain-{F}(V5,V4), P_antidomain-{F}(V6,V7), P_antidomain-{F}(V7,V8), P_multiplication-{F}(V9,V6,V10), P_antidomain-{F}(V10,V11), P_multiplication-{F}(V9,V8,V12), P_antidomain-{F}(V12,V13), P_multiplication-{F}(V4,V14,V13), P_multiplication-{F}(V1,V14,V11), P_multiplication-{F}(V2,V14,V15), V15 == V13 | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #489: exists( #25, #487 ), references = 1, size of lhs = 6:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V5,V6,V4), P_addition-{F}(V3,V5,V7) | P_addition-{T}(V7,V6,V1)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #501: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #496 ), references = 1, size of lhs = 13:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V1,V5,V6), V6 == V4, P_multiplication-{F}(V7,V5,V7), P_multiplication-{F}(V8,V9,V7), P_multiplication-{F}(V10,V9,V4), P_addition-{F}(V8,V11,V10), P_multiplication-{F}(V11,V9,V12), P_addition-{F}(V3,V12,V13), P_multiplication-{F}(V13,V5,V12) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #564: exists( #27, #562 ), references = 1, size of lhs = 4:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), pppp0-{F}(V2,V4,V5) | P_multiplication-{T}(V3,V4,V0)
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #572: mergings( V6 == V7, V5 == V7, V2 == V4; #568 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_domain-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_multiplication-{F}(V1,V2,V3) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #577: mergings( V2 == V5, V5 == V6; #574 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V3,V0) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #579: exists( #22, #574 ), references = 1, size of lhs = 3:
% 41.59/41.76 P_zero-{F}(V0), pppp1-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #582: mergings( V1 == V3; #580 ), references = 1, size of lhs = 2:
% 41.59/41.76 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #584: exists( #28, #580 ), references = 1, size of lhs = 1:
% 41.59/41.76 P_zero-{F}(V0) | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 #586: exists( #26, #583 ), references = 1, size of lhs = 0:
% 41.59/41.76 FALSE | FALSE
% 41.59/41.76 (used 0 times, uses = {})
% 41.59/41.76
% 41.59/41.76 number of learnt formulas = 50
% 41.59/41.76
% 41.59/41.76
% 41.59/41.76 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.59/41.76
% 41.59/41.76 randbase = 1
%------------------------------------------------------------------------------