%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 01:59:53 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 11 unt; 4 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 30 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f14,axiom,
! [X,Y,Z] :
( a_truth(truthteller(Z))
| a_truth(truthteller(Y))
| a_truth(truthteller(X))
| ~ people(X,Y,Z)
| a_truth(all_are_liars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
a_truth(says(a,all_are_liars)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [Truthteller] : ~ a_truth(truthteller(Truthteller)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [Truthteller] :
( a_truth(truthteller(Truthteller))
| ! [Statement] :
( ~ a_truth(says(Truthteller,Statement))
| ~ a_truth(Statement) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f28,plain,
! [X0,X1] :
( a_truth(truthteller(X1))
| ~ a_truth(says(X1,X0))
| ~ a_truth(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f45,plain,
! [Z] :
( a_truth(truthteller(Z))
| ! [Y] :
( a_truth(truthteller(Y))
| ! [X] :
( a_truth(truthteller(X))
| ~ people(X,Y,Z)
| a_truth(all_are_liars) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f46,plain,
! [X0,X1,X2] :
( a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(truthteller(X0))
| ~ people(X0,X1,X2)
| a_truth(all_are_liars) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
people(b,c,a),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f50,plain,
a_truth(says(a,all_are_liars)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
! [X0] : ~ a_truth(truthteller(X0)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f56,definition,
! [X0,X1,X2] :
( sQ1_spl
<=> ( a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(truthteller(X0))
| ~ people(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| a_truth(truthteller(X0))
| ~ people(X0,X1,X2) ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f76,definition,
( sQ6_spl
<=> a_truth(all_are_liars) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ6_spl
| a_truth(all_are_liars) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f46,f76,f56]) ).
fof(f80,plain,
! [X0,X1] :
( ~ a_truth(says(X1,X0))
| ~ a_truth(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f28,f52]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| a_truth(truthteller(X2))
| a_truth(truthteller(X1))
| ~ people(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f57,f52]) ).
fof(f84,plain,
( ~ sQ1_spl
| a_truth(truthteller(a))
| a_truth(truthteller(c)) ),
inference(resolution,[status(thm)],[f47,f82]) ).
fof(f85,definition,
( sQ7_spl
<=> a_truth(truthteller(c)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ7_spl
| a_truth(truthteller(c)) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ8_spl
<=> a_truth(truthteller(a)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ8_spl
| a_truth(truthteller(a)) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ sQ1_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f84,f85,f88,f56]) ).
fof(f92,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f52]) ).
fof(f93,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f52]) ).
fof(f95,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f94]) ).
fof(f96,plain,
~ a_truth(all_are_liars),
inference(resolution,[status(thm)],[f50,f80]) ).
fof(f97,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f77]) ).
fof(f98,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f99,plain,
$false,
inference(sat_refutation,[status(thm)],[f79,f91,f93,f95,f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n004.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 03:45:51 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.15/0.46 % Refutation found
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.51 % Elapsed time: 0.064163 seconds
% 0.15/0.51 % CPU time: 0.071747 seconds
% 0.15/0.51 % Total memory used: 1.622 MB
% 0.15/0.51 % Net memory used: 1.611 MB
%------------------------------------------------------------------------------