%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ035-4 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 02:31:56 PM UTC 2026
% Result : Unsatisfiable 4.12s 1.10s
% Output : Proof 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 25 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 15 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,axiom,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_is_knight_answer) ).
fof(f4_nnf,plain,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( says(asked,not(or(isa(asked,knight),isa(other,knight))))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f0,axiom,
( truth(isa(P,knave))
| truth(isa(P,knight))
| ~ person(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
fof(f0_nnf,plain,
! [P] :
( truth(isa(P,knave))
| truth(isa(P,knight))
| ~ person(P) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [P] :
( truth(isa(P,knave))
| truth(isa(P,knight))
| ~ person(P) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( truth(isa(X0,knave))
| truth(isa(X0,knight))
| ~ person(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f12,axiom,
person(other),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',other_person) ).
fof(f12_nnf,plain,
person(other),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
person(other),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p15,plain,
( truth(isa(other,knave))
| truth(isa(other,knight)) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(f11,axiom,
person(asked),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asked_person) ).
fof(f11_nnf,plain,
person(asked),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
person(asked),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p14,plain,
( truth(isa(asked,knave))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[c0,c11]) ).
cnf(f13,negated_conjecture,
( ~ says(asked,S)
| ~ truth(isa(other,P2))
| ~ truth(isa(asked,P1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).
fof(f13_nnf,plain,
! [P1,P2,S] :
( ~ says(asked,S)
| ~ truth(isa(other,P2))
| ~ truth(isa(asked,P1)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [P1,P2,S] :
( ~ says(asked,S)
| ~ truth(isa(other,P2))
| ~ truth(isa(asked,P1)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ says(asked,X2)
| ~ truth(isa(other,X1))
| ~ truth(isa(asked,X0)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p16,plain,
( ~ says(asked,X1)
| ~ truth(isa(other,X0))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p14,c13]) ).
cnf(p23,plain,
( ~ says(asked,X0)
| truth(isa(asked,knight))
| truth(isa(other,knight)) ),
inference(resolution,[status(thm)],[p15,p16]) ).
cnf(p26,plain,
( truth(isa(asked,knight))
| truth(isa(other,knight))
| says(asked,or(isa(asked,knight),isa(other,knight))) ),
inference(resolution,[status(thm)],[c4,p23]) ).
cnf(p29,plain,
( truth(isa(asked,knight))
| truth(isa(other,knight))
| truth(isa(asked,knight))
| truth(isa(other,knight)) ),
inference(resolution,[status(thm)],[p26,p23]) ).
cnf(p31,plain,
( truth(isa(asked,knight))
| truth(isa(asked,knight))
| truth(isa(other,knight)) ),
inference(factoring,[status(thm)],[p29]) ).
cnf(p33,plain,
( truth(isa(asked,knight))
| truth(isa(other,knight)) ),
inference(factoring,[status(thm)],[p31]) ).
cnf(p38,plain,
( ~ says(asked,X0)
| truth(isa(asked,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p33,p16]) ).
cnf(p40,plain,
( ~ says(asked,X0)
| truth(isa(asked,knight)) ),
inference(factoring,[status(thm)],[p38]) ).
cnf(p41,plain,
( says(asked,or(isa(asked,knight),isa(other,knight)))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p40,c4]) ).
cnf(p44,plain,
( truth(isa(asked,knight))
| truth(isa(asked,knight)) ),
inference(resolution,[status(thm)],[p41,p40]) ).
cnf(p45,plain,
truth(isa(asked,knight)),
inference(factoring,[status(thm)],[p44]) ).
cnf(p46,plain,
( ~ says(asked,X1)
| ~ truth(isa(other,X0)) ),
inference(resolution,[status(thm)],[p45,c13]) ).
cnf(p51,plain,
( truth(isa(other,knight))
| ~ says(asked,X0) ),
inference(resolution,[status(thm)],[p46,p15]) ).
cnf(p52,plain,
( says(asked,or(isa(asked,knight),isa(other,knight)))
| truth(isa(other,knight)) ),
inference(resolution,[status(thm)],[p51,c4]) ).
cnf(p55,plain,
( truth(isa(other,knight))
| truth(isa(other,knight)) ),
inference(resolution,[status(thm)],[p52,p51]) ).
cnf(p57,plain,
truth(isa(other,knight)),
inference(factoring,[status(thm)],[p55]) ).
cnf(p62,plain,
~ says(asked,X0),
inference(resolution,[status(thm)],[p57,p46]) ).
cnf(p63,plain,
says(asked,or(isa(asked,knight),isa(other,knight))),
inference(resolution,[status(thm)],[p62,c4]) ).
cnf(p66,plain,
$false,
inference(resolution,[status(thm)],[p63,p62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ035-4 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:44:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.12/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.12/1.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------