%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 7 unt; 6 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 178 ( 86 ~; 86 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( a_truth(liar(X))
| a_truth(truthteller(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y] :
( answer(yes)
| ~ a_truth(Y)
| ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] :
( answer(no)
| a_truth(Y)
| ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( answer(no)
| ~ a_truth(Y)
| ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] :
( answer(yes)
| a_truth(Y)
| ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [Answer] : ~ answer(Answer),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
( answer(yes)
| ! [Y] :
( ~ a_truth(Y)
| ! [X] :
( ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f49,plain,
! [X0,X1] :
( answer(yes)
| ~ a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
( answer(no)
| ! [Y] :
( a_truth(Y)
| ! [X] :
( ~ a_truth(truthteller(X))
| ~ ask_1_if_2(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f51,plain,
! [X0,X1] :
( answer(no)
| a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
( answer(no)
| ! [Y] :
( ~ a_truth(Y)
| ! [X] :
( ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f53,plain,
! [X0,X1] :
( answer(no)
| ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
( answer(yes)
| ! [Y] :
( a_truth(Y)
| ! [X] :
( ~ a_truth(liar(X))
| ~ ask_1_if_2(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f55,plain,
! [X0,X1] :
( answer(yes)
| a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f61,plain,
ask_1_if_2(c,equal_type(a,b)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f62,plain,
! [X0] : ~ answer(X0),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f63,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f64,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,definition,
( sQ1_spl
<=> answer(yes) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( ~ sQ1_spl
| answer(yes) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f63,f66]) ).
fof(f70,definition,
! [X0,X1] :
( sQ2_spl
<=> ( a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f71,plain,
! [X0,X1] :
( ~ sQ2_spl
| a_truth(X1)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,definition,
( sQ3_spl
<=> answer(no) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ3_spl
| answer(no) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f70,f73]) ).
fof(f77,definition,
! [X0,X1] :
( sQ4_spl
<=> ( ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f78,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f53,f77,f73]) ).
fof(f81,definition,
! [X0,X1] :
( sQ5_spl
<=> ( a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sQ5_spl
| a_truth(X1)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f55,f81,f66]) ).
fof(f85,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f62]) ).
fof(f86,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f62]) ).
fof(f88,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ0_spl
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f64]) ).
fof(f90,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f82]) ).
fof(f104,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ0_spl
| ~ ask_1_if_2(X0,X1)
| a_truth(liar(X0)) ),
inference(resolution,[status(thm)],[f25,f89]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ ask_1_if_2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f90]) ).
fof(f106,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f105]) ).
fof(f107,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
$false,
inference(sat_refutation,[status(thm)],[f69,f76,f80,f84,f86,f88,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n013.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 03:45:21 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.49 % Elapsed time: 0.048862 seconds
% 0.15/0.49 % CPU time: 0.144695 seconds
% 0.15/0.49 % Total memory used: 17.193 MB
% 0.15/0.49 % Net memory used: 16.887 MB
%------------------------------------------------------------------------------