TSTP Solution File: KRS010-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KRS010-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:07:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS010-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 10:22:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 GeoParameters:
% 0.19/0.44
% 0.19/0.44 tptp_input = 1
% 0.19/0.44 tptp_output = 0
% 0.19/0.44 nonempty = 1
% 0.19/0.44 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 RuleSystem INPUT:
% 0.19/0.44
% 0.19/0.44 Initial Rules:
% 0.19/0.44 #0: input, references = 4, size of lhs = 1:
% 0.19/0.44 P_exist-{F}(V0) | e-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #1: input, references = 3, size of lhs = 2:
% 0.19/0.44 P_exist-{F}(V0), f-{F}(V0) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #2: input, references = 9, size of lhs = 2:
% 0.19/0.44 P_exist-{F}(V0), a-{F}(V1) | c-{T}(V1), d-{T}(V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #3: input, references = 3, size of lhs = 2:
% 0.19/0.44 P_exist-{F}(V0), d-{F}(V1) | a-{T}(V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #4: input, references = 3, size of lhs = 2:
% 0.19/0.44 P_exist-{F}(V0), c-{F}(V1) | a-{T}(V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #5: input, references = 6, size of lhs = 6:
% 0.19/0.44 P_exist-{F}(V0), c-{F}(V1), c-{F}(V2), e-{F}(V3), r-{F}(V3,V2), r-{F}(V3,V1) | equalish-{T}(V2,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #6: input, references = 4, size of lhs = 2:
% 0.19/0.44 P_exist-{F}(V0), e-{F}(V1) | r3least-{T}(V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #7: input, references = 6, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), e-{F}(V2), r-{F}(V2,V1) | a-{T}(V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #8: input, references = 3, size of lhs = 7:
% 0.19/0.44 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), P_u1r3-{F}(V1,V3), P_u1r2-{F}(V1,V4), a-{F}(V2), r3least-{F}(V1), equalish-{F}(V3,V4) | e-{T}(V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #9: input, references = 3, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u1r2-{F}(V1,V2), P_u1r1-{F}(V1,V3), a-{F}(V3), r3least-{F}(V1) | e-{T}(V1), c-{T}(V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #10: input, references = 3, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u1r3-{F}(V1,V2), P_u1r1-{F}(V1,V3), a-{F}(V3), r3least-{F}(V1) | e-{T}(V1), c-{T}(V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #11: input, references = 3, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u1r2-{F}(V1,V2), P_u1r1-{F}(V1,V3), a-{F}(V3), r3least-{F}(V1) | e-{T}(V1), r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #12: input, references = 3, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u1r3-{F}(V1,V2), P_u1r1-{F}(V1,V3), a-{F}(V3), r3least-{F}(V1) | e-{T}(V1), r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #13: input, references = 3, size of lhs = 6:
% 0.19/0.44 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), P_u1r3-{F}(V1,V3), P_u1r2-{F}(V1,V4), r3least-{F}(V1), equalish-{F}(V3,V4) | e-{T}(V1), r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #14: input, references = 3, size of lhs = 4:
% 0.19/0.44 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), P_u1r2-{F}(V1,V3), r3least-{F}(V1) | e-{T}(V1), r-{T}(V1,V2), c-{T}(V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #15: input, references = 3, size of lhs = 4:
% 0.19/0.44 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), P_u1r3-{F}(V1,V3), r3least-{F}(V1) | e-{T}(V1), r-{T}(V1,V2), c-{T}(V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #16: input, references = 3, size of lhs = 4:
% 0.19/0.44 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), P_u1r2-{F}(V1,V3), r3least-{F}(V1) | e-{T}(V1), r-{T}(V1,V2), r-{T}(V1,V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #17: input, references = 3, size of lhs = 4:
% 0.19/0.44 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), P_u1r3-{F}(V1,V3), r3least-{F}(V1) | e-{T}(V1), r-{T}(V1,V2), r-{T}(V1,V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #18: input, references = 5, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u2r2-{F}(V1,V2), P_u2r1-{F}(V1,V3), r3least-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #19: input, references = 6, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u2r3-{F}(V1,V2), P_u2r1-{F}(V1,V3), r3least-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #20: input, references = 5, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u2r3-{F}(V1,V2), P_u2r2-{F}(V1,V3), r3least-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #21: input, references = 4, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u2r1-{F}(V1,V2), r3least-{F}(V1) | r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #22: input, references = 4, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u2r2-{F}(V1,V2), r3least-{F}(V1) | r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #23: input, references = 4, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u2r3-{F}(V1,V2), r3least-{F}(V1) | r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #24: input, references = 3, size of lhs = 4:
% 0.19/0.44 P_exist-{F}(V0), r-{F}(V1,V2), r-{F}(V1,V3), r-{F}(V1,V4) | r3least-{T}(V1), equalish-{T}(V3,V2), equalish-{T}(V4,V3), equalish-{T}(V4,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #25: input, references = 3, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u3r1-{F}(V1,V2), f-{F}(V1) | d-{T}(V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #26: input, references = 3, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u3r2-{F}(V1,V2), f-{F}(V1) | d-{T}(V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #27: input, references = 3, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), P_u3r2-{F}(V1,V2), P_u3r1-{F}(V1,V3), f-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #28: input, references = 3, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u3r1-{F}(V1,V2), f-{F}(V1) | r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #29: input, references = 3, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_u3r2-{F}(V1,V2), f-{F}(V1) | r-{T}(V1,V2)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #30: input, references = 4, size of lhs = 5:
