%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KRS015-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:07:16 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
% 0.06/0.11 % Problem : KRS015-1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 10:28:56 EDT 2022
% 0.12/0.33 % 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/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % SZS output start Refutation for /export/starexec/sandbox/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) | t2least-{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), t2least-{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), t2least-{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), t2least-{F}(V1) | t-{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), t2least-{F}(V1) | t-{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), t-{F}(V1,V2), t-{F}(V1,V3) | t2least-{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) | t1most-{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), t1most-{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), t1most-{F}(V1), t-{F}(V1,V2), t-{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) | t1most-{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) | t1most-{T}(V1), t-{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) | t1most-{T}(V1), t-{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_u4r4-{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}(V1), r-{F}(V1,V2) | s-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), e-{F}(V1), s-{F}(V1,V2) | r-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #16: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_exist-{F}(V0), e-{F}(V2), s-{F}(V2,V1) | d-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #17: 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 #18: input, references = 3, size of lhs = 7:
% 0.12/0.36 P_exist-{F}(V0), P_u4r3-{F}(V1,V2), P_u4r1-{F}(V1,V3), P_u4r2-{F}(V1,V4), c-{F}(V3), d-{F}(V4), r-{F}(V1,V5) | e-{T}(V1), s-{T}(V1,V2), r-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #19: input, references = 3, size of lhs = 9:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), P_u4r3-{F}(V1,V4), c-{F}(V2), d-{F}(V3), r-{F}(V1,V4), s-{F}(V1,V4), r-{F}(V1,V5) | e-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #20: input, references = 3, size of lhs = 6:
% 0.12/0.36 P_exist-{F}(V0), P_u4r2-{F}(V1,V2), P_u4r3-{F}(V1,V3), P_u4r1-{F}(V1,V4), c-{F}(V4), r-{F}(V1,V5) | e-{T}(V1), s-{T}(V1,V2), s-{T}(V1,V3), r-{T}(V1,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #21: input, references = 3, size of lhs = 8:
% 0.12/0.36 P_exist-{F}(V0), P_u4r2-{F}(V1,V2), P_u4r1-{F}(V1,V3), P_u4r3-{F}(V1,V4), c-{F}(V3), r-{F}(V1,V4), s-{F}(V1,V4), r-{F}(V1,V5) | e-{T}(V1), s-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #22: input, references = 3, size of lhs = 6:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r3-{F}(V1,V3), P_u4r2-{F}(V1,V4), d-{F}(V4), r-{F}(V1,V5) | e-{T}(V1), r-{T}(V1,V2), s-{T}(V1,V3), r-{T}(V1,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #23: input, references = 3, size of lhs = 8:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), P_u4r3-{F}(V1,V4), d-{F}(V3), r-{F}(V1,V4), s-{F}(V1,V4), r-{F}(V1,V5) | e-{T}(V1), r-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #24: input, references = 3, size of lhs = 5:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), P_u4r3-{F}(V1,V4), r-{F}(V1,V5) | e-{T}(V1), r-{T}(V1,V2), s-{T}(V1,V3), s-{T}(V1,V4), r-{T}(V1,V4)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #25: input, references = 3, size of lhs = 7:
% 0.12/0.36 P_exist-{F}(V0), P_u4r1-{F}(V1,V2), P_u4r2-{F}(V1,V3), P_u4r3-{F}(V1,V4), r-{F}(V1,V4), s-{F}(V1,V4), r-{F}(V1,V5) | e-{T}(V1), r-{T}(V1,V2), s-{T}(V1,V3)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #26: 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 #27: 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 #28: 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 #29: 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 #30: 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 #31: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u4r4-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #32: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_u4r3-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #33: 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 #34: input, references = 3, 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 number of initial rules = 35
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #35: 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 #36: 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 #37: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 s-{F}(V0,V1), s-{F}(V2,V3), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #38: 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 #39: 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 #40: 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 #41: 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 #42: 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 #43: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u4r4-{F}(V0,V1), P_u4r4-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #44: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_u4r3-{F}(V0,V1), P_u4r3-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #45: 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 #46: 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 number of simplifiers = 12
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #61: mergings( V2 == V3, V3 == V5; #58 ), references = 1, size of lhs = 5:
% 0.12/0.36 t1most-{F}(V0), t2least-{F}(V0), t-{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 #67: mergings( V2 == V3, V3 == V4, V4 == V5; #63 ), references = 1, size of lhs = 3:
% 0.12/0.36 t1most-{F}(V0), t2least-{F}(V0), P_exist-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #84: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #74 ), 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 #87: exists( #26, #85 ), 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/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 randbase = 1
%------------------------------------------------------------------------------