%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 : Fri Sep 25 02:31:49 PM UTC 2026
% Result : Unsatisfiable 5.54s 1.33s
% Output : Proof 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 35 unt; 0 def)
% Number of atoms : 156 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 128 ( 65 ~; 63 |; 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 : 33 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f11,axiom,
( liar(X)
| ~ male(X)
| ~ from_venus(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',venusian_males_are_liars) ).
fof(f11_nnf,plain,
! [X] :
( liar(X)
| ~ male(X)
| ~ from_venus(X) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] :
( liar(X)
| ~ male(X)
| ~ from_venus(X) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f0,axiom,
( from_venus(X)
| from_mars(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',from_mars_or_venus) ).
fof(f0_nnf,plain,
! [X] :
( from_venus(X)
| from_mars(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( from_venus(X)
| from_mars(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( from_venus(X0)
| from_mars(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p51,plain,
( from_mars(X0)
| liar(X0)
| ~ male(X0) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(f7,axiom,
( Y = statement_by(X)
| ~ says(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',people_say_their_statements) ).
fof(f7_nnf,plain,
! [X,Y] :
( Y = statement_by(X)
| ~ says(X,Y) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] :
( Y = statement_by(X)
| ~ says(X,Y) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( X1 = statement_by(X0)
| ~ says(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(f17,hypothesis,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).
fof(f17_nnf,plain,
says(bog,ork_is_from_mars),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
says(bog,ork_is_from_mars),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p33,plain,
ork_is_from_mars = statement_by(bog),
inference(resolution,[status(thm)],[c7,c17]) ).
cnf(f19,hypothesis,
says(bog,ork_is_female),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_female) ).
fof(f19_nnf,plain,
says(bog,ork_is_female),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
says(bog,ork_is_female),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(p35,plain,
ork_is_female = statement_by(bog),
inference(resolution,[status(thm)],[c7,c19]) ).
cnf(p43,plain,
ork_is_female = ork_is_from_mars,
inference(superposition,[status(thm)],[p33,p35]) ).
cnf(f27,hypothesis,
( a_truth(ork_is_female)
| ~ female(ork) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female2) ).
fof(f27_nnf,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p45,plain,
( a_truth(ork_is_from_mars)
| ~ female(ork) ),
inference(demodulation,[status(thm)],[p43,c27]) ).
cnf(f2,axiom,
( female(X)
| male(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',male_or_female) ).
fof(f2_nnf,plain,
! [X] :
( female(X)
| male(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( female(X)
| male(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( female(X0)
| male(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p50,plain,
( male(ork)
| a_truth(ork_is_from_mars) ),
inference(resolution,[status(thm)],[p45,c2]) ).
cnf(f8,axiom,
( truthteller(X)
| ~ a_truth(statement_by(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_statements_made_by_truthtellers) ).
fof(f8_nnf,plain,
! [X] :
( truthteller(X)
| ~ a_truth(statement_by(X)) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( truthteller(X)
| ~ a_truth(statement_by(X)) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( truthteller(X0)
| ~ a_truth(statement_by(X0)) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p40,plain,
( truthteller(bog)
| ~ a_truth(ork_is_from_mars) ),
inference(superposition,[status(thm)],[p33,c8]) ).
cnf(p55,plain,
( truthteller(bog)
| male(ork) ),
inference(resolution,[status(thm)],[p50,p40]) ).
cnf(f5,axiom,
( ~ liar(X)
| ~ truthteller(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_truthteller_and_liar) ).
fof(f5_nnf,plain,
! [X] :
( ~ liar(X)
| ~ truthteller(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ liar(X)
| ~ truthteller(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ liar(X0)
| ~ truthteller(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p57,plain,
( ~ liar(bog)
| male(ork) ),
inference(resolution,[status(thm)],[p55,c5]) ).
cnf(f16,hypothesis,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).
fof(f16_nnf,plain,
says(ork,bog_is_from_venus),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
says(ork,bog_is_from_venus),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(p32,plain,
bog_is_from_venus = statement_by(ork),
inference(resolution,[status(thm)],[c7,c16]) ).
cnf(f18,hypothesis,
says(ork,bog_is_male),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_male) ).
fof(f18_nnf,plain,
says(ork,bog_is_male),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
says(ork,bog_is_male),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(p34,plain,
bog_is_male = statement_by(ork),
inference(resolution,[status(thm)],[c7,c18]) ).
cnf(p37,plain,
bog_is_male = bog_is_from_venus,
inference(superposition,[status(thm)],[p32,p34]) ).
cnf(f26,hypothesis,
( a_truth(bog_is_male)
| ~ male(bog) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male2) ).
fof(f26_nnf,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(f28,negated_conjecture,
~ female(bog),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bog_is_female) ).
fof(f28_nnf,plain,
~ female(bog),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
~ female(bog),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
~ female(bog),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p29,plain,
male(bog),
inference(resolution,[status(thm)],[c2,c28]) ).
cnf(p31,plain,
a_truth(bog_is_male),
inference(resolution,[status(thm)],[c26,p29]) ).
cnf(p38,plain,
a_truth(bog_is_from_venus),
inference(demodulation,[status(thm)],[p37,p31]) ).
cnf(f20,hypothesis,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_from_venus1) ).
fof(f20_nnf,plain,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p41,plain,
from_venus(bog),
inference(resolution,[status(thm)],[p38,c20]) ).
cnf(p52,plain,
( liar(bog)
| ~ male(bog) ),
inference(resolution,[status(thm)],[c11,p41]) ).
cnf(p53,plain,
liar(bog),
inference(resolution,[status(thm)],[p52,p29]) ).
cnf(p58,plain,
male(ork),
inference(resolution,[status(thm)],[p57,p53]) ).
cnf(p61,plain,
( from_mars(ork)
| liar(ork) ),
inference(resolution,[status(thm)],[p51,p58]) ).
cnf(p39,plain,
( truthteller(ork)
| ~ a_truth(bog_is_from_venus) ),
inference(superposition,[status(thm)],[p32,c8]) ).
cnf(p47,plain,
truthteller(ork),
inference(resolution,[status(thm)],[p39,p38]) ).
cnf(p48,plain,
~ liar(ork),
inference(resolution,[status(thm)],[p47,c5]) ).
cnf(p62,plain,
from_mars(ork),
inference(resolution,[status(thm)],[p61,p48]) ).
cnf(f25,hypothesis,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_from_mars2) ).
fof(f25_nnf,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p65,plain,
a_truth(ork_is_from_mars),
inference(resolution,[status(thm)],[p62,c25]) ).
cnf(f23,hypothesis,
( female(ork)
| ~ a_truth(ork_is_female) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female1) ).
fof(f23_nnf,plain,
( female(ork)
| ~ a_truth(ork_is_female) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
( female(ork)
| ~ a_truth(ork_is_female) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( female(ork)
| ~ a_truth(ork_is_female) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p44,plain,
( female(ork)
| ~ a_truth(ork_is_from_mars) ),
inference(demodulation,[status(thm)],[p43,c23]) ).
cnf(p67,plain,
female(ork),
inference(resolution,[status(thm)],[p65,p44]) ).
cnf(f3,axiom,
( ~ female(X)
| ~ male(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_male_and_female) ).
fof(f3_nnf,plain,
! [X] :
( ~ female(X)
| ~ male(X) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ female(X)
| ~ male(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ female(X0)
| ~ male(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p59,plain,
~ female(ork),
inference(resolution,[status(thm)],[p58,c3]) ).
cnf(p72,plain,
$false,
inference(resolution,[status(thm)],[p67,p59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 06:36:29 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.54/1.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.54/1.33 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------