TSTP Solution File: KRS013-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KRS013-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS013-1 : TPTP v8.1.0. Released v2.0.0.
% 0.13/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 10:37:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 GeoParameters:
% 0.19/0.52
% 0.19/0.52 tptp_input = 1
% 0.19/0.52 tptp_output = 0
% 0.19/0.52 nonempty = 1
% 0.19/0.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 RuleSystem INPUT:
% 0.19/0.52
% 0.19/0.52 Initial Rules:
% 0.19/0.52 #0: input, references = 4, size of lhs = 1:
% 0.19/0.52 P_exist-{F}(V0) | e-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #1: input, references = 13, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), f-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #2: input, references = 8, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), c-{F}(V1) | t2least-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #3: input, references = 3, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), t2least-{F}(V1) | c-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #4: input, references = 4, size of lhs = 5:
% 0.19/0.52 P_exist-{F}(V0), P_u1r2-{F}(V1,V2), P_u1r1-{F}(V1,V3), t2least-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #5: input, references = 7, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), t2least-{F}(V1) | t-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #6: input, references = 7, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u1r2-{F}(V1,V2), t2least-{F}(V1) | t-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #7: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), t-{F}(V1,V2), t-{F}(V1,V3) | t2least-{T}(V1), equalish-{T}(V3,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #8: input, references = 5, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), d-{F}(V1) | t1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #9: input, references = 3, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), t1most-{F}(V1) | d-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #10: input, references = 7, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), t1most-{F}(V1), t-{F}(V1,V2), t-{F}(V1,V3) | equalish-{T}(V3,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #11: input, references = 3, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), P_u3r2-{F}(V1,V2), P_u3r1-{F}(V1,V3), equalish-{F}(V2,V3) | t1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #12: input, references = 3, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), P_u3r1-{F}(V1,V2) | t1most-{T}(V1), t-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #13: input, references = 4, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), P_u3r2-{F}(V1,V2) | t1most-{T}(V1), t-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #14: input, references = 5, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), e-{F}(V2), r-{F}(V2,V1) | d-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #15: input, references = 8, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), s2least-{F}(V1), e-{F}(V2), r-{F}(V2,V1) | c-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #16: input, references = 3, size of lhs = 5:
% 0.19/0.52 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), c-{F}(V2), d-{F}(V3) | e-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #17: input, references = 3, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), P_u4r2-{F}(V1,V2), P_u4r1-{F}(V1,V3), c-{F}(V3) | e-{T}(V1), r-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #18: input, references = 3, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), d-{F}(V3) | e-{T}(V1), s2least-{T}(V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #19: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3) | e-{T}(V1), s2least-{T}(V2), r-{T}(V1,V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #20: input, references = 3, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), d-{F}(V3) | e-{T}(V1), r-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #21: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3) | e-{T}(V1), r-{T}(V1,V2), r-{T}(V1,V3)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #22: input, references = 6, size of lhs = 5:
% 0.19/0.52 P_exist-{F}(V0), P_u5r2-{F}(V1,V2), P_u5r1-{F}(V1,V3), s2least-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #23: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u5r1-{F}(V1,V2), s2least-{F}(V1) | s-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #24: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u5r2-{F}(V1,V2), s2least-{F}(V1) | s-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #25: input, references = 6, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), s-{F}(V1,V2), s-{F}(V1,V3) | s2least-{T}(V1), equalish-{T}(V3,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #26: input, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), f-{F}(V2), r-{F}(V2,V1) | s1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #27: input, references = 10, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u6r1-{F}(V1,V2), s1most-{F}(V2) | f-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #28: input, references = 8, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), P_u6r1-{F}(V1,V2) | f-{T}(V1), r-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #29: input, references = 3, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), s1most-{F}(V1), s-{F}(V1,V2), s-{F}(V1,V3) | equalish-{T}(V3,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #30: input, references = 6, size of lhs = 4:
