TSTP Solution File: PUZ035-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : PUZ035-1 : 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 06:14:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.72s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.42 % Problem : PUZ035-1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.43 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.16/0.64 % Computer : n006.cluster.edu
% 0.16/0.64 % Model : x86_64 x86_64
% 0.16/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.64 % Memory : 8042.1875MB
% 0.16/0.64 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.64 % CPULimit : 300
% 0.16/0.64 % WCLimit : 300
% 0.16/0.64 % DateTime : Fri Jul 22 06:58:09 EDT 2022
% 0.16/0.64 % CPUTime :
% 0.19/0.72 GeoParameters:
% 0.19/0.72
% 0.19/0.72 tptp_input = 1
% 0.19/0.72 tptp_output = 0
% 0.19/0.72 nonempty = 1
% 0.19/0.72 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.72 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.72
% 0.19/0.72
% 0.19/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.72
% 0.19/0.72 RuleSystem INPUT:
% 0.19/0.72
% 0.19/0.72 Initial Rules:
% 0.19/0.72 #0: input, references = 7, size of lhs = 3:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), person-{F}(V2) | isa-{T}(V2,V0), isa-{T}(V2,V1)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #1: input, references = 4, size of lhs = 4:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), isa-{F}(V2,V0), isa-{F}(V2,V1) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #2: input, references = 3, size of lhs = 3:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), isa-{F}(V2,V0) | tell_the_truth-{T}(V2)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #3: input, references = 3, size of lhs = 3:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), isa-{F}(V2,V1) | lies-{T}(V2)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #4: input, references = 3, size of lhs = 4:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), tell_the_truth-{F}(V2), lies-{F}(V2) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #5: input, references = 3, size of lhs = 7:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), response-{F}(V4), tell_the_truth-{F}(V2) | isa-{T}(V2,V0), isa-{T}(V3,V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #6: input, references = 3, size of lhs = 8:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), response-{F}(V5), lies-{F}(V2) | isa-{T}(V2,V0), isa-{T}(V3,V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #7: input, references = 3, size of lhs = 9:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), response-{F}(V4), lies-{F}(V2), isa-{F}(V6,V0) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #8: input, references = 3, size of lhs = 9:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), response-{F}(V5), tell_the_truth-{F}(V2), isa-{F}(V6,V0) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #9: input, references = 3, size of lhs = 8:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), tell_the_truth-{F}(V2), isa-{F}(V6,V0) | response-{T}(V4)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #10: input, references = 3, size of lhs = 7:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), tell_the_truth-{F}(V2) | response-{T}(V5), isa-{T}(V2,V0), isa-{T}(V3,V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #11: input, references = 5, size of lhs = 6:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5) | response-{T}(V4), response-{T}(V5)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #12: input, references = 6, size of lhs = 6:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5) | person-{T}(V2)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #13: input, references = 4, size of lhs = 6:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5) | person-{T}(V3)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #14: input, references = 8, size of lhs = 9:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), isa-{F}(V2,V6), response-{F}(V7), isa-{F}(V3,V8) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #15: input, references = 4, size of lhs = 0:
% 0.19/0.72 FALSE | EXISTS V0: P_knight-{T}(V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #16: input, references = 4, size of lhs = 0:
% 0.19/0.72 FALSE | EXISTS V0: P_knave-{T}(V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #17: input, references = 5, size of lhs = 0:
% 0.19/0.72 FALSE | EXISTS V0: P_asked-{T}(V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #18: input, references = 5, size of lhs = 0:
% 0.19/0.72 FALSE | EXISTS V0: P_other-{T}(V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #19: input, references = 6, size of lhs = 0:
% 0.19/0.72 FALSE | EXISTS V0: P_yes-{T}(V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #20: input, references = 6, size of lhs = 0:
% 0.19/0.72 FALSE | EXISTS V0: P_no-{T}(V0)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 number of initial rules = 21
% 0.19/0.72
% 0.19/0.72 Simplifiers:
% 0.19/0.72 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.72 P_knight-{F}(V0), P_knight-{F}(V1), V0 == V1 | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.72 P_knave-{F}(V0), P_knave-{F}(V1), V0 == V1 | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.72 P_asked-{F}(V0), P_asked-{F}(V1), V0 == V1 | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.72 P_other-{F}(V0), P_other-{F}(V1), V0 == V1 | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.72 P_yes-{F}(V0), P_yes-{F}(V1), V0 == V1 | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.72 P_no-{F}(V0), P_no-{F}(V1), V0 == V1 | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 number of simplifiers = 6
% 0.19/0.72
