%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:59:49 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 33
% Syntax : Number of formulae : 106 ( 5 unt; 15 def)
% Number of atoms : 226 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 217 ( 97 ~; 105 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( ~ from_venus(X)
| ~ from_mars(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( female(X)
| male(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ liar(X)
| ~ truthteller(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( truthteller(X)
| ~ a_truth(statement_by(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( liar(X)
| a_truth(statement_by(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( truthteller(X)
| ~ female(X)
| ~ from_venus(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( liar(X)
| ~ male(X)
| ~ from_venus(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( liar(X)
| ~ female(X)
| ~ from_mars(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
statement_by(a) = a_from_mars,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( a_truth(statement_by(b))
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( male(b)
| ~ female(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( female(b)
| ~ male(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( from_mars(a)
| from_mars(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( from_venus(b)
| from_venus(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
! [X0] :
( female(X0)
| male(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
! [X0] :
( ~ liar(X0)
| ~ truthteller(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
! [X0] :
( truthteller(X0)
| ~ a_truth(statement_by(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
! [X0] :
( liar(X0)
| a_truth(statement_by(X0)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
! [X0] :
( truthteller(X0)
| ~ female(X0)
| ~ from_venus(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0] :
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,plain,
! [X0] :
( liar(X0)
| ~ female(X0)
| ~ from_mars(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f50,plain,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f51,plain,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f52,plain,
( ~ a_truth(statement_by(b))
| ~ a_truth(a_from_mars) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f53,plain,
statement_by(a) = a_from_mars,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f54,plain,
statement_by(b) = a_has_lied,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f55,plain,
( a_truth(statement_by(b))
| a_truth(a_from_mars) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f56,plain,
( male(b)
| ~ female(a) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f57,plain,
( female(b)
| ~ male(a) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f58,plain,
( from_mars(a)
| from_mars(b) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f59,plain,
( from_venus(b)
| from_venus(a) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f60,definition,
( sQ0_spl
<=> from_mars(a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f63,definition,
( sQ1_spl
<=> a_truth(a_from_mars) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f60,f63]) ).
fof(f67,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f60,f63]) ).
fof(f68,definition,
( sQ2_spl
<=> a_truth(statement_by(b)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ2_spl
| a_truth(statement_by(b)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f70,plain,
( sQ2_spl
| ~ a_truth(statement_by(b)) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f52,f63,f68]) ).
fof(f72,plain,
( sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f55,f63,f68]) ).
fof(f73,definition,
( sQ3_spl
<=> female(a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ3_spl
| female(a) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f75,plain,
( sQ3_spl
| ~ female(a) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,definition,
( sQ4_spl
<=> male(b) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ4_spl
| male(b) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f56,f73,f76]) ).
fof(f80,definition,
( sQ5_spl
<=> male(a) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ5_spl
| ~ male(a) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ6_spl
<=> female(b) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ6_spl
| female(b) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f80,f83]) ).
fof(f87,definition,
( sQ7_spl
<=> from_mars(b) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( sQ0_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f58,f87,f60]) ).
fof(f91,definition,
( sQ8_spl
<=> from_venus(a) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ8_spl
| from_venus(a) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,definition,
( sQ9_spl
<=> from_venus(b) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f59,f91,f94]) ).
fof(f98,plain,
( ~ sQ8_spl
| ~ from_mars(a) ),
inference(resolution,[status(thm)],[f30,f92]) ).
fof(f101,plain,
( sQ3_spl
| male(a) ),
inference(resolution,[status(thm)],[f75,f31]) ).
fof(f102,plain,
( sQ3_spl
| sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f82]) ).
fof(f103,plain,
( sQ3_spl
| sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( ~ sQ6_spl
| truthteller(b)
| ~ from_venus(b) ),
inference(resolution,[status(thm)],[f84,f40]) ).
fof(f105,definition,
( sQ10_spl
<=> truthteller(b) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ10_spl
| truthteller(b) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( ~ sQ6_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f104,f94,f105,f83]) ).