% 0.19/0.52 P_exist-{F}(V0), P_u7r2-{F}(V1,V2), P_u7r1-{F}(V1,V3), equalish-{F}(V2,V3) | s1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #31: input, references = 4, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), P_u7r1-{F}(V1,V2) | s1most-{T}(V1), s-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #32: input, references = 6, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), P_u7r2-{F}(V1,V2) | s1most-{T}(V1), s-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #33: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_exist-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #34: input, references = 4, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u1r2-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #35: input, references = 4, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u1r1-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #36: input, references = 3, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u3r2-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #37: input, references = 3, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u3r1-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #38: input, references = 3, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u4r1-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #39: input, references = 3, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u4r2-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #40: input, references = 3, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u5r2-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #41: input, references = 3, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u5r1-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #42: input, references = 4, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u6r1-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #43: input, references = 4, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u7r2-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #44: input, references = 4, size of lhs = 1:
% 0.19/0.52 #-{F} V0 | EXISTS V1: P_u7r1-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of initial rules = 45
% 0.19/0.52
% 0.19/0.52 Simplifiers:
% 0.19/0.52 #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_exist-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u1r2-{F}(V0,V1), P_u1r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u1r1-{F}(V0,V1), P_u1r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u3r2-{F}(V0,V1), P_u3r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u3r1-{F}(V0,V1), P_u3r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u4r1-{F}(V0,V1), P_u4r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u4r2-{F}(V0,V1), P_u4r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #52: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u5r2-{F}(V0,V1), P_u5r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #53: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u5r1-{F}(V0,V1), P_u5r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #54: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u6r1-{F}(V0,V1), P_u6r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #55: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u7r2-{F}(V0,V1), P_u7r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #56: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_u7r1-{F}(V0,V1), P_u7r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of simplifiers = 12
% 0.19/0.52
% 0.19/0.52 Learnt:
% 0.19/0.52 #69: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10; #62 ), references = 3, size of lhs = 8:
% 0.19/0.52 e-{F}(V0), P_u6r1-{F}(V0,V1), t-{F}(V1,V2), t-{F}(V1,V3), P_exist-{F}(V4), P_u6r1-{F}(V4,V5), P_u7r2-{F}(V5,V3), P_u7r1-{F}(V5,V2) | f-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #81: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V1 == V11; #71 ), references = 1, size of lhs = 6:
% 0.19/0.52 e-{F}(V0), P_exist-{F}(V0), P_u6r1-{F}(V0,V1), P_u3r2-{F}(V1,V2), P_u7r2-{F}(V1,V2), P_u7r1-{F}(V1,V2) | t1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #92: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8; #86 ), references = 1, size of lhs = 9:
