%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:59:48 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 11 unt; 6 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 95 ( 46 ~; 43 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,hypothesis,
lives(butler),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Y] :
( ~ richer(X,Y)
| ~ killed(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [X] :
( ~ hates(charles,X)
| ~ hates(agatha,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [X] :
( ~ hates(X,charles)
| ~ hates(X,butler)
| ~ hates(X,agatha) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
hates(agatha,agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
hates(agatha,charles),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y] :
( hates(X,Y)
| ~ killed(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [X] :
( hates(butler,X)
| ~ hates(agatha,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [X] :
( hates(butler,X)
| richer(X,agatha)
| ~ lives(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( killed(charles,agatha)
| killed(butler,agatha) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
lives(butler),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1] :
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0] :
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0] :
( ~ hates(X0,charles)
| ~ hates(X0,butler)
| ~ hates(X0,agatha) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
hates(agatha,agatha),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
hates(agatha,charles),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0] :
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0] :
( hates(butler,X0)
| richer(X0,agatha)
| ~ lives(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
( killed(charles,agatha)
| killed(butler,agatha) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f25,definition,
( sQ0_spl
<=> killed(butler,agatha) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f26,plain,
( ~ sQ0_spl
| killed(butler,agatha) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,definition,
( sQ1_spl
<=> killed(charles,agatha) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f29,plain,
( ~ sQ1_spl
| killed(charles,agatha) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f24,f25,f28]) ).
fof(f32,plain,
! [X0] :
( ~ hates(agatha,X0)
| ~ killed(charles,X0) ),
inference(resolution,[status(thm)],[f21,f17]) ).
fof(f35,definition,
( sQ2_spl
<=> hates(butler,agatha) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( sQ2_spl
| ~ hates(butler,agatha) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,definition,
( sQ3_spl
<=> hates(butler,charles) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f40,plain,
( sQ3_spl
| ~ hates(butler,charles) ),
inference(component_clause,[status(thm)],[f38]) ).
fof(f46,plain,
( ~ hates(butler,charles)
| ~ hates(butler,agatha)
| richer(butler,agatha)
| ~ lives(butler) ),
inference(resolution,[status(thm)],[f23,f18]) ).
fof(f47,definition,
( sQ5_spl
<=> lives(butler) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f49,plain,
( sQ5_spl
| ~ lives(butler) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,definition,
( sQ6_spl
<=> richer(butler,agatha) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( ~ sQ6_spl
| richer(butler,agatha) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f46,f47,f50,f35,f38]) ).
fof(f55,plain,
( sQ3_spl
| ~ hates(agatha,charles) ),
inference(resolution,[status(thm)],[f40,f22]) ).
fof(f64,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f20]) ).
fof(f65,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ2_spl
| ~ hates(agatha,agatha) ),
inference(resolution,[status(thm)],[f37,f22]) ).
fof(f76,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f19]) ).
fof(f77,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f76]) ).
fof(f78,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f14]) ).
fof(f79,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ sQ6_spl
| ~ killed(butler,agatha) ),
inference(resolution,[status(thm)],[f51,f16]) ).
fof(f82,plain,
( ~ sQ6_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f26]) ).
fof(f83,plain,
( ~ sQ6_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( ~ sQ1_spl
| ~ hates(agatha,agatha) ),
inference(resolution,[status(thm)],[f29,f32]) ).
fof(f85,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f19]) ).
fof(f86,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f53,f65,f77,f79,f83,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:44:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.036363 seconds
% 0.13/0.39 % CPU time: 0.048325 seconds
% 0.13/0.39 % Total memory used: 3.156 MB
% 0.13/0.39 % Net memory used: 3.120 MB
%------------------------------------------------------------------------------