%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ035-3 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:56 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 7 unt; 9 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 105 ( 50 ~; 46 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P] :
( truth(isa(P,knave))
| truth(isa(P,knight))
| ~ person(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
person(asked),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
person(other),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [P1,P2,S] :
( ~ says(asked,S)
| ~ truth(isa(other,P2))
| ~ truth(isa(asked,P1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] :
( truth(isa(X0,knave))
| truth(isa(X0,knight))
| ~ person(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
person(asked),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f39,plain,
person(other),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
( ! [S] : ~ says(asked,S)
| ! [P2] : ~ truth(isa(other,P2))
| ! [P1] : ~ truth(isa(asked,P1)) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ says(asked,X2)
| ~ truth(isa(other,X1))
| ~ truth(isa(asked,X0)) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,definition,
( sQ0_spl
<=> says(asked,or(isa(asked,knight),isa(other,knight))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f43,plain,
( ~ sQ0_spl
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,definition,
( sQ1_spl
<=> says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( ~ sQ1_spl
| says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f42,f45]) ).
fof(f49,definition,
! [X0] :
( sQ2_spl
<=> ~ truth(isa(asked,X0)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f50,plain,
! [X0] :
( ~ sQ2_spl
| ~ truth(isa(asked,X0)) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,definition,
! [X1] :
( sQ3_spl
<=> ~ truth(isa(other,X1)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f53,plain,
! [X0] :
( ~ sQ3_spl
| ~ truth(isa(other,X0)) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,definition,
! [X2] :
( sQ4_spl
<=> ~ says(asked,X2) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f56,plain,
! [X0] :
( ~ sQ4_spl
| ~ says(asked,X0) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f49,f52,f55]) ).
fof(f59,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f56]) ).
fof(f60,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f59]) ).
fof(f69,plain,
( ~ sQ2_spl
| truth(isa(asked,knight))
| ~ person(asked) ),
inference(resolution,[status(thm)],[f17,f50]) ).
fof(f70,definition,
( sQ7_spl
<=> person(asked) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( sQ7_spl
| ~ person(asked) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,definition,
( sQ8_spl
<=> truth(isa(asked,knight)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ8_spl
| truth(isa(asked,knight)) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( ~ sQ2_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f69,f70,f73,f49]) ).
fof(f77,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f38]) ).
fof(f78,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f77]) ).
fof(f79,plain,
( ~ sQ3_spl
| truth(isa(other,knight))
| ~ person(other) ),
inference(resolution,[status(thm)],[f53,f17]) ).
fof(f80,definition,
( sQ9_spl
<=> person(other) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ9_spl
| ~ person(other) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ10_spl
<=> truth(isa(other,knight)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ10_spl
| truth(isa(other,knight)) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( ~ sQ3_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f79,f80,f83,f52]) ).
fof(f87,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f39]) ).
fof(f88,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f93,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f50]) ).
fof(f94,plain,
( ~ sQ8_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f93]) ).
fof(f97,plain,
( ~ sQ10_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f53]) ).
fof(f98,plain,
( ~ sQ10_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f114,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f46,f56]) ).
fof(f115,plain,
( ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f116,plain,
$false,
inference(sat_refutation,[status(thm)],[f48,f58,f60,f76,f78,f86,f88,f94,f98,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ035-3 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n004.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Mon Sep 21 03:46:40 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.45 % Drodi V4.1.1
% 0.17/5.47 % Refutation found
% 0.17/5.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/5.50 % Elapsed time: 0.058162 seconds
% 0.20/5.50 % CPU time: 0.148495 seconds
% 0.20/5.50 % Total memory used: 16.924 MB
% 0.20/5.50 % Net memory used: 16.547 MB
%------------------------------------------------------------------------------