TSTP Solution File: PUZ035-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:14:21 EDT 2022
% Result : Unsatisfiable 0.44s 2.34s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.81 % Problem : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.11/1.82 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/2.03 % Computer : n014.cluster.edu
% 0.13/2.03 % Model : x86_64 x86_64
% 0.13/2.03 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/2.03 % Memory : 8042.1875MB
% 0.13/2.03 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/2.03 % CPULimit : 300
% 0.13/2.03 % WCLimit : 300
% 0.13/2.03 % DateTime : Fri Jul 22 07:07:01 EDT 2022
% 0.13/2.03 % CPUTime :
% 0.44/2.34 GeoParameters:
% 0.44/2.34
% 0.44/2.34 tptp_input = 1
% 0.44/2.34 tptp_output = 0
% 0.44/2.34 nonempty = 1
% 0.44/2.34 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/2.34 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.44/2.34
% 0.44/2.34
% 0.44/2.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/2.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/2.34
% 0.44/2.34 RuleSystem INPUT:
% 0.44/2.34
% 0.44/2.34 Initial Rules:
% 0.44/2.34 #0: input, references = 6, size of lhs = 4:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V4) | truth-{T}(V3), truth-{T}(V4)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #1: input, references = 5, size of lhs = 6:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V4), truth-{F}(V3), truth-{F}(V4) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #2: input, references = 3, size of lhs = 5:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V3,V0,V4), truth-{F}(V4), says-{F}(V3,V2) | truth-{T}(V2)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #3: input, references = 3, size of lhs = 5:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_isa-{F}(V3,V0,V4), says-{F}(V3,V2) | truth-{T}(V4)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #4: input, references = 5, size of lhs = 4:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_or-{F}(V3,V2,V4), truth-{F}(V4) | truth-{T}(V2), truth-{T}(V3)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #5: input, references = 7, size of lhs = 4:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_or-{F}(V2,V3,V4) | truth-{T}(V4)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #6: input, references = 3, size of lhs = 4:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_or-{F}(V3,V2,V4) | truth-{T}(V4)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #7: input, references = 6, size of lhs = 3:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_not-{F}(V2,V3) | truth-{T}(V2), truth-{T}(V3)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #8: input, references = 3, size of lhs = 5:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_not-{F}(V2,V3), truth-{F}(V2), truth-{F}(V3) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #9: input, references = 3, size of lhs = 8:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), P_isa-{F}(V4,V0,V5), P_or-{F}(V3,V5,V6), P_not-{F}(V6,V7) | says-{T}(V2,V7)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #10: input, references = 4, size of lhs = 12:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), P_isa-{F}(V4,V0,V5), P_or-{F}(V3,V5,V6), P_not-{F}(V6,V7), P_isa-{F}(V2,V8,V9), truth-{F}(V9), P_isa-{F}(V4,V10,V11), truth-{F}(V11) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #11: input, references = 10, size of lhs = 2:
% 0.44/2.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_isa-{T}(V0,V1,V2)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #12: input, references = 4, size of lhs = 0:
% 0.44/2.34 FALSE | EXISTS V0: P_knight-{T}(V0)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #13: input, references = 4, size of lhs = 0:
% 0.44/2.34 FALSE | EXISTS V0: P_knave-{T}(V0)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #14: input, references = 4, size of lhs = 2:
% 0.44/2.34 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #15: input, references = 4, size of lhs = 1:
% 0.44/2.34 #-{F} V0 | EXISTS V1: P_not-{T}(V0,V1)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #16: input, references = 4, size of lhs = 0:
% 0.44/2.34 FALSE | EXISTS V0: P_asked-{T}(V0)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #17: input, references = 4, size of lhs = 0:
% 0.44/2.34 FALSE | EXISTS V0: P_other-{T}(V0)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 number of initial rules = 18
% 0.44/2.34
% 0.44/2.34 Simplifiers:
% 0.44/2.34 #18: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 says-{F}(V0,V1), says-{F}(V2,V3), V0 == V2 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #19: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_isa-{F}(V0,V1,V2), P_isa-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #20: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_knight-{F}(V0), P_knight-{F}(V1), V0 == V1 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #21: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_knave-{F}(V0), P_knave-{F}(V1), V0 == V1 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #22: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #23: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_not-{F}(V0,V1), P_not-{F}(V0,V3), V1 == V3 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #24: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_asked-{F}(V0), P_asked-{F}(V1), V0 == V1 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #25: unsound, references = 3, size of lhs = 3:
% 0.44/2.34 P_other-{F}(V0), P_other-{F}(V1), V0 == V1 | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 number of simplifiers = 8
% 0.44/2.34
% 0.44/2.34 Learnt:
% 0.44/2.34 #31: mergings( V0 == V4, V1 == V5, V2 == V3; #26 ), references = 1, size of lhs = 3:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_not-{F}(V2,V2) | truth-{T}(V2)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #34: mergings( V0 == V4, V1 == V5; #27 ), references = 1, size of lhs = 5:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V3), P_not-{F}(V3,V4) | truth-{T}(V4)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #41: mergings( V0 == V5, V1 == V6; #36 ), references = 1, size of lhs = 6:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V4), P_isa-{F}(V5,V0,V3), P_isa-{F}(V5,V1,V3) | truth-{T}(V4)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #44: mergings( V0 == V5, V1 == V6; #37 ), references = 3, size of lhs = 6:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_not-{F}(V3,V2), P_isa-{F}(V4,V0,V3), P_isa-{F}(V4,V1,V5) | truth-{T}(V5)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #49: exists( #11, #45 ), references = 1, size of lhs = 2:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V0) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #58: mergings( V0 == V5, V1 == V6; #54 ), references = 1, size of lhs = 6:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), truth-{F}(V3), P_not-{F}(V3,V4), P_or-{F}(V5,V4,V0) | truth-{T}(V5)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #61: exists( #15, #10 ), references = 1, size of lhs = 11:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), P_isa-{F}(V4,V0,V5), P_or-{F}(V3,V5,V6), truth-{F}(V7), P_isa-{F}(V2,V8,V7), truth-{F}(V9), P_isa-{F}(V4,V10,V9) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #63: exists( #14, #60 ), references = 2, size of lhs = 10:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), P_isa-{F}(V4,V0,V5), truth-{F}(V6), P_isa-{F}(V2,V7,V6), truth-{F}(V8), P_isa-{F}(V4,V9,V8) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #65: exists( #11, #62 ), references = 2, size of lhs = 9:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), truth-{F}(V5), P_isa-{F}(V2,V6,V5), truth-{F}(V7), P_isa-{F}(V3,V8,V7) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #85: mergings( V0 == V5, V1 == V6; #81 ), references = 1, size of lhs = 10:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), truth-{F}(V5), P_isa-{F}(V3,V6,V5), P_isa-{F}(V7,V0,V8), P_isa-{F}(V7,V1,V9), P_isa-{F}(V2,V10,V8) | truth-{T}(V9)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #88: mergings( V0 == V5, V1 == V6; #82 ), references = 1, size of lhs = 11:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), P_isa-{F}(V4,V0,V5), truth-{F}(V6), P_isa-{F}(V4,V7,V6), P_isa-{F}(V8,V0,V9), P_isa-{F}(V8,V1,V10), P_isa-{F}(V2,V11,V9) | truth-{T}(V10)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #100: mergings( V4 == V1, V3 == V5, V5 == V10, V6 == V11, V7 == V12; #93 ), references = 1, size of lhs = 11:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_other-{F}(V4), P_isa-{F}(V4,V5,V0), P_isa-{F}(V4,V1,V6), truth-{F}(V7), P_isa-{F}(V4,V8,V7), P_isa-{F}(V3,V2,V9), P_isa-{F}(V3,V10,V9) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #108: mergings( V1 == V4, V4 == V10, V3 == V5, V5 == V11, V0 == V12, V6 == V13, V7 == V14; #92 ), references = 1, size of lhs = 11:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_other-{F}(V4), P_isa-{F}(V4,V5,V0), P_isa-{F}(V4,V1,V6), truth-{F}(V7), P_isa-{F}(V4,V8,V7), P_isa-{F}(V3,V2,V9), P_isa-{F}(V3,V10,V9) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #113: mergings( V1 == V4, V4 == V10, V3 == V5, V5 == V11; #94 ), references = 1, size of lhs = 11:
% 0.44/2.34 P_asked-{F}(V0), P_other-{F}(V1), truth-{F}(V2), P_isa-{F}(V1,V3,V2), P_knight-{F}(V4), P_isa-{F}(V1,V4,V5), P_knave-{F}(V6), truth-{F}(V7), P_isa-{F}(V8,V4,V7), P_isa-{F}(V8,V6,V9), P_isa-{F}(V0,V6,V9) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #121: mergings( V3 == V9, V1 == V4, V4 == V10, V5 == V11, V6 == V12; #114 ), references = 4, size of lhs = 9:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_other-{F}(V4), P_isa-{F}(V4,V5,V0), P_isa-{F}(V4,V1,V6), truth-{F}(V7), P_isa-{F}(V4,V8,V7) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #128: mergings( V3 == V4, V4 == V10, V1 == V5, V5 == V11, V6 == V12, V7 == V13; #115 ), references = 3, size of lhs = 9:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_other-{F}(V4), P_isa-{F}(V4,V5,V0), P_isa-{F}(V4,V1,V6), truth-{F}(V7), P_isa-{F}(V4,V8,V7) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #153: mergings( V3 == V5, V8 == V9, V1 == V6; #147 ), references = 1, size of lhs = 7:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_other-{F}(V4), P_isa-{F}(V4,V1,V5), P_not-{F}(V5,V0) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #165: mergings( V0 == V4, V4 == V6, V6 == V8, V12 == V13, V1 == V5, V5 == V7, V7 == V9; #156 ), references = 1, size of lhs = 8:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V7), P_or-{F}(V6,V8,V5) | truth-{T}(V7)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #173: mergings( V0 == V4, V4 == V6, V6 == V8, V12 == V13, V1 == V5, V5 == V7, V7 == V9; #157 ), references = 1, size of lhs = 8:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_not-{F}(V4,V5), P_not-{F}(V6,V7), P_or-{F}(V6,V8,V5) | truth-{T}(V7)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #191: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #184 ), references = 1, size of lhs = 9:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_not-{F}(V5,V6), P_or-{F}(V5,V7,V8), P_isa-{F}(V3,V9,V8), P_isa-{F}(V3,V10,V8) | truth-{T}(V6)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #196: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #185 ), references = 1, size of lhs = 9:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_not-{F}(V5,V6), P_or-{F}(V5,V7,V8), P_isa-{F}(V3,V9,V8), P_isa-{F}(V3,V10,V8) | truth-{T}(V6)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #217: mergings( V0 == V5, V1 == V6; #214 ), references = 1, size of lhs = 6:
% 0.44/2.34 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), truth-{F}(V3), P_not-{F}(V4,V3), P_or-{F}(V5,V4,V0) | truth-{T}(V5)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #242: mergings( V0 == V5, V1 == V6; #237 ), references = 1, size of lhs = 9:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_isa-{F}(V5,V0,V6), P_isa-{F}(V5,V1,V7), P_isa-{F}(V3,V8,V6), P_isa-{F}(V3,V9,V6) | truth-{T}(V7)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #245: mergings( V0 == V5, V1 == V6; #238 ), references = 1, size of lhs = 9:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_isa-{F}(V5,V0,V6), P_isa-{F}(V5,V1,V7), P_isa-{F}(V3,V8,V6), P_isa-{F}(V3,V9,V6) | truth-{T}(V7)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #248: mergings( V0 == V5, V1 == V6; #239 ), references = 1, size of lhs = 9:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_isa-{F}(V5,V0,V6), P_isa-{F}(V5,V1,V7), P_isa-{F}(V2,V8,V6), P_isa-{F}(V3,V9,V6) | truth-{T}(V7)
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #262: mergings( V3 == V4, V4 == V9, V12 == V13, V1 == V5, V5 == V10, V6 == V11, V7 == V0, V8 == V13; #252 ), references = 1, size of lhs = 7:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V3,V0,V4), P_isa-{F}(V3,V5,V4), P_isa-{F}(V3,V6,V4) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #268: mergings( V3 == V4, V4 == V6, V5 == V7; #263 ), references = 1, size of lhs = 4:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #274: mergings( V1 == V2, V2 == V5, V3 == V6; #269 ), references = 1, size of lhs = 3:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #279: mergings( V1 == V2, V2 == V4; #275 ), references = 1, size of lhs = 2:
% 0.44/2.34 P_knight-{F}(V0), P_knave-{F}(V1) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #282: exists( #13, #275 ), references = 1, size of lhs = 1:
% 0.44/2.34 P_knight-{F}(V0) | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 #285: exists( #12, #280 ), references = 1, size of lhs = 0:
% 0.44/2.34 FALSE | FALSE
% 0.44/2.34 (used 0 times, uses = {})
% 0.44/2.34
% 0.44/2.34 number of learnt formulas = 31
% 0.44/2.34
% 0.44/2.34
% 0.44/2.34 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/2.34
% 0.44/2.34 randbase = 1
%------------------------------------------------------------------------------