% 0.19/0.44 P_exist-{F}(V0), d-{F}(V1), d-{F}(V2), r-{F}(V3,V2), r-{F}(V3,V1) | equalish-{T}(V2,V1), f-{T}(V3)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #31: input, references = 4, size of lhs = 0:
% 0.19/0.44 FALSE | EXISTS V0: P_exist-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #32: input, references = 3, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u1r1-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #33: input, references = 3, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u1r3-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #34: input, references = 3, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u1r2-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #35: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u2r2-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #36: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u2r1-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #37: input, references = 4, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u2r3-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #38: input, references = 3, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u3r1-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #39: input, references = 3, size of lhs = 1:
% 0.19/0.44 #-{F} V0 | EXISTS V1: P_u3r2-{T}(V0,V1)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of initial rules = 40
% 0.19/0.44
% 0.19/0.44 Simplifiers:
% 0.19/0.44 #40: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 e-{F}(V0), e-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 f-{F}(V0), f-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 r-{F}(V0,V1), r-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 r3least-{F}(V0), r3least-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_exist-{F}(V0), P_exist-{F}(V1), V0 == V1 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u1r1-{F}(V0,V1), P_u1r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u1r3-{F}(V0,V1), P_u1r3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u1r2-{F}(V0,V1), P_u1r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u2r2-{F}(V0,V1), P_u2r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u2r1-{F}(V0,V1), P_u2r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u2r3-{F}(V0,V1), P_u2r3-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u3r1-{F}(V0,V1), P_u3r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #52: unsound, references = 3, size of lhs = 3:
% 0.19/0.44 P_u3r2-{F}(V0,V1), P_u3r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of simplifiers = 13
% 0.19/0.44
% 0.19/0.44 Learnt:
% 0.19/0.44 #55: mergings( V0 == V3; #53 ), references = 5, size of lhs = 5:
% 0.19/0.44 d-{F}(V0), d-{F}(V1), P_exist-{F}(V2), r-{F}(V2,V1), r-{F}(V2,V0) | equalish-{T}(V1,V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #60: mergings( V0 == V2, V2 == V3; #57 ), references = 1, size of lhs = 6:
% 0.19/0.44 a-{F}(V0), P_exist-{F}(V1), r-{F}(V1,V0), r3least-{F}(V2), P_u2r3-{F}(V2,V0), P_u2r1-{F}(V2,V0) | c-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #67: mergings( V0 == V3, V3 == V4; #64 ), references = 1, size of lhs = 8:
% 0.19/0.44 a-{F}(V0), d-{F}(V1), P_exist-{F}(V2), r-{F}(V2,V0), r-{F}(V2,V1), r3least-{F}(V3), P_u2r3-{F}(V3,V0), P_u2r2-{F}(V3,V1) | c-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #72: mergings( V0 == V3, V3 == V4; #69 ), references = 1, size of lhs = 8:
% 0.19/0.44 a-{F}(V0), d-{F}(V1), P_exist-{F}(V2), r-{F}(V2,V1), r-{F}(V2,V0), r3least-{F}(V3), P_u2r2-{F}(V3,V1), P_u2r1-{F}(V3,V0) | c-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #88: mergings( V4 == V9, V9 == V13, V6 == V11, V11 == V15, V0 == V2, V2 == V5, V5 == V7, V7 == V13, V13 == V10, V10 == V12, V12 == V14; #76 ), references = 1, size of lhs = 12:
% 0.19/0.44 a-{F}(V0), a-{F}(V1), a-{F}(V2), e-{F}(V3), r-{F}(V3,V0), r-{F}(V3,V1), r-{F}(V3,V2), P_exist-{F}(V3), r3least-{F}(V4), P_u2r2-{F}(V4,V0), P_u2r3-{F}(V4,V1), P_u2r1-{F}(V4,V2) | c-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #93: mergings( V0 == V2, V2 == V5; #90 ), references = 1, size of lhs = 9:
% 0.19/0.44 a-{F}(V0), c-{F}(V1), e-{F}(V2), r-{F}(V2,V0), r-{F}(V2,V1), P_exist-{F}(V3), r3least-{F}(V4), P_u2r3-{F}(V4,V0), P_u2r2-{F}(V4,V1) | d-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #98: mergings( V0 == V2, V2 == V5; #95 ), references = 1, size of lhs = 9:
% 0.19/0.44 a-{F}(V0), c-{F}(V1), e-{F}(V2), r-{F}(V2,V1), r-{F}(V2,V0), P_exist-{F}(V3), r3least-{F}(V4), P_u2r2-{F}(V4,V1), P_u2r1-{F}(V4,V0) | d-{T}(V0)
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #127: mergings( V0 == V21, V21 == V10, V10 == V12, V12 == V23, V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V23, V23 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V9 == V19; #105 ), references = 1, size of lhs = 9:
% 0.19/0.44 a-{F}(V0), a-{F}(V1), e-{F}(V2), r-{F}(V2,V0), r-{F}(V2,V1), r3least-{F}(V2), P_u2r2-{F}(V2,V0), P_u2r1-{F}(V2,V1), P_exist-{F}(V2) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #149: mergings( V2 == V3, V3 == V4, V4 == V0, V0 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20; #130 ), references = 1, size of lhs = 6:
% 0.19/0.44 e-{F}(V0), r3least-{F}(V0), P_exist-{F}(V0), a-{F}(V1), r-{F}(V0,V1), P_u2r2-{F}(V0,V1) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #173: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V0, V0 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21; #152 ), references = 1, size of lhs = 3:
% 0.19/0.44 e-{F}(V0), r3least-{F}(V0), P_exist-{F}(V0) | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 #177: exists( #31, #175 ), references = 1, size of lhs = 0:
% 0.19/0.44 FALSE | FALSE
% 0.19/0.44 (used 0 times, uses = {})
% 0.19/0.44
% 0.19/0.44 number of learnt formulas = 11
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 randbase = 1
%------------------------------------------------------------------------------