%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ035-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 5.64s 1.49s
% Output : Proof 5.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 11 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 48 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 39 ( 23 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f0,axiom,
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
fof(f0_nnf,plain,
! [X] :
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( isa(X,knave)
| isa(X,knight)
| ~ person(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( isa(X0,knave)
| isa(X0,knight)
| ~ person(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(f13,axiom,
person(other),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',other_person) ).
fof(f13_nnf,plain,
person(other),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
person(other),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p16,plain,
( isa(other,knave)
| isa(other,knight) ),
inference(resolution,[status(thm)],[c0,c13]) ).
cnf(f12,axiom,
person(asked),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asked_person) ).
fof(f12_nnf,plain,
person(asked),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
person(asked),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(p15,plain,
( isa(asked,knave)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[c0,c12]) ).
cnf(f11,axiom,
( response(no)
| response(yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_answers) ).
fof(f11_nnf,plain,
( response(no)
| response(yes) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( response(no)
| response(yes) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( response(no)
| response(yes) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f14,negated_conjecture,
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).
fof(f14_nnf,plain,
! [A,X,Y] :
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,X,Y] :
( ~ isa(other,Y)
| ~ isa(asked,X)
| ~ response(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ isa(other,X2)
| ~ isa(asked,X1)
| ~ response(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p17,plain,
( ~ isa(other,X1)
| ~ isa(asked,X0)
| response(yes) ),
inference(resolution,[status(thm)],[c11,c14]) ).
cnf(p18,plain,
( ~ isa(other,X0)
| response(yes)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p15,p17]) ).
cnf(p23,plain,
( response(yes)
| isa(asked,knight)
| isa(other,knight) ),
inference(resolution,[status(thm)],[p16,p18]) ).
cnf(p29,plain,
( response(yes)
| isa(asked,knight)
| response(yes)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p23,p18]) ).
cnf(p60,plain,
( response(yes)
| response(yes)
| isa(asked,knight) ),
inference(factoring,[status(thm)],[p29]) ).
cnf(p62,plain,
( response(yes)
| isa(asked,knight) ),
inference(factoring,[status(thm)],[p60]) ).
cnf(p63,plain,
( ~ isa(other,X0)
| response(yes)
| response(yes) ),
inference(resolution,[status(thm)],[p62,p17]) ).
cnf(p69,plain,
( ~ isa(other,X0)
| response(yes) ),
inference(factoring,[status(thm)],[p63]) ).
cnf(p70,plain,
( isa(other,knight)
| response(yes) ),
inference(resolution,[status(thm)],[p69,p16]) ).
cnf(p74,plain,
( response(yes)
| response(yes) ),
inference(resolution,[status(thm)],[p70,p69]) ).
cnf(p75,plain,
response(yes),
inference(factoring,[status(thm)],[p74]) ).
cnf(p76,plain,
( ~ isa(other,X1)
| ~ isa(asked,X0) ),
inference(resolution,[status(thm)],[p75,c14]) ).
cnf(p82,plain,
( isa(asked,knight)
| ~ isa(other,X0) ),
inference(resolution,[status(thm)],[p76,p15]) ).
cnf(p83,plain,
( isa(other,knight)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p82,p16]) ).
cnf(f7,axiom,
( ~ isa(Anyone,knight)
| ~ lies(asked)
| ~ response(yes) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_answers1) ).
fof(f7_nnf,plain,
! [Anyone] :
( ~ isa(Anyone,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Anyone] :
( ~ isa(Anyone,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ isa(X0,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p78,plain,
( ~ isa(X0,knight)
| ~ lies(asked) ),
inference(resolution,[status(thm)],[p75,c7]) ).
cnf(f3,axiom,
( lies(X)
| ~ isa(X,knave) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_make_false_statements) ).
fof(f3_nnf,plain,
! [X] :
( lies(X)
| ~ isa(X,knave) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( lies(X)
| ~ isa(X,knave) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( lies(X0)
| ~ isa(X0,knave) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p19,plain,
( lies(asked)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[p15,c3]) ).
cnf(p20,plain,
( ~ isa(other,X0)
| response(yes)
| lies(asked) ),
inference(resolution,[status(thm)],[p19,p17]) ).
cnf(p24,plain,
( response(yes)
| lies(asked)
| isa(other,knight) ),
inference(resolution,[status(thm)],[p16,p20]) ).
cnf(p26,plain,
( response(yes)
| lies(asked)
| response(yes)
| lies(asked) ),
inference(resolution,[status(thm)],[p24,p20]) ).
cnf(p35,plain,
( response(yes)
| response(yes)
| lies(asked) ),
inference(factoring,[status(thm)],[p26]) ).
cnf(p37,plain,
( response(yes)
| lies(asked) ),
inference(factoring,[status(thm)],[p35]) ).
cnf(p38,plain,
( ~ isa(other,X1)
| ~ isa(asked,X0)
| lies(asked) ),
inference(resolution,[status(thm)],[p37,c14]) ).
cnf(p39,plain,
( lies(asked)
| ~ isa(other,X0)
| lies(asked) ),
inference(resolution,[status(thm)],[p38,p19]) ).
cnf(p40,plain,
( ~ isa(other,X0)
| lies(asked) ),
inference(factoring,[status(thm)],[p39]) ).
cnf(p41,plain,
( isa(other,knight)
| lies(asked) ),
inference(resolution,[status(thm)],[p40,p16]) ).
cnf(p43,plain,
( lies(asked)
| lies(asked) ),
inference(resolution,[status(thm)],[p41,p40]) ).
cnf(p44,plain,
lies(asked),
inference(factoring,[status(thm)],[p43]) ).
cnf(p79,plain,
~ isa(X0,knight),
inference(resolution,[status(thm)],[p78,p44]) ).
cnf(p84,plain,
isa(asked,knight),
inference(resolution,[status(thm)],[p83,p79]) ).
cnf(p85,plain,
$false,
inference(resolution,[status(thm)],[p84,p79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ035-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 06:45:35 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.64/1.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.64/1.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------