TSTP Solution File: KLE085+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 1.32s 1.48s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n019.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 16:58:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.32/1.48 GeoParameters:
% 1.32/1.48
% 1.32/1.48 tptp_input = 1
% 1.32/1.48 tptp_output = 0
% 1.32/1.48 nonempty = 1
% 1.32/1.48 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/1.48 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.32/1.48
% 1.32/1.48
% 1.32/1.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/1.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/1.48
% 1.32/1.48 RuleSystem INPUT:
% 1.32/1.48
% 1.32/1.48 Initial Rules:
% 1.32/1.48 #0: input, references = 4, size of lhs = 3:
% 1.32/1.48 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #1: input, references = 4, size of lhs = 5:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #2: input, references = 5, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #3: input, references = 4, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #4: input, references = 4, size of lhs = 6:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #5: input, references = 4, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #6: input, references = 4, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #7: input, references = 5, size of lhs = 8:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #8: input, references = 3, size of lhs = 8:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #9: input, references = 4, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #10: input, references = 4, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #11: input, references = 3, size of lhs = 5:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #12: input, references = 3, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #13: input, references = 6, size of lhs = 5:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #14: input, references = 3, size of lhs = 10:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #15: input, references = 5, size of lhs = 6:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #16: input, references = 5, size of lhs = 6:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #17: input, references = 4, size of lhs = 5:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #18: input, references = 3, size of lhs = 10:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #19: input, references = 4, size of lhs = 6:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #20: input, references = 5, size of lhs = 6:
% 1.32/1.48 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
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #21: input, references = 4, size of lhs = 2:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V1,V2)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #22: input, references = 4, size of lhs = 3:
% 1.32/1.48 pppp0-{F}(V0,V1), P_domain-{F}(V1,V2), P_addition-{F}(V2,V0,V0) | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #23: input, references = 9, size of lhs = 2:
% 1.32/1.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #24: input, references = 4, size of lhs = 0:
% 1.32/1.48 FALSE | EXISTS V0: P_zero-{T}(V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #25: input, references = 9, size of lhs = 2:
% 1.32/1.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #26: input, references = 4, size of lhs = 0:
% 1.32/1.48 FALSE | EXISTS V0: P_one-{T}(V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #27: input, references = 7, size of lhs = 1:
% 1.32/1.48 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #28: input, references = 6, size of lhs = 1:
% 1.32/1.48 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #29: input, references = 5, size of lhs = 1:
% 1.32/1.48 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #30: input, references = 5, size of lhs = 1:
% 1.32/1.48 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 number of initial rules = 31
% 1.32/1.48
% 1.32/1.48 Simplifiers:
% 1.32/1.48 #31: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #32: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #33: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #34: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #35: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #36: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #37: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #38: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #39: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #40: unsound, references = 3, size of lhs = 3:
% 1.32/1.48 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 number of simplifiers = 10
% 1.32/1.48
% 1.32/1.48 Learnt:
% 1.32/1.48 #42: exists( #23, #19 ), references = 2, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #45: exists( #23, #3 ), references = 2, size of lhs = 2:
% 1.32/1.48 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #47: exists( #27, #16 ), references = 3, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #49: exists( #29, #20 ), references = 2, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #51: exists( #28, #16 ), references = 1, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #53: exists( #23, #0 ), references = 1, size of lhs = 1:
% 1.32/1.48 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #55: exists( #25, #5 ), references = 3, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #58: exists( #30, #20 ), references = 1, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #67: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #62 ), references = 1, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1) | P_domain-{T}(V2,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #73: exists( #25, #9 ), references = 1, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #81: mergings( V2 == V4, V4 == V6, V3 == V5; #77 ), references = 1, size of lhs = 4:
% 1.32/1.48 P_one-{F}(V0), P_zero-{F}(V1), P_coantidomain-{F}(V2,V1), P_coantidomain-{F}(V3,V1) | P_codomain-{T}(V2,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #84: exists( #23, #2 ), references = 3, size of lhs = 2:
% 1.32/1.48 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #85: exists( #23, #7 ), references = 1, size of lhs = 6:
% 1.32/1.48 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)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #91: exists( #25, #10 ), references = 1, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #96: mergings( V0 == V2; #94 ), references = 1, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0) | P_antidomain-{T}(V0,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #100: exists( #25, #13 ), references = 1, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #109: mergings( V3 == V4; #107 ), references = 1, size of lhs = 5:
% 1.32/1.48 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)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #111: exists( #23, #1 ), references = 2, size of lhs = 3:
% 1.32/1.48 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #116: mergings( V2 == V3, V0 == V4; #113 ), references = 1, size of lhs = 2:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #126: exists( #25, #6 ), references = 2, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #127: exists( #25, #4 ), references = 1, size of lhs = 4:
% 1.32/1.48 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)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #135: mergings( V2 == V3, V0 == V4; #132 ), references = 1, size of lhs = 2:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #152: exists( #23, #15 ), references = 2, size of lhs = 4:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #164: mergings( V2 == V3, V3 == V5, V4 == V6; #160 ), references = 1, size of lhs = 5:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V1,V2), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V4,V3) | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #169: mergings( V2 == V3, V3 == V5, V4 == V6; #165 ), references = 1, size of lhs = 3:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V1,V2) | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #175: mergings( V0 == V3, V3 == V4, V4 == V6, V5 == V1; #170 ), references = 1, size of lhs = 2:
% 1.32/1.48 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #180: mergings( V1 == V2, V2 == V3, V3 == V4; #176 ), references = 1, size of lhs = 1:
% 1.32/1.48 P_zero-{F}(V0) | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 #182: exists( #24, #176 ), references = 1, size of lhs = 0:
% 1.32/1.48 FALSE | FALSE
% 1.32/1.48 (used 0 times, uses = {})
% 1.32/1.48
% 1.32/1.48 number of learnt formulas = 28
% 1.32/1.48
% 1.32/1.48
% 1.32/1.48 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.32/1.48
% 1.32/1.48 randbase = 1
%------------------------------------------------------------------------------