TSTP Solution File: KRS002-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:07:14 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS002-1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 10:21:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 GeoParameters:
% 0.12/0.36
% 0.12/0.36 tptp_input = 1
% 0.12/0.36 tptp_output = 0
% 0.12/0.36 nonempty = 1
% 0.12/0.36 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 RuleSystem INPUT:
% 0.12/0.36
% 0.12/0.36 Initial Rules:
% 0.12/0.36 #0: input, references = 4, size of lhs = 1:
% 0.12/0.36 P_exist-{F}(V0) | e-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #1: input, references = 4, size of lhs = 2:
% 0.12/0.36 P_exist-{F}(V0), c-{F}(V1) | s2least-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #2: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_exist-{F}(V0), s2least-{F}(V1) | c-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #3: input, references = 4, size of lhs = 5:
% 0.12/0.36 P_exist-{F}(V0), P_u1r2-{F}(V1,V2), P_u1r1-{F}(V1,V3), s2least-{F}(V1), equalish-{F}(V2,V3) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #4: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), P_u1r1-{F}(V1,V2), s2least-{F}(V1) | s-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #5: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), P_u1r2-{F}(V1,V2), s2least-{F}(V1) | s-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #6: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), s-{F}(V1,V2), s-{F}(V1,V3) | s2least-{T}(V1), equalish-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #7: input, references = 4, size of lhs = 2:
% 0.12/0.36 P_exist-{F}(V0), d-{F}(V1) | s1most-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #8: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_exist-{F}(V0), s1most-{F}(V1) | d-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #9: input, references = 4, size of lhs = 4:
% 0.12/0.36 P_exist-{F}(V0), s1most-{F}(V1), s-{F}(V1,V2), s-{F}(V1,V3) | equalish-{T}(V3,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #10: input, references = 3, size of lhs = 4:
% 0.12/0.36 P_exist-{F}(V0), P_u3r2-{F}(V1,V2), P_u3r1-{F}(V1,V3), equalish-{F}(V2,V3) | s1most-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #11: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_exist-{F}(V0), P_u3r1-{F}(V1,V2) | s1most-{T}(V1), s-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #12: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_exist-{F}(V0), P_u3r2-{F}(V1,V2) | s1most-{T}(V1), s-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #13: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), P_u4r2-{F}(V1,V2), e-{F}(V1) | r-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #14: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), e-{F}(V2), r-{F}(V2,V1) | d-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), e-{F}(V2), r-{F}(V2,V1) | c-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #16: input, references = 3, size of lhs = 5:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), c-{F}(V2), d-{F}(V2), r-{F}(V1,V3) | e-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #17: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), r-{F}(V1,V3) | e-{T}(V1), r-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #18: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_exist-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #19: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u1r2-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #20: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u1r1-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #21: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u3r2-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #22: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u3r1-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #23: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u4r2-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #24: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u4r1-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of initial rules = 25
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #25: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 e-{F}(V0), e-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #26: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 r-{F}(V0,V1), r-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #27: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), P_exist-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #28: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u1r2-{F}(V0,V1), P_u1r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #29: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u1r1-{F}(V0,V1), P_u1r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #30: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u3r2-{F}(V0,V1), P_u3r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #31: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u3r1-{F}(V0,V1), P_u3r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #32: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u4r2-{F}(V0,V1), P_u4r2-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #33: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u4r1-{F}(V0,V1), P_u4r1-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of simplifiers = 9
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #47: mergings( V2 == V3, V3 == V5; #44 ), references = 1, size of lhs = 5:
% 0.12/0.36 s1most-{F}(V0), s2least-{F}(V0), s-{F}(V0,V1), P_u1r2-{F}(V0,V1), P_exist-{F}(V2) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #53: mergings( V2 == V3, V3 == V4, V4 == V5; #49 ), references = 1, size of lhs = 3:
% 0.12/0.36 s1most-{F}(V0), s2least-{F}(V0), P_exist-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #68: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #59 ), references = 1, size of lhs = 2:
% 0.12/0.36 e-{F}(V0), P_exist-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #71: exists( #18, #69 ), references = 1, size of lhs = 0:
% 0.12/0.36 FALSE | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of learnt formulas = 4
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 randbase = 1
%------------------------------------------------------------------------------