TSTP Solution File: PUZ035-5 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ035-5 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ035-5 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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 07:21:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 12, size of lhs = 4:
% 0.19/0.51 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)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 7, size of lhs = 6:
% 0.19/0.51 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
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 3, size of lhs = 5:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V3,V0,V4), truth-{F}(V4), says-{F}(V3,V2) | truth-{T}(V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 3, size of lhs = 5:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_isa-{F}(V3,V0,V4), says-{F}(V3,V2) | truth-{T}(V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_or-{F}(V3,V2,V4), truth-{F}(V4) | truth-{T}(V2), truth-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_or-{F}(V2,V3,V4) | truth-{T}(V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), truth-{F}(V2), P_or-{F}(V3,V2,V4) | truth-{T}(V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 3, size of lhs = 7:
% 0.19/0.51 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) | says-{T}(V2,V6)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 4, size of lhs = 11:
% 0.19/0.51 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_isa-{F}(V2,V7,V8), truth-{F}(V8), P_isa-{F}(V4,V9,V10), truth-{F}(V10) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 10, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_isa-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_knight-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_knave-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 4, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_or-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_asked-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_other-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of initial rules = 15
% 0.19/0.51
% 0.19/0.51 Simplifiers:
% 0.19/0.51 #15: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 says-{F}(V0,V1), says-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_isa-{F}(V0,V1,V2), P_isa-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_knight-{F}(V0), P_knight-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #18: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_knave-{F}(V0), P_knave-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_or-{F}(V0,V1,V2), P_or-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_asked-{F}(V0), P_asked-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_other-{F}(V0), P_other-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of simplifiers = 7
% 0.19/0.51
% 0.19/0.51 Learnt:
% 0.19/0.51 #26: mergings( V0 == V5, V1 == V6; #22 ), references = 1, size of lhs = 6:
% 0.19/0.51 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)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #29: exists( #9, #27 ), references = 1, size of lhs = 2:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #37: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #32 ), references = 1, size of lhs = 7:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V4), P_isa-{F}(V5,V1,V4), P_isa-{F}(V5,V0,V6), P_or-{F}(V7,V4,V6) | truth-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #46: mergings( V0 == V5, V5 == V7, V1 == V6, V6 == V8; #41 ), references = 1, size of lhs = 7:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V4), P_isa-{F}(V5,V1,V4), P_isa-{F}(V5,V0,V6), P_or-{F}(V4,V7,V6) | truth-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #52: mergings( V0 == V5, V1 == V6; #49 ), references = 1, size of lhs = 6:
% 0.19/0.51 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,V4), P_isa-{F}(V5,V1,V4) | truth-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #59: mergings( V0 == V5, V1 == V6; #56 ), references = 2, size of lhs = 7:
% 0.19/0.51 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), truth-{F}(V3), P_isa-{F}(V4,V2,V3), P_isa-{F}(V4,V1,V5), P_or-{F}(V6,V5,V0) | truth-{T}(V6)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #71: mergings( V0 == V5, V1 == V6; #68 ), references = 1, size of lhs = 11:
% 0.19/0.51 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_isa-{F}(V7,V0,V8), P_isa-{F}(V7,V1,V9), P_isa-{F}(V2,V10,V8), P_isa-{F}(V4,V11,V8) | truth-{T}(V9)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #84: mergings( V0 == V5, V5 == V9, V1 == V6, V6 == V10; #79 ), references = 1, size of lhs = 9:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_isa-{F}(V2,V0,V3), P_isa-{F}(V2,V1,V4), P_isa-{F}(V5,V1,V4), P_isa-{F}(V5,V0,V6), P_isa-{F}(V7,V1,V4), P_isa-{F}(V7,V0,V8), P_or-{F}(V8,V6,V4) | truth-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #90: exists( #12, #8 ), references = 3, size of lhs = 10:
% 0.19/0.51 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
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #92: exists( #9, #89 ), references = 3, size of lhs = 9:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), truth-{F}(V5), P_isa-{F}(V2,V6,V5), truth-{F}(V7), P_isa-{F}(V4,V8,V7) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #96: mergings( V0 == V5, V1 == V6; #93 ), references = 3, size of lhs = 9:
% 0.19/0.51 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}(V5,V0,V6), P_isa-{F}(V5,V1,V7), P_isa-{F}(V2,V8,V7), P_isa-{F}(V4,V9,V7) | truth-{T}(V6)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #108: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V0; #103 ), references = 1, size of lhs = 10:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), truth-{F}(V5), P_isa-{F}(V2,V6,V5), P_isa-{F}(V4,V1,V7), P_isa-{F}(V2,V8,V7), P_isa-{F}(V4,V9,V7) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #114: mergings( V1 == V7, V3 == V8, V4 == V9, V5 == V10, V6 == V0; #102 ), references = 1, size of lhs = 10:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), truth-{F}(V5), P_isa-{F}(V2,V6,V5), P_isa-{F}(V4,V1,V7), P_isa-{F}(V2,V8,V7), P_isa-{F}(V4,V9,V7) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #126: mergings( V0 == V5, V1 == V6; #122 ), references = 1, size of lhs = 10:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_isa-{F}(V2,V0,V3), P_other-{F}(V4), truth-{F}(V5), P_isa-{F}(V2,V6,V5), P_isa-{F}(V7,V0,V8), P_isa-{F}(V7,V1,V9), P_isa-{F}(V4,V10,V8) | truth-{T}(V9)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #129: mergings( V0 == V5, V1 == V6; #123 ), references = 1, size of lhs = 11:
% 0.19/0.51 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), P_isa-{F}(V8,V0,V9), P_isa-{F}(V8,V1,V10), P_isa-{F}(V4,V11,V9) | truth-{T}(V10)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #139: mergings( V4 == V1, V3 == V5, V5 == V10, V6 == V11, V7 == V12; #133 ), references = 1, size of lhs = 11:
% 0.19/0.51 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_isa-{F}(V3,V4,V0), P_isa-{F}(V3,V1,V5), P_other-{F}(V6), truth-{F}(V7), P_isa-{F}(V3,V8,V7), P_isa-{F}(V6,V2,V9), P_isa-{F}(V6,V10,V9) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #147: mergings( V1 == V4, V4 == V10, V3 == V5, V5 == V11, V6 == V12, V7 == V13, V0 == V14; #132 ), references = 1, size of lhs = 11:
% 0.19/0.51 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_isa-{F}(V3,V4,V0), P_isa-{F}(V3,V1,V5), P_other-{F}(V6), truth-{F}(V7), P_isa-{F}(V3,V8,V7), P_isa-{F}(V6,V2,V9), P_isa-{F}(V6,V10,V9) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #155: mergings( V3 == V9, V1 == V4, V4 == V10, V5 == V11, V6 == V12; #148 ), references = 2, size of lhs = 9:
% 0.19/0.51 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_isa-{F}(V3,V4,V0), P_isa-{F}(V3,V1,V5), P_other-{F}(V6), truth-{F}(V7), P_isa-{F}(V3,V8,V7) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #162: mergings( V3 == V4, V4 == V10, V1 == V5, V5 == V11, V6 == V12, V7 == V13; #149 ), references = 1, size of lhs = 9:
% 0.19/0.51 truth-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), P_isa-{F}(V3,V4,V0), P_isa-{F}(V3,V1,V5), P_other-{F}(V6), truth-{F}(V7), P_isa-{F}(V3,V8,V7) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #170: mergings( V0 == V5, V1 == V6; #165 ), references = 1, size of lhs = 9:
% 0.19/0.51 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}(V5,V0,V6), P_isa-{F}(V5,V1,V7), P_isa-{F}(V2,V8,V6), P_isa-{F}(V2,V9,V6) | truth-{T}(V7)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #173: mergings( V0 == V5, V1 == V6; #166 ), references = 1, size of lhs = 9:
% 0.19/0.51 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}(V5,V0,V6), P_isa-{F}(V5,V1,V7), P_isa-{F}(V2,V8,V6), P_isa-{F}(V2,V9,V6) | truth-{T}(V7)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #186: mergings( V3 == V4, V4 == V9, V11 == V13, V1 == V5, V5 == V10, V6 == V0, V7 == V13, V8 == V12; #176 ), references = 1, size of lhs = 7:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_isa-{F}(V2,V0,V4), P_isa-{F}(V2,V5,V4), P_isa-{F}(V2,V6,V4) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #192: mergings( V3 == V4, V4 == V6, V5 == V7; #187 ), references = 1, size of lhs = 4:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #197: mergings( V1 == V2, V2 == V4; #193 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #202: mergings( V1 == V2, V2 == V4; #198 ), references = 1, size of lhs = 2:
% 0.19/0.51 P_knight-{F}(V0), P_knave-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #205: exists( #11, #198 ), references = 1, size of lhs = 1:
% 0.19/0.51 P_knight-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #208: exists( #10, #203 ), references = 1, size of lhs = 0:
% 0.19/0.51 FALSE | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of learnt formulas = 27
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 randbase = 1
%------------------------------------------------------------------------------