% 0.19/0.72 Learnt:
% 0.19/0.72 #29: mergings( V1 == V0; #27 ), references = 1, size of lhs = 3:
% 0.19/0.72 person-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V1) | isa-{T}(V0,V1)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #36: mergings( V1 == V6, V6 == V7, V2 == V7; #32 ), references = 1, size of lhs = 5:
% 0.19/0.72 P_asked-{F}(V0), P_other-{F}(V1), P_yes-{F}(V2), P_knight-{F}(V3), P_knave-{F}(V3) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #41: mergings( V1 == V5, V5 == V6, V2 == V6; #37 ), references = 1, size of lhs = 4:
% 0.19/0.72 P_asked-{F}(V0), P_other-{F}(V1), P_knight-{F}(V2), P_knave-{F}(V2) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #46: mergings( V1 == V4, V4 == V5, V2 == V5; #42 ), references = 1, size of lhs = 3:
% 0.19/0.72 P_asked-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V1) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #51: mergings( V1 == V3, V3 == V4, V2 == V4; #47 ), references = 1, size of lhs = 2:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V0) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #59: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11; #52 ), references = 4, size of lhs = 8:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), isa-{F}(V2,V6), isa-{F}(V3,V7) | response-{T}(V5)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #74: mergings( V0 == V3, V3 == V9, V9 == V13, V1 == V4, V4 == V10, V10 == V14, V2 == V5, V5 == V6, V7 == V11, V11 == V15, V8 == V12, V12 == V16; #61 ), references = 1, size of lhs = 7:
% 0.19/0.72 person-{F}(V0), P_asked-{F}(V0), P_other-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_yes-{F}(V3), P_no-{F}(V4) | isa-{T}(V0,V2)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #99: mergings( V1 == V5, V5 == V8, V8 == V13, V13 == V16, V16 == V19, V19 == V22, V2 == V6, V6 == V9, V9 == V14, V14 == V17, V17 == V20, V20 == V23, V7 == V10, V3 == V10, V10 == V11, V4 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24; #78 ), references = 1, size of lhs = 5:
% 0.19/0.72 P_asked-{F}(V0), P_other-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_yes-{F}(V3) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #116: mergings( V1 == V4, V4 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V5, V5 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V6 == V9, V3 == V9, V9 == V10; #100 ), references = 1, size of lhs = 4:
% 0.19/0.72 P_asked-{F}(V0), P_other-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #124: mergings( V0 == V6, V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11; #117 ), references = 1, size of lhs = 8:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1), P_asked-{F}(V2), P_other-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5), isa-{F}(V2,V6), isa-{F}(V3,V7) | response-{T}(V5)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #140: mergings( V0 == V3, V3 == V9, V9 == V15, V1 == V4, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V2 == V6, V7 == V12, V12 == V18, V8 == V13, V13 == V19; #126 ), references = 2, size of lhs = 9:
% 0.19/0.72 person-{F}(V0), P_other-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2), P_asked-{F}(V3), isa-{F}(V3,V4), P_yes-{F}(V5), P_no-{F}(V6), isa-{F}(V3,V7) | isa-{T}(V0,V2)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #166: mergings( V0 == V3, V3 == V6, V6 == V12, V12 == V16, V16 == V20, V20 == V24, V1 == V4, V4 == V7, V7 == V13, V13 == V17, V17 == V21, V21 == V25, V2 == V8, V5 == V9, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V11 == V15, V15 == V19, V19 == V23, V23 == V27; #143 ), references = 1, size of lhs = 8:
% 0.19/0.72 person-{F}(V0), P_asked-{F}(V0), person-{F}(V1), P_other-{F}(V1), P_knight-{F}(V2), P_knave-{F}(V3), P_yes-{F}(V4), P_no-{F}(V5) | isa-{T}(V0,V3)
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #208: mergings( V1 == V5, V5 == V9, V9 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V32, V32 == V35, V35 == V38, V2 == V6, V6 == V10, V10 == V13, V13 == V15, V15 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V33, V33 == V36, V36 == V39, V7 == V11, V11 == V16, V3 == V17, V17 == V31, V4 == V8, V8 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V34, V34 == V37, V37 == V40; #172 ), references = 1, size of lhs = 5:
% 0.19/0.72 P_asked-{F}(V0), P_other-{F}(V1), P_knight-{F}(V2), P_knave-{F}(V3), P_yes-{F}(V4) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #236: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V2 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V6 == V9, V9 == V14, V3 == V15, V15 == V24; #209 ), references = 1, size of lhs = 4:
% 0.19/0.72 P_asked-{F}(V0), P_other-{F}(V1), P_knight-{F}(V2), P_knave-{F}(V3) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #262: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V5 == V8, V8 == V13; #237 ), references = 1, size of lhs = 3:
% 0.19/0.72 P_asked-{F}(V0), P_knight-{F}(V1), P_knave-{F}(V2) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #286: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #263 ), references = 1, size of lhs = 2:
% 0.19/0.72 P_knight-{F}(V0), P_knave-{F}(V1) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #299: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #287 ), references = 1, size of lhs = 1:
% 0.19/0.72 P_knight-{F}(V0) | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 #301: exists( #15, #287 ), references = 1, size of lhs = 0:
% 0.19/0.72 FALSE | FALSE
% 0.19/0.72 (used 0 times, uses = {})
% 0.19/0.72
% 0.19/0.72 number of learnt formulas = 18
% 0.19/0.72
% 0.19/0.72
% 0.19/0.72 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.72
% 0.19/0.72 randbase = 1
%------------------------------------------------------------------------------