%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 7 unt; 8 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 96 ( 42 ~; 46 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( a_truth(liar(X))
| a_truth(truthteller(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
( an_answer(b_and_c_liars)
| ~ a_truth(liar(c))
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
( an_answer(b_liar_and_c_truthteller)
| ~ a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( an_answer(b_truthteller_and_c_liar)
| ~ a_truth(liar(c))
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
( an_answer(b_and_c_truthtellers)
| ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X] : ~ an_answer(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f51,plain,
( an_answer(b_and_c_liars)
| ~ a_truth(liar(c))
| ~ a_truth(liar(b)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
( an_answer(b_liar_and_c_truthteller)
| ~ a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f53,plain,
( an_answer(b_truthteller_and_c_liar)
| ~ a_truth(liar(c))
| ~ a_truth(truthteller(b)) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f54,plain,
( an_answer(b_and_c_truthtellers)
| ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
! [X0] : ~ an_answer(X0),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f87,definition,
( sQ8_spl
<=> a_truth(liar(b)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( sQ8_spl
| ~ a_truth(liar(b)) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
( sQ9_spl
<=> a_truth(liar(c)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( sQ9_spl
| ~ a_truth(liar(c)) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ10_spl
<=> an_answer(b_and_c_liars) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ10_spl
| an_answer(b_and_c_liars) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f51,f87,f90,f93]) ).
fof(f97,definition,
( sQ11_spl
<=> a_truth(truthteller(c)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( sQ11_spl
| ~ a_truth(truthteller(c)) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,definition,
( sQ12_spl
<=> an_answer(b_liar_and_c_truthteller) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ12_spl
| an_answer(b_liar_and_c_truthteller) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( sQ12_spl
| ~ sQ11_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f52,f87,f97,f100]) ).
fof(f104,definition,
( sQ13_spl
<=> a_truth(truthteller(b)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( sQ13_spl
| ~ a_truth(truthteller(b)) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ14_spl
<=> an_answer(b_truthteller_and_c_liar) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ14_spl
| an_answer(b_truthteller_and_c_liar) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( sQ14_spl
| ~ sQ9_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f53,f104,f90,f107]) ).
fof(f111,definition,
( sQ15_spl
<=> an_answer(b_and_c_truthtellers) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ15_spl
| an_answer(b_and_c_truthtellers) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( sQ15_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f54,f104,f97,f111]) ).
fof(f115,plain,
( sQ9_spl
| a_truth(truthteller(c)) ),
inference(resolution,[status(thm)],[f92,f23]) ).
fof(f116,plain,
( sQ9_spl
| sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f99]) ).
fof(f117,plain,
( sQ9_spl
| sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ8_spl
| a_truth(truthteller(b)) ),
inference(resolution,[status(thm)],[f89,f23]) ).
fof(f119,plain,
( sQ8_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f106]) ).
fof(f120,plain,
( sQ8_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f55]) ).
fof(f122,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f55]) ).
fof(f124,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f55]) ).
fof(f126,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f55]) ).
fof(f128,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f129,plain,
$false,
inference(sat_refutation,[status(thm)],[f96,f103,f110,f114,f117,f120,f122,f124,f126,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:48:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.034671 seconds
% 0.14/0.40 % CPU time: 0.053861 seconds
% 0.14/0.40 % Total memory used: 3.244 MB
% 0.14/0.40 % Net memory used: 3.213 MB
%------------------------------------------------------------------------------