%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ035-4 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.13s 0.37s
% Output : CNFRefutation 0.13s
% 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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
person(asked),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
person(other),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [P1,P2,S] :
( ~ says(asked,S)
| ~ truth(isa(other,P2))
| ~ truth(isa(asked,P1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] :
( truth(isa(X0,knave))
| truth(isa(X0,knight))
| ~ person(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,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)],[f5]) ).
fof(f32,plain,
person(asked),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
person(other),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f34,plain,
( ! [S] : ~ says(asked,S)
| ! [P2] : ~ truth(isa(other,P2))
| ! [P1] : ~ truth(isa(asked,P1)) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ says(asked,X2)
| ~ truth(isa(other,X1))
| ~ truth(isa(asked,X0)) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,definition,
( sQ0_spl
<=> says(asked,or(isa(asked,knight),isa(other,knight))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( ~ sQ0_spl
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,definition,
( sQ1_spl
<=> says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f40,plain,
( ~ sQ1_spl
| says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f21,f36,f39]) ).
fof(f43,definition,
! [X0] :
( sQ2_spl
<=> ~ truth(isa(asked,X0)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f44,plain,
! [X0] :
( ~ sQ2_spl
| ~ truth(isa(asked,X0)) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
! [X1] :
( sQ3_spl
<=> ~ truth(isa(other,X1)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f47,plain,
! [X0] :
( ~ sQ3_spl
| ~ truth(isa(other,X0)) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
! [X2] :
( sQ4_spl
<=> ~ says(asked,X2) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f50,plain,
! [X0] :
( ~ sQ4_spl
| ~ says(asked,X0) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f35,f43,f46,f49]) ).
fof(f53,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f50]) ).
fof(f54,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f53]) ).
fof(f64,definition,
( sQ7_spl
<=> truth(isa(asked,knight)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( ~ sQ7_spl
| truth(isa(asked,knight)) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f68,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f44]) ).
fof(f69,plain,
( ~ sQ7_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f68]) ).
fof(f76,definition,
( sQ8_spl
<=> truth(isa(other,knight)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ8_spl
| truth(isa(other,knight)) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f80,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f77,f47]) ).
fof(f81,plain,
( ~ sQ8_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ sQ2_spl
| truth(isa(asked,knight))
| ~ person(asked) ),
inference(resolution,[status(thm)],[f15,f44]) ).
fof(f84,definition,
( sQ9_spl
<=> person(asked) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( sQ9_spl
| ~ person(asked) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( ~ sQ2_spl
| sQ7_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f83,f84,f64,f43]) ).
fof(f88,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f32]) ).
fof(f89,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f88]) ).
fof(f94,plain,
( ~ sQ3_spl
| truth(isa(other,knight))
| ~ person(other) ),
inference(resolution,[status(thm)],[f47,f15]) ).
fof(f95,definition,
( sQ10_spl
<=> person(other) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ10_spl
| ~ person(other) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( ~ sQ3_spl
| sQ8_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f94,f95,f76,f46]) ).
fof(f99,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f33]) ).
fof(f100,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f40,f50]) ).
fof(f102,plain,
( ~ sQ1_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f101]) ).
fof(f103,plain,
$false,
inference(sat_refutation,[status(thm)],[f42,f52,f54,f69,f81,f87,f89,f98,f100,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ035-4 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n007.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:44:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.037599 seconds
% 0.13/0.39 % CPU time: 0.096123 seconds
% 0.13/0.39 % Total memory used: 13.169 MB
% 0.13/0.39 % Net memory used: 12.862 MB
%------------------------------------------------------------------------------