%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 61 ( 27 unt; 0 def)
% Number of atoms : 98 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 35 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f8,axiom,
! [X,Y] :
( Y = statement_by(X)
| ~ says(X,Y) ),
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(f12,axiom,
! [X] :
( liar(X)
| ~ male(X)
| ~ from_venus(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
says(ork,bog_is_male),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
says(bog,ork_is_female),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
( male(bog)
| ~ a_truth(bog_is_male) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( female(ork)
| ~ a_truth(ork_is_female) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
( a_truth(bog_is_male)
| ~ male(bog) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( a_truth(ork_is_female)
| ~ female(ork) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ female(bog),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0] :
( from_venus(X0)
| from_mars(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
! [X0] :
( female(X0)
| male(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
! [X0] :
( ~ liar(X0)
| ~ truthteller(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
! [X0,X1] :
( X1 = statement_by(X0)
| ~ says(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f39,plain,
! [X0] :
( truthteller(X0)
| ~ a_truth(statement_by(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
! [X0] :
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f49,plain,
says(ork,bog_is_from_venus),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f50,plain,
says(bog,ork_is_from_mars),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f51,plain,
says(ork,bog_is_male),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f52,plain,
says(bog,ork_is_female),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f53,plain,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
( male(bog)
| ~ a_truth(bog_is_male) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
( female(ork)
| ~ a_truth(ork_is_female) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f58,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f59,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f60,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f61,plain,
~ female(bog),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f65,plain,
ork_is_female = statement_by(bog),
inference(resolution,[status(thm)],[f38,f52]) ).
fof(f66,plain,
ork_is_from_mars = statement_by(bog),
inference(resolution,[status(thm)],[f38,f50]) ).
fof(f67,plain,
bog_is_male = statement_by(ork),
inference(resolution,[status(thm)],[f38,f51]) ).
fof(f68,plain,
bog_is_from_venus = statement_by(ork),
inference(resolution,[status(thm)],[f38,f49]) ).
fof(f70,plain,
ork_is_from_mars = ork_is_female,
inference(forward_demodulation,[status(thm)],[f65,f66]) ).
fof(f72,plain,
bog_is_from_venus = bog_is_male,
inference(forward_demodulation,[status(thm)],[f67,f68]) ).
fof(f73,plain,
( truthteller(ork)
| ~ a_truth(bog_is_male) ),
inference(paramodulation,[status(thm)],[f67,f39]) ).
fof(f74,plain,
( truthteller(bog)
| ~ a_truth(ork_is_female) ),
inference(paramodulation,[status(thm)],[f65,f39]) ).
fof(f78,plain,
( from_venus(bog)
| ~ a_truth(bog_is_male) ),
inference(forward_demodulation,[status(thm)],[f72,f53]) ).
fof(f81,plain,
( a_truth(ork_is_female)
| ~ from_mars(ork) ),
inference(forward_demodulation,[status(thm)],[f70,f58]) ).
fof(f82,plain,
( from_venus(ork)
| a_truth(ork_is_female) ),
inference(resolution,[status(thm)],[f81,f30]) ).
fof(f83,plain,
( female(bog)
| a_truth(bog_is_male) ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f84,plain,
a_truth(bog_is_male),
inference(forward_subsumption_resolution,[status(thm)],[f83,f61]) ).
fof(f85,plain,
male(bog),
inference(backward_subsumption_resolution,[status(thm)],[f55,f84]) ).
fof(f86,plain,
from_venus(bog),
inference(backward_subsumption_resolution,[status(thm)],[f78,f84]) ).
fof(f88,plain,
( liar(bog)
| ~ male(bog) ),
inference(resolution,[status(thm)],[f86,f42]) ).
fof(f90,plain,
liar(bog),
inference(forward_subsumption_resolution,[status(thm)],[f88,f85]) ).
fof(f91,plain,
truthteller(ork),
inference(forward_subsumption_resolution,[status(thm)],[f73,f84]) ).
fof(f92,plain,
~ liar(ork),
inference(resolution,[status(thm)],[f91,f35]) ).
fof(f93,plain,
( liar(ork)
| ~ male(ork)
| a_truth(ork_is_female) ),
inference(resolution,[status(thm)],[f82,f42]) ).
fof(f95,plain,
( ~ male(ork)
| a_truth(ork_is_female) ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f92]) ).
fof(f96,plain,
( female(ork)
| a_truth(ork_is_female) ),
inference(resolution,[status(thm)],[f95,f32]) ).
fof(f97,plain,
female(ork),
inference(forward_subsumption_resolution,[status(thm)],[f96,f56]) ).
fof(f102,plain,
a_truth(ork_is_female),
inference(backward_subsumption_resolution,[status(thm)],[f60,f97]) ).
fof(f103,plain,
truthteller(bog),
inference(backward_subsumption_resolution,[status(thm)],[f74,f102]) ).
fof(f105,plain,
~ liar(bog),
inference(resolution,[status(thm)],[f103,f35]) ).
fof(f106,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f105,f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:46:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.052774 seconds
% 0.12/0.42 % CPU time: 0.143302 seconds
% 0.12/0.42 % Total memory used: 80.328 MB
% 0.12/0.42 % Net memory used: 80.090 MB
%------------------------------------------------------------------------------