% 0.19/0.52 s2least-{F}(V0), t1most-{F}(V0), e-{F}(V1), P_u6r1-{F}(V1,V0), P_u1r2-{F}(V0,V2), P_exist-{F}(V3), s2least-{F}(V4), P_u5r2-{F}(V4,V2), P_u5r1-{F}(V4,V2) | f-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #104: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V1 == V11; #97 ), references = 2, size of lhs = 10:
% 0.19/0.52 e-{F}(V0), r-{F}(V0,V1), s-{F}(V1,V2), s-{F}(V1,V3), P_u1r1-{F}(V1,V4), P_u7r2-{F}(V1,V4), P_u7r1-{F}(V1,V4), e-{F}(V5), P_exist-{F}(V5), P_u6r1-{F}(V5,V1) | equalish-{T}(V3,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #116: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V1 == V11, V2 == V8; #106 ), references = 1, size of lhs = 11:
% 0.19/0.52 e-{F}(V0), r-{F}(V0,V1), P_u1r1-{F}(V1,V2), P_u7r2-{F}(V1,V2), P_u7r1-{F}(V1,V2), e-{F}(V3), P_u6r1-{F}(V3,V1), P_exist-{F}(V3), s2least-{F}(V4), P_u5r2-{F}(V4,V2), P_u5r1-{F}(V4,V2) | s1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #132: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V16, V12 == V2, V6 == V9; #119 ), references = 1, size of lhs = 11:
% 0.19/0.52 e-{F}(V0), P_u6r1-{F}(V0,V1), P_u1r1-{F}(V1,V2), P_u7r2-{F}(V1,V2), P_u7r1-{F}(V1,V2), e-{F}(V3), P_exist-{F}(V3), P_u6r1-{F}(V3,V1), s2least-{F}(V4), P_u5r2-{F}(V4,V2), P_u5r1-{F}(V4,V2) | f-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #144: mergings( V0 == V5, V5 == V6, V6 == V7, V7 == V8, V1 == V9, V4 == V2; #137 ), references = 1, size of lhs = 8:
% 0.19/0.52 e-{F}(V0), r-{F}(V0,V1), P_u1r1-{F}(V1,V2), P_u7r2-{F}(V1,V2), P_u7r1-{F}(V1,V2), e-{F}(V3), P_exist-{F}(V3), P_u6r1-{F}(V3,V1) | s1most-{T}(V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #157: mergings( V0 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V10 == V2, V5 == V4; #147 ), references = 1, size of lhs = 8:
% 0.19/0.52 e-{F}(V0), P_u6r1-{F}(V0,V1), P_u1r1-{F}(V1,V2), P_u7r2-{F}(V1,V2), P_u7r1-{F}(V1,V2), e-{F}(V3), P_exist-{F}(V3), P_u6r1-{F}(V3,V1) | f-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #161: mergings( V0 == V1; #159 ), references = 2, size of lhs = 2:
% 0.19/0.52 P_exist-{F}(V0), P_u6r1-{F}(V0,V1) | r-{T}(V0,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #166: mergings( V0 == V3, V3 == V4; #163 ), references = 1, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u6r1-{F}(V0,V1), P_u7r2-{F}(V1,V2) | s-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #171: mergings( V0 == V3, V3 == V4; #168 ), references = 2, size of lhs = 3:
% 0.19/0.52 P_exist-{F}(V0), P_u6r1-{F}(V0,V1), P_u7r1-{F}(V1,V2) | s-{T}(V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #185: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V1 == V13; #177 ), references = 1, size of lhs = 11:
% 0.19/0.52 e-{F}(V0), r-{F}(V0,V1), s-{F}(V1,V2), s-{F}(V1,V3), P_u1r2-{F}(V1,V4), P_u7r2-{F}(V1,V4), P_u1r1-{F}(V1,V5), P_u7r1-{F}(V1,V5), e-{F}(V6), P_exist-{F}(V6), P_u6r1-{F}(V6,V1) | equalish-{T}(V3,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #208: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #200 ), references = 2, size of lhs = 8:
% 0.19/0.52 t1most-{F}(V0), s-{F}(V0,V1), s-{F}(V0,V2), e-{F}(V3), r-{F}(V3,V0), P_exist-{F}(V4), P_u1r2-{F}(V0,V5), P_u1r1-{F}(V0,V6) | equalish-{T}(V2,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #215: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12; #201 ), references = 1, size of lhs = 10:
% 0.19/0.52 t1most-{F}(V0), s-{F}(V0,V1), s-{F}(V0,V2), e-{F}(V3), r-{F}(V3,V0), P_u1r2-{F}(V0,V4), P_u5r2-{F}(V0,V4), P_u1r1-{F}(V0,V5), P_u5r1-{F}(V0,V5), P_exist-{F}(V6) | equalish-{T}(V2,V1)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #227: mergings( V2 == V5, V5 == V8, V8 == V9, V9 == V10; #222 ), references = 1, size of lhs = 9:
% 0.19/0.52 t1most-{F}(V0), s-{F}(V0,V1), P_u7r2-{F}(V0,V1), e-{F}(V2), r-{F}(V2,V0), P_u1r2-{F}(V0,V3), P_u1r1-{F}(V0,V4), P_exist-{F}(V5), P_u6r1-{F}(V5,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #237: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12; #229 ), references = 2, size of lhs = 7:
% 0.19/0.52 t1most-{F}(V0), e-{F}(V1), r-{F}(V1,V0), P_u1r2-{F}(V0,V2), P_u1r1-{F}(V0,V3), P_exist-{F}(V4), P_u6r1-{F}(V4,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #242: exists( #35, #237 ), references = 1, size of lhs = 6:
% 0.19/0.52 t1most-{F}(V0), e-{F}(V1), r-{F}(V1,V0), P_u1r2-{F}(V0,V2), P_exist-{F}(V3), P_u6r1-{F}(V3,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #244: exists( #34, #241 ), references = 1, size of lhs = 5:
% 0.19/0.52 t1most-{F}(V0), e-{F}(V1), r-{F}(V1,V0), P_exist-{F}(V2), P_u6r1-{F}(V2,V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #251: mergings( V0 == V2, V2 == V3; #248 ), references = 1, size of lhs = 2:
% 0.19/0.52 e-{F}(V0), P_exist-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #254: exists( #33, #252 ), references = 1, size of lhs = 0:
% 0.19/0.52 FALSE | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of learnt formulas = 20
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 randbase = 1
%------------------------------------------------------------------------------