%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ035-2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 52 ( 7 unt; 10 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 117 ( 57 ~; 50 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( response(no)
| response(yes) ),
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,
! [A,X,Y] :
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] :
( isa(X0,knave)
| isa(X0,knight)
| ~ person(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( response(no)
| response(yes) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f33,plain,
person(asked),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f34,plain,
person(other),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f35,plain,
( ! [Y] : ~ isa(other,Y)
| ! [X] : ~ isa(asked,X)
| ! [A] : ~ response(A) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ isa(other,X2)
| ~ isa(asked,X1)
| ~ response(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,definition,
( sQ0_spl
<=> isa(asked,knight) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f38,plain,
( ~ sQ0_spl
| isa(asked,knight) ),
inference(component_clause,[status(thm)],[f37]) ).
fof(f40,definition,
( sQ1_spl
<=> isa(other,knight) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( ~ sQ1_spl
| isa(other,knight) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,definition,
( sQ2_spl
<=> response(yes) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( ~ sQ2_spl
| response(yes) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f50,definition,
( sQ4_spl
<=> response(no) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( ~ sQ4_spl
| response(no) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f57,definition,
! [X0] :
( sQ6_spl
<=> ~ isa(X0,knight) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f58,plain,
! [X0] :
( ~ sQ6_spl
| ~ isa(X0,knight) ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f64,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f32,f43,f50]) ).
fof(f65,definition,
! [X0] :
( sQ7_spl
<=> ~ response(X0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f66,plain,
! [X0] :
( ~ sQ7_spl
| ~ response(X0) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,definition,
! [X1] :
( sQ8_spl
<=> ~ isa(asked,X1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f69,plain,
! [X0] :
( ~ sQ8_spl
| ~ isa(asked,X0) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
! [X2] :
( sQ9_spl
<=> ~ isa(other,X2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f72,plain,
! [X0] :
( ~ sQ9_spl
| ~ isa(other,X0) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f36,f65,f68,f71]) ).
fof(f75,plain,
( ~ sQ9_spl
| isa(other,knight)
| ~ person(other) ),
inference(resolution,[status(thm)],[f17,f72]) ).
fof(f76,definition,
( sQ10_spl
<=> person(other) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( sQ10_spl
| ~ person(other) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( ~ sQ9_spl
| sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f75,f76,f40,f71]) ).
fof(f80,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f34]) ).
fof(f81,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f80]) ).
fof(f82,plain,
( ~ sQ8_spl
| isa(asked,knight)
| ~ person(asked) ),
inference(resolution,[status(thm)],[f69,f17]) ).
fof(f83,definition,
( sQ11_spl
<=> person(asked) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( sQ11_spl
| ~ person(asked) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( ~ sQ8_spl
| sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f83,f37,f68]) ).
fof(f87,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f33]) ).
fof(f88,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f44,f66]) ).
fof(f90,plain,
( ~ sQ2_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( ~ sQ4_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f66]) ).
fof(f92,plain,
( ~ sQ4_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f91]) ).
fof(f96,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f58]) ).
fof(f97,plain,
( ~ sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f69]) ).
fof(f99,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f72]) ).
fof(f101,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f102,plain,
$false,
inference(sat_refutation,[status(thm)],[f64,f74,f79,f81,f86,f88,f90,f92,f97,f99,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ035-2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 03:46:55 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.041018 seconds
% 0.12/0.40 % CPU time: 0.109286 seconds
% 0.12/0.40 % Total memory used: 16.822 MB
% 0.12/0.40 % Net memory used: 16.432 MB
%------------------------------------------------------------------------------