fof(f109,plain,
( ~ sQ4_spl
| liar(b)
| ~ from_venus(b) ),
inference(resolution,[status(thm)],[f77,f41]) ).
fof(f110,definition,
( sQ11_spl
<=> liar(b) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ11_spl
| liar(b) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( ~ sQ4_spl
| sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f109,f94,f110,f76]) ).
fof(f122,plain,
( ~ sQ3_spl
| truthteller(a)
| ~ from_venus(a) ),
inference(resolution,[status(thm)],[f74,f40]) ).
fof(f123,definition,
( sQ12_spl
<=> truthteller(a) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ12_spl
| truthteller(a) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ sQ3_spl
| sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f122,f91,f123,f73]) ).
fof(f132,plain,
( liar(a)
| a_truth(a_from_mars) ),
inference(paramodulation,[status(thm)],[f53,f39]) ).
fof(f133,plain,
( truthteller(a)
| ~ a_truth(a_from_mars) ),
inference(paramodulation,[status(thm)],[f53,f38]) ).
fof(f134,definition,
( sQ13_spl
<=> liar(a) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ13_spl
| liar(a) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ13_spl
| ~ liar(a) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( sQ13_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f132,f63,f134]) ).
fof(f138,plain,
( sQ12_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f133,f63,f123]) ).
fof(f141,plain,
( ~ sQ13_spl
| ~ truthteller(a) ),
inference(resolution,[status(thm)],[f135,f34]) ).
fof(f142,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f124]) ).
fof(f143,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f142]) ).
fof(f146,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f98,f60,f91]) ).
fof(f163,plain,
( liar(b)
| a_truth(a_has_lied) ),
inference(paramodulation,[status(thm)],[f54,f39]) ).
fof(f164,plain,
( truthteller(b)
| ~ a_truth(a_has_lied) ),
inference(paramodulation,[status(thm)],[f54,f38]) ).
fof(f165,definition,
( sQ14_spl
<=> a_truth(a_has_lied) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( sQ11_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f163,f165,f110]) ).
fof(f169,plain,
( sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f164,f165,f105]) ).
fof(f176,plain,
( ~ sQ6_spl
| liar(b)
| ~ from_mars(b) ),
inference(resolution,[status(thm)],[f84,f43]) ).
fof(f179,plain,
( ~ sQ6_spl
| sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f176,f87,f110,f83]) ).
fof(f181,plain,
( ~ sQ2_spl
| a_truth(a_has_lied) ),
inference(forward_demodulation,[status(thm)],[f54,f69]) ).
fof(f183,plain,
( ~ sQ11_spl
| ~ truthteller(b) ),
inference(resolution,[status(thm)],[f111,f34]) ).
fof(f186,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f106]) ).
fof(f187,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ2_spl
| ~ a_truth(a_has_lied) ),
inference(forward_demodulation,[status(thm)],[f54,f70]) ).
fof(f191,plain,
( ~ sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f181,f165,f68]) ).
fof(f192,plain,
( sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f188,f165,f68]) ).
fof(f204,plain,
( sQ13_spl
| ~ female(a)
| ~ from_mars(a) ),
inference(resolution,[status(thm)],[f136,f43]) ).
fof(f207,plain,
( sQ13_spl
| ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f204,f60,f73,f134]) ).
fof(f209,plain,
$false,
inference(sat_refutation,[status(thm)],[f66,f67,f71,f72,f79,f86,f90,f97,f103,f108,f113,f126,f137,f138,f143,f146,f168,f169,f179,f187,f191,f192,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n006.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 03:44:42 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.057328 seconds
% 0.12/0.41 % CPU time: 0.153330 seconds
% 0.12/0.41 % Total memory used: 102.006 MB
% 0.12/0.41 % Net memory used: 101.763 MB
%------------------------------------------------------------------------------