%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ032-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 01:59:55 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 8 unt; 5 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 74 ( 35 ~; 34 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( ~ a_truth(liar(X))
| ~ a_truth(truthteller(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Statement,Truthteller] :
( a_truth(truthteller(Truthteller))
| ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Statement,Liar] :
( a_truth(liar(Liar))
| ~ a_truth(says(Liar,Statement))
| a_truth(Statement) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
a_truth(says(b,says(a,liar(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ a_truth(truthteller(c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] :
( ~ a_truth(liar(X0))
| ~ a_truth(truthteller(X0)) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
! [Truthteller] :
( a_truth(truthteller(Truthteller))
| ! [Statement] :
( ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f18,plain,
! [X0,X1] :
( a_truth(truthteller(X1))
| ~ a_truth(says(X1,X0))
| ~ a_truth(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [Liar] :
( a_truth(liar(Liar))
| ! [Statement] :
( ~ a_truth(says(Liar,Statement))
| a_truth(Statement) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0,X1] :
( a_truth(liar(X1))
| ~ a_truth(says(X1,X0))
| a_truth(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
a_truth(says(b,says(a,liar(a)))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
a_truth(says(c,liar(b))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
~ a_truth(truthteller(c)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
( a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(resolution,[status(thm)],[f18,f23]) ).
fof(f26,definition,
( sQ0_spl
<=> a_truth(liar(b)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f29,definition,
( sQ1_spl
<=> a_truth(truthteller(c)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( ~ sQ1_spl
| a_truth(truthteller(c)) ),
inference(component_clause,[status(thm)],[f29]) ).
fof(f32,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f25,f26,f29]) ).
fof(f40,definition,
( sQ3_spl
<=> a_truth(truthteller(a)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f41,plain,
( ~ sQ3_spl
| a_truth(truthteller(a)) ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f47,definition,
( sQ4_spl
<=> a_truth(liar(a)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ4_spl
| a_truth(liar(a)) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f55,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f24]) ).
fof(f56,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f55]) ).
fof(f60,plain,
( ~ sQ3_spl
| ~ a_truth(liar(a)) ),
inference(resolution,[status(thm)],[f41,f12]) ).
fof(f61,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f48]) ).
fof(f62,plain,
( ~ sQ3_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f61]) ).
fof(f67,plain,
( a_truth(liar(b))
| a_truth(says(a,liar(a))) ),
inference(resolution,[status(thm)],[f22,f20]) ).
fof(f69,definition,
( sQ6_spl
<=> a_truth(says(a,liar(a))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ6_spl
| a_truth(says(a,liar(a))) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( sQ0_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f67,f69,f26]) ).
fof(f77,plain,
( ~ sQ6_spl
| a_truth(liar(a))
| a_truth(liar(a)) ),
inference(resolution,[status(thm)],[f70,f20]) ).
fof(f78,plain,
( ~ sQ6_spl
| a_truth(truthteller(a))
| ~ a_truth(liar(a)) ),
inference(resolution,[status(thm)],[f70,f18]) ).
fof(f79,plain,
( ~ sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f77,f47,f69]) ).
fof(f80,plain,
( ~ sQ6_spl
| sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f78,f47,f40,f69]) ).
fof(f81,plain,
$false,
inference(sat_refutation,[status(thm)],[f32,f56,f62,f72,f79,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ032-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n005.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 21 03:46:02 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.051737 seconds
% 0.12/0.40 % CPU time: 0.113932 seconds
% 0.12/0.40 % Total memory used: 16.771 MB
% 0.12/0.40 % Net memory used: 16.274 MB
%------------------------------------------------------------------------------